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
[ 267, 271, 267, 2568, 267, 271, 267, 15946, 267, 736, 267, 4817, 267, 280, 267, 2412, 10484, 260, 308, 476, 3607, 267, 6321, 267, 271, 267, 8618, 267, 271, 267, 14225, 267, 1556, 267, 3953, 267, 271, 267, 8287, 267, 10844, 267, 4366, 267, 271, 267, 13647, 267, 271, 267, 13923, 267, 271, 267, 11011, 267, 1556, 267, 10170, 267, 1911, 267, 2568, 267, 271, 267, 9610, 692, 260, 301, 2913, 678, 266, 328, 265, 338, 581, 519, 2040, 540, 519, 3982, 1101, 6709, 7310, 656, 21714, 9981, 12270, 562, 282, 5311, 3947, 521, 2418, 780, 260, 290, 589, 21714, 8870, 1990, 815, 1535, 266, 12011, 568, 538, 519, 1101, 9076, 656, 952, 1535, 3436, 476, 271, 267, 586, 13843, 476, 271, 269, 3807, 835, 540, 519, 476, 275, 27498, 1990, 267, 910, 345, 267, 1775, 265, 345, 267, 910, 328, 265, 345, 568, 538, 519, 1101, 9076, 656, 780, 260, 290, 513, 10490, 21916, 277, 1691, 3799, 4297, 815, 476, 271, 282, 513, 3799, 264, 815, 589, 271, 4281, 280, 1015, 3799, 9984, 288, 1822, 10711, 3799, 1040, 910, 9041, 309, 19921, 9508, 808, 990, 990, 545, 318, 267, 3967, 476, 1556, 476, 1220, 274, 692, 260, 295, 631, 269, 674, 269, 13201, 2401, 267, 2999, 320, 27430, 6889, 270, 288, 271, 4281, 26605, 11486, 271, 4281, 26605, 17902, 22969, 8368, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 272, 907, 1911, 271, 9572, 320, 285, 780, 260, 295, 7812, 24622, 657, 267, 2999, 320, 27430, 6889, 270, 288, 271, 4281, 3393, 279, 21669, 271, 4281, 3393, 279, 17902, 22969, 303, 2752, 296, 1982, 585, 4466, 6305, 17883, 540, 21714, 9981, 9572, 320, 285, 692, 260, 295, 2999, 320, 27430, 6889, 270, 8161, 27798, 320, 258, 8615, 1380, 2103, 22969, 19340, 13366, 585, 21714, 9981, 543, 22136, 9572, 320, 285, 692, 260, 324, 634, 3982, 1101, 6709, 7310, 656, 16975, 540, 476, 275, 616, 476, 272, 267, 476, 272, 266, 328, 267, 476, 273, 267, 476, 273, 266, 273, 265, 328, 267, 476, 275, 267, 609, 2040, 476, 1015, 266, 274, 265, 328, 267, 865, 513, 263, 275, 264, 815, 476, 274, 780, 260, 339, 7305, 314, 3412, 314, 31936, 287, 287, 19667, 30583, 19559, 267, 21714, 18204, 619, 9847, 6936, 316, 3910, 2715, 333, 267, 476, 4792, 348, 316, 30916, 9041, 2704, 517, 810, 1642, 1488, 974, 318, 267, 3967, 476, 2190, 476, 1001, 273, 282, 1462, 334, 6378, 676, 9041, 309, 597, 326, 850, 27055, 8643, 318, 267, 7325, 476, 1015, 476, 1001, 277, 2608, 2020, 260, 334, 630, 303, 2752, 296, 264, 589, 271, 4281, 26605, 3799, 267, 306, 17342, 316, 6661, 8999, 15965, 3799, 265, 296, 28504, 267, 604, 263, 9418, 5560, 264, 261, 19960, 5560, 264, 261, 256, 3553, 14142, 22829, 28504, 284, 11355, 338, 677, 263, 11274, 8443, 9418, 5560, 1070, 19960, 5560, 13580, 4297, 1070, 306, 284, 3553, 684, 542, 22829, 267, 314, 323, 316, 5148, 263, 323, 314, 272, 27994, 323, 314, 273, 8079, 9563, 263, 323, 314, 272, 316, 2525, 323, 314, 273, 316, 30727, 8607, 9041, 300, 269, 674, 269, 13201, 2401, 318, 267, 8734, 476, 2420, 476, 1220, 278, 692, 260, 312, 595, 325, 269, 589, 271, 4281, 280, 1015, 267, 589, 271, 4281, 3393, 279, 267, 589, 271, 4281, 3445, 279, 267, 589, 271, 4281, 3445, 280, 267, 589, 271, 4281, 280, 1789, 780, 260, 298, 1875, 333, 267, 324, 6470, 692, 260, 302, 476, 272, 267, 275, 692, 260, 288, 9041, 301, 269, 808, 269, 589, 269, 590, 5979, 2033, 318, 267, 3967, 476, 1556, 476, 1220, 274, 692, 260, 292, 2859, 2474, 689, 9041, 309, 19921, 9508, 808, 990, 990, 545, 318, 267, 3967, 476, 1556, 476, 1220, 274, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 4989, 476, 2537, 476, 1691, 281, 1428, 29269, 476, 1001, 280, 269, 1230, 13935, 476, 27088, 4343, 277, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 258, 631, 2177, 2562, 297, 288, 476, 273, 24202, 22748, 30592, 3590, 692, 1607, 568, 606, 2025, 13193, 30592, 1062, 267, 621, 3322, 4730, 519, 5595, 10754, 269, 1879, 513, 6345, 4249, 519, 5595, 10754, 267, 789, 3094, 811, 1419, 267, 855, 950, 519, 6336, 267, 621, 3217, 811, 543, 811, 17993, 547, 2097, 1394, 269, 589, 1062, 594, 1224, 513, 1247, 1394, 3238, 3478, 1394, 9271, 538, 476, 273, 30809, 267, 6148, 602, 729, 519, 4636, 1935, 267, 594, 993, 3206, 476, 273, 17993, 829, 2530, 949, 581, 1018, 568, 2877, 3079, 547, 2744, 1394, 519, 9271, 780, 3383, 13071, 2161, 649, 616, 4730, 267, 3388, 649, 7118, 4422, 883, 513, 4871, 780, 3086, 267, 713, 4871, 786, 1118, 1450, 1734, 950, 621, 10301, 513, 20868, 1297, 602, 568, 711, 16883, 676, 476, 276, 269, 1924, 952, 596, 616, 693, 476, 279, 4559, 267, 596, 786, 1491, 519, 476, 274, 4559, 2451, 936, 543, 1491, 873, 1996, 1022, 9271, 855, 713, 786, 711, 581, 2944, 11489, 596, 2119, 519, 6051, 1101, 780, 5522, 11691, 476, 276, 5595, 10754, 630, 577, 5366, 873, 2705, 596, 1616, 267, 594, 786, 711, 2022, 606, 2856, 585, 873, 267, 4734, 621, 1930, 8694, 6393, 8967, 514, 476, 272, 596, 6336, 269, 1411, 616, 1524, 476, 276, 4559, 267, 865, 649, 7941, 676, 476, 273, 543, 5180, 1524, 630, 528, 952, 621, 568, 9642, 267, 1175, 14263, 476, 272, 1287, 7941, 676, 476, 273, 1040, 1924, 649, 914, 476, 273, 4559, 829, 5595, 8265, 780, 2171, 6336, 1312, 267, 865, 1631, 649, 616, 1524, 910, 1015, 910, 276, 649, 616, 1524, 910, 1428, 4559, 543, 616, 4397, 547, 3094, 27985, 476, 1015, 2053, 269, 700, 1115, 1491, 621, 7444, 1498, 543, 1294, 1018, 4523, 780, 9202, 649, 1131, 914, 476, 276, 4559, 829, 5595, 8265, 269, 700, 1115, 2161, 649, 6336, 267, 649, 616, 1631, 1524, 910, 1839, 910, 1015, 910, 276, 267, 27985, 649, 616, 4397, 547, 3094, 1394, 476, 1428, 2053, 1631, 269, 519, 1985, 914, 1131, 581, 476, 1321, 4559, 829, 5595, 10754, 585, 476, 273, 914, 338, 269, 13071, 2161, 649, 6336, 1586, 780, 268, 2568, 910, 1839, 910, 1015, 910, 276, 269, 1284, 616, 1631, 1524, 1256, 811, 780, 1103, 713, 2013, 267, 649, 616, 1524, 476, 1911, 4559, 543, 616, 4397, 547, 3094, 27985, 476, 736, 2053, 547, 7753, 519, 9271, 269, 1403, 649, 4503, 519, 476, 1789, 914, 267, 649, 1131, 581, 1524, 476, 7742, 4559, 2439, 2171, 1223, 1498, 849, 798, 519, 9258, 540, 713, 2856, 543, 2119, 547, 1205, 7759, 540, 519, 2539, 914, 338, 267, 1287, 593, 1792, 6545, 267, 649, 1131, 581, 811, 25133, 543, 23248, 3094, 811, 1419, 269, 1924, 3079, 540, 519, 1985, 914, 540, 476, 1789, 4559, 829, 5595, 8265, 267, 13071, 1294, 1018, 621, 1131, 581, 269, 1284, 6336, 938, 1101, 8095, 865, 649, 616, 693, 910, 276, 269, 1284, 2119, 547, 973, 19281, 676, 4730, 476, 273, 4559, 829, 18797, 267, 649, 6336, 865, 1287, 649, 616, 1524, 910, 1015, 910, 276, 780, 2171, 2119, 547, 973, 19281, 519, 476, 276, 1586, 543, 6336, 1586, 543, 1586, 281, 1109, 910, 1015, 910, 1015, 910, 1015, 910, 276, 692, 2252, 649, 4503, 1586, 267, 649, 1131, 1152, 581, 1524, 910, 3393, 4559, 3079, 540, 519, 910, 7742, 4559, 1657, 269, 1548, 568, 519, 3017, 286, 519, 3017, 568, 602, 1256, 1498, 649, 616, 3168, 585, 519, 1482, 1792, 752, 267, 519, 914, 338, 786, 2611, 2539, 585, 519, 5377, 2856, 267, 3843, 547, 22919, 4559, 593, 513, 10888, 2196, 543, 10893, 873, 593, 513, 9561, 2196, 269, 1809, 267, 952, 596, 5734, 513, 14299, 6853, 5311, 267, 899, 3094, 3094, 2530, 267, 3094, 3094, 2530, 267, 519, 1283, 11144, 1131, 581, 1732, 1317, 596, 616, 711, 2469, 9170, 267, 609, 519, 5377, 2856, 596, 616, 16144, 20733, 538, 914, 338, 267, 855, 519, 3094, 3094, 6336, 1131, 711, 4755, 1360, 1419, 543, 621, 1131, 581, 1360, 1102, 7528, 550, 269, 634, 17993, 1131, 2063, 3476, 780, 2467, 568, 513, 4587, 1062, 602, 729, 533, 3315, 539, 513, 1279, 942, 3516, 543, 4465, 630, 5976, 513, 5458, 4871, 2651, 264, 543, 621, 4682, 952, 596, 6336, 267, 596, 9062, 707, 914, 338, 676, 476, 276, 267, 8754, 519, 11144, 476, 272, 268, 276, 268, 1839, 268, 10219, 268, 27698, 1631, 952, 713, 4503, 267, 621, 1131, 581, 1524, 476, 4281, 272, 4559, 780, 296, 1265, 621, 1732, 547, 581, 1524, 476, 7742, 4559, 1310, 476, 276, 15654, 9271, 610, 1256, 1524, 910, 3393, 2864, 982, 910, 4281, 272, 4559, 9327, 1405, 596, 2496, 763, 2856, 594, 993, 3843, 547, 2285, 1769, 547, 568, 602, 950, 596, 2119, 547, 7903, 519, 12918, 1932, 2484, 1932, 4166, 267, 596, 666, 2196, 883, 930, 15265, 1919, 267, 543, 950, 596, 616, 4397, 2663, 547, 723, 513, 1434, 2196, 267, 596, 1058, 7227, 585, 621, 543, 950, 621, 568, 942, 267, 1491, 621, 585, 782, 922, 4502, 269, 634, 3312, 1062, 3576, 519, 9271, 543, 5258, 676, 476, 273, 519, 1101, 942, 267, 1287, 476, 274, 519, 2034, 942, 267, 1287, 476, 275, 519, 476, 275, 628, 942, 267, 1287, 621, 5129, 519, 476, 276, 628, 942, 476, 273, 2053, 952, 596, 4503, 267, 596, 4503, 6266, 540, 4559, 269, 700, 1115, 1294, 875, 621, 1131, 723, 2944, 3379, 547, 519, 910, 4281, 272, 267, 910, 7742, 267, 543, 910, 3393, 780, 268, 276, 4559, 519, 1101, 8095, 269, 7591, 476, 274, 4559, 829, 5595, 8265, 780, 299, 846, 1586, 269, 910, 736, 4559, 270, 274, 533, 3315, 476, 278, 4559, 829, 5595, 8265, 780, 331, 846, 910, 4649, 4559, 270, 275, 1404, 476, 1691, 796, 626, 829, 5595, 8265, 780, 331, 846, 910, 3583, 4559, 269, 910, 10219, 270, 276, 1404, 476, 1839, 4559, 829, 5595, 8265, 692, 331, 846, 910, 10219, 4559, 269, 2698, 4503, 1310, 476, 276, 914, 338, 910, 276, 910, 736, 910, 4649, 910, 3583, 910, 10219, 2698, 540, 910, 22550, 269, 2334, 2965, 568, 660, 262, 1932, 3983, 269, 589, 1434, 3364, 585, 713, 2856, 568, 602, 596, 952, 596, 7237, 513, 3094, 3094, 2530, 1273, 614, 267, 596, 1131, 2965, 22919, 4559, 543, 723, 873, 782, 1394, 538, 1100, 942, 693, 782, 269, 901, 568, 1732, 982, 910, 4281, 272, 4559, 4503, 593, 513, 1792, 752, 540, 476, 276, 1996, 596, 780, 296, 666, 1405, 3314, 519, 1062, 267, 1775, 1589, 621, 729, 1572, 519, 6380, 652, 13193, 30592, 1505, 610, 1945, 267, 855, 1775, 3494, 6148, 519, 2081, 594, 6700, 585, 4871, 2651, 2126, 1131, 581, 513, 1434, 7156, 269, 1411, 1223, 1256, 9772, 811, 982, 835, 2856, 883, 621, 780, 299, 1115, 2161, 596, 616, 4730, 543, 596, 616, 10888, 267, 1287, 519, 1404, 547, 9772, 1131, 581, 6148, 519, 1315, 26421, 2530, 1341, 2530, 610, 6148, 519, 1315, 273, 7887, 547, 10545, 6296, 269, 1403, 596, 5734, 513, 11315, 15429, 267, 1310, 476, 273, 9271, 610, 1945, 267, 1287, 6467, 2409, 547, 519, 811, 15061, 1935, 3478, 7759, 540, 4130, 914, 338, 11489, 513, 1792, 752, 4386, 780, 1607, 849, 5012, 883, 513, 1062, 594, 899, 1360, 1454, 1572, 19264, 2313, 6366, 588, 1136, 1544, 269, 1403, 513, 1792, 752, 1281, 2097, 1996, 596, 267, 1287, 596, 666, 1404, 621, 585, 782, 922, 4502, 269, 19264, 2313, 568, 602, 2186, 540, 1062, 267, 621, 3649, 1080, 585, 513, 1792, 752, 267, 1287, 1175, 986, 7719, 538, 519, 14859, 269, 634, 2724, 2359, 3297, 621, 568, 9425, 1434, 689, 1250, 21169, 267, 621, 7444, 14380, 607, 519, 12918, 979, 1996, 596, 267, 855, 950, 519, 12918, 14736, 538, 543, 596, 5734, 513, 1792, 752, 540, 513, 5595, 8265, 18644, 476, 276, 268, 277, 2053, 630, 7224, 13394, 583, 1947, 267, 855, 6148, 1369, 476, 272, 910, 476, 273, 1256, 476, 274, 30809, 267, 621, 1175, 4991, 782, 1346, 9271, 1394, 3533, 543, 3762, 596, 6148, 513, 2370, 2110, 267, 855, 689, 1034, 540, 1250, 2833, 609, 513, 1906, 12434, 267, 952, 594, 723, 12434, 1498, 594, 786, 2901, 2119 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 2454, 19672, 4457, 11470, 267, 2622, 9085, 454, 1432, 568, 513, 1469, 286, 1215, 568, 621, 1114, 689, 1535, 6359, 773, 267, 922, 4457, 11218, 286, 1772, 834, 15105, 585, 519, 3877, 257, 21739, 1114, 689, 834, 15105, 585, 519, 4729, 22172, 9894, 1535, 6359, 773, 1535, 807, 9655, 340, 334, 267, 519, 4457, 3209, 540, 3877, 267, 2285, 519, 1158, 922, 9998, 1106, 540, 2413, 5708, 286, 27837, 676, 2090, 540, 5075, 543, 29678, 607, 1134, 607, 21576, 267, 713, 1433, 575, 30769, 856, 593, 519, 3677, 1158, 998, 519, 1507, 27934, 540, 519, 1469, 267, 10223, 875, 6405, 5339, 1295, 583, 23706, 1831, 834, 8346, 257, 607, 789, 7866, 519, 6384, 540, 7487, 543, 6217, 267, 519, 21513, 540, 519, 2247, 267, 519, 6988, 540, 519, 4948, 267, 543, 519, 16122, 547, 5431, 519, 8792, 267, 519, 18803, 267, 543, 519, 6456, 269, 769, 513, 8833, 540, 25704, 540, 1535, 6359, 773, 1535, 807, 9655, 340, 334, 267, 971, 3877, 1404, 513, 1883, 1909, 538, 9187, 7627, 519, 3209, 689, 1705, 716, 6291, 2509, 513, 3692, 1190, 2413, 1106, 563, 2750, 600, 1456, 519, 4457, 1469, 607, 1312, 513, 1455, 18986, 558, 543, 513, 2189, 1523, 267, 543, 970, 1905, 565, 908, 621, 689, 1367, 1568, 547, 519, 2528, 693, 1804, 267, 8761, 3768, 324, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23210, 13507, 626, 11873, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 5333, 1315, 4937, 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, 7170, 281, 19731, 13734, 543, 17030, 29179, 538, 519, 2136, 5783, 540, 2441, 692, 7072, 912, 5970, 596, 2479, 2219, 827, 1018, 621, 1797, 547, 581, 513, 1434, 12403, 731, 286, 3143, 267, 649, 2811, 711, 6158, 827, 2921, 1416, 540, 707, 1920, 4620, 256, 589, 12403, 731, 568, 2576, 945, 3217, 1416, 540, 1945, 3407, 602, 12851, 547, 2576, 3116, 269, 1306, 10271, 538, 519, 2136, 5783, 540, 2441, 630, 308, 6717, 1070, 649, 3494, 602, 3388, 649, 723, 2501, 689, 2696, 1107, 938, 15421, 267, 938, 2200, 267, 1256, 938, 1360, 2729, 256, 2334, 2306, 721, 12403, 1841, 540, 782, 891, 13344, 269, 1924, 267, 1577, 781, 1451, 827, 1373, 3743, 12403, 1841, 998, 19642, 543, 5692, 4758, 2439, 8139, 19731, 13734, 912, 5331, 952, 707, 3237, 5795, 596, 741, 16335, 547, 946, 585, 513, 1554, 269, 1411, 9327, 1405, 1832, 621, 19526, 909, 538, 513, 2721, 518, 282, 3079, 267, 596, 9364, 1491, 1434, 1416, 540, 621, 1317, 621, 6927, 547, 873, 269, 6684, 267, 950, 649, 2259, 19642, 267, 649, 1174, 602, 1169, 13007, 543, 4199, 649, 4865, 6038, 4866, 547, 2696, 269, 1284, 1397, 14696, 585, 891, 25736, 676, 1210, 873, 20617, 543, 4687, 873, 609, 1866, 269, 1635, 3257, 865, 267, 649, 948, 1628, 2696, 781, 10806, 1934, 593, 3047, 780, 1432, 1772, 17030, 29179, 888, 300, 2153, 4758, 568, 835, 1259, 649, 666, 2671, 519, 13344, 2696, 814, 2016, 721, 269, 898, 3322, 1810, 908, 2724, 267, 942, 267, 610, 1983, 547, 1489, 519, 960, 540, 13039, 899, 23600, 543, 824, 3906, 602, 3262, 2648, 267, 11587, 267, 543, 14619, 2429, 519, 1158, 269, 772, 6717, 7028, 1082, 13485, 267, 971, 607, 8165, 6710, 267, 5009, 4708, 267, 543, 7863, 519, 1604, 269, 1879, 649, 3565, 547, 891, 3646, 267, 649, 1831, 4891, 609, 2696, 538, 1818, 713, 1158, 513, 1732, 1747, 2439, 3963, 9701, 1284, 6657, 19731, 13734, 543, 17030, 29179, 888, 4131, 781, 1589, 1394, 547, 3504, 2053, 950, 1004, 5156, 602, 10971, 6417, 2470, 543, 1480, 1272, 269, 1358, 6035, 24279, 543, 19001, 547, 5225, 1346, 10971, 543, 3343, 4027, 269, 4653, 267, 649, 917, 602, 972, 568, 1152, 835, 3020, 2696, 945, 14560, 543, 30128, 585, 3025, 8449, 269, 3776, 1909, 568, 1100, 3476, 1175, 547, 4300, 848, 855, 547, 4196, 2696, 676, 7674, 1866, 269, 28552, 19642, 543, 5692, 4758, 2636, 721, 547, 1246, 4906, 262, 10752, 543, 2322, 938, 5132, 883, 2962, 780, 1692, 2052, 5664, 3427, 4841, 2142, 6153, 19731, 1841, 888, 2026, 1647, 30595, 267, 596, 949, 4898, 875, 596, 666, 1118, 513, 3017, 269, 4270, 267, 3314, 602, 1022, 957, 540, 11587, 12523, 256, 3371, 616, 930, 2081, 596, 666, 1376, 8026, 19642, 1318, 1631, 1384, 272, 269, 9523, 707, 1919, 281, 20644, 707, 9162, 267, 2835, 267, 610, 7727, 1252, 3585, 547, 15032, 1282, 12424, 610, 1353, 3108, 269, 901, 2241, 957, 11414, 596, 547, 1871, 543, 2671, 707, 22590, 563, 273, 269, 21816, 17621, 281, 12315, 707, 942, 547, 2199, 2146, 3785, 267, 8808, 5321, 267, 3662, 24181, 267, 610, 1426, 8492, 269, 29955, 856, 2982, 2463, 543, 8296, 2509, 1866, 563, 274, 269, 14780, 1047, 4656, 281, 2422, 19297, 267, 7044, 267, 610, 7391, 547, 13599, 2828, 827, 2152, 7133, 707, 2146, 267, 899, 26683, 267, 5533, 267, 610, 11648, 269, 19457, 1344, 2337, 1711, 2318, 1689, 563, 275, 269, 16440, 543, 2285, 281, 5590, 11735, 513, 6712, 540, 707, 27108, 610, 15271, 4481, 585, 26988, 5301, 269, 5463, 4575, 1927, 607, 513, 1920, 1141, 547, 24946, 786, 7794, 707, 6125, 543, 8300, 18507, 12271, 563, 276, 269, 21813, 281, 13185, 547, 2696, 3232, 267, 11589, 9684, 6888, 585, 782, 519, 8748, 1919, 1472, 596, 1247, 6998, 13924, 547, 3391, 707, 3527, 269, 3414, 11755, 267, 596, 1930, 3054, 909, 547, 3571, 7326, 543, 11419, 780, 6962, 912, 3528, 1620, 19642, 543, 5692, 4758, 267, 596, 1404, 1898, 5107, 607, 20785, 540, 4906, 1369, 519, 772, 6717, 2146, 269, 22737, 707, 5539, 607, 1416, 339, 5474, 540, 2696, 781, 13144, 543, 2671, 707, 13344, 2898, 27329, 569, 269, 8625, 267, 1577, 781, 3136, 2679, 2696, 781, 15962, 543, 1175, 2486, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12892, 268, 3286, 823, 3123, 616, 519, 14039, 1214, 540, 938, 942, 269, 1809, 1058, 789, 581, 519, 2295, 540, 519, 5939, 779, 5692, 888, 2467, 616, 693, 2547, 5722, 9465, 602, 2061, 519, 5786, 540, 519, 22258, 547, 6214, 269, 1496, 1607, 568, 606, 9542, 17609, 513, 1906, 540, 519, 5722, 9465, 13890, 676, 4460, 20917, 525, 538, 1010, 1433, 267, 4521, 543, 20227, 538, 11059, 24358, 2171, 5213, 1406, 14970, 538, 19978, 8648, 454, 5575, 267, 519, 2797, 2796, 540, 2221, 779, 18129, 547, 3035, 1514, 9698, 568, 3274, 711, 519, 1482, 607, 602, 540, 519, 13400, 28556, 269, 9147, 5840, 10924, 602, 4984, 543, 6214, 610, 5939, 543, 1533, 941, 835, 269, 769, 1249, 267, 585, 519, 1261, 3691, 9749, 267, 1381, 543, 15438, 1222, 1419, 5249, 538, 512, 30802, 269, 11330, 515, 1206, 540, 586, 648, 2479, 8179, 602, 1312, 1381, 543, 2528, 1131, 581, 10121, 547, 519, 26315, 543, 711, 581, 10057, 676, 2901, 31561, 520, 787, 610, 6528, 640, 563, 3719, 875, 1281, 602, 6161, 267, 1271, 607, 621, 568, 267, 14377, 883, 2413, 267, 12683, 2065, 3013, 267, 1141, 621, 568, 711, 2141, 2312, 4171, 5126, 543, 799, 7787, 640, 1058, 7173, 841, 286, 2290, 1131, 991, 513, 811, 1950, 4661, 982, 513, 536, 7441, 1227, 1423, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17556, 2072, 1222, 543, 17030, 29179, 257, 607, 851, 540, 834, 32628, 1315, 8567, 1315, 2136, 5783, 540, 2441, 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, 2026, 596, 2263, 707, 1007, 10450, 267, 649, 1616, 547, 6338, 596, 547, 835, 540, 8103, 781, 1034, 3078, 2833, 281, 15246, 513, 18388, 518, 581, 831, 538, 14912, 2439, 288, 18388, 518, 581, 831, 568, 950, 513, 6345, 8464, 513, 11127, 693, 519, 3169, 4090, 519, 3014, 9219, 1163, 2231, 267, 17516, 741, 2319, 781, 11802, 269, 898, 781, 606, 18546, 4328, 4743, 602, 786, 4734, 596, 630, 663, 3025, 1472, 596, 264, 17259, 609, 7772, 256, 769, 713, 3102, 3391, 267, 649, 3513, 3802, 596, 998, 1169, 1900, 2556, 547, 3035, 713, 13858, 9028, 780, 1262, 3721, 476, 272, 281, 13760, 31336, 4252, 17943, 4373, 6524, 11362, 883, 519, 2962, 267, 1577, 781, 3382, 930, 1898, 9238, 1384, 265, 2878, 289, 21488, 4252, 4995, 589, 7328, 5129, 676, 1079, 6887, 540, 2947, 5716, 1142, 267, 17935, 547, 6060, 2798, 676, 18530, 513, 3440, 998, 513, 11876, 641, 563, 265, 2878, 290, 22620, 4995, 634, 14328, 1858, 1141, 519, 3014, 3217, 1747, 267, 10023, 513, 11876, 641, 630, 21406, 513, 11127, 264, 693, 1142, 1439, 563, 265, 2878, 30761, 4995, 17214, 540, 16463, 610, 10991, 2326, 267, 621, 781, 536, 6407, 267, 16207, 267, 543, 9575, 1282, 29863, 563, 265, 2878, 5522, 16558, 4995, 18972, 10283, 538, 519, 3014, 267, 5258, 883, 25213, 630, 339, 11538, 547, 6060, 264, 543, 8878, 630, 2181, 28124, 17837, 689, 18176, 6393, 3086, 267, 4952, 3054, 7555, 593, 519, 5480, 13718, 1262, 3721, 476, 273, 281, 5192, 19361, 609, 2659, 10610, 4373, 2026, 513, 30226, 518, 547, 938, 4541, 267, 596, 1522, 991, 948, 1620, 875, 3425, 1847, 543, 2170, 9308, 269, 5213, 1405, 5855, 282, 649, 4312, 3893, 596, 4988, 2439, 265, 2878, 310, 22736, 4995, 8844, 707, 7953, 4464, 267, 5329, 707, 19704, 5594, 18761, 267, 547, 29906, 519, 5480, 269, 8347, 2921, 1507, 3268, 547, 2226, 3666, 563, 265, 2878, 305, 7342, 4995, 21561, 707, 10605, 676, 561, 1263, 28517, 707, 26058, 269, 5901, 707, 7916, 17159, 267, 23028, 873, 9900, 607, 596, 979, 563, 265, 2878, 297, 18804, 4995, 645, 754, 707, 19704, 267, 1287, 14885, 1947, 8831, 873, 547, 4412, 601, 3054, 16057, 269, 8092, 28663, 593, 1312, 3952, 267, 21716, 519, 1764, 563, 265, 2878, 21652, 31378, 11558, 4995, 10312, 593, 9477, 519, 3440, 609, 707, 4064, 1247, 1210, 707, 3946, 547, 6952, 267, 12235, 267, 543, 1852, 922, 3350, 780, 20797, 891, 4909, 5322, 547, 1205, 6899, 609, 707, 1560, 269, 1411, 666, 1256, 2119, 536, 23395, 513, 3440, 547, 1020, 1688, 31378, 11558, 2439, 1262, 3721, 476, 274, 281, 6258, 9978, 11831, 30047, 10341, 4373, 22913, 532, 2241, 3440, 11804, 1782, 2553, 786, 948, 596, 6330, 519, 5480, 18390, 1384, 265, 2878, 291, 1026, 17331, 4995, 15579, 519, 3440, 609, 707, 31840, 267, 5329, 707, 1714, 28647, 5594, 18761, 269, 2422, 707, 21015, 543, 2062, 1301, 547, 25483, 519, 3440, 593, 519, 6989, 267, 20367, 1063, 2451, 543, 1318, 3946, 563, 265, 2878, 290, 10248, 4995, 6987, 754, 707, 7916, 267, 27374, 6849, 20733, 267, 547, 4309, 10596, 610, 6450, 2432, 269, 1924, 19924, 707, 17945, 2390, 20414, 519, 3440, 547, 10110, 922, 11610, 563, 265, 2878, 1320, 8089, 4995, 717, 8692, 519, 3440, 16119, 855, 711, 1932, 17401, 267, 609, 707, 8789, 1688, 896, 519, 3440, 543, 1875, 1673, 11395, 1688, 13057, 621, 269, 24793, 519, 3440, 609, 513, 9543, 26882, 540, 707, 21015, 267, 1739, 998, 609, 707, 6186, 780, 8855, 547, 1376, 3500, 543, 7930, 2333, 3432, 543, 6988, 607, 596, 1831, 811, 8746, 780, 1262, 3721, 476, 275, 281, 3763, 1744, 17415, 9828, 4373, 4537, 17415, 568, 2629, 585, 18176, 1346, 10475, 2798, 256, 3371, 616, 1883, 3344, 547, 1445, 593, 1384, 265, 2878, 1805, 766, 4995, 5776, 20354, 609, 707, 3952, 13105, 2914, 5954, 6306, 267, 2597, 14961, 7856, 1063, 1312, 7953, 269, 590, 2775, 569, 18846, 707, 19704, 267, 5329, 707, 1394, 2786, 543, 4295, 7722, 563, 265, 2878 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4120, 263, 7407, 994, 2018, 1948, 2745, 31114, 994, 825, 23288, 825, 1219, 3247, 300, 19318, 4311, 2187, 1038, 1582, 6230, 19318, 6944, 1503, 14714, 641, 300, 19318, 4590, 1363, 692, 825, 1219, 4464, 300, 19318, 4311, 267, 1871, 815, 476, 271, 2187, 1038, 1582, 6230, 19318, 6944, 1503, 269, 3453, 300, 19318, 263, 7407, 9239, 825, 1219, 18807, 300, 19318, 4311, 267, 1871, 815, 476, 271, 2187, 1038, 1582, 6230, 19318, 6944, 1503, 269, 3724, 1189, 300, 19318, 263, 7407, 9239, 825, 1219, 2196, 4311, 2187, 1038, 2119, 912, 2018, 1247, 263, 12148, 2187, 3546, 1948, 7476, 6206, 4580, 3403, 689, 519, 3593, 454, 3546, 1582, 269, 12528, 19152, 815, 3403, 4590, 3546, 1948, 12218, 1518, 519, 3403, 543, 2196, 454, 3546, 1582, 18994, 529, 27165, 11328, 4533, 815, 2494, 3241, 300, 1712, 269, 6358, 12218, 8595, 4311, 267, 1345, 269, 12528, 19152, 994, 3546, 952, 4311, 18994, 27165, 11328, 4533, 2187, 7386, 1948, 2750, 527, 689, 812, 3241, 7154, 454, 7386, 2132, 6936, 454, 1038, 4849, 1401, 4003, 912, 2018, 1780, 22562, 825, 1219, 3403, 12218, 8595, 4311, 267, 6358, 2187, 1038, 23288, 1038, 4340, 547, 13691, 3403, 267, 7222, 5179, 543, 1425, 334, 1852, 568, 8045, 563, 1038, 23288, 1038, 952, 9272, 2525, 257, 324, 257, 2567, 672, 1948, 2750, 527, 4971, 454, 2018, 2132, 6936, 454, 1038, 8640, 9272, 2525, 257, 342, 257, 2567, 11434, 1948, 2690, 1189, 4971, 454, 2018, 952, 4311, 269, 12860, 27045, 1911, 2187, 3546, 1582, 269, 12860, 815, 1582, 269, 12860, 266, 1015, 454, 3546, 3207, 263, 271, 269, 274, 994, 2018, 1582, 6230, 19318, 6944, 1503, 269, 3453, 300, 19318, 4311, 269, 12860, 994, 2018, 2132, 8771, 454, 1038, 8640, 9272, 2525, 257, 320, 257, 2567, 11434, 1948, 29381, 4971, 454, 2018, 952, 4311, 269, 4120, 27045, 5611, 2187, 3546, 1582, 269, 4120, 815, 1582, 269, 4120, 266, 1015, 454, 3546, 3207, 263, 271, 269, 274, 994, 2018, 1582, 4732, 969, 334, 6944, 1503, 269, 4120, 4311, 269, 4120, 994, 2018, 2132, 8771, 454, 1038, 8640, 9272, 2525, 257, 338, 257, 2567, 11434, 1948, 12988, 1189, 4971, 454, 2018, 952, 4311, 269, 12860, 285, 284, 1015, 2187, 3546, 1582, 269, 12860, 815, 1582, 269, 12860, 268, 1015, 454, 3546, 3207, 263, 271, 269, 274, 994, 2018, 1582, 6230, 19318, 6944, 1503, 4311, 269, 12860, 994, 2018, 2132, 8771, 454, 1038, 8640, 9272, 2525, 257, 323, 257, 2567, 11434, 1948, 14738, 4971, 454, 2018, 952, 4311, 269, 4120, 285, 284, 2004, 2187, 3546, 1582, 269, 4120, 815, 1582, 269, 4120, 266, 1015, 454, 3546, 3207, 263, 271, 269, 274, 994, 2018, 1582, 4732, 969, 334, 6944, 1503, 269, 4120, 4311, 269, 4120, 994, 2018, 2132, 8771, 454, 1038, 8640, 9272, 2525, 257, 834, 2567, 11434, 1948, 1805, 641, 4971, 454, 2018, 1582, 6230, 19318, 6944, 1503, 14714, 641, 300, 19318, 263, 12860, 994, 2018, 3207, 263, 271, 269, 274, 994, 2018, 2132, 8771, 692, 8931, 0, 258, 5487, 7796, 320, 522, 10518, 1965, 2063, 3403, 1101, 3977, 454, 258, 11188, 21915, 334, 7903, 586, 1402, 5067, 2343, 2297, 513, 546, 604, 7967, 25556, 632, 3288, 2051, 320, 692, 5035, 7796, 320, 8266, 320, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 6230, 760, 10042, 284, 4289, 4590, 8931, 825, 1219, 23984, 8457, 4311, 2187, 1038, 2132, 7003, 4311, 6230, 760, 10042, 2020, 825, 1219, 7477, 807, 4311, 2187, 1038, 2132, 630, 6352, 4311, 6230, 760, 10042, 2525, 271, 4917, 8931, 825, 1219, 3284, 1791, 4311, 267, 7407, 2187, 1038, 1582, 6230, 760, 10042, 6910, 263, 7407, 2020, 825, 1219, 964, 777, 1791, 4311, 2187, 1038, 1582, 6230, 760, 10042, 21014, 10797, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 12055, 4311, 6230, 760, 10042, 2020, 335, 10042, 284, 335, 10042, 8266, 320, 4590, 301, 284, 2004, 454, 6112, 18217, 285, 271, 2187, 825, 1948, 935, 951, 528, 3490, 476, 1015, 513, 3490, 476, 273, 454, 825, 7796, 320, 269, 777, 1791, 17301, 18217, 260, 273, 4917, 825, 715, 25507, 18217, 270, 273, 2020, 2745, 9638, 10042, 6230, 760, 10042, 994, 335, 10042, 6155, 525, 777, 1791, 4590, 2745, 9638, 10042, 6230, 760, 10042, 264, 0, 5814, 11885, 607, 5286, 454, 5814, 4351, 454, 5814, 942, 454, 5814, 21267, 28272, 607, 12301, 454, 258, 652, 320, 1965, 19448, 4528, 5187, 881, 3385, 1666, 3385, 679, 575, 2465, 802, 585, 3009, 586, 1714, 5391, 549, 454, 258, 1965, 11792, 1850, 1043, 586, 1303, 754, 1043, 692, 5035, 19467, 31374, 912, 825, 1219, 4990, 4311, 267, 1551, 2187, 1038, 952, 12759, 19906, 264, 285, 272, 2187, 2018, 4571, 284, 6352, 19906, 264, 2260, 273, 1948, 1766, 11456, 12262, 547, 2742, 21088, 3288, 851, 324, 4283, 320, 454, 2018, 2451, 6635, 337, 284, 1551, 11468, 13232, 2639, 2018, 1318, 6635, 337, 284, 1551, 314, 13232, 281, 2639, 2018, 1582, 31699, 263, 3847, 6635, 337, 994, 2018, 1582, 31699, 263, 2431, 6635, 337, 994, 27030, 2018, 1775, 284, 271, 454, 2018, 795, 284, 271, 454, 2018, 737, 284, 271, 476, 1948, 16948, 1714, 818, 2958, 5979, 3803, 454, 2018, 1247, 630, 328, 283, 6352, 263, 3847, 6635, 337, 264, 543, 795, 283, 6352, 263, 2431, 6635, 337, 15892, 3546, 952, 263, 3847, 6635, 337, 5157, 316, 283, 2431, 6635, 337, 14728, 316, 2187, 7386, 2855, 25208, 24557, 3847, 6635, 337, 5157, 2639, 7386, 1775, 23785, 272, 454, 3546, 3116, 912, 7386, 2855, 25208, 24557, 2431, 6635, 337, 14728, 2639, 7386, 795, 23785, 272, 454, 3546, 737, 23785, 272, 454, 2018, 1948, 1820, 2891, 6359, 330, 24333, 328, 25814, 267, 330, 994, 2018, 1247, 9217, 283, 6352, 263, 3847, 6635, 337, 15892, 3546, 2855, 25208, 24557, 3847, 6635, 337, 5157, 2639, 3546, 1775, 23785, 272, 454, 3546, 737, 23785, 272, 454, 2018, 1247, 27203, 283, 6352, 263, 2431, 6635, 337, 15892, 3546, 2855, 25208, 24557, 2431, 6635, 337, 14728, 2639, 3546, 795, 23785, 272, 454, 3546, 737, 23785, 272, 454, 301, 284, 1911, 876, 454, 1440, 326, 284, 1067, 613, 31374, 4590, 6358, 284, 12639, 20179, 27110, 263, 271, 267, 1911, 271, 267, 301, 994, 2745, 12759, 9272, 4917, 2745, 9272, 994, 6358, 284, 4289, 9272, 269, 29788, 1084, 15405, 11034, 22710, 284, 5503, 28333, 4590, 1440, 326, 31699, 9272, 994, 2745, 2891, 1067, 613, 31374, 26905, 4939, 338, 7643, 26905, 257, 4939, 630, 5503, 28333, 3890, 910, 1376, 22710, 4917, 2745, 18828, 15126, 9272, 4917, 258, 476, 271, 269, 6812, 338, 715, 284, 1911, 269, 1822, 825, 454, 258, 476, 277, 269, 276, 338, 715, 284, 272, 269, 1822, 269, 1822, 825, 454, 258, 476, 3445, 269, 271, 338, 715, 284, 1015, 269, 1822, 269, 1822, 3097, 258, 476, 11820, 271, 269, 280, 338, 715, 284, 1911, 269, 1822, 269, 1822, 0, 258, 1530, 735, 821, 632, 13121, 804, 1162, 267, 3288, 2215, 5028, 683, 806, 7534, 17485, 14622, 17485, 8728, 586, 796, 9126, 454, 258, 3288, 10240, 21542, 1965, 19448, 897, 320, 829, 334, 5609, 3288, 1064, 756, 559, 21059, 632, 1121, 1478, 586, 694, 7696, 320, 679, 524, 3266, 454, 5035, 9126, 8266, 320, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 12500, 698, 284, 4289, 4590, 8931, 825, 1219, 989, 2958, 541, 2005, 655, 4311, 267, 14403, 2187, 1038, 1582, 12500, 698, 27044, 263, 271, 267, 14403, 2020, 825, 1219, 23984, 8457, 4311, 2187, 1038, 2132, 7003, 4311, 12500, 698, 2020, 825, 1219, 7477, 807, 4311, 2187, 1038, 2132, 630, 1345, 6745, 600, 8457, 3890, 2525, 271, 994, 825, 1948, 12055, 11456, 2688, 1642, 1073, 329, 16587, 9126, 454, 825, 1219, 6449, 3438, 9191, 1345, 2187, 1038, 2132, 12055, 4311, 12500, 698, 994, 8931, 5035, 8641, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 341, 267, 324, 2187, 1038, 2706, 14061, 1029, 8181, 1029, 4590, 1038, 1582, 9950, 284, 324, 454, 1038, 1582, 17679, 284, 341, 454, 1038, 1582, 269, 29951, 284, 4289, 4590, 1038, 585, 1775, 538, 2039, 263, 271, 267, 341, 2187, 2018, 1582, 269, 29951, 6910, 6357, 698, 8266, 320, 31156, 825, 1219, 661, 4311, 2187, 1038, 2132, 1582, 9950, 692, 825, 1219, 966, 4311, 2187, 1038, 2132, 1582, 17679, 22562, 825, 1219, 1039, 10955, 613, 4311, 267, 341, 267, 342, 2187, 1038, 1582, 269, 29951, 314, 341, 4940, 698, 2958, 541, 2005, 655, 26028, 994, 1038, 1582, 269, 29951, 314, 342, 4940, 698, 2958, 541, 2005, 655, 17635, 2020, 825, 1219, 1205, 3849, 329, 4311, 267, 341, 2187, 1038, 2132, 1582, 269, 29951, 314, 341, 6540, 825, 1219, 547, 21803, 4311, 2187, 1038, 521, 284, 1598, 4311, 17679, 264, 1341, 257, 14622, 267, 834, 266, 1598, 4311, 9950, 11924, 257, 8728, 14826, 4840, 1038, 585, 1775, 538, 2039, 263, 271, 267, 1345, 17679, 2187, 2018, 521, 23785, 1598, 9217, 11924, 9899, 27029, 2018, 585, 795, 538, 1582, 10947, 3849, 329, 9217, 2187, 3546, 521, 23785, 1598, 27203, 11924, 257, 27029, 2018, 521, 266, 6889, 315, 333, 4840, 1038, 2132, 521, 454, 17264, 7531, 258, 3758, 272, 284, 13449, 2891, 339, 4176, 294, 17902, 14824, 337, 5602, 12803, 272, 284, 13449, 2891, 4364, 1756, 294, 17902, 14824, 337, 5602, 6050, 284, 12803, 272, 18667, 6050, 4590, 341, 25507, 263, 6050, 21014, 263, 271, 4917, 324, 25507, 263, 6050, 21014, 263, 271, 4917, 1440, 326, 284, 20877, 17635, 267, 324, 994, 2745, 12759, 263, 6050, 1070, 929, 326, 17679, 267, 1440, 326, 9950, 994, 1721, 1899, 538, 3515, 912, 825, 1948, 1820, 263, 1467, 21858, 15405, 825, 10917, 284, 1467, 21858, 4590, 825, 929, 326, 14491, 10955, 613, 17301, 6025, 11391, 314, 271, 25818, 842, 6025, 11391, 314, 272, 8079, 2020, 2745, 263, 1440, 326, 30419, 21803, 15405, 258, 1982, 320, 284, 321, 698, 8266, 320, 4590, 258, 1820, 263, 32491, 320, 6745, 600, 8457, 19572, 1982, 320, 18192, 29716, 15405, 258, 585, 1775, 538, 2039, 263, 272, 267, 276, 2187, 258, 672, 1982, 320, 269, 698, 2958, 541, 2005, 655, 9217, 994, 258, 1820, 263, 32491, 320, 6745, 600, 8457, 19572, 1982, 320, 18192, 29716, 15405, 258, 1596, 539, 1470, 284, 271, 454, 258, 715, 284, 32491, 320, 6745, 600, 8457, 4590, 258, 585, 6221, 538, 1982, 320, 912, 258, 672, 1820, 263, 14403, 994, 258, 672, 1596, 539, 1470, 23785, 14403, 454, 258, 1820, 2891, 332, 4215, 15079, 2668, 8971, 9638, 668, 539, 1470, 21610, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4287, 540, 922, 3350, 998, 513, 6419, 2361, 269, 10414, 568, 20922, 676, 674, 3090, 780, 1692, 547, 5173, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 1210, 713, 2228, 9498, 286, 1677, 946, 713, 2228, 9498, 585, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 267, 4283, 932, 1618, 20653, 6290, 630, 340, 1070, 25080, 12071, 343, 25670, 630, 289, 264, 1299, 24234, 1063, 966, 26662, 630, 15184, 264, 543, 5734, 519, 5173, 7735, 269, 3371, 568, 875, 519, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 9819, 666, 581, 6045, 609, 2016, 3403, 2418, 9847, 476, 280, 269, 272, 292, 268, 1428, 815, 1496, 2419, 1618, 3887, 30297, 28883, 1822, 271, 265, 271, 269, 25171, 16732, 7562, 263, 271, 269, 4281, 276, 4375, 279, 14321, 4375, 278, 22145, 4297, 780, 2162, 14174, 304, 692, 1432, 568, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 888, 763, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 4542, 568, 3989, 607, 519, 3196, 9117, 593, 513, 5279, 13902, 547, 519, 4287, 540, 922, 3350, 998, 513, 6419, 2361, 543, 568, 6719, 607, 674, 815, 1496, 2419, 1618, 3887, 30297, 340, 265, 289, 16732, 7562, 263, 15184, 4297, 610, 10414, 815, 1496, 2419, 1618, 3887, 30297, 2419, 1618, 20653, 6290, 265, 300, 8568, 12071, 343, 25670, 16732, 7562, 10490, 978, 548, 1063, 966, 26662, 26895, 932, 1618, 20653, 6290, 568, 3989, 607, 519, 3432, 609, 799, 5279, 1743, 22284, 538, 513, 18364, 267, 25080, 12071, 343, 25670, 568, 2179, 540, 6419, 13441, 998, 1770, 1858, 3144, 13902, 547, 4287, 540, 6419, 13441, 1299, 24234, 1063, 966, 26662, 568, 3989, 607, 519, 5086, 1500, 676, 519, 1079, 10321, 593, 513, 1079, 5123, 7077, 609, 2463, 547, 519, 4287, 540, 3350, 540, 1142, 824, 563, 1692, 547, 5173, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 888, 763, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 4542, 568, 3989, 607, 519, 3196, 9117, 593, 513, 5279, 13902, 547, 519, 4287, 540, 922, 3350, 998, 513, 6419, 2361, 568, 7229, 1210, 10414, 815, 1496, 2419, 1618, 3887, 30297, 2419, 1618, 20653, 6290, 265, 300, 8568, 12071, 343, 25670, 16732, 7562, 10490, 978, 548, 1063, 966, 26662, 26895, 1677, 5173, 17086, 593, 932, 1173, 525, 25021, 538, 25080, 29425, 267, 596, 991, 932, 1618, 20653, 6290, 630, 340, 1070, 25080, 12071, 343, 25670, 630, 289, 264, 1299, 24234, 1063, 966, 26662, 630, 15184, 1040, 2060, 938, 1907, 267, 596, 991, 547, 4283, 519, 9757, 1871, 585, 932, 1618, 20653, 6290, 267, 25080, 12071, 343, 25670, 1299, 24234, 1063, 966, 26662, 543, 5734, 519, 5173, 7735, 269, 1411, 666, 849, 2824, 519, 4559, 630, 604, 1022, 264, 585, 18452, 4433, 264, 543, 519, 19243, 607, 1134, 563, 1692, 1082, 2081, 616, 972, 547, 5173, 10414, 888, 1103, 713, 4542, 267, 10414, 3096, 932, 1618, 20653, 6290, 267, 25080, 12071, 343, 25670, 1299, 24234, 1063, 966, 26662, 269, 1284, 666, 946, 476, 272, 824, 1259, 4433, 264, 547, 5173, 519, 1482, 267, 799, 568, 270, 732, 607, 5205, 20620, 1892, 10414, 815, 25080, 12071, 343, 25670, 265, 14483, 265, 21920, 540, 18430, 528, 265, 7562, 10490, 978, 548, 1063, 966, 26662, 994, 4131, 11524, 5700, 0, 258, 17992, 725, 6096, 16387, 692, 11754, 773, 715, 11535, 5988, 476, 2767, 267, 476, 1708, 272, 3211, 692, 763, 1453, 1058, 2648, 547, 798, 519, 3211, 282, 789, 1058, 711, 581, 19876, 2390, 873, 269, 4746, 3257, 1152, 3211, 4805, 14578, 1131, 711, 581, 1360, 11327, 269, 1411, 1058, 723, 513, 2039, 540, 2168, 3756, 543, 2238, 607, 1134, 602, 1131, 12927, 519, 2035, 19927, 269, 3371, 616, 513, 1906, 2093, 585, 971, 2238, 281, 634, 9904, 5152, 281, 901, 3788, 513, 17681, 1259, 547, 26821, 519, 9904, 269, 7327, 621, 7444, 543, 2206, 621, 1419, 269, 1403, 596, 723, 513, 1804, 9904, 5750, 543, 1448, 856, 547, 1142, 4484, 1247, 596, 2206, 267, 621, 786, 581, 540, 1390, 1871, 269, 1411, 666, 2285, 782, 1453, 4484, 6486, 538, 1931, 630, 531, 8224, 15460, 5148, 789, 666, 3180, 909, 1142, 4484, 607, 621, 568, 23475, 269, 8058, 513, 12139, 610, 4605, 1433, 547, 1453, 269, 9105, 873, 547, 2697, 782, 8320, 540, 519, 2016, 4484, 538, 1022, 2985, 269, 7435, 856, 4484, 6486, 547, 782, 1453, 269, 11910, 856, 513, 4484, 269, 634, 1126, 609, 602, 3556, 814, 547, 2097, 538, 4395, 540, 519, 1362, 543, 4159, 519, 4484, 269, 19147, 519, 1362, 883, 1079, 2516, 269, 12315, 835, 1895, 4484, 6486, 269, 12315, 824, 1895, 1585, 3615, 269, 634, 1101, 1895, 786, 3180, 909, 513, 4484, 269, 634, 2034, 1895, 1058, 3180, 909, 606, 1843, 602, 6238, 609, 602, 4484, 269, 7316, 666, 649, 1205, 9656, 705, 322, 3211, 286, 1411, 666, 1374, 873, 3054, 543, 1820, 873, 856, 269, 3509, 9102, 960, 9248, 616, 2139, 269, 589, 1434, 4244, 568, 547, 4647, 7792, 9656, 705, 322, 3211, 269, 901, 568, 25368, 1317, 596, 666, 1287, 2356, 1820, 856, 1022, 6656, 1022, 1297, 540, 2053, 780, 305, 1430, 982, 1210, 3211, 267, 513, 1732, 1505, 568, 547, 946, 1367, 2450, 3043, 12545, 543, 723, 519, 1126, 1603, 3003, 5013, 1082, 2053, 269, 11109, 513, 1126, 1603, 476, 280, 1535, 476, 278, 815, 476, 278, 1535, 476, 280, 815, 476, 8287, 1247, 6031, 9232, 333, 710, 2053, 5722, 568, 519, 1482, 607, 5722, 2053, 8370, 543, 568, 3160, 547, 24239, 31644, 892, 568, 1082, 2053, 811, 3811, 982, 513, 4976, 609, 476, 280, 1535, 476, 278, 815, 31233, 543, 519, 2875, 1175, 14659, 519, 2626, 2899, 543, 1287, 11339, 602, 2626, 593, 519, 26134, 2042, 269, 594, 786, 16153, 602, 972, 568, 835, 1826, 540, 4976, 602, 594, 1031, 538, 519, 2250, 543, 1336, 5266, 6225, 267, 4352, 621, 1185, 513, 1114, 2186, 540, 16950, 269, 1280, 1250, 9978, 4569, 267, 2776, 25575, 5040, 267, 543, 10789, 5049, 267, 594, 1185, 1896, 2835, 540, 9232, 1345, 19295, 9535, 892, 3211, 269, 1452, 3211, 1185, 5309, 338, 610, 11015, 2055, 693, 519, 1283, 267, 543, 607, 519, 1053, 5249, 519, 2042, 789, 941, 2016, 930, 2186, 540, 3009, 585, 7446, 513, 4484, 547, 6474, 602, 2626, 269, 1403, 789, 5249, 519, 2042, 7157, 267, 519, 5022, 5555, 12943, 519, 5309, 610, 678, 1497, 269, 4841, 10150, 891, 3211, 267, 855, 972, 616, 513, 7008, 1966, 2127, 1256, 609, 891, 3211, 269, 2368, 1053, 1131, 1205, 519, 2626, 547, 519, 678, 1497, 2038, 543, 1287, 960, 18807, 689, 4484, 547, 1966, 2626, 267, 865, 789, 14201, 1406, 1565, 610, 8026, 4376, 780, 26660, 949, 581, 513, 2370, 811, 7199, 267, 855, 1434, 3211, 786, 18663, 707, 1126, 547, 3132, 16517, 960, 602, 789, 666, 581, 10583, 540, 269, 1403, 596, 1616, 547, 1376, 8600, 707, 1126, 585, 9251, 267, 9656, 610, 1256, 21738, 1153, 267, 596, 991, 547, 1265, 9251, 3211, 602, 1683, 513, 3099, 540, 2238, 269, 17402, 267, 6746, 2329, 267, 2542, 267, 1603, 267, 5373, 267, 1514, 543, 2067, 9443, 616, 930, 540, 519, 2127, 602, 1453, 1063, 519, 6502, 540, 476, 274, 543, 476, 278, 666, 543, 1058, 1376, 1565, 827, 269, 6733, 585, 3099, 538, 519, 3211, 267, 607, 18110, 519, 1482, 3635, 936, 543, 936, 786, 16004, 707, 1126, 269, 31849, 540, 5961, 267, 1187, 2238, 543, 5693, 9788, 856, 3211, 616, 1018, 596, 616, 3168, 585, 269, 1403, 596, 2461, 1175, 3168, 585, 513, 1906, 1187, 3817, 547, 1832, 519, 3214, 11112, 1247, 596, 3434, 12129, 267, 1287, 1082, 540, 519, 1863, 7792, 3211, 2139, 786, 581, 5078, 780, 10214, 519, 21836, 1053, 1700, 11779, 7124, 619, 1700, 15884, 4324, 689, 7792, 3211, 269, 1358, 786, 948, 707, 2370, 835, 1451, 543, 4487, 2596, 2035, 538, 1259, 602, 786, 7001, 543, 3180, 741, 3007, 269, 5457, 602, 1507, 3214, 2972, 3257, 1919, 2864, 982, 3274, 2542, 610, 6947, 269, 1280, 713, 2601, 267, 10694, 267, 1134, 268, 650, 755, 3603, 3211, 609, 1945, 547, 798, 786, 1118, 1565, 1187, 585, 873, 269, 1548, 779, 811, 267, 11264, 707, 4976, 786, 2285, 519, 1126, 513, 16854, 2631, 540, 20106, 269, 5457, 547, 2824, 3211, 602, 616, 519, 1318, 1377, 7411, 585, 707, 1126, 269, 5192, 1945, 1932, 2182, 267, 543, 707, 1126, 786, 1831, 27209, 269, 5269, 621, 1932, 2653, 267, 543, 789, 4465, 1406, 1451, 1454, 269, 23467, 1041, 3211, 616, 2484, 811, 982, 11112, 960, 269, 1358, 616, 606, 1271, 851, 540, 1818, 2386, 602, 519, 2035, 596, 4001, 538, 707, 1753, 1153, 6529, 609, 707, 1126, 269, 3807, 1118, 2386, 596, 723, 513, 1434, 2707, 585, 3246, 519, 3211, 267, 543, 602, 789, 2461, 519, 1318, 3283, 585, 707, 4819, 610, 3214, 780, 2162, 16384, 22330, 8212, 8752, 6096, 692, 15037, 476, 2767, 267, 476, 1708, 272, 692, 2971, 476, 279, 628, 6103, 4569, 15585, 725, 6096, 692, 15037, 476, 2767, 267, 476, 1708, 272, 454, 7462, 11644, 6096, 1280, 15206, 454, 15037, 476, 2767, 267, 476, 1708, 272, 454, 30607, 8212, 6096, 2060, 12226, 454, 15037, 476, 2767, 267, 476, 1708, 272, 692, 8448, 11588, 540, 6096, 269, 769, 1840, 547, 519, 4324, 540, 11264, 930, 540, 519, 960, 2476, 689, 519, 2780, 267, 596, 786, 581, 2111, 547, 1491, 891, 3211, 609, 596, 9170, 596, 979, 269, 901, 1797, 952, 596, 979, 593, 16314, 267, 707, 1126, 666, 1869, 2347, 930, 540, 1010, 1153, 960, 269, 2060, 519, 946, 540, 891, 3211, 267, 707, 1126, 786, 849, 581, 2111, 547, 960, 593, 1010, 4050, 26206, 1983, 269, 2060, 519, 946, 540, 5904, 267, 1932, 1082, 1004, 616, 9561, 741, 4050, 26206, 269, 1879, 596, 3442, 547, 18954, 707, 1126, 267, 621, 568, 1271, 547, 946, 782, 519, 2200, 2139, 547, 596, 547, 2327, 707, 1126, 4991, 519, 1697, 2069, 269, 901, 2882, 4466, 2228, 3211, 585, 3214, 538, 519, 5396, 596, 20053, 547, 3382, 269, 1411, 666, 1287, 1820, 909, 519, 3211, 865, 707, 1126, 666, 2347, 873, 2476, 689, 519, 2780, 267, 3850, 707, 1126, 547, 960, 9170, 596, 979, 269, 769, 1840, 267, 891, 3211, 786, 1450, 707, 1126, 547, 960, 593, 1010, 4050, 26206, 267, 7674, 811, 982, 835, 3483, 547, 707, 1126, 779, 2069, 780, 8340, 519, 23527, 269, 1306, 596, 3406, 856, 1863, 3211, 596, 666, 1820, 585, 946, 538, 707, 1753, 267, 596, 1058, 1832, 513, 1592, 540, 707, 5396, 2673, 676, 269, 901, 786, 5512, 596, 547, 2638, 707, 1592, 547, 1294, 875, 1134, 513, 4976, 13352, 883, 707, 1544, 585, 3450, 707, 1126, 269, 901, 786, 1832, 596, 689, 8228, 909, 3211, 596, 5749, 1406, 2469, 547, 946, 269, 2368, 7270, 786, 2965, 1683, 606, 3573, 17609, 540, 3211, 689, 799, 547, 3442, 267, 3850, 596, 547, 1205, 1034, 540, 519, 3211, 596, 991, 538, 835, 1747, 269, 7179, 23067, 5455, 269, 2991, 596, 1265, 519, 2228, 3211, 585, 3214, 602, 786, 960, 585, 519, 1641, 2339, 596, 616, 2469, 547, 4001, 707, 1126, 267, 596, 666, 1820, 873, 909, 269, 901, 786, 1450, 707, 1126, 547, 2347, 519, 960, 22356, 269, 5221, 1082, 1004, 899, 547, 6615, 519, 2179, 540, 5496, 942, 741, 1126, 4991, 267, 2523, 950, 519, 1126, 568, 1762, 267, 3257, 930, 960, 1055, 519, 2780, 786, 581, 6225, 780, 2162, 16071, 540, 15585, 566, 6096, 6103, 476, 279, 692, 1892, 476, 276, 454, 1892, 476, 275, 454, 1892, 476, 274, 454, 1892, 476, 273, 454, 1892, 476, 272, 454, 31948, 901, 15585, 566, 6096, 6103, 476, 279, 692, 18800, 338, 616, 1857, 543, 1196, 3386, 269, 12815, 1196, 1080, 616, 7298, 547, 519, 17354, 543, 3755, 8259, 596, 18419, 707, 2689, 15587, 780, 7197, 5363, 8039, 723, 476, 1911, 1913, 610, 811, 692, 290, 20975, 692, 1805, 1738, 9664, 692, 7197, 15019, 692, 15037, 476, 2767, 267, 476, 1708, 272, 692, 15037, 476, 2767, 267, 476, 1708, 272, 692, 15037, 476, 2767, 267, 476, 1708, 272, 454, 15037, 476, 2767, 267, 476, 1708, 272, 454, 15037, 476, 2767, 267, 476, 1708, 272, 692, 30238, 5623, 692, 15037, 476, 2767, 267, 476, 1708, 272, 454, 15037, 476, 2767, 267, 476, 1708, 272, 454, 15037, 476, 2767, 267, 476, 1708, 272, 692, 30238, 5240, 692, 15037, 476, 2767, 267, 476, 1708, 272, 454, 15037, 476, 2767, 267, 476, 1708, 272, 454, 15037, 476, 2767, 267, 476, 1708, 272, 0, 258, 4569, 692, 8340, 519, 14694, 1858, 540, 519, 13409, 269, 2422, 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 ]
[ 3488, 4391, 280, 265, 280, 1704, 815, 476, 31003, 276, 6246, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1240, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 1240, 815, 476, 31003, 280, 2420, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 866, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 866, 815, 476, 4097, 279, 22145, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 736, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 736, 815, 476, 4097, 279, 27151, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2641, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2641, 815, 476, 4097, 280, 4962, 280, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2420, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2420, 815, 476, 4097, 280, 275, 4343, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2537, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2537, 815, 476, 4097, 280, 279, 1704, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2190, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2190, 815, 476, 12573, 3422, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1839, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 1839, 815, 476, 12573, 276, 4037, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2918, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2918, 815, 476, 12573, 4817, 275, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2767, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2767, 815, 476, 31620, 18357, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2764, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2764, 815, 476, 31620, 278, 1321, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 3066, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 3066, 815, 476, 31134, 6021, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1789, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 1789, 815, 476, 31134, 30420, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 4029, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 4029, 815, 476, 31134, 279, 5392, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 3953, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 3953, 815, 476, 31874, 25248, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 3451, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 3451, 815, 476, 31874, 2568, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 4097, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 4097, 815, 476, 31874, 7176, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 3374, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 3374, 815, 476, 30500, 18458, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 3607, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 3607, 815, 476, 30500, 278, 4510, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 4391, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 4391, 815, 476, 28307, 11277, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 4343, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 4343, 815, 476, 28307, 2004, 273, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 4375, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 4375, 815, 476, 28307, 6434, 272, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2412, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 2412, 815, 476, 32579, 18605, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 6078, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 6078, 815, 476, 32579, 277, 4375, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 5655, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 5655, 815, 476, 3374, 278, 26289, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 6246, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 6246, 815, 476, 3374, 278, 4375, 278, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 4510, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 4510, 815, 476, 3374, 278, 6507, 277, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 3393, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 3393, 815, 476, 3374, 279, 14028, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 5379, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 5379, 815, 476, 3374, 279, 276, 4097, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 5325, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 5325, 815, 476, 3374, 279, 280, 1724, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 4366, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 4366, 815, 476, 3374, 280, 29580, 5073, 825, 952, 1003, 272, 2652, 476, 4391, 280, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 5392, 912, 1038, 1820, 3488, 4391, 280, 265, 280, 5392, 815, 476, 3374, 280, 6858, 272, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 12010, 912, 1038, 1820, 3488, 23884, 265, 12010, 815, 476, 31079, 1822, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 272, 912, 1038, 1820, 3488, 23884, 265, 3445, 272, 815, 476, 31079, 23884, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 273, 912, 1038, 1820, 3488, 23884, 265, 3445, 273, 815, 476, 31079, 31318, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 274, 912, 1038, 1820, 3488, 23884, 265, 3445, 274, 815, 476, 29340, 9610, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 275, 912, 1038, 1820, 3488, 23884, 265, 3445, 275, 815, 476, 29340, 26392, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 276, 912, 1038, 1820, 3488, 23884, 265, 3445, 276, 815, 476, 29340, 12010, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 277, 912, 1038, 1820, 3488, 23884, 265, 3445, 277, 815, 476, 30306, 18231, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 278, 912, 1038, 1820, 3488, 23884, 265, 3445, 278, 815, 476, 30306, 32133, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 279, 912, 1038, 1820, 3488, 23884, 265, 3445, 279, 815, 476, 24833, 31239, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 3445, 280, 912, 1038, 1820, 3488, 23884, 265, 3445, 280, 815, 476, 24833, 22213, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1015, 912, 1038, 1820, 3488, 23884, 265, 280, 1015, 815, 476, 24833, 8517, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 26605, 912, 1038, 1820, 3488, 23884, 265, 26605, 815, 476, 31798, 5197, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1321, 912, 1038, 1820, 3488, 23884, 265, 280, 1321, 815, 476, 31798, 28794, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1724, 912, 1038, 1820, 3488, 23884, 265, 280, 1724, 815, 476, 31798, 280, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1691, 912, 1038, 1820, 3488, 23884, 265, 280, 1691, 815, 476, 31003, 17168, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1428, 912, 1038, 1820, 3488, 23884, 265, 280, 1428, 815, 476, 31003, 10384, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1626, 912, 1038, 1820, 3488, 23884, 265, 280, 1626, 815, 476, 4097, 279, 24699, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1704, 912, 1038, 1820, 3488, 23884, 265, 280, 1704, 815, 476, 4097, 279, 29121, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1240, 912, 1038, 1820, 3488, 23884, 265, 280, 1240, 815, 476, 4097, 279, 279, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 866, 912, 1038, 1820, 3488, 23884, 265, 280, 866, 815, 476, 4097, 280, 13136, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 736, 912, 1038, 1820, 3488, 23884, 265, 280, 736, 815, 476, 4097, 280, 7785, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2641, 912, 1038, 1820, 3488, 23884, 265, 280, 2641, 815, 476, 4097, 280, 280, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2420, 912, 1038, 1820, 3488, 23884, 265, 280, 2420, 815, 476, 12573, 11740, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2537, 912, 1038, 1820, 3488, 23884, 265, 280, 2537, 815, 476, 12573, 278, 2412, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2190, 912, 1038, 1820, 3488, 23884, 265, 280, 2190, 815, 476, 31620, 6344, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 1839, 912, 1038, 1820, 3488, 23884, 265, 280, 1839, 815, 476, 31620, 4335, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2918, 912, 1038, 1820, 3488, 23884, 265, 280, 2918, 815, 476, 31620, 279, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2767, 912, 1038, 1820, 3488, 23884, 265, 280, 2767, 815, 476, 31134, 18605, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 2764, 912, 1038, 1820, 3488, 23884, 265, 280, 2764, 815, 476, 31134, 25953, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652, 25952, 543, 1003, 273, 2652, 476, 280, 3066, 912, 1038, 1820, 3488, 23884, 265, 280, 3066, 815, 476, 31874, 22903, 5073, 825, 952, 1003, 272, 2652, 476, 23884, 543, 1129, 2652 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30101, 5126, 3609, 568, 513, 2565, 5057, 540, 1857, 543, 1514, 3609, 602, 6663, 547, 2232, 543, 2699, 816, 3140, 543, 4207, 7292, 31716, 543, 7130, 1369, 2486, 269, 769, 2487, 1296, 267, 5717, 4478, 7292, 5126, 723, 1831, 5051, 7986, 538, 2797, 11407, 267, 3226, 538, 519, 2796, 540, 3395, 4550, 25322, 2128, 1436, 5322, 543, 519, 5571, 1764, 540, 683, 565, 28515, 4507, 593, 12790, 2950, 269, 901, 1576, 1770, 786, 2263, 519, 2078, 1063, 7292, 5126, 3609, 267, 683, 565, 28515, 1143, 267, 543, 4550, 25322, 2128, 1436, 267, 5373, 2390, 1699, 3466, 267, 1483, 8996, 1806, 267, 543, 2487, 2090, 780, 2414, 2253, 267, 621, 568, 1898, 547, 1174, 519, 1523, 540, 683, 565, 28515, 1143, 543, 922, 6286, 585, 7292, 5126, 269, 3026, 565, 28515, 1143, 568, 513, 2797, 543, 2804, 16809, 602, 11363, 1367, 5191, 267, 1863, 6990, 267, 543, 3908, 2229, 6304, 269, 2755, 28288, 8044, 602, 683, 565, 28515, 1143, 8992, 7862, 543, 4398, 267, 13915, 25077, 602, 621, 25409, 2640, 14547, 31794, 693, 519, 13258, 540, 12790, 2950, 269, 5047, 267, 683, 565, 28515, 4507, 1419, 28511, 543, 22652, 4540, 7292, 13103, 267, 607, 789, 7048, 593, 2344, 6127, 602, 949, 26777, 13840, 27797, 2516, 269, 1280, 3236, 267, 519, 632, 28832, 540, 6080, 666, 1291, 547, 2816, 9271, 538, 2950, 540, 2681, 267, 1247, 3454, 11912, 585, 14078, 949, 2569, 7616, 585, 1514, 3292, 602, 4324, 891, 1482, 5095, 780, 763, 476, 1220, 279, 2883, 6433, 2488, 513, 8903, 1383, 540, 519, 7292, 1242, 5222, 540, 683, 565, 28515, 4507, 269, 11374, 519, 6433, 267, 519, 772, 2529, 269, 4346, 4810, 1713, 24187, 267, 4611, 538, 7839, 13864, 267, 8027, 2062, 743, 17007, 267, 543, 4747, 8635, 269, 18877, 540, 2681, 941, 5734, 2523, 2182, 267, 7680, 2362, 3928, 540, 2816, 2530, 267, 1753, 2062, 26918, 267, 543, 6710, 982, 741, 3043, 13413, 269, 6736, 3646, 547, 12954, 519, 4346, 998, 11050, 1574, 532, 543, 824, 13075, 4507, 267, 891, 13103, 6414, 267, 10223, 519, 991, 585, 811, 6098, 7459, 6322, 693, 5466, 7293, 10168, 543, 5009, 9698, 780, 1103, 713, 2796, 267, 4550, 25322, 2128, 1436, 5322, 723, 7153, 607, 513, 1761, 3196, 585, 1689, 269, 14640, 25322, 2128, 1436, 4016, 547, 11685, 547, 519, 2810, 5610, 540, 11615, 267, 4529, 267, 543, 7239, 998, 2518, 4123, 543, 2883, 5238, 269, 31379, 8044, 602, 14051, 814, 3366, 547, 11097, 2287, 4747, 10616, 267, 2825, 12159, 267, 543, 2686, 4630, 4094, 1436, 269, 5015, 267, 930, 7682, 602, 14051, 814, 8329, 547, 7292, 21440, 267, 607, 29505, 14078, 17908, 10464, 4074, 538, 3384, 2477, 267, 1419, 538, 4525, 20651, 676, 1004, 540, 2681, 269, 9182, 267, 4550, 25322, 2128, 1436, 15156, 1289, 585, 3152, 7939, 540, 3486, 4123, 267, 5092, 267, 543, 8804, 267, 607, 1134, 607, 2799, 20038, 585, 4600, 543, 519, 1604, 780, 3080, 8037, 23314, 540, 519, 4550, 25322, 2128, 1436, 3350, 568, 519, 4473, 540, 17069, 626, 3401, 945, 31194, 593, 27025, 8351, 609, 519, 4567, 28943, 269, 769, 1312, 519, 2136, 2276, 543, 519, 2136, 8003, 267, 1318, 26310, 17069, 1235, 723, 10244, 539, 4550, 25322, 2128, 1436, 18941, 547, 4434, 30542, 2684, 11131, 543, 28929, 989, 31789, 267, 799, 1419, 3077, 11082, 543, 6803, 18441, 269, 6270, 20116, 666, 2417, 1303, 3402, 7292, 25327, 543, 24183, 3646, 2509, 7292, 5126, 269, 898, 568, 4061, 2629, 547, 10646, 1063, 11636, 543, 1036, 4809, 3029, 540, 4550, 25322, 2128, 1436, 6214, 543, 547, 5431, 519, 1950, 2081, 538, 799, 5198, 12969, 338, 609, 6626, 14227, 6384, 780, 3383, 1018, 1522, 513, 7292, 5126, 3609, 5943, 1413, 899, 1369, 606, 4550, 25322, 2128, 1436, 2796, 286, 2290, 1935, 3322, 4101, 9746, 1379, 543, 14053, 3152, 12477, 585, 29505, 14078, 5665, 2066, 10665, 269, 901, 1223, 4125, 14304, 4074, 4441, 267, 7598, 31749, 6042, 593, 2825, 5533, 267, 543, 4180, 602, 3549, 2628, 741, 4023, 2671, 540, 9204, 538, 519, 22875, 1141, 789, 7500, 269, 1635, 3257, 865, 267, 14519, 666, 948, 11574, 519, 2942, 4539, 540, 14051, 543, 3895, 12581, 1646, 780, 5194, 4640, 3322, 10115, 538, 1514, 10304, 3292, 543, 1857, 2533, 602, 25409, 4324, 2950, 540, 2681, 269, 6201, 1331, 9750, 1569, 547, 10097, 3782, 267, 5355, 3872, 3255, 267, 543, 7393, 5989, 538, 896, 637, 712, 1027, 2127, 269, 1452, 7341, 666, 6536, 8537, 2208, 543, 7522, 10770, 7292, 13103, 269, 3958, 267, 5885, 1507, 4213, 543, 24625, 2510, 11262, 676, 1004, 540, 2681, 666, 3565, 547, 2199, 5763, 5137, 543, 1582, 24148, 780, 7661, 267, 5807, 3444, 31215, 17604, 1851, 12790, 2950, 4564, 513, 4105, 2460, 540, 513, 7292, 5126, 3609, 16786, 269, 1635, 2679, 24816, 2066, 3084, 6302, 267, 15628, 666, 24244, 741, 9739, 267, 1451, 689, 3838, 2833, 267, 543, 11282, 7104, 2962, 269, 3690, 20139, 5121, 666, 849, 7520, 1702, 5385, 267, 4199, 4254, 16478, 267, 543, 4390, 2679, 267, 7175, 12790, 2516, 547, 4161, 26568, 3889, 543, 12167, 585, 13710, 1689, 780, 1103, 3932, 267, 519, 10167, 540, 7292, 5126, 3609, 267, 683, 565, 28515, 1143, 267, 543, 4550, 25322, 2128, 1436, 6799, 1312, 2591, 543, 3255, 585, 14027, 9698, 543, 10014, 269, 1677, 3035, 6209, 3356, 267, 14519, 1590, 13720, 519, 7292, 1242, 5222, 540, 683, 565, 28515, 4507, 267, 4497, 9691, 609, 4550, 25322, 2128, 1436, 27964, 267, 543, 11349, 2994, 602, 7668, 12790, 2950, 543, 16311, 8789, 1379, 3889, 269, 3414, 11826, 2079, 267, 3860, 1966, 6061, 267, 543, 10319, 2962, 267, 649, 666, 1628, 513, 811, 1175, 543, 12581, 2104, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2752, 12087, 4041, 1923, 8222, 281, 1015, 269, 20385, 4510, 270, 2181, 21646, 1708, 9083, 269, 9826, 274, 18192, 272, 454, 20428, 281, 6355, 267, 13188, 1656, 5004, 267, 19098, 1656, 12525, 566, 27511, 281, 4550, 25322, 2128, 1436, 282, 2804, 14051, 282, 2475, 26730, 3990, 14051, 454, 15697, 281, 476, 272, 5988, 476, 1708, 272, 630, 1556, 281, 2764, 281, 1626, 595, 4953, 994, 7712, 519, 2883, 6433, 538, 476, 1220, 279, 267, 519, 772, 2529, 269, 4346, 814, 18604, 267, 543, 519, 1158, 4346, 814, 7444, 2919, 269, 1306, 519, 1158, 781, 3056, 2197, 267, 519, 2136, 2276, 814, 1031, 1082, 2409, 547, 11177, 519, 4346, 269, 1809, 621, 1281, 960, 7561, 269, 1717, 267, 972, 616, 1082, 2152, 538, 2919, 2477, 971, 607, 6469, 1514, 267, 2804, 267, 11776, 538, 519, 2136, 2276, 270, 18197, 8003, 282, 1346, 616, 711, 23904, 269, 31603, 2477, 723, 9411, 513, 14196, 269, 634, 683, 565, 28515, 1143, 2883, 1062, 814, 1044, 8572, 547, 1847, 4464, 269, 7377, 592, 1235, 723, 11329, 856, 602, 1346, 2042, 723, 1044, 4929, 676, 14051, 269, 7201, 519, 5718, 540, 519, 6601, 343, 527, 4676, 699, 31558, 267, 5518, 11686, 814, 3361, 513, 5951, 540, 4550, 25322, 2128, 1436, 269, 7201, 513, 3126, 540, 1949, 971, 607, 519, 3624, 268, 4785, 4123, 2112, 543, 519, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 18432, 10456, 8889, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 5398, 8889, 1315, 4317, 8889, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 5767, 5986, 7045, 256, 4653, 649, 3513, 2263, 513, 8949, 543, 15520, 3638, 11951, 1634, 607, 31522, 5253, 269, 901, 2511, 540, 5986, 814, 922, 5072, 7184, 12630, 538, 3979, 1977, 1686, 543, 2245, 269, 898, 782, 3323, 1394, 950, 20665, 20338, 941, 4547, 936, 547, 3013, 543, 1185, 547, 1118, 798, 609, 1018, 789, 1223, 1265, 610, 30550, 269, 1358, 1031, 741, 5876, 543, 4199, 6888, 547, 2490, 2241, 5820, 883, 5023, 22476, 6980, 602, 16138, 1639, 1312, 1560, 543, 9997, 269, 4634, 1498, 2053, 723, 4957, 267, 713, 4313, 1426, 5170, 547, 3636, 12271, 543, 6445, 11350, 625, 2066, 4683, 7740, 2221, 269, 1924, 10544, 707, 24203, 976, 543, 1577, 781, 4685, 1318, 538, 2439, 5575, 1055, 267, 596, 1522, 4898, 267, 834, 1432, 4010, 568, 31522, 5253, 8119, 4270, 267, 4952, 512, 31902, 883, 513, 6676, 533, 6150, 1164, 609, 5743, 6853, 267, 11344, 22304, 9269, 282, 13035, 267, 15835, 2987, 3917, 712, 2173, 1926, 2458, 731, 16719, 16802, 532, 609, 8137, 282, 543, 855, 6670, 8970, 30103, 865, 1434, 621, 3085, 1405, 1256, 991, 1022, 25888, 256, 1452, 616, 1175, 930, 5929, 8286, 602, 13686, 519, 2295, 1465, 543, 14246, 540, 31522, 5253, 269, 1411, 1294, 267, 693, 922, 4295, 267, 31522, 5253, 568, 827, 1210, 18803, 5820, 899, 8970, 22596, 267, 21364, 16719, 267, 543, 10097, 11912, 540, 5779, 547, 1711, 12050, 267, 17598, 10366, 602, 6529, 547, 707, 28937, 780, 3086, 267, 2094, 649, 2811, 6158, 827, 31522, 5253, 538, 4683, 7740, 267, 1577, 781, 1589, 827, 4872, 1141, 596, 666, 1265, 891, 32727, 696, 1190, 22655, 269, 3245, 519, 14297, 10754, 540, 1715, 3840, 4975, 547, 519, 7524, 16973, 540, 24611, 267, 9628, 267, 543, 3564, 1107, 31522, 5253, 10549, 32736, 256, 3962, 2749, 6770, 922, 1378, 6335, 547, 2757, 10346, 267, 1818, 1169, 7594, 513, 2189, 11477, 3460, 998, 942, 543, 1747, 780, 4131, 781, 2119, 938, 1688, 693, 8600, 835, 971, 8670, 1572, 14929, 11017, 262, 3627, 269, 589, 20013, 538, 1082, 8828, 10820, 267, 2523, 1472, 1715, 5729, 781, 4303, 267, 713, 17705, 598, 1723, 794, 2934, 3109, 31991, 17112, 630, 6518, 21843, 11113, 1070, 7573, 267, 8423, 554, 4169, 267, 543, 13907, 540, 4005, 902, 269, 26499, 814, 621, 602, 4189, 14929, 11017, 262, 3627, 786, 3142, 13884, 538, 519, 4947, 1032, 269, 1656, 30971, 267, 945, 6487, 286, 9320, 627, 6235, 909, 513, 16801, 585, 3054, 543, 707, 1920, 786, 8300, 930, 9939, 1932, 2439, 2080, 781, 875, 596, 666, 1118, 14929, 11017, 262, 3627, 693, 1753, 1384, 28808, 19263, 1384, 265, 476, 272, 11013, 12015, 3109, 31991, 17112, 454, 265, 476, 275, 11680, 1216, 454, 265, 476, 273, 28655, 8423, 554, 4169, 454, 265, 476, 272, 1804, 22323, 267, 22872, 454, 265, 476, 274, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 272, 3039, 14723, 267, 22872, 454, 265, 476, 272, 13767, 2044, 31537, 267, 22872, 454, 265, 476, 273, 15922, 3762, 454, 265, 17865, 543, 14723, 547, 6492, 454, 265, 18237, 577, 540, 16760, 2699, 14723, 1166, 1389, 630, 28436, 994, 265, 476, 273, 11680, 11273, 3043, 7573, 692, 9743, 15297, 1384, 272, 269, 681, 710, 569, 11547, 519, 3109, 31991, 17112, 896, 4411, 4881, 1216, 2394, 519, 1216, 8255, 2312, 269, 9255, 873, 538, 513, 1804, 1494, 2059, 609, 519, 476, 275, 11680, 540, 1216, 543, 8423, 554, 4169, 269, 20780, 3388, 547, 513, 14974, 267, 1287, 2539, 519, 3002, 543, 1450, 621, 547, 31652, 9900, 585, 827, 476, 1789, 3764, 780, 273, 269, 5410, 519, 22872, 22323, 267, 13342, 267, 3039, 14723, 267, 13767, 2044, 267, 15922, 3762, 267, 6070, 267, 14723, 267, 543, 2699, 14723, 1166, 1389, 952, 1210, 269, 853, 597, 1134, 267, 3382, 519, 1494, 267, 543, 3136, 31652, 532, 585, 1776, 5662, 610, 865, 267, 28817, 12212, 269, 1635, 1631, 267, 519, 10365, 1058, 581, 8799, 543, 13035, 267, 1247, 519, 5277, 5394, 839, 883, 513, 29902, 1178, 11803, 269, 1403, 2877, 267, 1039, 811, 1216, 1282, 5986, 547, 2061, 23578, 780, 274, 269, 4495, 2944, 267, 4894, 519, 8423, 554, 4169, 689, 519, 1494, 543, 4584, 856, 1022, 17580, 5779, 267, 27054, 3429, 621, 29656, 1354, 13059, 621, 547, 519, 7848, 269, 5494, 731, 519, 7633, 543, 2960, 780, 275, 269, 7053, 267, 3575, 538, 519, 11273, 7573, 543, 2285, 621, 513, 3803, 6492, 2638, 585, 4005, 532, 11941, 269, 31160, 3905, 7258, 930, 8970, 30103, 610, 2458, 731, 16719, 952, 5551, 269, 17949, 707, 19471, 14929, 11017, 262, 3627, 2439, 3528, 1565, 827, 31522, 5253, 543, 3843, 856, 1007, 10346, 899, 14929, 11017, 262, 3627, 267, 711, 1152, 786, 596, 4228, 707 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2091, 2891, 301, 2100, 267, 596, 723, 547, 1826, 676, 519, 3652, 23528, 1038, 8640, 834, 525, 516, 591, 257, 538, 1985, 610, 834, 9526, 330, 322, 629, 257, 538, 1985, 610, 834, 335, 559, 325, 257, 538, 1985, 610, 834, 333, 2354, 257, 538, 1985, 610, 834, 323, 333, 1846, 323, 333, 1695, 257, 538, 1985, 912, 2018, 952, 2847, 318, 517, 568, 6936, 912, 3546, 2847, 318, 517, 815, 8771, 454, 3546, 1820, 834, 31819, 30809, 1472, 543, 519, 4055, 556, 528, 1801, 3294, 4799, 3546, 1820, 834, 2791, 12235, 909, 513, 2370, 855, 616, 6382, 5386, 4799, 3546, 1820, 834, 3719, 621, 781, 1175, 707, 8226, 602, 781, 1044, 796, 3146, 951, 539, 4799, 3546, 1820, 834, 2791, 1869, 723, 547, 2170, 609, 3388, 1472, 596, 23651, 4799, 2018, 3116, 912, 3546, 1820, 834, 31819, 30809, 1472, 543, 519, 4055, 556, 528, 1801, 3294, 4799, 3546, 9258, 23631, 2091, 2891, 2791, 12235, 909, 513, 2370, 855, 616, 6382, 5386, 23528, 3546, 9258, 23631, 2091, 2891, 31819, 568, 23651, 1586, 23528, 1038, 8640, 834, 330, 944, 257, 538, 1985, 610, 834, 523, 574, 1314, 324, 257, 538, 1985, 912, 2018, 9258, 23631, 2091, 2891, 2791, 4983, 519, 533, 9820, 2917, 1360, 5702, 607, 596, 1118, 707, 1259, 2066, 519, 4055, 23528, 2018, 9258, 23631, 2091, 2891, 1103, 513, 2484, 7944, 267, 972, 781, 606, 6679, 538, 519, 3774, 17549, 2462, 2614, 585, 513, 4819, 3368, 707, 2450, 23528, 2018, 9258, 23631, 2091, 2891, 2005, 5654, 899, 519, 14827, 547, 835, 540, 1346, 11255, 8546, 15942, 23528, 1038, 8640, 834, 1815, 333, 611, 257, 538, 1985, 912, 2018, 9258, 23631, 2091, 2891, 2791, 5577, 538, 1985, 547, 519, 536, 22324, 23528, 2018, 9258, 23631, 2091, 2891, 763, 1079, 540, 596, 1630, 690, 773, 1524, 23528, 2018, 952, 711, 536, 22324, 7272, 1170, 539, 912, 3546, 9258, 23631, 2091, 2891, 763, 536, 22324, 781, 1279, 10772, 1000, 3558, 538, 942, 547, 519, 2575, 23528, 2018, 3116, 912, 3546, 9258, 23631, 2091, 2891, 296, 1589, 519, 536, 22324, 568, 4358, 547, 899, 596, 23528, 3546, 536, 22324, 7272, 1170, 539, 815, 8771, 454, 1038, 8640, 834, 2106, 333, 889, 257, 538, 1985, 912, 2018, 9258, 23631, 2091, 2891, 763, 536, 22324, 781, 20335, 8797, 547, 596, 269, 898, 554, 3591, 856, 540, 3914, 23528, 1038, 8640, 834, 539, 2812, 257, 538, 1985, 912, 2018, 9258, 23631, 2091, 2891, 2791, 18214, 883, 519, 13472, 543, 2196, 909, 922, 3303, 2718, 3259, 23528, 2018, 1820, 834, 2791, 1205, 546, 714, 5414, 607, 1919, 8095, 1394, 883, 741, 1697, 1747, 26142, 333, 4840, 2018, 561, 877, 318, 3336, 4590, 1038, 8640, 1985, 2652, 834, 516, 701, 520, 257, 610, 1985, 2652, 834, 339, 2801, 704, 13426, 2018, 23651, 318, 3336, 7272, 668, 696, 4590, 1038, 8640, 834, 921, 327, 257, 538, 1985, 912, 2018, 952, 2847, 318, 517, 2652, 6936, 912, 3546, 9258, 23631, 2091, 2891, 2791, 666, 667, 23814, 609, 519, 645, 7419, 29369, 267, 29486, 10498, 1472, 267, 798, 513, 670, 13263, 4306, 13263, 267, 610, 29187, 292, 2969, 23528, 3546, 9258, 23631, 2091, 2891, 7775, 533, 1170, 707, 27890, 23528, 2018, 3116, 912, 3546, 1820, 834, 2791, 666, 10566, 2793, 291, 609, 519, 962, 13585, 18510, 267, 918, 302, 5357, 1472, 267, 798, 513, 5027, 15056, 2793, 295, 267, 610, 25526, 7968, 2207, 26142, 333, 7775, 533, 1170, 707, 27890, 4799, 1038, 8640, 1985, 2652, 834, 325, 3089, 713, 13426, 2018, 14827, 4590, 1038, 3116, 912, 2018, 9258, 23631, 2091, 2891, 2791, 544, 18443, 1651, 334, 6254, 569, 543, 533, 1170, 707, 27890, 1701, 9239, 258, 589, 1592, 540, 678, 26680, 585, 519, 678, 1497, 318, 3336, 263, 1916, 337, 26680, 815, 1496, 454, 825, 22373, 339, 4176, 2580, 834, 1042, 2580, 834, 16954, 2580, 834, 288, 671, 748, 670, 5060, 2917, 2580, 834, 821, 257, 16689, 825, 22373, 15927, 2580, 834, 528, 1052, 2580, 834, 306, 1460, 2580, 834, 320, 570, 10455, 2335, 28683, 556, 343, 2580, 834, 18314, 257, 16689, 825, 22373, 523, 768, 748, 2580, 834, 344, 3641, 2580, 834, 306, 638, 880, 2580, 834, 301, 15625, 13495, 11253, 2580, 834, 22764, 257, 16689, 825, 22373, 26171, 2580, 834, 13582, 2580, 834, 308, 327, 268, 7795, 2580, 834, 20365, 3158, 2580, 834, 27917, 257, 16689, 825, 22373, 20791, 2580, 834, 19990, 2580, 834, 290, 545, 3266, 2580, 834, 534, 10236, 14521, 1242, 3043, 546, 24387, 2580, 834, 325, 633, 257, 16689, 825, 22373, 321, 22324, 13355, 2580, 834, 785, 15282, 2580, 834, 299, 2354, 577, 6308, 2580, 834, 320, 1025, 532, 539, 13050, 1397, 326, 20071, 2580, 834, 338, 1460, 257, 16689, 825, 22373, 2381, 4593, 2544, 2580, 834, 341, 14489, 2580, 834, 3891, 1185, 621, 635, 514, 262, 2580, 834, 1410, 17376, 830, 14012, 962, 4157, 1470, 24051, 1195, 4821, 2580, 834, 572, 1597, 31116, 6540, 454, 3698, 678, 1497, 8548, 6033, 10031, 825, 7759, 11133, 815, 4351, 27110, 263, 271, 267, 476, 277, 264, 476, 1948, 1547, 1029, 1598, 1029, 4590, 825, 7759, 8217, 815, 678, 26680, 314, 5090, 11133, 2639, 825, 2450, 815, 7759, 8217, 314, 271, 2639, 825, 2681, 815, 7759, 8217, 314, 272, 2639, 825, 2243, 815, 7759, 8217, 314, 273, 2639, 825, 554, 860, 1090, 815, 7759, 8217, 314, 274, 2639, 825, 2626, 815, 7759, 8217, 314, 275, 6540, 825, 1820, 834, 2791, 3802, 909, 547, 513, 4939, 338, 4939, 338, 2243, 1665, 543, 7903, 621, 883, 519, 3774, 1701, 4939, 630, 21653, 267, 2681, 994, 825, 1820, 834, 2005, 3785, 513, 554, 860, 1090, 540, 4939, 338, 5196, 519, 6989, 693, 707, 3952, 1701, 4939, 554, 860, 1090, 454, 825, 1820, 834, 1103, 513, 2462, 267, 1630, 4040, 5639, 602, 25361, 519, 4055, 267, 621, 12134, 596, 713, 2243, 281, 4840, 825, 1820, 1412, 257, 260, 338, 257, 262, 4939, 2243, 692, 825, 1247, 6936, 912, 1038, 1985, 815, 6151, 17750, 2891, 285, 834, 1040, 12294, 10797, 1038, 952, 2626, 538, 1985, 912, 2018, 1820, 1412, 257, 24168, 717, 5588, 8668, 10590, 7055, 2018, 1820, 834, 763, 554, 860, 1090, 23929, 1472, 25747, 543, 6329, 513, 9059, 18389, 4799, 2018, 1820, 834, 288, 7450, 5526, 593, 519, 3774, 6587, 596, 267, 4259, 1082, 10477, 2243, 7436, 593, 3595, 538, 519, 1184, 4799, 2018, 1820, 834, 2791, 1193, 728, 2066, 519, 4055, 543, 7485, 1930, 519, 7450, 15112, 11244, 569, 26142, 333, 4840, 2018, 1659, 525, 636, 318, 3336, 4590, 1038, 8640, 1985, 2652, 834, 325, 3089, 713, 13426, 2018, 14827, 4590, 1038, 3116, 912, 2018, 1820, 1412, 257, 6546, 32075, 338, 519, 4636, 2626, 2437, 1630, 1682, 519, 554, 860, 1090, 607, 621, 8034, 3960, 525, 856, 543, 7106, 8986, 25692, 2018, 1820, 834, 2791, 1152, 1205, 835, 8929, 693, 16460, 1142, 2243, 286, 2334, 781, 13032, 3333, 527, 4799, 2018, 1820, 834, 11039, 267, 2119, 1776, 2243, 4799, 2018, 1820, 834, 28646, 596, 3513, 1205, 1394, 547, 713, 835, 2663, 4799, 2018, 2132, 7531, 3698, 678, 1497, 318, 3336, 7272, 668, 696, 10031, 825, 1820, 834, 2791, 1265, 3054, 538, 513, 17063, 1673, 6614, 23469, 4055, 4904, 609, 22774, 23469, 2243, 7436, 4799, 825, 1820, 834, 7312, 4064, 1216, 689, 519, 3308, 14213, 3010, 454, 3698, 678, 1497, 318, 3336, 3890, 1384, 825, 678, 1497, 318, 3336, 7272, 668, 696, 10797, 825, 1247, 6936, 912, 1038, 1985, 815, 6151, 17750, 2891, 285, 834, 1040, 12294, 10797, 1038, 952, 834, 321, 22324, 257, 538, 1985, 912, 2018, 1820, 834, 17764, 256, 634, 536, 22324, 781, 2370, 3043, 10412, 2766, 7106, 8986, 883, 513, 7484, 4580, 538, 519, 6989, 4799, 2018, 1820, 834, 296, 1589, 972, 781, 1776, 1259, 856, 540, 1934, 4799, 1038, 8640, 834, 23896, 257, 538, 1985, 912, 2018, 678, 1497, 8548, 6033, 4590, 1038, 8640, 834, 31728, 257, 538, 1985, 912, 2018, 952, 834, 335, 2313, 257, 538, 1985, 912, 3546, 1820, 834, 26139, 560, 707, 1732, 10385, 267, 596, 7903, 519, 2370, 2699, 7735, 4799, 3546, 1820, 834, 2791, 1745, 2011, 678, 5241, 2250, 596, 4799, 3546, 1820, 834, 8005, 9655, 30882, 3546, 1820, 834, 288, 19996, 6438, 1699, 4418, 10134, 596, 856, 998, 519, 6885, 4799, 3546, 1820, 834, 2791, 2811, 9141, 909, 899, 513, 15177, 998, 519, 6607, 26142, 333, 4840, 3546, 2620, 318, 11898, 4590, 2018, 3116, 912, 3546, 1820, 834, 2791, 3802, 909, 547, 519, 2370, 2699, 7735, 543, 9263, 693, 621, 5702, 4799, 3546, 1820, 834, 2005, 5654, 899, 513, 32616, 673, 2370, 2699, 7735, 4799, 3546, 1820, 834, 8253, 519, 3170, 2186, 602, 814, 513, 4965, 585, 707, 14853, 267, 855, 7522, 518, 4799, 1038, 8640, 834, 19972, 257, 538, 1985, 610, 834, 3336, 257, 538, 1985, 610, 834, 1410, 8533, 257, 538, 1985, 912, 2018, 1820, 834, 2026, 596, 1413, 1472, 267, 596, 5469, 602, 519, 1099, 545, 565, 528, 2243, 7436, 666, 581, 14593, 883, 519, 3774, 4799, 2018, 1820, 834, 2467, 781, 513, 2370, 2699, 7735, 593, 519, 824, 2427, 540, 519, 4055, 267, 3710, 883, 519, 12297, 540, 513, 4544, 954, 13681, 836, 4799, 2018, 1820, 834, 763, 13711, 536, 22324, 2879, 14554, 1472, 269, 4706, 6505, 267, 21743, 10359, 5654, 1318, 693, 1753, 1934, 4799, 1038, 8640, 1985, 2652, 834, 15276, 13426, 2018, 1820, 834, 2791, 666, 29486, 10498, 589, 4629, 26685, 610, 4983, 835, 540, 519, 1082, 32530, 3582, 338, 593, 519, 6821, 4799, 1038, 8640, 1985, 2652, 834, 325, 3089, 713, 13426, 2018, 14827, 4590, 1038, 3116, 912, 2018, 1820, 834, 2791, 544, 18443, 575, 756, 828, 880, 543, 533, 1170, 707, 27890, 3010, 454, 3698, 4666, 263, 25585, 2187, 825, 1820, 1946, 454, 825, 1820, 27719, 333, 310, 307, 293, 1946, 1705, 596, 798, 602, 26142, 333, 289, 7112, 26142, 333, 2791, 2811, 4666, 1631, 26142, 333, 4840, 825, 1820, 834, 12988, 547, 4009, 835, 286, 962, 21610, 5016, 825, 1247, 6936, 912, 1038, 1985, 815, 6151, 17750, 2891, 285, 834, 1040, 12294, 10797, 1038, 952, 1985, 2652, 834, 13433, 257, 610, 1985, 2652, 834, 344, 257, 610, 1985, 2652, 834, 338, 675, 257, 610, 1985, 2652, 834, 758, 257, 610, 1985, 2652, 834, 758, 599, 257, 610, 1985, 2652, 834, 325, 710, 13426, 2018, 2518, 536, 22324, 7272, 1170, 539, 454, 2018, 2518, 814, 6831, 541, 8527, 454, 2018, 2518, 814, 7272, 641, 25468, 454, 2018, 2518, 814, 14682, 684, 454, 2018, 2518, 2847, 318, 517, 454, 2018, 2518, 1293, 454, 2018, 536, 22324, 7272, 1170, 539, 815, 8771, 454, 2018, 814, 6831, 541, 8527, 815, 8771, 454, 2018, 814, 7272, 641, 25468, 815, 8771, 454, 2018, 814, 14682, 684, 815, 8771, 454, 2018, 2847, 318, 517, 815, 6936, 454, 2018, 1293, 815, 476, 271, 454, 2018, 1820, 27719, 333, 4840, 2018, 1376, 4590, 1038, 8640, 1985, 2652, 834, 7224, 257, 610, 1985, 2652, 834, 333, 2100, 257, 610, 1985, 2652, 834, 333, 257, 610, 834, 325, 3089, 257, 538, 1985, 912, 2018, 14827, 4590, 1038, 3116, 912, 2018, 1820, 834, 310, 520, 12482, 454, 3698, 1376, 7272, 668, 696, 10031, 825, 1820, 834, 2791, 2811, 538, 513, 1507, 3043, 4055, 4799, 825, 1820, 834, 2467, 616, 1100, 9486, 855, 621, 781, 1360, 6505, 4799, 825, 1820, 834, 2467, 781, 513, 18052, 602, 5012, 547, 519, 18109, 543, 513, 8559, 538, 519, 6989, 4799, 825, 1820, 834, 288, 2370, 13711, 536, 22324, 568, 562, 756, 17331, 593, 513, 19337, 3297, 596, 3010, 454, 3698, 1376, 10031, 825, 1376, 7272, 668, 696, 10797, 825, 1247, 6936, 912, 1038, 1985, 815, 6151, 17750, 2891, 285, 834, 1040, 12294, 10797, 1038, 952, 1985, 2652, 834, 1575, 257, 610, 1985, 2652, 834, 2998, 909, 257, 610, 834, 576, 4979, 257, 538, 1985, 610, 834, 549, 701, 257, 538, 1985, 912, 2018, 1820, 834, 2791, 18214, 519, 18052, 543, 616, 31953, 539, 16057, 269, 1422, 333, 4840, 2018, 2620, 318, 11898, 4590, 1038, 8640, 834, 6658, 257, 538, 1985, 610, 834, 23346, 257, 538, 1985, 610, 834, 28776, 257, 538, 1985, 912, 2018, 17895, 12386, 318, 3336, 4590, 1038, 8640, 834, 321, 22324, 257, 538, 1985, 912, 2018, 952, 834, 330, 1157, 257, 538, 1985, 912, 3546, 4666, 2891, 2791, 14736, 539, 519, 535, 31902, 536, 22324, 26142, 333, 32513, 13124, 286, 315, 333, 2005, 9428, 535, 836, 338, 543, 29826, 922, 4522, 883, 707, 1688, 23528, 2018, 8640, 834, 325, 3089, 257, 538, 1985, 912, 3546, 4666, 2891, 2791, 2731, 1175, 6836, 547, 535, 3089, 519, 536, 22324, 26142, 333, 2005, 535, 15085, 596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22373, 297, 10224, 2580, 834, 295, 1716, 652, 334, 2580, 834, 303, 7967, 572, 14765, 2580, 834, 10817, 650, 1069, 334, 31116, 2745, 2891, 17442, 5493, 629, 571, 11792, 2434, 320, 1965, 281, 14307, 11792, 9078, 1173, 320, 17338, 320, 4917, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 274, 281, 12974, 32057, 7272, 531, 629, 6652, 4590, 3698, 12974, 32057, 7272, 531, 629, 6652, 17338, 320, 267, 18085, 21059, 2187, 825, 1267, 5964, 815, 11713, 825, 585, 6221, 538, 30458, 912, 1038, 952, 7003, 263, 14403, 264, 2652, 18085, 21059, 912, 2018, 1267, 5964, 6910, 263, 14403, 994, 825, 2132, 1267, 5964, 692, 4289, 320, 815, 22373, 297, 10224, 2580, 834, 295, 1716, 652, 334, 2580, 834, 297, 846, 2580, 834, 307, 582, 328, 2580, 834, 303, 7967, 572, 14765, 2580, 834, 10817, 650, 1069, 334, 31116, 322, 656, 21059, 815, 703, 9272, 2891, 28808, 516, 572, 1714, 1003, 3266, 632, 1286, 716, 31013, 281, 27328, 2745, 2891, 299, 553, 5493, 629, 6652, 12974, 2784, 553, 5067, 281, 14307, 12974, 32057, 7272, 531, 629, 6652, 17338, 320, 267, 18085, 21059, 4917, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 275, 281, 1577, 6652, 8548, 599, 639, 1529, 553, 4590, 3698, 18085, 21059, 8548, 599, 639, 1529, 553, 6262, 611, 6511, 2187, 825, 18085, 21059, 815, 476, 271, 454, 825, 585, 6221, 538, 20017, 6511, 912, 1038, 952, 6221, 18994, 21639, 10031, 2018, 18085, 21059, 6834, 476, 272, 454, 825, 2132, 18085, 21059, 692, 322, 611, 6511, 815, 3403, 2891, 28808, 516, 572, 19448, 20017, 6511, 632, 1286, 716, 31013, 6446, 733, 1263, 320, 949, 639, 1529, 553, 281, 19515, 2745, 2891, 17442, 18085, 21059, 632, 949, 639, 1965, 281, 14307, 18085, 21059, 8548, 599, 639, 1529, 553, 6262, 611, 6511, 4917, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 276, 281, 10822, 9222, 19963, 318, 550, 3266, 4590, 3698, 10822, 9222, 19963, 318, 550, 3266, 16325, 3266, 2187, 825, 30458, 815, 1496, 842, 3287, 264, 585, 1535, 538, 1193, 16325, 3266, 22708, 825, 30458, 18622, 2091, 4590, 825, 1035, 636, 592, 11456, 815, 476, 271, 454, 825, 585, 6221, 538, 2039, 12759, 17338, 320, 15892, 1038, 952, 30458, 314, 14403, 316, 2652, 476, 272, 912, 2018, 1035, 636, 592, 11456, 6834, 476, 273, 2878, 6221, 454, 825, 2132, 1035, 636, 592, 11456, 692, 11133, 3266, 10734, 514, 9222, 815, 3403, 2891, 28808, 516, 572, 796, 1003, 3266, 10822, 9222, 281, 19515, 2745, 2891, 14976, 1003, 3266, 1303, 3266, 1965, 281, 14307, 10822, 9222, 19963, 318, 550, 3266, 16325, 3266, 10734, 514, 9222, 4917, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 277, 281, 2301, 320, 318, 539, 611, 4590, 3698, 3824, 25564, 5091, 520, 657, 6262, 656, 21059, 2187, 825, 3611, 657, 815, 31460, 825, 585, 6221, 538, 2039, 6262, 656, 21059, 2187, 1038, 9930, 3691, 815, 3403, 2891, 28808, 516, 572, 1714, 9930, 3691, 281, 19515, 1038, 606, 1470, 815, 703, 9272, 2891, 28808, 516, 572, 1714, 606, 1470, 632, 562, 659, 574, 1304, 334, 281, 27328, 1038, 3611, 657, 19559, 558, 3691, 316, 815, 606, 1470, 454, 825, 2132, 3611, 657, 692, 3698, 2301, 320, 318, 539, 611, 17338, 320, 267, 606, 1470, 318, 716, 783, 2187, 825, 585, 1535, 267, 586, 538, 30458, 29096, 10031, 1038, 1196, 611, 815, 606, 1470, 318, 716, 783, 910, 586, 454, 1038, 1820, 2891, 17442, 1196, 611, 632, 14307, 1535, 267, 834, 1965, 14307, 1196, 611, 2020, 534, 1470, 318, 716, 783, 815, 703, 9272, 2891, 28808, 516, 572, 1714, 606, 1470, 4890, 281, 27328, 333, 4861, 637, 815, 3824, 25564, 5091, 520, 657, 263, 274, 994, 20412, 320, 318, 539, 611, 3799, 4861, 637, 267, 606, 1470, 318, 716, 783, 994, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 278, 281, 1196, 3547, 5334, 10967, 1470, 637, 318, 736, 4590, 3698, 1196, 3547, 5334, 10967, 1470, 637, 318, 736, 17338, 320, 2187, 825, 18085, 21059, 815, 476, 271, 454, 825, 585, 6221, 538, 30458, 912, 1038, 952, 476, 1708, 273, 910, 6221, 3436, 476, 736, 912, 2018, 18085, 21059, 6834, 476, 272, 454, 825, 2132, 18085, 21059, 692, 3698, 3824, 25564, 5091, 520, 657, 6262, 656, 21059, 2187, 825, 8913, 680, 320, 318, 534, 3930, 815, 630, 994, 825, 585, 6221, 538, 2039, 6262, 656, 21059, 2187, 1038, 606, 1470, 815, 703, 9272, 6600, 257, 346, 14403, 18511, 16016, 516, 572, 1714, 606, 1470, 632, 562, 659, 574, 1304, 334, 281, 27328, 1038, 8913, 680, 320, 318, 534, 3930, 815, 8913, 680, 320, 318, 534, 3930, 1341, 630, 534, 1470, 267, 12467, 825, 2132, 8913, 680, 320, 318, 534, 3930, 692, 14654, 680, 320, 815, 3824, 25564, 5091, 520, 657, 263, 1015, 994, 2745, 2891, 17442, 18085, 21059, 632, 949, 2803, 6446, 476, 736, 1965, 281, 14307, 1196, 3547, 5334, 10967, 1470, 637, 318, 736, 6025, 340, 680, 320, 4917, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 279, 281, 12974, 549, 5332, 4861, 637, 4590, 3698, 12974, 549, 5332, 4861, 637, 17338, 320, 267, 1286, 1461, 2187, 825, 18085, 21059, 815, 476, 271, 454, 825, 585, 6221, 538, 30458, 912, 1038, 952, 1286, 1461, 538, 6221, 912, 2018, 18085, 21059, 6834, 476, 272, 454, 825, 2132, 18085, 21059, 692, 4289, 320, 815, 22373, 329, 846, 2580, 834, 9857, 534, 2580, 834, 335, 7967, 572, 14765, 2580, 834, 611, 686, 3570, 2580, 834, 326, 755, 822, 334, 31116, 8364, 1461, 815, 3403, 2891, 28808, 516, 572, 1714, 1286, 1461, 16948, 12974, 32057, 281, 19515, 2745, 2891, 295, 599, 14307, 12974, 549, 5332, 4861, 637, 17338, 320, 267, 1286, 1461, 1070, 834, 562, 4861, 637, 598, 27524, 334, 1286, 1461, 5602, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 280, 281, 733, 541, 318, 22106, 2297, 4590, 3698, 733, 541, 318, 22106, 2297, 9638, 531, 629, 571, 2187, 825, 546, 545, 318, 4186, 611, 2803, 815, 2715, 257, 320, 9899, 271, 267, 834, 324, 9899, 271, 267, 834, 328, 9899, 271, 267, 834, 334, 9899, 271, 267, 834, 340, 9899, 271, 8679, 825, 585, 6221, 538, 5493, 629, 571, 912, 1038, 6474, 6221, 31573, 10031, 2018, 2013, 1412, 320, 12466, 3546, 546, 545, 318, 4186, 611, 2803, 14277, 320, 19312, 815, 546, 545, 318, 4186, 611, 2803, 14277, 320, 19312, 1341, 476, 272, 454, 2018, 2013, 1412, 324, 12466, 3546, 546, 545, 318, 4186, 611, 2803, 14277, 324, 19312, 815, 546, 545, 318, 4186, 611, 2803, 14277, 324, 19312, 1341, 476, 272, 454, 2018, 2013, 1412, 328, 12466, 3546, 546, 545, 318, 4186, 611, 2803, 14277, 328, 19312, 815, 546, 545, 318, 4186, 611, 2803, 14277, 328, 19312, 1341, 476, 272, 454, 2018, 2013, 1412, 334, 12466, 3546, 546, 545, 318, 4186, 611, 2803, 14277, 334, 19312, 815, 546, 545, 318, 4186, 611, 2803, 14277, 334, 19312, 1341, 476, 272, 454, 2018, 2013, 1412, 340, 12466, 3546, 546, 545, 318, 4186, 611, 2803, 14277, 340, 19312, 815, 546, 545, 318, 4186, 611, 2803, 14277, 340, 19312, 1341, 476, 272, 454, 2018, 2013, 9041, 912, 3546, 1780, 454, 825, 2132, 546, 545, 318, 4186, 611, 2803, 692, 25659, 629, 571, 815, 3403, 2891, 28808, 516, 572, 19448, 5493, 629, 571, 281, 19515, 323, 545, 318, 14310, 15606, 815, 733, 541, 318, 22106, 2297, 9638, 531, 629, 571, 994, 1721, 1535, 267, 586, 538, 546, 545, 318, 14310, 15606, 29096, 10031, 825, 1820, 2891, 341, 5914, 281, 14307, 1535, 267, 834, 18085, 21059, 281, 14307, 586, 994, 20701, 18851, 672, 661, 329, 2075, 545, 1470, 476, 1015, 281, 1965, 10734, 529, 625, 1729, 4590, 3698, 1965, 10734, 529, 625, 1729, 263, 534, 1470, 2187, 825, 1267, 5964, 815, 7183, 454, 825, 952, 606, 1470, 4939, 476, 275, 2652, 476, 271, 543, 630, 2254, 630, 534, 1470, 4939, 476, 1911, 2652, 476, 271, 15892, 1038, 1267, 5964, 815, 6936, 454, 825, 8640, 606, 1470, 4939, 476, 6110, 2652, 476, 271, 912, 1038, 1267, 5964, 815, 6936, 454, 825, 3116, 912, 1038, 1267, 5964, 815, 8771, 454, 825, 2132, 1267, 5964, 692, 323, 6737, 815, 703, 9272, 2891, 28808, 516, 572, 1714, 606, 1470, 281, 27328, 604, 1965, 10734, 529, 625, 1729, 5560, 6737, 2187, 825, 1820, 2891, 534, 1470, 20312, 625, 1729, 5602, 12828, 912, 825, 1820, 2891, 534, 1470, 1100, 20312, 625, 1729, 5602, 18851, 0, 3698, 4570, 11456, 3799, 558, 3691, 2187, 825, 1286, 716, 31013, 291, 7371, 517, 17156, 815, 834, 11277, 27174, 4281, 280, 271, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 4840, 825, 585, 1286, 1461, 538, 9930, 3691, 912, 1038, 952, 711, 1286, 1461, 538, 1286, 716, 31013, 291, 7371, 517, 17156, 912, 2018, 2132, 6936, 454, 825, 2132, 8771, 454, 333, 558, 3691, 815, 3403, 2891, 28808, 516, 572, 1714, 9930, 3691, 1642, 721, 340, 9222, 281, 19515, 604, 7003, 3799, 558, 3691, 264, 2999, 476, 277, 912, 453, 13537, 2891, 14976, 9930, 3691, 1642, 721, 340, 9222, 632, 2041, 733, 10273, 620, 2367, 657, 476, 277, 1286, 716, 31013, 5602, 19197, 7003, 3799, 558, 3691, 264, 3436, 476, 1321, 912, 453, 13537, 2891, 14976, 9930, 3691, 1642, 721, 340, 9222, 1100, 533, 4240, 324, 733, 10273, 11792, 632, 476, 1321, 1286, 716, 31013, 5602, 19197, 4570, 11456, 3799, 558, 3691, 264, 2652, 6936, 912, 825, 1820, 2891, 14976, 9930, 3691, 1642, 721, 340, 9222, 632, 2041, 1583, 620, 325, 534, 10179, 4815, 4433, 23383, 1577, 6652, 586, 6746, 657, 264, 5602, 12828, 912, 825, 1820, 2891, 301, 558, 3691, 632, 721, 340, 9222, 4570, 334, 256, 8442, 0, 5814, 19523, 454, 5814, 2415, 27785, 692, 3698, 1205, 318, 16911, 3890, 1384, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 6889, 1873, 777, 1412, 286, 262, 547, 1412, 271, 262, 538, 1449, 17902, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 10594, 18316, 2580, 948, 6889, 12803, 602, 991, 547, 581, 3341, 665, 612, 539, 5602, 825, 16163, 518, 14491, 318, 30348, 2891, 16059, 18316, 2580, 948, 6889, 1492, 2012, 540, 3977, 3758, 5602, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 825, 2132, 26571, 7531, 604, 630, 1029, 4067, 1029, 2652, 21507, 10852, 1029, 10807, 1384, 825, 26571, 815, 1205, 318, 16911, 10797, 825, 667, 815, 11713, 825, 609, 1930, 263, 16911, 269, 10594, 18316, 267, 1412, 337, 10807, 607, 535, 912, 1038, 585, 1899, 538, 535, 912, 2018, 21797, 815, 1899, 21858, 4590, 2018, 667, 6910, 6025, 758, 839, 2020, 825, 609, 1930, 263, 16911, 269, 16059, 18316, 267, 1412, 342, 10807, 607, 535, 912, 1038, 585, 21797, 538, 667, 912, 2018, 535, 22182, 3488, 346, 271, 348, 2715, 272, 348, 2715, 273, 4153, 333, 8339, 8971, 6025, 758, 839, 314, 271, 3910, 21797, 314, 272, 3910, 476, 271, 264, 9239, 0, 5814, 942, 454, 258, 423, 480, 502, 14602, 502, 10563, 489, 506, 32174, 482, 32174, 494, 32174, 479, 14602, 482, 10563, 499, 490, 424, 499, 482, 423, 367, 368, 32629, 498, 10563, 502, 486, 32510, 506, 454, 6358, 2891, 29306, 498, 425, 482, 364, 423, 354, 376, 14091, 486, 482, 423, 354, 368, 422, 367, 510, 14091, 356, 486, 14602, 490, 10563, 484, 491, 424, 506, 376, 423, 350, 506, 476, 1015, 423, 354, 376, 10563, 483, 487, 21498, 486, 30319, 23528, 11034, 284, 5503, 28333, 10797, 6358, 2891, 1015, 424, 368, 486, 29030, 505, 482, 29306, 494, 14091, 489, 353, 424, 489, 506, 10563, 501, 498, 425, 482, 364, 423, 354, 376, 14091, 486, 490, 423, 509, 361, 424, 352, 376, 424, 482, 372, 424, 504, 498, 23528, 754, 284, 5503, 28333, 10797, 18528, 284, 754, 3613, 691, 454, 2745, 2891, 424, 489, 353, 32510, 506, 10563, 489, 506, 32174, 482, 24333, 18528, 2437, 424, 368, 486, 5602, 2745, 2891, 424, 364, 357, 27338, 24333, 11274, 5560, 858, 268, 1015, 1070, 257, 424, 368, 486, 8442, 0, 18411, 17276, 493, 496, 29219, 418, 509, 354, 19867, 378, 15159, 21550, 373, 29004, 362, 28884, 418, 509, 354, 19867, 378, 7511, 10429, 367, 421, 498, 362, 21211, 4486, 4970, 492, 418, 509, 354, 19867, 378, 23989, 18809, 31006, 27962, 31006, 16533, 493, 18777, 364, 25051, 499, 7511, 10429, 367, 421, 498, 362, 21211, 30006, 498, 20001, 481, 12571, 492, 7511, 17276, 509, 354, 19867, 378, 25913, 25622, 8147, 454, 476, 10429, 370, 21550, 372, 417, 379, 481, 16533, 365, 21928, 30678, 418, 493, 496, 29219, 7511, 18777, 350, 28997 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17262, 404, 360, 476, 30764, 407, 496, 476, 12022, 404, 374, 15906, 17262, 27755, 28257, 14180, 17262, 12168, 362, 24220, 14507, 476, 30764, 407, 496, 476, 407, 479, 17262, 406, 374, 407, 498, 454, 407, 371, 407, 372, 12168, 511, 8294, 25078, 21333, 18457, 405, 378, 14180, 17262, 12168, 357, 406, 378, 406, 495, 30764, 8294, 404, 355, 17262, 476, 407, 479, 15906, 404, 355, 17262, 12168, 351, 406, 363, 27755, 17262, 406, 374, 12168, 362, 15906, 21333, 12168, 361, 12022, 20254, 8294, 476, 407, 479, 407, 496, 407, 498, 454, 407, 372, 407, 372, 27755, 28257, 12022, 14534, 476, 30764, 17262, 12168, 511, 17262, 404, 360, 17262, 20254, 12168, 373, 12022, 14534, 476, 30764, 17262, 12168, 357, 8294, 14507, 404, 368, 476, 30764, 17262, 12168, 367, 17262, 476, 407, 479, 15906, 20254, 17262, 476, 407, 479, 407, 496, 407, 498, 454, 407, 373, 407, 372, 12168, 351, 14180, 404, 511, 404, 370, 14507, 20254, 427, 371, 374, 476, 30764, 407, 496, 476, 28405, 15906, 12022, 18457, 15906, 14507, 476, 28519, 28257, 12022, 476, 30764, 15906, 18457, 404, 369, 404, 371, 12022, 8294, 404, 511, 27755, 17262, 406, 374, 12168, 511, 21333, 17262, 404, 360, 476, 28405, 15906, 12022, 17262, 18457, 15906, 14507, 12168, 511, 21333, 17262, 404, 360, 476, 28519, 28257, 12022, 17262, 476, 30764, 407, 479, 20254, 407, 496, 476, 407, 479, 17262, 406, 374, 407, 498, 454, 407, 364, 407, 373, 476, 14180, 14534, 8294, 404, 366, 12168, 367, 14180, 476, 407, 366, 407, 479, 404, 361, 14507, 17262, 27755, 17262, 406, 374, 476, 28519, 14507, 404, 370, 476, 407, 479, 15906, 404, 355, 17262, 407, 498, 454, 407, 365, 407, 373, 12168, 359, 15906, 404, 511, 17262, 21333, 12168, 359, 14534, 8294, 14534, 12168, 373, 28405, 8294, 404, 355, 21333, 476, 30764, 17262, 12168, 365, 15906, 404, 511, 476, 407, 479, 407, 496, 407, 498, 454, 407, 366, 407, 373, 12168, 367, 404, 361, 21333, 407, 479, 12168, 359, 12022, 8294, 15906, 20254, 476, 30764, 17262, 476, 30764, 12022, 12168, 359, 28257, 21333, 8294, 21333, 407, 368, 407, 365, 407, 479, 407, 496, 407, 498, 454, 407, 367, 407, 373, 476, 405, 378, 407, 479, 12022, 17262, 476, 15906, 404, 511, 17262, 476, 30764, 8294, 476, 405, 378, 407, 479, 12022, 8294, 476, 12022, 28519, 404, 372, 18457, 28405, 14507, 8294, 476, 407, 479, 407, 496, 407, 498, 454, 407, 368, 407, 373, 18457, 28257, 14534, 8294, 12022, 476, 30764, 17262, 12168, 357, 14180, 17262, 8294, 21333, 18457, 17262, 14534, 8294, 14180, 476, 405, 378, 14507, 476, 407, 479, 407, 496, 407, 498, 454, 407, 369, 407, 373, 12168, 363, 17262, 14180, 18457, 25078, 12022, 8294, 14534, 18457, 17262, 14534, 8294, 14180, 18457, 15906, 14507, 12168, 373, 14534, 12022, 12168, 369, 8294, 12022, 404, 511, 476, 30764, 8294, 27755, 404, 361, 14534, 15906, 28257, 407, 479, 476, 407, 479, 407, 496, 407, 498, 454, 407, 370, 407, 373, 12168, 373, 24220, 8294, 21333, 20254, 476, 30764, 17262, 476, 28405, 24220, 15906, 12022, 17262, 20254, 476, 30764, 407, 496, 476, 12022, 404, 355, 407, 496, 12168, 363, 28257, 8294, 476, 30764, 15906, 476, 12022, 8294, 404, 366, 14534, 17262, 476, 28405, 14507, 8294, 14507, 12168, 363, 17262, 8294, 476, 406, 363, 17262, 8294, 476, 407, 479, 407, 496, 407, 498, 454, 407, 371, 407, 373, 18457, 25078, 12022, 8294, 14534, 476, 30764, 407, 496, 476, 12022, 404, 374, 15906, 17262, 27755, 28257, 14180, 17262, 476, 406, 363, 14507, 21333, 14180, 12168, 361, 406, 378, 30764, 8294, 14180, 407, 496, 476, 30764, 407, 496, 476, 407, 479, 17262, 406, 374, 407, 498, 454, 407, 372, 407, 373, 12168, 369, 12022, 407, 479, 12168, 365, 404, 511, 14534, 17262, 12168, 367, 407, 496, 27755, 14507, 8294, 21333, 12168, 365, 404, 368, 20254, 407, 479, 12168, 363, 8294, 14507, 15906, 406, 374, 12168, 367, 407, 496, 12168, 511, 25078, 14180, 12168, 367, 12022, 15906, 30764, 476, 407, 479, 407, 496, 407, 498, 454, 407, 373, 407, 373, 12168, 359, 30764, 24220, 14507, 476, 30764, 14507, 14180, 407, 496, 476, 15906, 8294, 12022, 8294, 12168, 363, 15906, 25078, 14507, 15906, 406, 374, 476, 30764, 15906, 12168, 511, 28405, 17262, 14507, 12168, 367, 14534, 404, 361, 406, 378, 20254, 8294, 476, 407, 479, 407, 496, 407, 498, 454, 407, 364, 407, 364, 407, 365, 24291, 12022, 407, 479, 12168, 359, 28257, 8294, 12022, 17262, 476, 30764, 17262, 12168, 373, 24220, 8294, 21333, 20254, 476, 30764, 407, 496, 12168, 357, 28257, 21333, 12168, 365, 25078, 15906, 12022, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 476, 30764, 17262, 18457, 404, 371, 8294, 28257, 20254, 476, 28519, 14507, 404, 370, 476, 407, 479, 407, 496, 407, 498, 692, 14534, 404, 362, 20254, 404, 369, 14507, 12168, 367, 15906, 8294, 12022, 476, 15906, 12168, 361, 15906, 8294, 24220, 692, 25078, 15906, 8294, 12022, 407, 365, 12168, 373, 14534, 12022, 30234, 12168, 369, 8294, 12022, 404, 511, 476, 30764, 17262, 12168, 359, 17262, 14180, 18457, 28405, 25078, 8294, 14534, 12168, 357, 17262, 8294, 14180, 476, 30764, 17262, 404, 361, 404, 355, 407, 496, 407, 498, 454, 404, 361, 15906, 8294, 24220, 12168, 373, 14534, 12022, 30234, 12168, 369, 8294, 12022, 404, 511, 476, 30764, 17262, 12168, 359, 17262, 14180, 18457, 28405, 25078, 8294, 14534, 476, 17262, 407, 479, 476, 407, 479, 17262, 406, 374, 912, 1892, 27755, 28257, 8294, 14534, 12022, 8294, 20254, 454, 1892, 12168, 373, 24220, 8294, 21333, 8294, 20254, 454, 1892, 18457, 404, 362, 12022, 8294, 28405, 17262, 8294, 20254, 454, 25078, 15906, 8294, 12022, 407, 366, 12168, 368, 14507, 30764, 476, 30764, 17262, 18457, 28405, 25078, 8294, 14534, 12168, 357, 17262, 8294, 14180, 476, 30764, 17262, 404, 361, 404, 355, 407, 496, 407, 498, 454, 404, 361, 15906, 8294, 24220, 12168, 368, 14507, 30764, 476, 30764, 17262, 12168, 359, 17262, 14180, 18457, 28405, 25078, 8294, 14534, 476, 17262, 407, 479, 476, 407, 479, 17262, 406, 374, 912, 1892, 24291, 12022, 407, 479, 12168, 359, 28257, 8294, 12022, 17262, 476, 30764, 17262, 12168, 364, 8294, 20254, 27755, 17262, 406, 374, 12168, 368, 14507, 30764, 454, 1892, 24291, 12022, 407, 479, 12168, 359, 28257, 8294, 12022, 17262, 476, 30764, 17262, 12168, 369, 28519, 8294, 20254, 27755, 17262, 406, 374, 12168, 368, 14507, 30764, 454, 1892, 24291, 12022, 407, 479, 12168, 359, 28257, 8294, 12022, 17262, 12168, 369, 28519, 8294, 20254, 476, 30764, 407, 496, 12168, 359, 28405, 8294, 404, 370, 15906, 406, 374, 27755, 17262, 406, 374, 12168, 368, 14507, 30764, 454, 25078, 15906, 8294, 12022, 407, 367, 12168, 361, 407, 479, 8294, 21333, 476, 30764, 17262, 18457, 28405, 25078, 8294, 14534, 12168, 357, 17262, 8294, 14180, 476, 30764, 17262, 404, 361, 404, 355, 407, 496, 407, 498, 454, 404, 361, 15906, 8294, 24220, 12168, 361, 407, 479, 8294, 21333, 476, 30764, 17262, 476, 406, 484, 8294, 14507, 18457, 28405, 25078, 8294, 14534, 476, 407, 479, 17262, 406, 374, 912, 1892, 12168, 361, 407, 479, 8294, 21333, 12168, 357, 8294, 12022, 14534, 8294, 12022, 454, 1892, 12168, 361, 407, 479, 8294, 21333, 12168, 357, 8294, 12022, 25078, 17262, 28519, 454, 1892, 12168, 361, 407, 479, 8294, 21333, 12168, 357, 8294, 12022, 14180, 28519, 25078, 454, 1892, 12168, 361, 407, 479, 8294, 21333, 12168, 357, 8294, 12022, 28405, 12022, 14534, 1315, 12168, 361, 407, 479, 8294, 21333, 12168, 357, 8294, 12022, 28257, 12022, 14534, 454, 25078, 15906, 8294, 12022, 407, 368, 27755, 30764, 17262, 12168, 369, 15906, 14507, 20254, 15906, 406, 374, 476, 30764, 17262, 12168, 362, 404, 369, 15906, 404, 369, 17262, 8294, 20254, 12168, 357, 17262, 8294, 14180, 476, 30764, 17262, 404, 361, 404, 355, 407, 496, 407, 498, 454, 404, 361, 15906, 8294, 24220, 27755, 30764, 17262, 12168, 369, 15906, 14507, 20254, 15906, 406, 374, 476, 30764, 17262, 12168, 362, 404, 369, 15906, 404, 369, 17262, 8294, 20254, 12168, 364, 17262, 12022, 27755, 17262, 406, 374, 12168, 363, 14507, 404, 361, 476, 407, 479, 17262, 406, 374, 912, 1892, 27755, 30764, 407, 479, 27755, 17262, 406, 374, 12168, 361, 15906, 12168, 369, 15906, 14507, 20254, 17262, 406, 374, 476, 14180, 8294, 404, 366, 12022, 476, 407, 479, 15906, 404, 355, 17262, 406, 374, 476, 15906, 407, 479, 12168, 366, 17262, 8294, 21333, 407, 479, 12168, 359, 14507, 18457, 404, 369, 15906, 12022, 15906, 406, 374, 18457, 15906, 14507, 476, 30764, 12022, 17262, 8294, 20254, 30234, 12168, 363, 17262, 14180, 476, 30764, 407, 496, 12168, 357, 8294, 14507, 407, 496, 27755, 17262, 406, 374, 476, 407, 479, 17262, 406, 374, 407, 498, 454, 1892, 18457, 14180, 27755, 17262, 406, 374, 12168, 359, 15906, 404, 511, 17262, 21333, 404, 490, 12168, 365, 25078, 8294, 12022, 20254, 18457, 15906, 14507, 12168, 351, 404, 362, 14507, 20254, 12168, 361, 17262, 25078, 407, 496, 12168, 357, 14180, 17262, 8294, 21333, 17262, 12168, 373, 28405, 8294, 404, 355, 21333, 476, 405, 378, 14507, 12168, 366, 15906, 14507, 12168, 363, 17262, 8294, 476, 406, 363, 17262, 8294, 476, 407, 479, 407, 496, 407, 498, 454, 1892, 18457, 14180, 27755, 17262, 406, 374, 12168, 373, 24220, 14507, 20254, 476, 15906, 476, 14180, 404, 369, 17262, 404, 511, 20254, 476, 30764, 407, 496, 476, 15906, 8294, 404, 370, 404, 511, 476, 14180, 404, 368, 8294, 14180, 8294, 20254, 27755, 15906, 404, 361, 15906, 21333, 476, 407, 479, 17262, 406, 374, 407, 498, 454, 1892, 12168, 351, 404, 362, 14507, 20254, 18457, 15906, 14507, 27755, 15906, 20254, 476, 30764, 407, 496, 12168, 357, 28257, 21333, 476, 30764, 17262, 12168, 366, 14180, 21333, 406, 363, 17262, 476, 30764, 15906, 12168, 364, 407, 479, 14180, 476, 14180, 404, 368, 17262, 14180, 476, 30764, 14507, 14180, 407, 496, 476, 30764, 407, 496, 476, 12022, 404, 355, 407, 496, 476, 14180, 407, 479, 8294, 17262, 20254, 27755, 15906, 404, 360, 14507, 18457, 14180, 21333, 8294, 404, 366, 18457, 404, 362, 20254, 17262, 8294, 14507, 476, 30764, 17262, 8294, 476, 406, 363, 17262, 8294, 476, 407, 479, 407, 496, 407, 498, 454, 25078, 15906, 8294, 12022, 407, 369, 12168, 369, 404, 511, 8294, 404, 511, 12168, 367, 20254, 407, 479, 476, 30764, 407, 496, 476, 14180, 8294, 14534, 476, 12022, 30764, 406, 378, 404, 355, 407, 496, 407, 498, 454, 404, 361, 15906, 8294, 24220, 912, 1892, 12168, 369, 404, 511, 17262, 404, 511, 12168, 357, 404, 362, 8294, 14507, 17262, 454, 1892, 12168, 369, 404, 511, 17262, 404, 511, 27755, 25078, 12022, 14534, 454, 1892, 12168, 367, 14180, 14180, 18457, 24220, 17262, 12168, 363, 8294, 15906, 21333, 454, 1892, 12168, 367, 14180, 14180, 18457, 24220, 14180, 30234, 27755, 8294, 404, 361, 407, 479, 454, 1892, 12168, 361, 8294, 14534, 28257, 24291, 20254, 14507, 14534, 404, 364, 17262, 454, 1892, 12168, 367, 14180, 14180, 18457, 14180, 25078, 8294, 404, 355, 17262, 454, 25078, 15906, 8294, 12022, 407, 370, 12168, 366, 30764, 15906, 29756, 476, 30764, 407, 496, 27755, 404, 369, 8294, 14507, 28519, 12168, 357, 17262, 8294, 14180, 476, 30764, 17262, 404, 361, 404, 355, 407, 496, 407, 498, 454, 404, 361, 15906, 8294, 24220, 12168, 366, 30764, 15906, 29756, 476, 30764, 407, 496, 27755, 404, 369, 8294, 14507, 28519, 476, 17262, 407, 479, 476, 407, 479, 17262, 406, 374, 912, 1892, 476, 28519, 28405, 14507, 8294, 404, 355, 454, 1892, 27755, 25078, 8294, 30764, 17262, 14180, 454, 1892, 12168, 373, 8294, 404, 366, 14534, 17262, 14180, 454, 1892, 12168, 365, 28405, 8294, 24220, 454, 1892, 27755, 25078, 8294, 28519, 14507, 454, 25078, 15906, 8294, 12022, 407, 371, 476, 30764, 12022, 14534, 407, 479, 12168, 371, 17262, 24220, 407, 479, 18457, 15906, 14507, 18457, 25078, 476, 30764, 8294, 12168, 359, 14507, 404, 361, 14534, 407, 479, 476, 12022, 30764, 406, 378, 404, 355, 407, 496, 407, 498, 454, 404, 361, 15906, 8294, 24220, 454, 1892, 12168, 359, 14507, 404, 361, 14534, 407, 479, 281, 476, 14180, 407, 479, 17262, 406, 374, 12168, 367, 15906, 8294, 404, 355, 407, 496, 24291, 12022, 407, 479, 476, 30764, 407, 496, 476, 30764, 15906, 404, 355, 17262, 27755, 28257, 24220, 15906, 21333, 18457, 15906, 14507, 27755, 404, 511, 14534, 21333, 12168, 369, 12022, 17262, 24291, 12022, 407, 479, 12168, 373, 12022, 17262, 407, 479, 476, 15906, 25078, 12022, 14534, 18457, 25078, 476, 30764, 407, 496, 12168, 365, 25078, 15906, 12022, 476, 407, 479, 17262, 406, 374, 407, 498, 454, 25078, 15906, 8294, 12022, 407, 372, 12168, 511, 24220, 12168, 365, 25078, 15906, 12022, 24291, 12022, 407, 479, 12168 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 325, 756, 3149, 636, 815, 11713, 325, 7441, 815, 11713, 3698, 4017, 20906, 17347, 2187, 825, 4017, 272, 267, 4017, 273, 815, 476, 271, 267, 476, 272, 454, 825, 585, 1775, 538, 2039, 17347, 2187, 1038, 4017, 272, 267, 4017, 273, 815, 4017, 273, 267, 4017, 272, 266, 325, 756, 273, 454, 1038, 4017, 3149, 636, 6910, 6600, 756, 272, 994, 1038, 4017, 331, 6910, 6600, 756, 272, 994, 825, 2132, 4017, 272, 454, 825, 2132, 2040, 6600, 756, 3149, 636, 994, 825, 2132, 4017, 331, 692, 330, 815, 703, 9272, 2891, 20597, 337, 643, 538, 2357, 323, 1329, 21266, 737, 3541, 737, 2144, 1033, 737, 1405, 324, 5657, 2280, 1775, 4017, 517, 3147, 1047, 330, 26223, 523, 26142, 333, 27363, 2745, 19629, 333, 14826, 346, 272, 348, 2144, 4017, 517, 3147, 1388, 2280, 562, 18033, 337, 737, 815, 2715, 271, 20467, 315, 333, 11764, 5443, 1285, 2715, 271, 348, 4017, 517, 3147, 527, 718, 2144, 2715, 273, 20467, 315, 333, 291, 8291, 2144, 679, 1592, 324, 1474, 538, 9383, 644, 19907, 2715, 271, 348, 4017, 517, 3147, 527, 718, 1422, 333, 346, 274, 348, 2668, 8971, 17347, 267, 4017, 20906, 17347, 1070, 2040, 6600, 756, 3149, 636, 1070, 4017, 331, 4917, 0, 454, 19689, 17058, 815, 13634, 257, 2420, 18051, 9899, 22373, 299, 1513, 2580, 834, 13043, 5362, 257, 16689, 257, 1015, 964, 9899, 834, 4432, 548, 834, 2676, 257, 1789, 522, 19241, 9899, 22373, 19723, 517, 3821, 2580, 834, 305, 2317, 257, 16689, 257, 1321, 23891, 9899, 834, 22068, 16660, 20350, 257, 4029, 522, 19241, 9899, 834, 310, 11035, 20350, 257, 279, 15567, 9899, 22373, 289, 14141, 2580, 834, 383, 502, 344, 7322, 257, 16689, 257, 272, 2261, 9899, 834, 301, 2088, 4840, 10926, 258, 5417, 10734, 9500, 1485, 15461, 5091, 622, 9497, 1321, 23891, 2580, 834, 306, 785, 516, 15419, 3698, 1039, 10734, 9500, 1485, 15461, 5091, 622, 5560, 622, 267, 2012, 2187, 825, 593, 523, 3139, 622, 815, 11713, 825, 2119, 912, 1038, 4332, 17058, 314, 11845, 4940, 6572, 28442, 994, 825, 4849, 5900, 25572, 13286, 912, 1038, 585, 1775, 538, 4332, 17058, 314, 11845, 14158, 2018, 593, 523, 3139, 622, 6910, 9217, 994, 1038, 4332, 17058, 314, 11845, 316, 815, 11713, 1038, 4332, 17058, 314, 11845, 4940, 6572, 28442, 994, 1038, 4332, 17058, 314, 11845, 4940, 6572, 2891, 2668, 21860, 263, 517, 523, 3139, 622, 4917, 825, 4849, 6206, 13286, 912, 1038, 4332, 17058, 314, 11845, 316, 815, 11713, 1038, 4332, 17058, 314, 11845, 4940, 6572, 28442, 2020, 2745, 2891, 301, 18033, 337, 5918, 2144, 7542, 21745, 267, 1236, 337, 643, 1412, 2536, 21745, 262, 5602, 6112, 6936, 912, 825, 536, 2720, 323, 4711, 321, 7568, 815, 3403, 2891, 295, 557, 332, 3771, 536, 2720, 323, 698, 286, 5602, 825, 952, 536, 2720, 323, 4711, 321, 7568, 31573, 3890, 2652, 834, 2536, 21745, 13426, 1038, 2736, 454, 825, 536, 2720, 323, 698, 815, 3403, 2891, 301, 18033, 337, 3771, 1268, 523, 536, 2720, 323, 698, 286, 5602, 825, 952, 536, 2720, 323, 698, 31573, 3890, 2652, 834, 2536, 21745, 13426, 1038, 2736, 454, 825, 1039, 10734, 9500, 1485, 15461, 5091, 622, 6357, 2720, 323, 698, 267, 536, 2720, 323, 4711, 321, 7568, 2020, 2745, 6357, 9500, 17058, 994, 0, 343, 815, 476, 276, 454, 344, 815, 476, 279, 454, 3698, 1292, 630, 2187, 825, 1535, 815, 476, 278, 454, 825, 586, 815, 476, 274, 454, 825, 1820, 9497, 328, 1292, 2433, 2580, 1535, 267, 586, 994, 825, 23396, 630, 343, 11971, 994, 825, 1820, 9497, 328, 1292, 2433, 2580, 1535, 267, 586, 994, 825, 1820, 6921, 984, 1023, 630, 994, 825, 1820, 9497, 328, 1292, 2433, 2580, 1535, 267, 586, 994, 3698, 23396, 630, 343, 267, 586, 2187, 825, 1535, 11971, 815, 586, 21726, 1948, 5124, 2468, 802, 585, 3331, 354, 676, 12076, 9631, 547, 1083, 629, 2401, 4586, 825, 1820, 9497, 4534, 15010, 1775, 23396, 2433, 2580, 1535, 267, 586, 994, 3698, 1820, 6921, 984, 1023, 630, 2187, 825, 1820, 9497, 4534, 15010, 1775, 1820, 6921, 984, 1023, 2433, 2580, 1535, 267, 586, 2020, 10852, 630, 2020, 258, 1775, 1292, 281, 476, 278, 476, 274, 454, 258, 4534, 15010, 1775, 23396, 281, 476, 274, 476, 278, 454, 258, 1775, 1292, 281, 476, 278, 476, 274, 454, 258, 4534, 15010, 1775, 1820, 6921, 984, 1023, 2433, 476, 276, 476, 279, 454, 258, 1775, 1292, 2433, 476, 278, 476, 274, 454, 0, 339, 4289, 272, 815, 11713, 1721, 1775, 538, 2039, 263, 271, 267, 476, 1428, 2187, 825, 512, 4289, 272, 6910, 9217, 994, 344, 815, 476, 279, 454, 332, 785, 2240, 333, 815, 11713, 560, 21417, 337, 2240, 333, 815, 29129, 692, 3698, 694, 704, 622, 3799, 13246, 267, 512, 11611, 2567, 825, 1948, 325, 16218, 329, 517, 1474, 13545, 538, 547, 4661, 518, 454, 825, 585, 1775, 538, 2338, 281, 25639, 1948, 338, 329, 2131, 12027, 10246, 3693, 2940, 1775, 6432, 2338, 454, 1038, 952, 1775, 2999, 512, 11611, 281, 2018, 1948, 327, 6665, 3693, 2940, 2144, 2247, 516, 679, 333, 4661, 564, 512, 11611, 454, 2018, 2247, 2240, 333, 6910, 9217, 264, 672, 1948, 548, 1375, 518, 632, 3693, 2940, 7961, 1775, 679, 1592, 324, 1474, 10636, 2247, 2240, 333, 454, 1038, 952, 1775, 13843, 512, 11611, 281, 19930, 1948, 327, 643, 338, 3693, 2940, 2144, 588, 21417, 337, 516, 679, 333, 14248, 518, 6010, 4661, 564, 512, 11611, 454, 2018, 588, 21417, 337, 2240, 333, 6910, 9217, 264, 672, 1948, 548, 1375, 518, 632, 3693, 2940, 7961, 1775, 679, 561, 1047, 1474, 10636, 588, 21417, 337, 2240, 333, 454, 825, 2132, 2247, 2240, 333, 267, 588, 21417, 337, 2240, 333, 672, 1948, 8873, 19907, 632, 547, 1592, 2940, 692, 3698, 8691, 4671, 762, 3799, 2567, 4449, 3546, 1948, 325, 16218, 329, 517, 1474, 13545, 7961, 1696, 339, 4661, 454, 825, 575, 339, 629, 749, 815, 20886, 271, 585, 1535, 538, 2039, 3799, 13580, 585, 586, 538, 2039, 3799, 13580, 672, 1948, 331, 4526, 679, 1592, 324, 1199, 7381, 2940, 562, 14275, 518, 1775, 5302, 1421, 522, 326, 521, 18033, 12750, 529, 19907, 3954, 1199, 1884, 718, 562, 454, 825, 575, 339, 718, 815, 476, 272, 14030, 25639, 1948, 2145, 2280, 812, 544, 18033, 575, 1052, 1199, 454, 825, 585, 1535, 538, 2039, 3799, 2567, 14030, 8587, 1948, 585, 554, 591, 1535, 2357, 10972, 1775, 2039, 630, 271, 267, 562, 2187, 1038, 585, 586, 538, 2039, 3799, 2567, 14030, 476, 1948, 585, 554, 591, 586, 2357, 10972, 1775, 2039, 630, 271, 267, 562, 2187, 2018, 575, 339, 629, 749, 20572, 6012, 344, 316, 815, 630, 344, 266, 272, 12684, 25885, 718, 4449, 672, 1948, 543, 516, 621, 10327, 329, 517, 281, 1775, 6432, 575, 339, 629, 749, 1496, 272, 6012, 273, 316, 815, 476, 272, 266, 272, 2608, 476, 272, 815, 476, 273, 269, 15281, 29868, 621, 10327, 329, 517, 281, 1775, 6432, 575, 339, 629, 749, 314, 274, 6012, 274, 316, 562, 18033, 337, 562, 815, 476, 274, 269, 815, 476, 273, 266, 272, 2608, 476, 274, 815, 476, 280, 563, 1038, 575, 339, 718, 6834, 476, 272, 14030, 16875, 1948, 333, 18033, 337, 812, 2144, 7542, 21745, 1199, 535, 21417, 337, 4614, 1592, 324, 267, 521, 18033, 682, 1375, 518, 812, 21266, 476, 272, 1775, 575, 339, 718, 585, 3331, 354, 575, 18033, 21266, 543, 516, 575, 9734, 630, 339, 1042, 16660, 267, 7542, 323, 16660, 14228, 523, 522, 12364, 8094, 825, 2132, 575, 339, 629, 749, 19638, 2745, 263, 572, 704, 622, 6025, 4289, 272, 267, 586, 4297, 16875, 1948, 1440, 5793, 476, 273, 561, 3563, 2247, 2240, 333, 522, 326, 588, 21417, 337, 2240, 333, 692, 1721, 1775, 538, 8691, 4671, 762, 263, 1015, 2567, 476, 1948, 454, 825, 1820, 630, 328, 264, 4449, 11434, 1948, 17002, 1592, 2940, 533, 18033, 679, 4050, 544, 18033, 974, 563, 0, 5228, 28184, 5793, 1104, 2608, 7531, 3698, 1039, 16216, 1203, 2187, 825, 14805, 663, 272, 815, 10581, 263, 18782, 272, 10947, 15405, 825, 14805, 663, 273, 815, 10581, 263, 18782, 273, 10947, 15405, 825, 1267, 299, 8475, 9131, 3667, 11172, 815, 14805, 663, 272, 1341, 14805, 663, 273, 7531, 3698, 9062, 16216, 1203, 2187, 825, 3818, 2364, 663, 815, 10581, 263, 18782, 272, 10947, 15405, 825, 12750, 1512, 815, 10581, 263, 18782, 273, 10947, 15405, 825, 1267, 299, 8475, 9131, 3667, 11172, 815, 3818, 2364, 663, 2608, 12750, 1512, 7531, 3698, 10208, 16216, 1203, 2187, 825, 1295, 340, 754, 815, 10581, 263, 18782, 272, 10947, 15405, 825, 5705, 571, 9150, 815, 10581, 263, 18782, 273, 10947, 15405, 825, 1267, 299, 8475, 9131, 3667, 11172, 815, 1295, 340, 754, 910, 5705, 571, 9150, 7531, 3698, 7941, 16216, 1203, 2187, 825, 26318, 815, 10581, 263, 18782, 272, 10947, 15405, 825, 27708, 815, 10581, 263, 18782, 273, 10947, 15405, 825, 1267, 299, 8475, 9131, 3667, 11172, 815, 26318, 1315, 27708, 7531, 258, 3616, 25730, 454, 10174, 815, 570, 330, 4590, 6358, 28343, 815, 31108, 20172, 994, 14310, 28343, 815, 31108, 20172, 994, 18782, 272, 815, 28678, 9272, 28343, 267, 8700, 284, 736, 994, 18782, 273, 815, 28678, 9272, 28343, 267, 8700, 284, 736, 994, 20123, 3719, 2023, 815, 29502, 9272, 28343, 267, 1257, 8782, 265, 3299, 8700, 284, 276, 994, 20123, 3719, 2023, 12500, 785, 3488, 283, 3719, 2023, 268, 272, 285, 3299, 9062, 994, 5417, 3719, 2023, 815, 29502, 9272, 28343, 267, 1257, 8782, 266, 3299, 8700, 284, 276, 994, 5417, 3719, 2023, 12500, 785, 3488, 283, 3719, 2023, 268, 272, 285, 3299, 1039, 994, 11357, 13700, 3719, 2023, 815, 29502, 9272, 28343, 267, 1257, 8782, 268, 3299, 8700, 284, 276, 994, 11357, 13700, 3719, 2023, 12500, 785, 3488, 283, 3719, 2023, 268, 272, 285, 3299, 10208, 994, 15965, 3719, 2023, 815, 29502, 9272, 28343, 267, 1257, 8782, 270, 3299, 8700, 284, 276, 994, 15965, 3719, 2023, 12500, 785, 3488, 283, 3719, 2023, 268, 272, 285, 3299, 7941, 994, 14310, 299, 8475, 815, 22443, 31114, 28343, 267, 8700, 284, 736, 2020, 258, 24386, 909, 454, 6358, 28343, 4877, 871, 4590, 18782, 272, 4877, 871, 4590, 18782, 273, 4877, 871, 4590, 20123, 3719, 2023, 4877, 871, 263, 2515, 284, 4041, 10499, 994, 5417, 3719, 2023, 4877, 871, 263, 2515, 284, 4041, 10499, 994, 11357, 13700, 3719, 2023, 4877, 871, 263, 2515, 284, 4041, 10499, 994, 15965, 3719, 2023, 4877, 871, 263, 2515, 284, 4041, 10499, 994, 14310, 28343, 4877, 871, 263, 2515, 284, 289, 5588, 307, 6865, 994, 14310, 299, 8475, 4877, 871, 263, 2515, 284, 289, 5588, 307, 6865, 2020, 258, 4358, 454, 10174, 6230, 664, 31467, 4590, 0, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 513, 267, 536, 815, 4786, 17301, 267, 3403, 3488, 19152, 1079, 9981, 262, 1040, 20889, 15405, 825, 575, 7251, 815, 476, 272, 454, 825, 585, 546, 538, 2039, 263, 272, 267, 1295, 5416, 267, 536, 264, 1341, 476, 272, 2187, 1038, 952, 513, 4939, 546, 2652, 476, 271, 543, 536, 4939, 546, 2652, 476, 271, 269, 271, 281, 575, 7251, 815, 546, 454, 825, 1820, 14116, 7251, 994, 825, 3403, 3890, 0, 3698, 9062, 28949, 16911, 2187, 825, 1587, 815, 476, 272, 454, 825, 585, 1003, 538, 26571, 912, 1038, 1587, 2608, 284, 1003, 454, 825, 2132, 1587, 692, 2745, 9852, 738, 17586, 263, 273, 267, 276, 267, 1015, 267, 3445, 267, 5952, 267, 276, 267, 279, 267, 278, 4297, 0, 258, 5353, 1286, 1146, 15255, 30775, 542, 525, 692, 258, 2323, 326, 790, 21573, 23313, 1965, 796, 1003, 3266, 1253, 20041, 632, 796, 2067, 454, 3698, 4860, 529, 541, 19617, 3266, 16325, 3266, 2187, 476, 3611, 334, 284, 11133, 3266, 454, 476, 1247, 630, 8339, 262, 538, 3611, 334, 264, 610, 18011, 268, 262, 538, 3611, 334, 2567, 3097, 825, 952, 1412, 9538, 538, 3611, 334, 912, 8587, 1820, 2891, 532, 637, 4292, 796, 8918, 5602, 8587, 3611, 334, 284, 1598, 9272, 2891, 341, 3241, 9366, 513, 3824, 637, 541, 647, 1003, 3266, 2953, 3512, 324, 281, 27328, 825, 8640, 25023, 538, 3611, 334, 912, 8587, 1820, 2891, 532, 637, 4292, 796, 1303, 3266, 2258, 520, 16343, 5602, 8587, 3611, 334, 284, 1598, 9272, 2891, 341, 3241, 9366, 513, 3824, 637, 541, 647, 1003, 3266, 2953, 3512, 324, 281, 834, 11723, 476, 3611, 334, 25507, 5560, 6737, 994, 476, 2132, 3611, 334, 692, 258, 694, 1212, 320, 3288, 1187, 857, 11252, 632, 17485, 2215, 657, 26558, 320, 562, 454, 3698, 8342, 857, 11252, 22958, 657, 17338, 320, 2187, 476, 5903, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 538, 2039, 12759, 263, 9795, 314, 271, 8079, 268, 272, 2187, 2018, 952, 5119, 314, 271, 6012, 328, 316, 11203, 5119, 314, 272, 6012, 328, 266, 272, 14158, 3546, 2132, 8771, 454, 27030, 1038, 2132, 1582, 18994, 2414, 324, 5902, 345, 30467, 8443, 343, 314, 272, 281, 316, 585, 1535, 538, 5119, 8079, 0, 5035, 8827, 912, 825, 1948, 7550, 689, 454, 825, 1948, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 12061, 11546, 920, 2084, 268, 6783, 270, 29171, 1380, 270, 11793, 279, 1626, 18025, 3155, 7232, 868, 3153, 569, 7232, 6470, 3562, 27138, 2955, 454, 825, 1219, 2638, 303, 1601, 2225, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 536, 944, 912, 1038, 835, 267, 1079, 815, 15358, 11468, 3910, 15358, 11468, 2639, 13872, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 821, 15892, 2018, 952, 835, 5157, 268, 272, 316, 3436, 835, 5157, 14158, 3546, 835, 21014, 9217, 268, 272, 994, 3546, 1079, 21014, 9217, 994, 3546, 2736, 28329, 1038, 2132, 835, 2652, 15044, 263, 821, 264, 610, 1079, 2652, 15044, 6025, 6851, 994, 8931, 825, 1948, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 12061, 11546, 920, 2084, 268, 6783, 270, 29171, 1380, 270, 13970, 277, 4200, 27582, 3008, 312, 6261, 3155, 14114, 18217, 9984, 18566, 268, 1911, 454, 825, 1219, 2638, 303, 1601, 2225, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 536, 944, 912, 1038, 1948, 1323, 5044, 540, 476, 273, 2338, 666, 2141, 581, 6378, 909, 454, 1038, 952, 7003, 25225, 264, 10922, 476, 273, 912, 2018, 2132, 6936, 692, 1038, 1293, 815, 476, 271, 454, 1038, 7329, 343, 815, 910, 272, 454, 1038, 585, 1775, 538, 2039, 12759, 25225, 9984, 272, 2187, 2018, 952, 15358, 5157, 266, 272, 316, 2999, 15358, 5157, 14158, 3546, 952, 1293, 912, 7386, 1948, 8307, 835, 7979, 1512, 4847, 454, 7386, 2132, 8771, 454, 3546, 3116, 912, 7386, 1293, 6834, 476, 272, 454, 7386, 7329, 343, 815, 1775, 692, 1038, 952, 711, 1293, 912, 2018, 2132, 6936, 692, 1038, 1948, 1403, 7329, 343, 2652, 476, 271, 267, 15358, 314, 271, 316, 666, 581, 12628, 547, 4368, 519, 5311, 454, 1038, 1948, 1403, 7329, 343, 2652, 7003, 25225, 9984, 273, 267, 15358, 314, 6352, 25225, 9984, 272, 316, 666, 581, 12628, 547, 4368, 519, 5311, 454, 1038, 952, 7329, 343, 2652, 476, 271, 610, 7329, 343, 2652, 7003, 25225, 9984, 273, 912, 2018, 2132, 6936, 692, 1038, 1948, 6744, 952, 15358, 314, 30915, 316, 666, 581, 12628, 547, 4368, 519, 5311, 454, 1038, 952, 15358, 314, 30915, 266, 272, 316, 13843, 15358, 314, 30915, 268, 272, 14158, 2018, 2132, 6936, 454, 1038, 1948, 6744, 952, 15358, 314, 30915, 266, 272, 316, 666, 581, 12628, 547, 4368, 519, 5311, 454, 1038, 952, 15358, 314, 30915, 266, 273, 316, 13843, 15358, 314, 30915, 14158, 2018, 2132, 6936, 28329, 1038, 1948, 3143, 1259, 547, 4368, 519, 5311, 454, 1038, 2132, 8771, 22562, 825, 1948, 4443, 3070, 454, 825, 1948, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 12061, 11546, 920, 2084, 268, 6783, 270, 29171, 1380, 270, 11793, 279, 5655, 270, 763, 3887, 553, 5006, 1790, 3155, 1606, 1828, 19601, 825, 1219, 2638, 303, 1601, 2225, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 536, 944, 912, 1038, 666, 9556, 815, 476, 272, 454, 1038, 585, 1775, 267, 562, 538, 26246, 25225, 314, 272, 281, 3910, 476, 272, 2187, 2018, 952, 15358, 5157, 910, 476, 272, 316, 3436, 562, 281, 1948, 649, 991, 547, 4368, 606, 538, 11437, 267, 2901, 15358, 5157, 910, 476, 272, 316, 610, 15358, 5157, 3910, 4782, 15358, 5157, 910, 476, 272, 2639, 3546, 952, 711, 666, 9556, 912, 7386, 2132, 476, 271, 454, 3546, 952, 1775, 3436, 476, 272, 543, 562, 2999, 15358, 5157, 910, 476, 273, 13912, 1948, 1496, 274, 267, 476, 276, 267, 476, 273, 316, 1100, 3903, 855, 547, 12189, 8885, 267, 6382, 26846, 1176, 834, 25785, 257, 15358, 5157, 910, 476, 272, 2639, 7386, 15358, 5157, 316, 815, 15358, 5157, 910, 476, 272, 2639, 3546, 666, 9556, 815, 476, 271, 454, 1038, 2132, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1412, 3849, 9330, 906, 5303, 8889, 15448, 262, 2709, 9621, 3435, 269, 1280, 3236, 267, 1007, 22729, 4066, 666, 1028, 340, 720, 1857, 1072, 4145, 267, 1247, 7347, 6042, 666, 2327, 3106, 4441, 616, 1558, 563, 763, 1412, 10907, 1061, 766, 2422, 4211, 848, 6201, 262, 689, 1472, 519, 1158, 6542, 519, 1761, 540, 13381, 1216, 1949, 269, 769, 2477, 899, 14135, 610, 5840, 267, 1141, 1216, 20317, 568, 513, 10296, 6161, 267, 13381, 1216, 814, 1044, 6707, 17947, 585, 1312, 4853, 543, 1494, 762, 3096, 269, 1452, 8320, 5031, 519, 1909, 540, 14942, 3609, 6194, 543, 1857, 2069, 538, 10343, 540, 13381, 1216, 563, 763, 1412, 12892, 28620, 262, 540, 1216, 9657, 8831, 3564, 519, 2825, 2640, 269, 4197, 6848, 8456, 2509, 13381, 1216, 998, 10850, 971, 607, 519, 4317, 20472, 13659, 7869, 666, 948, 3337, 2500, 2994, 585, 5009, 10343, 543, 7006, 2454, 20887, 269, 1306, 2825, 1914, 5505, 1419, 1533, 267, 8508, 13381, 1216, 1949, 568, 711, 1175, 606, 1102, 2858, 24780, 6521, 267, 855, 513, 6848, 17565, 6521, 2509, 4264, 2713, 563, 30356, 1306, 1051, 2986, 20074, 27822, 7010, 454, 2750, 600, 1456, 519, 2883, 6286, 540, 16459, 9657, 1949, 267, 835, 9060, 602, 519, 2804, 2640, 666, 581, 1713, 269, 901, 568, 3020, 2436, 891, 1949, 616, 8045, 693, 606, 1367, 610, 2146, 1377, 269, 13188, 12655, 13756, 616, 1883, 547, 1620, 713, 25246, 540, 1216, 9657, 1949, 269, 1879, 12290, 689, 513, 8779, 5811, 11137, 5133, 267, 621, 3587, 10423, 602, 1247, 519, 3355, 5092, 949, 581, 646, 11998, 267, 519, 1279, 3856, 1942, 13716, 4369, 540, 971, 1949, 568, 26837, 22239, 1164, 563, 11101, 267, 6608, 1472, 519, 1158, 616, 9301, 519, 4105, 1909, 540, 1216, 9657, 1949, 538, 8236, 2825, 6940, 269, 1358, 616, 5356, 513, 2039, 540, 6554, 769, 1417, 1161, 12232, 547, 2043, 543, 2950, 547, 5000, 519, 946, 540, 891, 1949, 269, 1452, 15314, 267, 1419, 538, 519, 1106, 540, 24307, 267, 3454, 9397, 267, 610, 14828, 267, 666, 3648, 2569, 519, 2883, 11411, 540, 7598, 891, 1949, 563, 5194, 29810, 1448, 568, 519, 16763, 20520, 15783, 2404, 609, 519, 3395, 10073, 540, 1216, 9657, 1949, 269, 901, 28928, 2361, 568, 1634, 547, 1711, 1007, 3255, 538, 1382, 267, 1374, 267, 10380, 267, 5826, 267, 543, 6075, 3028, 9922, 269, 3245, 513, 12550, 11296, 5133, 267, 519, 2208, 540, 713, 2872, 666, 3565, 9797, 547, 513, 4182, 781, 4346, 676, 10451, 6009, 543, 18398, 2804, 2534, 563, 7661, 267, 950, 9236, 519, 5843, 25966, 5839, 549, 9483, 11588, 267, 621, 568, 2312, 602, 1312, 616, 1713, 269, 2311, 519, 2890, 11296, 1377, 267, 2043, 543, 4213, 666, 4688, 593, 1216, 12014, 543, 1831, 811, 1582, 1606, 11211, 269, 11531, 267, 593, 513, 12550, 11296, 1377, 267, 7839, 10073, 540, 891, 1949, 666, 2569, 519, 8833, 593, 1857, 1216, 2200, 267, 6175, 21341, 593, 16865, 1216, 267, 543, 12954, 2816, 5137, 563, 1103, 5758, 267, 519, 2804, 2460, 540, 7598, 1216, 9657, 1949, 568, 15491, 267, 609, 2640, 14178, 689, 2123, 1942, 9806, 547, 12550, 11296, 2208, 269, 20523, 3007, 547, 519, 1942, 1532, 523, 24674, 2079, 543, 519, 12366, 1436, 540, 2139, 24307, 786, 2327, 519, 3811, 543, 22237, 6388, 540, 891, 1898, 6940, 3800, 563, 763, 8892, 2480, 2100, 585, 4886, 538, 713, 12197, 454, 12850, 9657, 1949, 267, 519, 31305, 12325, 540, 6940, 267, 3136, 547, 1404, 513, 4105, 1909, 538, 5009, 13476, 7874, 2853, 269, 16480, 267, 972, 568, 8101, 1761, 585, 2417, 13120, 538, 713, 2361, 269, 2060, 5571, 6639, 7760, 267, 519, 4398, 543, 7145, 540, 1216, 9657, 1949, 666, 581, 3648, 4824, 269, 769, 519, 1279, 2196, 267, 713, 786, 711, 1152, 5351, 538, 25137, 1216, 267, 513, 2565, 4199, 267, 855, 849, 538, 4227, 519, 2949, 2825, 11640, 269, 634, 5610, 540, 5100, 4066, 543, 519, 3498, 540, 1239, 12642, 585, 16762, 5826, 543, 11938, 849, 6585, 9153, 269, 5015, 267, 1382, 568, 25093, 547, 1020, 1949, 602, 666, 9156, 811, 982, 1175, 1216, 267, 971, 607, 1648, 610, 5567, 267, 2870, 513, 5963, 9764, 543, 4264, 4346, 269, 0, 290, 2255, 909, 593, 476, 1001, 276, 779, 1034, 2442, 3163, 1299, 14539, 9708, 2336, 4415, 476, 6200, 275, 4589, 267, 606, 2376, 676, 2274, 2426, 1696, 620, 269, 538, 519, 2904, 3390, 540, 717, 274, 814, 519, 4102, 2278, 1592, 540, 1022, 1957, 3370, 538, 519, 4760, 269, 2859, 982, 476, 12010, 540, 1346, 4589, 941, 15938, 1053, 950, 789, 5340, 519, 1382, 563, 11795, 3720, 538, 4719, 4763, 1063, 1480, 5095, 666, 635, 12393, 1978, 1514, 13103, 267, 8044, 25424, 25347, 6199, 543, 22189, 918, 836, 538, 513, 2689, 3370, 538, 717, 2894, 292, 23154, 269, 1809, 513, 11786, 4466, 676, 24192, 2443, 602, 4719, 4763, 568, 1644, 547, 13664, 3270, 540, 2804, 1646, 1765, 568, 2693, 1175, 513, 8579, 2770, 651, 563, 299, 1987, 2218, 29588, 8127, 12404, 513, 18660, 2370, 5728, 269, 4014, 519, 6263, 3165, 723, 8810, 547, 581, 513, 4105, 4719, 2203, 267, 29588, 8127, 12093, 1765, 520, 2547, 538, 519, 2978, 1765, 13757, 3552, 569, 4756, 4093, 563, 1432, 952, 972, 729, 513, 1259, 547, 8897, 1007, 3988, 883, 513, 9263, 24595, 1957, 286, 769, 476, 1001, 273, 267, 717, 2894, 292, 23154, 30792, 513, 1007, 1826, 540, 2376, 585, 10962, 3119, 3332, 883, 519, 4928, 281, 519, 10021, 518, 269, 10021, 619, 538, 717, 2894, 292, 23154, 1631, 2097, 538, 1079, 10366, 281, 3194, 10021, 619, 267, 543, 7844, 5029, 1143, 10021, 619, 563, 763, 7524, 6612, 8686, 710, 18173, 2249, 4477, 6625, 3780, 2144, 6737, 3085, 1406, 6492, 607, 1434, 607, 621, 5654, 269, 634, 17145, 540, 713, 3162, 543, 6239, 1977, 2249, 7213, 12885, 6757, 7135, 547, 25339, 1131, 15515, 11975, 267, 945, 3533, 1451, 547, 12314, 519, 17984, 685, 18473, 6492, 609, 741, 12050, 2699, 9963, 4778, 543, 3270, 563, 3719, 670, 269, 2144, 6737, 3884, 1406, 519, 1152, 2249, 602, 31273, 713, 1880, 8594, 1129, 563, 5804, 3662, 29143, 1709, 547, 1480, 11646, 8390, 267, 689, 10981, 331, 14709, 25450, 547, 561, 4526, 25450, 267, 689, 3552, 29588, 8127, 3023, 547, 2150, 22931, 1558, 10402, 2345, 267, 2063, 1032, 4547, 7899, 540, 1164, 2798, 585, 519, 717, 6347, 13746, 563, 1103, 5437, 267, 717, 2894, 292, 23154, 3370, 606, 21107, 602, 32514, 919, 519, 9620, 540, 3744, 3843, 547, 1312, 798, 1434, 2257, 543, 4434, 538, 741, 4876, 267, 2523, 607, 1644, 547, 519, 26516, 2360, 540, 519, 4750, 8177, 16748, 630, 297, 9281, 1916, 2691, 606, 9456, 14776, 3724, 678, 25114, 333, 820, 17486, 922, 10352, 267, 621, 7630, 338, 513, 15483, 18571, 540, 6757, 5946, 543, 30902, 602, 4323, 593, 2789, 18651, 1206, 269, 1809, 519, 5730, 11600, 585, 713, 1100, 343, 1190, 3575, 568, 3622, 2219, 547, 4096, 593, 1141, 519, 13131, 729, 4535, 563, 7712, 519, 476, 1704, 628, 2540, 267, 519, 6263, 1199, 10440, 3165, 602, 546, 691, 998, 7573, 533, 5417, 625, 538, 3567, 723, 1044, 26870, 607, 2713, 610, 23788, 269, 9282, 538, 519, 3552, 789, 616, 513, 562, 1180, 525, 5296, 16095, 2681, 267, 1199, 10440, 12212, 2490, 909, 538, 8755, 1512, 30354, 8677, 2443, 10538, 268, 1042, 267, 15090, 956, 1417, 3043, 267, 3109, 521, 7120, 3481, 2443, 602, 941, 1454, 17028, 7458, 676, 5481, 540, 3165, 10178, 857, 619, 269, 15907, 476, 4489, 274, 267, 1199, 10440, 2681, 8677, 9575, 519, 3007, 540, 18186, 6048, 570, 520, 340, 334, 589, 5866, 269, 0, 32046, 1282, 519, 6739, 1285, 656, 3766, 31938, 3350, 454, 763, 6739, 589, 2779, 8566, 31938, 4258, 1087, 5590, 729, 2813, 1282, 713, 3078, 543, 13710, 1974, 267, 607, 513, 3090, 540, 519, 3350, 779, 16431, 543, 513, 11812, 540, 922, 7499, 10124, 269, 17848, 539, 538, 519, 12316, 6891, 540, 519, 942, 267, 950, 5159, 543, 9858, 8179, 547, 2736, 609, 519, 2757, 3029, 543, 6163, 540, 519, 2250, 267, 543, 547, 1711, 1007, 543, 12050, 7215, 540, 5876, 563, 289, 1245, 543, 5499, 1935, 547, 1148, 454, 763, 3350, 568, 6353, 676, 922, 12050, 543, 5499, 1935, 547, 1148, 267, 1374, 543, 6189, 267, 1185, 513, 7096, 1764, 593, 519, 2686, 5251, 540, 6576, 543, 519, 1158, 693, 1804, 269, 634, 1374, 5170, 547, 8300, 543, 3310, 4207, 5159, 543, 9858, 563, 10481, 6248, 5546, 543, 7493, 3029, 454, 268, 634, 6739, 589, 2779, 8566, 31938, 4258, 1087, 1305, 11363, 12166, 5546, 543, 7493, 3029, 267, 799, 616, 6273, 676, 519, 2973, 3515, 543, 31933, 6272, 540, 519, 2413, 626, 3350, 563, 268, 634, 4773, 616, 3335, 1500, 540, 4496, 267, 609, 513, 8766, 626, 1374, 602, 11363, 1106, 543, 1599, 936, 15022, 3512, 566, 563, 268, 634, 30392, 985, 616, 3335, 6719, 676, 2241, 12166, 5546, 267, 1247, 519, 811, 1271, 4773, 267, 971, 607, 519, 15596, 267, 24649, 543, 27585, 267, 616, 13269, 607, 811, 14969, 543, 7493, 3029, 269, 0, 30206, 7726, 476, 272, 454, 23737, 519, 3017, 1063, 1689, 538, 7274, 18796, 543, 513, 6521, 538, 3747, 269, 1548, 3123, 2242, 538, 7274, 18796, 286, 1548, 3123, 513, 6521, 538, 3747, 888, 24591, 707, 942, 910, 1931, 513, 1957, 2336, 7476, 707, 1957, 2854, 689, 15072, 1369, 519, 9395, 21120, 269, 3776, 3028, 568, 513, 6325, 3070, 547, 782, 707, 13542, 269, 9255, 606, 1931, 593, 1022, 4305, 543, 649, 786, 1491, 1416, 540, 621, 269, 1411, 4465, 1406, 723, 547, 5855, 827, 519, 2298, 543, 21852, 24576, 7433, 3767, 454, 30206, 7726, 476, 273, 454, 3849, 600, 543, 15016, 979, 547, 519, 4558, 547, 6718, 930, 13169, 17914, 269, 9453, 3168, 693, 519, 3902, 267, 14088, 3081, 968, 296, 3580, 1491, 476, 1015, 13169, 17914, 2223, 543, 15016, 3081, 968, 296, 3580, 1491, 1269, 1015, 4502, 540, 13169, 17914, 1848, 1548, 568, 1142, 1268, 779, 3902, 22786, 540, 3747, 585, 13169, 17914, 286, 0, 4504, 28558, 29781, 7930, 609, 19568, 16853, 2966, 585, 20854, 547, 2057, 4929, 9636, 610, 2800, 269, 11559, 513, 1187, 543, 7317, 1935, 676, 7432, 621, 883, 513, 3014, 610, 6220, 513, 8007, 1062, 269, 23227, 622, 519, 1697, 4480, 543, 27459, 1047, 5702, 547, 2327, 741, 3106, 563, 268, 7994, 22525, 7888, 19568, 16853, 2966, 585, 4313, 543, 7145, 454, 268, 29130, 29781, 7930, 543, 2490, 621, 883, 513, 3014, 610, 6451, 513, 8007, 1062, 454, 268, 5269, 29781, 513, 2834, 851, 540, 519, 3232, 6296, 543, 4125, 519, 1126, 779, 11290, 585, 5583, 454, 268, 2422, 9543, 1394, 7146, 16519, 628, 20517, 267, 581, 3461, 267, 543, 1683, 6351, 543, 15569, 607, 2877, 454, 16521, 519, 9406, 4469, 1601, 532, 13088, 454, 16521, 19568, 16853, 4481, 2966, 585, 20854, 547, 2327, 6899, 543, 2500, 29781, 269, 4469, 1601, 532, 2038, 2488, 3875, 2640, 585, 707, 1126, 779, 5711, 1072, 269, 898, 2337, 4894, 15799, 543, 1426, 5536, 689, 1063, 741, 4522, 267, 7303, 19659, 543, 10733, 2068, 563, 2691, 7446, 19568, 16853, 267, 1413, 585, 3283, 609, 513, 1507, 6023, 543, 513, 2110, 3259, 540, 19568, 547, 13918, 707, 22525, 779, 4130, 5023, 269, 1452, 29781, 2645, 616, 2966, 547, 581, 9543, 593, 741, 4522, 543, 14779, 563, 2414, 1118, 29781, 513, 2318, 1995, 267, 946, 513, 1187, 543, 7317, 1935, 269, 1411, 666, 2490, 621, 883, 513, 3014, 610, 6451, 513, 8007, 1062, 269, 8058, 707, 22525, 519, 1697, 4480, 543, 5702, 27459, 1047, 873, 547, 2327, 741, 3106, 563, 15307, 28344, 513, 15474, 4469, 1601, 532, 13705, 710, 454, 2414, 3715, 513, 2318, 29781, 6296, 585, 707, 22525, 267, 6338, 29781, 7930, 543, 1118, 621, 513, 1187, 543, 7317, 2534, 269, 3399, 676, 1210, 19568, 16853, 2966, 585, 20854, 547, 2057, 9636, 610, 2800, 563, 31282, 29781, 883, 513, 3014, 610, 6451, 513, 8007, 1062, 547, 5000, 741, 7589, 269, 8058, 873, 519, 1697, 4480, 543, 5702, 27459, 1047, 547, 2327, 741, 3106, 563, 8256, 29548, 568, 1883, 267, 865, 1118, 29781, 513, 2834, 851, 540, 741, 3232, 6296, 269, 1677, 2417, 1489, 741, 5959, 1072, 267, 4125, 519, 1126, 779, 11290, 538, 519, 1184, 269, 1358, 666, 1683, 5583, 267, 2626, 1022, 2055, 267, 543, 2709, 3606, 4388, 585, 29781, 1967, 563, 13014, 4469, 1601, 532, 513, 8342, 11314, 454, 2414, 1118, 29781, 513, 1187, 2534, 585, 707, 22525, 267, 6451, 3756, 610, 12587, 883, 519, 29781, 6296, 1247, 5702, 27459, 2358, 741, 4480, 543, 3106, 563, 14503, 1601, 532, 3756, 666, 1118, 519, 1184, 11791, 543, 2502, 585 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1141, 589, 284, 25388, 321, 766, 267, 552, 284, 2169, 8012, 11664, 267, 595, 284, 935, 1417, 1674, 4429, 763, 4274, 12116, 1620, 10338, 14170, 269, 0, 307, 9528, 10791, 1635, 15661, 269, 5253, 6208, 269, 570, 22061, 616, 23097, 2803, 543, 538, 519, 3552, 786, 7363, 6146, 824, 2831, 547, 3548, 1498, 789, 786, 21102, 1426, 689, 824, 23097, 2803, 952, 519, 4316, 14340, 269, 2913, 779, 2263, 1018, 798, 590, 9200, 1014, 27683, 3548, 2630, 269, 901, 3762, 1447, 1426, 585, 824, 2831, 602, 27683, 1810, 1406, 8209, 3548, 267, 543, 519, 2898, 1426, 1357, 2458, 22663, 269, 10791, 540, 590, 9200, 1014, 26286, 269, 570, 22061, 1694, 585, 513, 1279, 942, 538, 6207, 16563, 543, 1287, 533, 8784, 593, 519, 10352, 950, 621, 568, 6397, 269, 1452, 616, 22072, 21962, 267, 865, 2348, 519, 2702, 547, 12404, 538, 7381, 21823, 543, 26965, 1247, 588, 22736, 10352, 568, 540, 519, 25932, 2956, 269, 7756, 2188, 3313, 519, 3903, 540, 536, 1263, 531, 20259, 779, 10352, 899, 8244, 540, 10352, 3662, 267, 4550, 1790, 1042, 1807, 2994, 540, 10352, 2249, 543, 519, 2450, 540, 519, 10352, 269, 570, 22061, 1223, 1205, 12517, 13676, 1282, 519, 1184, 1932, 952, 519, 10352, 6285, 873, 1394, 630, 7945, 607, 25438, 3796, 267, 11188, 24189, 1149, 610, 5230, 10889, 531, 3996, 1040, 5689, 18885, 27683, 616, 1336, 538, 519, 25345, 540, 30017, 269, 6167, 299, 296, 17395, 922, 7489, 30980, 267, 2549, 584, 20259, 814, 3833, 2189, 2732, 543, 4189, 6208, 5310, 1813, 547, 922, 620, 334, 1993, 7226, 269, 570, 22061, 9663, 13124, 2196, 689, 513, 2347, 1796, 3613, 650, 2990, 547, 476, 2004, 18890, 3432, 538, 2110, 16204, 6493, 269, 570, 22061, 616, 2219, 547, 12398, 741, 10352, 1210, 6217, 543, 8289, 811, 982, 10153, 8351, 630, 19913, 718, 518, 267, 476, 3422, 278, 1040, 570, 22061, 616, 1434, 7669, 11302, 1317, 540, 741, 13148, 7148, 539, 19462, 282, 3006, 789, 8749, 741, 9601, 883, 519, 1216, 269, 26286, 568, 711, 513, 4584, 344, 552, 831, 269, 4746, 267, 27683, 4323, 543, 3548, 17680, 3960, 569, 12217, 543, 3109, 12217, 269, 2755, 789, 5631, 6968, 693, 3781, 789, 723, 1044, 2938, 856, 1282, 519, 21765, 3108, 547, 1265, 1426, 269, 4256, 11326, 941, 5631, 1804, 11876, 1993, 539, 11864, 269, 5681, 520, 3757, 27683, 723, 606, 4277, 4356, 1107, 2899, 519, 7594, 568, 936, 267, 621, 1131, 3382, 1286, 322, 817, 609, 6371, 1210, 922, 533, 9155, 585, 15165, 532, 519, 2451, 13569, 2663, 256, 21058, 27683, 6968, 1152, 1369, 741, 11182, 1247, 519, 5256, 27683, 6968, 9170, 543, 20471, 269, 634, 20259, 16356, 14560, 3636, 7297, 543, 568, 1336, 538, 1034, 9341, 543, 22465, 4525, 269, 1358, 10355, 4323, 19246, 543, 28591, 665, 14058, 269, 1703, 941, 1082, 13685, 538, 519, 2250, 1141, 891, 2462, 7314, 533, 6407, 593, 3425, 1299, 7166, 873, 585, 5779, 269, 26361, 782, 267, 5681, 520, 3757, 27683, 899, 547, 3548, 13650, 543, 6477, 269, 1411, 723, 9411, 606, 11234, 4757, 2232, 256, 13689, 593, 519, 2450, 540, 519, 6146, 543, 875, 1454, 729, 10057, 621, 949, 581, 1896, 811, 2395, 1354, 1776, 6146, 568, 1500, 269, 634, 3328, 2597, 540, 27683, 568, 827, 476, 10384, 7273, 269, 594, 2648, 713, 1257, 865, 1454, 543, 621, 5280, 803, 538, 1153, 585, 1250, 1153, 960, 256, 20661, 3548, 3618, 19095, 267, 7786, 267, 4816, 8983, 267, 20883, 267, 25658, 543, 22376, 7714, 269, 769, 713, 2376, 267, 649, 3580, 2263, 519, 20259, 10122, 4806, 543, 3169, 2732, 1544, 585, 1142, 20259, 1826, 269, 1717, 267, 950, 1426, 568, 3908, 267, 519, 5256, 21495, 538, 519, 11348, 3548, 1101, 269, 1717, 267, 606, 7533, 5057, 540, 741, 2732, 616, 1804, 1532, 617, 1221, 10352, 20604, 827, 476, 736, 4846, 630, 3393, 7273, 4700, 3619, 3297, 7308, 27214, 25333, 547, 1294, 875, 938, 30157, 1416, 585, 543, 2170, 609, 891, 5863, 2831, 267, 543, 1205, 909, 2673, 609, 930, 1710, 2740, 267, 1166, 2089, 1229, 267, 610, 905, 9312, 2828, 269, 9861, 519, 17055, 540, 3127, 267, 16273, 267, 18310, 267, 543, 13225, 27175, 267, 1018, 798, 19377, 27683, 3548, 286, 769, 476, 1001, 276, 267, 789, 941, 13166, 9307, 607, 9691, 13155, 20259, 2249, 269, 14645, 9736, 476, 1960, 280, 268, 1708, 272, 12713, 18439, 337, 12991, 564, 269, 1358, 5631, 3049, 593, 2831, 899, 13650, 267, 1884, 601, 2100, 267, 543, 3552, 14918, 269, 570, 22061, 5631, 7048, 593, 741, 2631, 540, 8289, 543, 6217, 2864, 982, 593, 9329, 950, 10122, 10352, 269, 1677, 1205, 5779, 267, 621, 6968, 338, 824, 2831, 269, 1548, 789, 3548, 5673, 593, 1141, 789, 2661, 269, 1284, 5873, 713, 3377, 689, 3127, 1360, 4749, 269, 4107, 1419, 267, 1498, 267, 713, 16356, 568, 1336, 538, 9597, 5652, 7297, 538, 5032, 320, 2507, 1358, 849, 4782, 2713, 538, 9249, 609, 5078, 3954, 6753, 267, 971, 607, 23572, 267, 17860, 4054, 267, 610, 1360, 10053, 26965, 269, 3973, 789, 3801, 547, 1491, 1524, 741, 10352, 609, 513, 3532, 11116, 547, 519, 8405, 543, 270, 610, 11563, 269, 769, 476, 5002, 274, 267, 519, 2749, 540, 2836, 12827, 3279, 630, 852, 918, 13083, 27198, 264, 14754, 519, 20599, 812, 3887, 831, 538, 23291, 1141, 621, 27581, 3576, 811, 982, 476, 1220, 1480, 2729, 269, 634, 20259, 2356, 6968, 338, 676, 3781, 543, 840, 903, 593, 513, 3099, 540, 2831, 267, 855, 621, 27422, 9425, 1804, 10352, 971, 607, 13650, 630, 338, 3711, 541, 267, 669, 1388, 267, 543, 32761, 13650, 264, 543, 3552, 14918, 269, 476, 6924, 7756, 9537, 540, 24930, 1299, 1548, 1358, 1684, 286, 1403, 2831, 616, 711, 2139, 267, 20259, 1131, 3548, 15708, 610, 1256, 6371, 547, 10038, 922, 9667, 1949, 269, 5253, 31346, 269, 2776, 344, 2249, 540, 891, 2462, 7314, 1331, 521, 11986, 13650, 267, 1660, 330, 13650, 267, 575, 7394, 267, 4779, 846, 267, 2699, 13650, 267, 590, 9200, 1014, 887, 324, 13650, 267, 772, 1087, 19441, 6960, 7703, 267, 17680, 3960, 569, 7703, 267, 3552, 6477, 267, 7489, 3109, 7703, 267, 2494, 577, 584, 1014, 530, 777, 16951, 267, 543, 824, 4130, 2249, 1519, 17544, 267, 533, 1731, 553, 267, 688, 637, 543, 13687, 269, 570, 22061, 949, 8532, 909, 547, 476, 2412, 4846, 630, 6434, 7273, 4700, 3267, 5253, 31346, 1547, 3962, 1826, 540, 20259, 814, 513, 1114, 2732, 1759, 593, 519, 10923, 4087, 1141, 789, 21078, 538, 269, 1358, 616, 693, 519, 1283, 540, 1426, 5832, 538, 5681, 21358, 269, 19377, 27683, 4782, 10122, 1804, 11864, 971, 607, 13650, 630, 577, 1388, 267, 521, 3711, 541, 267, 575, 4768, 267, 3046, 2084, 3873, 1070, 1216, 10889, 14900, 267, 562, 559, 326, 2967, 270, 19990, 13032, 267, 1583, 578, 630, 2998, 520, 6438, 264, 543, 512, 752, 514, 630, 3913, 340, 23820, 1040, 25873, 938, 3573, 4015, 540, 18186, 1670, 4876, 1102, 984, 23697, 1519, 3662, 2866, 267, 3662, 15063, 543, 14317, 543, 23291, 11678, 269, 1358, 666, 2951, 513, 1804, 3845, 538, 741, 1753, 2039, 547, 1265, 1426, 269, 4317, 10263, 269, 30038, 15611, 3548, 1507, 12748, 21746, 267, 17494, 267, 7786, 267, 512, 611, 335, 3421, 543, 4130, 2892, 600, 6387, 16793, 269, 634, 1101, 3532, 11116, 1131, 581, 593, 519, 8405, 547, 2736, 922, 8405, 5642, 543, 1287, 18009, 519, 11563, 856, 269, 12769, 31531, 789, 4323, 519, 15556, 540, 824, 11864, 267, 543, 952, 972, 568, 20317, 267, 789, 949, 3548, 1286, 337, 542, 267, 4323, 6469, 13184, 610, 1256, 3425, 269, 1358, 4323, 519, 3662, 2901, 593, 519, 2427, 610, 689, 519, 1394, 865, 602, 519, 10352, 3112, 1847, 2476, 602, 3533, 269, 1284, 723, 9184, 4327, 1142, 1634, 20259, 2249, 543, 1018, 798, 789, 3548, 538, 519, 3552, 2630, 281, 590, 9200, 1014, 27683, 849, 5219, 607, 2549, 584, 27683, 267, 543, 1631, 789, 616, 5631, 1336, 538, 10021, 800, 324, 19435, 540, 6576, 269, 1358, 4043, 547, 1413, 585, 519, 3677, 10352, 971, 607, 1714, 330, 543, 3552, 1630, 1513, 269, 26286, 6428, 600, 32752, 616, 693, 1981, 538, 3703, 12052, 1317, 540, 741, 1507, 2551, 267, 3908, 3892, 543, 519, 4028, 1646, 540, 741, 7226, 585, 1480, 946, 269, 1358, 946, 741, 3532, 28287, 547, 533, 8784, 883, 2962, 1310, 789, 723, 2879, 3089, 909, 5702, 547, 741, 10352, 269, 590, 9200, 1014, 27683, 849, 5219, 607, 2549, 584, 27683, 267, 543, 1631, 789, 616, 5631, 1336, 538, 10021, 800, 324, 19435, 540, 6576, 269, 5681, 520, 3757, 26286, 10791, 269, 769, 3127, 267, 3043, 27683, 616, 6140, 1336, 538, 3844, 543, 7013, 4525, 540, 519, 2197, 269, 2353, 7126, 27616, 269, 634, 2732, 5750, 540, 519, 590, 9200, 1014, 20259, 568, 12667, 269, 1358, 4782, 13650, 267, 3552, 14918, 543, 3552, 3404, 523, 267, 855, 786, 849, 3548, 782, 5686, 540, 11864, 267, 5017, 267, 20641, 543, 3165, 269, 769, 27584, 4997, 519, 10352, 9830, 616, 1454, 2539, 543, 5256, 20259, 11182, 2039, 538, 2450, 689, 476, 8517, 547, 476, 6344, 271, 5998, 273, 630, 17168, 547, 476, 21878, 11465, 273, 1040, 634, 4095, 682, 16985, 568, 835, 540, 519, 2462, 7314, 9648, 593, 519, 4095, 1016, 29657, 267, 6306, 689, 519, 1306, 328, 1738, 17794, 267, 19377, 20259, 267, 6777, 682, 16985, 543, 6531, 539, 682, 16985, 907, 22067, 609, 721, 593, 606, 20605, 3460, 3297, 519, 10207, 1282, 513, 7256, 13328, 610, 645, 20415, 25052, 8805, 269, 5689, 18885, 27683, 685, 2732, 2882, 13650, 2249, 630, 338, 3711, 541, 543, 13626, 532, 1070, 3552, 1630, 541, 267, 28278, 14918, 267, 543, 1583, 578, 269, 610, 3677, 971, 607, 4779, 846, 267, 13650, 2249, 267, 14918, 267, 16933, 267, 9640, 267, 10889, 531, 657, 543, 23161, 269, 19377, 27683, 616, 1336, 538, 3905, 543, 18519, 2127, 267, 1247, 519, 2549, 584, 543, 1473, 5255, 4042, 27683, 2661, 538, 4411, 4525, 269, 1358, 616, 2111, 547, 1491, 1524, 513, 3099, 540, 2010, 540, 2831, 1519, 7899, 540, 873, 602, 616, 3833, 513, 1906, 2053, 3677, 982, 789, 616, 269, 634, 10352, 5542, 540, 891, 27683, 9832, 689, 2831, 693, 2244, 543, 1216, 269, 9861, 30085, 23246, 267, 1018, 2831, 798, 27683, 3548, 286, 1358, 786, 7110, 741, 2732, 609, 1507, 11864, 1519, 17544, 267, 3165, 267, 22171, 267, 688, 637, 267, 543, 890, 2378, 578, 3149, 269, 7256, 13328, 543, 645, 20415, 25052, 11094, 8750, 269, 1358, 8532, 827, 606, 3328, 540, 476, 3374, 268, 8099, 7273, 5779, 693, 513, 2016, 942, 269, 634, 3791, 4494, 4564, 519, 24549, 2803, 971, 607, 13650, 267, 1714, 802, 267, 543, 1630, 1513, 799, 3049, 593, 519, 12696, 1107, 3543, 725, 971, 607, 4054, 267, 15708, 267, 543, 6371, 269, 1879, 519, 20259, 7750, 338, 616, 513, 1906, 3275, 2025, 267, 519, 20259, 3993, 3322, 873, 538, 519, 10122, 1184, 267, 865, 789, 1205, 8036, 693, 513, 1360, 7820, 2085, 269, 6875, 513, 6251, 1413, 693, 891, 22605, 2835, 1519, 1344, 827, 3662, 9249, 267, 2623, 267, 543, 3621, 8760, 269, 26286, 31346, 570, 22061, 2661, 4805, 543, 1847, 30109, 693, 3781, 269, 570, 22061, 616, 23097, 2803, 267, 799, 1797, 602, 789, 8532, 5779, 269, 1358, 3548, 3592, 1169, 3662, 2139, 538, 519, 3148, 267, 689, 12217, 547, 3165, 610, 267, 13650, 547, 17544, 269, 4855, 513, 3099, 540, 1863, 4928, 2238, 602, 786, 1832, 707, 1053, 7722, 543, 9599, 547, 1451, 827, 2831, 269, 631, 2297, 723, 3677, 11182, 982, 8951, 269, 1635, 2470, 267, 27683, 616, 23097, 2803, 269, 4634, 1631, 267, 519, 1480, 2389, 9528, 4655, 5170, 269, 7756, 28849, 666, 581, 1336, 538, 513, 1297, 540, 4104, 2010, 267, 1519, 28033, 267, 32761, 267, 22600, 17311, 267, 28301, 267, 555, 1941, 267, 543, 28580, 27004, 269, 19377, 9697, 476, 273, 269, 570, 22061, 723, 849, 1044, 1634, 547, 3548, 25438, 3796, 267, 3165, 267, 5017, 267, 20641, 267, 543, 1256, 824, 11975, 899, 682, 641, 1841, 543, 12217, 269, 2480, 520, 2079, 543, 1899, 17464, 4167, 1505, 941, 1031, 547, 7447, 20259, 1426, 6208, 543, 5860, 540, 2101, 10352, 2249, 267, 6606, 269, 1306, 596, 979, 998, 707, 1948, 20464, 2662, 1961, 1789, 267, 3251, 593, 519, 1413, 719, 585, 1346, 1507, 17993, 267, 519, 1948, 10064, 309, 630, 12061, 8397, 24984, 264, 596, 2461, 7487, 267, 543, 519, 9283, 596, 630, 528, 707, 2828, 543, 1920, 264, 616, 711, 6005, 538, 707, 1072, 267, 6208, 267, 543, 2078, 609, 1426, 269, 26286, 30839, 31346, 269, 1358, 666, 3548, 607, 1454, 607 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2598, 4740, 17438, 20518, 1903, 692, 2005, 568, 519, 2034, 2376, 538, 519, 476, 274, 12268, 2376, 3126, 593, 519, 5506, 14778, 780, 763, 1101, 851, 14437, 827, 10803, 267, 17438, 267, 543, 3892, 14258, 269, 769, 713, 851, 267, 594, 786, 2911, 827, 4122, 1031, 15768, 5506, 14778, 267, 1519, 23642, 6706, 267, 5564, 30796, 267, 12672, 537, 25651, 267, 7313, 24480, 267, 543, 513, 1880, 2013, 540, 31538, 3892, 780, 1012, 2598, 4740, 17438, 20518, 1903, 692, 1103, 519, 2063, 2376, 267, 649, 4718, 1018, 513, 5506, 3892, 568, 543, 875, 649, 666, 2099, 621, 1210, 513, 5860, 7455, 585, 782, 519, 2009, 4093, 780, 2304, 4603, 609, 13113, 610, 1293, 762, 4093, 267, 971, 607, 3478, 513, 10361, 610, 513, 29114, 267, 610, 3478, 513, 1297, 1063, 476, 272, 268, 277, 1310, 12902, 18062, 267, 3092, 269, 568, 6719, 609, 15768, 5506, 14778, 780, 15014, 293, 281, 1452, 5506, 14778, 616, 6719, 676, 1210, 513, 6310, 1599, 269, 1280, 15768, 4093, 267, 713, 1599, 568, 1572, 519, 5506, 2527, 1599, 267, 610, 6751, 293, 269, 898, 11225, 519, 5506, 3892, 585, 1142, 3982, 6364, 630, 272, 547, 476, 277, 1040, 634, 1657, 4605, 20186, 519, 6751, 293, 585, 513, 18062, 268, 2651, 4603, 3113, 1227, 780, 8923, 4063, 602, 519, 2040, 540, 17831, 538, 6751, 293, 585, 782, 4093, 786, 2141, 3160, 835, 780, 290, 5263, 281, 769, 1808, 8579, 7653, 267, 649, 616, 5461, 538, 6616, 519, 5506, 602, 519, 6364, 786, 723, 513, 1871, 1447, 982, 610, 3160, 547, 513, 1808, 1871, 269, 1280, 1383, 267, 1282, 513, 18062, 268, 2651, 4603, 267, 649, 1522, 581, 5461, 538, 6616, 519, 5506, 602, 519, 6364, 568, 1447, 982, 476, 275, 269, 901, 5506, 568, 6719, 676, 1210, 519, 595, 636, 11494, 17392, 9577, 610, 595, 5263, 269, 898, 568, 513, 1599, 602, 2488, 513, 5506, 602, 513, 15768, 6364, 786, 723, 513, 1871, 1447, 982, 610, 3160, 547, 513, 1808, 1871, 269, 634, 2630, 4137, 4564, 519, 595, 5263, 585, 513, 18062, 5066, 4603, 269, 8074, 875, 621, 10301, 547, 476, 272, 585, 519, 4102, 2009, 6364, 780, 1103, 2110, 10484, 1892, 17438, 7136, 9577, 630, 15014, 293, 2567, 17438, 585, 513, 15768, 6364, 454, 1892, 595, 636, 11494, 17392, 9577, 630, 290, 5263, 2567, 17438, 1447, 982, 610, 3160, 547, 513, 1871, 692, 1892, 7313, 24480, 3892, 454, 1892, 12672, 537, 25651, 543, 23481, 14778, 454, 1892, 5564, 514, 537, 25651, 543, 1617, 30796, 14778, 454, 1892, 2598, 4740, 7833, 3892, 692, 1012, 7313, 24480, 17392, 1384, 5331, 596, 616, 513, 4871, 2995, 518, 269, 769, 1931, 547, 15814, 30732, 7410, 540, 513, 1007, 10211, 10325, 547, 519, 5561, 267, 596, 991, 547, 917, 875, 1082, 5561, 786, 3643, 1169, 5662, 269, 3767, 713, 1297, 666, 4268, 513, 2603, 269, 898, 666, 1376, 689, 4642, 630, 7224, 9683, 5561, 264, 547, 4376, 1360, 1804, 630, 1478, 718, 2450, 540, 519, 6075, 3490, 1040, 769, 824, 1913, 267, 1022, 4351, 1297, 540, 5561, 666, 3643, 1169, 5662, 269, 901, 1297, 568, 849, 15768, 630, 272, 267, 273, 267, 274, 267, 543, 865, 593, 264, 538, 2470, 269, 634, 5506, 540, 971, 513, 1293, 762, 6364, 538, 513, 6378, 2179, 540, 942, 568, 2944, 676, 7313, 24480, 3892, 780, 5472, 971, 14778, 616, 6353, 676, 519, 3328, 630, 11743, 264, 1297, 540, 4093, 829, 5662, 263, 16575, 1040, 901, 1871, 19752, 602, 1169, 5662, 267, 593, 606, 3328, 267, 18494, 1297, 540, 5561, 3643, 519, 4871, 780, 1103, 519, 1657, 4137, 267, 5469, 875, 519, 5506, 2527, 1599, 609, 18494, 815, 476, 1015, 19589, 585, 4557, 5561, 543, 568, 1447, 6382, 269, 3213, 4532, 1211, 569, 267, 519, 5506, 568, 519, 1482, 585, 476, 280, 543, 476, 1015, 5561, 9683, 519, 7936, 538, 713, 2013, 780, 2791, 666, 946, 713, 1907, 547, 5352, 7313, 24480, 3892, 14258, 585, 1022, 25754, 1871, 780, 1012, 12672, 537, 25651, 1299, 23642, 6706, 14778, 692, 1103, 1082, 1483, 3734, 7653, 267, 649, 991, 547, 1109, 5035, 1518, 1239, 1109, 338, 3263, 607, 2901, 513, 1109, 8133, 610, 513, 3143, 780, 2690, 1383, 267, 1419, 267, 649, 991, 547, 11090, 606, 1109, 16942, 607, 28417, 610, 711, 269, 6684, 267, 649, 991, 547, 917, 952, 513, 1109, 974, 600, 17993, 610, 19380, 1109, 22829, 15471, 610, 23299, 264, 538, 513, 2016, 6474, 269, 898, 568, 606, 1383, 540, 513, 1109, 321, 2435, 1109, 6357, 2435, 1797, 1079, 264, 1109, 719, 2492, 1966, 780, 3086, 4952, 649, 2161, 606, 4757, 814, 513, 476, 736, 260, 4960, 540, 1373, 28417, 267, 1287, 621, 786, 1109, 2254, 581, 28417, 1109, 5976, 606, 476, 3199, 260, 4960, 269, 1109, 6546, 568, 267, 1022, 2016, 4757, 786, 723, 9352, 2625, 8494, 2065, 4093, 540, 2901, 1373, 28417, 610, 711, 780, 2108, 289, 1716, 537, 25651, 3892, 1109, 326, 1161, 721, 513, 1259, 547, 2203, 9352, 6364, 2042, 14325, 1607, 5506, 3892, 540, 1022, 9352, 6364, 2680, 568, 6045, 676, 1109, 289, 1716, 537, 25651, 3892, 269, 1109, 763, 1657, 4137, 4564, 513, 6751, 293, 585, 513, 12672, 537, 25651, 3892, 269, 634, 5506, 540, 838, 2459, 1465, 540, 606, 4757, 267, 1109, 335, 267, 28812, 519, 9936, 540, 713, 3892, 780, 3086, 4952, 952, 2576, 12134, 827, 519, 1109, 15893, 540, 15737, 602, 616, 28417, 538, 606, 28600, 540, 476, 736, 15737, 286, 1109, 1432, 3892, 786, 713, 1297, 1246, 286, 11088, 267, 519, 1297, 540, 15737, 666, 4268, 1063, 476, 271, 543, 476, 736, 267, 1818, 519, 6364, 513, 2625, 8494, 2065, 15768, 1871, 269, 2913, 779, 8263, 602, 1142, 4757, 568, 2901, 28417, 610, 711, 4830, 540, 1866, 543, 5205, 519, 1482, 12672, 537, 25651, 3892, 630, 5976, 519, 1482, 5506, 540, 838, 2459, 1465, 267, 533, 1040, 634, 1297, 540, 28417, 15737, 538, 606, 28600, 540, 476, 736, 15737, 786, 1287, 1246, 513, 23642, 6706, 3892, 780, 2108, 289, 30796, 3892, 3631, 513, 22753, 540, 4830, 543, 1482, 12672, 537, 25651, 6901, 14325, 30860, 602, 519, 5506, 540, 11287, 476, 275, 610, 476, 276, 28417, 15737, 568, 2362, 982, 4466, 4557, 610, 811, 28417, 15737, 269, 898, 568, 1317, 519, 6010, 17165, 540, 1367, 4757, 547, 581, 28417, 568, 1360, 1447, 269, 16874, 713, 5506, 1044, 8101, 267, 649, 1131, 723, 4397, 513, 3677, 1297, 540, 15737, 547, 581, 28417, 780, 763, 1297, 540, 4830, 12672, 537, 25651, 6901, 267, 20922, 676, 630, 333, 1070, 543, 519, 5506, 9936, 630, 335, 264, 540, 1142, 12672, 537, 25651, 3892, 616, 519, 1079, 6724, 540, 713, 3892, 780, 2690, 1383, 281, 769, 519, 4757, 28417, 2013, 1657, 267, 649, 1185, 476, 736, 4830, 15737, 547, 2015, 543, 519, 5506, 540, 838, 2459, 1465, 540, 1142, 4757, 729, 476, 271, 269, 273, 269, 9747, 267, 562, 284, 736, 543, 533, 284, 271, 269, 273, 538, 713, 2013, 780, 18744, 1310, 649, 917, 891, 1079, 6724, 267, 649, 666, 17250, 741, 6751, 293, 543, 595, 5263, 1210, 1022, 8579, 1907, 269, 1323, 4277, 971, 1907, 666, 581, 15600, 1934, 269, 1411, 1175, 991, 547, 7696, 1022, 5078, 1871, 540, 562, 543, 533, 1934, 547, 1294, 519, 2242, 780, 1103, 2110, 267, 12672, 537, 25651, 3892, 568, 1031, 585, 6901, 609, 1079, 2009, 4093, 269, 2201, 519, 824, 1688, 267, 23642, 6706, 3892, 568, 1031, 585, 513, 22753, 540, 4830, 543, 1482, 12672, 537, 25651, 6901, 780, 289, 1716, 537, 25651, 543, 23642, 6706, 14778, 1265, 741, 14021, 3156, 538, 519, 10724, 4804, 6389, 267, 552, 3052, 1421, 1362, 4328, 10211, 1219, 4954, 1562, 689, 1866, 267, 19003, 28417, 15737, 267, 3092, 269, 634, 2361, 540, 713, 4901, 568, 585, 4514, 1620, 543, 649, 786, 522, 2466, 602, 538, 713, 2376, 780, 1012, 2598, 4740, 31538, 17392, 1384, 1607, 3892, 4991, 922, 2012, 689, 519, 1249, 602, 519, 17831, 585, 782, 519, 2009, 4093, 616, 519, 1482, 610, 7833, 269, 3143, 6364, 814, 811, 8458, 540, 9648, 982, 519, 1866, 538, 713, 2013, 780, 2171, 946, 7833, 3892, 538, 2665, 1141, 649, 8263, 938, 1109, 719, 3699, 1109, 1729, 581, 1109, 3225, 958, 21483, 269, 1280, 1383, 267, 950, 649, 5066, 513, 4023, 18062, 267, 649, 2503, 1022, 540, 519, 3670, 2338, 547, 2097, 909, 609, 1109, 16029, 8458, 269, 901, 2625, 8494, 2065, 2680, 568, 513, 2013, 540, 7833, 3892, 585, 15768, 4093, 780, 30860, 875, 585, 1142, 1297, 602, 949, 2408, 593, 1283, 1247, 12902, 513, 18062, 267, 519, 5506, 568, 519, 1482, 815, 476, 272, 270, 277, 1109, 26140, 815, 476, 271, 269, 1704, 1040, 898, 568, 513, 2013, 540, 1109, 4462, 6134, 17392, 269, 6684, 267, 1109, 339, 1601, 532, 513, 4023, 11777, 28812, 849, 606, 1383, 540, 7833, 3892, 780, 5226, 714, 281, 1403, 596, 723, 513, 21678, 11777, 602, 2164, 538, 1261, 6758, 811, 1419, 982, 570, 5661, 269, 3973, 1018, 786, 581, 922, 5506, 3892, 7455, 1107, 1109, 4462, 6134, 610, 12672, 537, 25651, 2496, 12585, 281, 1109, 7712, 519, 11777, 1281, 711, 1267, 538, 1261, 6758, 610, 570, 5661, 609, 3160, 5506, 282, 8754, 267, 649, 3112, 946, 7833, 3892, 1934, 269, 5502, 267, 12672, 537, 25651, 3892, 1058, 581, 1031, 538, 713, 2013, 780, 1012, 5564, 514, 537, 25651, 1299, 5564, 30796, 14778, 692, 763, 5564, 514, 537, 25651, 3892, 267, 849, 1572, 519, 595, 1538, 5566, 3892, 267, 6227, 519, 2013, 950, 519, 2009, 4093, 616, 811, 982, 1079, 269, 9603, 547, 713, 2470, 267, 621, 568, 849, 1572, 519, 4937, 1242, 23642, 6706, 3892, 780, 2690, 1383, 267, 1282, 513, 2068, 6771, 267, 972, 666, 581, 1614, 7399, 585, 513, 2016, 1268, 269, 17616, 267, 519, 1268, 3112, 4579, 519, 2068, 282, 2034, 569, 267, 1352, 666, 4579, 543, 7639, 519, 2068, 543, 3791, 569, 267, 1352, 666, 4579, 543, 13151, 3518, 547, 519, 2068, 269, 1703, 616, 1614, 1114, 2009, 15768, 4093, 538, 713, 2013, 269, 9747, 922, 5506, 5205, 513, 5564, 514, 537, 25651, 3892, 269, 589, 6093, 6751, 293, 540, 971, 606, 4603, 568, 13269, 538, 519, 2630, 4137, 1384, 3086, 267, 952, 2576, 814, 547, 1265, 856, 875, 1082, 1004, 786, 4579, 519, 2068, 1851, 513, 2551, 540, 476, 1911, 271, 2043, 269, 3973, 267, 713, 786, 1586, 1106, 513, 22753, 540, 2789, 4830, 543, 1482, 5564, 514, 537, 25651, 6901, 269, 634, 1297, 540, 7783, 856, 540, 513, 2551, 1287, 5205, 513, 5564, 30796, 3892, 269, 898, 568, 513, 31633, 540, 519, 23642, 6706, 3892, 609, 811, 982, 1079, 15768, 4093, 269, 1284, 786, 522, 2466, 2417, 5717, 593, 713, 1523, 538, 713, 2376, 780, 6962, 692, 7212, 972, 616, 513, 1906, 824, 15768, 14778, 602, 1265, 741, 3156, 538, 3232, 1272, 267, 594, 723, 11658, 713, 4901, 1152, 547, 4122, 1031, 3283, 538, 713, 2376, 269, 1284, 723, 849, 2938, 875, 649, 666, 946, 891, 2035, 547, 2203, 938, 4478, 2621, 269, 594, 4126, 596, 723, 4121, 1945, 1713, 689, 1346, 1806, 269, 594, 723, 849, 26356, 540, 513, 1906, 2645, 585, 707, 17634, 3483, 269, 5901, 4730, 1472, 609, 1346, 547, 1451, 811, 12497, 562, 7572, 1734, 256, 0, 258, 1924, 531, 772, 553, 631, 622, 3901, 11986, 22398, 553, 476, 277, 590, 323, 12054, 6856, 476, 272, 630, 294, 534, 329, 559, 264, 910, 654, 2346, 11065, 574, 10964, 1962, 27482, 269, 4467, 692, 7343, 28508, 1299, 3798, 1243, 676, 1160, 3682, 12028, 32000, 12243, 454, 763, 21107, 2319, 693, 1160, 3682, 12028, 13658, 8240, 5161, 540, 513, 2824, 1895, 540, 1641, 4966, 267, 31851, 5830, 267, 543, 7688, 18544, 945, 723, 30363, 936, 476, 1015, 267, 1822, 17118, 3144, 676, 811, 982, 476, 1911, 2929, 3755, 269, 901, 2319, 2882, 938, 538, 27440, 19023, 7688, 15645, 2209, 543, 1641, 2339, 4966, 269, 3776, 21107, 4966, 267, 3262, 2066, 519, 1158, 267, 616, 22759, 3585, 8036, 1210, 938, 3102, 4808, 547, 2327, 602, 596, 4309, 519, 5207, 2298, 17118, 563, 347, 1635, 21965, 16199, 18474, 454, 290, 15811, 16199, 18474, 454, 26322, 19928, 12460, 454, 5226, 714, 8240, 23095, 281, 476, 15389, 280, 1923, 11192, 28055, 338, 281, 476, 276, 267, 7176, 272, 267, 280, 7830, 454, 26524, 281, 476, 1839, 1923, 28055, 338, 281, 476, 274, 267, 276, 2641, 692, 306, 9116, 902, 692, 780, 1892, 476, 272, 780, 2162, 7137, 1731, 583, 538, 328, 21583, 1207, 16988, 5789, 1575, 31703, 21536, 22462, 737, 889, 1731, 740, 531, 1695, 3267, 780, 1892, 589, 780, 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 ]
[ 267, 476, 1015, 270, 273, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 1556, 281, 476, 476, 280, 269, 280, 1948, 262, 338, 476, 2767, 267, 3374, 267, 4391, 692, 2710, 519, 1129, 3766, 1429, 30453, 630, 1934, 567, 3738, 780, 18814, 281, 3399, 540, 1362, 267, 13723, 267, 476, 1015, 270, 275, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 1321, 281, 476, 1684, 519, 2042, 593, 713, 30453, 23241, 4002, 476, 476, 1015, 269, 272, 1948, 262, 338, 476, 278, 267, 280, 267, 1428, 282, 681, 261, 306, 476, 1015, 269, 273, 692, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1015, 270, 280, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 1724, 281, 476, 1684, 519, 2042, 593, 713, 30453, 23241, 4002, 476, 476, 1015, 269, 272, 1948, 262, 338, 476, 1704, 267, 1839, 267, 2767, 267, 3066, 267, 4029, 267, 3451, 282, 681, 261, 306, 476, 1015, 269, 273, 692, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1015, 270, 1626, 454, 25275, 25275, 13117, 2525, 454, 5278, 1434, 3063, 2259, 2042, 593, 6810, 476, 280, 269, 280, 630, 300, 1173, 1400, 5811, 264, 616, 1934, 1384, 2710, 782, 2042, 593, 519, 12540, 1400, 5811, 7435, 719, 281, 630, 1934, 476, 30155, 9172, 9955, 547, 519, 12540, 1400, 5811, 7435, 719, 281, 630, 1934, 476, 3738, 780, 5278, 1434, 2259, 2042, 585, 3296, 476, 280, 269, 280, 689, 519, 1257, 3184, 2689, 630, 335, 7714, 476, 277, 2641, 268, 25118, 994, 732, 2042, 476, 6200, 267, 9818, 267, 10441, 267, 11793, 267, 543, 476, 13040, 269, 630, 763, 4267, 616, 538, 519, 1394, 540, 519, 1257, 1916, 25275, 25275, 13117, 2525, 454, 295, 310, 1691, 281, 476, 476, 1015, 269, 273, 1948, 262, 338, 476, 1428, 267, 1704, 267, 866, 282, 476, 1015, 269, 274, 1948, 262, 338, 476, 1428, 267, 1704, 267, 1839, 282, 681, 261, 306, 476, 1015, 269, 274, 692, 307, 583, 3645, 338, 593, 4466, 21325, 609, 707, 30263, 268, 11025, 270, 274, 270, 275, 912, 21581, 5850, 454, 15239, 8686, 8721, 5850, 692, 18814, 281, 3399, 540, 1362, 267, 13723, 267, 476, 1015, 270, 1240, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 1428, 281, 476, 476, 1015, 269, 274, 1948, 262, 338, 476, 280, 267, 2767, 267, 3066, 267, 3451, 267, 3374, 267, 4391, 267, 6078, 16963, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1015, 270, 2537, 454, 25275, 25275, 13117, 2525, 454, 5978, 8772, 7688, 786, 581, 13723, 267, 476, 1015, 270, 1839, 454, 2005, 786, 581, 936, 670, 310, 1724, 267, 670, 310, 1691, 267, 670, 310, 1428, 630, 5228, 519, 3896, 994, 263, 10175, 519, 8589, 2079, 30453, 1063, 670, 310, 1724, 543, 670, 310, 1691, 994, 17806, 6810, 912, 338, 793, 5750, 543, 2565, 1448, 1688, 8083, 630, 295, 310, 1724, 994, 332, 1173, 1400, 2079, 30453, 593, 3896, 1063, 670, 310, 1724, 543, 670, 310, 1691, 454, 3080, 9971, 3113, 1966, 609, 3193, 543, 1295, 543, 1102, 3005, 533, 1206, 630, 295, 310, 1691, 994, 15703, 2042, 689, 476, 1015, 269, 274, 630, 295, 310, 1428, 2020, 8855, 547, 3142, 707, 1353, 6656, 630, 279, 269, 276, 257, 1535, 476, 1556, 8442, 543, 9498, 2336, 25275, 25275, 13117, 2525, 454, 263, 1934, 616, 513, 7008, 540, 3732, 2042, 630, 5976, 4267, 264, 936, 670, 310, 1691, 689, 513, 3105, 7688, 12467, 263, 1934, 616, 930, 1806, 689, 476, 1015, 269, 272, 689, 513, 3105, 19496, 12467, 25275, 25275, 13117, 2525, 454, 295, 310, 1626, 281, 476, 476, 1556, 269, 272, 1948, 262, 338, 476, 272, 268, 1556, 267, 866, 268, 3451, 9642, 282, 681, 261, 306, 476, 1556, 269, 273, 692, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1015, 270, 1789, 454, 25275, 25275, 13117, 2525, 454, 8855, 602, 594, 786, 4584, 909, 670, 310, 1626, 585, 513, 3446, 1101, 3364, 593, 13638, 2336, 5970, 513, 5299, 4712, 547, 2490, 538, 547, 803, 2336, 25275, 25275, 13117, 2525, 454, 295, 310, 1704, 281, 476, 476, 1556, 269, 273, 1948, 262, 338, 476, 272, 268, 3066, 9642, 282, 681, 261, 306, 476, 1556, 269, 274, 692, 18814, 281, 3399, 540, 1362, 267, 13628, 267, 476, 1556, 270, 273, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 1240, 281, 476, 476, 1556, 269, 274, 1948, 262, 338, 476, 272, 268, 1556, 267, 1704, 267, 866, 267, 2537, 267, 1839, 9642, 282, 681, 261, 306, 476, 1556, 269, 275, 692, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1556, 270, 277, 454, 25275, 25275, 13117, 2525, 454, 5278, 1806, 689, 476, 1556, 269, 273, 543, 476, 1556, 269, 274, 15872, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 866, 281, 476, 476, 1556, 269, 275, 1948, 262, 338, 476, 272, 268, 280, 267, 1724, 267, 1704, 267, 866, 267, 2641, 267, 2537, 267, 3066, 282, 681, 261, 306, 476, 1691, 269, 272, 268, 1691, 269, 273, 692, 2710, 713, 3282, 521, 5585, 1966, 692, 5278, 1806, 689, 2042, 899, 476, 1556, 269, 275, 454, 5415, 1806, 689, 2042, 899, 476, 1556, 269, 275, 692, 18814, 281, 3399, 540, 1362, 267, 13723, 267, 476, 1556, 270, 279, 454, 25275, 25275, 13117, 2525, 454, 5978, 11359, 7688, 786, 581, 11728, 267, 476, 1556, 270, 1724, 454, 2005, 786, 581, 936, 670, 310, 1626, 6953, 310, 866, 630, 5228, 519, 3896, 994, 17806, 6810, 912, 1556, 269, 272, 8298, 1599, 3601, 543, 16755, 454, 1556, 269, 273, 14216, 643, 2510, 540, 5890, 11228, 8342, 31842, 976, 454, 1556, 269, 274, 1955, 14032, 7756, 2747, 454, 1556, 269, 275, 13565, 15580, 10819, 692, 8855, 547, 3142, 707, 1353, 6656, 630, 279, 269, 276, 257, 1535, 476, 1556, 8442, 543, 9498, 2336, 25275, 25275, 13117, 2525, 454, 14187, 2689, 2042, 585, 519, 7688, 689, 519, 3184, 2689, 2042, 538, 519, 1257, 630, 17989, 476, 278, 3953, 2187, 272, 268, 278, 267, 280, 268, 1556, 267, 1428, 268, 866, 267, 2537, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 736, 281, 476, 476, 1691, 269, 272, 1948, 262, 338, 476, 280, 267, 1428, 267, 1704, 267, 2537, 267, 3451, 282, 681, 261, 306, 476, 1691, 269, 273, 692, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1556, 270, 1724, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 2641, 281, 476, 476, 1691, 269, 275, 1948, 262, 338, 476, 866, 267, 2537, 267, 3066, 282, 681, 261, 306, 476, 1691, 269, 273, 454, 263, 8196, 519, 9864, 16755, 585, 1142, 1966, 1934, 454, 663, 519, 30453, 594, 5795, 538, 1362, 547, 1265, 519, 3193, 610, 25008, 585, 1142, 1966, 6393, 18814, 281, 3399, 540, 1362, 267, 13723, 267, 476, 1556, 270, 1428, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 2420, 281, 476, 476, 1691, 269, 273, 1948, 262, 338, 476, 272, 267, 274, 267, 280, 267, 1704, 267, 2767, 267, 3066, 267, 2004, 630, 10193, 1265, 519, 5021, 7443, 5148, 476, 1691, 269, 274, 1948, 262, 338, 476, 272, 267, 278, 692, 305, 261, 306, 476, 1321, 269, 272, 268, 1321, 269, 273, 692, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1556, 270, 736, 454, 25275, 25275, 13117, 2525, 454, 295, 310, 2537, 281, 476, 476, 1321, 269, 272, 1948, 262, 338, 476, 276, 268, 4029, 9642, 267, 476, 6078, 267, 6246, 282, 476, 1321, 269, 275, 1948, 262, 338, 476, 272, 267, 274, 267, 276, 267, 278, 282, 681, 261, 306, 476, 1724, 269, 272, 268, 273, 692, 18814, 281, 3399, 540, 1362, 267, 11728, 267, 476, 1556, 270, 2767, 454, 25275, 25275, 13117, 2525, 692, 763, 3803, 981, 585, 13878, 14530, 277, 269, 6349, 630, 1492, 631, 270, 310, 476, 272, 281, 1428, 3296, 264, 568, 593, 454, 26607, 11888, 630, 1321, 270, 277, 264, 689, 476, 1015, 281, 876, 910, 715, 3019, 538, 713, 4055, 563, 289, 2590, 707, 9498, 630, 27237, 513, 6049, 267, 28258, 611, 267, 543, 5514, 267, 610, 824, 4950, 5827, 3926, 2020, 9616, 281, 2201, 782, 15737, 585, 713, 1576, 267, 1376, 519, 1641, 1899, 856, 609, 454, 21316, 14530, 277, 267, 4553, 676, 8726, 3116, 568, 3617, 269, 2506, 5661, 1510, 713, 454, 11357, 915, 1899, 11249, 949, 711, 581, 7608, 2439, 8310, 8242, 593, 3267, 476, 279, 270, 2641, 270, 1001, 278, 454, 32046, 593, 3267, 476, 278, 270, 3066, 270, 1001, 278, 692, 3499, 0, 7775, 628, 23585, 306, 7685, 910, 32712, 14691, 6435, 692, 12709, 2433, 8081, 2433, 6732, 6435, 2433, 9119, 2433, 5295, 10022, 2433, 13106, 23585, 306, 7685, 13268, 720, 2433, 13106, 23585, 306, 7685, 270, 7343, 569, 23330, 1807, 692, 7775, 628, 23585, 306, 7685, 692, 15233, 23330, 1807, 454, 4019, 513, 11186, 610, 3017, 11346, 547, 513, 3126, 692, 11910, 532, 25627, 15233, 23330, 1807, 27331, 267, 306, 2020, 13640, 600, 4394, 692, 700, 910, 11186, 610, 3017, 11346, 590, 910, 26667, 3126, 692, 20373, 692, 3040, 634, 15233, 23330, 1807, 1109, 10818, 10039, 519, 11346, 1269, 299, 259, 1109, 1729, 519, 3126, 1269, 306, 259, 1109, 6748, 519, 10026, 4238, 585, 3126, 281, 15285, 267, 12045, 6041, 267, 543, 8691, 676, 513, 9971, 780, 14300, 692, 3436, 4399, 9507, 346, 5976, 4153, 3847, 7268, 9507, 346, 7775, 628, 23585, 306, 7685, 4153, 2431, 2567, 14204, 3436, 4399, 9507, 346, 306, 272, 348, 19749, 498, 315, 9507, 346, 8620, 4153, 3847, 20719, 273, 8703, 333, 9574, 315, 9507, 346, 299, 16331, 518, 516, 299, 4153, 3847, 3799, 267, 272, 21726, 9368, 9385, 2431, 7751, 454, 12276, 9507, 346, 306, 272, 12453, 19749, 498, 7346, 8999, 7684, 3709, 346, 333, 2410, 284, 2410, 271, 3686, 3867, 3189, 9507, 346, 31236, 3686, 4153, 28783, 3189, 22364, 15631, 271, 269, 271, 1410, 31765, 276, 269, 271, 29210, 2410, 271, 269, 271, 1410, 12453, 346, 273, 3686, 3867, 346, 333, 12453, 7346, 9507, 346, 299, 16331, 518, 516, 299, 12453, 4153, 3847, 20719, 333, 2410, 267, 2410, 272, 2410, 267, 2410, 343, 4153, 2431, 7751, 630, 272, 994, 3436, 4399, 9507, 23334, 272, 348, 19749, 498, 315, 9507, 346, 7343, 569, 23330, 1807, 4153, 3847, 7268, 3847, 314, 346, 343, 8703, 273, 7346, 9507, 346, 11459, 3686, 3867, 273, 18511, 278, 343, 315, 9507, 346, 11459, 15396, 274, 12101, 3847, 24560, 9507, 346, 11459, 9574, 343, 9368, 316, 315, 2431, 3910, 315, 9507, 346, 306, 272, 4153, 2431, 7751, 454, 12276, 9507, 23334, 272, 12453, 19749, 498, 2410, 16928, 2410, 7346, 9507, 346, 299, 16331, 518, 516, 299, 12453, 4153, 3847, 20719, 271, 2410, 267, 2410, 274, 2410, 267, 2410, 343, 4153, 2431, 264, 346, 266, 2410, 28590, 2410, 7346, 9507, 346, 299, 16331, 518, 516, 299, 12453, 4153, 3847, 20719, 272, 2410, 267, 2410, 274, 2410, 267, 2410, 343, 4153, 2431, 264, 346, 266, 7346, 8999, 7684, 3709, 346, 333, 2410, 284, 2410, 273, 3686, 3867, 3189, 9507, 346, 31236, 3686, 4153, 28783, 3189, 22364, 15631, 271, 269, 271, 1410, 31765, 276, 269, 271, 29210, 2410, 271, 269, 271, 1410, 14990, 3847, 20719, 268, 2410, 279, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 12453, 2410, 333, 2410, 266, 2410, 1428, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 272, 12453, 2410, 333, 2410, 266, 2410, 274, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 273, 12453, 2410, 333, 2410, 268, 2410, 866, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 274, 12453, 2410, 333, 2410, 266, 2410, 274, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 12453, 266, 2410, 2420, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 272, 12453, 268, 2410, 3451, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 273, 12453, 268, 2410, 1321, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 274, 12453, 266, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 275, 12453, 2410, 346, 333, 3686, 3867, 346, 273, 12453, 266, 2410, 346, 273, 3686, 3867, 346, 333, 12453, 2410, 346, 333, 3686, 3867, 346, 273, 12453, 268, 2410, 275, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 272, 12453, 2410, 346, 333, 3686, 3867, 346, 273, 12453, 266, 2410, 277, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 273, 12453, 2410, 346, 333, 3686, 3867, 346, 273, 12453, 268, 2410, 275, 2410, 2410, 346, 273, 3686, 3867, 346, 333, 2410, 266, 2410, 274, 12453, 2410, 346 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3467, 10136, 267, 476, 2735, 282, 14687, 609, 667, 784, 534, 267, 17294, 540, 1715, 3840, 267, 476, 2735, 3248, 9188, 597, 748, 540, 14335, 513, 6830, 693, 15281, 698, 4673, 267, 476, 1960, 282, 23083, 547, 3943, 4622, 454, 1729, 4444, 12733, 540, 1715, 3840, 267, 476, 1708, 282, 25009, 547, 11349, 12560, 454, 30447, 609, 2296, 30256, 267, 476, 10711, 282, 15920, 16939, 547, 23747, 7345, 2676, 13078, 282, 11392, 12927, 906, 267, 476, 18684, 282, 11887, 547, 15292, 1996, 594, 549, 638, 12251, 2676, 21709, 282, 4739, 344, 3609, 267, 476, 21172, 282, 5360, 1622, 540, 3943, 10136, 267, 476, 18891, 282, 16245, 338, 6830, 693, 454, 301, 328, 698, 4673, 267, 476, 22659, 282, 12134, 585, 811, 10136, 267, 476, 24241, 282, 11392, 3643, 689, 8262, 631, 1926, 2676, 21854, 282, 538, 4323, 676, 594, 549, 638, 12251, 593, 700, 22389, 267, 9753, 10136, 547, 2611, 593, 454, 3698, 2400, 267, 476, 18597, 282, 27416, 267, 476, 25248, 282, 9753, 10783, 674, 1258, 1084, 659, 547, 581, 27762, 909, 2676, 25248, 282, 22262, 2806, 6511, 638, 529, 547, 4323, 1715, 4789, 17260, 267, 476, 27149, 269, 630, 289, 12360, 700, 10052, 5736, 264, 2201, 454, 331, 1172, 528, 2243, 267, 476, 11260, 282, 7319, 12923, 5487, 4446, 516, 607, 17294, 267, 476, 4350, 282, 1010, 3800, 454, 1721, 20237, 540, 4516, 267, 476, 22659, 282, 694, 3278, 1978, 4095, 8783, 338, 267, 476, 20969, 282, 13976, 454, 3228, 693, 15281, 698, 4673, 267, 476, 21327, 282, 27416, 267, 476, 25908, 282, 2932, 538, 700, 22389, 32003, 267, 476, 26297, 2676, 25375, 269, 815, 289, 756, 269, 284, 281, 12852, 537, 731, 267, 700, 262, 2750, 6244, 819, 632, 3057, 638, 529, 632, 9324, 517, 6807, 630, 305, 269, 590, 563, 290, 1421, 476, 6245, 280, 5148, 5244, 2006, 267, 6196, 3204, 830, 543, 674, 1258, 1084, 659, 563, 9202, 281, 19239, 3627, 8176, 476, 7277, 272, 268, 6642, 279, 18004, 769, 4789, 595, 877, 1677, 4516, 2311, 1323, 454, 28095, 281, 667, 12447, 3627, 853, 32080, 476, 9264, 271, 268, 6642, 276, 18004, 14033, 17842, 3447, 730, 2311, 0, 9188, 330, 16694, 3799, 4700, 4746, 5219, 547, 607, 513, 11380, 16694, 2780, 267, 513, 2780, 602, 9308, 568, 519, 2450, 540, 513, 21641, 2780, 855, 568, 2966, 547, 1599, 607, 513, 19335, 1770, 267, 899, 513, 18376, 2780, 269, 30325, 17084, 4688, 2230, 1317, 540, 741, 11741, 2450, 543, 616, 3335, 10169, 3677, 982, 513, 21641, 610, 15291, 2780, 267, 1312, 538, 13691, 543, 6895, 2450, 267, 855, 616, 711, 2966, 547, 581, 15409, 269, 30325, 17084, 798, 711, 723, 6007, 4390, 543, 267, 1247, 789, 616, 15409, 267, 3112, 581, 1031, 585, 5985, 7384, 563, 763, 2012, 2501, 689, 9256, 18376, 609, 21641, 563, 26835, 909, 547, 4266, 593, 519, 5767, 7835, 538, 5769, 16166, 609, 513, 1863, 12353, 20394, 689, 5680, 31638, 269, 15012, 547, 24049, 1631, 563, 16158, 31638, 781, 2875, 8924, 5180, 1575, 786, 948, 596, 547, 1732, 10891, 707, 1362, 8430, 543, 3251, 593, 1283, 540, 10467, 543, 6780, 269, 3367, 2859, 9732, 8266, 540, 5131, 10374, 523, 15745, 7896, 454, 288, 15745, 2110, 10273, 568, 513, 1259, 547, 1118, 513, 1279, 5680, 2232, 10156, 269, 8347, 713, 1592, 540, 1863, 2533, 269, 3367, 2859, 9732, 12749, 476, 1015, 15306, 16301, 540, 476, 1001, 276, 454, 763, 1034, 2442, 5680, 31638, 8847, 540, 476, 1001, 276, 269, 3367, 2859, 19314, 763, 7046, 3590, 3955, 28947, 630, 5308, 296, 264, 2203, 11225, 513, 13033, 5943, 547, 2936, 10873, 538, 5722, 6106, 269, 2422, 713, 13561, 3391, 547, 5635, 1862, 3367, 2859, 9732, 20663, 15339, 5530, 6651, 454, 1607, 5680, 31638, 1353, 3391, 6257, 519, 1114, 2694, 540, 513, 2780, 1062, 543, 741, 1894, 269, 3367, 2859, 9732, 1432, 3657, 8416, 5440, 3098, 888, 15187, 1740, 5440, 1108, 4016, 547, 11768, 540, 513, 3060, 269, 1215, 1114, 9136, 538, 513, 3060, 616, 4448, 547, 1142, 824, 543, 875, 789, 5968, 568, 1862, 3367, 2859, 9732, 0, 4002, 519, 16786, 585, 19421, 540, 3237, 13723, 3781, 538, 1715, 31689, 729, 513, 6643, 827, 1514, 2923, 563, 763, 13186, 267, 18799, 676, 519, 1715, 31689, 17318, 4972, 267, 729, 519, 1101, 540, 922, 2186, 585, 519, 3196, 267, 24084, 2287, 3237, 865, 789, 666, 948, 741, 3214, 6330, 741, 2479, 21608, 3059, 1158, 563, 29261, 4862, 689, 513, 5450, 549, 26551, 3993, 945, 6487, 519, 4158, 2427, 540, 1514, 2923, 782, 1932, 1134, 563, 14881, 4076, 5030, 621, 269, 594, 917, 1018, 519, 2956, 540, 1514, 2923, 609, 3237, 543, 3214, 2223, 8349, 25595, 1767, 269, 2701, 568, 519, 3993, 540, 2549, 7701, 25595, 267, 513, 476, 1428, 4458, 6040, 689, 5800, 3213, 10181, 4594, 267, 4171, 3239, 4682, 10194, 1310, 1352, 5747, 676, 11980, 538, 5239, 476, 1001, 273, 563, 30789, 3214, 2922, 2228, 568, 1100, 2653, 4305, 267, 855, 4966, 2161, 3237, 543, 7855, 616, 4742, 811, 5260, 11803, 269, 1548, 789, 991, 547, 798, 1631, 568, 1376, 519, 6643, 609, 741, 1453, 1256, 4505, 563, 14071, 2661, 538, 606, 593, 24683, 663, 2528, 543, 602, 593, 24683, 663, 2528, 568, 15774, 2443, 621, 779, 538, 938, 5321, 267, 621, 779, 538, 938, 2069, 5624, 2223, 1767, 20908, 572, 16019, 267, 13653, 540, 2405, 7007, 18712, 563, 10527, 6643, 814, 547, 1376, 4505, 543, 3237, 991, 547, 581, 3222, 540, 1018, 741, 3214, 616, 3257, 543, 602, 6238, 609, 267, 2048, 30750, 267, 1018, 8910, 596, 798, 593, 519, 4950, 2221, 286, 262, 7536, 307, 15957, 1767, 972, 568, 1152, 1259, 3237, 666, 2327, 789, 2141, 1205, 606, 9237, 2626, 547, 602, 2243, 563, 2108, 27736, 991, 547, 3972, 741, 3237, 2614, 547, 2911, 547, 873, 267, 3237, 991, 547, 3972, 741, 3214, 2614, 547, 2285, 873, 930, 7115, 267, 855, 1128, 650, 519, 2418, 543, 519, 4656, 602, 2115, 547, 979, 3297, 621, 2223, 1352, 1767, 563, 16391, 9088, 2161, 519, 1544, 568, 547, 3180, 811, 11925, 899, 713, 2429, 519, 1032, 563, 1700, 2060, 6119, 689, 634, 8225, 4964, 454, 15100, 476, 1001, 277, 26396, 9012, 0, 2304, 6605, 1670, 2079, 540, 519, 7613, 540, 693, 20393, 1624, 760, 1388, 5314, 30833, 676, 513, 15693, 689, 1000, 731, 690, 6759, 571, 630, 1704, 628, 524, 4700, 1765, 338, 4822, 12996, 454, 309, 619, 542, 540, 16680, 2228, 281, 476, 866, 808, 3198, 476, 1001, 272, 454, 15648, 9736, 476, 1001, 272, 3627, 25067, 1299, 25860, 267, 13456, 563, 17220, 4750, 540, 27777, 334, 1105, 2801, 1108, 454, 24127, 476, 2420, 267, 17136, 476, 277, 267, 3817, 476, 278, 5392, 1700, 4037, 275, 267, 5437, 270, 20103, 476, 1001, 273, 454, 1692, 547, 25737, 454, 25938, 1807, 267, 631, 269, 543, 717, 1258, 330, 1171, 545, 345, 267, 590, 269, 630, 1001, 273, 1070, 19848, 1670, 2079, 540, 519, 7613, 540, 693, 20393, 1624, 760, 1388, 5314, 30833, 676, 513, 15693, 689, 1000, 731, 690, 6759, 571, 630, 1704, 628, 524, 4700, 1765, 338, 4822, 12996, 269, 2271, 269, 808, 269, 27777, 334, 1105, 2801, 565, 1421, 476, 2420, 281, 476, 278, 5392, 1700, 4037, 275, 269, 8222, 281, 476, 1015, 269, 1911, 273, 270, 10394, 269, 11277, 277, 454, 268, 17136, 2228, 281, 476, 1321, 667, 4488, 476, 1001, 273, 454, 268, 19405, 540, 16680, 2228, 281, 476, 866, 808, 3198, 476, 1001, 272, 454, 268, 2494, 11245, 20504, 539, 281, 476, 273, 667, 4488, 476, 1001, 271, 454, 268, 2494, 11245, 4860, 2213, 281, 476, 2764, 715, 10976, 476, 1001, 271, 454, 268, 2494, 11245, 1234, 18727, 281, 476, 274, 10790, 312, 476, 1001, 271, 454, 268, 693, 331, 27053, 268, 11484, 760, 1388, 12760, 3248, 268, 22787, 31096, 3248, 268, 14715, 2589, 3248, 30999, 760, 1388, 5314, 540, 519, 693, 20393, 568, 835, 540, 519, 1034, 7928, 15259, 572, 748, 22114, 540, 519, 693, 20393, 269, 898, 568, 27537, 676, 519, 28455, 540, 519, 1101, 17818, 26485, 609, 519, 1666, 1791, 851, 540, 519, 1624, 760, 1388, 5642, 269, 634, 1034, 21483, 2014, 540, 519, 1624, 760, 1388, 5314, 568, 513, 22787, 4524, 269, 634, 693, 331, 27053, 268, 11484, 760, 1388, 12760, 949, 1291, 547, 32560, 540, 519, 2230, 585, 1199, 1638, 320, 1073, 14075, 1092, 267, 11983, 10260, 543, 9451, 13887, 16050, 269, 901, 538, 2490, 949, 1291, 547, 1082, 12214, 2589, 269, 634, 15693, 689, 570, 1189, 690, 6759, 571, 267, 8828, 12996, 267, 4951, 9864, 693, 331, 27053, 268, 11484, 760, 1388, 12760, 543, 4843, 606, 12623, 11496, 538, 2497, 543, 3337, 540, 25180, 999, 585, 519, 8043, 543, 13285, 1472, 519, 585, 29546, 3172, 636, 269, 14645, 9736, 476, 1001, 272, 3627, 25067, 1299, 25860, 267, 13456, 269, 0, 21581, 21806, 540, 8331, 10993, 454, 22498, 779, 2029, 9541, 5512, 519, 4182, 547, 3035, 922, 2230, 3408, 543, 6602, 3853, 267, 855, 519, 10124, 849, 4324, 519, 1857, 1934, 593, 3618, 269, 634, 5010, 1436, 540, 8331, 4066, 814, 2047, 8329, 547, 2472, 543, 2533, 538, 519, 4610, 540, 1072, 543, 4915, 267, 6283, 267, 1857, 3106, 267, 7082, 5370, 267, 1648, 543, 1604, 267, 1344, 2029, 543, 4853, 7607, 269, 1306, 922, 8030, 267, 3744, 543, 1099, 5505, 3343, 856, 713, 5736, 779, 1390, 10278, 1765, 300, 1513, 1765, 22498, 543, 922, 5010, 4891, 616, 2907, 2870, 513, 1007, 5951, 540, 16779, 4066, 602, 786, 1689, 1272, 593, 3047, 585, 519, 1732, 563, 10287, 20331, 609, 3163, 593, 12108, 2336, 11514, 25068, 281, 634, 5920, 540, 5409, 31904, 1281, 711, 13822, 23596, 618, 676, 519, 4972, 540, 16470, 540, 713, 3896, 610, 519, 1344, 267, 2472, 610, 2533, 8659, 972, 514, 269, 1280, 824, 982, 17101, 2238, 971, 607, 4108, 15377, 543, 5651, 1446, 267, 28054, 543, 28046, 4609, 267, 519, 4972, 540, 16470, 1281, 711, 3635, 1022, 21107, 1852, 936, 519, 1344, 596, 949, 1265, 693, 891, 6753, 269, 6270, 6402, 616, 3177, 5812, 609, 519, 7150, 3483, 540, 713, 667, 7495, 3896, 269, 0, 2467, 616, 476, 5379, 269, 278, 2929, 4892, 4867, 2713, 538, 6710, 267, 2687, 547, 17227, 13163, 1239, 5950, 593, 13723, 267, 855, 972, 616, 5458, 4008, 3604, 1369, 602, 2551, 563, 24464, 543, 2021, 779, 6710, 2557, 5654, 5176, 9838, 909, 2394, 2085, 476, 1240, 269, 1809, 1175, 607, 2021, 4283, 741, 476, 736, 338, 267, 741, 1981, 540, 6710, 26389, 13497, 543, 1454, 2362, 982, 519, 1981, 585, 2367, 269, 6468, 1063, 519, 6502, 540, 476, 1839, 543, 476, 4097, 1995, 513, 6710, 2557, 476, 277, 269, 280, 6871, 2798, 2362, 982, 2367, 269, 634, 4008, 7934, 538, 6710, 3085, 1406, 2253, 547, 1256, 856, 2394, 789, 1205, 547, 741, 476, 2412, 338, 563, 10135, 3633, 3951, 281, 667, 2643, 534, 8891, 549, 327, 3342, 270, 13914, 3682, 28698, 454, 10190, 267, 1310, 930, 1296, 540, 4742, 513, 3787, 811, 1256, 267, 2021, 1995, 1776, 7934, 607, 789, 2085, 269, 6468, 1063, 519, 6502, 540, 476, 4792, 543, 476, 10619, 723, 513, 6710, 2557, 602, 779, 476, 273, 269, 280, 6871, 2798, 2362, 267, 543, 936, 519, 2085, 540, 476, 4037, 602, 31148, 547, 476, 278, 269, 272, 2798, 563, 10521, 1114, 2188, 616, 693, 1404, 3297, 891, 10616, 281, 769, 741, 476, 736, 338, 267, 2021, 2253, 3843, 547, 5104, 24327, 1920, 9021, 609, 960, 267, 543, 538, 741, 4587, 1296, 267, 789, 28231, 519, 2628, 3604, 602, 723, 19017, 2429, 741, 2729, 563, 2005, 779, 1100, 14626, 2064, 602, 519, 7934, 5526, 1175, 607, 2021, 5734, 741, 6305, 10285, 1296, 281, 634, 3328, 2085, 693, 799, 1977, 2021, 723, 741, 1101, 1126, 568, 476, 2918, 269, 968, 6546, 779, 950, 2021, 543, 2367, 979, 547, 960, 543, 723, 3885, 267, 543, 602, 779, 950, 741, 2729, 2731, 1376, 547, 8428, 2223, 1767, 29315, 9980, 332, 12329, 267, 13030, 7022, 585, 1920, 2804, 3354, 693, 519, 2817, 6468, 779, 4521, 4741, 269, 968, 16352, 1453, 543, 1373, 513, 4807, 538, 2221, 779, 960, 1604, 568, 513, 2462, 1981, 3815, 585, 6710, 3034, 6546, 27521, 2443, 2348, 1453, 2443, 3587, 7805, 950, 519, 1239, 568, 8268, 1256, 2417, 269, 968, 5629, 596, 2461, 3168, 693, 519, 4527, 540, 1453, 543, 519, 1249, 602, 2021, 616, 519, 5318, 5354, 540, 2582, 3237, 267, 596, 1294, 513, 1454, 3152, 3017, 538, 6710, 2223, 9980, 332, 12329, 1767, 269, 2755, 972, 779, 513, 476, 277, 269, 280, 6871, 1448, 7934, 538, 519, 6710, 2557, 1063 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1299, 5450, 345, 3455, 267, 476, 1001, 272, 282, 13535, 1143, 534, 1696, 620, 1421, 476, 1708, 272, 282, 11619, 1676, 1299, 4144, 1805, 553, 334, 267, 476, 1001, 272, 1040, 1280, 3236, 267, 4469, 534, 698, 514, 543, 5450, 345, 3455, 630, 1001, 272, 264, 1336, 1453, 19486, 9504, 4930, 2547, 6325, 950, 789, 941, 3254, 593, 513, 9504, 3613, 344, 1194, 2985, 855, 607, 519, 1034, 6325, 950, 3254, 593, 513, 27429, 3613, 344, 1194, 2985, 269, 589, 811, 2487, 1353, 1336, 4079, 9907, 476, 2004, 547, 476, 3199, 4718, 9504, 607, 3407, 4358, 1448, 585, 1072, 543, 2564, 1344, 1813, 547, 922, 13418, 267, 3795, 267, 22521, 640, 267, 2649, 2225, 267, 6677, 529, 8864, 267, 543, 23440, 282, 2034, 1152, 547, 835, 779, 4387, 630, 295, 340, 1143, 534, 1696, 620, 1421, 476, 1708, 272, 1040, 1452, 4681, 941, 849, 6462, 676, 513, 2147, 1353, 6192, 538, 476, 1001, 272, 630, 3725, 822, 2917, 1696, 620, 12175, 9504, 779, 1702, 5108, 1062, 568, 811, 26227, 267, 10452, 1699, 1702, 543, 5380, 630, 294, 541, 7615, 267, 476, 1708, 273, 282, 11619, 1676, 1299, 4144, 1805, 553, 334, 267, 476, 1001, 272, 264, 543, 568, 9228, 607, 971, 630, 294, 541, 7615, 267, 476, 1708, 273, 282, 13535, 1143, 534, 1696, 620, 1421, 476, 1708, 272, 1040, 1452, 21644, 3100, 547, 29387, 1022, 4145, 3755, 723, 827, 17258, 267, 2953, 1145, 267, 543, 1264, 28467, 630, 295, 340, 1143, 534, 1696, 620, 1421, 476, 1708, 272, 264, 543, 568, 2693, 5280, 2059, 676, 519, 1249, 602, 5616, 16034, 9504, 4930, 1360, 1164, 538, 3406, 2164, 267, 2810, 4598, 630, 295, 340, 1143, 534, 1696, 620, 1421, 476, 1708, 272, 1916, 13828, 9504, 543, 15610, 27429, 29954, 790, 547, 513, 9243, 1448, 540, 2070, 543, 3102, 6881, 540, 2326, 630, 294, 541, 7615, 267, 476, 1708, 273, 282, 5682, 7322, 1299, 31481, 267, 476, 1001, 279, 1040, 12474, 2079, 2090, 723, 1336, 9504, 4930, 2270, 811, 21678, 1893, 982, 15610, 27429, 267, 2705, 713, 3587, 1447, 3020, 950, 9236, 9504, 4930, 1996, 15610, 27429, 779, 2228, 7160, 630, 16675, 7322, 1299, 31481, 267, 476, 1001, 279, 282, 11619, 1676, 1299, 4144, 1805, 553, 334, 267, 476, 1001, 272, 1040, 901, 9186, 1377, 849, 11081, 609, 519, 1297, 540, 26941, 1500, 547, 519, 9504, 2376, 547, 519, 1448, 1141, 972, 568, 1100, 3152, 9186, 950, 3379, 547, 4930, 30363, 676, 4966, 630, 16675, 7322, 1299, 31481, 267, 476, 1001, 279, 1040, 9504, 779, 4930, 4043, 547, 581, 3476, 267, 5732, 607, 513, 1267, 540, 922, 2539, 1942, 547, 3132, 630, 16675, 7322, 1299, 31481, 267, 476, 1001, 279, 1040, 15788, 267, 9504, 779, 17258, 543, 10727, 3928, 616, 2810, 607, 15610, 27429, 779, 616, 13302, 630, 294, 541, 7615, 267, 476, 1708, 273, 282, 11619, 1676, 1299, 4144, 1805, 553, 334, 267, 476, 1001, 272, 1916, 1607, 7678, 267, 607, 1134, 607, 9504, 779, 22231, 267, 729, 3226, 2312, 1282, 519, 6855, 609, 519, 3135, 1185, 513, 7372, 27614, 540, 15769, 543, 20334, 267, 693, 835, 1448, 476, 14321, 1196, 1080, 829, 5662, 630, 294, 541, 7615, 267, 476, 1708, 273, 1040, 634, 3586, 5698, 1063, 15769, 609, 18312, 16752, 8507, 538, 519, 32344, 267, 6325, 543, 7361, 28102, 3795, 630, 16675, 7322, 1299, 31481, 267, 476, 1001, 279, 264, 540, 3584, 11341, 547, 519, 6855, 267, 799, 676, 4989, 476, 2537, 267, 476, 1708, 271, 3769, 476, 14596, 271, 3817, 2066, 782, 4654, 630, 294, 541, 7615, 267, 476, 1708, 273, 1916, 2108, 8702, 547, 19427, 2528, 267, 1141, 2025, 543, 1007, 2923, 2458, 728, 267, 1141, 29065, 543, 9746, 2923, 12969, 1848, 1107, 23514, 9469, 267, 476, 1220, 277, 454, 13828, 15610, 27429, 543, 9504, 1921, 547, 519, 1523, 540, 7104, 1702, 267, 1498, 9504, 547, 513, 3152, 4110, 269, 7179, 679, 9871, 2664, 553, 2832, 547, 2087, 519, 1702, 540, 835, 1268, 630, 294, 541, 7615, 267, 476, 1708, 273, 264, 6466, 1702, 2950, 899, 9504, 2832, 547, 2087, 519, 1702, 540, 519, 3003, 2146, 630, 297, 523, 9469, 267, 476, 1220, 277, 1040, 901, 5036, 9504, 909, 585, 3152, 1967, 538, 2686, 267, 1514, 543, 2518, 19427, 3157, 267, 782, 540, 799, 616, 13087, 676, 9504, 779, 11938, 540, 6639, 19427, 269, 1306, 513, 1267, 267, 952, 649, 941, 547, 2736, 856, 1142, 540, 23514, 9469, 685, 630, 1220, 272, 264, 476, 276, 3157, 540, 2923, 19427, 899, 513, 22774, 689, 513, 24388, 267, 607, 3254, 538, 7612, 476, 272, 267, 1131, 1294, 875, 9504, 1500, 519, 1034, 540, 513, 2489, 7678, 540, 2923, 19427, 2094, 621, 9250, 538, 476, 1220, 272, 563, 8201, 476, 272, 1403, 2923, 19427, 1223, 581, 18195, 539, 883, 519, 2947, 3157, 602, 957, 8195, 585, 621, 547, 2049, 267, 621, 1223, 581, 6719, 899, 713, 269, 1284, 666, 1287, 811, 3362, 1294, 875, 9504, 729, 2111, 547, 31194, 593, 519, 3157, 540, 2923, 19427, 563, 1607, 1184, 4016, 547, 519, 7857, 1436, 540, 2923, 1543, 543, 519, 1259, 621, 666, 2095, 2066, 5867, 630, 297, 523, 9469, 267, 476, 1220, 272, 1040, 898, 849, 2882, 519, 2029, 649, 946, 547, 1569, 713, 7857, 1242, 1543, 543, 875, 513, 1297, 540, 2645, 723, 2097, 1927, 883, 835, 267, 3226, 16389, 563, 1607, 1184, 11393, 1820, 679, 9871, 2664, 553, 1317, 540, 519, 2604, 547, 581, 26227, 269, 898, 849, 6087, 543, 27422, 606, 12477, 2203, 540, 1702, 5108, 267, 5373, 3593, 25949, 540, 513, 16126, 593, 10766, 26283, 543, 7453, 25327, 540, 6392, 630, 297, 523, 9469, 267, 476, 1220, 272, 282, 23514, 9469, 267, 476, 1220, 277, 282, 11619, 1676, 1299, 4144, 1805, 753, 334, 267, 476, 1001, 272, 1040, 27429, 729, 3500, 547, 3048, 622, 593, 6639, 8441, 538, 519, 476, 1960, 271, 338, 543, 2038, 476, 1220, 271, 338, 543, 3592, 4682, 22625, 630, 300, 612, 1676, 1299, 4144, 1805, 753, 334, 267, 476, 1001, 272, 282, 12275, 7615, 267, 476, 1708, 273, 264, 6466, 9504, 729, 4481, 2919, 547, 1491, 5413, 540, 1018, 519, 4950, 1223, 6488, 3755, 630, 294, 541, 7615, 267, 476, 1708, 273, 1916, 1607, 1184, 4016, 547, 519, 1259, 4213, 543, 6080, 11753, 23276, 267, 4839, 4221, 883, 1007, 9922, 621, 1185, 711, 5892, 1185, 1569, 547, 610, 2534, 538, 630, 297, 523, 9469, 267, 476, 1220, 272, 1040, 901, 729, 513, 1883, 4316, 585, 15610, 27429, 1317, 621, 1185, 971, 513, 2178, 10639, 585, 17258, 269, 26264, 16654, 4930, 267, 552, 13981, 267, 17245, 18297, 2533, 267, 513, 4276, 609, 2817, 22127, 782, 2097, 547, 2247, 607, 7399, 950, 538, 4641, 519, 2754, 22376, 1375, 880, 569, 2919, 513, 3896, 1152, 607, 513, 2063, 18992, 269, 898, 607, 2094, 9715, 19257, 3554, 268, 31812, 267, 799, 814, 5063, 2919, 513, 2178, 1514, 2923, 5859, 267, 5355, 621, 779, 2773, 538, 713, 1184, 547, 930, 4110, 563, 310, 7364, 849, 3085, 1406, 8209, 31194, 593, 713, 1184, 267, 1498, 621, 1281, 4324, 689, 621, 2094, 621, 568, 1419, 1031, 547, 3950, 1344, 689, 824, 4780, 3022, 2959, 269, 1280, 1383, 267, 31733, 11655, 949, 946, 9504, 547, 3950, 17374, 543, 2015, 9504, 513, 21438, 23789, 540, 1344, 689, 9413, 267, 14676, 267, 543, 8613, 610, 18297, 3126, 563, 1607, 1184, 4016, 547, 519, 1259, 3755, 1617, 527, 2532, 547, 1569, 543, 1118, 946, 540, 1344, 630, 297, 523, 9469, 267, 476, 1220, 272, 1040, 901, 568, 1141, 9504, 814, 4597, 539, 269, 13038, 2090, 1336, 602, 1256, 952, 9504, 729, 9763, 607, 5732, 1447, 23674, 543, 5924, 922, 3157, 585, 10451, 543, 2357, 4328, 1344, 729, 7164, 267, 922, 13418, 11251, 621, 16900, 538, 519, 1259, 3755, 4941, 547, 1569, 1344, 630, 294, 541, 7615, 267, 476, 1708, 273, 282, 13535, 1143, 534, 1696, 620, 1421, 476, 1708, 272, 282, 11619, 1676, 1299, 4144, 1805, 553, 334, 267, 476, 1001, 272, 1040, 7179, 2326, 616, 547, 3533, 856, 540, 4266, 3379, 547, 3059, 2923, 543, 666, 1406, 581, 15600, 538, 519, 4090, 607, 3362, 607, 593, 513, 5100, 3926, 269, 7179, 2326, 666, 1406, 581, 3838, 610, 3533, 4945, 539, 998, 547, 4839, 4221, 2035, 269, 5047, 267, 5616, 779, 3406, 5690, 7375, 9504, 936, 15610, 27429, 779, 3896, 267, 4259, 909, 606, 5413, 585, 9504, 538, 2474, 540, 3432, 269, 1306, 513, 1267, 267, 621, 779, 1455, 585, 1004, 547, 3406, 9504, 607, 789, 2347, 824, 3527, 610, 616, 538, 3742, 6643, 269, 1280, 1383, 267, 593, 513, 2442, 14480, 613, 976, 543, 28463, 976, 15264, 267, 14480, 613, 517, 1556, 338, 543, 667, 5417, 625, 267, 519, 14747, 1419, 946, 547, 9504, 547, 1249, 2638, 968, 517, 25101, 892, 543, 621, 779, 9115, 723, 3803, 2161, 538, 513, 15739, 32735, 593, 1022, 1888, 563, 24292, 19427, 6257, 519, 2702, 540, 3755, 547, 8362, 3565, 547, 519, 5137, 540, 2528, 630, 297, 523, 9469, 267, 476, 1220, 272, 264, 543, 9504, 18795, 693, 519, 2295, 540, 713, 1184, 607, 1134, 269, 898, 18252, 519, 12477, 2203, 585, 922, 1702, 5108, 267, 4758, 29065, 20334, 519, 4960, 547, 2328, 267, 12575, 543, 7521, 607, 513, 2146, 1018, 568, 968, 4385, 1848, 15610, 27429, 1281, 519, 6587, 267, 2705, 267, 13461, 593, 513, 10766, 15209, 2203, 602, 814, 4966, 27774, 519, 14496, 543, 1871, 540, 930, 1702, 936, 1866, 269, 9504, 779, 18228, 6392, 2636, 585, 3152, 7589, 543, 4763, 630, 297, 523, 9469, 267, 476, 1220, 277, 1070, 799, 568, 1883, 547, 9504, 779, 1967, 1317, 621, 1797, 811, 15769, 543, 3755, 616, 2502, 538, 519, 2146, 779, 1702, 5108, 630, 16675, 560, 1329, 1299, 31481, 267, 476, 1001, 279, 1040, 23514, 9469, 630, 1220, 277, 264, 2829, 519, 4110, 547, 799, 2923, 7472, 543, 6800, 616, 13988, 25221, 519, 1967, 540, 1346, 3347, 269, 1548, 3755, 543, 9504, 1616, 568, 13988, 543, 649, 1294, 519, 1967, 538, 1297, 540, 11564, 543, 4560, 543, 2298, 540, 4930, 269, 2037, 9871, 29953, 27429, 267, 2901, 1820, 610, 2228, 267, 568, 693, 12918, 609, 513, 2486, 1141, 3755, 616, 5051, 24584, 513, 1007, 2078, 609, 519, 1543, 789, 8532, 267, 543, 14543, 693, 17306, 593, 713, 1184, 563, 17471, 19427, 4016, 547, 519, 19427, 540, 4529, 1472, 519, 1158, 269, 9504, 779, 3486, 3914, 2306, 16994, 946, 540, 713, 7678, 269, 4340, 547, 5381, 19986, 2593, 267, 9504, 568, 519, 476, 279, 628, 1034, 10272, 3896, 11451, 267, 6466, 15610, 27429, 568, 476, 278, 1321, 628, 269, 5637, 7270, 616, 2139, 538, 513, 3099, 540, 4654, 267, 2705, 621, 568, 1454, 4443, 547, 1265, 4654, 824, 982, 2296, 593, 9504, 269, 2859, 982, 602, 267, 1022, 1268, 666, 12575, 610, 3565, 1543, 689, 9170, 593, 9504, 282, 9427, 3105, 7496, 547, 7589, 543, 2810, 2686, 26477, 7190, 543, 4763, 630, 297, 523, 9469, 267, 476, 1220, 277, 1916, 310, 7364, 814, 711, 1044, 1510, 922, 1378, 9620, 16700, 15574, 666, 723, 7623, 532, 2360, 593, 1702, 2950, 630, 297, 523, 9469, 267, 476, 1220, 277, 264, 543, 9504, 568, 11630, 547, 713, 267, 1498, 6042, 4547, 538, 1282, 922, 2038, 1296, 723, 5280, 547, 11574, 713, 543, 741, 1967, 666, 581, 2938, 4481, 538, 519, 1646, 540, 6855, 1644, 3817, 2813, 543, 12995, 538, 476, 1708, 271, 630, 294, 541, 7615, 267, 476, 1708, 273, 1040, 9504, 814, 7059, 891, 6042, 543, 513, 23784, 15796, 609, 29065, 1569, 267, 4509, 513, 1883, 4763, 538, 922, 20334, 630, 294, 541, 7615, 267, 476, 1708, 273, 282, 23514, 9469, 267, 476, 1220, 277, 1040, 1715, 1260, 619, 2709, 519, 1034, 6086, 633, 1196, 1080, 267, 2495, 1007, 4930, 543, 9434, 1543, 267, 1419, 1317, 789, 917, 1945, 519, 1699, 2146, 1281, 711, 630, 294, 541, 7615, 267, 476, 1708, 273, 1040, 12275, 7615, 630, 1708, 273, 264, 10530, 918, 15811, 8575, 615, 267, 2250, 9504, 16628, 267, 538, 10503, 9504, 607, 513, 4999, 540, 11295, 543, 13417, 19099, 1702, 267, 13147, 10107, 23514, 7219, 779, 630, 1220, 277, 264, 6609, 540, 29065, 543, 10319, 1702, 538, 2923, 19427, 543, 1586, 17782, 922, 1967, 538, 713, 3350, 563, 310, 7364, 779, 17282, 936, 15610, 27429, 568, 3087, 894, 540, 2923, 19427, 543, 814, 5222, 593, 2069, 269, 1280, 835, 267, 6267, 2503, 547, 1569, 543, 2170, 609, 1344, 8335, 269, 22996, 616, 5051, 1031, 547, 1702, 2950, 1141, 789, 666, 7119, 547, 1020, 1983, 267, 1451, 267, 2671, 267, 543, 1121, 1460, 1543, 689, 13974 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 8799, 13711, 1977, 4017, 1120, 20199, 21489, 834, 536, 834, 4017, 1120, 20199, 13711, 1977, 8799, 21489, 834, 15017, 288, 281, 513, 0, 9223, 281, 769, 513, 17365, 4558, 267, 519, 3232, 14057, 540, 519, 9614, 568, 1269, 276, 543, 519, 804, 17064, 568, 1269, 273, 269, 1403, 972, 616, 4867, 476, 273, 9946, 543, 476, 274, 804, 518, 802, 6964, 538, 519, 17365, 4558, 267, 875, 1454, 568, 519, 2698, 3232, 14057, 540, 782, 519, 5520, 540, 519, 17365, 4558, 888, 12585, 281, 634, 476, 273, 9946, 7118, 1269, 276, 1535, 476, 273, 815, 1269, 28843, 276, 265, 273, 284, 1015, 9563, 1015, 829, 1554, 269, 634, 3232, 14057, 540, 476, 274, 804, 518, 802, 568, 1269, 273, 1535, 476, 274, 815, 1269, 28843, 274, 265, 273, 284, 277, 9563, 277, 269, 4475, 519, 2698, 14057, 540, 782, 5520, 540, 519, 17365, 4558, 568, 1269, 1015, 1341, 1269, 277, 284, 1269, 28843, 1015, 266, 277, 284, 1626, 9563, 1626, 634, 2626, 568, 476, 1626, 269, 0, 9223, 281, 898, 729, 513, 4411, 5162, 1554, 269, 589, 4807, 22755, 909, 547, 519, 14175, 11312, 15167, 17167, 2692, 1054, 476, 1547, 834, 296, 6415, 9878, 585, 8885, 267, 543, 585, 519, 3670, 6517, 3297, 803, 2437, 1352, 1767, 609, 513, 12837, 267, 1688, 532, 936, 5722, 17914, 269, 2290, 1310, 1776, 267, 519, 1985, 3670, 10256, 21945, 693, 519, 17167, 2692, 1054, 941, 5483, 267, 834, 5278, 14799, 909, 6619, 2907, 6976, 707, 24214, 1701, 898, 5828, 856, 602, 519, 4807, 267, 715, 7614, 773, 8055, 267, 1185, 1224, 1945, 593, 513, 3659, 781, 21067, 281, 834, 20797, 4351, 11587, 543, 6845, 1088, 612, 6411, 540, 5898, 1701, 634, 8360, 24330, 1200, 865, 1454, 602, 1352, 23652, 621, 1524, 269, 7225, 344, 5983, 2006, 19481, 519, 1482, 8360, 593, 513, 23999, 3774, 2484, 2476, 689, 1753, 269, 1879, 621, 18423, 593, 1200, 2247, 585, 2395, 267, 1352, 5795, 909, 543, 22755, 782, 519, 1259, 1394, 547, 5299, 621, 1524, 269, 834, 296, 2219, 621, 729, 4190, 2437, 1352, 1767, 267, 7713, 1946, 1352, 9364, 3144, 547, 1603, 621, 693, 519, 5377, 540, 782, 1200, 5022, 267, 834, 3697, 513, 5048, 689, 1657, 1701, 4173, 9393, 267, 7671, 267, 17329, 519, 8360, 865, 1454, 602, 646, 2322, 621, 909, 593, 519, 4928, 3774, 585, 1010, 1053, 267, 835, 540, 7247, 729, 519, 8250, 540, 7705, 9652, 267, 513, 2199, 3377, 27680, 269, 7705, 2322, 621, 538, 519, 11356, 267, 16153, 1154, 602, 1498, 1352, 17329, 621, 267, 1352, 4769, 1405, 917, 1141, 621, 3357, 689, 610, 1018, 621, 2731, 5921, 269, 5565, 2395, 2663, 267, 7705, 3893, 513, 1289, 689, 14732, 29464, 267, 513, 4807, 2713, 538, 3057, 514, 269, 898, 729, 538, 513, 13962, 602, 14732, 5206, 519, 8360, 1524, 593, 513, 4062, 540, 1957, 267, 1310, 7432, 621, 1472, 538, 1200, 2247, 585, 2395, 269, 834, 2080, 781, 519, 2856, 2437, 14732, 3081, 269, 834, 12179, 2251, 596, 1589, 972, 1058, 581, 811, 540, 267, 798, 621, 14477, 1701, 4173, 6720, 553, 625, 1331, 7206, 519, 13460, 540, 695, 629, 2421, 3506, 267, 6028, 3905, 6980, 593, 10051, 7515, 538, 519, 4057, 851, 540, 4884, 267, 543, 4758, 2724, 31205, 547, 513, 10583, 2025, 14799, 269, 14732, 3081, 267, 834, 9041, 1547, 257, 634, 6411, 540, 4351, 11587, 3262, 269, 1403, 596, 941, 835, 540, 1346, 10256, 945, 1336, 707, 24214, 6976, 267, 945, 6487, 1018, 596, 1522, 723, 1044, 6273, 547, 798, 585, 2576, 3116, 2663, 269, 6145, 782, 1390, 2621, 267, 11587, 5956, 7444, 267, 609, 1169, 2582, 957, 269, 2913, 621, 581, 16523, 256, 7225, 344, 5983, 2006, 23652, 1524, 519, 8360, 1317, 1352, 476, 9041, 476, 4586, 288, 269, 2219, 621, 729, 18991, 2854, 454, 289, 269, 4941, 547, 917, 1018, 621, 2731, 5921, 454, 290, 269, 4956, 547, 2328, 621, 593, 513, 23999, 3774, 454, 291, 269, 4941, 1200, 9393, 547, 2322, 621, 909, 538, 519, 4928, 454, 12585, 281, 589, 0, 299, 525, 12340, 1185, 547, 2307, 19162, 585, 948, 609, 741, 2777, 342, 9879, 5428, 1317, 19162, 1185, 9090, 18799, 835, 1354, 269, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 12357, 2462, 3504, 10538, 6704, 4418, 831, 834, 536, 834, 6704, 12357, 3504, 10538, 2462, 4418, 831, 834, 15017, 288, 281, 513, 0, 9223, 281, 1548, 1705, 1977, 5869, 5096, 344, 595, 13702, 9116, 1289, 1010, 1660, 8208, 888, 12585, 281, 2025, 914, 1910, 0, 9223, 281, 5808, 729, 11788, 10579, 540, 5689, 3279, 689, 476, 4198, 276, 547, 476, 3422, 273, 543, 1586, 689, 476, 3192, 272, 547, 476, 2735, 275, 888, 12585, 281, 2531, 20511, 4752, 0, 9223, 281, 1280, 799, 540, 891, 1079, 7653, 1281, 519, 1292, 1915, 630, 15367, 3096, 594, 270, 1889, 270, 3240, 264, 798, 1945, 5693, 25432, 4636, 267, 2687, 547, 8723, 5837, 4441, 538, 519, 2475, 607, 540, 476, 1708, 271, 286, 31950, 9222, 476, 272, 1923, 594, 3576, 519, 28734, 689, 519, 15678, 7535, 1394, 547, 1250, 4055, 269, 31950, 9222, 476, 273, 1923, 5221, 594, 4312, 1044, 8401, 827, 16468, 267, 594, 4956, 547, 1491, 2724, 856, 540, 519, 6666, 11578, 693, 1250, 2816, 563, 288, 269, 654, 3994, 267, 654, 3994, 454, 289, 269, 654, 3994, 267, 3502, 4636, 454, 290, 269, 3502, 4636, 267, 654, 3994, 454, 291, 269, 3502, 4636, 267, 3502, 4636, 454, 12585, 281, 595, 0, 19733, 543, 18058, 281, 1215, 547, 8908, 513, 5098, 11556, 269, 7994, 707, 1888, 269, 1411, 1522, 2253, 609, 513, 22394, 2856, 540, 1018, 596, 1616, 547, 1382, 269, 1411, 786, 991, 547, 5581, 513, 1888, 602, 814, 1719, 538, 707, 2361, 267, 666, 6445, 513, 7934, 538, 1702, 267, 543, 814, 513, 19242, 9165, 269, 634, 1888, 1058, 1719, 596, 543, 581, 1945, 596, 616, 5827, 540, 15388, 543, 1603, 827, 269, 1280, 1383, 267, 596, 666, 1376, 609, 519, 2489, 2856, 602, 596, 1616, 547, 2328, 827, 875, 1453, 616, 17814, 538, 476, 866, 628, 2540, 678, 11701, 3332, 543, 707, 5172, 4589, 616, 2881, 2102, 5271, 543, 547, 331, 560, 1195, 269, 0, 454, 304, 281, 7705, 267, 7585, 267, 1849, 18311, 267, 25272, 267, 18832, 267, 12049, 267, 543, 717, 1068, 337, 8775, 616, 2828, 543, 28048, 3988, 945, 12212, 4123, 2835, 269, 2311, 519, 1376, 540, 519, 19496, 267, 789, 1142, 4444, 835, 1007, 1433, 281, 7705, 4991, 595, 2255, 268, 2420, 267, 7585, 4991, 634, 26665, 23050, 540, 519, 23580, 267, 1849, 18311, 4991, 700, 7035, 320, 267, 25272, 4991, 670, 895, 540, 519, 645, 2532, 969, 14792, 267, 18832, 4991, 634, 23421, 267, 12049, 4991, 634, 4279, 30056, 267, 543, 717, 1068, 337, 8775, 4991, 29975, 269, 8528, 2026, 519, 19496, 23131, 267, 789, 1376, 9467, 1472, 519, 1007, 2835, 269, 3689, 267, 18832, 543, 7585, 23396, 2835, 269, 3973, 267, 12049, 543, 717, 1068, 337, 8775, 23396, 2835, 269, 3973, 267, 1849, 18311, 543, 12049, 23396, 2835, 269, 3973, 267, 25272, 543, 18832, 23396, 2835, 269, 3973, 267, 717, 1068, 337, 8775, 543, 1849, 18311, 23396, 2835, 269, 3973, 267, 7705, 543, 717, 1068, 337, 8775, 23396, 2835, 269, 7053, 267, 1849, 18311, 543, 7585, 23396, 2835, 269, 2311, 519, 1439, 540, 519, 19496, 267, 7585, 814, 22322, 288, 281, 634, 4279, 30056, 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 ]
[ 0, 6635, 7217, 710, 1884, 267, 7412, 335, 527, 1335, 320, 1208, 850, 630, 845, 28861, 594, 5090, 3912, 3944, 1410, 1208, 18442, 1916, 1432, 616, 17605, 888, 12901, 338, 616, 7786, 602, 1753, 543, 1870, 5411, 616, 1360, 5432, 609, 1317, 789, 616, 2693, 547, 2842, 909, 3330, 782, 540, 938, 3889, 693, 835, 942, 610, 1776, 563, 2304, 1884, 781, 1614, 1560, 4525, 267, 3989, 22765, 267, 2110, 18761, 13494, 333, 2801, 267, 543, 3670, 7953, 1118, 891, 7786, 2653, 547, 10646, 689, 824, 2249, 267, 543, 782, 17605, 616, 1514, 543, 2661, 1927, 538, 1804, 2516, 269, 1358, 616, 5140, 3868, 2209, 543, 6707, 1847, 689, 519, 9566, 547, 1426, 2959, 1142, 1554, 538, 519, 1391, 585, 1426, 543, 1216, 2336, 6635, 7217, 710, 17605, 267, 5212, 5387, 2777, 17605, 267, 31879, 17605, 267, 543, 943, 21198, 17605, 616, 1806, 540, 519, 1082, 1114, 17605, 602, 1289, 519, 15762, 26963, 334, 1858, 1753, 563, 12901, 338, 543, 741, 4165, 268, 923, 454, 6701, 17605, 5906, 888, 3963, 798, 594, 723, 606, 1884, 1966, 888, 1692, 798, 594, 1205, 7759, 540, 17605, 888, 15987, 1034, 17605, 1810, 1405, 10460, 513, 9645, 8594, 267, 930, 798, 267, 543, 4687, 707, 1753, 609, 1022, 1884, 2249, 568, 2760, 15695, 563, 291, 836, 2730, 17605, 2014, 2800, 547, 1004, 610, 666, 11214, 3441, 938, 3959, 269, 31279, 17605, 616, 1806, 540, 5906, 17605, 282, 789, 4163, 543, 3262, 5906, 13596, 899, 13687, 7578, 543, 1792, 696, 19905, 269, 4033, 1884, 2249, 616, 5906, 1317, 789, 899, 547, 9566, 1369, 513, 1753, 781, 7293, 3574, 610, 2951, 998, 543, 3441, 5122, 3937, 269, 667, 836, 2730, 610, 711, 267, 17605, 616, 2141, 13311, 538, 938, 5321, 1317, 540, 741, 2702, 547, 1491, 936, 538, 1804, 2338, 543, 8764, 622, 519, 1426, 649, 723, 6740, 269, 2311, 1101, 8289, 540, 17605, 911, 4979, 1472, 707, 13452, 610, 3330, 707, 1753, 267, 3346, 513, 3318, 563, 1103, 938, 3148, 267, 17605, 616, 513, 1032, 15778, 11641, 1966, 267, 543, 1510, 519, 948, 540, 513, 11641, 3318, 543, 2834, 11641, 1852, 2533, 267, 621, 568, 4101, 547, 1832, 891, 6263, 7786, 689, 4466, 741, 1259, 883, 938, 5321, 269, 18833, 1946, 789, 949, 581, 13631, 547, 707, 1753, 568, 1898, 865, 602, 596, 666, 1118, 2242, 547, 2057, 2042, 609, 17605, 269, 5565, 540, 519, 1034, 1455, 4128, 616, 519, 4527, 540, 1426, 610, 1216, 269, 4165, 338, 5781, 28532, 585, 1426, 3544, 538, 10651, 267, 9205, 4189, 2127, 267, 17885, 322, 753, 267, 610, 4620, 8023, 10473, 269, 4165, 338, 723, 1164, 7509, 2115, 267, 543, 1919, 899, 7670, 23926, 10651, 267, 13451, 344, 12992, 267, 543, 5671, 6137, 26892, 786, 4482, 17605, 547, 513, 3959, 563, 4131, 519, 6131, 4648, 693, 5682, 4303, 28814, 6513, 948, 596, 1205, 7759, 540, 707, 15762, 26963, 334, 3959, 781, 1884, 2042, 269, 1284, 2709, 938, 5561, 4708, 540, 2247, 676, 6061, 782, 741, 11641, 2042, 269, 3776, 4648, 21160, 4566, 267, 1685, 2500, 11641, 1852, 5574, 267, 543, 2936, 1279, 3856, 23833, 3800, 563, 2690, 519, 1034, 6325, 10821, 543, 5010, 1884, 1852, 2533, 538, 519, 15762, 26963, 334, 1858, 267, 3914, 856, 547, 5682, 4303, 28814, 4648, 269, 1284, 616, 1934, 547, 948, 543, 2327, 602, 707, 11641, 1852, 2115, 616, 711, 1152, 1558, 855, 25295, 2336, 1692, 666, 594, 2061, 17605, 538, 519, 2104, 888, 22998, 609, 513, 3318, 568, 519, 1655, 1259, 547, 2061, 2042, 609, 17605, 602, 666, 28117, 938, 3601, 538, 1804, 2338, 269, 769, 14966, 609, 3318, 1884, 1852, 585, 707, 1753, 267, 519, 1739, 4388, 543, 15361, 786, 948, 596, 2061, 1884, 2042, 538, 707, 2777, 912, 13014, 2386, 547, 28471, 330, 1022, 18015, 610, 23761, 538, 519, 5748, 267, 7816, 8122, 3441, 267, 543, 13021, 5624, 1472, 12904, 543, 15791, 10024, 707, 1753, 269, 634, 1884, 781, 1507, 2450, 2636, 873, 547, 4283, 938, 5321, 3833, 3362, 563, 20278, 7450, 4418, 10134, 593, 782, 16538, 9885, 563, 293, 1460, 13451, 344, 12992, 543, 31316, 1115, 563, 16605, 4620, 1426, 543, 707, 1920, 781, 1426, 856, 540, 741, 3914, 269, 8550, 4734, 11552, 22760, 4620, 1426, 856, 267, 543, 2760, 4558, 707, 1920, 781, 1426, 856, 538, 519, 1930, 593, 27669, 610, 7515, 563, 19894, 569, 12511, 543, 3533, 26763, 909, 1835, 29304, 543, 29908, 563, 10673, 1405, 1577, 17885, 18061, 909, 267, 543, 1832, 561, 1749, 593, 17885, 23691, 563, 2414, 1451, 811, 827, 2324, 1927, 547, 3247, 17605, 689, 2921, 936, 707, 3959, 267, 3914, 856, 547, 5682, 4303, 28814, 6513, 2221, 256, 0, 2710, 1411, 21763, 1677, 6258, 8342, 3203, 1299, 14958, 14313, 998, 11473, 20861, 1280, 8866, 286, 901, 568, 519, 3501, 1747, 585, 707, 1453, 547, 2263, 741, 3860, 2427, 543, 1451, 875, 547, 1118, 5863, 1148, 543, 4739, 3785, 563, 5978, 3381, 18862, 616, 2653, 547, 1246, 543, 1187, 585, 782, 6502, 267, 865, 707, 3214, 666, 1451, 875, 547, 1118, 513, 3099, 540, 13492, 689, 2241, 547, 811, 1950, 3785, 269, 6787, 707, 1126, 568, 3168, 547, 1118, 1945, 2027, 585, 513, 9702, 610, 1175, 6499, 547, 723, 513, 3860, 17752, 267, 713, 568, 519, 1747, 547, 1376, 269, 1924, 10544, 707, 7727, 543, 1205, 13167, 2336, 11902, 17988, 13565, 1677, 8342, 3203, 1299, 14958, 14313, 1280, 8866, 454, 272, 269, 1548, 2326, 798, 594, 991, 585, 1148, 543, 4739, 3785, 888, 9209, 543, 4739, 3785, 666, 581, 2944, 609, 513, 3099, 540, 2326, 267, 1519, 1957, 267, 5958, 267, 26781, 267, 5862, 267, 12508, 267, 15441, 267, 543, 811, 563, 273, 269, 1548, 2085, 568, 3617, 585, 1148, 543, 4739, 3785, 888, 9209, 543, 4739, 3785, 666, 581, 10150, 676, 1004, 540, 782, 6502, 267, 2705, 267, 7820, 1453, 949, 991, 811, 948, 543, 5583, 563, 274, 269, 1548, 2186, 540, 1148, 543, 13492, 3785, 666, 594, 798, 888, 2467, 616, 11995, 7399, 585, 1148, 543, 4739, 3785, 269, 2368, 2442, 3785, 1331, 7206, 267, 5373, 267, 22927, 267, 22805, 267, 9380, 532, 267, 543, 811, 563, 275, 269, 1215, 666, 594, 1205, 3860, 609, 1250, 1148, 543, 4739, 3785, 888, 2467, 616, 1082, 2081, 547, 1205, 3860, 609, 1148, 543, 4739, 3785, 269, 6056, 3544, 519, 4216, 543, 4603, 609, 1114, 2326, 543, 2553, 563, 276, 269, 1548, 3106, 15416, 1058, 594, 1491, 950, 3257, 1148, 543, 4739, 3785, 888, 29490, 946, 23805, 543, 824, 2645, 5265, 543, 581, 2386, 547, 5957, 3617, 3106, 3937, 269, 4746, 267, 1832, 782, 2326, 2476, 689, 1507, 1453, 563, 277, 269, 1548, 616, 930, 1187, 1148, 543, 4739, 2093, 585, 3214, 888, 290, 2761, 338, 899, 1957, 27858, 267, 1957, 9126, 12470, 1115, 267, 19389, 16833, 10367, 267, 543, 1957, 6676, 13968, 616, 782, 1187, 543, 2653, 1148, 543, 4739, 3785, 585, 3214, 563, 10287, 721, 593, 962, 19834, 585, 1148, 543, 4739, 18862, 543, 1454, 811, 563, 5415, 15080, 689, 8866, 3203, 1299, 14958, 454, 268, 1234, 7094, 539, 3883, 5658, 14313, 585, 8866, 454, 268, 14168, 18789, 25595, 2401, 1677, 903, 689, 1234, 7094, 539, 10049, 454, 268, 8342, 1677, 5269, 20550, 13239, 1677, 850, 339, 24305, 7433, 27207, 454, 268, 8342, 1677, 5269, 7433, 853, 3863, 27207, 454, 268, 18789, 14168, 268, 2414, 5336, 820, 853, 3863, 9412, 1115, 0, 1103, 476, 1708, 272, 13495, 12320, 597, 5451, 5342, 513, 1353, 547, 2268, 922, 3327, 11640, 2429, 519, 2898, 2504, 543, 3892, 1184, 269, 634, 2164, 941, 8716, 543, 4951, 602, 741, 2030, 779, 3154, 5434, 941, 3648, 2539, 982, 519, 2343, 585, 6671, 4006, 9755, 269, 25408, 13495, 12320, 597, 5451, 779, 15245, 568, 23185, 609, 10931, 2117, 2033, 21225, 267, 32749, 1447, 8511, 9362, 982, 952, 621, 941, 23185, 609, 3595, 6229, 269, 8616, 267, 519, 2079, 4857, 519, 7872, 547, 2417, 2569, 3327, 8166, 5434, 998, 519, 6388, 540, 513, 6632, 3154, 28103, 828, 563, 763, 661, 10499, 288, 8693, 10456, 8750, 786, 1489, 519, 3213, 641, 547, 11126, 519, 1062, 281, 13495, 12320, 597, 5451, 786, 10536, 513, 15409, 1166, 826, 3154, 2555, 10045, 543, 519, 4006, 2030, 23390, 786, 4309, 1808, 2866, 593, 922, 6165, 269, 4438, 476, 275, 3275, 267, 519, 8036, 5234, 786, 1449, 1114, 13674, 6724, 630, 1515, 3403, 267, 11195, 538, 519, 9126, 21692, 2507, 264, 547, 2697, 519, 1655, 2175, 547, 2569, 10518, 5434, 269, 0, 763, 670, 539, 4577, 20145, 568, 835, 540, 519, 3844, 2093, 540, 28564, 5069, 781, 2920, 7780, 4106, 31791, 269, 23095, 676, 9256, 15949, 517, 1143, 267, 630, 1492, 13287, 540, 5418, 9778, 543, 21084, 540, 24074, 264, 543, 9111, 630, 332, 1994, 640, 4341, 264, 519, 15949, 4577, 11810, 568, 1031, 547, 6218, 875, 1454, 12257, 610, 1928, 1131, 581, 3361, 676, 606, 2962, 269, 901, 11810, 5161, 540, 476, 278, 2694, 281, 2271, 3748, 267, 799, 568, 3274, 875, 7920, 519, 12257, 540, 606, 957, 786, 581, 267, 8653, 281, 875, 1279, 519, 12257, 786, 2063, 267, 22979, 281, 952, 649, 666, 10018, 602, 12257, 786, 8451, 689, 519, 2962, 267, 905, 322, 1495, 640, 281, 2436, 610, 711, 519, 12257, 786, 3136, 547, 581, 5418, 553, 9092, 952, 519, 957, 568, 7368, 267, 4412, 22055, 640, 281, 875, 834, 30138, 257, 2476, 519, 12257, 568, 267, 538, 2474, 540, 2168, 2230, 610, 942, 267, 19454, 281, 875, 834, 335, 675, 257, 606, 2962, 666, 581, 2808, 547, 581, 267, 543, 6708, 281, 875, 1082, 1004, 786, 581, 4299, 269, 1677, 2322, 713, 883, 606, 1383, 267, 2161, 649, 941, 2016, 835, 2929, 6550, 267, 1403, 649, 1832, 621, 782, 547, 6000, 519, 12257, 1131, 581, 1360, 7920, 543, 621, 1131, 723, 513, 1360, 1279, 8653, 267, 855, 952, 649, 3838, 621, 1851, 938, 1920, 649, 1223, 723, 519, 12257, 1860, 513, 3152, 1297, 540, 1004, 269, 898, 568, 865, 1287, 602, 519, 15949, 4577, 11810, 568, 2813, 547, 1871, 519, 3344, 540, 6411, 547, 2015, 875, 26656, 610, 2953, 789, 616, 538, 2474, 540, 519, 2179, 540, 12257, 789, 3142, 543, 547, 7247, 269, 0, 2419, 1157, 523, 21479, 17261, 1588, 30318, 538, 4789, 454, 309, 3147, 710, 4966, 538, 519, 2136, 8003, 5227, 9750, 922, 1453, 781, 12674, 1982, 547, 1732, 5447, 609, 824, 2919, 2477, 563, 763, 17434, 9730, 593, 17261, 1588, 543, 16332, 5314, 630, 297, 290, 9654, 264, 814, 5227, 4946, 513, 6669, 1996, 15254, 545, 7578, 267, 1634, 607, 9269, 21479, 267, 547, 519, 772, 14389, 9538, 338, 6296, 6689, 31331, 1982, 563, 763, 6669, 1131, 581, 6035, 547, 782, 20854, 538, 1079, 13066, 267, 1210, 519, 5916, 631, 17307, 309, 630, 1889, 553, 956, 267, 544, 7927, 267, 6299, 7578, 267, 543, 15254, 545, 7578, 264, 6669, 563, 30560, 1188, 781, 1160, 5226, 611, 10378, 631, 17307, 309, 6669, 568, 3622, 2139, 693, 19190, 543, 7966, 9313, 538, 519, 2136, 2276, 563, 763, 12233, 814, 11643, 922, 7840, 547, 519, 4972, 540, 2657, 543, 4317, 5516, 267, 799, 786, 6430, 2436, 547, 2936, 513, 1982, 563, 763, 808, 290, 9654, 814, 849, 5227, 513, 10151, 6952, 5346, 1982, 585, 4587, 1453, 581, 3769, 538, 519, 3355, 5066, 719, 563, 13146, 1583, 334, 788, 573, 655, 5735, 1239, 689, 519, 772, 14389, 269, 2657, 8232, 10837, 630, 20084, 295, 6347, 264, 6920, 602, 5111, 3368, 540, 1453, 723, 1185, 15254, 545, 7578, 676, 519, 942, 789, 616, 2185, 1296, 2025, 267, 8375, 547, 476, 3445, 260, 676, 519, 942, 789, 616, 4557, 1296, 2025, 563, 309, 541, 545, 7578, 267, 610, 9269, 21479, 267, 568, 513, 3810, 11763, 2068, 3361, 676, 519, 15254, 545, 7578, 22271, 8803, 3644, 563, 15463, 6647, 1990, 8803, 630, 338, 3107, 956, 264, 568, 3361, 676, 2746, 10474, 540, 519, 15254, 545, 7578, 22271, 8803, 3644, 538, 513, 5892, 7783, 1268, 267, 513, 1981, 1317, 519, 3644, 3788, 26862, 538, 519, 1560, 1739, 606, 3355, 15254, 545, 7578, 3968, 563, 10144, 609, 15601, 1990, 8803, 666, 10141, 519, 3644, 547, 11630, 1004, 547, 2014, 9269, 21479, 267, 855, 15601, 1990, 8803, 568, 711, 9715, 689, 4947, 883, 3346, 609, 2576, 609, 15254, 545, 7578, 563, 2419, 1157, 523, 21479, 2665, 941, 3648, 4389, 1282, 519, 2487, 6855, 267, 2495, 972, 568, 4867, 513, 3677, 7535, 540, 1453, 982, 8912, 1510, 12046, 563, 763, 6952, 5346, 1982, 1131, 2709, 873, 4027, 1996, 811, 1713, 4220, 689, 519, 4576, 998, 2663, 6689, 610, 607, 4079, 950, 9269, 21479, 666, 581, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 842, 11513, 8999, 315, 3916, 1080, 3709, 330, 815, 476, 271, 11892, 315, 13727, 11513, 3847, 263, 2715, 910, 476, 272, 348, 1422, 2431, 8203, 330, 1535, 3867, 273, 333, 330, 348, 7684, 15848, 348, 815, 1422, 8999, 315, 3916, 1080, 3709, 330, 815, 476, 271, 11892, 315, 13727, 11513, 3847, 263, 2715, 910, 476, 272, 348, 1422, 2431, 8203, 330, 1422, 842, 2715, 343, 3867, 273, 333, 330, 348, 15848, 348, 7684, 815, 1422, 8999, 315, 3916, 1080, 3709, 330, 815, 476, 271, 11892, 315, 13727, 11513, 3847, 263, 2715, 910, 476, 272, 348, 1422, 2431, 8203, 330, 1422, 2765, 13997, 343, 3867, 273, 333, 330, 1341, 476, 272, 348, 7684, 2410, 346, 273, 333, 330, 1341, 476, 272, 3686, 6525, 7325, 476, 279, 267, 476, 1001, 276, 693, 476, 2537, 281, 4649, 454, 1892, 9811, 267, 596, 678, 1318, 7325, 476, 280, 267, 476, 1001, 276, 693, 476, 271, 281, 6021, 454, 1892, 7711, 332, 342, 558, 987, 1656, 513, 13113, 2040, 4667, 811, 17715, 982, 606, 12808, 3126, 3070, 269, 5213, 1405, 596, 3858, 286, 7325, 476, 280, 267, 476, 1001, 276, 693, 476, 271, 281, 1724, 454, 1892, 634, 1034, 4277, 851, 568, 519, 19106, 540, 519, 1269, 320, 17624, 259, 262, 338, 269, 1215, 798, 596, 1205, 602, 1267, 15017, 1700, 1109, 12528, 4792, 273, 6734, 454, 19878, 476, 280, 267, 476, 1001, 276, 693, 476, 278, 281, 3451, 454, 1892, 7711, 1706, 2532, 327, 657, 5055, 1656, 602, 3593, 781, 25195, 602, 1269, 347, 343, 17624, 347, 283, 272, 259, 568, 711, 2953, 269, 1809, 6157, 585, 1269, 343, 22174, 8987, 272, 267, 272, 29408, 602, 3126, 7269, 568, 4570, 269, 4924, 476, 2767, 267, 476, 1001, 280, 693, 476, 1240, 281, 4343, 692, 2005, 814, 1100, 2241, 6806, 1106, 267, 8259, 596, 849, 2285, 930, 8799, 5610, 1439, 9557, 267, 971, 607, 4399, 842, 1422, 3916, 1080, 9041, 271, 9745, 315, 13727, 10608, 1280, 707, 7279, 267, 596, 1205, 1269, 343, 1422, 11898, 15079, 318, 273, 674, 9041, 272, 22570, 2765, 476, 272, 2715, 273, 333, 9574, 476, 272, 267, 476, 272, 266, 1422, 2765, 476, 272, 2715, 273, 333, 9574, 910, 343, 476, 3867, 273, 333, 348, 29408, 1141, 20270, 20731, 273, 674, 9041, 272, 259, 568, 519, 5409, 613, 6248, 1599, 780, 1892, 1635, 9864, 6824, 17883, 267, 596, 1205, 513, 5276, 4999, 540, 1269, 273, 333, 259, 2474, 4399, 15238, 3287, 22271, 17624, 29408, 1141, 1269, 345, 17624, 259, 568, 513, 1269, 273, 333, 3867, 628, 4151, 3597, 540, 1269, 268, 272, 8961, 4986, 2731, 16678, 563, 1700, 1109, 12528, 4792, 273, 6734, 454, 19878, 476, 279, 267, 476, 1001, 276, 693, 476, 1704, 281, 1240, 454, 1892, 7711, 312, 1407, 291, 320, 24065, 281, 594, 1745, 602, 519, 20525, 18387, 1405, 6594, 1950, 2079, 2943, 269, 9578, 267, 1256, 609, 1950, 3252, 267, 596, 1131, 1869, 1205, 513, 2040, 540, 2241, 2474, 910, 621, 5673, 593, 707, 6492, 2436, 596, 1289, 602, 513, 6806, 4542, 610, 711, 269, 7325, 476, 279, 267, 476, 1001, 276, 693, 476, 1704, 281, 736, 454, 1892, 594, 798, 267, 607, 1279, 607, 519, 2040, 568, 13113, 563, 1700, 1109, 12528, 4792, 273, 6734, 454, 19878, 476, 279, 267, 476, 1001, 276, 693, 476, 1240, 281, 1691, 692, 5575, 1265, 1269, 343, 3867, 273, 333, 15396, 272, 815, 476, 271, 8961, 1287, 8237, 883, 2040, 540, 8454, 1269, 272, 14370, 343, 17070, 7751, 543, 1269, 272, 14370, 343, 317, 273, 17070, 343, 25239, 7751, 543, 11753, 1346, 269, 594, 3100, 547, 723, 16618, 1018, 621, 781, 1572, 538, 2296, 269, 3502, 9864, 5610, 610, 5610, 676, 2694, 269, 3487, 658, 6824, 17883, 6148, 2496, 1892, 3487, 658, 6824, 17883, 269, 2353, 540, 891, 5072, 723, 8799, 4082, 538, 25066, 1106, 269, 1924, 6148, 519, 5497, 2626, 568, 513, 2040, 540, 1269, 333, 259, 1919, 5473, 4645, 3252, 269, 7325, 476, 279, 267, 476, 1001, 276, 693, 476, 1704, 281, 4962, 454, 1892, 8786, 267, 17969, 916, 543, 818, 551, 534, 543, 6148, 513, 1906, 1866, 269, 7325, 476, 279, 267, 476, 1001, 276, 693, 476, 1704, 281, 1724, 0, 258, 476, 275, 15372, 23234, 8258, 1927, 693, 476, 276, 993, 269, 1358, 8258, 1310, 476, 278, 267, 476, 279, 267, 476, 1556, 543, 476, 1321, 7643, 6606, 269, 1215, 1082, 2053, 786, 789, 8258, 1927, 1586, 538, 519, 1985, 476, 274, 692, 1789, 5784, 454, 514, 589, 696, 3363, 454, 743, 2216, 454, 275, 15372, 23234, 8258, 1927, 693, 476, 276, 993, 269, 1358, 8258, 1310, 476, 278, 267, 476, 279, 267, 476, 1556, 543, 476, 1321, 7643, 6606, 269, 1215, 1082, 2053, 786, 789, 8258, 1927, 1586, 538, 519, 1985, 476, 274, 3108, 888, 272, 269, 476, 276, 454, 273, 269, 476, 277, 454, 274, 269, 476, 274, 454, 275, 269, 476, 275, 692, 2421, 630, 5379, 269, 272, 330, 2798, 994, 572, 21124, 692, 28557, 8382, 910, 26840, 476, 272, 2433, 476, 276, 692, 15612, 566, 1384, 5472, 476, 275, 30518, 8258, 1927, 815, 700, 13967, 540, 630, 278, 267, 476, 279, 267, 476, 1556, 267, 476, 1321, 264, 815, 476, 7277, 279, 3813, 338, 692, 274, 3108, 815, 476, 11740, 271, 6398, 1109, 476, 274, 815, 476, 10482, 876, 3813, 338, 692, 10831, 540, 2053, 815, 476, 10482, 876, 270, 7277, 279, 815, 476, 276, 269, 10019, 1109, 19749, 486, 476, 276, 2053, 692, 30043, 634, 1297, 540, 2053, 476, 275, 11350, 8258, 1927, 538, 1985, 476, 274, 3108, 568, 476, 276, 0, 1691, 269, 1403, 519, 3830, 586, 815, 1535, 266, 320, 270, 272, 31956, 1036, 2483, 9223, 692, 1691, 269, 1403, 519, 3830, 586, 815, 1535, 266, 320, 270, 272, 31956, 9833, 607, 513, 13392, 538, 476, 273, 267, 786, 723, 3160, 5072, 267, 1287, 1535, 273, 1341, 586, 273, 568, 3160, 547, 630, 272, 264, 910, 2420, 630, 273, 264, 513, 630, 274, 264, 476, 271, 692, 297, 7417, 270, 25811, 1359, 1401, 4461, 454, 13043, 338, 454, 11405, 454, 14625, 454, 275, 269, 271, 630, 272, 16863, 994, 314, 2253, 15204, 2410, 331, 12917, 344, 2000, 10033, 1535, 6661, 320, 21762, 346, 272, 266, 14433, 3867, 273, 3686, 1257, 2715, 8293, 2130, 7684, 7117, 15153, 2253, 15204, 2410, 331, 12917, 344, 2000, 10033, 1535, 22722, 273, 13157, 320, 3867, 273, 348, 3847, 263, 272, 266, 14433, 3867, 273, 348, 2431, 264, 586, 3867, 273, 15396, 14433, 3867, 273, 348, 1535, 3867, 273, 18511, 273, 25754, 1535, 586, 30381, 3867, 273, 15396, 320, 3867, 273, 348, 546, 3867, 273, 348, 754, 15204, 348, 9406, 5535, 22712, 25754, 3867, 273, 348, 3847, 3287, 3867, 273, 18511, 320, 3867, 273, 348, 2431, 9984, 273, 25754, 1535, 586, 266, 3847, 12169, 3867, 273, 18511, 320, 3867, 273, 348, 2431, 264, 535, 2350, 346, 28072, 4067, 346, 339, 788, 12453, 273, 348, 1257, 2715, 26321, 5072, 1797, 7684, 667, 284, 271, 476, 275, 1535, 3867, 273, 348, 586, 3867, 273, 18511, 275, 3847, 12169, 3867, 273, 18511, 320, 3867, 273, 348, 2431, 264, 3847, 3287, 3867, 273, 18511, 320, 3867, 273, 348, 2431, 6661, 271, 9406, 5535, 476, 275, 1535, 3867, 273, 348, 586, 3867, 273, 18511, 275, 3847, 314, 344, 3867, 273, 348, 1535, 3867, 273, 18511, 320, 3867, 273, 348, 586, 3867, 273, 18511, 320, 3867, 273, 348, 1535, 3867, 273, 15396, 320, 3867, 275, 348, 2431, 24557, 271, 9406, 5535, 476, 275, 1535, 3867, 273, 348, 586, 3867, 273, 18511, 275, 1535, 3867, 273, 348, 586, 3867, 273, 15396, 275, 513, 3867, 273, 348, 586, 3867, 273, 15396, 275, 513, 3867, 273, 348, 1535, 3867, 273, 18511, 275, 513, 3867, 275, 13157, 271, 476, 274, 1535, 3867, 273, 15396, 344, 3867, 273, 13157, 320, 3867, 273, 348, 754, 15204, 13157, 271, 9948, 0, 258, 554, 274, 338, 910, 476, 1240, 269, 6349, 670, 6865, 11246, 3036, 298, 258, 274, 667, 16604, 744, 6311, 15477, 2207, 476, 278, 476, 1001, 271, 645, 297, 3036, 301, 18161, 2177, 2894, 476, 272, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 274, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 476, 1240, 269, 6349, 670, 6865, 11246, 3036, 298, 1948, 274, 267, 667, 16604, 744, 6311, 15477, 2207, 476, 278, 267, 476, 1001, 271, 645, 297, 3036, 301, 18161, 2177, 2894, 476, 272, 269, 3487, 589, 630, 5475, 20029, 269, 476, 2190, 264, 476, 273, 293, 268, 272, 321, 267, 476, 273, 293, 268, 274, 265, 630, 1321, 533, 1206, 13776, 476, 273, 293, 268, 275, 265, 630, 277, 533, 1206, 4700, 8827, 269, 630, 1729, 476, 273, 293, 268, 274, 264, 634, 7077, 814, 519, 1106, 1990, 815, 4949, 1341, 676, 1341, 524, 1547, 4595, 630, 273, 2073, 476, 272, 2073, 476, 272, 264, 568, 593, 621, 267, 476, 272, 815, 476, 273, 513, 1341, 536, 1341, 524, 2073, 865, 524, 815, 476, 272, 268, 476, 273, 513, 268, 536, 1547, 4935, 519, 7077, 568, 1990, 815, 4949, 1341, 676, 1341, 263, 272, 268, 476, 273, 513, 268, 536, 15426, 634, 1535, 25435, 568, 519, 1535, 17032, 950, 586, 815, 476, 271, 543, 1990, 815, 476, 271, 267, 799, 568, 630, 273, 513, 1341, 536, 268, 476, 272, 264, 1315, 320, 1547, 6684, 267, 519, 586, 25435, 568, 630, 273, 513, 1341, 536, 268, 476, 272, 264, 1315, 321, 2073, 543, 519, 1990, 25435, 568, 476, 272, 268, 476, 273, 513, 268, 536, 1547, 634, 23061, 16526, 593, 513, 543, 536, 616, 602, 891, 1614, 18448, 338, 616, 2318, 269, 1809, 519, 1990, 25435, 568, 268, 513, 2053, 519, 1535, 25435, 267, 543, 568, 268, 536, 2053, 519, 586, 25435, 269, 1924, 547, 2161, 602, 519, 1614, 18448, 338, 616, 2318, 568, 519, 1482, 607, 8506, 602, 513, 543, 536, 616, 2942, 267, 543, 476, 272, 268, 476, 273, 513, 268, 536, 568, 2318, 269, 24511, 519, 2063, 2783, 568, 513, 12343, 540, 519, 1101, 1079, 267, 865, 519, 1152, 23061, 16526, 616, 602, 513, 543, 536, 616, 2942, 282, 1775, 4318, 1421, 630, 513, 267, 536, 3738, 568, 538, 519, 3791, 9076, 656, 269, 634, 1599, 547, 581, 31965, 568, 519, 1587, 535, 630, 513, 267, 536, 3738, 28701, 476, 273, 513, 1341, 536, 268, 476, 272, 513, 476, 273, 513, 1341, 536, 268, 476, 272, 536, 630, 272, 268, 476, 273, 513, 268, 536, 3738, 815, 630, 272, 268, 476, 273, 513, 268, 536, 3738, 476, 274, 705, 1547, 634, 19362, 568, 693, 2547, 3193, 263, 1923, 513, 1923, 2073, 1923, 536, 1923, 3738, 476, 274, 2073, 855, 519, 14009, 568, 693, 1034, 3193, 263, 1923, 513, 1923, 2073, 1923, 536, 1923, 3738, 476, 273, 2073, 865, 535, 630, 513, 267, 536, 3738, 21759, 3193, 263, 1923, 513, 1923, 2073, 1923, 536, 1923, 16532, 799, 4422, 547, 3980, 508, 607, 2901, 1923, 513, 1923, 610, 1923, 536, 1923, 9428, 269, 4746, 607, 630, 513, 267, 536, 3738, 4485, 2901, 7852, 630, 5976, 514, 519, 3791, 9076, 656, 1070, 535, 630, 513, 267, 536, 3738, 11148, 547, 3980, 508, 1547, 4935, 519, 5934, 540, 535, 630, 513, 267, 536, 3738, 786, 2049, 12341, 3330, 693, 519, 3791, 9076, 656, 269, 4595, 535, 568, 1114, 4192, 10876, 3330, 519, 3791, 9076, 656, 267, 519, 5934, 1590, 2049, 693, 513, 2565, 1448, 540, 535, 1547, 1677, 1265, 519, 2565, 2798, 540, 535, 609, 513, 267, 536, 2999, 476, 271, 267, 649, 5173, 3980, 480, 325, 3980, 480, 320, 815, 705, 630, 274, 263, 272, 268, 476, 273, 513, 268, 536, 3738, 476, 273, 11196, 476, 273, 4297, 268, 630, 272, 268, 476, 273, 513, 268, 536, 3738, 476, 274, 536, 630, 705, 3738, 476, 273, 815, 630, 272, 268, 476, 273, 513, 268, 536, 3738, 476, 273, 11196, 476, 277, 513, 268, 630, 272, 268, 476, 273, 513, 268, 536, 3738, 264, 513, 476, 273, 536, 3980, 480, 325, 3980, 480, 321, 815, 705, 630, 274, 263, 272, 268, 476, 273, 513, 268, 536, 3738, 476, 273, 11196, 476, 272, 4297, 268, 630, 272, 268, 476, 273, 513, 268, 536, 3738, 476, 274, 513, 630, 705, 3738, 476, 273, 815, 630, 272, 268, 476, 273, 513, 268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9748, 540, 6757, 11849, 538, 269, 7025, 2257, 3184, 476, 2537, 1018, 5949, 547, 519, 512, 1872, 29539, 2736, 540, 21554, 476, 2735, 278, 543, 519, 6928, 737, 327, 1014, 4262, 476, 2735, 277, 4199, 1141, 936, 476, 2412, 267, 1822, 1863, 3594, 616, 563, 1432, 1281, 519, 4262, 1611, 547, 519, 10584, 540, 2736, 711, 10203, 519, 21554, 15831, 15259, 13871, 267, 737, 2077, 523, 737, 529, 1088, 267, 740, 600, 1196, 512, 3317, 903, 517, 779, 9954, 1557, 2055, 269, 2060, 938, 1557, 948, 596, 949, 581, 2386, 18864, 4927, 723, 513, 1732, 1665, 585, 519, 960, 982, 596, 2328, 1250, 1876, 1557, 2736, 540, 21554, 543, 737, 327, 1014, 4262, 269, 634, 3997, 534, 13617, 564, 1650, 950, 1775, 21783, 689, 4608, 32724, 14629, 543, 9310, 1250, 9393, 267, 620, 267, 1250, 4126, 729, 547, 1376, 1250, 1378, 1148, 18638, 543, 1118, 2614, 968, 8117, 614, 543, 4212, 892, 2724, 547, 948, 1489, 1250, 563, 3891, 2371, 1010, 3723, 25074, 538, 519, 4262, 21554, 593, 891, 26441, 540, 530, 4141, 543, 5609, 2736, 267, 544, 1941, 540, 519, 18459, 814, 4862, 543, 12943, 11755, 519, 18459, 814, 4862, 543, 269, 15638, 23891, 4231, 23891, 4231, 1107, 519, 18535, 6928, 737, 327, 1014, 4262, 12074, 476, 275, 267, 1822, 9748, 540, 6757, 3653, 538, 688, 16951, 1310, 29595, 1472, 519, 693, 23007, 585, 28465, 3275, 23891, 4231, 476, 272, 1107, 519, 27685, 673, 32053, 534, 563, 288, 7356, 326, 600, 730, 14930, 540, 1964, 568, 519, 2012, 540, 513, 835, 11325, 1788, 676, 7819, 5152, 32392, 786, 2025, 5069, 543, 795, 1783, 12387, 2088, 2073, 2059, 609, 1085, 2714, 880, 26393, 620, 553, 323, 1515, 887, 828, 1206, 269, 634, 17485, 2587, 7062, 3232, 3377, 568, 519, 2199, 3377, 2707, 585, 17485, 2587, 7062, 513, 1007, 2868, 16072, 3280, 560, 720, 1175, 3893, 519, 3039, 1769, 547, 2736, 2666, 538, 3141, 14860, 1107, 3232, 563, 300, 341, 737, 327, 1014, 5182, 585, 3527, 593, 609, 13818, 4262, 2175, 7303, 519, 22745, 540, 1272, 2692, 1846, 519, 4487, 540, 519, 7022, 795, 11055, 5578, 2685, 513, 524, 275, 1606, 268, 272, 320, 269, 9085, 543, 5339, 9880, 1557, 1299, 2489, 3332, 4994, 24794, 8826, 568, 513, 12190, 4919, 6538, 602, 524, 2572, 3594, 269, 12846, 909, 547, 519, 4161, 3486, 4123, 2152, 6849, 519, 6928, 2736, 267, 13390, 1081, 776, 6240, 267, 737, 327, 1014, 4262, 3486, 4123, 2152, 6849, 519, 1666, 601, 269, 6435, 803, 798, 1250, 1557, 2736, 540, 21554, 543, 737, 327, 1014, 4262, 5339, 2079, 1557, 1888, 4845, 4008, 543, 14920, 14436, 1557, 3982, 1947, 3308, 5098, 3948, 563, 5472, 7126, 590, 8491, 269, 0, 7212, 2021, 723, 2731, 5249, 2182, 547, 2736, 519, 695, 871, 956, 13615, 1472, 873, 538, 519, 2012, 540, 8155, 519, 7130, 568, 711, 1175, 540, 4008, 5107, 269, 20307, 8260, 11253, 2228, 12092, 476, 1960, 277, 910, 513, 1007, 5045, 19052, 11156, 602, 13063, 7130, 1996, 1018, 649, 723, 2944, 547, 2736, 519, 695, 871, 956, 540, 938, 269, 21058, 7130, 543, 519, 23573, 519, 8706, 1235, 12050, 569, 3409, 602, 519, 695, 871, 956, 540, 13400, 18381, 723, 1500, 2034, 11665, 4961, 540, 1631, 1577, 779, 2736, 269, 9122, 693, 519, 1647, 12064, 20576, 540, 3486, 2090, 267, 519, 530, 760, 2485, 362, 4950, 3377, 3028, 568, 707, 2518, 2707, 585, 2021, 781, 5380, 8220, 596, 547, 519, 269, 1280, 3592, 513, 8717, 972, 723, 1044, 9597, 332, 2720, 827, 519, 7130, 1996, 540, 513, 2486, 799, 568, 669, 9506, 543, 8840, 2476, 689, 519, 695, 871, 956, 540, 269, 27915, 519, 695, 871, 956, 540, 22775, 640, 543, 3006, 1813, 547, 7130, 609, 6351, 267, 789, 666, 581, 5280, 547, 1305, 909, 741, 1378, 1870, 563, 2005, 7512, 721, 547, 3717, 909, 543, 2736, 519, 476, 1428, 1483, 1272, 2984, 593, 4008, 7130, 602, 3580, 2736, 707, 12341, 547, 2736, 2476, 689, 519, 695, 871, 956, 540, 269, 11310, 689, 519, 5133, 1775, 1185, 519, 10373, 17979, 547, 2736, 1863, 689, 519, 695, 871, 956, 540, 7262, 24243, 1813, 547, 519, 8978, 7130, 11124, 269, 634, 2228, 5939, 540, 24139, 1108, 8840, 519, 695, 871, 956, 540, 3909, 7130, 875, 649, 3323, 1711, 513, 1863, 3896, 269, 20222, 4224, 539, 519, 7333, 31730, 554, 8114, 6280, 1310, 513, 4775, 2875, 729, 16957, 569, 12387, 6479, 676, 1079, 2367, 593, 513, 5179, 321, 833, 2864, 982, 782, 11691, 519, 3106, 4145, 540, 519, 563, 303, 2001, 518, 547, 581, 5950, 689, 519, 4539, 540, 519, 519, 1267, 729, 1514, 543, 2797, 7130, 1813, 547, 5225, 2736, 782, 11800, 267, 695, 871, 956, 543, 269, 5617, 3437, 2828, 267, 26250, 902, 689, 546, 1087, 593, 519, 552, 557, 540, 476, 3583, 628, 7115, 1554, 267, 546, 531, 527, 588, 327, 872, 521, 752, 628, 328, 568, 12180, 513, 10554, 547, 1865, 593, 519, 2994, 547, 2736, 519, 269, 2060, 519, 20552, 540, 8474, 543, 519, 9769, 781, 513, 7745, 695, 871, 548, 543, 5832, 9114, 693, 10168, 543, 7130, 2509, 19052, 22988, 1705, 711, 1439, 1310, 269, 26521, 593, 519, 4493, 540, 5198, 7130, 281, 606, 15834, 2079, 2073, 11296, 5191, 630, 1960, 272, 1070, 12577, 519, 695, 871, 956, 630, 1960, 272, 563, 8967, 976, 832, 568, 513, 1514, 4603, 1996, 7130, 476, 2641, 268, 278, 268, 1001, 277, 519, 14081, 534, 5428, 568, 835, 540, 519, 1079, 2101, 4207, 2797, 6105, 540, 519, 8087, 2829, 621, 269, 30323, 603, 1654, 332, 3121, 779, 1920, 547, 9784, 14609, 11297, 538, 513, 19915, 16957, 22634, 7130, 1765, 15884, 9784, 14609, 11297, 593, 555, 11787, 538, 513, 19915, 547, 2048, 19874, 519, 695, 871, 956, 540, 269, 9732, 3235, 18210, 1143, 786, 2736, 695, 871, 956, 540, 10168, 267, 588, 513, 27779, 1996, 513, 18216, 4301, 1164, 1153, 6811, 602, 621, 729, 10363, 7130, 547, 3595, 513, 4116, 585, 269, 2991, 1454, 18064, 3130, 267, 20410, 9627, 14618, 10596, 4550, 20410, 9627, 14618, 10596, 4550, 1673, 4593, 19303, 968, 4157, 9627, 568, 8840, 1863, 689, 519, 695, 871, 956, 540, 563, 308, 330, 9627, 536, 753, 9036, 7130, 1996, 575, 904, 20410, 9627, 781, 14618, 555, 11787, 6368, 17049, 7130, 20410, 9627, 568, 8840, 519, 695, 871, 956, 269, 3245, 16069, 1126, 22888, 547, 8165, 22634, 268, 1143, 543, 7130, 547, 513, 4838, 602, 779, 8840, 519, 695, 871, 956, 540, 938, 30013, 2486, 543, 621, 563, 763, 9153, 540, 546, 531, 527, 16851, 7130, 982, 621, 568, 547, 2736, 519, 695, 871, 956, 540, 547, 1397, 538, 513, 1007, 1957, 602, 7130, 6818, 1317, 621, 269, 769, 519, 2034, 3942, 649, 5059, 593, 1582, 268, 25531, 543, 1336, 602, 7130, 1996, 2021, 729, 865, 24245, 602, 1454, 540, 519, 942, 649, 1705, 8840, 519, 695, 871, 956, 269, 2755, 519, 4182, 7959, 11348, 538, 2021, 1379, 267, 543, 26110, 1832, 3045, 23395, 4507, 547, 7668, 6690, 543, 2021, 267, 2486, 5205, 922, 1378, 10605, 547, 1450, 543, 10110, 519, 1482, 563, 293, 5217, 5595, 7130, 281, 524, 3711, 617, 1014, 8350, 321, 2103, 616, 8840, 6849, 5595, 7130, 281, 524, 3711, 617, 1014, 8350, 321, 2103, 8350, 321, 2103, 616, 8840, 1863, 540, 519, 695, 871, 956, 269, 13834, 7130, 538, 519, 4158, 6585, 1100, 585, 713, 789, 723, 547, 2736, 741, 538, 799, 789, 616, 3843, 547, 2097, 856, 540, 519, 695, 871, 956, 269, 3143, 2197, 585, 2021, 4280, 1004, 547, 2671, 741, 1483, 1272, 13685, 593, 4008, 7130, 1299, 2384, 532, 543, 12341, 547, 2736, 2476, 689, 519, 695, 871, 956, 540, 16563, 269, 12426, 4600, 8661, 524, 14008, 669, 1511, 345, 1554, 676, 15292, 532, 543, 25211, 532, 585, 513, 1007, 11776, 2736, 519, 7554, 540, 7130, 543, 6710, 269, 0, 763, 5065, 4892, 610, 6805, 4892, 616, 849, 1634, 607, 1977, 12075, 269, 634, 2165, 12075, 3357, 827, 950, 18332, 19090, 945, 729, 10478, 585, 3127, 855, 8694, 909, 538, 3013, 543, 2219, 646, 729, 538, 519, 5101, 28851, 563, 2467, 616, 827, 476, 18605, 2249, 267, 602, 616, 5631, 19040, 883, 1079, 2516, 267, 519, 1007, 1158, 267, 543, 519, 2025, 1158, 22171, 269, 3933, 12399, 602, 2661, 538, 5607, 543, 4000, 616, 1572, 2025, 1158, 22171, 267, 519, 3283, 602, 2661, 538, 3162, 3013, 616, 1572, 1007, 1158, 22171, 269, 930, 1806, 540, 1007, 1158, 2249, 540, 22171, 616, 1215, 2401, 3933, 12399, 267, 30064, 3933, 12399, 267, 570, 16951, 3933, 4486, 267, 8293, 597, 7758, 3933, 12399, 267, 543, 519, 26449, 3933, 12399, 269, 663, 930, 2249, 540, 519, 2025, 1158, 22171, 1331, 9040, 9398, 267, 2871, 523, 976, 267, 5839, 320, 13196, 267, 631, 836, 23042, 903, 267, 543, 23516, 15065, 12399, 563, 307, 777, 585, 6423, 2859, 12005, 17926, 14914, 645, 22324, 16974, 9664, 8834, 31594, 1280, 2659, 5071, 645, 18365, 625, 5851, 569, 22830, 15794, 15346, 24436, 1677, 7822, 454, 290, 3298, 616, 10995, 543, 1514, 2831, 789, 899, 547, 2170, 543, 2661, 609, 31459, 267, 789, 616, 24549, 2803, 267, 543, 1152, 22655, 6371, 267, 18720, 543, 2030, 2326, 267, 16933, 1810, 1406, 3548, 5779, 563, 293, 24580, 19246, 616, 1572, 16933, 543, 519, 9038, 616, 1572, 13032, 338, 269, 634, 17707, 4816, 568, 1572, 513, 28419, 269, 589, 20169, 17707, 28419, 666, 9260, 1472, 476, 1220, 547, 476, 18605, 6550, 256, 634, 20169, 4816, 568, 2111, 547, 1796, 909, 4166, 1310, 1373, 4535, 269, 23744, 267, 3979, 19246, 616, 3677, 1287, 519, 7489, 19246, 563, 295, 527, 1403, 1411, 21763, 7348, 6271, 17926, 14914, 645, 22324, 16974, 9664, 8834, 31594, 1280, 2659, 5071, 645, 18365, 625, 5851, 569, 22830, 15794, 15346, 24436, 1677, 7822, 454, 289, 13903, 645, 22324, 16974, 25420, 15026, 21624, 31594, 645, 18365, 625, 9664, 8525, 3245, 5131, 1280, 17718, 9509, 12025, 2051, 334, 0, 3682, 1027, 999, 585, 1603, 513, 6101, 1867, 3268, 547, 3811, 1867, 1603, 3040, 946, 519, 2953, 3898, 585, 4704, 14327, 543, 15853, 269, 1879, 596, 2328, 513, 1867, 267, 596, 786, 1616, 547, 1118, 621, 2653, 547, 1224, 543, 1174, 1934, 616, 930, 4808, 547, 4019, 547, 1022, 1867, 596, 2328, 946, 8638, 281, 8164, 596, 666, 267, 948, 707, 5467, 676, 1210, 8638, 269, 5675, 513, 1433, 1867, 568, 606, 1271, 851, 540, 3592, 3025, 779, 3872, 4876, 281, 519, 3898, 585, 1603, 513, 1433, 1867, 2636, 1053, 547, 2671, 2565, 269, 1411, 949, 723, 547, 2328, 513, 1867, 547, 513, 1412, 743, 1304, 262, 610, 606, 12570, 9614, 1867, 1603, 568, 606, 1898, 5578, 585, 4648, 269, 1323, 1383, 540, 1603, 513, 1867, 568, 547, 1331, 513, 1697, 4367, 1354, 519, 1560, 543, 1603, 513, 3932, 693, 519, 1439, 540, 519, 1867, 519, 5856, 1058, 11441, 547, 563, 279, 2653, 3268, 547, 513, 1390, 1433, 1867, 1603, 513, 1164, 1153, 1433, 1867, 3340, 811, 982, 1175, 519, 1344, 827, 1141, 1433, 1867, 3898, 2093, 269, 7797, 1603, 281, 6101, 972, 616, 1082, 1114, 2010, 540, 5359, 713, 1344, 568, 513, 2596, 7291, 1152, 1354, 596, 3801, 547, 2328, 513, 1867, 267, 596, 1058, 2638, 519, 269, 3503, 519, 1867, 1383, 8047, 13250, 540, 4282, 26034, 19804, 799, 729, 10208, 539, 689, 519, 8552, 540, 519, 3732, 1383, 8047, 1867, 476, 275, 563, 1607, 3296, 6257, 606, 10721, 2497, 4122, 1031, 547, 1867, 8097, 1382, 538, 1082, 3621, 10459, 267, 519, 708, 2784, 3898, 281, 4367, 269, 21894, 3483, 596, 2811, 1603, 513, 1867, 585, 267, 543, 2436, 621, 568, 585, 1153, 610, 1870, 267, 596, 1590, 2285, 707, 1867, 513, 9266, 2497, 950, 1603, 707, 1867, 267, 1589, 269, 6651, 547, 1603, 513, 1788, 1867, 519, 1739, 4967, 1683, 513, 23988, 547, 1867, 1603, 3898, 540, 5359, 563, 29423, 527, 1867, 5423, 585, 562, 338, 2075, 630, 11499, 9443, 543, 4702, 1382, 14643, 264, 543, 521, 3333, 21683, 630, 25791, 2257, 543, 23408, 513, 27790, 3732, 729, 269, 7797, 1603, 3898, 676, 707, 323, 5315, 7429, 606, 1557, 267, 799, 5036, 856, 543, 1219, 1742, 513, 5856, 781, 2070, 827, 513, 1888, 543, 1281, 711, 723, 547, 4183, 26333, 267, 513, 1867, 11828, 513, 1888, 538, 513, 11295, 267, 2653, 3562, 17000, 3898, 5359, 616, 5258, 883, 6810, 609, 26333, 543, 1016, 3650, 902, 563, 26422, 325, 652, 3803, 1867, 3898, 3803, 1867, 1142, 2875, 568, 2838, 547, 2328, 513, 3102, 1867, 827, 519, 1788, 519, 1867, 1058, 2874, 540, 269, 31131, 1867, 1603, 476, 4366, 274, 1603, 2511, 543, 3898, 4170, 5359 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 504, 1916, 3080, 540, 519, 1101, 8037, 3527, 540, 519, 24505, 729, 13629, 267, 4358, 609, 5130, 476, 3707, 274, 267, 519, 10363, 11356, 7931, 5889, 11844, 8644, 518, 26324, 267, 2663, 8678, 676, 1776, 30624, 2444, 626, 1418, 267, 13198, 24473, 24686, 5328, 26324, 269, 634, 5449, 729, 27333, 2966, 547, 2408, 538, 5181, 1700, 21776, 476, 3707, 273, 267, 855, 729, 4362, 676, 519, 590, 580, 584, 534, 388, 505, 320, 7128, 543, 1223, 556, 655, 10235, 1152, 538, 5130, 540, 519, 1985, 1032, 269, 4340, 547, 1585, 6589, 267, 519, 5449, 11356, 729, 7307, 538, 29246, 11732, 676, 6723, 594, 9366, 388, 503, 30501, 267, 593, 1010, 22302, 942, 689, 11049, 519, 605, 5025, 660, 2158, 30501, 575, 1794, 8291, 966, 3153, 320, 543, 609, 1152, 8589, 7459, 689, 519, 7193, 323, 305, 269, 9549, 12206, 10645, 602, 519, 11356, 834, 651, 696, 519, 2442, 13999, 5483, 257, 593, 519, 2208, 540, 4187, 267, 6466, 9197, 26324, 857, 684, 4967, 602, 922, 10009, 729, 9765, 5944, 1507, 269, 1717, 267, 14787, 7101, 340, 623, 26324, 24926, 388, 503, 534, 6811, 602, 519, 24505, 781, 1686, 666, 581, 14360, 1394, 547, 513, 18259, 5106, 5645, 856, 2663, 676, 4936, 1014, 1209, 1235, 608, 6150, 593, 8168, 8513, 281, 538, 5130, 476, 3707, 274, 267, 15182, 974, 681, 26324, 583, 340, 27581, 2813, 519, 11356, 7931, 5889, 11844, 8644, 518, 26324, 267, 543, 513, 5925, 6728, 540, 519, 1482, 2012, 267, 609, 799, 519, 7737, 328, 1115, 5497, 547, 2285, 519, 12705, 540, 513, 8375, 30624, 2444, 626, 3350, 538, 27597, 563, 15703, 4589, 10250, 519, 3312, 5870, 1063, 519, 24505, 543, 519, 7193, 323, 305, 547, 4571, 268, 3707, 274, 269, 1358, 3277, 547, 2901, 519, 2490, 540, 29500, 593, 519, 4395, 267, 1310, 853, 2718, 2784, 267, 610, 547, 9525, 267, 538, 476, 3707, 274, 267, 540, 7193, 323, 305, 2367, 30097, 3397, 24926, 543, 8891, 516, 19693, 1149, 30501, 16927, 320, 388, 503, 328, 267, 945, 3576, 621, 2390, 2933, 547, 556, 6716, 1125, 519, 5742, 689, 5437, 476, 3707, 274, 269, 634, 1079, 941, 13604, 8678, 676, 824, 1209, 1235, 610, 21340, 1623, 12949, 9088, 267, 1519, 631, 8811, 2967, 2274, 1203, 324, 267, 631, 8811, 2967, 7395, 615, 340, 267, 543, 12254, 857, 340, 853, 334, 1014, 269, 966, 331, 26324, 9188, 30501, 7304, 26324, 1723, 14505, 729, 519, 1101, 1268, 4857, 607, 6205, 540, 519, 24505, 267, 1247, 3397, 24926, 729, 11280, 5516, 339, 6033, 282, 19693, 1149, 30501, 16927, 320, 388, 503, 328, 543, 20045, 323, 553, 541, 941, 25461, 609, 1071, 19945, 1154, 30921, 267, 1247, 2274, 1203, 324, 6039, 607, 519, 23070, 543, 7395, 615, 340, 9859, 960, 538, 519, 16899, 269, 12832, 340, 681, 26324, 9188, 30501, 267, 519, 1609, 337, 6548, 543, 2192, 3146, 1584, 539, 5067, 540, 4937, 12832, 565, 2801, 681, 26324, 9188, 30501, 267, 729, 849, 5702, 24625, 908, 609, 1312, 519, 7193, 323, 305, 543, 519, 24505, 563, 15152, 713, 5583, 267, 519, 24505, 30409, 513, 1895, 540, 1164, 8573, 21403, 7980, 945, 941, 5275, 547, 1244, 846, 4165, 2158, 30501, 267, 519, 1034, 3742, 540, 7247, 729, 717, 515, 3073, 515, 2997, 29707, 30501, 1765, 15367, 729, 693, 2899, 606, 30624, 2444, 626, 543, 1884, 545, 2174, 684, 626, 269, 634, 24505, 849, 2451, 513, 3140, 2594, 607, 513, 4759, 540, 519, 7193, 323, 305, 781, 24686, 5328, 4165, 8811, 527, 2401, 924, 13571, 267, 799, 849, 3769, 519, 2847, 1882, 1773, 965, 5443, 781, 13571, 543, 1079, 824, 1507, 2797, 2516, 281, 519, 31012, 3212, 553, 1218, 262, 9549, 267, 519, 23826, 4658, 781, 5742, 630, 300, 4696, 5308, 313, 1040, 634, 7681, 533, 716, 729, 20177, 538, 4864, 476, 3707, 274, 267, 1310, 513, 5728, 633, 5870, 538, 799, 519, 24505, 729, 6719, 676, 20045, 323, 553, 541, 543, 606, 715, 269, 20550, 2737, 30501, 269, 31072, 540, 519, 13571, 267, 519, 24505, 1869, 9738, 6402, 609, 824, 11685, 2516, 267, 543, 729, 2523, 2673, 547, 2451, 26310, 4317, 24273, 630, 296, 517, 17131, 267, 476, 388, 502, 974, 325, 534, 27215, 924, 322, 267, 23323, 528, 594, 867, 26324, 2583, 30501, 267, 15182, 717, 515, 2401, 614, 1040, 10801, 476, 3707, 274, 267, 7395, 615, 340, 267, 607, 24505, 11347, 267, 4371, 12909, 609, 519, 623, 301, 388, 504, 267, 17935, 547, 834, 22056, 513, 3376, 22687, 540, 519, 11180, 543, 13348, 5328, 4229, 4724, 3142, 1524, 519, 4165, 2158, 30501, 12512, 8487, 8138, 8019, 267, 519, 24505, 781, 6239, 9730, 3576, 15335, 538, 519, 1482, 2679, 607, 519, 7193, 323, 305, 21287, 267, 693, 519, 1284, 343, 2401, 15335, 593, 9197, 5889, 978, 592, 14241, 9335, 476, 1428, 267, 29246, 11732, 269, 898, 4166, 4080, 2348, 930, 5215, 540, 2818, 540, 782, 6803, 10080, 267, 543, 6041, 538, 782, 519, 1292, 4872, 267, 609, 1034, 3742, 2281, 538, 6280, 10034, 543, 1851, 1153, 974, 18291, 262, 18787, 269, 898, 849, 512, 719, 539, 922, 4527, 1851, 519, 4600, 267, 2523, 1346, 693, 519, 4936, 1014, 24020, 7577, 267, 7247, 621, 9415, 593, 26453, 582, 720, 13485, 269, 4340, 547, 4013, 5638, 267, 519, 1101, 10805, 2818, 849, 3769, 594, 3073, 340, 594, 14493, 543, 476, 388, 502, 974, 325, 534, 10469, 322, 990, 267, 609, 3544, 1623, 12949, 9088, 971, 607, 14858, 1386, 324, 328, 15016, 340, 267, 30097, 7195, 14153, 388, 503, 267, 661, 706, 731, 543, 7579, 3821, 2725, 345, 514, 806, 30501, 267, 19257, 576, 320, 7579, 1014, 267, 6424, 1160, 323, 534, 267, 1855, 31121, 645, 1872, 333, 926, 340, 267, 22354, 745, 3400, 584, 267, 30097, 20707, 545, 990, 545, 24926, 267, 30097, 594, 269, 3474, 327, 517, 267, 645, 1794, 559, 631, 2863, 6756, 340, 267, 543, 631, 8811, 2967, 681, 1446, 320, 269, 6271, 4528, 5267, 602, 14858, 1386, 324, 328, 15016, 340, 267, 945, 729, 849, 513, 7193, 323, 305, 812, 267, 729, 5280, 676, 22354, 745, 10162, 388, 503, 8619, 609, 9591, 513, 24505, 13540, 693, 595, 1663, 329, 2160, 630, 6518, 1185, 882, 11343, 547, 27584, 24926, 1040, 2353, 891, 5638, 21372, 519, 7589, 540, 519, 623, 301, 388, 504, 799, 267, 998, 594, 15351, 21972, 328, 388, 505, 26324, 267, 849, 10645, 547, 723, 3964, 713, 7214, 11685, 3350, 563, 3707, 274, 1700, 3707, 275, 281, 1065, 1833, 543, 32134, 454, 1103, 2904, 476, 3707, 274, 267, 590, 580, 584, 534, 388, 505, 320, 1185, 9676, 606, 24505, 812, 267, 519, 18802, 1014, 19257, 576, 320, 4437, 10202, 267, 945, 729, 23827, 730, 543, 8815, 547, 28111, 267, 3056, 519, 8128, 883, 24505, 2922, 8075, 269, 13536, 602, 1032, 267, 519, 8128, 9783, 606, 10654, 15549, 585, 18673, 631, 8811, 2967, 5484, 328, 1075, 267, 7114, 1864, 607, 1776, 24505, 561, 807, 2581, 24568, 1249, 267, 5484, 328, 1075, 1185, 2943, 547, 6443, 519, 1895, 267, 543, 729, 7361, 23387, 540, 922, 2238, 269, 2201, 5412, 476, 1428, 267, 519, 5728, 7128, 6896, 922, 29097, 5106, 269, 2311, 9197, 5889, 978, 592, 14241, 267, 621, 669, 2331, 2390, 513, 7708, 557, 540, 7193, 323, 305, 6054, 267, 19429, 676, 3816, 639, 918, 4752, 2401, 267, 609, 1651, 3234, 3215, 2963, 827, 519, 24505, 269, 11153, 941, 18486, 267, 1519, 966, 331, 26324, 9188, 30501, 7304, 26324, 1723, 14505, 543, 7395, 615, 340, 269, 634, 2244, 26782, 8891, 745, 23108, 5633, 267, 13653, 540, 519, 1773, 965, 5443, 781, 13571, 267, 729, 849, 13603, 909, 267, 519, 6054, 2348, 7000, 602, 646, 729, 13384, 1681, 519, 24505, 563, 1103, 782, 267, 15823, 2367, 543, 2021, 16143, 540, 24505, 15376, 610, 1623, 12949, 625, 941, 16271, 547, 513, 2527, 4693, 538, 1101, 1079, 3275, 540, 476, 3707, 275, 269, 2755, 23108, 5633, 781, 5305, 729, 10288, 676, 4165, 2158, 30501, 5128, 267, 966, 331, 26324, 9188, 30501, 7304, 26324, 1723, 14505, 1336, 5128, 30992, 547, 476, 1428, 1296, 540, 2182, 4074, 269, 634, 5480, 1336, 1864, 16944, 540, 834, 754, 836, 1359, 3557, 1931, 543, 3354, 2668, 5381, 5220, 941, 19942, 547, 14858, 1386, 324, 328, 15016, 340, 267, 547, 7395, 615, 340, 267, 543, 547, 7395, 615, 340, 781, 7385, 1323, 8619, 269, 20045, 323, 553, 541, 267, 676, 1287, 849, 513, 4759, 540, 519, 7193, 323, 305, 267, 3576, 5279, 540, 519, 24505, 267, 609, 3397, 24926, 2921, 513, 6239, 9730, 10160, 269, 6969, 4989, 476, 3707, 275, 267, 519, 3350, 729, 3238, 538, 16395, 609, 519, 623, 301, 388, 504, 543, 519, 7193, 323, 305, 1532, 17977, 2451, 6122, 22135, 10580, 540, 594, 320, 388, 503, 328, 269, 8625, 267, 789, 5206, 606, 1930, 4484, 540, 13889, 547, 4165, 2158, 30501, 267, 6998, 585, 27597, 781, 7525, 15639, 689, 519, 8109, 13571, 269, 2201, 2904, 476, 2190, 267, 476, 3707, 275, 267, 519, 5742, 849, 9411, 513, 834, 13233, 5937, 655, 7095, 29663, 2580, 7258, 519, 2817, 27565, 9549, 1700, 307, 26324, 339, 26324, 637, 30501, 267, 23108, 5633, 781, 13571, 267, 519, 13662, 11403, 267, 519, 13662, 388, 504, 267, 631, 4696, 5308, 313, 267, 543, 8891, 516, 5440, 320, 781, 14891, 2817, 1235, 563, 1103, 4728, 476, 3707, 275, 267, 519, 7193, 323, 305, 1185, 8678, 513, 3443, 9113, 2700, 2817, 14891, 2349, 665, 630, 8042, 291, 1070, 799, 849, 3769, 519, 623, 301, 388, 504, 267, 13662, 11403, 267, 543, 519, 2817, 27565, 9549, 630, 14149, 299, 1040, 8625, 609, 3751, 7812, 594, 543, 1010, 5480, 267, 519, 1895, 5645, 856, 519, 4864, 476, 2537, 595, 19281, 267, 4611, 538, 4165, 2158, 30501, 781, 10654, 543, 519, 796, 10561, 524, 11970, 540, 2112, 609, 519, 27469, 269, 3807, 835, 1554, 1310, 519, 19420, 267, 966, 331, 26324, 9188, 30501, 7304, 26324, 1723, 14505, 729, 15685, 543, 759, 25390, 2797, 2238, 538, 519, 1930, 267, 5189, 676, 519, 5428, 2046, 607, 834, 1492, 8396, 656, 585, 4936, 1014, 5191, 1701, 2201, 4864, 476, 4029, 267, 24505, 2818, 941, 593, 1688, 693, 519, 28487, 4371, 547, 26250, 519, 4414, 8136, 2390, 922, 13675, 883, 29246, 11732, 267, 519, 2500, 1376, 540, 8168, 13567, 563, 3528, 5239, 476, 3707, 275, 267, 950, 621, 1185, 3964, 11271, 538, 782, 540, 9922, 540, 29246, 11732, 267, 519, 24505, 1185, 6410, 922, 22071, 593, 1975, 26324, 30198, 592, 14241, 9335, 269, 901, 729, 513, 5449, 4662, 823, 540, 519, 1284, 327, 3944, 25638, 267, 17355, 18050, 1282, 519, 8265, 8165, 267, 543, 27333, 642, 663, 531, 1242, 834, 2041, 3219, 3661, 257, 676, 519, 24505, 781, 1378, 2818, 269, 2755, 14322, 513, 1857, 3068, 267, 519, 5742, 1185, 547, 10205, 922, 2797, 11356, 281, 7931, 5889, 11844, 8644, 518, 26324, 729, 25868, 676, 519, 7193, 323, 305, 267, 543, 922, 1101, 3390, 540, 713, 1007, 3126, 267, 16912, 539, 4503, 267, 729, 535, 1023, 1881, 676, 519, 19738, 1310, 476, 3192, 273, 269, 769, 922, 8669, 267, 593, 5181, 476, 1428, 267, 519, 24505, 22305, 13894, 17650, 10044, 7377, 528, 592, 14241, 267, 799, 729, 1303, 27434, 547, 6723, 595, 26324, 6050, 30501, 267, 519, 5339, 14787, 543, 29787, 269, 634, 24505, 849, 23032, 595, 26324, 6050, 30501, 781, 4914, 1790, 32123, 2689, 267, 700, 2541, 320, 563, 16729, 16395, 693, 519, 4098, 540, 5181, 267, 519, 5742, 12842, 519, 678, 2794, 31012, 9549, 3366, 676, 23849, 850, 1323, 1725, 739, 324, 269, 2201, 5181, 476, 2767, 267, 519, 24505, 543, 922, 5449, 24686, 5328, 4165, 8811, 527, 2401, 924, 9164, 4646, 513, 2797, 19710, 1572, 2817, 14891, 13571, 630, 293, 21254, 1070, 799, 849, 16922, 519, 13662, 11403, 269, 1306, 24505, 26195, 9081, 267, 966, 331, 26324, 9188, 30501, 7304, 26324, 1723, 14505, 267, 20045, 323, 553, 541, 543, 853, 11798, 578, 4371, 513, 10160, 1142, 593, 519, 674, 21254, 2817, 7027, 269, 634, 1007, 533, 716, 267, 16030, 4229, 602, 941, 27723, 21376, 547, 1142, 824, 267, 729, 20177, 1152, 1310, 519, 1209, 1235, 1185, 759, 25390, 741, 12503, 593, 519, 623, 301, 299, 543, 623, 301, 388, 504, 267, 1312, 540, 799, 15189, 547, 6443, 513, 1279, 3856, 19710, 269, 4340, 547, 1884, 545, 2174, 684, 626, 17009, 520, 2506, 559, 595, 328, 675, 320, 267, 621, 8486, 1540, 835, 540, 519, 7193, 323, 305, 781, 24816, 630, 12901, 8811, 527, 2401, 2572, 267, 834, 523, 878, 1117, 676, 519, 12625, 540, 1496, 1492, 13662, 11403, 316, 1514, 1235, 8442, 1996, 519, 824, 630, 8042 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2631, 328, 2987, 8584, 1532, 2135, 563, 14549, 5545, 11414, 519, 5545, 1893, 689, 4009, 835, 538, 513, 3636, 267, 2502, 3159, 269, 24613, 1454, 4514, 982, 519, 27574, 2453, 543, 4938, 629, 540, 824, 2472, 267, 621, 4485, 519, 1893, 538, 606, 7471, 1259, 267, 609, 4901, 267, 19827, 267, 27515, 267, 12383, 267, 6337, 267, 8039, 267, 543, 811, 563, 763, 4295, 9153, 540, 5274, 5545, 568, 547, 1397, 596, 875, 3388, 1568, 543, 2760, 547, 2503, 596, 547, 4012, 1227, 917, 1919, 602, 649, 10093, 1406, 2943, 6026, 596, 269, 901, 2306, 707, 3460, 883, 5545, 513, 7772, 267, 607, 1142, 1007, 4062, 602, 8813, 883, 1747, 2306, 2631, 543, 1169, 1007, 1383, 4845, 568, 2649, 1043, 563, 7659, 2035, 616, 6045, 609, 14246, 543, 9644, 267, 5373, 596, 883, 519, 10808, 7146, 1532, 565, 1206, 602, 596, 991, 547, 1174, 5545, 1247, 5329, 1919, 1524, 3562, 268, 24160, 543, 2502, 269, 3776, 3804, 568, 547, 1291, 596, 689, 835, 968, 2775, 15941, 4090, 892, 547, 519, 1985, 865, 602, 596, 3251, 10069, 1242, 543, 9599, 827, 519, 1893, 563, 14549, 5545, 3568, 912, 265, 2859, 982, 476, 4335, 3817, 540, 1292, 1543, 454, 265, 1323, 574, 725, 540, 1169, 554, 4275, 1146, 320, 543, 737, 520, 752, 3570, 1915, 454, 265, 3683, 476, 5197, 271, 19827, 540, 6863, 1913, 543, 2453, 9275, 676, 5065, 10529, 454, 265, 2859, 982, 476, 8517, 1383, 5220, 454, 265, 23123, 24867, 300, 264, 1383, 4845, 2736, 23957, 593, 1169, 1383, 4845, 585, 2698, 9355, 454, 265, 20308, 3756, 543, 2689, 17118, 602, 1832, 3950, 540, 707, 3210, 1686, 547, 948, 1445, 593, 8373, 9634, 454, 265, 1684, 17899, 540, 6337, 543, 2686, 4967, 547, 1921, 707, 5545, 547, 1483, 1272, 454, 265, 1656, 1454, 811, 2336, 14549, 5545, 786, 23666, 596, 609, 922, 14246, 267, 5898, 267, 543, 18854, 269, 8281, 621, 2221, 543, 1376, 707, 3460, 2336, 268, 674, 12089, 3765, 3250, 10389, 1462, 657, 267, 12961, 563, 305, 520, 902, 543, 17352, 454, 288, 3020, 3391, 454, 14187, 2069, 3884, 1406, 3274, 968, 339, 4381, 1848, 634, 1655, 2069, 2200, 1291, 596, 538, 519, 1318, 4287, 607, 596, 6445, 538, 519, 1025, 3471, 269, 5274, 5545, 568, 835, 540, 1346, 1390, 2069, 10274, 594, 6557, 19914, 594, 12349, 563, 31819, 1934, 568, 1360, 1134, 6896, 267, 27764, 1229, 543, 22051, 267, 855, 1810, 1406, 3274, 4945, 998, 519, 15942, 269, 594, 1131, 3810, 18973, 596, 547, 4444, 513, 10518, 540, 31940, 543, 930, 7344, 26004, 22796, 269, 1975, 754, 513, 1434, 4308, 540, 942, 593, 1142, 3184, 269, 6258, 621, 269, 3973, 798, 621, 1586, 269, 1656, 1586, 269, 634, 3280, 4999, 8039, 538, 519, 2038, 11271, 616, 967, 10134, 839, 1043, 585, 575, 908, 543, 10992, 707, 3356, 563, 296, 723, 1044, 547, 3567, 1082, 2053, 693, 713, 1448, 543, 972, 568, 1100, 12990, 585, 21599, 950, 621, 2501, 547, 31423, 879, 613, 2090, 269, 1809, 713, 1982, 568, 11613, 967, 10134, 839, 1043, 952, 596, 616, 4947, 689, 606, 2296, 18702, 4282, 269, 3807, 1205, 930, 31940, 543, 3595, 909, 513, 737, 3570, 13691, 585, 707, 21236, 269, 6657, 2306, 3501, 563, 296, 2648, 713, 813, 269, 1924, 1454, 865, 267, 594, 12349, 621, 711, 1152, 593, 1250, 5839, 855, 585, 1250, 6049, 607, 1134, 269, 898, 779, 3501, 256, 634, 1152, 3364, 621, 779, 15877, 568, 519, 2702, 547, 5348, 322, 3356, 998, 1114, 5867, 563, 8649, 5074, 855, 711, 1390, 693, 1489, 454, 2005, 568, 5863, 1018, 513, 3017, 621, 2306, 547, 1451, 1945, 689, 2576, 945, 6487, 875, 547, 1459, 2035, 538, 513, 1259, 4896, 666, 1174, 563, 2005, 10301, 519, 1448, 540, 1373, 13587, 1516, 2433, 264, 607, 782, 540, 513, 6727, 5545, 4667, 547, 581, 2653, 630, 663, 594, 1611, 602, 538, 519, 1655, 1259, 2009, 264, 910, 607, 594, 993, 2965, 1565, 543, 8357, 1944, 670, 4275, 1146, 320, 563, 25802, 1360, 1434, 910, 952, 596, 723, 22027, 267, 1376, 609, 519, 968, 299, 924, 892, 4528, 607, 594, 1705, 267, 543, 4166, 2614, 596, 786, 1294, 621, 779, 4502, 519, 22010, 6902, 994, 26303, 281, 9561, 513, 5182, 585, 711, 14775, 547, 5048, 31392, 1489, 454, 268, 4858, 330, 12229, 267, 5549, 563, 268, 476, 11820, 269, 279, 15406, 454, 268, 13013, 2473, 476, 1015, 269, 277, 269, 279, 610, 2663, 267, 476, 5038, 19229, 16267, 454, 268, 6520, 28951, 454, 268, 681, 730, 476, 1321, 266, 585, 519, 1739, 912, 268, 5606, 7528, 550, 19072, 843, 15850, 267, 30926, 267, 610, 10684, 2422, 610, 22108, 454, 268, 9736, 476, 1001, 275, 4858, 330, 12229, 267, 5549, 563, 4415, 7731, 19457, 1305, 909, 267, 909, 547, 3670, 1920, 2818, 666, 946, 713, 813, 269, 0, 303, 18543, 3400, 1231, 2986, 1323, 32148, 27003, 9866, 5703, 7201, 674, 9529, 322, 2100, 563, 12901, 338, 9866, 5703, 7201, 674, 9529, 322, 2100, 6993, 660, 338, 616, 552, 639, 3469, 7786, 540, 519, 1920, 4813, 545, 13160, 543, 267, 2059, 609, 519, 1644, 729, 1186, 543, 10987, 267, 4866, 547, 519, 1931, 670, 2096, 523, 30601, 269, 4165, 338, 7960, 689, 729, 335, 6438, 11937, 538, 519, 31350, 17675, 1974, 267, 827, 476, 9610, 2929, 1296, 3516, 267, 543, 4129, 1881, 1310, 519, 4473, 540, 15496, 2371, 563, 303, 18543, 3400, 1231, 9866, 5703, 7201, 674, 9529, 322, 2100, 269, 2717, 6352, 568, 513, 5386, 547, 21432, 8869, 344, 6219, 16030, 14947, 9274, 799, 616, 5256, 2890, 326, 600, 564, 4451, 5052, 540, 6079, 2371, 267, 799, 3132, 5256, 13708, 26347, 630, 338, 11279, 2281, 1916, 14549, 22458, 9866, 5703, 7201, 674, 9529, 322, 2100, 563, 25332, 6326, 1975, 2803, 2986, 674, 2426, 328, 7201, 674, 9529, 322, 2100, 269, 594, 20944, 634, 12726, 3245, 513, 623, 19991, 2986, 29968, 3223, 696, 1280, 476, 273, 547, 476, 274, 17963, 769, 7046, 5113, 563, 25332, 5703, 513, 22323, 22019, 2507, 907, 5976, 519, 948, 540, 12962, 2507, 326, 582, 547, 917, 827, 1082, 12962, 16634, 621, 729, 513, 1390, 1995, 563, 31800, 770, 568, 513, 2713, 11248, 269, 898, 666, 581, 1031, 547, 1118, 3694, 543, 23931, 10425, 971, 607, 14420, 543, 9174, 269, 7756, 2249, 540, 13803, 949, 2014, 5563, 971, 607, 4278, 2313, 269, 14717, 770, 5161, 540, 2582, 2281, 269, 1358, 616, 4130, 982, 3662, 543, 2030, 2281, 267, 855, 5594, 3677, 982, 4551, 563, 291, 545, 582, 11710, 723, 741, 15466, 15985, 956, 538, 513, 8258, 11460, 269, 3933, 665, 582, 11710, 723, 1034, 540, 741, 15466, 15985, 956, 2282, 519, 3544, 6316, 540, 519, 6565, 269, 2560, 3933, 665, 582, 5072, 267, 4277, 569, 267, 723, 741, 15466, 15985, 956, 11231, 538, 513, 8258, 269, 667, 545, 582, 5072, 723, 741, 1535, 1803, 332, 538, 519, 4099, 540, 519, 3597, 543, 943, 5979, 655, 3544, 519, 1535, 1803, 332, 563, 307, 5341, 2345, 616, 5386, 856, 326, 992, 2195, 610, 16289, 1137, 593, 2371, 267, 13479, 267, 6132, 2380, 267, 543, 1978, 1486, 1235, 269, 1358, 616, 540, 3309, 2497, 543, 1599, 563, 31800, 770, 19204, 6844, 532, 9866, 5703, 7201, 674, 9529, 322, 2100, 269, 14717, 6814, 616, 32541, 267, 2582, 16052, 539, 14471, 9286, 607, 2818, 540, 519, 17343, 10806, 454, 14549, 4258, 2131, 19204, 4767, 896, 26642, 322, 2100, 269, 898, 729, 513, 8799, 1995, 563, 326, 9866, 6326, 4826, 645, 11448, 654, 768, 338, 543, 4033, 5843, 15816, 7201, 674, 9529, 322, 2100, 563, 25332, 6326, 634, 674, 745, 1746, 12856, 2986, 3600, 969, 15252, 2068, 4929, 17343, 593, 28306, 328, 269, 898, 729, 513, 1390, 1995, 547, 1294, 519, 24032, 865, 5693, 563, 25332, 6326, 631, 1601, 23516, 7201, 674, 9529, 322, 2100, 563, 291, 16554, 340, 5757, 568, 835, 540, 519, 1034, 1271, 5757, 540, 18491, 531, 663, 269, 1284, 6394, 930, 5439, 540, 1216, 689, 7043, 21542, 8498, 1858, 799, 6013, 693, 476, 2918, 269, 18891, 2412, 715, 543, 476, 11463, 269, 276, 4510, 2004, 661, 547, 2708, 28506, 2023, 545, 4763, 540, 519, 5757, 269, 1306, 621, 568, 513, 8731, 1370, 658, 5757, 267, 649, 15991, 3893, 1022, 1544, 19241, 976, 689, 3989, 3732, 269, 1284, 9070, 730, 519, 2551, 540, 7498, 291, 663, 745, 742, 729, 9866, 5703, 896, 674, 9529, 322, 2100, 269, 667, 663, 745, 742, 568, 513, 17343, 269, 898, 729, 513, 1390, 1995, 563, 293, 9529, 322, 2100, 9751, 29140, 4477, 323, 2311, 918, 309, 16679, 777, 4673, 585, 519, 1053, 540, 1362, 26577, 563, 300, 657, 10181, 334, 30733, 9866, 5703, 7201, 674, 9529, 322, 2100, 563, 4002, 542, 2281, 9763, 896, 674, 9529, 322, 2100, 269, 898, 729, 513, 1390, 1995, 547, 1294, 519, 2281, 865, 5693, 563, 25332, 6326, 17018, 10181, 334, 12209, 896, 674, 9529, 322, 2100, 4586, 10743, 540, 6281, 6810, 540, 918, 309, 16679, 777, 4673, 11504, 519, 2866, 7886, 540, 26642, 322, 2100, 799, 568, 4371, 1169, 3018, 538, 519, 1153, 22402, 543, 19927, 875, 547, 27043, 26642, 322, 2100, 269, 769, 519, 1101, 8400, 267, 4841, 941, 11461, 676, 3220, 269, 32038, 10620, 16217, 330, 1662, 543, 3220, 269, 717, 6185, 918, 1117, 22894, 945, 18618, 2740, 609, 938, 1153, 563, 7804, 269, 32038, 10620, 16217, 330, 1662, 267, 670, 7495, 267, 4972, 540, 31814, 267, 631, 836, 531, 648, 2160, 729, 835, 540, 519, 4199, 1268, 538, 519, 476, 272, 560, 1000, 15619, 13186, 8400, 593, 476, 2537, 270, 6187, 270, 1240, 538, 4437, 1774, 577, 6997, 538, 918, 309, 16679, 777, 4673, 563, 27650, 3610, 543, 6281, 3610, 941, 8036, 593, 875, 547, 27043, 513, 26642, 322, 2100, 543, 941, 849, 2016, 4388, 3823, 7041, 540, 5439, 547, 581, 1031, 585, 13156, 896, 26642, 322, 2100, 269, 1452, 3610, 2417, 786, 5721, 1053, 543, 1128, 650, 3621, 29525, 538, 873, 563, 272, 560, 3828, 15619, 13186, 8400, 540, 26642, 322, 2100, 729, 5342, 593, 476, 2537, 270, 6187, 270, 1240, 538, 4437, 1774, 577, 6997, 267, 918, 309, 16679, 777, 4673, 269, 0, 20464, 476, 280, 267, 476, 1001, 279, 454, 3528, 14139, 19826, 27627, 1107, 513, 15591, 3620, 7026, 17079, 1107, 18947, 20885, 26831, 13177, 1284, 1170, 568, 1818, 13476, 7888, 1979, 6955, 10415, 602, 23271, 538, 513, 2339, 540, 3275, 563, 2171, 1170, 31267, 713, 676, 2870, 513, 1623, 25027, 11450, 1063, 1079, 4551, 267, 1142, 21751, 538, 513, 1808, 4305, 269, 1261, 5063, 8678, 6789, 308, 779, 12443, 23855, 545, 13464, 267, 1141, 646, 568, 18440, 909, 519, 1184, 693, 519, 14151, 4741, 585, 13641, 2801, 5303, 543, 16743, 563, 257, 289, 2590, 532, 782, 891, 2609, 1927, 543, 538, 1483, 8996, 2175, 693, 1804, 10253, 2115, 547, 581, 2944, 2437, 1284, 1170, 1767, 269, 834, 293, 6136, 267, 649, 723, 513, 835, 6361, 8584, 29292, 4081, 1449, 5127, 9744, 1934, 693, 10897, 7563, 2316, 602, 568, 19918, 14018, 547, 2626, 519, 6967, 2504, 2055, 543, 7903, 1646, 540, 519, 2029, 1701, 0, 19667, 1707, 5517, 6096, 454, 26607, 267, 4239, 476, 274, 476, 1001, 279, 2433, 278, 6751, 20153, 773, 4446, 752, 269, 10406, 1249, 3211, 3885, 8691, 543, 1920, 7824, 2596, 3728, 5013, 1187, 18700, 6498, 1249, 3211, 693, 8940, 19033, 1873, 3311, 19298, 635, 2979, 4976, 8691, 543, 3728, 5013, 563, 1911, 9046, 18527, 6096, 454, 26607, 267, 4239, 476, 274, 476, 1001, 279, 2433, 277, 6751, 1772, 8475, 22084, 17850, 269, 9046, 8691, 3211, 2042, 2979, 4976, 543, 6498, 8691, 4976, 2055, 1966, 3211, 4015, 540, 4647, 873, 543, 2979, 563, 10403, 15026, 4569, 6096, 6103, 476, 276, 454, 26607, 267, 4239, 476, 274, 476, 1001, 279, 2433, 276, 6751, 20153, 773, 4446, 752, 269, 4569, 4976, 1863, 7792, 3211, 3446, 1747, 1871, 7857, 2338, 2262, 2042, 476, 276, 628, 2790, 4015, 540, 2979, 14469, 3211, 3446, 4647, 873, 543, 1863, 7792, 4976, 563, 30747, 7124, 1912, 9582, 6096, 5131, 454, 26607, 267, 4239, 476, 274, 476, 1001, 279, 2433, 276, 6751, 5153, 7315, 773, 28522, 582, 269, 15206, 18551, 3211, 1863, 4976, 7792, 9371, 7792, 7124, 3211, 1863, 2979, 4976, 18551, 7824, 563, 28053, 10406, 1656, 14600, 2670, 8018, 12226, 454, 26607, 267, 4239, 476, 274, 476, 1001, 279, 2433, 276, 6751, 1849, 18311, 6428, 1154, 269, 8426, 6498, 339, 2670, 543, 32450, 4976, 4267, 4783, 15699, 3296, 1591, 4783, 5378, 2670, 21458, 4976, 4267, 3296, 6498, 543, 2689, 2626, 1883, 563, 30747, 7124, 18103, 1400, 10606, 8018, 454, 26607, 267, 4239, 476, 274, 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 ]
[ 1210, 552, 317, 4135, 815, 552, 22677, 271, 269, 273, 265, 274, 264, 815, 552, 317, 271, 269, 277, 269, 2334, 779, 899, 6031, 476, 1911, 260, 2208, 2557, 585, 476, 271, 269, 277, 942, 1296, 692, 28775, 1631, 968, 324, 892, 814, 3323, 1818, 811, 2631, 547, 596, 269, 8786, 610, 3143, 267, 5225, 1577, 803, 917, 538, 8292, 2630, 269, 0, 258, 13600, 281, 2904, 476, 1001, 276, 692, 1012, 11879, 25705, 1107, 634, 2667, 18870, 7726, 1109, 272, 692, 763, 2667, 18870, 7726, 568, 513, 11879, 25705, 7726, 7392, 593, 519, 17918, 10378, 602, 3947, 1449, 2389, 5474, 513, 1978, 2179, 540, 8373, 630, 1492, 1034, 13542, 727, 1373, 519, 645, 1245, 325, 3166, 7726, 7392, 1040, 4530, 2389, 5474, 1419, 2161, 602, 789, 723, 8373, 538, 1140, 8724, 513, 1978, 1377, 540, 11007, 593, 713, 2243, 1826, 269, 769, 713, 2022, 649, 4927, 1413, 693, 513, 3044, 5665, 5650, 602, 786, 948, 596, 2333, 707, 6111, 1377, 543, 3442, 519, 1318, 4781, 950, 5185, 609, 1079, 9583, 2953, 3681, 780, 1012, 17918, 26592, 1107, 20976, 11582, 1109, 3682, 21793, 692, 4002, 519, 17918, 621, 568, 1360, 2693, 602, 1449, 2389, 5474, 786, 7237, 2042, 602, 4125, 6986, 19406, 269, 634, 1883, 547, 6061, 891, 2042, 568, 547, 581, 3222, 540, 1079, 1919, 281, 589, 269, 634, 2626, 991, 711, 581, 7229, 10502, 645, 269, 26332, 3215, 11234, 2626, 3681, 1522, 581, 519, 1655, 3070, 692, 1012, 22054, 4856, 14431, 1107, 26402, 1109, 272, 692, 1607, 568, 513, 1455, 543, 9583, 3362, 5543, 15344, 21342, 598, 1495, 5300, 2443, 950, 1281, 835, 946, 799, 543, 950, 1281, 835, 946, 602, 286, 4107, 1449, 2389, 5474, 945, 723, 5423, 585, 17918, 10378, 22054, 4856, 14431, 786, 723, 713, 2626, 693, 519, 9133, 540, 741, 10209, 1132, 2443, 1898, 270, 6135, 2774, 633, 543, 1875, 268, 24207, 270, 12061, 3146, 560, 2774, 633, 16083, 269, 1548, 789, 1611, 568, 602, 799, 568, 1031, 547, 1533, 1344, 602, 568, 711, 1898, 1247, 602, 568, 1031, 547, 1533, 1898, 1344, 269, 589, 4443, 1259, 547, 3314, 713, 568, 676, 3168, 693, 519, 6292, 540, 5220, 2630, 281, 476, 272, 269, 1452, 616, 519, 10569, 547, 519, 8772, 1286, 538, 519, 18736, 4737, 267, 799, 568, 3109, 269, 476, 273, 269, 1452, 616, 519, 10569, 547, 519, 8772, 1286, 538, 519, 18736, 4737, 602, 568, 3109, 269, 3245, 519, 1101, 4845, 596, 1131, 1205, 519, 10569, 547, 519, 8772, 1286, 538, 519, 18736, 4737, 282, 519, 4845, 3947, 596, 930, 3606, 1344, 267, 12077, 602, 621, 568, 3109, 538, 7990, 282, 1256, 1510, 713, 1344, 596, 1223, 723, 1634, 799, 1286, 596, 723, 519, 10569, 547, 2443, 519, 8772, 1286, 538, 519, 4737, 780, 1012, 11879, 25705, 1107, 634, 10390, 7726, 1109, 273, 692, 1103, 519, 3105, 11879, 25705, 2022, 649, 5941, 835, 1808, 2186, 540, 7954, 602, 568, 7318, 593, 519, 10390, 7726, 7392, 269, 769, 713, 2022, 649, 786, 1491, 513, 1413, 693, 519, 1152, 824, 1826, 540, 3044, 7954, 7318, 593, 519, 3932, 2055, 269, 1403, 596, 616, 2111, 547, 1174, 4019, 519, 4480, 547, 4194, 891, 1079, 9266, 3889, 267, 1034, 3932, 2055, 1058, 581, 513, 30089, 269, 2913, 721, 1491, 513, 17918, 11879, 25705, 2243, 547, 4983, 713, 2417, 269, 4014, 29469, 814, 1044, 8810, 547, 9004, 9793, 8611, 2404, 609, 930, 10108, 267, 1082, 7189, 1100, 3476, 22991, 4363, 922, 946, 585, 713, 3483, 269, 589, 9793, 8611, 22262, 519, 2534, 540, 519, 1560, 779, 2068, 1922, 18017, 3043, 1973, 2281, 543, 849, 29620, 519, 2208, 540, 1082, 12490, 540, 2068, 27351, 6748, 4551, 780, 1012, 4024, 972, 581, 8097, 2055, 593, 519, 1109, 29479, 2496, 5472, 1272, 568, 606, 4603, 267, 519, 811, 6901, 596, 1118, 519, 1732, 1107, 25453, 9546, 4777, 2506, 3205, 634, 2110, 2626, 547, 713, 2243, 2443, 9811, 269, 3767, 1577, 779, 1205, 547, 519, 1279, 2626, 269, 1306, 649, 723, 5941, 1354, 538, 835, 540, 519, 9998, 9708, 593, 713, 5816, 267, 519, 17918, 568, 606, 13261, 1449, 269, 634, 10829, 543, 7638, 4472, 6810, 786, 1376, 609, 1449, 2389, 5474, 1373, 15054, 513, 2243, 540, 9793, 7411, 543, 786, 8399, 1759, 593, 519, 1449, 2389, 6033, 779, 3210, 547, 602, 2243, 269, 13689, 2390, 2436, 519, 1449, 2389, 6033, 4267, 621, 7157, 610, 27235, 267, 519, 7766, 2243, 786, 581, 4443, 610, 27162, 615, 269, 0, 258, 834, 1103, 19702, 766, 257, 540, 21942, 781, 15616, 1606, 32464, 1449, 692, 288, 2754, 814, 476, 1911, 5520, 267, 476, 2412, 2021, 543, 476, 2568, 2367, 780, 4263, 519, 1439, 540, 519, 1032, 267, 519, 2754, 16976, 547, 2285, 13755, 4926, 547, 476, 736, 1004, 281, 476, 1626, 2367, 543, 476, 275, 2021, 780, 296, 6415, 4280, 547, 1265, 513, 1259, 547, 1449, 519, 4527, 540, 513, 4276, 1063, 519, 4008, 543, 519, 22429, 5316, 1081, 780, 296, 2219, 547, 946, 513, 3044, 21942, 781, 15616, 1606, 32464, 1449, 267, 8754, 2679, 519, 1739, 3349, 1384, 3725, 18727, 22429, 3230, 302, 10983, 2330, 3230, 292, 10983, 16465, 24464, 476, 1626, 476, 1321, 454, 18131, 476, 275, 476, 279, 692, 2330, 302, 10983, 2330, 568, 519, 4767, 4908, 585, 519, 1079, 6688, 543, 3230, 292, 10983, 2330, 568, 519, 4397, 835, 267, 14322, 519, 22429, 5316, 1081, 1281, 711, 4096, 593, 4008, 630, 663, 782, 5520, 723, 2147, 2934, 952, 711, 585, 519, 4008, 6393, 296, 8399, 547, 5173, 519, 6695, 14024, 317, 273, 2330, 7194, 607, 5205, 281, 6695, 14024, 317, 273, 815, 1422, 2765, 18950, 1626, 268, 1321, 8203, 273, 2410, 1321, 348, 1341, 1422, 2765, 18950, 275, 268, 279, 8203, 273, 2410, 279, 348, 815, 476, 274, 26142, 28235, 346, 274, 15732, 4517, 1287, 630, 26238, 6695, 14024, 317, 273, 3709, 263, 271, 267, 4962, 267, 476, 272, 14587, 1422, 13627, 476, 274, 267, 279, 6078, 2330, 264, 594, 666, 9959, 602, 594, 3112, 20549, 519, 14275, 8367, 540, 7115, 1063, 4008, 543, 22429, 5316, 1081, 693, 513, 1377, 540, 4644, 540, 3230, 271, 269, 4962, 2330, 630, 296, 666, 20549, 519, 14275, 8367, 693, 513, 1377, 540, 4644, 540, 3230, 271, 269, 272, 18079, 1498, 6393, 314, 300, 312, 32530, 3582, 6540, 10112, 11167, 782, 594, 1705, 568, 2953, 630, 921, 848, 2995, 803, 952, 621, 781, 711, 256, 1070, 594, 9289, 952, 4152, 585, 519, 7115, 1063, 4008, 543, 10691, 8391, 513, 22429, 1058, 6556, 547, 519, 1482, 3932, 543, 594, 11943, 602, 621, 1590, 798, 865, 256, 630, 2431, 286, 2020, 3383, 267, 594, 3710, 519, 1739, 3349, 585, 519, 1915, 22429, 10691, 4607, 1384, 27237, 4607, 22429, 3230, 302, 10983, 2330, 3230, 292, 10983, 16465, 24464, 476, 4510, 476, 4366, 454, 18131, 476, 3607, 476, 3953, 692, 3086, 267, 12719, 519, 21942, 781, 16584, 1606, 32464, 7194, 689, 713, 594, 1205, 6695, 14024, 317, 273, 284, 271, 269, 279, 315, 28235, 346, 274, 6525, 269, 901, 7194, 6770, 803, 547, 1114, 8753, 689, 519, 3105, 3283, 281, 585, 1383, 267, 1631, 594, 3112, 20549, 519, 14275, 8367, 609, 513, 1377, 540, 4644, 3230, 271, 269, 272, 2330, 2439, 1432, 993, 594, 3257, 4636, 286, 2549, 594, 4152, 585, 1079, 1114, 1919, 1510, 16734, 621, 2496, 1892, 594, 29709, 547, 1533, 519, 3932, 281, 707, 1449, 568, 1713, 855, 711, 3810, 1713, 267, 1373, 707, 533, 7407, 538, 519, 1647, 1063, 476, 276, 260, 543, 476, 272, 260, 4644, 1377, 1862, 2026, 596, 616, 7969, 267, 713, 568, 513, 1434, 11000, 585, 596, 22712, 1716, 617, 773, 3671, 655, 328, 860, 807, 269, 527, 270, 788, 328, 270, 817, 665, 270, 14024, 318, 638, 320, 21867, 2904, 476, 277, 267, 476, 1708, 272, 693, 476, 280, 281, 2004, 454, 1892, 3400, 345, 773, 1360, 1454, 585, 519, 16253, 543, 519, 11000, 2433, 264, 2904, 476, 277, 267, 476, 1708, 272, 693, 476, 280, 281, 6321, 692, 1103, 519, 1101, 1079, 17574, 3349, 630, 339, 629, 7578, 513, 17585, 335, 807, 1303, 337, 1092, 264, 596, 723, 707, 4767, 3892, 269, 769, 519, 2034, 835, 596, 723, 519, 7811, 835, 267, 14322, 7115, 1063, 519, 1079, 3197, 267, 3023, 543, 22429, 282, 538, 519, 3791, 835, 972, 568, 707, 6695, 14024, 317, 273, 2330, 1449, 267, 1141, 519, 2698, 1871, 814, 547, 581, 3379, 609, 519, 2565, 1871, 689, 513, 30967, 330, 268, 272, 9385, 9392, 22607, 268, 272, 6661, 263, 273, 268, 272, 9385, 9392, 263, 273, 268, 272, 6661, 272, 2330, 546, 269, 334, 8807, 269, 16584, 4009, 3892, 454, 1892, 8729, 1360, 1454, 585, 519, 2656, 16253, 256, 594, 7058, 594, 666, 1405, 11214, 9787, 519, 3017, 1063, 713, 2186, 540, 1449, 543, 513, 15616, 1606, 32464, 22556, 6361, 1922, 527, 835, 267, 538, 799, 594, 1152, 5635, 519, 2418, 689, 606, 4767, 3892, 630, 514, 713, 2013, 519, 22429, 5316, 1081, 1063, 2367, 543, 2021, 24047, 609, 519, 4397, 267, 7811, 835, 256, 594, 1611, 267, 705, 6748, 707, 9639, 281, 1946, 798, 594, 723, 547, 946, 1312, 12844, 639, 543, 5689, 639, 3892, 9623, 950, 789, 2811, 5693, 1644, 286, 594, 4397, 602, 6616, 835, 630, 1156, 576, 267, 6236, 835, 538, 12719, 4399, 14024, 317, 273, 259, 264, 729, 834, 523, 965, 257, 2094, 621, 1058, 2270, 782, 519, 1344, 1862, 7717, 787, 585, 1818, 1100, 2631, 257, 2904, 476, 277, 267, 476, 1708, 272, 693, 476, 280, 281, 4649, 0, 258, 20353, 3241, 17951, 601, 692, 2971, 15689, 692, 1892, 31108, 15689, 912, 1892, 25586, 5174, 1716, 537, 25651, 11237, 2110, 7778, 454, 1892, 17786, 7615, 959, 1380, 2110, 7778, 454, 1892, 476, 273, 291, 2609, 692, 1103, 918, 7806, 657, 267, 596, 666, 3442, 1063, 1079, 476, 273, 291, 3693, 2010, 281, 10750, 2566, 543, 10750, 8833, 2609, 780, 303, 6369, 2562, 31031, 8577, 692, 1103, 27795, 11707, 267, 513, 1570, 568, 1767, 547, 581, 896, 7077, 2566, 952, 519, 2566, 6152, 568, 4642, 2066, 513, 1880, 2627, 269, 1879, 602, 3510, 4386, 936, 606, 3003, 3693, 540, 513, 2497, 267, 607, 568, 1419, 519, 2013, 585, 6094, 10824, 267, 519, 2566, 2079, 568, 14320, 16866, 267, 607, 519, 2566, 1533, 666, 581, 6719, 676, 513, 21723, 540, 10155, 476, 273, 630, 10517, 6974, 762, 607, 513, 476, 273, 6398, 476, 273, 5119, 2864, 982, 476, 274, 6398, 476, 274, 1040, 589, 1644, 10206, 267, 7077, 8833, 267, 568, 1419, 10858, 547, 1360, 5394, 2818, 780, 5522, 2033, 2566, 3335, 4386, 538, 6094, 6366, 10824, 602, 616, 19500, 2390, 1152, 676, 4452, 4229, 602, 616, 6252, 547, 873, 269, 769, 1978, 3871, 267, 513, 9900, 17208, 6094, 6676, 949, 849, 581, 10924, 547, 723, 7077, 2566, 585, 519, 3483, 540, 2566, 2079, 269, 901, 568, 519, 2013, 267, 585, 1383, 267, 540, 513, 6094, 2914, 6817, 12718, 4904, 609, 513, 5714, 896, 2604, 269, 769, 971, 2665, 267, 2566, 3334, 13902, 547, 519, 6676, 616, 30050, 3379, 547, 1346, 6252, 547, 621, 780, 1103, 824, 3871, 267, 2705, 267, 519, 19755, 2566, 540, 513, 6094, 6676, 3112, 581, 20495, 269, 2290, 666, 1869, 14458, 519, 2079, 676, 1210, 513, 1079, 8820, 6389, 267, 855, 519, 7077, 2566, 21723, 1142, 1448, 1590, 581, 1264, 7757, 609, 19755, 2474, 780, 12385, 3012, 1227, 267, 519, 2566, 693, 930, 1448, 538, 519, 1570, 568, 513, 7077, 2566, 952, 835, 540, 519, 1614, 9030, 17613, 630, 1492, 27744, 540, 519, 595, 879, 16408, 2566, 21723, 264, 568, 4642, 269, 2334, 568, 267, 972, 568, 31951, 11282, 1062, 538, 799, 519, 2566, 21723, 814, 519, 1106, 692, 7445, 18406, 815, 1422, 8218, 21421, 348, 1422, 18406, 3709, 1556, 348, 1299, 476, 271, 1299, 476, 271, 8607, 476, 271, 1299, 1422, 18406, 3709, 2420, 348, 1299, 476, 271, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 21421, 348, 1422, 25406, 1422, 8218, 21421, 348, 1422, 18406, 3709, 343, 348, 1299, 476, 271, 1299, 476, 271, 8607, 476, 271, 1299, 1422, 18406, 3709, 344, 348, 1299, 476, 271, 8607, 476, 271, 1299, 476, 271, 1299, 476, 271, 1422, 754, 21421, 10592, 5415, 3622, 267, 952, 835, 23297, 519, 1101, 1079, 11282, 17887, 11737, 337, 3320, 855, 13902, 547, 519, 4287, 540, 4642, 2566, 267, 519, 2566, 21723, 786, 723, 519, 1106, 692, 7445, 18406, 815, 1422, 8218, 21421, 348, 1422, 18406, 3709, 1556, 348, 1299, 1422, 18406, 3709, 1321, 348, 1299, 476, 271, 8607, 1422, 18406, 3709, 2641, 348, 1299, 1422 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25557, 7012, 1406, 2312, 693, 782, 269, 898, 729, 711, 2312, 945, 543, 875, 729, 547, 581, 759, 9116, 1194, 267, 2523, 602, 4279, 6628, 1927, 609, 519, 7330, 7479, 12184, 519, 2898, 540, 519, 1158, 2146, 602, 789, 941, 14553, 11287, 1480, 2924, 538, 741, 2477, 269, 1358, 11943, 602, 19268, 25557, 540, 519, 23597, 1131, 2736, 519, 3864, 5274, 7126, 13482, 282, 621, 9327, 1406, 849, 2322, 606, 1439, 547, 519, 2534, 540, 519, 9721, 17044, 8136, 543, 1522, 12517, 24395, 622, 519, 1272, 540, 1346, 23597, 945, 7283, 538, 8832, 8581, 563, 4263, 519, 1482, 942, 267, 950, 519, 3561, 729, 3370, 267, 3703, 11788, 10579, 11977, 1261, 987, 2808, 946, 540, 3196, 1996, 1312, 8832, 8581, 2950, 269, 2201, 5147, 476, 2537, 267, 476, 3192, 273, 646, 729, 5483, 602, 519, 12080, 540, 16470, 2919, 513, 1544, 538, 2013, 952, 519, 3510, 1131, 24395, 622, 563, 2252, 519, 3510, 2968, 1100, 811, 4175, 762, 267, 519, 7952, 1131, 723, 5189, 513, 1533, 540, 6595, 593, 519, 2898, 8513, 540, 8832, 8581, 543, 1131, 5838, 513, 2178, 9514, 1996, 25696, 540, 519, 4713, 267, 693, 602, 267, 1996, 1312, 5011, 267, 519, 23597, 543, 519, 14308, 1218, 563, 2026, 519, 1686, 8761, 267, 1100, 3665, 3871, 7018, 267, 543, 519, 1544, 968, 1721, 1390, 19268, 25557, 892, 7012, 1406, 2322, 883, 1198, 563, 306, 23439, 331, 3570, 20579, 553, 13960, 623, 6938, 309, 6395, 10611, 340, 4279, 6628, 454, 9558, 3836, 676, 12756, 717, 28907, 9366, 454, 5649, 519, 3312, 538, 6739, 281, 5291, 2517, 16447, 4877, 9545, 6767, 269, 745, 11320, 5454, 270, 1220, 274, 270, 276, 270, 1691, 270, 3607, 270, 276, 1556, 276, 6831, 520, 565, 5942, 11258, 454, 305, 17892, 267, 950, 19142, 6054, 585, 519, 9042, 540, 14522, 547, 519, 2136, 2276, 267, 729, 16734, 1200, 6662, 4324, 454, 21607, 514, 781, 4013, 22557, 2006, 667, 2466, 787, 623, 525, 28325, 29499, 593, 24616, 538, 519, 2475, 2923, 827, 14286, 538, 22745, 6046, 32728, 762, 28862, 538, 6576, 0, 288, 20624, 1058, 9772, 6046, 1379, 607, 922, 1292, 2707, 540, 1379, 454, 25387, 267, 606, 2810, 1297, 540, 2477, 723, 2919, 6046, 1379, 543, 7550, 6046, 1379, 607, 741, 1292, 2707, 540, 1379, 269, 1717, 267, 711, 782, 2477, 1489, 519, 1646, 540, 6046, 1379, 269, 589, 1390, 4308, 540, 7264, 4145, 799, 723, 25626, 2066, 1454, 540, 519, 2919, 1158, 729, 3361, 676, 519, 3395, 6046, 2872, 18246, 630, 293, 1779, 2073, 16675, 1299, 631, 3291, 476, 1220, 277, 1040, 1103, 5245, 267, 6046, 1379, 568, 711, 1031, 1813, 547, 519, 19048, 827, 3106, 543, 5533, 267, 855, 930, 4966, 1448, 856, 602, 519, 8226, 827, 6046, 1379, 1058, 1689, 267, 1317, 621, 568, 2009, 602, 519, 946, 540, 5201, 538, 5245, 786, 5595, 1282, 519, 1974, 689, 476, 14225, 271, 547, 476, 13078, 271, 3448, 547, 1018, 621, 568, 2221, 630, 18933, 527, 330, 22603, 476, 1220, 278, 1040, 302, 11017, 687, 593, 2436, 5245, 1058, 9772, 6046, 1379, 607, 1292, 2707, 540, 1379, 616, 5258, 269, 634, 15784, 814, 1831, 811, 12699, 1739, 519, 3395, 4145, 602, 2757, 1648, 568, 4881, 856, 269, 589, 5354, 540, 2043, 4043, 547, 31274, 602, 5245, 1058, 711, 1020, 6046, 1379, 269, 1717, 267, 713, 1557, 786, 1865, 602, 5245, 1058, 9772, 6046, 1379, 585, 1896, 4128, 281, 519, 6151, 2326, 540, 6046, 1379, 267, 20879, 267, 568, 10731, 538, 5245, 267, 543, 547, 513, 1804, 6708, 267, 6046, 1379, 568, 811, 13476, 7888, 543, 621, 666, 3142, 513, 2603, 540, 2804, 2640, 585, 5245, 267, 2417, 3467, 267, 519, 3106, 4145, 616, 1373, 9619, 811, 3927, 936, 942, 563, 20058, 267, 2757, 2959, 786, 2196, 856, 1282, 513, 5266, 2110, 1974, 1247, 519, 6151, 2326, 540, 6046, 1379, 267, 20879, 267, 568, 10731, 538, 5245, 269, 634, 2757, 4199, 602, 5245, 1419, 946, 5631, 5161, 540, 5755, 267, 2067, 3154, 267, 3282, 543, 8652, 267, 3379, 609, 6046, 1379, 267, 1034, 540, 873, 616, 1875, 516, 2908, 762, 2200, 1547, 2690, 1383, 267, 1412, 288, 26894, 2557, 540, 2208, 540, 2067, 3154, 2504, 729, 476, 274, 260, 829, 1032, 936, 519, 2063, 2947, 1296, 269, 2755, 938, 1699, 2557, 540, 3154, 6165, 568, 971, 602, 649, 723, 476, 6858, 1296, 3761, 267, 952, 713, 2208, 2557, 4679, 607, 4397, 607, 649, 2483, 8923, 6443, 5530, 300, 1712, 547, 1224, 519, 2407, 3561, 0, 17345, 3009, 281, 476, 5197, 8064, 454, 19613, 281, 4563, 9412, 5600, 454, 21196, 270, 5503, 281, 13628, 476, 273, 10975, 268, 275, 10975, 28315, 454, 9359, 338, 281, 476, 279, 4924, 661, 2738, 281, 476, 3066, 8734, 454, 1607, 568, 513, 1413, 693, 519, 2101, 7242, 3098, 540, 519, 7262, 1158, 269, 1284, 786, 1413, 693, 875, 649, 1224, 543, 1174, 13299, 267, 3226, 3168, 693, 513, 5626, 1620, 540, 13299, 543, 519, 4128, 519, 1482, 14868, 616, 7368, 782, 936, 519, 1158, 269, 6181, 1742, 616, 519, 14868, 602, 616, 1759, 593, 1480, 6547, 547, 519, 1158, 543, 519, 991, 585, 30768, 547, 1711, 519, 17691, 269, 634, 1576, 6227, 5259, 267, 22469, 267, 25245, 267, 20770, 1014, 14868, 543, 1082, 1866, 269, 901, 1576, 2882, 519, 15456, 543, 3140, 2963, 540, 875, 543, 1946, 519, 14868, 2291, 269, 1924, 1082, 4773, 540, 1148, 543, 3332, 4704, 13299, 543, 713, 1576, 786, 948, 596, 1174, 519, 10096, 543, 6698, 538, 938, 2729, 563, 306, 826, 814, 1044, 513, 20131, 693, 519, 2160, 540, 24368, 538, 8241, 6554, 267, 15348, 543, 5398, 10029, 543, 513, 20131, 538, 5753, 779, 9085, 543, 12140, 20157, 12579, 1222, 630, 3849, 11253, 728, 1040, 2701, 814, 1044, 513, 7172, 4115, 693, 519, 2160, 540, 24368, 267, 1857, 8021, 538, 24332, 267, 1520, 11253, 728, 543, 595, 1515, 985, 269, 2701, 814, 5280, 3715, 513, 6468, 779, 7991, 2657, 10418, 630, 3849, 11253, 728, 264, 543, 513, 681, 1901, 19822, 10418, 630, 290, 1515, 985, 264, 543, 814, 513, 13730, 1719, 538, 1686, 543, 2528, 269, 590, 826, 814, 849, 6170, 4557, 1296, 607, 513, 635, 539, 1014, 543, 5152, 23116, 563, 8310, 8242, 476, 1789, 5239, 476, 1001, 278 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 27965, 16142, 1118, 513, 2097, 3724, 538, 3703, 7297, 454, 307, 11698, 476, 2190, 5147, 476, 1001, 273, 454, 289, 27965, 16142, 267, 519, 1158, 781, 2034, 4102, 3165, 267, 616, 2219, 547, 581, 20387, 513, 6051, 538, 5177, 7297, 1739, 519, 1439, 540, 5010, 10122, 563, 306, 697, 902, 723, 711, 1152, 2799, 936, 519, 2250, 476, 736, 1296, 855, 519, 2450, 540, 519, 1367, 16142, 2938, 814, 849, 6738, 267, 513, 5929, 1129, 540, 2551, 6051, 269, 2859, 982, 476, 10037, 267, 1822, 1666, 6362, 16142, 941, 9575, 538, 519, 3345, 3887, 770, 9533, 689, 476, 4198, 273, 547, 476, 1220, 275, 855, 789, 616, 1631, 4922, 6870, 563, 7021, 519, 2250, 476, 736, 1296, 519, 1857, 814, 4080, 7487, 811, 5420, 13355, 16142, 267, 1247, 3173, 593, 16356, 1606, 13607, 1154, 16996, 6592, 811, 1804, 16142, 269, 5811, 540, 519, 4832, 8289, 902, 729, 4330, 607, 834, 1492, 1034, 3102, 2479, 257, 543, 729, 5645, 856, 676, 519, 2160, 540, 1401, 2678, 267, 519, 13149, 11094, 5980, 267, 519, 12397, 13665, 13812, 11565, 543, 23027, 11059, 269, 634, 2164, 616, 3370, 538, 519, 4760, 13149, 17905, 18776, 10022, 563, 257, 5978, 1382, 2982, 602, 1666, 6362, 16142, 1223, 581, 23232, 689, 519, 3573, 10122, 538, 519, 476, 736, 628, 2540, 2437, 1767, 7905, 6601, 526, 534, 2696, 2917, 540, 519, 2160, 540, 1401, 2678, 563, 4692, 4141, 1235, 543, 17774, 619, 941, 1376, 1194, 676, 513, 16356, 1175, 18126, 1055, 519, 11824, 538, 717, 30591, 9366, 267, 2282, 8092, 781, 7736, 538, 12397, 13665, 593, 10732, 269, 1717, 267, 789, 3533, 1483, 2213, 519, 476, 278, 25451, 16356, 729, 513, 1666, 6362, 16356, 267, 865, 12691, 547, 2800, 3425, 563, 2026, 5292, 3279, 790, 2899, 1767, 267, 968, 296, 576, 8645, 568, 27610, 269, 1548, 513, 533, 640, 621, 3884, 1406, 10363, 7536, 1001, 275, 568, 3636, 652, 1032, 2094, 5638, 3459, 910, 543, 3791, 6632, 11687, 454, 291, 20462, 1231, 2048, 23437, 9200, 2299, 1205, 1164, 685, 593, 25858, 518, 3165, 8229, 13802, 676, 5402, 21400, 543, 8429, 873, 1472, 454, 763, 18173, 1198, 281, 2916, 1689, 2048, 1721, 1027, 2249, 547, 3082, 20371, 763, 4557, 1655, 15203, 17960, 454, 306, 852, 17517, 616, 1631, 1175, 513, 3364, 540, 519, 2250, 454, 268, 476, 272, 12624, 10480, 1200, 8250, 11746, 19095, 547, 1118, 1200, 2960, 5500, 585, 5898, 2985, 656, 454, 268, 476, 273, 9400, 29861, 9469, 593, 9002, 609, 13560, 15540, 281, 1412, 6781, 677, 621, 543, 2119, 1586, 1107, 621, 1131, 581, 1799, 7394, 547, 3142, 621, 883, 519, 1158, 7055, 268, 476, 274, 32423, 20066, 1985, 9614, 5767, 281, 20066, 2015, 1325, 569, 5062, 10870, 626, 910, 12327, 12710, 4785, 25893, 454, 268, 476, 275, 9338, 306, 4672, 19943, 4161, 1071, 1922, 10133, 11759, 344, 26186, 514, 546, 992, 985, 267, 9907, 476, 2767, 454, 268, 476, 276, 7033, 15593, 6229, 6241, 281, 1412, 2005, 3323, 607, 513, 1614, 268, 1817, 572, 5198, 855, 5828, 883, 519, 9835, 2817, 7055, 32178, 29861, 9469, 593, 9002, 609, 13560, 15540, 281, 1412, 6781, 677, 621, 543, 2119, 1586, 1107, 621, 1131, 581, 1799, 7394, 547, 3142, 621, 883, 519, 1158, 7055, 9928, 2714, 880, 7115, 281, 2296, 1004, 11566, 569, 1616, 10430, 547, 3251, 538, 519, 5177, 454, 3674, 529, 3463, 281, 23759, 517, 6499, 606, 19710, 609, 9459, 454, 28061, 9466, 15246, 281, 24755, 657, 11199, 14186, 593, 519, 10754, 540, 674, 31867, 517, 1310, 1313, 641, 1910, 2982, 21717, 729, 8929, 3670, 2053, 1107, 7466, 538, 519, 2212, 454, 289, 514, 9126, 2407, 540, 7314, 262, 9843, 4362, 2282, 25480, 781, 4354, 787, 631, 850, 454, 11514, 326, 755, 532, 267, 24858, 267, 855, 10578, 281, 875, 519, 2197, 2731, 7959, 827, 922, 14761, 454, 28462, 1220, 876, 910, 11278, 17734, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 6796, 30325, 8890, 560, 268, 630, 5327, 330, 9008, 2672, 2483, 28462, 7742, 876, 910, 11278, 12573, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 6796, 30325, 8890, 560, 910, 630, 30874, 4144, 2483, 28462, 4968, 876, 910, 11278, 4335, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 28133, 10829, 8890, 560, 910, 595, 10030, 267, 30205, 2483, 28462, 4968, 876, 910, 11278, 4335, 876, 829, 3045, 636, 281, 14250, 15838, 853, 1551, 281, 28133, 10829, 8890, 560, 630, 300, 22389, 2274, 320, 1862, 0, 1015, 8946, 5058, 306, 594, 914, 596, 2760, 6785, 910, 4864, 476, 2764, 454, 2177, 22847, 294, 19851, 476, 2918, 267, 519, 1158, 9976, 519, 14512, 540, 19493, 543, 10828, 267, 12624, 1855, 25564, 269, 769, 22632, 540, 971, 7908, 8481, 267, 649, 786, 1413, 693, 513, 1906, 5013, 4478, 1200, 1272, 543, 960, 563, 272, 269, 2701, 729, 4535, 3397, 5886, 22167, 343, 3873, 4425, 329, 1314, 6062, 340, 538, 476, 4489, 271, 538, 24640, 807, 267, 547, 513, 20019, 6899, 1920, 269, 1358, 5030, 538, 835, 540, 519, 1079, 8075, 789, 11262, 269, 4173, 4651, 5747, 950, 1352, 729, 5216, 1296, 2025, 267, 799, 8694, 1200, 1920, 781, 2883, 3354, 563, 273, 269, 3397, 5886, 729, 19832, 609, 28773, 689, 606, 2038, 2085, 267, 543, 1352, 6785, 676, 2085, 476, 1321, 602, 1352, 1131, 3479, 9887, 547, 513, 3909, 4938, 566, 563, 274, 269, 2991, 513, 1032, 1565, 2296, 538, 8581, 267, 3397, 5886, 11843, 547, 519, 590, 8651, 540, 22784, 1729, 5572, 538, 11023, 16660, 9934, 267, 3127, 563, 275, 269, 2701, 3576, 1200, 642, 3298, 607, 513, 562, 684, 538, 476, 4350, 272, 267, 543, 602, 781, 950, 1352, 8359, 519, 2012, 1855, 25564, 2443, 547, 22632, 29513, 1703, 572, 540, 28988, 773, 5060, 543, 1855, 25564, 540, 2997, 10042, 563, 276, 269, 1855, 25564, 3459, 3450, 1686, 543, 11585, 538, 2836, 12827, 3279, 693, 853, 6307, 781, 267, 513, 1164, 1153, 585, 519, 20766, 540, 519, 14547, 269, 2701, 7283, 972, 585, 476, 1428, 1296, 543, 10150, 519, 960, 267, 855, 729, 1253, 5962, 676, 519, 6710, 1352, 4718, 782, 1472, 1200, 563, 277, 269, 769, 476, 3707, 277, 267, 1855, 25564, 24964, 547, 11023, 16660, 9934, 585, 513, 18956, 269, 898, 729, 593, 602, 3460, 602, 1352, 1483, 2213, 1018, 1200, 3020, 10912, 729, 281, 834, 296, 4862, 519, 1289, 547, 2285, 909, 782, 543, 1246, 2441, 883, 519, 1793, 4548, 547, 4196, 1864, 1851, 519, 30529, 540, 519, 4057, 8487, 278, 269, 898, 3576, 1079, 1296, 540, 7041, 1354, 1352, 729, 2111, 547, 2253, 3257, 519, 960, 1352, 5433, 25997, 547, 798, 269, 2701, 2877, 547, 4309, 10479, 689, 519, 590, 8651, 540, 22784, 1729, 547, 4734, 519, 1931, 2443, 1247, 20808, 1200, 642, 3298, 2443, 607, 1134, 607, 10479, 689, 519, 5246, 29989, 540, 2836, 12827, 3279, 547, 2661, 543, 960, 1851, 519, 4057, 269, 2701, 849, 5423, 676, 2921, 513, 8808, 1576, 563, 279, 269, 769, 476, 3707, 279, 267, 1855, 25564, 1305, 11735, 1200, 562, 684, 781, 4356, 2443, 12561, 3079, 519, 2241, 521, 926, 543, 5070, 1023, 12816, 676, 519, 2021, 1851, 7247, 1352, 1131, 581, 2713, 2443, 543, 6410, 547, 513, 1507, 10519, 539, 11876, 767, 538, 519, 1793, 4548, 547, 2253, 1200, 960, 563, 280, 269, 2290, 540, 1200, 1101, 3785, 729, 547, 4001, 519, 1453, 540, 519, 4057, 2443, 5373, 593, 1200, 1995, 609, 3450, 519, 1453, 540, 519, 3638, 269, 2701, 4769, 1405, 723, 1022, 3937, 610, 7727, 713, 942, 267, 855, 1352, 6026, 873, 547, 1224, 543, 2328, 676, 1603, 538, 519, 13897, 609, 16853, 563, 1015, 269, 12624, 1855, 25564, 729, 4378, 10696, 609, 1082, 17758, 2429, 1200, 1272, 267, 689, 519, 4095, 22087, 2742, 1744, 686, 538, 476, 3422, 273, 547, 519, 22305, 1116, 15352, 3627, 30619, 7656, 13458, 15356, 538, 476, 3192, 272, 547, 24640, 807, 781, 13642, 12968, 712, 540, 519, 13780, 538, 476, 1960, 275, 543, 267, 1034, 28020, 267, 519, 17587, 13458, 15356, 538, 476, 3192, 280, 269, 1717, 267, 1352, 15189, 519, 30060, 7333, 21103, 2016, 547, 31444, 919, 267, 543, 4280, 602, 519, 16101, 540, 2475, 259, 4572, 267, 1822, 581, 2016, 547, 948, 519, 4057, 540, 3127, 269, 0, 30238, 645, 756, 1258, 781, 1677, 611, 2280, 12267, 454, 288, 14262, 1007, 1353, 883, 519, 20282, 543, 21224, 2853, 540, 513, 1455, 8241, 13855, 814, 1336, 789, 7649, 909, 547, 5216, 9038, 18615, 569, 834, 2108, 519, 5207, 6592, 540, 1022, 9451, 24260, 269, 3220, 22361, 760, 1635, 337, 928, 267, 689, 3933, 1662, 2160, 781, 3427, 540, 18143, 7070, 267, 814, 21503, 519, 13855, 2249, 645, 756, 1258, 781, 547, 611, 2280, 630, 303, 12065, 2684, 787, 928, 536, 756, 1258, 4512, 264, 585, 3670, 1296, 543, 538, 713, 5767, 2361, 7552, 267, 4362, 513, 1007, 2623, 32373, 539, 538, 513, 13855, 2249, 2394, 1631, 269, 834, 5978, 1353, 7000, 602, 8951, 1500, 519, 2483, 268, 634, 25213, 540, 6414, 1836, 1128, 580, 908, 4031, 7057, 267, 3335, 2666, 1652, 3283, 563, 268, 1323, 796, 32016, 21556, 540, 10279, 593, 519, 851, 540, 513, 6928, 781, 4487, 610, 12284, 4611, 538, 5945, 547, 519, 6928, 781, 8227, 563, 268, 22312, 610, 6718, 540, 7158, 538, 5939, 610, 1533, 269, 0, 300, 1410, 4815, 9060, 8966, 25069, 322, 19746, 454, 300, 1410, 4618, 24085, 2161, 789, 723, 1336, 606, 13778, 1480, 19746, 538, 799, 519, 22403, 540, 513, 1762, 4807, 568, 11303, 676, 25985, 540, 476, 272, 267, 4281, 280, 1480, 7633, 538, 6792, 4975, 781, 16574, 334, 26302, 563, 12867, 1336, 519, 19746, 827, 2947, 7397, 630, 1428, 3952, 264, 2630, 519, 2627, 267, 1985, 547, 519, 3788, 540, 1018, 949, 723, 1044, 513, 834, 338, 659, 1042, 3529, 257, 693, 835, 6316, 540, 519, 726, 18054, 267, 519, 1034, 10723, 3135, 540, 519, 25069, 322, 3854, 563, 763, 2817, 4659, 540, 28668, 543, 3778, 1767, 519, 1265, 729, 519, 1101, 540, 922, 2186, 267, 15663, 519, 25069, 14369, 941, 711, 1634, 547, 946, 2527, 15093, 610, 519, 6450, 584, 658, 540, 7633, 607, 519, 22232, 2081, 547, 13173, 519, 954, 618, 540, 513, 4759, 540, 519, 15194, 1362, 19601, 1260, 906, 13324, 676, 2598, 638, 338, 454, 268, 9400, 8633, 26419, 589, 974, 543, 3220, 1678, 6145, 513, 3751, 454, 268, 7316, 779, 519, 835, 1747, 538, 519, 1158, 1141, 18864, 779, 3190, 539, 609, 13431, 4083, 882, 923, 888, 268, 31981, 540, 519, 22735, 7732, 454, 268, 5617, 334, 527, 5441, 568, 856, 609, 922, 5993, 1592, 540, 1018, 4195, 2006, 917, 3267, 570, 4176, 7033, 286, 14161, 590, 12298, 286, 1280, 1326, 827, 621, 563, 268, 3127, 645, 753, 1473, 4275, 19413, 2667, 817, 1588, 17912, 454, 268, 589, 7986, 14787, 540, 2257, 10523, 543, 1100, 835, 3217, 5469, 454, 268, 589, 605, 6953, 24252, 19382, 19674, 1851, 12206, 267, 5360, 1622, 11518, 9445, 4173, 325, 454, 268, 25839, 626, 6307, 2142, 731, 9976, 676, 519, 1715, 3840, 518, 607, 968, 763, 570, 2651, 6215, 9707, 7536, 268, 594, 17427, 623, 1952, 2946, 26916, 538, 9459, 607, 513, 834, 335, 668, 5799, 4550, 19053, 542, 626, 18303, 14787, 543, 7214, 4840, 268, 898, 781, 2182, 547, 581, 606, 5688, 626, 2221, 267, 855, 20844, 23045, 568, 0, 763, 2048, 5591, 6936, 29703, 2006, 685, 12096, 2329, 912, 763, 3143, 6936, 29703, 2006, 2887, 2329, 568, 513, 1259, 540, 5368, 614, 31147, 2963, 538, 1931, 547, 2061, 519, 1201, 16615, 540, 835, 779, 2990, 269, 1160, 12723, 4831, 7721, 3263, 547, 513, 3069, 616, 25323, 607, 13061, 9003, 1317, 789, 616, 4831, 7721, 3263, 267, 855, 1625, 19959, 569, 1317, 789, 616, 711, 1018, 519, 3069, 568, 827, 563, 763, 3143, 6936, 29703, 2006, 2887, 2329, 3322, 10958, 532, 2963, 602, 1131, 1201, 1393, 513, 20790, 267, 25759, 602, 621, 18387, 1406, 1044, 535, 1023, 1881, 950, 538, 1249, 621, 814, 563, 2252, 4911, 639, 267, 513, 26909, 19886, 267, 945, 12662, 4006, 593, 1010, 11188, 16466, 267, 568, 6069, 607, 513, 4831, 7721, 2217, 547, 519, 3409, 968, 5591, 29703, 2006, 12662, 4006, 593, 1010, 11188, 16466, 5608, 519, 2048, 5591, 6936, 29703, 2006, 685, 2887, 2329, 1131, 2196, 607, 5205, 912, 263, 272, 264, 4911, 639, 12662, 4006, 593, 1010, 11188, 16466, 563, 263, 273, 264, 3143, 630, 25152, 264, 29703, 2006, 12662, 4006, 593, 1010, 11188, 16466, 563, 263, 274, 264, 4911, 639, 568, 711, 513, 630, 25152, 264, 29703, 2006, 563, 263, 275, 264, 4911, 639, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1004, 666, 798, 1434, 538, 519, 1158, 269, 5994, 952, 649, 1223, 946, 2257, 543, 2601, 547, 4137, 856, 1018, 3527, 786, 948, 1866, 519, 1034, 256, 2334, 781, 4010, 1018, 2500, 5621, 745, 1235, 2119, 547, 798, 269, 1358, 1616, 547, 1265, 519, 1655, 2081, 547, 2087, 519, 2729, 540, 1004, 267, 2831, 267, 543, 519, 1604, 1210, 2963, 543, 6297, 2079, 269, 1809, 899, 1022, 2856, 610, 1895, 267, 972, 1522, 581, 2591, 2059, 519, 1259, 269, 4653, 267, 1577, 781, 4685, 883, 1620, 2500, 5621, 745, 1143, 543, 2263, 922, 22705, 543, 17498, 780, 4089, 476, 272, 281, 1548, 568, 13229, 16816, 745, 1143, 888, 5331, 707, 3659, 6499, 547, 6318, 2724, 585, 17493, 269, 1703, 616, 865, 1082, 3906, 789, 1223, 1489, 31539, 2679, 3506, 538, 824, 2477, 547, 9494, 13155, 2249, 269, 1215, 1131, 789, 6430, 799, 2014, 547, 1394, 286, 901, 568, 1141, 2500, 5621, 745, 1143, 2501, 538, 269, 4658, 945, 2259, 2500, 5621, 745, 1143, 1413, 5702, 693, 1114, 1347, 885, 543, 3123, 547, 1294, 799, 3283, 786, 5963, 1118, 519, 7887, 1764, 609, 741, 21856, 9489, 780, 7078, 281, 14597, 1079, 2828, 267, 23183, 543, 16092, 267, 1142, 723, 1269, 2004, 547, 2285, 547, 17493, 269, 2991, 15388, 267, 789, 1451, 602, 4758, 2724, 547, 1683, 18151, 24437, 17990, 7466, 607, 1082, 2729, 3379, 547, 7616, 3662, 24181, 269, 4634, 1498, 1312, 3123, 616, 1271, 267, 23183, 543, 16092, 3442, 547, 4444, 18151, 24437, 1317, 789, 917, 741, 10516, 786, 1711, 513, 8273, 2318, 1689, 780, 4089, 476, 273, 281, 12694, 543, 31700, 454, 12024, 1169, 1390, 2856, 267, 972, 949, 581, 9465, 547, 7753, 950, 8026, 2500, 5621, 745, 1143, 269, 6884, 267, 1256, 1134, 268, 26074, 5322, 3068, 7965, 602, 991, 6061, 269, 2913, 781, 1491, 513, 32708, 693, 1614, 1455, 4145, 1369, 519, 2500, 5621, 745, 1143, 2146, 780, 320, 264, 10312, 593, 22905, 4093, 281, 2368, 5855, 602, 2500, 5621, 745, 1143, 12662, 1932, 1454, 8561, 593, 2164, 602, 616, 2653, 547, 2268, 269, 1280, 1383, 267, 10203, 519, 1297, 540, 2835, 2016, 547, 3214, 3079, 540, 6236, 2188, 899, 1279, 3856, 3872, 1967, 269, 1879, 14045, 875, 547, 948, 267, 649, 1590, 3314, 602, 711, 782, 3407, 1919, 616, 2241, 547, 1293, 780, 321, 264, 26875, 1944, 1978, 3123, 281, 31379, 8044, 602, 2519, 593, 1808, 2152, 1522, 1291, 547, 10714, 532, 1866, 1175, 607, 2629, 269, 1403, 3025, 7028, 2442, 3123, 267, 1447, 6752, 762, 2943, 8449, 4105, 6927, 949, 4309, 7864, 2200, 269, 21344, 7839, 5351, 8957, 6098, 6351, 568, 1898, 780, 322, 264, 16508, 4296, 5288, 269, 4411, 9273, 281, 29179, 547, 1346, 2673, 547, 938, 12271, 7959, 2067, 282, 2705, 267, 2500, 5621, 745, 1143, 7512, 5885, 21046, 1759, 593, 1239, 269, 22367, 6362, 519, 1318, 3666, 1063, 3929, 3664, 543, 6662, 20241, 666, 3006, 581, 4101, 780, 6962, 912, 19931, 5621, 745, 1143, 3091, 513, 2189, 5133, 593, 4543, 1866, 269, 1635, 9256, 6568, 267, 3621, 7744, 267, 543, 10763, 1983, 267, 2043, 11441, 547, 11694, 741, 2318, 5222, 593, 519, 1158, 269, 2755, 2591, 2291, 267, 7234, 891, 23665, 16175, 2636, 519, 2146, 547, 1332, 6793, 543, 5923, 518, 269, 1306, 2104, 3401, 267, 1565, 827, 971, 1950, 5322, 2337, 16491, 721, 547, 6330, 2147, 3871, 538, 938, 1378, 2950, 543, 3564, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 779, 1044, 513, 11315, 1906, 3275, 267, 18387, 1406, 621, 888, 13146, 2621, 267, 1519, 519, 674, 307, 311, 12900, 543, 519, 645, 739, 668, 4757, 270, 777, 1108, 29317, 267, 723, 3366, 513, 2450, 762, 6712, 540, 661, 2026, 547, 1831, 771, 650, 4288, 539, 609, 610, 693, 2547, 1454, 811, 2565, 540, 519, 13229, 16816, 745, 1143, 3350, 563, 4407, 519, 1699, 16839, 723, 1500, 930, 540, 938, 3350, 779, 2042, 811, 7298, 543, 8650, 267, 1082, 661, 2026, 723, 1831, 5051, 14126, 827, 519, 4287, 540, 661, 288, 936, 519, 2063, 1906, 1296, 269, 1284, 616, 930, 540, 873, 563, 1607, 3561, 729, 2854, 29050, 267, 609, 7418, 689, 9625, 1015, 661, 2026, 538, 2698, 269, 3962, 540, 721, 8452, 693, 1034, 540, 519, 31886, 2630, 10446, 1354, 1483, 2358, 998, 6643, 602, 649, 941, 711, 968, 1492, 1152, 835, 6100, 769, 1249, 267, 1082, 661, 2026, 2219, 13974, 547, 721, 267, 610, 693, 2547, 941, 1360, 3362, 18617, 2899, 4555, 941, 630, 1440, 643, 2299, 264, 3838, 563, 5278, 540, 721, 3323, 547, 1831, 7255, 607, 2038, 607, 476, 1001, 278, 267, 855, 519, 5717, 602, 15427, 519, 5137, 540, 713, 2022, 5949, 538, 519, 4832, 540, 476, 1708, 273, 269, 4107, 540, 713, 2022, 729, 2854, 676, 519, 942, 540, 519, 674, 307, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 1012, 5463, 528, 2209, 543, 4578, 19087, 538, 5124, 692, 1103, 713, 3184, 267, 649, 786, 2263, 519, 946, 540, 7718, 2209, 543, 1239, 5108, 538, 5124, 267, 2519, 593, 741, 3498, 538, 513, 3684, 1565, 2796, 269, 5463, 528, 2209, 616, 513, 3532, 1907, 538, 5124, 602, 1450, 721, 547, 12189, 519, 2623, 540, 513, 1599, 610, 1362, 1510, 4657, 922, 2707, 3009, 269, 4578, 5108, 568, 513, 2629, 1900, 538, 3684, 1565, 267, 1141, 649, 991, 547, 1711, 543, 13861, 14449, 585, 2866, 543, 4152, 3631, 780, 2162, 5463, 528, 2209, 538, 5124, 692, 13356, 528, 2209, 538, 5124, 616, 20922, 676, 519, 2387, 287, 319, 3090, 4553, 676, 519, 7718, 1807, 1599, 2012, 269, 1358, 616, 9247, 2362, 19195, 3252, 602, 1491, 513, 1599, 607, 606, 4661, 543, 8831, 519, 2623, 540, 519, 1599, 1510, 12799, 22212, 621, 780, 4131, 781, 1376, 609, 513, 2241, 1383, 1384, 3499, 7090, 454, 3698, 1250, 318, 1372, 14585, 1807, 6600, 15635, 2187, 825, 1219, 12109, 3899, 10031, 1038, 1820, 2891, 306, 15036, 568, 8345, 1354, 519, 1599, 568, 1572, 23528, 1038, 30775, 4590, 1038, 1820, 2891, 306, 15036, 568, 8345, 1310, 519, 1599, 568, 1572, 23528, 825, 2132, 12109, 3899, 692, 287, 3240, 318, 1372, 14585, 1807, 454, 3698, 2161, 318, 31435, 10031, 825, 1820, 2891, 15916, 10590, 2020, 25669, 318, 31435, 4590, 7884, 1103, 713, 1383, 267, 2387, 3240, 318, 1372, 14585, 1807, 319, 568, 513, 7718, 1807, 602, 3217, 513, 1599, 607, 606, 4661, 543, 7024, 513, 1007, 1599, 267, 2387, 342, 571, 3899, 18269, 634, 2387, 342, 571, 3899, 319, 1599, 7125, 519, 3312, 1599, 543, 8591, 930, 3063, 10342, 1354, 543, 1310, 519, 1599, 1289, 269, 634, 2387, 287, 3240, 318, 1372, 14585, 1807, 319, 16105, 568, 513, 695, 2180, 663, 585, 2387, 25669, 318, 31435, 815, 1250, 318, 1372, 14585, 1807, 4433, 599, 318, 31435, 23375, 780, 2162, 4578, 19087, 538, 10724, 4804, 692, 10574, 5108, 568, 513, 2565, 1900, 538, 3684, 1565, 267, 1141, 649, 991, 547, 1711, 543, 13861, 14449, 585, 2866, 543, 4152, 3631, 269, 769, 713, 3296, 267, 649, 786, 2263, 875, 547, 946, 7718, 2209, 547, 5352, 1239, 538, 513, 3684, 1565, 2796, 780, 4131, 781, 2015, 513, 2241, 1383, 1141, 649, 723, 513, 10471, 6740, 538, 606, 670, 5263, 276, 3758, 267, 543, 649, 1616, 547, 5352, 513, 1007, 10471, 676, 12270, 1079, 9587, 540, 519, 3312, 10471, 269, 1284, 666, 946, 519, 2387, 327, 276, 6853, 319, 5399, 547, 1224, 543, 2328, 670, 5263, 276, 6119, 267, 543, 519, 2387, 15884, 318, 2102, 4733, 319, 7718, 1807, 547, 5352, 519, 1007, 10471, 780, 763, 2387, 15884, 318, 2102, 4733, 319, 7718, 1807, 3217, 1614, 7440, 281, 519, 3758, 3898, 540, 519, 6383, 10471, 630, 324, 3052, 1421, 1412, 327, 276, 6853, 262, 585, 670, 5263, 276, 6119, 1070, 513, 2834, 4082, 4806, 585, 519, 2012, 540, 519, 6383, 10471, 267, 543, 519, 7154, 18011, 821, 262, 585, 10451, 513, 2582, 10471, 267, 1412, 28236, 262, 585, 10451, 2789, 14449, 6393, 2080, 781, 606, 1383, 540, 1210, 519, 2387, 15884, 318, 2102, 4733, 319, 7718, 1807, 547, 5352, 513, 1007, 10471, 1384, 3499, 7090, 454, 5814, 554, 276, 6853, 454, 5814, 11885, 607, 5286, 454, 5228, 786, 318, 2102, 4733, 1104, 786, 318, 2102, 4733, 692, 5035, 3733, 10574, 17653, 1807, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 554, 4206, 276, 18316, 2187, 1038, 1582, 21606, 815, 554, 276, 6853, 12171, 850, 22607, 4206, 276, 18316, 267, 1412, 337, 17210, 825, 7711, 15884, 318, 2102, 4733, 3488, 327, 276, 6853, 3299, 678, 21948, 286, 303, 283, 323, 1204, 754, 285, 315, 342, 266, 264, 318, 323, 22866, 318, 2421, 318, 263, 286, 303, 283, 15965, 529, 528, 285, 315, 342, 266, 264, 3299, 7154, 8782, 821, 5073, 825, 1219, 1024, 5091, 22866, 318, 2421, 4311, 267, 786, 318, 2102, 4733, 318, 4486, 267, 1239, 267, 556, 318, 16911, 2187, 1038, 6498, 318, 14310, 815, 1239, 9131, 346, 323, 1204, 754, 348, 262, 4940, 7407, 1315, 1239, 9131, 346, 15965, 529, 528, 348, 262, 4940, 7407, 454, 1038, 2132, 6498, 318, 14310, 454, 7884, 1103, 713, 1383, 267, 649, 5581, 513, 2387, 7069, 10574, 17653, 1807, 319, 1362, 602, 3217, 606, 670, 5263, 276, 3758, 607, 3403, 543, 8637, 621, 538, 519, 2387, 11907, 319, 14487, 269, 634, 2387, 2102, 5091, 22866, 318, 2421, 319, 1505, 568, 21243, 609, 519, 2387, 15884, 318, 2102, 4733, 319, 7718, 1807, 267, 799, 12958, 513, 1007, 10471, 676, 12270, 1079, 9587, 540, 519, 3312, 10471, 269, 634, 2012, 540, 519, 6383, 10471, 568, 5462, 676, 519, 2834, 4082, 4806, 2387, 337, 21948, 286, 303, 283, 323, 1204, 754, 285, 315, 342, 266, 264, 318, 323, 22866, 318, 2421, 318, 263, 286, 303, 283, 15965, 529, 528, 285, 315, 342, 266, 264, 262, 12452, 799, 13292, 1022, 2262, 4553, 676, 2387, 318, 323, 22866, 318, 2421, 318, 319, 543, 1776, 2262, 269, 634, 2387, 332, 1712, 319, 4661, 568, 1305, 547, 1412, 821, 3299, 799, 1797, 602, 519, 7718, 1807, 786, 5352, 513, 2582, 10471, 780, 2162, 21541, 6874, 652, 590, 5902, 692, 5194, 1455, 1239, 5108, 4305, 538, 3684, 1565, 568, 24590, 513, 10471, 883, 2866, 543, 4152, 5036, 269, 901, 568, 2356, 2944, 547, 6218, 519, 2773, 540, 513, 2203, 593, 31305, 1239, 269, 1284, 666, 946, 519, 2387, 335, 1157, 548, 319, 5399, 547, 4688, 543, 4452, 519, 2866, 543, 4152, 5036, 267, 543, 519, 2387, 15884, 318, 2102, 4733, 319, 7718, 1807, 547, 5352, 873, 780, 2080, 781, 606, 1383, 540, 1210, 519, 2387, 15884, 318, 2102, 4733, 319, 7718, 1807, 547, 5352, 2866, 543, 4152, 5036, 1384, 3499, 7090, 454, 5814, 21795, 607, 19073, 454, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 454, 5228, 786, 318, 2102, 4733, 1104, 786, 318, 2102, 4733, 267, 2154, 692, 5035, 3733, 10574, 17653, 1807, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1239, 32470, 2187, 1038, 1582, 21606, 32470, 815, 1239, 32470, 692, 825, 7711, 7528, 790, 3488, 11907, 32470, 5073, 825, 7711, 15884, 318, 2102, 4733, 3488, 335, 1157, 548, 3299, 1412, 30221, 15305, 5334, 5902, 5073, 825, 1219, 1024, 17601, 15305, 5334, 5902, 4311, 267, 1239, 267, 786, 318, 2102, 4733, 318, 4486, 2187, 1038, 1239, 32470, 815, 1239, 9131, 11907, 32470, 23300, 1038, 5721, 16182, 267, 1449, 16182, 815, 5721, 15305, 5334, 5902, 18692, 2018, 1239, 32470, 28827, 267, 1449, 15481, 284, 271, 269, 276, 267, 4351, 26077, 284, 271, 994, 1038, 2132, 630, 30221, 16182, 267, 1449, 16182, 994, 7884, 1103, 713, 1383, 267, 649, 5581, 513, 2387, 7069, 10574, 17653, 1807, 319, 1362, 602, 3217, 513, 17455, 553, 4578, 20988, 607, 3403, 543, 8637, 621, 538, 519, 2387, 11907, 32470, 319, 14487, 269, 634, 2387, 2102, 17601, 15305, 5334, 5902, 319, 1505, 568, 21243, 609, 519, 2387, 7528, 790, 319, 7718, 1807, 267, 799, 5849, 602, 519, 2387, 11907, 32470, 319, 14487, 568, 2139, 1354, 10451, 519, 2866, 543, 4152, 5036, 269, 634, 2387, 15884, 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 ]
[ 3698, 1292, 10031, 825, 1239, 815, 1205, 12774, 4590, 825, 2638, 12774, 16597, 9239, 10852, 4590, 0, 3698, 4194, 6025, 267, 521, 8217, 2187, 825, 759, 8217, 815, 11713, 825, 585, 521, 538, 521, 8217, 912, 1038, 952, 521, 2652, 834, 320, 257, 2608, 7003, 4433, 2187, 2018, 759, 8217, 6910, 8987, 272, 994, 1038, 8640, 521, 3436, 834, 520, 322, 18344, 13426, 2018, 759, 8217, 6910, 263, 271, 994, 1038, 3116, 912, 2018, 952, 521, 314, 272, 316, 3436, 834, 320, 13426, 3546, 759, 8217, 6910, 263, 272, 994, 2018, 8640, 521, 314, 273, 316, 3436, 834, 339, 13426, 3546, 759, 8217, 6910, 263, 272, 994, 2018, 8640, 521, 314, 273, 316, 3436, 834, 320, 13426, 3546, 759, 8217, 6910, 263, 273, 994, 2018, 3116, 912, 3546, 585, 1775, 267, 513, 538, 26246, 4433, 2187, 7386, 952, 1775, 13843, 476, 274, 912, 13376, 952, 513, 3436, 834, 339, 13426, 23351, 759, 8217, 6910, 9217, 910, 476, 272, 994, 23351, 2736, 454, 13376, 8640, 513, 3436, 834, 320, 13426, 23351, 759, 8217, 6910, 9217, 994, 23351, 2736, 454, 825, 2132, 759, 8217, 7531, 3698, 1292, 10031, 825, 512, 815, 703, 9272, 15405, 825, 521, 8217, 815, 1496, 6358, 3890, 585, 9041, 538, 2039, 6025, 22708, 825, 759, 815, 4194, 6025, 267, 521, 8217, 994, 825, 585, 678, 538, 759, 912, 1038, 1820, 16868, 9239, 3698, 1449, 10031, 825, 7682, 4194, 263, 274, 267, 22373, 520, 13892, 518, 2580, 834, 322, 30611, 528, 806, 2580, 834, 12711, 320, 257, 8079, 2652, 1496, 272, 267, 476, 271, 267, 910, 272, 6540, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1449, 4590, 825, 1292, 4590, 0, 3698, 4194, 4433, 267, 512, 2187, 825, 952, 521, 2652, 512, 912, 1038, 2132, 1412, 338, 877, 7055, 825, 8640, 521, 31573, 3890, 2652, 512, 31573, 10031, 1038, 2132, 1412, 13826, 15564, 17567, 7055, 825, 3116, 912, 1038, 2132, 1412, 18528, 5166, 262, 7531, 3698, 1292, 10031, 825, 521, 815, 3403, 4590, 825, 512, 815, 3403, 4590, 825, 759, 815, 4194, 4433, 267, 512, 994, 825, 1820, 263, 637, 9239, 3698, 1449, 10031, 825, 7682, 4194, 3488, 6781, 290, 3299, 1412, 27398, 10807, 2652, 1412, 13826, 15564, 17567, 7055, 825, 7682, 4194, 3488, 15383, 345, 3299, 1412, 15383, 345, 10807, 2652, 1412, 338, 877, 7055, 825, 7682, 4194, 3488, 320, 17762, 3299, 1412, 330, 329, 295, 10807, 2652, 1412, 18528, 5166, 262, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1449, 4590, 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 ]
[ 16381, 329, 656, 329, 520, 329, 4673, 538, 1931, 547, 1294, 519, 1158, 998, 513, 1114, 1305, 540, 4064, 269, 1280, 782, 540, 891, 1893, 1053, 267, 741, 1893, 568, 519, 1034, 3730, 563, 763, 4128, 585, 1565, 513, 1893, 3313, 711, 1175, 519, 1893, 267, 855, 849, 1018, 596, 1445, 593, 538, 1565, 269, 1280, 1870, 538, 6576, 267, 1454, 540, 519, 1870, 786, 4440, 581, 538, 2296, 267, 865, 1507, 2911, 786, 581, 519, 1034, 1271, 269, 5047, 267, 1454, 540, 707, 4974, 786, 581, 2944, 693, 1753, 267, 538, 1063, 15143, 547, 6576, 269, 1280, 20474, 267, 596, 1131, 1451, 1018, 596, 1223, 1631, 693, 1753, 1700, 21353, 545, 16990, 1845, 1700, 29592, 2921, 621, 909, 538, 7118, 652, 538, 3127, 269, 4495, 596, 3893, 972, 267, 596, 1131, 581, 11303, 676, 2923, 538, 20474, 543, 5065, 10529, 267, 543, 596, 1131, 2119, 547, 3717, 547, 519, 1004, 1472, 596, 269, 1280, 12428, 267, 6947, 547, 2575, 543, 8384, 8874, 1131, 948, 267, 543, 1287, 1818, 8942, 547, 1265, 29240, 547, 3717, 547, 1131, 3142, 519, 12809, 1702, 883, 606, 3742, 11578, 269, 1280, 16381, 329, 656, 329, 520, 329, 4673, 267, 4440, 519, 1152, 2707, 540, 519, 1893, 1131, 581, 5065, 10529, 267, 865, 1353, 1131, 581, 7920, 7391, 267, 543, 1287, 4974, 593, 707, 1378, 519, 1913, 543, 2453, 689, 1346, 7391, 563, 2690, 835, 1268, 267, 6739, 568, 1034, 3730, 267, 543, 4440, 14472, 24297, 12942, 610, 606, 593, 11060, 4199, 899, 14970, 332, 5255, 320, 2593, 1131, 581, 1034, 5363, 269, 1280, 1776, 267, 16381, 329, 656, 329, 520, 329, 4673, 568, 1034, 3730, 267, 543, 3221, 532, 609, 1004, 949, 581, 519, 1152, 1893, 4199, 563, 27269, 267, 950, 594, 6557, 4280, 827, 519, 1034, 968, 2224, 995, 892, 1893, 267, 519, 2307, 518, 17648, 602, 713, 568, 606, 2804, 2243, 282, 538, 824, 1913, 281, 1548, 1893, 786, 1118, 803, 519, 1034, 2724, 286, 1809, 649, 1294, 1657, 602, 519, 2243, 540, 1018, 1893, 547, 1451, 543, 875, 19674, 689, 1585, 24500, 267, 1082, 540, 799, 616, 3929, 543, 711, 2804, 269, 10251, 267, 594, 1589, 1082, 5238, 8263, 602, 9297, 568, 519, 1034, 1271, 2243, 269, 1280, 713, 2601, 267, 930, 9945, 6806, 741, 4147, 923, 13623, 269, 769, 1840, 267, 519, 2804, 2243, 1281, 711, 2141, 1291, 547, 513, 2582, 1893, 269, 1306, 594, 1767, 267, 1657, 267, 9297, 949, 1291, 596, 547, 1451, 4457, 267, 19446, 267, 610, 6739, 269, 21298, 594, 1224, 602, 930, 4457, 1004, 616, 1565, 1744, 7431, 538, 1931, 547, 798, 1870, 538, 25472, 269, 901, 3903, 3357, 1317, 540, 2799, 2804, 13218, 1063, 4427, 25781, 4000, 543, 3624, 563, 3383, 1995, 2982, 602, 519, 13429, 602, 9297, 1419, 1281, 711, 18663, 2576, 547, 1451, 513, 1893, 269, 4634, 952, 9297, 1281, 18663, 2576, 267, 9297, 1281, 711, 2141, 1291, 547, 519, 1482, 1893, 563, 3963, 616, 596, 4974, 610, 1616, 547, 1353, 707, 1893, 286, 1548, 1797, 616, 596, 1210, 547, 1353, 873, 286, 1215, 1705, 596, 3442, 1346, 1797, 286, 7490, 1039, 707, 4267, 547, 519, 8292, 3296, 269, 0, 272, 269, 16505, 6658, 30579, 966, 290, 2464, 630, 309, 264, 7711, 307, 320, 815, 476, 1839, 286, 290, 815, 476, 4968, 309, 454, 273, 269, 30312, 6630, 7351, 28951, 15096, 630, 288, 264, 7711, 307, 320, 815, 476, 1839, 286, 290, 2433, 476, 1220, 288, 454, 763, 570, 657, 3031, 320, 15768, 30312, 6630, 338, 616, 2139, 538, 1164, 19581, 5653, 543, 1164, 268, 9690, 16863, 269, 1358, 616, 1031, 538, 28860, 543, 286, 12741, 7503, 11387, 585, 971, 3309, 3156, 607, 5179, 10256, 267, 796, 5793, 4533, 1043, 1379, 3761, 630, 308, 4916, 264, 1949, 267, 594, 295, 3434, 619, 267, 11919, 4159, 8440, 630, 303, 7894, 338, 1070, 588, 549, 2041, 30303, 543, 865, 593, 563, 263, 272, 264, 30312, 6630, 338, 849, 10023, 3728, 15175, 454, 263, 273, 264, 8899, 21689, 15041, 7867, 25294, 6453, 1256, 538, 519, 1804, 1699, 1858, 454, 263, 274, 264, 30312, 6630, 338, 10023, 513, 3710, 2987, 26534, 609, 6099, 4162, 3358, 547, 1808, 3156, 454, 263, 275, 264, 4400, 3403, 25317, 2636, 6453, 11479, 454, 263, 276, 264, 12232, 538, 513, 3099, 540, 15004, 454, 26212, 547, 519, 1646, 540, 30312, 6630, 338, 267, 1379, 631, 5308, 293, 4953, 338, 941, 1031, 585, 1379, 24582, 3156, 799, 2154, 1164, 286, 6358, 25317, 543, 3728, 15175, 269, 1717, 267, 693, 1164, 28696, 267, 519, 593, 15581, 4187, 6385, 4679, 607, 519, 286, 19874, 6658, 6453, 4679, 269, 898, 568, 3976, 2352, 547, 2087, 519, 26634, 2530, 540, 1379, 631, 5308, 293, 4953, 338, 269, 0, 2252, 596, 2461, 1007, 547, 519, 2361, 540, 3301, 1646, 267, 519, 27162, 4554, 851, 540, 1565, 5752, 568, 14045, 1141, 547, 2253, 563, 2252, 596, 2461, 5461, 538, 11197, 2472, 543, 5985, 813, 1646, 267, 27997, 568, 513, 1434, 1747, 547, 1376, 269, 3689, 9307, 676, 11197, 538, 476, 1001, 275, 267, 27997, 568, 513, 5266, 1007, 5752, 1893, 1031, 547, 1020, 25515, 543, 5672, 5308, 3156, 563, 2252, 596, 2461, 5432, 609, 10084, 12544, 5929, 5752, 1893, 538, 922, 1378, 1318, 22924, 779, 4502, 10992, 856, 922, 2413, 23013, 267, 2480, 8403, 269, 2480, 8403, 10905, 519, 1655, 2934, 540, 10084, 630, 7945, 607, 922, 8629, 14114, 686, 5034, 12856, 543, 922, 17500, 1922, 770, 808, 30470, 678, 29025, 1604, 264, 609, 513, 2413, 6335, 563, 3080, 540, 519, 4295, 4654, 23163, 676, 5616, 267, 3619, 568, 519, 2370, 1893, 602, 1223, 269, 1306, 513, 1970, 7400, 1893, 267, 3619, 568, 4998, 585, 8030, 945, 1616, 547, 4283, 519, 2361, 540, 1949, 5752, 269, 898, 13315, 1454, 540, 519, 1482, 10342, 540, 595, 543, 595, 10030, 1510, 519, 2352, 16105, 543, 14869, 1565, 7455, 563, 23911, 568, 5310, 519, 1034, 3593, 7888, 5752, 1893, 540, 1022, 593, 713, 1592, 269, 898, 779, 1419, 1767, 602, 5124, 779, 16105, 568, 2312, 267, 16022, 267, 543, 3592, 2296, 6438, 267, 799, 267, 899, 10084, 267, 2306, 621, 513, 2442, 3903, 585, 14987, 563, 3080, 540, 519, 21836, 4654, 593, 938, 1592, 267, 1018, 3459, 607, 513, 12370, 2875, 779, 5098, 814, 1631, 6738, 547, 1831, 513, 1448, 540, 6612, 585, 4395, 15134, 9367, 1472, 519, 1158, 563, 305, 889, 344, 568, 1776, 7097, 532, 1893, 602, 779, 4122, 1031, 585, 1357, 1646, 269, 769, 1880, 267, 621, 779, 1031, 607, 519, 4493, 585, 519, 2442, 25007, 593, 681, 5661, 1357, 3498, 5943, 563, 12024, 595, 10030, 267, 595, 258, 630, 29455, 595, 1744, 17369, 264, 568, 513, 2489, 26928, 267, 1843, 15129, 1893, 3710, 593, 519, 13210, 540, 595, 269, 898, 729, 8385, 2966, 676, 9786, 607, 851, 540, 922, 1547, 25892, 5943, 585, 2679, 8837, 3156, 563, 2005, 779, 8943, 5384, 454, 2691, 14045, 799, 5752, 1893, 547, 1451, 267, 621, 779, 1271, 711, 547, 1205, 9575, 909, 538, 1166, 553, 1506, 3466, 543, 8560, 733, 3949, 269, 634, 1655, 5752, 4654, 547, 1451, 538, 476, 1708, 272, 616, 2693, 519, 1482, 3283, 602, 941, 1655, 547, 1451, 538, 476, 1001, 278, 543, 476, 1001, 279, 267, 543, 602, 786, 3136, 547, 581, 3020, 585, 519, 1985, 1896, 1296, 607, 1134, 563, 7212, 519, 2361, 540, 2780, 5752, 2242, 6385, 267, 519, 4654, 602, 649, 4076, 5941, 1657, 723, 513, 1390, 4308, 540, 9363, 1379, 269, 1635, 1565, 835, 610, 811, 540, 891, 4654, 267, 596, 3580, 581, 538, 606, 5140, 2990, 711, 1152, 585, 713, 1032, 855, 538, 519, 1296, 547, 2097, 563, 300, 9394, 1646, 281, 27997, 267, 10084, 267, 595, 16482, 29228, 1646, 281, 595, 10030, 267, 595, 16482, 5327, 330, 9008, 3156, 281, 10084, 267, 595, 10030, 267, 5124, 454, 21902, 338, 5752, 281, 595, 0, 2005, 568, 513, 9488, 2079, 540, 1585, 2516, 267, 2621, 267, 5322, 267, 1883, 5515, 267, 543, 2915, 5733, 602, 723, 6766, 4207, 28991, 545, 4909, 1143, 269, 634, 9029, 540, 28991, 545, 4909, 1143, 519, 21099, 30028, 269, 9099, 4909, 1143, 568, 513, 3376, 2165, 602, 4016, 547, 519, 10952, 610, 24396, 1935, 540, 1978, 2516, 1369, 519, 28991, 545, 2245, 945, 3180, 602, 519, 7117, 584, 534, 568, 519, 538, 518, 7949, 543, 21055, 269, 634, 3141, 23036, 13822, 827, 476, 5952, 829, 1298, 540, 519, 10600, 835, 5479, 1660, 32093, 269, 2201, 519, 11782, 267, 607, 1134, 607, 538, 31564, 543, 10838, 1082, 5640, 540, 28991, 543, 519, 1647, 7532, 267, 972, 568, 513, 13283, 585, 2474, 971, 607, 28991, 1143, 267, 28991, 6291, 267, 28991, 1235, 267, 610, 28991, 27913, 538, 269, 634, 6249, 540, 519, 960, 1445, 2390, 519, 16609, 540, 28991, 545, 4909, 1143, 267, 538, 519, 2796, 540, 14051, 8977, 532, 689, 519, 22237, 267, 1514, 543, 2797, 2621, 269, 898, 735, 1564, 1346, 540, 721, 945, 723, 5892, 2854, 593, 28991, 545, 4909, 1143, 547, 2992, 593, 519, 9342, 543, 12755, 540, 938, 9382, 269, 1403, 519, 10066, 540, 28991, 545, 25954, 3217, 513, 1106, 540, 3909, 14556, 2305, 27808, 569, 27808, 20218, 693, 519, 1367, 1377, 267, 519, 14556, 2305, 538, 4909, 1143, 568, 6322, 21286, 569, 607, 1134, 21286, 20218, 269, 7325, 476, 6349, 267, 476, 1001, 279, 4647, 4503, 28991, 545, 1686, 676, 535, 597, 553, 12659, 327, 622, 20623, 7824, 19545, 1863, 269, 589, 1686, 540, 4909, 1143, 3440, 14932, 3988, 5858, 269, 17557, 4909, 1143, 538, 13314, 267, 9925, 880, 4909, 1143, 538, 568, 5361, 267, 543, 28991, 545, 4909, 1143, 538, 26131, 543, 3352, 534, 30161, 1681, 875, 1142, 814, 2919, 922, 1378, 2189, 1259, 540, 28530, 519, 14213, 338, 540, 29678, 269, 7332, 4909, 626, 5322, 723, 5310, 811, 538, 1455, 609, 13889, 656, 3392, 338, 538, 2038, 2413, 24067, 1686, 982, 609, 1459, 22344, 563, 12606, 2407, 3667, 7824, 4647, 2407, 3667, 7824, 519, 530, 3949, 17091, 540, 1660, 3916, 2244, 543, 519, 4473, 540, 28991, 545, 4909, 1143, 2376, 7824, 2139, 23891, 4231, 476, 1001, 271, 609, 476, 274, 267, 279, 1428, 14509, 269, 7316, 666, 1775, 1265, 513, 1686, 540, 4909, 1143, 538, 519, 579, 269, 3345, 7819, 22344, 4909, 1143, 543, 28991, 545, 4909, 1143, 269, 634, 1079, 2101, 10764, 538, 562, 12342, 616, 22344, 640, 543, 28991, 269, 8437, 4647, 610, 1224, 2228, 7735, 547, 1205, 28991, 545, 4909, 1143, 543, 28991, 545, 9097, 1143, 1433, 1631, 563, 19328, 267, 543, 538, 3140, 2474, 1312, 666, 23710, 4601, 581, 2938, 607, 2665, 540, 1875, 269, 4014, 28991, 545, 4909, 1143, 1058, 711, 581, 11821, 609, 18483, 267, 621, 568, 11130, 602, 18483, 799, 568, 513, 1587, 540, 17119, 1143, 568, 519, 824, 3068, 540, 269, 12465, 5640, 540, 1660, 3916, 1686, 3335, 3717, 540, 5910, 342, 12351, 2540, 7453, 28991, 626, 5322, 1759, 593, 7453, 12496, 540, 519, 7117, 584, 534, 543, 519, 1185, 603, 607, 25954, 610, 25954, 626, 5322, 267, 6466, 519, 2165, 4909, 1143, 799, 1082, 1660, 32093, 7947, 8521, 2431, 568, 11603, 585, 28991, 545, 2797, 5322, 13991, 269, 1809, 789, 798, 711, 899, 1373, 1572, 3909, 4909, 1235, 1317, 28991, 545, 4909, 1235, 616, 538, 713, 1482, 1895, 269, 27284, 1143, 267, 538, 519, 7522, 652, 2495, 540, 519, 2165, 267, 729, 513, 3350, 602, 3459, 538, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 1417, 1722, 1369, 7819, 13889, 656, 10580, 547, 9718, 519, 17950, 540, 3661, 1996, 519, 1351, 4592, 633, 2360, 540, 12666, 1143, 602, 1185, 6738, 1369, 519, 269, 634, 14985, 540, 28991, 545, 4909, 1143, 519, 1686, 540, 4207, 28991, 545, 4909, 1143, 3459, 538, 519, 476, 4572, 271, 338, 269, 10609, 19981, 586, 320, 27256, 10145, 29023, 267, 513, 1660, 3916, 16159, 540, 28991, 267, 3217, 513, 1114, 2070, 538, 1010, 1433, 267, 4909, 1143, 269, 7332, 17119, 626, 2516, 21237, 723, 804, 14414, 609, 1312, 2451, 9405, 1053, 543, 26602, 760, 730, 530, 558, 839, 2516, 267, 1247, 4909, 626, 708, 4461, 11755, 3401, 723, 6591, 3310, 538, 563, 26576, 545, 2413, 1143, 543, 4909, 1143, 616, 1312, 6547, 547, 519, 21022, 1514, 267, 2797, 543, 4108, 1379, 540, 1660, 3916, 23693, 543, 476, 273, 694, 344, 26191, 554, 657, 572, 514, 13439, 337, 267, 28991, 538, 519, 2413, 1158, 1007, 26294, 269, 4985, 519, 28991, 626, 23381, 568, 538, 1463, 11685, 547, 4207, 7262, 2093, 827, 2229, 267, 2486, 267, 543, 519, 1909, 540, 4984, 538, 4948, 1272, 269, 26597 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5149, 281, 4985, 547, 4578, 28294, 1637, 609, 5124, 692, 2162, 7689, 476, 272, 281, 7383, 532, 23905, 543, 12861, 513, 13096, 553, 564, 692, 1103, 5124, 267, 649, 1419, 946, 8021, 547, 1685, 1808, 4247, 269, 2368, 8021, 616, 3710, 2987, 267, 1247, 1866, 991, 547, 581, 8704, 543, 16865, 269, 1280, 713, 1770, 267, 649, 3513, 581, 1210, 519, 1739, 8021, 1384, 268, 2387, 31596, 319, 585, 10230, 4238, 454, 268, 2387, 335, 663, 553, 319, 585, 1239, 12879, 454, 268, 2387, 12921, 16753, 319, 585, 3684, 1565, 692, 4131, 781, 1376, 676, 16459, 543, 1104, 532, 891, 8021, 912, 3499, 7090, 454, 256, 26921, 3888, 11885, 21795, 28189, 692, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 28189, 269, 2181, 30112, 1104, 2290, 31640, 21886, 18344, 454, 8199, 3086, 267, 1577, 781, 1711, 513, 10471, 269, 769, 713, 2013, 267, 649, 3513, 1711, 513, 10471, 540, 2875, 9344, 538, 2979, 543, 2296, 3332, 630, 8777, 299, 527, 264, 5396, 269, 3962, 2875, 814, 1614, 9344, 538, 1142, 1641, 267, 8204, 741, 3356, 936, 942, 780, 2171, 3513, 946, 519, 2387, 31596, 20179, 269, 7538, 319, 1599, 547, 5352, 4351, 9344, 609, 513, 1611, 540, 476, 278, 269, 276, 543, 513, 3044, 11539, 540, 476, 273, 269, 1284, 3513, 849, 14477, 3651, 513, 4116, 547, 1142, 2875, 563, 3499, 7090, 454, 4206, 815, 19073, 6185, 1092, 20988, 18692, 825, 5286, 20179, 269, 7538, 263, 278, 269, 276, 267, 476, 273, 267, 2450, 14352, 1911, 267, 476, 277, 264, 13211, 825, 9587, 284, 14277, 13043, 476, 272, 2580, 834, 13043, 476, 273, 2580, 834, 13043, 476, 274, 2580, 834, 8777, 299, 527, 476, 272, 2580, 834, 8777, 299, 527, 476, 273, 2580, 834, 8777, 299, 527, 476, 274, 257, 16689, 2020, 974, 18291, 815, 5286, 20179, 26716, 4069, 8443, 257, 298, 13873, 2580, 834, 291, 342, 697, 2580, 834, 291, 537, 326, 257, 3910, 2450, 284, 1911, 994, 4206, 14277, 27645, 19312, 815, 3610, 692, 2745, 6600, 257, 24314, 1239, 18134, 4408, 2715, 4206, 31815, 8435, 269, 11161, 348, 1422, 333, 5602, 8199, 2162, 7689, 476, 273, 281, 27686, 28758, 18780, 692, 763, 6241, 4408, 538, 938, 10471, 616, 711, 4998, 585, 1239, 12879, 269, 1358, 2270, 5624, 543, 616, 711, 538, 27608, 269, 1284, 666, 2328, 513, 1599, 547, 2973, 891, 6241, 4408, 543, 6460, 873, 883, 513, 2241, 13131, 13826, 3898, 630, 718, 27608, 609, 19156, 19459, 1913, 1916, 3499, 7090, 454, 3698, 2973, 5332, 1868, 29254, 281, 19073, 6185, 1092, 20988, 264, 9847, 19073, 6185, 1092, 20988, 912, 825, 5727, 9577, 547, 2973, 6241, 4408, 543, 6460, 621, 883, 2241, 13131, 13826, 3898, 269, 8173, 825, 17093, 31815, 8435, 815, 17093, 31815, 8435, 269, 1598, 31573, 4590, 825, 17093, 31815, 8435, 815, 17093, 31815, 8435, 269, 1598, 18622, 2897, 2891, 14307, 834, 318, 5602, 825, 2132, 17093, 692, 2745, 263, 30236, 5332, 1868, 29254, 23584, 3890, 4917, 4206, 318, 30236, 815, 2973, 5332, 1868, 29254, 994, 8199, 2162, 7689, 476, 274, 281, 17006, 606, 9517, 28758, 692, 1103, 1239, 12879, 267, 621, 781, 1419, 3730, 547, 723, 513, 2189, 32165, 585, 1142, 4737, 269, 1284, 666, 1039, 606, 834, 573, 257, 6241, 547, 938, 10471, 267, 799, 786, 2270, 519, 4994, 540, 1142, 4737, 563, 3499, 7090, 454, 4206, 318, 30236, 14277, 573, 19312, 815, 17093, 318, 30236, 28827, 454, 8199, 2162, 7689, 476, 275, 281, 20593, 1154, 4578, 689, 22453, 547, 7043, 14474, 692, 5978, 10471, 568, 4867, 538, 513, 2647, 3898, 267, 2495, 602, 1142, 4737, 3568, 2789, 7422, 585, 1142, 2875, 269, 1284, 666, 6460, 713, 1239, 883, 513, 1279, 3898, 267, 1141, 1142, 4737, 3568, 513, 2582, 8343, 269, 901, 568, 1419, 3730, 585, 1239, 2079, 543, 14839, 780, 2171, 3513, 946, 519, 2387, 335, 323, 269, 4204, 15461, 9078, 784, 319, 1599, 547, 6460, 938, 1239, 883, 513, 1279, 3898, 269, 901, 1599, 3217, 519, 1739, 7440, 1384, 268, 2387, 4206, 29699, 634, 1239, 18134, 547, 6460, 563, 268, 2387, 560, 889, 12849, 29699, 634, 1455, 851, 540, 519, 6241, 4408, 547, 581, 19882, 1927, 563, 268, 2387, 572, 335, 29699, 634, 3021, 1807, 1031, 538, 519, 6241, 4408, 563, 268, 2387, 328, 29699, 634, 4994, 6241, 4433, 1916, 268, 2387, 329, 29699, 634, 6241, 5627, 519, 21879, 525, 547, 581, 1031, 607, 519, 1007, 6241, 563, 3499, 7090, 454, 4206, 318, 30236, 9078, 784, 815, 19073, 269, 4204, 15461, 9078, 784, 18692, 825, 17093, 318, 30236, 267, 20839, 12849, 284, 14277, 4118, 2580, 834, 1263, 26569, 257, 3910, 694, 335, 6889, 318, 2580, 1775, 284, 14277, 573, 257, 3910, 795, 6889, 20204, 4840, 1040, 637, 564, 16229, 5560, 1886, 25716, 994, 8199, 2162, 7689, 476, 276, 281, 2290, 6953, 582, 7402, 5317, 692, 3080, 3620, 582, 17683, 568, 513, 1184, 540, 14291, 28547, 1239, 883, 513, 3898, 602, 666, 581, 3177, 547, 3684, 1565, 6620, 547, 2087, 11236, 269, 769, 938, 2013, 267, 649, 666, 835, 3620, 582, 31391, 519, 834, 974, 18291, 257, 6241, 547, 1711, 1007, 9587, 585, 1142, 4116, 780, 2171, 3513, 946, 519, 2387, 335, 323, 10947, 5091, 27186, 319, 1599, 547, 1685, 835, 3620, 582, 17683, 269, 901, 1599, 3217, 519, 1739, 7440, 1384, 268, 2387, 4206, 29699, 634, 1239, 18134, 547, 31391, 563, 268, 2387, 3712, 8435, 29699, 634, 6241, 4433, 264, 547, 31391, 563, 268, 2387, 17840, 6958, 1009, 29699, 6787, 547, 6749, 519, 1101, 6241, 630, 6518, 568, 1419, 32118, 1916, 3499, 7090, 454, 4206, 318, 334, 515, 815, 19073, 10947, 5091, 27186, 29254, 318, 30236, 9078, 784, 267, 9587, 284, 14277, 974, 18291, 257, 3910, 6749, 6958, 1009, 18989, 994, 2745, 29254, 318, 334, 515, 994, 8199, 4517, 602, 781, 621, 256, 1284, 4312, 6707, 2813, 543, 26203, 513, 10471, 1210, 5124, 269, 769, 519, 1985, 1770, 267, 649, 3513, 1451, 875, 547, 1685, 1239, 2079, 543, 14839, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 19282, 10179, 545, 1104, 2450, 454, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 454, 5228, 28189, 269, 2181, 30112, 1104, 2290, 31640, 21886, 18344, 692, 2162, 8073, 10471, 454, 4206, 815, 19073, 6185, 1092, 20988, 18692, 825, 5286, 20179, 269, 7538, 263, 278, 269, 276, 267, 476, 273, 267, 2450, 14352, 1911, 267, 476, 277, 264, 13211, 825, 9587, 284, 14277, 13043, 476, 272, 2580, 834, 13043, 476, 273, 2580, 834, 13043, 476, 274, 2580, 834, 8777, 299, 527, 476, 272, 2580, 834, 8777, 299, 527, 476, 273, 2580, 834, 8777, 299, 527, 476, 274, 257, 16689, 2020, 974, 18291, 815, 5286, 20179, 26716, 4069, 8443, 257, 298, 13873, 2580, 834, 291, 342, 697, 2580, 834, 291, 537, 326, 257, 3910, 2450, 284, 1911, 994, 4206, 14277, 27645, 19312, 815, 3610, 692, 2745, 6600, 257, 24314, 1239, 18134, 4408, 2715, 4206, 31815, 8435, 269, 11161, 348, 1422, 333, 257, 9239, 3698, 2973, 5332, 1868, 29254, 281, 19073, 6185, 1092, 20988, 264, 9847, 19073, 6185, 1092, 20988, 912, 825, 5727, 9577, 547, 2973, 6241, 4408, 543, 6460, 621, 883, 2241, 13131, 13826, 3898, 269, 8173, 825, 17093, 31815, 8435, 815, 17093, 31815, 8435, 269, 1598, 31573, 4590, 825, 17093, 31815, 8435, 815, 17093, 31815, 8435, 269, 1598, 18622, 2897, 2891, 14307, 834, 318, 5602, 825, 2132, 17093, 7531, 2745, 263, 30236, 5332, 1868, 29254, 23584, 3890, 4917, 4206, 318, 30236, 815, 2973, 5332, 1868, 29254, 994, 4206, 318, 30236, 14277, 573, 19312, 815, 17093, 318, 30236, 28827, 454, 258, 1820, 29254, 272, 2020, 4206, 318, 30236, 9078, 784, 815, 19073, 269, 4204, 15461, 9078, 784, 18692, 825, 17093, 318, 30236, 267, 20839, 12849, 284, 14277, 4118, 2580, 834, 1263, 26569, 257, 3910, 694, 335, 6889, 318, 2580, 1775, 284, 14277, 573, 257, 3910, 795, 6889, 20204, 4840, 1040, 637, 564, 16229, 5560, 1886, 25716, 2020, 4206, 318, 334, 515, 815, 19073, 10947, 5091, 27186, 29254, 318, 30236, 9078, 784, 267, 9587, 284, 14277, 974, 18291, 257, 3910, 6749, 6958, 1009, 18989, 994, 2745, 29254, 318, 334, 515, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1691, 281, 30101, 24054, 543, 14640, 7304, 659, 1143, 910, 11554, 27870, 513, 12876, 5980, 692, 5331, 596, 616, 4730, 513, 3014, 1141, 3025, 6238, 609, 1114, 5666, 540, 2798, 269, 2368, 5716, 1376, 609, 7466, 607, 1082, 2798, 607, 1866, 267, 1247, 930, 1810, 1405, 723, 1022, 2798, 693, 782, 256, 901, 3884, 1406, 4023, 267, 1318, 286, 10251, 267, 713, 4523, 538, 1483, 1272, 1932, 950, 621, 2501, 547, 3255, 1759, 593, 2576, 779, 5198, 269, 898, 1797, 1004, 3068, 15490, 2591, 1317, 540, 741, 2960, 2681, 267, 799, 5540, 875, 789, 2661, 267, 1451, 267, 543, 1332, 269, 2334, 781, 1946, 649, 991, 7292, 9698, 543, 4550, 268, 2350, 1143, 269, 2913, 781, 1174, 1018, 891, 2474, 1611, 543, 875, 649, 666, 3565, 2509, 2870, 513, 811, 1175, 1158, 780, 1432, 1281, 1412, 15869, 262, 2731, 1611, 888, 10900, 19567, 2691, 649, 2911, 827, 2048, 15869, 8730, 649, 1419, 1589, 540, 2168, 3604, 899, 2960, 2681, 267, 11132, 2934, 267, 610, 4552, 9403, 269, 1717, 267, 3744, 3858, 972, 568, 1152, 835, 1480, 5198, 31127, 269, 17813, 568, 2965, 513, 1514, 1523, 2813, 676, 3425, 547, 30387, 1142, 824, 1759, 593, 5920, 269, 10801, 1686, 267, 1978, 14797, 941, 2016, 22864, 267, 1247, 1866, 5185, 7130, 269, 1452, 21376, 5574, 3366, 547, 1713, 13103, 1063, 7292, 2516, 780, 8139, 30101, 21153, 640, 454, 10900, 19030, 305, 18432, 6528, 640, 4386, 950, 4507, 267, 2853, 267, 543, 6848, 3889, 18928, 2285, 5383, 547, 930, 7292, 2516, 1247, 8352, 1645, 1866, 269, 1280, 1383, 267, 4952, 1079, 3506, 1107, 835, 15866, 13984, 676, 3043, 1053, 543, 1776, 6140, 9967, 540, 4563, 543, 5824, 343, 1053, 269, 1403, 2200, 971, 607, 7616, 267, 11727, 3610, 267, 909, 3562, 15082, 6703, 267, 2835, 267, 543, 2029, 616, 7856, 19514, 569, 1063, 873, 267, 1287, 7292, 6528, 640, 6818, 780, 763, 8177, 540, 3590, 545, 32641, 454, 28598, 21902, 545, 10168, 4016, 547, 519, 1949, 543, 3889, 602, 723, 5773, 610, 3157, 602, 19319, 7292, 18441, 269, 1358, 949, 3100, 3339, 543, 4023, 855, 1267, 538, 7292, 8635, 1813, 547, 3140, 28639, 3710, 883, 2486, 936, 942, 269, 1323, 1383, 1223, 581, 2816, 3156, 282, 952, 12820, 796, 4621, 19290, 4782, 10457, 945, 2671, 2147, 10080, 610, 2833, 267, 23078, 689, 3309, 7292, 10080, 1522, 4413, 856, 593, 2816, 3255, 780, 4504, 18166, 14640, 7304, 659, 1143, 454, 10900, 692, 12901, 328, 268, 2350, 1143, 3322, 8362, 7114, 543, 4101, 22457, 4978, 543, 3527, 547, 1711, 12581, 4093, 585, 782, 269, 9861, 12809, 610, 9243, 3085, 1405, 948, 1439, 10168, 269, 5502, 267, 1169, 1367, 1590, 1491, 20982, 3268, 547, 5431, 17979, 267, 13720, 9186, 267, 543, 1489, 12790, 9739, 269, 1635, 3257, 865, 267, 649, 3895, 1620, 267, 6568, 267, 543, 9322, 1851, 1114, 7292, 2516, 780, 1692, 2052, 1284, 32754, 30101, 24054, 888, 29432, 2080, 616, 1614, 2081, 596, 666, 960, 2509, 5009, 7292, 9698, 1384, 2162, 476, 272, 269, 3447, 908, 23126, 543, 11524, 692, 9359, 676, 1565, 811, 827, 7292, 2152, 998, 6325, 2959, 899, 32026, 267, 27143, 267, 4930, 267, 543, 2835, 2854, 676, 4589, 689, 1585, 7292, 10080, 269, 9523, 707, 16012, 4030, 609, 2828, 543, 1920, 2818, 543, 5000, 1930, 7391, 827, 5198, 543, 7862, 269, 5457, 267, 1373, 9602, 610, 9319, 5717, 4465, 1405, 4194 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 13127, 364, 492, 24662, 4351, 17276, 357, 350, 419, 369, 482, 454, 5814, 4351, 692, 258, 29635, 357, 511, 27936, 6079, 13127, 478, 376, 454, 12690, 269, 23092, 263, 1015, 2020, 258, 17276, 487, 497, 11590, 480, 31365, 28578, 695, 28984, 4590, 332, 2643, 626, 815, 1496, 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, 2639, 12690, 11075, 28984, 9852, 2643, 626, 994, 2745, 9852, 2643, 626, 994, 12690, 11075, 28984, 9852, 2643, 626, 994, 2745, 9852, 2643, 626, 2020, 258, 28859, 504, 357, 418, 358, 509, 13200, 351, 13200, 509, 13601, 22390, 489, 419, 363, 482, 17295, 491, 10429, 356, 7511, 10533, 368, 10533, 372, 454, 2745, 263, 12690, 27110, 263, 276, 267, 1015, 11723, 258, 28859, 504, 357, 418, 358, 509, 13200, 351, 13200, 509, 13601, 22390, 489, 476, 271, 269, 271, 9625, 476, 271, 269, 272, 476, 10429, 356, 7511, 418, 369, 362, 421, 375, 508, 10533, 372, 454, 2745, 263, 12690, 20179, 15405, 0, 258, 476, 20881, 503, 15159, 13601, 418, 498, 363, 420, 357, 486, 28997, 501, 289, 11085, 7511, 31801, 489, 19764, 493, 454, 4067, 815, 3403, 2891, 420, 360, 489, 417, 499, 493, 418, 480, 357, 7511, 12571, 491, 21211, 15159, 286, 19515, 7076, 815, 3403, 2891, 420, 360, 489, 417, 499, 493, 418, 480, 357, 7511, 421, 360, 498, 19404, 491, 15159, 263, 10429, 361, 13161, 353, 21663, 19515, 7076, 815, 703, 263, 7076, 994, 19417, 815, 3403, 2891, 420, 360, 489, 417, 499, 493, 418, 480, 357, 7511, 420, 374, 360, 421, 360, 502, 15159, 263, 10429, 361, 16533, 374, 21663, 19515, 19417, 815, 10581, 263, 19417, 994, 289, 11085, 815, 2597, 1315, 630, 4463, 2608, 4463, 264, 476, 1948, 29635, 357, 486, 28997, 501, 289, 11085, 454, 2745, 28442, 267, 1412, 7511, 289, 11085, 418, 490, 485, 10533, 372, 15159, 22207, 19483, 264, 1948, 29635, 376, 372, 24731, 289, 11085, 28996, 420, 508, 351, 23946, 499, 31968, 454, 0, 2745, 2891, 16043, 495, 7511, 12571, 491, 21211, 15159, 13161, 377, 30837, 504, 27064, 509, 5602, 2745, 2891, 16043, 495, 10524, 488, 23946, 368, 1240, 27882, 366, 5602, 2745, 2891, 16043, 495, 7511, 421, 360, 498, 19404, 491, 2568, 10429, 361, 13161, 353, 15419, 4067, 815, 834, 13161, 377, 30837, 504, 27064, 509, 4840, 2745, 2891, 16043, 495, 7511, 12571, 491, 21211, 15159, 14824, 13161, 377, 30837, 504, 27064, 509, 5602, 20204, 815, 476, 1240, 454, 2745, 2891, 16043, 495, 10524, 488, 23946, 368, 2580, 20204, 2437, 27882, 366, 5602, 7076, 815, 476, 2568, 454, 2745, 2891, 16043, 495, 7511, 421, 360, 498, 19404, 491, 2580, 7076, 2437, 10429, 361, 13161, 353, 15419, 4067, 815, 3403, 2891, 420, 360, 489, 420, 376, 372, 24662, 12916, 510, 7511, 12571, 491, 21211, 5602, 2745, 2891, 16043, 495, 7511, 12571, 491, 21211, 15159, 2580, 4067, 994, 20204, 815, 3403, 2891, 420, 360, 489, 420, 376, 372, 24662, 12916, 510, 7511, 23946, 368, 27381, 478, 5602, 2745, 2891, 16043, 495, 10524, 488, 23946, 368, 2580, 20204, 994, 7076, 815, 3403, 2891, 420, 360, 489, 420, 376, 372, 24662, 12916, 510, 7511, 421, 360, 498, 19404, 491, 5602, 2745, 2891, 16043, 495, 7511, 421, 360, 498, 19404, 491, 15159, 2580, 7076, 994, 0, 18257, 1477, 272, 269, 2843, 510, 3264, 3522, 20434, 13194, 13833, 28476, 11714, 9924, 8563, 19757, 15800, 4709, 32553, 18775, 9261, 3522, 30530, 4138, 16068, 29824, 21134, 3264, 21833, 7846, 4344, 7549, 3264, 11714, 16417, 9261, 23845, 11714, 30935, 8563, 25986, 4138, 9261, 3378, 13150, 4138, 16068, 4344, 31128, 15671, 3378, 29824, 19757, 17201, 21833, 4138, 16021, 23783, 21170, 13150, 4138, 8653, 11714, 11012, 3264, 7549, 7846, 4709, 28027, 17153, 6769, 9686, 3378, 20413, 4138, 4709, 7846, 4344, 9924, 281, 2999, 338, 285, 11012, 3264, 7549, 282, 1477, 265, 18194, 3378, 24893, 3522, 4736, 3522, 281, 2999, 332, 285, 20413, 4138, 4709, 2999, 338, 285, 11012, 3264, 7549, 282, 1477, 265, 18194, 3378, 11012, 7846, 4344, 30718, 281, 2999, 327, 285, 24893, 3522, 4736, 2999, 332, 285, 20413, 4138, 4709, 2999, 338, 285, 11012, 3264, 7549, 282, 1477, 265, 2608, 9686, 3378, 20413, 27799, 9326, 20500, 3522, 267, 18194, 3378, 28314, 19757, 3522, 267, 25338, 17201, 9841, 20732, 3264, 28314, 19757, 3522, 281, 10780, 3378, 25602, 20265, 6459, 22147, 4138, 4138, 23228, 18257, 5897, 5503, 14067, 2086, 815, 15234, 5897, 3698, 1205, 14729, 792, 5560, 13424, 8029, 825, 1948, 20265, 11714, 17153, 19757, 18194, 3522, 27671, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 18194, 4709, 3264, 13953, 1477, 825, 2132, 1496, 323, 13424, 12262, 476, 18458, 267, 7857, 4939, 476, 18458, 316, 5897, 3698, 1205, 28804, 2373, 5560, 13424, 8029, 825, 1948, 21660, 11714, 17153, 19757, 18194, 3522, 27671, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 11012, 3264, 7549, 7846, 4709, 9686, 1477, 825, 2132, 1496, 323, 13424, 12262, 476, 2568, 267, 7857, 4939, 476, 2568, 316, 5897, 3698, 1205, 5091, 904, 5560, 13424, 8029, 825, 1948, 21660, 11714, 17153, 19757, 18194, 3522, 27671, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 24893, 3522, 4736, 13833, 1477, 825, 2132, 1496, 323, 13424, 12262, 476, 2190, 267, 7857, 4939, 476, 2190, 316, 5897, 3698, 1205, 20189, 2293, 5560, 13424, 8029, 825, 1948, 21660, 11714, 17153, 19757, 18194, 3522, 27671, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 20413, 4138, 4709, 7846, 4344, 1477, 825, 2132, 1496, 323, 13424, 12262, 476, 2568, 267, 7857, 4939, 476, 2568, 316, 5897, 6112, 6936, 6769, 825, 942, 14067, 2086, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 11714, 16417, 9261, 9326, 11714, 11012, 3264, 7549, 7846, 4709, 28027, 17153, 281, 834, 3418, 825, 952, 942, 14067, 2086, 18994, 323, 13424, 28399, 1038, 942, 14067, 2086, 815, 703, 263, 5503, 14067, 2086, 3418, 1038, 2736, 5897, 2381, 2373, 815, 1205, 28804, 2373, 263, 5503, 14067, 2086, 3418, 327, 2293, 815, 1205, 20189, 2293, 263, 2381, 2373, 314, 271, 29573, 17058, 815, 1205, 5091, 904, 22607, 2293, 314, 271, 29573, 344, 8986, 815, 1205, 5091, 904, 5560, 904, 314, 271, 316, 10142, 2745, 3488, 29551, 2715, 271, 348, 11012, 3264, 7549, 7846, 4709, 28027, 17153, 2715, 272, 348, 1296, 267, 2715, 273, 348, 2395, 267, 2715, 274, 348, 3108, 267, 2715, 275, 348, 1295, 267, 2715, 276, 348, 3813, 8339, 8971, 263, 5503, 14067, 2086, 267, 1296, 314, 271, 3910, 1296, 314, 272, 3910, 2395, 314, 272, 3910, 3108, 314, 272, 3910, 3764, 314, 272, 8079, 10142, 0, 18411, 273, 269, 2843, 510, 3264, 3522, 20434, 13194, 13833, 28476, 17095, 20977, 4736, 4736, 10003, 630, 9686, 18775, 22147, 3522, 1916, 5284, 379, 16417, 9686, 3264, 20434, 31224, 25602, 4344, 23485, 16648, 7846, 4344, 9924, 281, 3259, 630, 9686, 20434, 20265, 1070, 8700, 630, 20732, 4138, 23485, 20265, 11850, 13194, 20265, 10948, 23845, 9326, 25602, 4344, 23485, 16648, 7846, 4344, 13833, 18194, 17201, 21833, 21162, 10780, 3264, 16417, 28027, 8563, 28476, 31502, 10780, 23485, 11012, 5284, 371, 28027, 17221, 4138, 16044, 491, 7549, 13194, 27671, 10528, 31124, 13077, 17095, 20977, 4736, 4736, 3522, 3248, 19277, 23485, 16648, 7846, 4344, 9924, 11012, 9686, 3264, 6459, 28476, 30935, 27569, 4138, 27569, 397, 495, 4709, 21162, 9261, 4138, 3248, 5284, 379, 16417, 9686, 3264, 20434, 31224, 20413, 20046, 19757, 476, 13077, 4736, 10948, 397, 495, 25000, 20413, 3522, 4736, 4736, 9924, 25602, 4736, 32553, 3522, 23783, 25000, 267, 14359, 3264, 29652, 17153, 19757, 4138, 9261, 22147, 3378, 18194, 31124, 10780, 30718, 4814, 9924, 28821, 9326, 11714, 4736, 3264, 13953, 18194, 18775, 22147, 4138, 3248, 25986, 10528, 17201, 9841, 13194, 13833, 28476, 16044, 482, 18775, 9261, 7846, 6459, 7846, 281, 18194, 20434, 20265, 2608, 16044, 486, 4138, 23485, 20265, 2608, 20413, 3522, 4736, 4736, 3522, 25602, 4736, 32553, 3522, 23783, 25000, 18194, 31124, 10780, 30718, 4814, 9924, 28821, 9326, 16068, 9686, 4709, 22147, 3378, 17095, 8563, 269, 20413, 20046, 13077, 18194, 18775, 22147, 4138, 25602, 4736, 32553, 3522, 23783, 4344, 21134, 267, 476, 4344, 17201, 27569, 4138, 4709, 26281, 11714, 476, 272, 11012, 9261, 2608, 24893, 25986, 6459, 3378, 11012, 9261, 476, 4344, 17201, 27569, 4138, 21162, 10780, 17201, 30324, 20265, 3248, 10528, 4814, 13833, 21268, 4138, 31224, 476, 13077, 16648, 30324, 7846, 20413, 20046, 19757, 3522, 563, 396, 507, 3522, 10528, 23485, 9261, 21268, 281, 476, 736, 20413, 265, 4335, 271, 20413, 265, 1839, 17095, 15671, 265, 276, 11012, 9261, 815, 476, 10219, 876, 476, 4344, 563, 18257, 692, 5035, 10003, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 3259, 267, 8700, 2187, 1038, 1582, 11519, 26319, 815, 3259, 454, 1038, 1582, 11519, 12296, 815, 8700, 692, 825, 1219, 18287, 318, 7076, 4311, 267, 649, 603, 267, 11098, 2187, 1038, 2132, 1582, 11519, 26319, 2608, 1582, 11519, 12296, 2608, 649, 603, 2608, 11098, 692, 3240, 318, 5802, 815, 10003, 263, 736, 267, 476, 4335, 271, 994, 2745, 30044, 318, 5802, 269, 5632, 322, 318, 7076, 263, 1839, 267, 476, 276, 4917, 0, 4580, 15481, 815, 476, 276, 692, 3698, 5173, 318, 31371, 321, 2293, 29033, 267, 1699, 318, 7901, 32284, 267, 1699, 318, 7901, 22674, 4379, 2187, 825, 30256, 815, 476, 271, 454, 825, 585, 4737, 16229, 538, 2039, 263, 9690, 318, 7901, 32284, 910, 476, 272, 267, 1699, 318, 7901, 32284, 1341, 476, 273, 2187, 1038, 585, 6241, 16229, 538, 2039, 263, 9690, 318, 7901, 22674, 4379, 910, 476, 272, 267, 1699, 318, 7901, 22674, 4379, 1341, 476, 273, 2187, 2018, 952, 4737, 16229, 2652, 1699, 318, 7901, 32284, 543, 6241, 16229, 2652, 1699, 318, 7901, 22674, 4379, 912, 3546, 3136, 692, 2018, 952, 4604, 314, 992, 16229, 6012, 26383, 16229, 316, 2652, 1412, 271, 12466, 3546, 30256, 6834, 476, 272, 454, 825, 2132, 30256, 692, 3698, 1711, 318, 4580, 29033, 15481, 2187, 825, 4604, 815, 11713, 825, 585, 4737, 538, 2039, 29033, 15481, 2187, 1038, 4737, 815, 11713, 1038, 585, 6241, 538, 2039, 29033, 15481, 2187, 2018, 4737, 6910, 3488, 268, 5073, 1038, 4604, 6910, 21405, 994, 825, 2132, 4604, 692, 3698, 1820, 318, 4580, 29033, 2187, 825, 585, 4737, 538, 4604, 912, 1038, 585, 6241, 538, 4737, 912, 2018, 1820, 263, 26383, 267, 834, 14307, 1439, 284, 3269, 994, 1038, 1820, 2891, 15419, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 4604, 815, 1711, 318, 4580, 29033, 15481, 994, 825, 1820, 318, 4580, 29033, 994, 1038, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 333, 272, 815, 703, 9272, 3488, 11767, 519, 1101, 1297, 29125, 333, 273, 815, 703, 9272, 3488, 11767, 519, 2034, 1297, 10807, 2020, 1721, 1003, 538, 2039, 630, 333, 272, 267, 562, 273, 1341, 272, 2187, 825, 952, 1003, 3436, 272, 912, 1038, 585, 1775, 538, 2039, 630, 273, 267, 1003, 2187, 2018, 952, 630, 11133, 260, 328, 264, 2525, 271, 912, 3546, 2736, 454, 1038, 3116, 912, 3546, 1820, 16325, 264, 0, 5814, 11885, 607, 5286, 7531, 3698, 12337, 5334, 889, 326, 2784, 1304, 318, 2742, 324, 12169, 267, 512, 343, 267, 530, 2187, 825, 5727, 15253, 1393, 513, 1016, 326, 2784, 1304, 540, 519, 10790, 292, 693, 530, 780, 825, 1488, 7714, 912, 1038, 586, 281, 3337, 14352, 301, 267, 12467, 1038, 512, 343, 281, 3337, 14352, 301, 267, 273, 994, 1038, 530, 281, 3337, 14352, 273, 267, 15426, 634, 6152, 540, 2203, 6724, 780, 825, 16849, 912, 1038, 1323, 5044, 540, 3337, 630, 273, 267, 3738, 630, 338, 877, 3337, 607, 530, 1070, 5627, 519, 1016, 326, 2784, 1304, 540, 519, 10790, 292, 693, 530, 563, 825, 8173, 825, 12693, 25663, 28513, 454, 825, 20093, 815, 586, 910, 512, 343, 31715, 26028, 994, 825, 5552, 815, 910, 12639, 31715, 6025, 343, 11053, 267, 5286, 4732, 793, 263, 20482, 4297, 1315, 7003, 263, 20482, 994, 825, 2132, 5552, 267, 20093, 454, 825, 12693, 570, 4932, 12195, 12442, 454, 825, 1948, 1948, 2878, 20594, 20594, 20594, 20330, 825, 1948, 1948, 5442, 306, 12224, 22400, 2910, 14701, 28313, 454, 825, 1948, 1948, 570, 7495, 302, 281, 12337, 1016, 326, 2784, 1304, 13506, 6152, 585, 10790, 292, 454, 825, 1948, 1948, 2878, 20594, 20594, 20594, 20330, 825, 1948, 6318, 3502, 25363, 7757, 13286, 454, 825, 12693, 13673, 291, 25663, 28513, 454, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 18851, 19370, 16847, 476, 273, 780, 306, 1729, 577, 2880, 27240, 1304, 2677, 1417, 454, 12163, 5228, 948, 619, 1104, 16801, 318, 3438, 454, 5228, 3790, 1104, 12337, 9078, 1601, 692, 3698, 12337, 14067, 5255, 14682, 2784, 1304 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1411, 666, 946, 10822, 22811, 338, 547, 1732, 1294, 519, 3877, 540, 1945, 602, 568, 1259, 593, 519, 824, 2427, 540, 519, 4055, 610, 1256, 2066, 513, 2361, 610, 1524, 519, 8265, 563, 2389, 10061, 2100, 1765, 12024, 10822, 22811, 338, 267, 513, 16263, 2306, 2484, 2476, 3615, 4443, 547, 1294, 269, 1809, 513, 16263, 3884, 1406, 1031, 585, 1945, 1524, 519, 8265, 610, 2066, 519, 2361, 269, 898, 779, 1031, 547, 1294, 2484, 883, 2230, 269, 1656, 519, 3677, 543, 811, 5730, 513, 16263, 568, 267, 519, 811, 3877, 543, 1256, 20991, 596, 666, 1294, 269, 634, 1034, 4583, 16263, 568, 519, 26931, 23571, 799, 568, 2965, 1305, 909, 538, 2230, 563, 2173, 2222, 2675, 2100, 1765, 288, 17209, 568, 811, 899, 513, 3172, 4328, 4837, 982, 513, 16263, 269, 898, 13071, 596, 1413, 2731, 2673, 693, 519, 17646, 5006, 5536, 540, 1945, 1318, 538, 4395, 540, 596, 269, 2060, 513, 17209, 267, 596, 666, 1294, 2281, 543, 2890, 268, 13060, 543, 8290, 543, 4551, 543, 782, 12204, 540, 824, 4241, 1919, 563, 3719, 1934, 779, 1945, 602, 568, 1114, 982, 782, 519, 1866, 269, 898, 779, 513, 11604, 269, 1548, 798, 596, 1589, 2306, 513, 11604, 1114, 982, 513, 3172, 4328, 4837, 610, 513, 16263, 286, 2334, 779, 1318, 32503, 1810, 1406, 1413, 693, 1945, 3116, 269, 1411, 1413, 693, 707, 1378, 3239, 538, 513, 11604, 563, 3086, 267, 799, 540, 891, 2645, 666, 649, 946, 547, 1294, 2696, 888, 5445, 2461, 782, 1390, 2081, 547, 1294, 2963, 540, 2696, 23121, 1294, 1018, 2696, 814, 2944, 543, 568, 3257, 269, 1809, 9039, 540, 873, 1397, 596, 2696, 1765, 18034, 519, 11604, 269, 1717, 267, 519, 11604, 1281, 1397, 596, 1945, 1360, 1271, 269, 898, 2982, 596, 519, 3239, 540, 2696, 269, 898, 2982, 596, 519, 3068, 540, 2441, 269, 1656, 596, 666, 1294, 519, 3239, 540, 2696, 543, 519, 3068, 540, 2441, 593, 1169, 1268, 538, 713, 4055, 1765, 22336, 1268, 538, 713, 2749, 1765, 22336, 1268, 538, 713, 1158, 269, 634, 3364, 568, 267, 1034, 1004, 616, 1434, 693, 15720, 602, 3239, 267, 543, 1034, 1004, 5749, 1406, 1360, 1434, 693, 9301, 621, 950, 789, 1294, 621, 563, 3383, 267, 594, 4076, 3893, 835, 811, 1907, 585, 596, 547, 946, 538, 1931, 547, 5431, 2441, 538, 519, 1158, 269, 1411, 917, 1018, 713, 568, 286, 898, 779, 513, 3444, 269, 634, 3444, 19595, 721, 602, 538, 4906, 267, 2696, 729, 1480, 543, 5747, 269, 1809, 621, 849, 19595, 721, 602, 538, 4906, 267, 2696, 711, 1152, 5747, 1765, 18661, 4810, 3388, 649, 1995, 281, 2696, 5030, 269, 2696, 6068, 543, 11124, 543, 561, 13774, 1117, 543, 546, 2331, 543, 524, 3072, 269, 2696, 3893, 21616, 543, 2696, 729, 14281, 543, 29014, 269, 1924, 267, 950, 596, 1413, 538, 519, 11604, 11652, 950, 596, 1413, 693, 824, 1004, 1765, 296, 1616, 596, 547, 3314, 602, 596, 2461, 3168, 693, 519, 3068, 540, 2441, 9789, 3239, 540, 2696, 269, 1411, 2461, 3168, 693, 2576, 945, 568, 865, 6068, 676, 2696, 602, 2696, 4941, 547, 581, 513, 851, 540, 3388, 649, 1995, 563, 4131, 779, 7281, 269, 11289, 596, 267, 2696, 267, 585, 6679, 519, 4064, 540, 938, 12271, 547, 1294, 596, 538, 782, 540, 5137, 267, 2523, 538, 6000, 543, 835, 1776, 269, 17546, 721, 547, 1521, 1866, 609, 519, 8296, 543, 1416, 596, 723, 585, 707, 1004, 267, 538, 519, 2012, 540, 2441, 269, 2549, 523, 563, 9213, 779, 1650, 540, 15656, 5956, 676, 6031, 267, 968, 763, 2262, 540, 519, 7083, 729, 4686, 538, 1346, 2395, 282, 22649, 941, 711, 7839, 269, 1656, 693, 602, 942, 18379, 267, 4171, 32416, 1185, 13175, 547, 1332, 3897, 865, 602, 646, 1223, 711, 1294, 267, 729, 14084, 1524, 538, 1010, 4055, 282, 519, 17689, 540, 2696, 1185, 711, 2943, 8854, 856, 3034, 763, 2262, 540, 2696, 729, 4686, 1317, 1004, 1185, 11074, 6947, 269, 966, 2888, 941, 4686, 1317, 1004, 1185, 6806, 741, 4064, 547, 2696, 543, 2696, 779, 3483, 585, 873, 269, 4634, 18379, 1765, 31850, 1227, 9420, 1765, 13195, 849, 32375, 9420, 269, 3571, 1378, 14930, 941, 27560, 689, 519, 5356, 267, 543, 646, 5828, 513, 9420, 3750, 547, 741, 2081, 269, 20644, 902, 538, 519, 11454, 14201, 1406, 2724, 855, 9384, 4716, 2831, 269, 634, 5779, 729, 1287, 5423, 585, 519, 4057, 547, 3548, 269, 1809, 519, 14930, 540, 18379, 267, 519, 17308, 267, 941, 5329, 519, 3903, 11912, 585, 2933, 1765, 4614, 2718, 689, 519, 4057, 547, 20662, 880, 741, 1378, 11350, 625, 563, 4517, 2943, 267, 621, 3081, 267, 519, 17689, 540, 2696, 1185, 711, 2943, 8854, 856, 269, 898, 4016, 547, 519, 3781, 2775, 6854, 1396, 2394, 21554, 28559, 594, 1589, 621, 4422, 4514, 982, 602, 267, 607, 1134, 269, 1703, 729, 1869, 4126, 269, 1703, 729, 1869, 606, 3239, 9800, 540, 1018, 2696, 1223, 798, 269, 1924, 267, 2696, 1572, 15656, 267, 513, 18864, 4819, 6131, 547, 519, 3028, 540, 519, 11454, 1317, 1010, 3158, 729, 18507, 602, 2696, 1185, 25552, 1200, 609, 513, 1126, 269, 1261, 729, 519, 835, 2696, 8359, 269, 1809, 519, 5048, 646, 729, 547, 5838, 547, 18379, 729, 602, 18379, 779, 5718, 729, 936, 269, 15656, 1131, 723, 547, 2995, 1010, 1378, 21927, 543, 3659, 602, 2696, 729, 737, 10107, 1864, 856, 540, 519, 11454, 1317, 646, 22821, 1406, 2944, 1010, 2816, 269, 1261, 22821, 1406, 9275, 909, 1996, 9409, 269, 1261, 22821, 1406, 6870, 519, 7925, 269, 1261, 22821, 1406, 11542, 909, 547, 1346, 945, 31345, 519, 4057, 269, 1261, 22821, 1406, 11074, 1010, 1378, 14930, 689, 705, 6748, 741, 1747, 540, 17979, 269, 1656, 15656, 1131, 723, 547, 2995, 1864, 519, 5168, 540, 1018, 2696, 4718, 563, 2171, 267, 1932, 267, 3112, 2611, 14980, 950, 519, 3239, 540, 2696, 538, 1866, 568, 17792, 269, 3776, 4064, 1590, 581, 8118, 267, 938, 12271, 8118, 267, 938, 3946, 8118, 267, 938, 10772, 8118, 267, 543, 1152, 1287, 666, 649, 1930, 938, 28182, 543, 605, 8010, 2696, 779, 6478, 563, 1607, 2250, 3018, 7436, 519, 476, 279, 628, 16683, 540, 519, 2669, 540, 513, 11537, 3659, 540, 519, 30798, 1765, 13051, 700, 1513, 517, 269, 1261, 729, 513, 5033, 2435, 2875, 267, 5063, 9310, 267, 543, 1185, 24009, 1010, 22631, 1222, 942, 1934, 693, 3776, 14205, 21831, 779, 538, 476, 1220, 279, 268, 1220, 280, 269, 1261, 729, 513, 5039, 531, 22459, 543, 7184, 8149, 4168, 269, 1261, 4547, 7772, 547, 782, 646, 11402, 563, 12988, 693, 5033, 2435, 585, 1010, 3803, 1032, 540, 1353, 267, 646, 543, 1010, 7385, 11412, 2465, 543, 1010, 23013, 3627, 6170, 741, 808, 31645, 538, 27425, 267, 2324, 543, 2713, 7258, 20951, 1014, 8695, 11324, 4240, 689, 8474, 269, 3487, 3118, 998, 741, 942, 972, 267, 519, 3618, 3459, 547, 21199, 269, 769, 519, 1439, 267, 11412, 2465, 543, 5484, 779, 23013, 3627, 1131, 9101, 269, 5484, 1131, 711, 269, 1261, 6170, 1010, 2063, 3764, 896, 519, 6299, 1076, 540, 853, 269, 9478, 779, 5851, 585, 27258, 13465, 540, 2696, 779, 2648, 1765, 3286, 2614, 547, 2709, 4708, 547, 1010, 6068, 3283, 945, 1223, 5873, 1864, 855, 7948, 1406, 3914, 1864, 269, 1261, 3838, 519, 3239, 540, 2696, 609, 1866, 267, 1256, 547, 519, 1360, 1439, 563, 6546, 1554, 267, 713, 30798, 575, 7205, 513, 5067, 267, 513, 3659, 267, 543, 513, 2104, 2250, 528, 269, 4653, 267, 649, 20494, 557, 27742, 602, 2303, 519, 1004, 602, 5484, 6068, 616, 2370, 1732, 982, 2831, 543, 6157, 711, 4502, 519, 942, 540, 1554, 269, 27425, 543, 2477, 540, 4000, 543, 3162, 3013, 941, 5219, 547, 607, 1765, 933, 3580, 946, 519, 2165, 1765, 8072, 560, 1074, 685, 32440, 563, 1607, 3884, 1406, 1018, 594, 1185, 5497, 547, 840, 778, 2221, 269, 1809, 621, 22179, 8185, 267, 543, 1945, 1590, 581, 1767, 269, 6145, 15656, 267, 649, 1590, 3717, 5168, 547, 1018, 649, 1294, 23121, 1018, 649, 14353, 2696, 12034, 269, 1656, 2696, 12034, 519, 5168, 827, 721, 1765, 718, 540, 721, 563, 9213, 779, 22258, 8574, 6238, 856, 6031, 602, 4906, 4682, 547, 22191, 324, 543, 1336, 17722, 269, 2991, 602, 267, 17722, 8255, 547, 715, 987, 3570, 601, 6031, 267, 968, 2171, 4076, 1336, 519, 835, 15584, 543, 519, 28556, 12038, 540, 17373, 27016, 1765, 15367, 1336, 7247, 286, 1656, 715, 987, 3570, 601, 3081, 267, 968, 296, 8969, 621, 269, 2052, 4376, 1434, 2097, 540, 519, 588, 1074, 8559, 1572, 9294, 732, 628, 18313, 22818, 596, 666, 1406, 16620, 715, 987, 3570, 601, 1932, 1454, 269, 3571, 729, 513, 1158, 3710, 1472, 1697, 1747, 267, 2486, 267, 17847, 267, 543, 11348, 269, 769, 1249, 267, 519, 4704, 547, 1864, 1373, 896, 519, 4453, 3529, 568, 835, 602, 5921, 646, 729, 4974, 519, 22560, 1354, 17722, 3357, 2059, 269, 1261, 729, 1134, 268, 951, 539, 538, 519, 4521, 543, 1018, 547, 2503, 540, 2696, 11652, 1394, 6229, 338, 8821, 3672, 1185, 1100, 1747, 538, 519, 1650, 1765, 520, 2547, 2687, 547, 1864, 269, 1261, 729, 3274, 17548, 875, 1919, 941, 563, 3719, 646, 729, 5828, 1472, 607, 4166, 607, 4906, 3459, 6340, 269, 968, 8489, 798, 596, 1205, 547, 917, 803, 9495, 646, 4280, 269, 4906, 3081, 267, 968, 296, 6785, 596, 1354, 596, 1256, 4862, 1250, 2012, 269, 594, 6785, 596, 950, 596, 1152, 2219, 596, 6956, 519, 22560, 269, 769, 1249, 267, 594, 6785, 596, 1354, 707, 1378, 3993, 1705, 1848, 594, 6557, 30996, 5109, 12544, 3787, 269, 634, 1448, 568, 267, 2696, 568, 538, 938, 22984, 543, 6487, 721, 1354, 649, 917, 6000, 11652, 6157, 1354, 649, 666, 1256, 3409, 547, 917, 2696, 269, 2696, 6487, 938, 12271, 1354, 649, 3442, 1434, 610, 3983, 269, 2696, 6487, 938, 9620, 543, 938, 3675, 903, 1354, 789, 1256, 1831, 7399, 269, 2696, 6487, 1317, 2696, 568, 972, 563, 18661, 568, 972, 24568, 519, 6299, 1076, 540, 1272, 2879, 4428, 539, 856, 1932, 3533, 269, 2696, 568, 972, 538, 519, 588, 1074, 23346, 10034, 543, 2477, 14460, 676, 519, 3638, 543, 688, 7676, 1399, 269, 2696, 568, 972, 1851, 519, 4057, 543, 4617, 543, 17237, 543, 4503, 269, 2696, 568, 609, 1346, 593, 7247, 649, 29746, 938, 588, 1074, 950, 649, 1589, 1100, 835, 568, 3168, 269, 1656, 2696, 568, 972, 267, 6340, 513, 2262, 540, 4126, 547, 519, 27945, 1765, 327, 2100, 7854, 539, 676, 513, 5075, 540, 519, 10806, 538, 799, 519, 13103, 540, 713, 1158, 616, 1100, 811, 282, 538, 799, 519, 13032, 625, 723, 1044, 4547, 1524, 543, 519, 22800, 3144, 689, 741, 16295, 540, 1379, 563, 18661, 568, 1851, 519, 588, 1074, 1317, 2696, 814, 6074, 519, 3444, 1657, 519, 13862, 563, 296, 8910, 899, 585, 596, 782, 547, 1796, 267, 952, 596, 786, 267, 543, 1413, 1472, 693, 519, 8188, 543, 1004, 538, 713, 4055, 1318, 1631, 269, 1703, 949, 581, 2576, 1934, 596, 1810, 1406, 917, 282, 2576, 596, 1810, 1406, 3226, 899, 610, 2463, 282, 2576, 596, 1810, 1406, 1174, 282, 2576, 596, 6999, 547, 917, 1732, 269, 6733, 4514, 693, 891, 8188, 269, 2052, 596, 1294, 519, 1928, 789, 4076, 4810, 538, 1272, 286, 634, 2530, 789, 4076, 11124, 286, 634, 25922, 789, 4076, 28815, 888, 16100, 6251, 269, 2052, 596, 1294, 519, 13922, 12617, 896, 519, 6299, 1076, 286, 634, 31300, 518, 540, 2648, 7996, 547, 581, 2186, 1194, 286, 634, 7399, 543, 1761, 11319, 693, 519, 19235, 888, 16100, 1256, 6251, 269, 2052, 596, 1294, 519, 3068, 540, 2441, 286, 20951, 2103, 543, 7439, 933, 326, 2103, 282, 20338, 543, 16586, 282, 14447, 543, 2786, 282, 4057, 543, 3638, 282, 6964, 543, 32014, 282, 2025, 543, 1762, 9789, 3068, 540, 2441, 568, 29501, 539, 593, 1169, 2582, 1480, 1373, 538, 713, 1158, 269, 1879, 2696, 5654, 693, 596, 543, 596, 543, 596, 2507, 18661, 12034, 2696, 779, 1126, 267, 2696, 779, 5067, 543, 8250, 269, 2696, 685, 11537, 269, 2696, 12034, 2441, 563, 303, 770, 528, 570, 11893, 6519, 454, 5978, 14205, 21831, 779, 13162, 534, 5783, 0, 1607, 1808, 9768, 7160, 568, 4867, 711, 2139, 24707, 782, 12215, 540, 713, 9768, 7160, 912, 763, 18321, 674, 4288, 595, 622, 577, 626, 6651, 533, 698, 1588, 13292, 519, 2875, 1433, 2985, 16519, 22240, 267, 609, 3450, 1257, 585, 782, 1543, 538, 519, 2875, 1433, 269, 634, 524, 622, 577, 626, 3391, 2882, 7899, 540, 29433, 1344, 547, 948, 524, 622, 577, 1235, 5965, 585, 3450, 519, 4245, 267, 609, 3606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 303, 9613, 569, 17214, 538, 519, 7330, 1977, 4469, 4711, 2282, 674, 1251, 1633, 9338, 476, 3607, 278, 2412, 454, 288, 3084, 1129, 602, 4422, 676, 519, 4408, 968, 763, 25578, 543, 22367, 6647, 5608, 968, 24874, 3794, 800, 5608, 543, 849, 968, 763, 10060, 4149, 335, 22931, 14465, 1676, 5608, 519, 1977, 9206, 568, 835, 540, 519, 3810, 1134, 8153, 6698, 538, 519, 8608, 2221, 269, 634, 1977, 25035, 568, 519, 3791, 9510, 540, 519, 2817, 11621, 540, 519, 8608, 1107, 4587, 982, 519, 5742, 10793, 540, 6628, 610, 519, 570, 878, 565, 528, 540, 5333, 563, 8005, 1500, 519, 1977, 25035, 888, 6097, 547, 7986, 8941, 267, 519, 1101, 1977, 9206, 729, 694, 14954, 676, 645, 1115, 344, 17664, 267, 513, 15740, 9378, 560, 816, 945, 729, 606, 29872, 766, 540, 6723, 6115, 269, 769, 2904, 476, 10082, 277, 267, 865, 519, 9661, 4422, 267, 4937, 6115, 543, 849, 476, 273, 13222, 689, 519, 25550, 6837, 4682, 547, 17664, 693, 1200, 15081, 565, 20712, 4558, 543, 7000, 547, 1200, 513, 11315, 11768, 540, 519, 9206, 269, 4014, 6115, 7620, 9053, 1210, 513, 5182, 609, 3670, 2798, 267, 17664, 15469, 585, 513, 2947, 15304, 539, 5182, 267, 799, 1223, 581, 2759, 609, 1175, 835, 3728, 2879, 760, 540, 519, 23805, 267, 543, 519, 9543, 5443, 941, 4465, 936, 269, 16024, 2103, 723, 711, 1044, 2111, 547, 13182, 713, 8390, 540, 14026, 563, 1103, 476, 10082, 278, 267, 519, 25550, 6837, 5293, 606, 957, 602, 3177, 938, 2197, 513, 1292, 9206, 269, 769, 1346, 2395, 267, 519, 9206, 729, 711, 519, 899, 649, 1294, 621, 2221, 269, 1306, 10353, 547, 519, 476, 2004, 3043, 6801, 538, 519, 2361, 540, 4544, 267, 972, 729, 513, 5858, 540, 476, 1724, 3043, 6801, 547, 1796, 585, 519, 476, 1724, 10125, 269, 634, 957, 7150, 267, 968, 4910, 9407, 267, 602, 519, 9206, 540, 519, 2136, 2276, 581, 24369, 26145, 267, 14595, 2699, 607, 1134, 607, 3043, 282, 602, 519, 5742, 581, 24369, 6801, 267, 3043, 538, 513, 4544, 1858, 267, 7555, 585, 513, 6216, 20642, 26424, 3034, 1432, 1281, 519, 1977, 25035, 1796, 585, 888, 763, 9206, 1101, 9782, 936, 24369, 2829, 2059, 519, 9533, 5032, 267, 609, 513, 2551, 540, 930, 1614, 2929, 2043, 269, 4653, 621, 13733, 936, 15823, 2829, 267, 14178, 2066, 519, 11782, 267, 543, 936, 1390, 10195, 540, 519, 476, 273, 12084, 282, 543, 6634, 28297, 621, 17185, 563, 763, 9206, 568, 7768, 540, 476, 1724, 20367, 2699, 607, 1134, 607, 3043, 8880, 26145, 7555, 585, 519, 3355, 24369, 3703, 2950, 602, 29064, 5191, 689, 519, 8003, 540, 4279, 6628, 267, 543, 2968, 519, 3355, 2829, 538, 519, 2475, 269, 901, 4544, 4087, 540, 519, 9206, 568, 1572, 519, 5742, 563, 763, 2495, 540, 519, 25035, 267, 607, 7150, 676, 6115, 281, 968, 2171, 1491, 519, 6801, 689, 24656, 267, 519, 2699, 689, 938, 3993, 2197, 267, 19459, 621, 676, 3043, 26145, 267, 3976, 13031, 602, 649, 723, 9674, 689, 1200, 267, 543, 519, 3043, 2699, 26145, 4927, 6749, 547, 16968, 640, 8204, 23068, 3034, 2005, 1651, 7568, 919, 585, 782, 18495, 519, 6891, 540, 15698, 607, 1134, 607, 519, 7415, 4998, 540, 1480, 15698, 282, 711, 519, 5191, 540, 19727, 571, 842, 610, 519, 5191, 540, 12689, 267, 855, 513, 3982, 4998, 540, 3160, 4316, 11014, 267, 5191, 543, 519, 3406, 540, 8788, 267, 9856, 539, 676, 519, 29523, 543, 3138, 11998, 3741, 540, 4305, 267, 540, 18813, 640, 543, 540, 5126, 267, 543, 849, 2009, 676, 24150, 547, 1582, 21553, 12723, 6042, 563, 2005, 23327, 519, 4644, 540, 18541, 269, 4706, 6891, 568, 519, 6891, 540, 519, 1977, 4182, 269, 4706, 4282, 568, 519, 4282, 540, 519, 1977, 1004, 269, 700, 4660, 856, 593, 922, 26642, 538, 5022, 540, 2713, 1769, 616, 519, 4408, 543, 849, 8560, 540, 938, 12703, 4666, 267, 519, 12429, 338, 540, 519, 6243, 602, 8149, 1310, 922, 5621, 1513, 741, 2729, 267, 741, 6830, 17480, 607, 1134, 607, 741, 5289, 8956, 269, 3828, 823, 5143, 8941, 540, 3084, 8956, 543, 849, 26672, 528, 12440, 8185, 827, 621, 269, 17451, 4619, 16124, 267, 621, 814, 7153, 15112, 11244, 689, 476, 279, 5140, 18487, 2042, 269, 898, 24363, 693, 7203, 520, 690, 267, 693, 3840, 26165, 267, 693, 6022, 334, 1325, 1729, 267, 693, 5192, 339, 903, 7921, 267, 693, 2494, 10042, 15922, 267, 693, 932, 622, 879, 268, 1320, 1512, 787, 267, 693, 594, 6851, 808, 9874, 269, 898, 9727, 547, 519, 16854, 1646, 540, 938, 3084, 10665, 267, 519, 1646, 540, 938, 2067, 2200, 267, 543, 519, 15999, 5943, 540, 938, 1158, 269, 898, 23004, 519, 11802, 540, 2442, 2229, 267, 540, 18523, 543, 849, 3909, 5191, 543, 540, 3084, 32660, 2429, 519, 8608, 563, 3963, 568, 519, 1977, 25035, 1271, 547, 1977, 2486, 888, 763, 1977, 9206, 568, 5393, 4105, 1317, 621, 23327, 519, 4830, 5313, 2229, 607, 3989, 896, 519, 2136, 2276, 9139, 269, 634, 9206, 10123, 19752, 519, 1585, 10781, 540, 519, 4182, 607, 1134, 607, 519, 11348, 540, 922, 1004, 563, 1607, 18487, 12835, 1443, 2478, 2043, 267, 711, 1175, 538, 519, 9338, 1533, 267, 855, 2429, 519, 3003, 7330, 3823, 519, 1114, 1271, 2609, 540, 519, 16672, 540, 14412, 269, 898, 568, 711, 1175, 513, 2241, 12835, 267, 799, 1797, 519, 5191, 607, 1134, 607, 3656, 2924, 540, 4892, 269, 4469, 334, 908, 689, 519, 3138, 11998, 533, 4883, 12386, 540, 1977, 4998, 1143, 267, 621, 568, 513, 1129, 540, 11972, 4126, 563, 2005, 568, 519, 16315, 1500, 7298, 540, 519, 2178, 6891, 602, 814, 4547, 5191, 543, 849, 1967, 547, 519, 9082, 540, 3013, 269, 898, 568, 519, 9206, 540, 782, 721, 7567, 269, 2913, 721, 11063, 621, 5431, 543, 849, 14017, 563, 8489, 666, 594, 6718, 1977, 4469, 4711, 888, 2791, 7654, 2907, 8068, 713, 267, 2705, 972, 616, 513, 1390, 4308, 540, 4025, 1141, 596, 1223, 1205, 1977, 17514, 269, 898, 568, 4105, 547, 1832, 538, 2247, 602, 519, 9206, 596, 2461, 2469, 547, 1205, 1058, 581, 968, 300, 1228, 538, 7330, 269, 1703, 616, 2789, 21527, 4171, 17514, 616, 9286, 607, 1500, 538, 3624, 267, 543, 10760, 513, 3624, 13402, 1977, 9206, 1175, 3085, 1406, 1118, 1454, 2631, 267, 1281, 621, 888, 17780, 2390, 28135, 267, 4892, 6108, 936, 476, 276, 269, 274, 2929, 9489, 593, 16865, 17514, 21496, 1107, 513, 2603, 540, 799, 616, 1500, 538, 3624, 269, 31598, 1454, 811, 23892, 568, 602, 1282, 476, 1220, 272, 267, 538, 519, 5951, 540, 32742, 602, 18233, 936, 3013, 1310, 476, 280, 270, 1556, 267, 4892, 3893, 1269, 7367, 2929, 2475, 9489, 538, 16865, 17514, 269, 634, 9206, 1590, 21843, 519, 1973, 267, 17570, 267, 543, 849, 17229, 540, 1977, 1004, 945, 4547, 713, 4182, 883, 6228, 267, 711, 938, 967, 20623, 1540, 1145, 547, 3624, 543, 849, 519, 3170, 1275, 540, 519, 1977, 5663, 2872, 563, 763, 9206, 19752, 18487, 5191, 543, 849, 7986, 16285, 269, 898, 568, 711, 519, 9206, 540, 513, 15194, 7622, 610, 10424, 2777, 267, 855, 540, 519, 6634, 1863, 1004, 7143, 4765, 883, 513, 2197, 267, 835, 543, 849, 967, 643, 14548, 267, 8087, 711, 1152, 676, 2146, 540, 1719, 267, 2943, 676, 2629, 9322, 540, 3661, 543, 3483, 282, 513, 2197, 21630, 585, 519, 2312, 1367, 8226, 540, 922, 7264, 7567, 540, 741, 13800, 543, 849, 741, 22864, 267, 741, 9021, 543, 741, 3540, 23118, 563, 5970, 513, 2370, 11348, 267, 11522, 909, 513, 1906, 811, 536, 15085, 267, 543, 4444, 606, 1977, 9206, 1500, 676, 4892, 538, 519, 7330, 454, 293, 1251, 1633, 2098, 7709, 9479, 649, 4196, 281, 476, 3607, 278, 2412, 0, 12552, 547, 6276, 645, 269, 17833, 518, 269, 1452, 9115, 616, 519, 3959, 540, 519, 2278, 543, 616, 25735, 689, 3312, 1510, 519, 2278, 781, 2769, 9844, 1317, 540, 4023, 946, 543, 4570, 3872, 5301, 563, 263, 2704, 6495, 2052, 322, 686, 1040, 9282, 7345, 518, 781, 24488, 5182, 267, 3600, 889, 839, 267, 693, 25861, 8772, 9588, 630, 275, 269, 1839, 1070, 16034, 1152, 8772, 538, 519, 26424, 9435, 267, 1310, 29530, 630, 2704, 20579, 325, 1070, 18647, 630, 288, 8688, 639, 3851, 529, 1070, 1256, 594, 7974, 267, 4440, 1317, 540, 922, 2990, 607, 513, 7013, 804, 1177, 540, 519, 18477, 26029, 269, 634, 5182, 781, 2012, 267, 799, 621, 2965, 8843, 609, 513, 7187, 804, 1177, 630, 296, 7974, 1070, 568, 6508, 689, 606, 12428, 2262, 602, 1797, 1175, 602, 267, 834, 1492, 804, 1177, 2437, 543, 568, 519, 1482, 3597, 689, 799, 568, 6508, 519, 2012, 2098, 889, 523, 601, 2102, 889, 328, 630, 2704, 6495, 8644, 571, 324, 13211, 1492, 5182, 602, 4564, 519, 7013, 804, 1177, 540, 2480, 23705, 3780, 269, 3600, 889, 839, 267, 476, 11260, 1769, 1296, 2476, 267, 568, 1945, 540, 513, 9814, 269, 1530, 655, 5944, 513, 2241, 3043, 1362, 589, 630, 288, 276, 264, 5182, 267, 922, 8552, 10525, 16600, 268, 17641, 4726, 6877, 540, 1880, 8407, 602, 1118, 621, 513, 834, 5471, 28351, 1899, 257, 610, 834, 8649, 257, 5182, 269, 5450, 28351, 1899, 6801, 616, 3335, 9244, 8476, 538, 2609, 899, 13058, 267, 1193, 2632, 1756, 267, 1990, 597, 935, 1756, 267, 536, 10740, 543, 1866, 269, 634, 7613, 568, 513, 2627, 1198, 538, 799, 930, 2609, 16173, 547, 2539, 6106, 896, 519, 2962, 540, 8904, 267, 1247, 1866, 4473, 267, 14593, 16057, 676, 5982, 269, 1677, 581, 971, 26947, 15116, 6801, 267, 789, 1590, 17967, 7444, 267, 971, 602, 519, 2627, 9362, 616, 711, 13489, 1042, 909, 269, 4147, 589, 6801, 4043, 547, 17967, 3533, 2705, 267, 865, 972, 1058, 581, 23646, 7271, 267, 799, 585, 519, 2549, 6801, 568, 5918, 13109, 630, 26421, 9117, 22619, 958, 547, 3500, 519, 824, 1040, 3600, 889, 839, 267, 1498, 267, 29226, 811, 3533, 982, 8912, 630, 520, 2547, 476, 6924, 12919, 829, 2034, 693, 519, 20337, 1040, 898, 568, 267, 2705, 267, 513, 5595, 5182, 269, 898, 568, 2673, 2614, 547, 519, 17772, 328, 10364, 7077, 602, 519, 9855, 12212, 10596, 936, 543, 1624, 6699, 621, 269, 25578, 7363, 530, 1074, 856, 1360, 3533, 950, 519, 9855, 6227, 873, 282, 3600, 889, 839, 530, 22075, 856, 7466, 267, 6029, 602, 621, 5161, 540, 1079, 9838, 6801, 1152, 476, 271, 269, 272, 7643, 540, 9095, 630, 276, 269, 274, 24666, 4559, 264, 6306, 269, 3962, 568, 27229, 513, 21221, 2549, 5182, 609, 5595, 519, 2527, 540, 519, 6129, 267, 1142, 26124, 609, 476, 2537, 3859, 24788, 657, 885, 269, 9717, 519, 13999, 543, 9668, 267, 789, 1058, 10739, 1142, 824, 1169, 476, 277, 269, 272, 1296, 269, 26681, 666, 581, 5806, 3990, 689, 519, 824, 267, 2705, 269, 5047, 267, 3600, 889, 839, 568, 711, 1175, 5595, 267, 855, 22712, 745, 921, 269, 18479, 1597, 7643, 540, 9095, 2476, 568, 513, 476, 1321, 628, 9588, 13959, 602, 568, 594, 4811, 23852, 5595, 4534, 827, 782, 602, 568, 1634, 540, 621, 269, 1403, 519, 1079, 616, 9838, 267, 1312, 1131, 581, 3897, 1362, 631, 546, 8705, 12028, 269, 9484, 541, 730, 676, 693, 2547, 476, 7785, 24666, 4559, 267, 519, 25861, 6292, 1590, 1491, 693, 2547, 476, 30697, 271, 1296, 547, 10739, 519, 6505, 6292, 630, 6518, 689, 519, 25861, 6292, 1131, 2408, 827, 607, 2484, 6306, 607, 519, 16070, 8006, 540, 519, 2407, 9855, 1040, 0, 26589, 609, 6402, 547, 8874, 12649, 538, 23555, 32238, 543, 606, 558, 773, 1863, 3594, 606, 558, 773, 630, 270, 562, 544, 1775, 1315, 264, 568, 513, 269, 31280, 5751, 30363, 676, 786, 16994, 534, 630, 1729, 13173, 3505, 7815, 1299, 1085, 2714, 267, 15257, 476, 274, 324, 264, 2110, 1557, 2055, 281, 2203, 4267, 512, 21669, 3505, 322, 269, 14430, 910, 9236, 519, 2035, 540, 606, 558, 773, 543, 32238, 269, 10749, 1644, 547, 606, 558, 773, 476, 272, 1934, 19320, 666, 581, 6537, 1063, 2261, 343, 781, 32238, 543, 606, 558, 773, 4547, 2390, 676, 3665, 2604, 593, 606, 1367, 563, 12892, 5872, 476, 1960, 276, 519, 4967, 1683, 606, 7650, 543, 3594, 32238, 543, 606, 558, 773, 1863, 3594, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 269, 634, 606, 558, 773, 11546, 341, 5050, 2623, 4276, 281, 32238, 519, 2009, 2487, 3815, 602, 3366, 803, 547, 14719, 622, 519, 6249, 540, 713, 1557, 269, 634, 3483, 540, 713, 1957, 568, 547, 5659, 519, 1079, 2035, 540, 32238, 543, 606, 558, 773, 543, 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 ]
[ 540, 519, 4346, 267, 1256, 922, 2528, 269, 15474, 1764, 15474, 1764, 540, 14051, 538, 3567, 2882, 519, 4473, 538, 4346, 269, 901, 568, 1813, 547, 21992, 618, 538, 2029, 634, 563, 297, 3253, 779, 30222, 1184, 666, 581, 9763, 607, 513, 14051, 1184, 607, 1134, 269, 3567, 779, 10073, 540, 3864, 22030, 8507, 538, 2698, 10969, 566, 540, 1312, 519, 2197, 543, 1082, 2757, 2418, 269, 11374, 2622, 2782, 4083, 267, 3567, 7550, 930, 3345, 1977, 2418, 269, 1703, 723, 1044, 3833, 513, 1906, 15372, 1235, 945, 19230, 5545, 602, 5545, 11711, 12025, 281, 22995, 269, 623, 261, 294, 3567, 281, 4787, 16927, 328, 32501, 9293, 1923, 476, 276, 9664, 269, 3375, 593, 1699, 2200, 543, 7207, 547, 3927, 2226, 20656, 269, 769, 7421, 519, 1614, 3681, 540, 4457, 7269, 267, 3864, 5066, 13050, 267, 543, 2417, 2208, 540, 5545, 2344, 267, 623, 261, 294, 1058, 3136, 547, 13404, 922, 3646, 538, 3567, 547, 2417, 23309, 543, 1332, 922, 2671, 630, 21671, 476, 274, 260, 540, 513, 1269, 1015, 5479, 5898, 2344, 1916, 300, 14709, 7720, 976, 6909, 1433, 540, 3834, 2254, 1143, 454, 8234, 543, 10304, 540, 519, 19366, 1126, 454, 15933, 3106, 543, 2298, 454, 293, 3757, 8619, 529, 22007, 844, 517, 682, 1612, 548, 454, 17504, 476, 278, 585, 8837, 476, 4817, 454, 2414, 2278, 1125, 11601, 540, 3959, 585, 606, 3486, 4099, 563, 22437, 2114, 267, 9967, 540, 11430, 4459, 4773, 267, 8941, 267, 12461, 625, 267, 1299, 322, 454, 4614, 600, 2083, 2137, 540, 2871, 836, 323, 784, 267, 476, 6942, 273, 268, 4489, 273, 454, 763, 631, 3916, 2513, 574, 2692, 10326, 454, 8967, 20672, 601, 6199, 29564, 269, 14594, 689, 519, 19608, 1849, 17064, 540, 519, 7040, 540, 28787, 338, 23142, 513, 5299, 540, 519, 4681, 19429, 676, 519, 5480, 538, 519, 2013, 540, 1975, 20672, 601, 6199, 29564, 267, 1996, 519, 2136, 2276, 563, 8266, 540, 13344, 543, 12074, 563, 305, 12578, 903, 4824, 705, 659, 639, 454, 22826, 540, 519, 3993, 11469, 543, 519, 7489, 2146, 454, 763, 2347, 6014, 3434, 1504, 281, 538, 13076, 609, 519, 6014, 8192, 4031, 454, 9928, 25333, 543, 2093, 454, 257, 12626, 538, 3567, 538, 519, 16527, 540, 32501, 786, 9029, 547, 5640, 689, 513, 2647, 2039, 540, 10459, 267, 1519, 4294, 23316, 267, 2518, 2090, 543, 5545, 2090, 563, 2005, 2306, 513, 1713, 9295, 547, 606, 6932, 1560, 540, 3332, 630, 324, 3052, 269, 26081, 5341, 543, 8895, 534, 267, 3738, 602, 811, 8308, 20186, 519, 14960, 543, 10848, 540, 4207, 3567, 781, 10409, 14498, 563, 257, 12626, 538, 3567, 538, 519, 16527, 540, 32501, 786, 9029, 547, 5640, 689, 513, 2647, 2039, 540, 10459, 267, 1519, 4294, 23316, 267, 2518, 2090, 543, 5545, 2090, 269, 898, 2306, 513, 1713, 9295, 547, 606, 6932, 1560, 540, 3332, 630, 324, 3052, 269, 26081, 5341, 543, 8895, 534, 267, 3738, 602, 811, 8308, 20186, 519, 14960, 543, 10848, 540, 4207, 3567, 781, 10409, 14498, 269, 276, 270, 276, 263, 272, 1916, 10666, 713, 1433, 269, 4985, 269, 31327, 5640, 538, 519, 2361, 4983, 519, 1909, 5129, 676, 519, 2296, 1893, 538, 4207, 5545, 2486, 269, 4256, 1585, 11271, 3382, 519, 2470, 267, 4567, 267, 543, 1599, 540, 2296, 538, 3567, 267, 2519, 593, 519, 2081, 538, 799, 14051, 568, 12018, 1893, 2853, 538, 519, 2197, 563, 1607, 1433, 27180, 519, 2078, 1063, 2296, 543, 2123, 543, 3084, 1646, 538, 519, 5736, 540, 14051, 563, 2005, 9607, 519, 2360, 602, 519, 2799, 946, 540, 2296, 543, 519, 13319, 540, 2296, 25082, 2069, 616, 2348, 538, 11095, 8658, 267, 543, 741, 1764, 593, 6626, 3872, 2152, 563, 12626, 538, 3567, 538, 519, 16527, 540, 32501, 269, 17722, 590, 792, 613, 656, 630, 539, 4700, 6022, 6588, 557, 269, 5839, 17524, 534, 267, 623, 335, 281, 343, 10030, 8161, 269, 5623, 539, 676, 9149, 2473, 514, 29258, 4139, 5525, 2160, 267, 29258, 267, 3624, 563, 1607, 4320, 568, 606, 2502, 1840, 547, 519, 1560, 540, 14172, 799, 12116, 519, 5051, 2518, 1242, 2470, 540, 2296, 269, 3883, 5623, 281, 2296, 538, 3567, 538, 519, 16527, 540, 32501, 269, 15316, 2152, 3238, 538, 519, 18236, 543, 29159, 540, 2296, 538, 3567, 616, 5941, 267, 971, 607, 1053, 262, 543, 3610, 262, 4978, 827, 2296, 3450, 538, 3567, 267, 11776, 267, 4763, 543, 1893, 2069, 538, 3567, 267, 2296, 607, 606, 3486, 1893, 630, 292, 6579, 264, 543, 2048, 30153, 2296, 8730, 609, 519, 3804, 540, 5009, 1382, 593, 14051, 540, 2296, 1893, 538, 5607, 543, 519, 8191, 281, 2473, 514, 9149, 563, 763, 1641, 540, 713, 1433, 568, 519, 1909, 5129, 676, 519, 2296, 1893, 538, 4207, 3567, 269, 634, 8370, 11271, 540, 519, 1433, 4983, 713, 1909, 689, 1585, 5380, 543, 538, 1585, 11890, 267, 543, 3144, 1927, 789, 2099, 513, 2647, 8573, 4474, 5619, 540, 519, 10409, 267, 1514, 543, 2686, 2152, 602, 8451, 689, 519, 946, 540, 2296, 538, 676, 281, 476, 274, 563, 257, 12626, 538, 3567, 538, 519, 16527, 540, 32501, 786, 9029, 547, 5640, 689, 513, 2647, 2039, 540, 10459, 267, 1519, 4294, 23316, 267, 2518, 2090, 543, 5545, 2090, 269, 898, 2306, 513, 1713, 9295, 547, 606, 6932, 1560, 540, 3332, 630, 324, 3052, 563, 3891, 514, 5341, 543, 8895, 534, 267, 3738, 602, 811, 8308, 20186, 519, 14960, 543, 10848, 540, 4207, 3567, 781, 10409, 2433, 6022, 6588, 557, 5839, 17524, 534, 563, 12626, 2429, 538, 3567, 269, 594, 849, 6338, 835, 3450, 1505, 602, 814, 5063, 9575, 593, 1851, 5545, 9945, 607, 513, 19583, 547, 875, 2296, 2069, 538, 3567, 1522, 1689, 538, 519, 2104, 563, 2026, 3567, 8118, 909, 547, 519, 3544, 1158, 607, 519, 2725, 25702, 1974, 3323, 538, 12898, 606, 10072, 269, 2296, 538, 3567, 538, 519, 16527, 540, 32501, 568, 519, 5767, 8313, 676, 17722, 590, 792, 613, 656, 267, 513, 32082, 538, 11930, 23008, 2524, 693, 519, 7046, 2160, 779, 10418, 585, 5678, 543, 9442, 563, 306, 792, 613, 656, 814, 14916, 11567, 519, 1353, 540, 1158, 2048, 8777, 15935, 16224, 13148, 998, 1010, 942, 2324, 538, 5545, 2362, 2069, 630, 324, 3052, 269, 590, 792, 613, 656, 15426, 9603, 547, 14051, 267, 2296, 1893, 7153, 607, 513, 2518, 3196, 563, 2026, 7194, 2161, 2296, 1893, 568, 519, 1034, 4922, 9275, 11469, 538, 519, 1158, 2221, 269, 898, 568, 2296, 1893, 267, 2705, 267, 513, 8273, 1764, 593, 519, 1158, 607, 513, 2898, 543, 814, 1831, 519, 2518, 632, 1922, 716, 334, 3044, 1031, 538, 1870, 267, 2686, 267, 2797, 543, 10409, 5385, 563, 9349, 2689, 281, 17722, 590, 792, 613, 656, 630, 539, 13776, 2296, 538, 3567, 538, 519, 16527, 540, 32501, 269, 700, 778, 17427, 681, 12722, 269, 5494, 6847, 1299, 5980, 476, 275, 630, 539, 13776, 2296, 538, 3567, 538, 519, 16527, 540, 32501, 269, 8058, 782, 4589, 269, 700, 778, 17427, 681, 12722, 269, 700, 778, 17427, 681, 12722, 269, 6423, 782, 4930, 676, 713, 2278, 563, 15507, 5616, 10104, 585, 713, 2278, 269, 3689, 15618, 5147, 476, 1015, 24764, 676, 281, 476, 272, 269, 10753, 534, 6919, 538, 3567, 281, 12186, 593, 5545, 5678, 543, 5980, 538, 519, 16527, 540, 32501, 4985, 3567, 666, 581, 2808, 835, 540, 519, 1034, 7986, 1806, 540, 513, 1395, 565, 532, 783, 2486, 1317, 540, 922, 9228, 1629, 25140, 607, 1134, 607, 8059, 12264, 24267, 2486, 630, 12988, 27346, 476, 7367, 1916, 17471, 1436, 543, 519, 5545, 9177, 269, 589, 2370, 3787, 827, 3567, 269, 3567, 568, 513, 2493, 18240, 4754, 545, 2895, 28396, 540, 476, 277, 267, 10195, 269, 634, 2185, 4102, 616, 670, 976, 16852, 267, 670, 752, 330, 4660, 334, 267, 19109, 2313, 320, 267, 543, 1744, 1731, 18602, 799, 1118, 909, 827, 562, 27197, 5498, 1597, 2600, 540, 3567, 779, 2244, 1858, 563, 297, 3253, 779, 2551, 540, 2929, 568, 519, 1158, 779, 20870, 4102, 269, 2296, 11469, 269, 3245, 519, 2725, 25702, 5736, 909, 547, 519, 1459, 267, 1079, 3376, 5301, 723, 12592, 519, 5545, 8207, 547, 1451, 2296, 269, 634, 1101, 814, 1044, 547, 1174, 543, 10110, 513, 1114, 2528, 269, 634, 2034, 814, 1044, 547, 5968, 609, 2296, 6340, 1004, 563, 4517, 538, 713, 5736, 540, 6385, 14556, 4328, 14051, 267, 17572, 12025, 281, 22995, 269, 2296, 538, 519, 32501, 16527, 3767, 17058, 2296, 568, 1100, 3476, 513, 1360, 8966, 3364, 267, 855, 2296, 814, 1831, 519, 2343, 2523, 538, 519, 5736, 540, 14051, 563, 288, 1076, 547, 3717, 1134, 543, 2770, 1836, 2296, 1100, 3476, 581, 606, 3773, 1871, 267, 855, 621, 814, 1831, 7569, 610, 2115, 585, 1169, 1004, 538, 2221, 779, 5736, 540, 14051, 269, 32501, 543, 5678, 9752, 269, 543, 15594, 4145, 971, 607, 2021, 779, 2924, 538, 3567, 269, 2324, 593, 513, 8144, 540, 513, 15594, 1433, 689, 2296, 883, 563, 4002, 547, 519, 8938, 23867, 2540, 269, 17587, 19846, 622, 15608, 853, 580, 331, 6308, 3370, 32501, 543, 922, 2598, 4186, 757, 538, 15681, 721, 827, 621, 5225, 269, 15608, 853, 580, 2830, 345, 779, 32501, 543, 922, 2598, 4186, 757, 568, 513, 1433, 602, 4896, 3168, 585, 513, 17031, 1305, 540, 5380, 593, 14051, 1058, 1224, 269, 15608, 853, 580, 331, 6308, 814, 1044, 835, 540, 519, 1158, 779, 3056, 2804, 28466, 2094, 519, 521, 563, 3891, 568, 2278, 540, 634, 22830, 540, 2296, 538, 3567, 630, 11372, 13308, 25198, 267, 3738, 543, 10289, 2622, 1621, 15935, 630, 305, 719, 1578, 1070, 543, 9375, 540, 2296, 538, 3567, 538, 519, 16527, 540, 32501, 630, 21595, 6588, 557, 5839, 17524, 534, 267, 3738, 543, 2296, 538, 519, 2622, 281, 3778, 267, 16844, 267, 7827, 630, 305, 719, 1578, 267, 5976, 563, 297, 3253, 543, 519, 5545, 1004, 723, 711, 23012, 519, 2360, 540, 14051, 269, 769, 1249, 267, 10502, 1317, 540, 922, 1686, 607, 513, 968, 743, 2216, 892, 4182, 1282, 519, 15480, 1872, 11867, 11270, 630, 1070, 3567, 269, 7224, 3476, 19500, 607, 10148, 593, 3567, 781, 4346, 693, 2547, 676, 28069, 1063, 543, 634, 811, 1898, 2601, 585, 519, 7766, 15125, 1248, 538, 3567, 781, 4346, 729, 3567, 781, 16607, 3210, 547, 519, 1713, 2242, 538, 519, 1604, 267, 12077, 267, 14051, 543, 2551, 10172, 563, 7883, 532, 1394, 547, 1250, 4505, 4704, 547, 297, 3253, 269, 17471, 1436, 5525, 543, 15503, 2987, 16644, 3971, 540, 519, 4760, 6520, 540, 32501, 630, 514, 6739, 1040, 3571, 4081, 4690, 616, 4448, 609, 519, 2079, 540, 2042, 540, 14051, 543, 30222, 563, 14367, 3370, 1382, 2882, 3584, 971, 607, 20925, 1158, 2797, 1689, 267, 1514, 1547, 0, 268, 1215, 1279, 666, 513, 581, 11232, 3251, 896, 1216, 888, 268, 6904, 2831, 666, 3180, 741, 7362, 585, 909, 547, 476, 3393, 3764, 888, 268, 1215, 1279, 666, 2142, 28316, 3180, 741, 7362, 888, 268, 4024, 513, 581, 11232, 4323, 596, 888, 268, 1548, 568, 519, 14438, 540, 513, 581, 11232, 888, 268, 1684, 581, 28316, 7362, 896, 1216, 888, 268, 1548, 616, 581, 28316, 12922, 540, 888, 268, 1772, 621, 2922, 547, 7669, 609, 581, 28316, 888, 268, 2052, 2142, 28316, 546, 3497, 888, 268, 1548, 3662, 666, 3180, 922, 7362, 519, 13074, 888, 268, 1548, 568, 513, 4775, 581, 11232, 1572, 888, 268, 1215, 798, 596, 29057, 2476, 581, 28316, 888, 1692, 1279, 666, 513, 581, 11232, 3251, 896, 1216, 888, 1428, 3764, 288, 638, 1738, 11154, 725, 1452, 10305, 1450, 581, 28316, 547, 7669, 693, 11250, 540, 909, 547, 2947, 5195, 606, 5662, 563, 5445, 666, 2611, 14015, 585, 476, 1428, 3764, 1510, 17774, 5217, 267, 543, 723, 513, 1305, 540, 12001, 22442, 1749, 602, 1599, 1454, 899, 575, 17344, 956, 563, 19853, 9663, 568, 6923, 522, 1176, 543, 28890, 10756, 7617, 2831, 666, 3180, 741, 7362, 585, 909, 547, 476, 3393, 3764, 888, 6826, 28316, 666, 3180, 741, 7362, 14015, 585, 476, 3393, 3764, 563, 1692, 1279, 666, 2142, 28316, 3180, 741, 7362, 888, 1428, 3764, 8794, 922, 1357, 5523, 12042, 3952, 585, 27668, 543, 922, 6366, 2766, 607, 513, 25229, 1457, 267, 513, 581, 11232, 666, 7669, 909, 547, 476, 277, 5195, 606, 5662, 269, 898, 666, 849, 3180, 922, 7362, 14015, 585, 909, 547, 476, 1428, 3764, 267, 4543, 621, 547, 2057, 11975, 563, 12663, 513, 581, 11232, 4323, 596, 888, 6826, 28316, 723, 1044, 1634, 547, 581, 5393, 10728, 538, 21108, 741, 8513, 1996, 9228, 1958, 549, 16670, 269, 1358, 949, 4323, 3425, 950, 7783, 676, 29811, 267, 543, 968, 4754, 849, 1831, 771 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 28184, 5793, 607, 28184, 454, 339, 284, 339, 330, 11053, 330, 10797, 5814, 4351, 454, 342, 284, 6110, 454, 327, 284, 6110, 692, 4754, 11663, 284, 339, 330, 269, 4692, 11663, 6025, 267, 12296, 284, 342, 267, 19417, 284, 327, 994, 4754, 11663, 4877, 871, 4590, 3712, 832, 284, 14277, 13582, 14824, 19990, 14824, 344, 3641, 14824, 1042, 14824, 20580, 921, 31116, 3698, 4351, 4671, 686, 4120, 10031, 825, 533, 272, 284, 12690, 20120, 9792, 26028, 994, 825, 533, 273, 284, 12690, 20120, 9792, 22607, 994, 825, 533, 274, 284, 12690, 20120, 9792, 26028, 994, 825, 533, 275, 284, 12690, 20120, 9792, 22607, 994, 825, 533, 276, 284, 12690, 20120, 9792, 26028, 994, 825, 533, 277, 284, 12690, 20120, 9792, 22607, 994, 825, 2681, 284, 12690, 26716, 4069, 263, 3712, 832, 994, 825, 17198, 269, 22056, 7272, 8432, 12455, 9638, 272, 28872, 273, 28872, 274, 28872, 275, 28872, 276, 28872, 277, 267, 15640, 284, 10233, 267, 719, 1467, 6889, 18872, 15419, 1721, 1535, 538, 2039, 263, 271, 267, 1911, 2187, 825, 4351, 4671, 686, 4120, 4590, 0, 5814, 3060, 343, 607, 562, 343, 692, 5035, 27752, 10031, 825, 8173, 825, 10613, 547, 2328, 519, 8641, 538, 1114, 12043, 563, 8931, 825, 1488, 7714, 912, 825, 476, 955, 8894, 11434, 634, 3403, 3113, 630, 301, 343, 3898, 6393, 825, 16849, 912, 825, 476, 9339, 8894, 11434, 13360, 525, 547, 519, 856, 18316, 630, 20479, 3758, 1916, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 575, 2187, 1038, 1582, 3052, 815, 575, 692, 825, 1219, 6316, 8217, 4311, 267, 856, 18316, 2187, 1038, 1582, 269, 8354, 8266, 815, 562, 343, 22182, 318, 539, 326, 601, 626, 4311, 3052, 267, 856, 18316, 2020, 825, 8173, 825, 3503, 7755, 659, 1890, 5119, 607, 513, 11885, 3758, 563, 825, 8173, 825, 1219, 7755, 659, 1890, 24624, 4311, 267, 856, 18316, 2187, 1038, 1582, 269, 29951, 659, 1890, 30467, 815, 562, 343, 30419, 5332, 17056, 24624, 4311, 3052, 994, 1038, 5286, 4732, 1511, 263, 719, 18316, 267, 1582, 269, 29951, 659, 1890, 30467, 2020, 825, 8173, 825, 13360, 525, 519, 6843, 5044, 883, 11885, 3758, 563, 825, 5727, 13872, 825, 1219, 9136, 4311, 267, 856, 18316, 2187, 1038, 1780, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 1477, 258, 28605, 322, 5317, 281, 583, 325, 268, 279, 268, 265, 268, 5897, 5897, 5897, 258, 476, 27447, 24662, 25203, 372, 10429, 367, 5897, 258, 5124, 418, 493, 494, 28032, 505, 29072, 22047, 6358, 3890, 8147, 23746, 23284, 18777, 358, 17958, 16043, 371, 27447, 24662, 21211, 31033, 4970, 366, 8147, 23946, 370, 11858, 502, 418, 498, 378, 28996, 22047, 9463, 502, 19404, 493, 19404, 490, 5897, 4067, 815, 3403, 14052, 2745, 28442, 3418, 5897, 4067, 272, 815, 3403, 2891, 13644, 371, 27447, 24662, 418, 480, 357, 7511, 417, 356, 497, 12571, 491, 16088, 14744, 2745, 28442, 272, 3418, 5897, 1012, 476, 14756, 481, 18263, 510, 16088, 418, 365, 480, 27882, 352, 25913, 25051, 351, 7511, 30837, 351, 26175, 363, 1477, 1012, 476, 14756, 481, 18263, 510, 16088, 418, 365, 480, 421, 499, 379, 25913, 25051, 351, 7511, 30837, 351, 26175, 363, 0, 26611, 23591, 24800, 270, 7090, 274, 1477, 258, 28605, 322, 5317, 281, 583, 325, 268, 279, 268, 265, 268, 5897, 24653, 258, 476, 12255, 29004, 362, 32352, 417, 508, 489, 26905, 5903, 32352, 417, 508, 489, 5897, 258, 476, 28578, 23989, 418, 497, 491, 30853, 25203, 372, 10429, 367, 5897, 258, 5124, 13127, 484, 483, 419, 377, 362, 7511, 13601, 26175, 491, 12255, 29004, 362, 32352, 417, 508, 489, 15159, 28578, 23989, 16088, 4289, 12486, 1592, 476, 15159, 13601, 26175, 491, 20069, 31365, 7511, 421, 505, 484, 12571, 486, 8147, 23746, 23284, 421, 504, 493, 28793, 418, 371, 375, 20693, 510, 25520, 10254, 510, 30522, 353, 10429, 370, 18809, 7511, 30317, 27381, 510, 12486, 1477, 258, 476, 10254, 505, 417, 375, 374, 22047, 28578, 23989, 8147, 9463, 359, 28884, 418, 488, 488, 20881, 501, 9463, 371, 26166, 421, 504, 498, 7511, 21251, 12571, 490, 7511, 12255, 29004, 362, 421, 350, 373, 12916, 379, 17958, 25913, 418, 489, 361, 9463, 371, 418, 489, 361, 420, 369, 371, 23521, 354, 22287, 367, 23746, 267, 4970, 498, 28578, 23989, 7511, 12255, 29004, 362, 421, 350, 373, 21251, 421, 506, 478, 28884, 10429, 371, 20069, 25203, 372, 12571, 490, 7511, 32352, 417, 508, 489, 5897, 5897, 1012, 13127, 362, 504, 18263, 487, 1592, 1477, 331, 272, 815, 1592, 9230, 272, 267, 273, 267, 274, 267, 275, 267, 276, 17903, 331, 273, 815, 1592, 8443, 257, 16852, 836, 2692, 2580, 262, 343, 15120, 26907, 3299, 11277, 275, 267, 476, 4649, 269, 4649, 29573, 331, 274, 815, 22373, 16852, 836, 2692, 2580, 262, 343, 15120, 26907, 3299, 11277, 275, 267, 476, 4649, 269, 4649, 316, 24653, 1012, 476, 18777, 379, 25426, 362, 4289, 1477, 2745, 10857, 274, 314, 271, 29573, 2745, 263, 6943, 10857, 274, 314, 271, 8079, 3418, 2745, 10857, 274, 314, 272, 29573, 2745, 263, 6943, 10857, 274, 314, 272, 8079, 3418, 2745, 10857, 274, 314, 273, 29573, 2745, 263, 6943, 10857, 274, 314, 273, 8079, 3418, 2745, 10857, 274, 314, 274, 29573, 2745, 263, 6943, 10857, 274, 314, 274, 8079, 3418, 5897, 1012, 1592, 10254, 485, 29830, 485, 1477, 2745, 10857, 274, 314, 272, 281, 275, 29573, 2745, 10857, 274, 314, 273, 281, 274, 29573, 5897, 1012, 17276, 505, 368, 13161, 364, 4289, 1477, 2745, 10857, 274, 3418, 331, 274, 314, 272, 316, 815, 834, 342, 836, 321, 7776, 336, 21628, 29177, 2745, 10857, 274, 3418, 331, 274, 6910, 2891, 343, 15120, 26907, 14744, 2745, 10857, 274, 3418, 5897, 1012, 476, 10254, 510, 30522, 353, 4289, 1477, 2745, 10857, 274, 3418, 23437, 561, 274, 314, 273, 15947, 2745, 10857, 274, 3418, 5897, 1012, 1592, 13213, 494, 28997, 501, 31033, 1477, 2745, 12759, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 8079, 3418, 331, 275, 815, 1496, 272, 267, 273, 267, 274, 316, 1341, 1496, 275, 267, 276, 267, 277, 15947, 2745, 10857, 275, 3418, 2745, 10857, 275, 2608, 476, 275, 3418, 2745, 263, 275, 538, 561, 275, 3418, 2745, 263, 278, 538, 561, 275, 3418, 5897, 1012, 1592, 421, 479, 491, 31308, 484, 1477, 1721, 1535, 538, 561, 275, 6769, 825, 1820, 3287, 267, 1439, 6889, 834, 10142, 2745, 14052, 24653, 1012, 1592, 7511, 10429, 370, 10524, 500, 16583, 30936, 1477, 331, 277, 815, 1496, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 277, 267, 277, 15947, 258, 7003, 17338, 264, 453, 28578, 23989, 30317, 27381, 510, 14748, 12255, 1477, 2745, 12759, 10857, 277, 17903, 258, 3193, 17338, 264, 453, 13213, 498, 18713, 508, 28578, 23989, 30317, 27381, 510, 31006, 27962, 29219, 1477, 2745, 32384, 10857, 277, 17903, 258, 1295, 17338, 264, 453, 13213, 498, 18713, 508, 28578, 23989, 30317, 27381, 510, 31006, 16533, 493, 29219, 1477, 2745, 263, 2381, 10857, 277, 17903, 258, 1592, 263, 572, 336, 264, 453, 16533, 484, 30317, 14756, 482, 420, 377, 361, 29004, 351, 20992, 28578, 23989, 1477, 2745, 17338, 263, 9792, 263, 272, 267, 1015, 4297, 3418, 258, 1592, 29644, 263, 28128, 264, 453, 14756, 509, 18777, 350, 418, 509, 494, 14748, 30317, 27381, 510, 21928, 28578, 23989, 18809, 24731, 27064, 364, 7511, 418, 361, 350, 12255, 1477, 2745, 10857, 277, 29644, 263, 277, 17903, 2745, 10857, 277, 29644, 263, 272, 17903, 258, 1592, 28827, 263, 28128, 264, 453, 10524, 492, 28578, 23989, 18809, 19867, 378, 24731, 418, 509, 494, 14748, 29219, 21588, 361, 22047, 25060, 373, 421, 483, 491, 421, 350, 373, 7511, 27381, 351, 19764, 499, 12916, 491, 419, 377, 362, 1477, 2745, 10857, 277, 28827, 263, 275, 17903, 258, 1592, 6910, 263, 28128, 264, 453, 21928, 28578, 23989, 10951, 360, 16533, 378, 418, 371, 375, 20693, 510, 13161, 364, 7511, 28098, 420, 365, 350, 1477, 331, 277, 6910, 263, 4510, 3418, 2745, 10857, 277, 3418, 258, 1592, 27044, 263, 8161, 267, 1073, 329, 264, 453, 16533, 484, 28098, 420, 365, 350, 418, 493, 496, 24662, 28578, 23989, 1477, 331, 277, 27044, 263, 272, 2437, 16852, 836, 2692, 14744, 2745, 10857, 277, 3418, 258, 1592, 21014, 263, 28128, 284, 4289, 15631, 272, 8079, 453, 26175, 375, 30522, 353, 28578, 23989, 18809, 7511, 22047, 30317, 27381, 510, 27818, 421, 375, 502, 18777, 353, 31006, 12571, 492, 22047, 30317, 27381, 510, 24724, 8147, 23946, 370, 4970, 498, 13213, 498, 18713, 508, 13644, 354, 30317, 27381, 510, 7511, 29219, 1477, 2745, 10857, 277, 21014, 3890, 3418, 2745, 10857, 277, 3418, 2745, 10857, 277, 21014, 263, 272, 17903, 2745, 10857, 277, 3418, 258, 1592, 18622, 2091, 3890, 453, 9463, 491, 12571, 495, 28578, 23989, 18809, 30317, 27381, 510, 1477, 331, 277, 18622, 2091, 14052, 2745, 10857, 277, 3418, 258, 1592, 31699, 8443, 325, 15635, 8079, 453, 28098, 31308, 509, 28578, 23989, 13213, 505, 27310, 26406, 496, 31365, 1477, 331, 277, 31699, 14052, 2745, 10857, 277, 3418, 331, 277, 31699, 263, 516, 2091, 18989, 3418, 2745, 10857, 277, 3418 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 276, 25513, 609, 12476, 14210, 2349, 4169, 6096, 1923, 8342, 11242, 692, 4322, 12408, 609, 3490, 4557, 7161, 3211, 786, 948, 547, 14650, 543, 1174, 1747, 1871, 543, 1297, 1949, 269, 476, 272, 560, 3446, 1053, 786, 1451, 2596, 12408, 2409, 543, 666, 2087, 741, 2596, 2979, 1983, 609, 938, 1863, 7792, 3490, 4557, 3625, 3211, 780, 1012, 476, 276, 25513, 609, 12476, 14210, 2349, 4169, 6096, 692, 8923, 4647, 519, 1739, 12408, 609, 3490, 4557, 7161, 3211, 543, 2259, 12408, 609, 3490, 4557, 7161, 593, 519, 3817, 780, 1012, 8018, 585, 476, 273, 32693, 25513, 609, 14210, 2349, 4169, 1510, 3204, 29470, 692, 1103, 713, 4976, 267, 649, 1376, 609, 5595, 18251, 12408, 1510, 1036, 29470, 267, 519, 15864, 835, 269, 25513, 609, 4557, 7161, 568, 4443, 982, 596, 1589, 269, 3371, 267, 596, 723, 547, 1293, 513, 1279, 3126, 540, 18695, 607, 4557, 4559, 543, 513, 2582, 13306, 607, 835, 1770, 269, 7427, 1250, 1101, 1966, 543, 2347, 782, 519, 2042, 607, 594, 798, 780, 1012, 8018, 585, 476, 274, 32693, 25513, 609, 14210, 2349, 4169, 1510, 3204, 29470, 692, 1103, 713, 3296, 267, 17784, 18251, 12408, 1510, 1036, 29470, 568, 2016, 269, 1677, 2347, 621, 3362, 267, 596, 723, 547, 10208, 609, 4557, 7161, 269, 3371, 267, 596, 723, 547, 1293, 513, 6366, 3126, 540, 18695, 607, 835, 4627, 4559, 267, 513, 1279, 3126, 540, 18695, 607, 4557, 4559, 267, 543, 513, 2582, 13306, 607, 835, 1770, 269, 7427, 1250, 1101, 1966, 543, 2347, 782, 519, 2042, 607, 594, 798, 780, 1012, 8018, 585, 25513, 609, 14210, 2349, 4169, 609, 3204, 29470, 692, 4517, 1934, 568, 519, 12408, 609, 1036, 29470, 269, 769, 891, 3211, 267, 596, 786, 1265, 5595, 543, 17784, 18251, 12408, 267, 1312, 609, 1036, 29470, 269, 4032, 267, 10208, 267, 543, 6445, 782, 519, 10616, 5402, 780, 1012, 8018, 585, 16265, 24219, 31353, 609, 14210, 2349, 4169, 692, 10521, 3211, 616, 3773, 1934, 1141, 596, 786, 1265, 519, 6404, 12408, 540, 17447, 609, 4557, 7161, 267, 799, 1797, 5595, 543, 17784, 9704, 609, 543, 1510, 1036, 29470, 269, 7427, 1250, 1101, 1966, 543, 2347, 782, 519, 2042, 607, 594, 798, 780, 1012, 11822, 6478, 10819, 585, 25513, 609, 14210, 2349, 4169, 692, 1607, 568, 519, 3803, 2534, 4976, 267, 1141, 27552, 2241, 2262, 2042, 585, 12408, 609, 4557, 7161, 616, 3773, 269, 0, 258, 2979, 692, 14006, 539, 676, 16317, 2710, 519, 4834, 1535, 815, 476, 276, 344, 1341, 476, 274, 543, 1535, 815, 476, 276, 344, 1107, 476, 274, 723, 519, 1482, 3070, 286, 1215, 1522, 596, 2491, 707, 2626, 547, 2576, 945, 814, 711, 4121, 7223, 286, 476, 1220, 1913, 610, 1732, 692, 1892, 2979, 910, 692, 292, 336, 272, 281, 2473, 815, 476, 276, 344, 1341, 476, 274, 563, 292, 336, 273, 281, 2473, 815, 476, 276, 344, 910, 476, 274, 563, 27802, 3482, 476, 273, 585, 962, 538, 1142, 26169, 543, 4194, 454, 1721, 2473, 1384, 292, 336, 272, 281, 2473, 815, 476, 276, 265, 273, 1341, 476, 274, 815, 476, 1015, 1341, 476, 274, 815, 476, 1724, 780, 292, 336, 273, 281, 2473, 815, 476, 276, 265, 273, 910, 476, 274, 815, 476, 1015, 910, 476, 274, 815, 476, 278, 780, 763, 1871, 540, 519, 476, 272, 560, 2165, 538, 1142, 26169, 568, 476, 1015, 269, 769, 26169, 272, 267, 649, 1039, 476, 274, 547, 476, 1015, 269, 1809, 538, 26169, 273, 2676, 933, 10208, 476, 274, 689, 476, 1015, 269, 4475, 267, 519, 454, 338, 30055, 3112, 581, 519, 1482, 780, 1012, 5381, 5999, 692, 272, 269, 12693, 4569, 692, 6343, 596, 723, 4121, 827, 7787, 7215, 543, 741, 3156, 267, 543, 1287, 2015, 875, 596, 1522, 4019, 7787, 7215, 547, 707, 3232, 1272, 269, 11512, 713, 3498, 267, 543, 1865, 1018, 519, 3830, 1522, 581, 269, 9894, 519, 1353, 2560, 692, 27855, 513, 2241, 1184, 585, 1210, 3928, 543, 1770, 5777, 602, 1522, 948, 2576, 945, 568, 2348, 7411, 1620, 891, 2035, 269, 3417, 2901, 606, 1383, 689, 519, 1257, 610, 835, 540, 707, 1378, 547, 2491, 519, 3070, 1184, 269, 1250, 6693, 274, 269, 12693, 2910, 300, 270, 14028, 692, 2690, 713, 1788, 267, 594, 1185, 547, 2328, 476, 276, 2312, 267, 13801, 267, 1134, 2854, 5220, 827, 1018, 594, 4312, 4121, 713, 3018, 269, 1684, 891, 5220, 1413, 2953, 547, 596, 888, 275, 269, 12693, 10789, 476, 272, 692, 2710, 519, 4834, 1535, 815, 476, 275, 344, 1341, 476, 272, 543, 1535, 815, 476, 275, 344, 910, 476, 272, 723, 519, 1482, 3070, 888, 276, 269, 12693, 7223, 476, 272, 692, 2710, 519, 4834, 1535, 815, 476, 275, 344, 1341, 476, 272, 543, 1535, 815, 476, 275, 344, 910, 476, 272, 723, 519, 1482, 3070, 888, 277, 269, 12693, 10789, 692, 2710, 519, 4834, 1535, 815, 476, 275, 344, 1341, 476, 272, 543, 1535, 815, 476, 275, 344, 910, 476, 272, 723, 519, 1482, 3070, 888, 278, 269, 12693, 7223, 692, 2710, 519, 4834, 1535, 815, 476, 275, 344, 1341, 476, 272, 543, 1535, 815, 476, 275, 344, 1107, 476, 272, 723, 519, 1482, 3070, 888, 279, 269, 12693, 7223, 692, 2710, 519, 4834, 1535, 815, 476, 275, 344, 1341, 476, 272, 543, 1535, 815, 476, 275, 344, 1107, 476, 272, 723, 519, 1482, 3070, 888, 280, 269, 12693, 595, 4047, 300, 780, 272, 269, 513, 264, 1548, 2249, 616, 1459, 538, 513, 476, 274, 269, 271, 631, 19760, 274, 3070, 888, 1015, 269, 12693, 10789, 476, 272, 692, 23737, 1946, 519, 1079, 4834, 2630, 723, 519, 1482, 3435, 269, 1535, 1341, 476, 274, 344, 815, 6567, 272, 6567, 273, 343, 6567, 476, 277, 344, 815, 476, 273, 589, 269, 634, 1079, 4834, 723, 519, 1482, 9386, 267, 865, 789, 723, 519, 1482, 3435, 269, 645, 269, 634, 2034, 3830, 568, 513, 2789, 540, 519, 1101, 3830, 267, 2560, 692, 5415, 5381, 5999, 0, 8893, 476, 273, 692, 303, 16993, 540, 12618, 692, 4131, 779, 5635, 1114, 3270, 540, 2208, 780, 273, 269, 272, 281, 6904, 2290, 6496, 333, 1406, 5617, 784, 281, 23959, 540, 18880, 692, 7617, 835, 3085, 1405, 4866, 2496, 8368, 589, 692, 2330, 343, 2330, 3230, 344, 16465, 272, 476, 279, 454, 273, 476, 1626, 454, 274, 476, 2190, 454, 275, 476, 3953, 454, 279, 476, 5038, 692, 8368, 645, 692, 2330, 343, 2330, 3230, 344, 16465, 271, 476, 271, 454, 273, 476, 1626, 454, 275, 476, 3953, 454, 277, 476, 4366, 454, 279, 476, 5038, 692, 8368, 595, 692, 2330, 343, 2330, 3230, 344, 16465, 271, 476, 272, 454, 272, 476, 275, 454, 273, 476, 1626, 454, 274, 476, 5038, 454, 275, 476, 16348, 692, 8368, 667, 692, 2330, 343, 2330, 3230, 344, 16465, 271, 476, 275, 454, 272, 476, 279, 454, 273, 476, 1321, 454, 274, 476, 1626, 454, 275, 476, 736, 692, 273, 269, 273, 281, 19663, 853, 2803, 692, 288, 1426, 2754, 4867, 814, 476, 276, 13418, 8637, 269, 898, 568, 6236, 476, 273, 4566, 585, 9750, 922, 5832, 540, 8637, 780, 23945, 589, 281, 7046, 476, 736, 1007, 8637, 1142, 1032, 780, 272, 269, 2422, 2029, 547, 2347, 513, 3349, 585, 519, 1297, 540, 8637, 585, 519, 1985, 476, 1015, 1296, 267, 607, 3254, 1934, 563, 20204, 1297, 540, 8637, 3017, 689, 3105, 1032, 454, 271, 476, 276, 454, 272, 476, 1839, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 1015, 454, 272, 269, 1548, 798, 596, 5469, 827, 519, 3017, 689, 1032, 547, 1032, 888, 273, 269, 1403, 972, 616, 3230, 333, 2330, 8637, 835, 1032, 267, 875, 1082, 8637, 786, 972, 581, 513, 1032, 2663, 888, 272, 269, 1548, 798, 596, 5469, 827, 519, 3017, 1169, 476, 274, 1296, 888, 273, 269, 1403, 972, 616, 3230, 333, 2330, 8637, 835, 1032, 267, 875, 1082, 8637, 786, 972, 581, 476, 274, 1296, 2663, 2496, 23945, 645, 281, 17677, 519, 1297, 540, 8637, 1142, 1032, 780, 272, 269, 2422, 513, 2029, 547, 2347, 513, 3349, 585, 519, 1297, 540, 8637, 585, 519, 1985, 476, 1015, 1296, 896, 1142, 1544, 267, 607, 3254, 1934, 563, 20204, 1297, 540, 8637, 3017, 689, 454, 2181, 2365, 1032, 454, 26476, 689, 454, 2181, 2365, 1032, 454, 271, 476, 276, 454, 272, 454, 273, 454, 274, 454, 275, 454, 276, 454, 277, 454, 278, 454, 279, 454, 280, 454, 1015, 454, 272, 269, 1548, 798, 596, 5469, 827, 519, 3017, 689, 1032, 547, 1032, 888, 273, 269, 1548, 798, 596, 5469, 827, 519, 3815, 689, 1032, 547, 1032, 888, 274, 269, 1403, 972, 616, 3230, 333, 2330, 8637, 835, 1032, 267, 875, 1082, 8637, 786, 972, 581, 513, 1032, 2663, 888, 272, 269, 1548, 798, 596, 5469, 827, 519, 3017, 1169, 476, 274, 1296, 888, 273, 269, 1548, 798, 596, 5469, 827, 519, 3815, 1169, 476, 274, 1296, 888, 274, 269, 1403, 972, 616, 3230, 333, 2330, 8637, 835, 1032, 267, 875, 1082, 8637, 786, 972, 581, 476, 274, 1296, 2663, 2496, 22428, 519, 1426, 2754, 16976, 621, 1131, 899, 547, 1332, 689, 519, 476, 276, 8637, 621, 814, 1631, 865, 602, 621, 786, 723, 693, 2547, 476, 7785, 8637, 267, 855, 1100, 811, 982, 476, 8517, 8637, 476, 276, 1296, 689, 1631, 780, 272, 269, 22067, 909, 609, 513, 1544, 585, 519, 2754, 547, 3035, 713, 1141, 621, 8591, 519, 1482, 1297, 540, 8637, 1142, 1032, 563, 273, 269, 22067, 909, 609, 513, 1544, 585, 519, 2754, 547, 3035, 713, 1141, 519, 1297, 540, 8637, 12750, 625, 676, 519, 1482, 3815, 1142, 1032, 269, 630, 9616, 602, 596, 1522, 991, 547, 5180, 519, 6364, 547, 519, 14282, 2898, 4558, 24355, 273, 269, 274, 281, 10046, 543, 7427, 619, 692, 2080, 616, 11913, 11673, 540, 476, 273, 3871, 267, 4553, 676, 7515, 543, 7215, 602, 1223, 948, 547, 2626, 835, 540, 519, 2055, 538, 519, 3871, 780, 1892, 23063, 6672, 476, 272, 281, 589, 1268, 814, 476, 3199, 13794, 593, 1514, 2923, 269, 634, 1297, 540, 13794, 2468, 1255, 1142, 1032, 269, 1215, 1082, 13794, 786, 1352, 723, 1310, 476, 275, 1296, 888, 1892, 23063, 6672, 476, 273, 281, 589, 7382, 3568, 476, 3199, 17529, 540, 1216, 543, 568, 3478, 4904, 693, 2557, 540, 476, 274, 17529, 829, 8792, 269, 1215, 1082, 17529, 540, 1216, 786, 581, 538, 519, 7382, 1310, 476, 275, 3764, 2496, 300, 2255, 1142, 6041, 630, 320, 3349, 610, 606, 4082, 264, 609, 835, 3510, 269, 2142, 5423, 547, 2491, 875, 519, 3349, 610, 4082, 4267, 519, 2243, 780, 288, 269, 3230, 3199, 1422, 321, 1245, 10383, 476, 274, 315, 321, 1245, 10383, 476, 274, 1422, 321, 1245, 10383, 476, 274, 315, 321, 1245, 10383, 476, 274, 9681, 289, 780, 3230, 343, 2330, 3230, 344, 2330, 476, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 3199, 476, 13301, 476, 24798, 476, 273, 267, 8182, 476, 277, 267, 21878, 692, 290, 269, 3230, 3199, 1341, 476, 274, 266, 274, 266, 274, 266, 274, 9681, 291, 269, 3230, 3199, 1341, 476, 275, 1422, 321, 1245, 10383, 476, 274, 9681, 292, 780, 3230, 343, 2330, 3230, 344, 2330, 476, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 3199, 476, 10695, 476, 10436, 476, 8660, 476, 10844, 692, 293, 269, 3230, 3199, 1422, 321, 1245, 10383, 476, 10037, 9681, 23087, 692, 2080, 616, 1079, 7515, 8204, 1079, 1114, 3871, 780, 1892, 589, 2875, 8255, 2144, 571, 2738, 585, 513, 7023, 1169, 3018, 269, 634, 3349, 2982, 519, 2628, 646, 949, 4309, 267, 538, 9489, 267, 538, 1022, 2016, 3018, 563, 15893, 540, 2144, 571, 2738, 2628, 538, 9489, 3017, 689, 3105, 2628, 454, 271, 476, 1015, 454, 272, 476, 1428, 476, 276, 454, 273, 476, 736, 476, 276, 454, 274, 476, 1839, 476, 276, 454, 275, 476, 1789, 476, 276, 454, 1892, 589, 2875, 693, 513, 1164, 1153, 4862, 513, 15555, 528, 602, 513, 28910, 786, 581, 6340, 693, 22692, 269, 634, 3349, 2982, 875, 519, 15555, 528, 568, 10825, 936, 942, 267, 538, 2395, 563, 1485, 1004, 945, 723, 454, 515, 731, 519, 15555, 528, 454, 26476, 689, 3105, 454, 15893, 540, 1004, 454, 271, 476, 272, 454, 272, 476, 276, 476, 276, 454, 273, 476, 1839, 476, 276, 454, 274, 476, 10219, 476, 276, 454, 275, 476, 27698, 476, 276, 692, 5629, 649, 5431, 875, 891, 3270, 1689, 267, 649, 666, 4766, 873, 28879, 269, 901, 2636, 721, 547, 1174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 798, 596, 1265, 519, 5021, 1871, 286, 1403, 596, 616, 2016, 519, 4542, 586, 815, 4949, 273, 1341, 536, 343, 1341, 524, 267, 1287, 596, 666, 1265, 519, 5021, 1871, 1210, 519, 4542, 3193, 815, 524, 910, 630, 321, 273, 1315, 476, 275, 320, 1040, 1403, 596, 723, 519, 3830, 586, 815, 513, 3287, 3620, 264, 273, 1341, 737, 543, 519, 513, 2165, 568, 2942, 267, 1287, 519, 5021, 1871, 568, 737, 563, 1692, 798, 596, 1265, 519, 5021, 1871, 593, 513, 9498, 888, 1692, 798, 596, 1265, 519, 5934, 543, 5021, 593, 513, 9498, 888, 18208, 476, 273, 526, 267, 1287, 595, 3201, 290, 630, 629, 913, 519, 13138, 19781, 1883, 1040, 7994, 476, 275, 281, 5021, 610, 476, 274, 281, 5934, 269, 634, 9498, 786, 2307, 596, 585, 513, 2451, 3808, 267, 513, 1318, 3808, 267, 543, 513, 7058, 585, 519, 5021, 610, 5934, 269, 1411, 666, 4283, 891, 676, 1210, 707, 2451, 543, 1318, 21985, 547, 1847, 519, 23684, 547, 513, 10257, 1535, 17032, 267, 1287, 10296, 13673, 9898, 563, 1692, 798, 596, 1265, 519, 5934, 610, 5021, 1871, 540, 513, 1599, 888, 1692, 798, 596, 1265, 519, 5021, 540, 513, 1305, 540, 1239, 888, 763, 5021, 543, 5934, 849, 1118, 606, 5920, 7258, 519, 1101, 267, 2034, 267, 543, 3791, 14415, 3796, 538, 519, 5888, 540, 2418, 16030, 519, 2947, 1297, 5758, 585, 513, 1239, 1305, 269, 634, 5934, 568, 519, 1101, 1297, 7396, 607, 621, 568, 519, 9803, 267, 543, 519, 5021, 568, 519, 2063, 1297, 7396, 1317, 621, 568, 519, 5207, 563, 16665, 3655, 336, 585, 1215, 1684, 1411, 4855, 634, 26228, 10025, 888, 1692, 798, 596, 1265, 519, 5021, 1871, 538, 9185, 888, 1103, 513, 10145, 1591, 267, 1826, 968, 284, 7246, 311, 263, 2108, 8564, 519, 2281, 596, 1616, 547, 1265, 519, 4102, 1297, 689, 269, 19171, 519, 4542, 609, 606, 10678, 24324, 269, 12231, 4283, 543, 519, 4102, 1297, 689, 707, 5542, 786, 1402, 3634, 538, 519, 1591, 563, 1692, 798, 596, 1265, 519, 2199, 3193, 593, 513, 9498, 888, 1692, 798, 596, 1265, 519, 5021, 2698, 8907, 888, 1692, 798, 596, 1265, 519, 5021, 1871, 540, 513, 1599, 538, 11810, 888, 2414, 1265, 519, 5021, 267, 649, 1590, 1265, 1141, 519, 3113, 10593, 689, 2810, 547, 13302, 269, 1677, 1265, 856, 519, 2557, 693, 799, 519, 3113, 10593, 689, 2810, 547, 13302, 267, 649, 1413, 693, 519, 2034, 12045, 543, 1294, 950, 519, 1871, 2242, 689, 2318, 547, 2942, 563, 1692, 798, 596, 1265, 3448, 5021, 543, 5934, 888, 15008, 281, 1677, 1265, 3448, 5021, 338, 267, 649, 991, 547, 1265, 1141, 938, 1101, 12045, 2242, 1129, 269, 1677, 798, 713, 267, 1265, 707, 1101, 12045, 543, 1287, 1265, 1141, 621, 568, 3160, 547, 4642, 269, 5221, 649, 616, 1152, 7255, 827, 519, 8884, 689, 910, 276, 547, 476, 271, 267, 649, 1152, 991, 547, 1449, 2798, 593, 602, 8884, 563, 1692, 798, 596, 1265, 519, 10974, 540, 5021, 543, 5934, 888, 1103, 824, 1913, 267, 952, 649, 7941, 14263, 519, 11664, 540, 519, 1535, 2165, 676, 7466, 519, 11664, 540, 519, 1535, 273, 2165, 267, 649, 723, 519, 2473, 11282, 540, 519, 5021, 610, 5934, 1448, 269, 1403, 649, 12990, 713, 1871, 585, 1535, 538, 519, 3312, 3830, 267, 519, 1267, 568, 519, 962, 1871, 610, 3921, 3729, 267, 799, 14687, 547, 519, 2473, 1871, 563, 1432, 568, 513, 5021, 538, 2979, 888, 10946, 3065, 267, 769, 6128, 267, 513, 1448, 693, 799, 513, 1599, 781, 1871, 568, 6574, 269, 1403, 519, 1871, 568, 3152, 982, 610, 3160, 547, 782, 824, 1599, 2418, 267, 621, 568, 606, 6207, 5021, 269, 769, 11810, 267, 519, 12045, 11224, 4642, 610, 1281, 711, 2291, 693, 513, 1599, 781, 5021, 1448, 563, 1692, 798, 596, 1265, 519, 5021, 1871, 540, 513, 1079, 4756, 1599, 888, 343, 815, 513, 568, 513, 5021, 952, 535, 630, 320, 264, 815, 476, 271, 543, 535, 630, 320, 264, 2999, 476, 271, 282, 3040, 1535, 815, 513, 568, 513, 5934, 952, 535, 630, 320, 264, 815, 476, 271, 543, 535, 630, 320, 264, 3436, 476, 271, 282, 589, 1448, 1141, 535, 630, 320, 264, 815, 476, 271, 543, 535, 630, 320, 264, 815, 476, 271, 568, 1572, 513, 1448, 540, 1102, 3005, 269, 2983, 2210, 29182, 267, 519, 3830, 586, 815, 535, 3287, 264, 4564, 513, 7455, 538, 519, 1079, 8820, 630, 343, 267, 586, 264, 7077, 267, 543, 649, 1289, 713, 7455, 519, 3113, 540, 519, 1599, 535, 3287, 1916, 1692, 798, 596, 1265, 519, 3193, 1871, 540, 513, 1599, 538, 5124, 888, 1432, 568, 519, 5021, 1871, 540, 24572, 888, 2005, 568, 1134, 1634, 602, 585, 1496, 6629, 272, 267, 272, 316, 268, 3901, 4631, 630, 328, 4318, 269, 1483, 14290, 609, 782, 922, 13366, 14084, 3330, 519, 6806, 8884, 1496, 6629, 272, 267, 272, 25818, 519, 31062, 24572, 568, 2141, 12492, 762, 609, 513, 6567, 272, 267, 272, 2173, 520, 3700, 630, 328, 4318, 269, 606, 8870, 5119, 4171, 13366, 616, 6567, 272, 610, 476, 272, 1916, 1692, 798, 596, 1265, 519, 5021, 2039, 538, 7194, 888, 1805, 730, 13151, 3307, 569, 649, 723, 519, 1739, 4542, 281, 16186, 815, 26228, 10025, 1700, 14737, 3065, 10025, 269, 1280, 1383, 267, 519, 1239, 1305, 476, 275, 267, 277, 267, 1015, 267, 476, 1428, 267, 476, 1240, 814, 513, 5021, 540, 476, 1240, 267, 513, 5934, 540, 476, 275, 543, 513, 2039, 540, 476, 1240, 268, 275, 815, 476, 1691, 563, 1692, 798, 594, 1305, 513, 5021, 1871, 538, 606, 9185, 5750, 888, 15675, 519, 5750, 3126, 543, 979, 547, 3898, 3126, 630, 12812, 593, 519, 3126, 267, 2046, 11632, 12435, 266, 272, 1040, 3767, 267, 1305, 909, 3126, 16937, 547, 476, 1911, 260, 543, 707, 5021, 1871, 568, 12006, 269, 2334, 568, 782, 269, 769, 1175, 513, 1906, 3764, 543, 30390, 267, 707, 5750, 8711, 5021, 1871, 563, 1692, 798, 594, 1265, 519, 5021, 1871, 538, 606, 17692, 3948, 538, 9185, 888, 1692, 798, 596, 1265, 519, 5021, 543, 5934, 538, 9185, 888, 1692, 798, 596, 1265, 519, 5021, 543, 5934, 540, 513, 3113, 888, 2414, 1265, 519, 5021, 26553, 3065, 540, 513, 7455, 596, 1590, 1101, 16174, 519, 1599, 543, 1287, 1226, 622, 621, 547, 4642, 269, 901, 3947, 596, 835, 11282, 269, 1677, 1265, 519, 824, 596, 1590, 759, 889, 560, 3482, 519, 835, 2907, 1336, 883, 519, 3312, 1599, 563, 1692, 798, 596, 1265, 519, 3448, 5021, 543, 5934, 593, 513, 30263, 476, 10019, 888, 1692, 798, 596, 1265, 519, 5021, 8907, 538, 513, 2262, 1966, 888, 1692, 798, 596, 1265, 519, 5021, 8907, 538, 1870, 11810, 888, 2467, 616, 1079, 2081, 547, 1265, 519, 5021, 8907, 267, 1210, 11810, 543, 1210, 7223, 269, 6875, 519, 12045, 540, 681, 530, 4135, 1535, 267, 1305, 621, 547, 4642, 267, 543, 4194, 585, 1535, 269, 17553, 519, 12045, 547, 4642, 786, 1265, 519, 3665, 2798, 630, 10946, 3065, 338, 543, 5924, 5934, 338, 264, 540, 519, 1599, 269, 623, 29888, 1535, 815, 476, 4335, 883, 519, 8907, 3830, 547, 1205, 519, 3193, 8907, 563, 1692, 798, 596, 1265, 519, 5934, 543, 5021, 8907, 888, 1692, 798, 596, 1265, 519, 5021, 1871, 538, 14584, 1106, 888, 1692, 798, 596, 1265, 519, 5021, 1871, 540, 513, 25066, 1599, 888, 763, 5021, 1871, 540, 519, 1599, 568, 631, 815, 589, 1341, 1923, 289, 347, 269, 901, 5021, 1871, 4386, 8164, 5609, 1535, 815, 476, 272, 610, 5430, 1535, 815, 476, 272, 269, 634, 5934, 1871, 540, 519, 1599, 568, 544, 815, 589, 722, 494, 1923, 289, 347, 563, 1692, 798, 596, 1265, 519, 5021, 1871, 593, 606, 8884, 888, 1692, 798, 596, 1265, 519, 3448, 5021, 540, 606, 3830, 888, 8340, 519, 1101, 12045, 540, 513, 1599, 535, 3287, 264, 543, 1265, 519, 2565, 2338, 269, 3973, 267, 1265, 519, 2034, 12045, 540, 513, 1599, 535, 3287, 264, 543, 2322, 519, 2565, 2338, 269, 1403, 519, 1871, 568, 2942, 267, 519, 1599, 814, 3448, 3193, 9874, 693, 602, 1448, 267, 952, 519, 1871, 568, 2318, 267, 519, 1599, 814, 3448, 3193, 9874, 693, 602, 1448, 563, 1692, 798, 596, 1265, 3448, 5021, 543, 5934, 1210, 1101, 16755, 888, 1432, 568, 513, 5934, 610, 5021, 1871, 888, 309, 1068, 673, 25158, 15614, 2285, 606, 1271, 4062, 540, 1344, 281, 1879, 519, 29236, 10741, 909, 267, 519, 14584, 568, 519, 9803, 1448, 593, 519, 3113, 2443, 1572, 519, 5934, 267, 610, 1295, 269, 1879, 519, 29236, 10741, 1524, 267, 519, 14584, 568, 519, 5207, 1448, 593, 519, 3113, 2443, 1572, 519, 5021, 267, 610, 3193, 563, 1692, 798, 596, 1265, 519, 10974, 540, 513, 5021, 1448, 888, 1692, 798, 596, 1265, 519, 5021, 1448, 540, 513, 12945, 3113, 888, 1432, 568, 5021, 2979, 1383, 888, 763, 4102, 1871, 269, 634, 5021, 540, 476, 1691, 267, 476, 275, 267, 476, 1626, 267, 476, 1321, 568, 476, 1626, 563, 1432, 568, 519, 5021, 2179, 888, 2791, 946, 5021, 547, 4766, 606, 2179, 799, 568, 519, 4102, 602, 568, 2009, 267, 4847, 267, 610, 2838, 269, 26228, 568, 849, 513, 10902, 269, 0, 3963, 568, 32541, 8273, 982, 605, 28648, 4925, 286, 634, 2702, 547, 2226, 1114, 5054, 3330, 513, 2582, 1591, 2636, 32541, 2281, 547, 4163, 856, 1950, 10894, 6547, 602, 605, 28648, 4925, 3112, 269, 769, 1249, 267, 621, 781, 513, 2462, 851, 540, 519, 2601, 1946, 32541, 2281, 666, 1332, 547, 581, 1082, 2053, 3677, 982, 605, 28648, 5328, 3283, 563, 6701, 24087, 4925, 610, 605, 28648, 4925, 4130, 888, 28053, 2450, 269, 30003, 605, 28648, 5328, 2281, 2039, 689, 476, 271, 269, 272, 547, 476, 276, 269, 271, 30562, 4394, 630, 19031, 332, 264, 538, 8006, 543, 616, 3648, 4130, 982, 32541, 2281, 267, 799, 2356, 723, 5603, 4394, 8151, 689, 476, 1015, 547, 476, 1911, 32755, 563, 1432, 616, 519, 3017, 1063, 513, 605, 28648, 1774, 543, 513, 24087, 1774, 888, 763, 3119, 11984, 1063, 891, 1079, 2010, 540, 7103, 568, 602, 32541, 2281, 723, 513, 9245, 27995, 13540, 543, 605, 28648, 5328, 2281, 798, 711, 269, 634, 13540, 568, 1152, 835, 540, 1082, 9245, 27995, 31759, 538, 24087, 4925, 269, 1160, 28648, 4925, 267, 593, 519, 824, 1688, 267, 723, 1100, 9245, 27995, 31759, 563, 1692, 798, 24087, 4925, 5635, 538, 2450, 547, 605, 28648, 4925, 888, 3682, 28648, 5328, 2281, 2039, 538, 8006, 689, 476, 271, 269, 272, 1700, 276, 269, 271, 18725, 332, 269, 661, 20915, 5328, 2281, 4043, 547, 581, 476, 1015, 547, 476, 1911, 2053, 519, 2450, 540, 605, 28648, 5328, 2281, 563, 1432, 568, 519, 3017, 538, 2450, 1063, 519, 605, 28648, 5328, 2281, 543, 519, 32541, 2281, 799, 3283, 538, 2489, 616, 8273, 543, 799, 3283, 616, 4130, 888, 4263, 476, 271, 269, 272, 1700, 276, 269, 271, 18725, 332, 538, 8006, 267, 605, 28648, 5328, 2281, 616, 3648, 4130, 982, 32541, 2281, 267, 799, 723, 5603, 4394, 8151, 689, 476, 1015, 1700, 1911, 18725, 332, 630, 8201, 476, 274, 269, 278, 1040, 634, 1507, 2450, 540, 605, 28648, 4925, 2636, 12274, 543, 5214, 6675, 602, 4283, 873, 547, 3533, 3262, 547, 824, 2694, 540, 519, 1591, 563, 16665, 1443, 1182, 585, 4208, 1772, 661, 20915, 5328, 8262, 3455, 20537, 1160, 28648, 4925, 888, 7617, 568, 811, 1950, 24087, 4925, 610, 605, 28648, 4925, 888, 292, 20915, 5328, 2281, 616, 811, 1950, 982, 605, 28648, 4925, 267, 543, 519, 5027, 568, 5276, 543, 1336, 1369, 513, 13540, 269, 634, 1950, 32541, 1591, 721, 22363, 538, 513, 2898, 1007, 5736, 585, 1272, 593, 3047, 267, 1317, 891, 2281, 7960, 883, 24352, 32698, 7103, 563, 1432, 616, 519, 3604, 1063, 605, 28648, 4925, 543, 24087, 4925, 28866, 888, 292, 20915, 5328, 2281, 2270, 9245, 27995, 31759, 267, 971, 607, 519, 13540, 267, 1247, 605, 28648, 5328, 2281, 798, 711, 269, 20212, 538, 10408, 2497, 540, 605, 28648, 4925, 543, 24087, 4925, 1331, 519, 4527, 540, 26503, 543, 8392, 6955, 6814, 267, 519, 1591, 3774, 267, 543, 519, 2497, 540, 9606, 10095, 5027, 269, 1411, 1175, 6594, 476, 273, 2474, 2336, 7617, 835, 568, 711, 513, 3017, 1063, 605, 28648, 5328, 543, 32541, 1591, 888, 3682, 28648, 4925, 616, 4130, 982, 24087, 4925, 269, 1684, 596, 917, 602, 519, 13540, 799, 1281, 711, 723, 513, 6046, 9245, 568, 1634, 607, 513, 7576, 1355, 888, 347, 3682, 28648, 5328, 8426, 1475, 292, 20915, 5328, 1591, 2008, 347, 301, 16197, 639, 568 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 948, 621, 1131, 581, 8748, 2439, 328, 993, 2318, 1945, 568, 711, 1318, 609, 1250, 9273, 2943, 1775, 1810, 1405, 917, 1018, 13718, 2252, 596, 723, 547, 1205, 12327, 16898, 14877, 476, 273, 2338, 267, 543, 476, 274, 540, 513, 2186, 1281, 711, 2628, 593, 713, 914, 267, 972, 616, 1152, 476, 274, 3435, 829, 1297, 267, 1535, 476, 277, 2338, 267, 585, 476, 1240, 270, 21327, 267, 610, 476, 279, 269, 3451, 9077, 799, 568, 476, 272, 538, 476, 1321, 269, 4634, 8338, 982, 476, 280, 281, 272, 9878, 476, 279, 281, 272, 267, 476, 1321, 281, 272, 1152, 9878, 476, 279, 281, 272, 568, 5963, 3520, 16781, 748, 780, 2690, 930, 2601, 267, 596, 616, 3206, 972, 616, 476, 1626, 1875, 20421, 3435, 829, 1297, 267, 950, 972, 616, 1152, 476, 274, 17993, 269, 29626, 13974, 547, 707, 1505, 267, 972, 616, 476, 3451, 2081, 547, 10691, 1205, 602, 3169, 6292, 267, 711, 476, 1626, 269, 1280, 782, 2338, 267, 602, 1797, 2735, 270, 21327, 20061, 6336, 267, 610, 476, 3451, 270, 3607, 950, 519, 6824, 568, 4389, 267, 610, 476, 1556, 270, 1321, 780, 28606, 17067, 267, 596, 941, 1210, 476, 3607, 607, 707, 14009, 267, 950, 782, 9273, 1058, 946, 476, 21327, 1317, 540, 519, 4009, 2418, 282, 713, 28520, 1055, 707, 2338, 563, 2252, 519, 5600, 4503, 1169, 1688, 267, 789, 9327, 1405, 4308, 519, 3014, 563, 338, 2748, 532, 854, 454, 1892, 24762, 281, 476, 1626, 454, 16274, 281, 2904, 476, 1691, 267, 476, 1001, 278, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 6734, 281, 3066, 7537, 829, 20921, 454, 32621, 281, 11824, 321, 3518, 11274, 692, 2252, 596, 723, 547, 1205, 12327, 16898, 14877, 476, 273, 2338, 267, 543, 476, 274, 540, 513, 2186, 1281, 711, 2628, 593, 713, 914, 267, 972, 616, 1152, 476, 274, 3435, 829, 1297, 267, 1535, 476, 277, 2338, 267, 585, 476, 1240, 270, 21327, 267, 610, 476, 279, 269, 3451, 9077, 799, 568, 476, 272, 538, 476, 1321, 269, 4634, 8338, 982, 476, 280, 281, 272, 9878, 476, 279, 281, 272, 267, 476, 1321, 281, 272, 1152, 9878, 476, 279, 281, 272, 568, 5963, 3520, 16781, 748, 780, 810, 1018, 1775, 1174, 568, 267, 513, 17784, 1281, 10691, 2628, 585, 519, 5595, 11631, 1256, 952, 621, 568, 519, 1482, 1297, 286, 2496, 604, 1775, 914, 593, 513, 5595, 585, 476, 272, 267, 272, 543, 519, 18062, 6364, 568, 476, 272, 267, 272, 267, 272, 910, 1775, 6336, 286, 888, 2041, 778, 321, 3518, 11274, 454, 1892, 24762, 281, 476, 16318, 6924, 454, 16274, 281, 2904, 476, 2641, 267, 476, 1001, 274, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 6860, 281, 3953, 7537, 829, 20921, 454, 296, 1589, 267, 607, 2484, 607, 726, 19982, 538, 2338, 547, 2979, 2889, 21793, 3135, 267, 11214, 519, 19362, 568, 1373, 16302, 1354, 519, 9819, 267, 543, 621, 1058, 711, 581, 269, 476, 275, 829, 1297, 267, 1535, 476, 277, 2338, 267, 1315, 21327, 2698, 20061, 267, 3947, 596, 513, 2953, 2626, 585, 11083, 19845, 17129, 513, 6292, 593, 476, 274, 18062, 563, 2252, 519, 5600, 4503, 1169, 1688, 267, 789, 9327, 1405, 4308, 519, 3014, 563, 2041, 778, 321, 3518, 11274, 454, 1892, 24762, 281, 476, 16318, 6924, 454, 16274, 281, 2904, 476, 2641, 267, 476, 1001, 274, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 4962, 281, 4343, 7537, 829, 20921, 454, 32621, 281, 12008, 854, 692, 810, 1018, 1775, 1174, 568, 267, 513, 17784, 1281, 10691, 2628, 585, 519, 5595, 11631, 1256, 952, 621, 568, 519, 1482, 1297, 286, 2496, 604, 1775, 914, 593, 513, 5595, 585, 476, 272, 267, 272, 543, 519, 18062, 6364, 568, 476, 272, 267, 272, 267, 272, 910, 1775, 6336, 286, 2496, 296, 786, 2638, 654, 334, 302, 3896, 269, 5776, 269, 2421, 269, 4024, 12575, 543, 3095, 780, 31171, 281, 519, 1808, 3236, 596, 2811, 3843, 547, 5173, 5526, 547, 581, 6719, 607, 834, 29602, 257, 593, 513, 521, 545, 4425, 3349, 269, 654, 19123, 3081, 713, 17188, 1063, 476, 279, 281, 272, 543, 476, 1556, 281, 272, 593, 7515, 267, 543, 949, 610, 949, 711, 2628, 519, 10222, 921, 607, 513, 17677, 3094, 267, 4470, 593, 519, 2777, 11768, 780, 296, 729, 5466, 519, 2979, 538, 707, 1808, 1383, 267, 543, 993, 711, 606, 4274, 593, 24558, 4425, 2628, 8083, 585, 519, 3014, 3294, 630, 527, 568, 20868, 543, 1950, 676, 1374, 1040, 594, 2303, 596, 1224, 8499, 593, 519, 5532, 2985, 267, 543, 2523, 519, 4994, 693, 519, 5377, 540, 602, 2985, 1141, 519, 654, 19123, 6941, 875, 646, 7229, 1367, 914, 338, 972, 269, 16593, 269, 718, 713, 2337, 563, 2252, 519, 5600, 4503, 1169, 1688, 267, 789, 9327, 1405, 4308, 519, 3014, 563, 338, 2748, 532, 854, 454, 1892, 24762, 281, 476, 1626, 454, 16274, 281, 2904, 476, 1691, 267, 476, 1001, 278, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 1724, 281, 4962, 7537, 829, 20921, 454, 628, 3471, 1360, 1454, 11824, 321, 3518, 11274, 267, 1775, 5660, 707, 948, 692, 328, 7058, 519, 2267, 345, 540, 519, 2339, 568, 910, 1018, 568, 519, 5506, 540, 3478, 476, 274, 1114, 2338, 538, 1022, 835, 5066, 2496, 1492, 7744, 602, 3366, 803, 547, 1250, 2626, 540, 476, 271, 269, 27898, 27898, 4649, 277, 568, 713, 1384, 9767, 666, 723, 1022, 1297, 585, 519, 1101, 18062, 1775, 4318, 269, 715, 272, 692, 852, 547, 723, 476, 274, 1114, 2338, 519, 2034, 18062, 715, 273, 3112, 581, 519, 1482, 607, 715, 272, 267, 4061, 972, 616, 630, 277, 268, 272, 6661, 276, 7399, 692, 13678, 1791, 569, 267, 585, 519, 3791, 18062, 715, 274, 621, 666, 9444, 581, 519, 1482, 607, 715, 272, 610, 715, 273, 630, 6518, 581, 4214, 1590, 849, 581, 1114, 689, 1142, 824, 1070, 4061, 585, 715, 274, 972, 616, 630, 277, 268, 273, 6661, 275, 7399, 692, 11004, 1150, 519, 7872, 540, 3478, 476, 274, 1114, 2338, 568, 476, 277, 1535, 476, 276, 1535, 476, 275, 1315, 476, 21327, 692, 6518, 568, 476, 271, 269, 27898, 27898, 4649, 277, 692, 6518, 1869, 3947, 519, 2318, 12601, 538, 1101, 2022, 1657, 267, 1256, 1759, 593, 561, 748, 344, 5672, 879, 476, 279, 281, 272, 2628, 719, 692, 328, 917, 621, 3112, 581, 713, 1434, 865, 1945, 1590, 581, 4636, 2483, 10267, 3122, 291, 690, 454, 1892, 24762, 281, 476, 14065, 277, 454, 16274, 281, 7325, 476, 2918, 267, 476, 1001, 271, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 1724, 281, 4375, 7537, 829, 20921, 454, 32621, 281, 12008, 854, 692, 1862, 517, 519, 824, 1688, 803, 3478, 6976, 593, 693, 2547, 476, 272, 540, 519, 476, 277, 914, 338, 568, 476, 272, 268, 271, 269, 27898, 27898, 4649, 277, 454, 284, 476, 271, 269, 29900, 29900, 29900, 692, 11004, 1150, 519, 20772, 1871, 540, 1250, 914, 630, 322, 24031, 476, 277, 4559, 593, 476, 277, 914, 2127, 264, 21591, 271, 269, 27898, 27898, 4649, 277, 1535, 11196, 277, 994, 15200, 454, 271, 269, 29900, 29900, 29900, 1535, 22791, 279, 2020, 284, 476, 271, 269, 19442, 19442, 19442, 692, 6518, 568, 2318, 256, 875, 2097, 286, 13718, 2691, 835, 540, 707, 29156, 914, 3094, 267, 707, 824, 2947, 29156, 914, 338, 6336, 269, 1924, 267, 707, 9819, 666, 581, 29567, 547, 281, 661, 815, 476, 271, 269, 27898, 27898, 4649, 277, 1535, 11196, 277, 264, 1341, 476, 271, 269, 29900, 29900, 29900, 1535, 22791, 279, 910, 476, 276, 264, 815, 910, 273, 267, 799, 596, 7941, 676, 476, 277, 4559, 547, 1205, 910, 271, 269, 18357, 18357, 18357, 269, 1656, 713, 568, 519, 1482, 607, 519, 654, 19123, 781, 2626, 563, 338, 2748, 532, 854, 454, 1892, 24762, 281, 476, 1626, 454, 16274, 281, 2904, 476, 1691, 267, 476, 1001, 278, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 866, 281, 6078, 7537, 829, 20921, 454, 32621, 281, 4258, 3122, 291, 690, 692, 2691, 835, 540, 707, 29156, 914, 3094, 267, 707, 824, 2947, 29156, 914, 338, 6336, 269, 1924, 267, 707, 9819, 666, 581, 29567, 547, 281, 661, 815, 476, 271, 269, 27898, 27898, 4649, 277, 1535, 11196, 277, 264, 1341, 476, 271, 269, 29900, 29900, 29900, 1535, 22791, 279, 910, 476, 276, 264, 815, 910, 273, 267, 799, 596, 7941, 676, 476, 277, 4559, 547, 1205, 910, 271, 269, 18357, 18357, 18357, 269, 1656, 713, 568, 519, 1482, 607, 519, 654, 19123, 781, 2626, 692, 541, 9811, 256, 540, 322, 6847, 256, 972, 568, 1250, 5470, 267, 1775, 1631, 1205, 621, 780, 328, 723, 2944, 713, 2186, 540, 5470, 1354, 2433, 2183, 25659, 332, 1384, 2041, 778, 321, 3518, 11274, 454, 1892, 24762, 281, 476, 16318, 6924, 454, 16274, 281, 2904, 476, 2641, 267, 476, 1001, 274, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 2537, 281, 736, 7537, 829, 20921, 454, 32621, 281, 4258, 3122, 291, 690, 692, 2691, 835, 540, 707, 29156, 914, 3094, 267, 707, 824, 2947, 29156, 914, 338, 6336, 269, 1924, 267, 707, 9819, 666, 581, 29567, 547, 281, 661, 815, 476, 271, 269, 27898, 27898, 4649, 277, 1535, 11196, 277, 264, 1341, 476, 271, 269, 29900, 29900, 29900, 1535, 22791, 279, 910, 476, 276, 264, 815, 910, 273, 267, 799, 596, 7941, 676, 476, 277, 4559, 547, 1205, 910, 271, 269, 18357, 18357, 18357, 269, 1656, 713, 568, 519, 1482, 607, 519, 654, 19123, 781, 2626, 780, 12552, 267, 4258, 3122, 27594, 269, 594, 1223, 711, 22942, 519, 9819, 1966, 269, 7316, 646, 11074, 1223, 581, 2808, 519, 5734, 2557, 540, 519, 914, 267, 855, 1705, 711, 1491, 883, 2272, 9561, 519, 824, 476, 276, 4559, 1354, 12719, 519, 3094, 2179, 269, 2561, 3285, 622, 621, 563, 2252, 519, 5600, 4503, 1169, 1688, 267, 789, 9327, 1405, 4308, 519, 3014, 563, 293, 548, 320, 1805, 858, 454, 1892, 24762, 281, 476, 13893, 10019, 454, 16274, 281, 4239, 476, 866, 267, 476, 1220, 280, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 278, 281, 7367, 281, 4029, 7537, 829, 20921, 454, 32621, 281, 11824, 321, 3518, 11274, 692, 763, 25877, 17188, 476, 279, 281, 272, 267, 950, 3020, 12918, 513, 3094, 1131, 2628, 476, 280, 281, 272, 780, 11039, 267, 602, 513, 514, 1405, 1932, 2620, 513, 12183, 568, 621, 286, 594, 1611, 519, 25877, 568, 2141, 2469, 547, 12183, 596, 585, 1945, 267, 602, 568, 875, 789, 1118, 741, 2724, 780, 5472, 519, 2979, 568, 3564, 803, 267, 855, 594, 3513, 2119, 547, 530, 1228, 998, 621, 2663, 2221, 780, 296, 3314, 24558, 4425, 689, 519, 7917, 631, 3558, 636, 7260, 834, 21547, 7776, 257, 855, 1631, 3494, 602, 972, 568, 513, 10682, 3014, 585, 24558, 4425, 269, 898, 814, 930, 4457, 2012, 602, 4440, 18922, 547, 24558, 4425, 2201, 28238, 6950, 780, 296, 6415, 2386, 24558, 4425, 786, 581, 11014, 2139, 538, 5839, 7776, 855, 922, 10169, 4686, 538, 519, 7330, 1498, 594, 798, 3494, 922, 1869, 2139, 538, 31167, 2135, 328, 5103, 519, 4583, 543, 1631, 5756, 2025, 10071, 1141, 1744, 17369, 625, 941, 10760, 538, 689, 30988, 1175, 547, 1404, 693, 513, 24558, 22517, 3349, 602, 1185, 513, 2628, 13050, 3765, 268, 2745, 593, 519, 11768, 269, 2290, 28643, 18389, 1229, 998, 519, 25877, 543, 4718, 1932, 1082, 540, 1010, 2025, 2828, 689, 30988, 543, 6785, 602, 1945, 683, 325, 13895, 729, 513, 7192, 2393, 563, 617, 1190, 326, 3711, 527, 454, 1892, 24762, 281, 476, 280, 5780, 272, 454, 16274, 281, 8734, 476, 280, 267, 476, 1220, 280, 454, 9802, 476, 1691, 628, 267, 476, 1001, 278, 693, 476, 279, 281, 2190, 281, 5881, 7537, 829, 20921, 454, 32621, 281, 11824, 321, 3518, 11274, 692, 2190, 270, 21327, 815, 269, 9340, 272, 267, 610, 476, 1556, 9077, 610, 476, 272, 538, 476, 280, 780, 763, 25877, 17188, 476, 279, 281, 272, 267, 950, 3020, 12918, 513, 3094, 1131, 2628, 476, 280, 281, 272, 780, 2304, 5470, 1934, 267, 1810, 1405, 1589, 621, 729, 9575, 3267, 476, 279, 281, 272, 568, 3020, 12918, 585, 513, 476, 272, 270, 280, 4960, 692, 4818, 732, 476, 273, 281, 272, 585, 3020, 12918, 593, 476, 1015, 1373, 18202, 1354, 476, 278, 538, 15434, 1186, 267, 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 ]
[ 1118, 513, 1259, 998, 621, 781, 2168, 2589, 563, 763, 1883, 5057, 547, 6604, 540, 16507, 18980, 4345, 568, 676, 2870, 606, 1604, 538, 799, 11912, 1524, 593, 13250, 540, 7509, 543, 4679, 519, 25312, 269, 2659, 1753, 8227, 543, 22285, 9427, 4966, 11129, 547, 2628, 3007, 547, 4025, 538, 519, 2777, 1141, 1216, 568, 2356, 911, 3899, 543, 20483, 5346, 269, 898, 568, 849, 1271, 547, 2628, 3007, 547, 1141, 8022, 568, 4092, 4929, 4679, 28198, 538, 2127, 971, 607, 11647, 267, 2781, 559, 902, 267, 543, 9486, 269, 898, 568, 849, 1271, 585, 9044, 8851, 547, 4734, 6632, 11623, 607, 2973, 543, 1134, 513, 1600, 607, 596, 7654, 666, 269, 898, 568, 849, 1713, 585, 3109, 9044, 17594, 543, 9044, 2126, 547, 2057, 18519, 13294, 2429, 4374, 950, 11195, 568, 3339, 610, 5310, 1164, 563, 2467, 616, 5565, 4427, 6874, 4885, 540, 12833, 5297, 674, 25193, 16429, 639, 4345, 454, 5575, 568, 519, 3505, 2381, 656, 18980, 4345, 799, 3217, 1747, 1034, 4122, 1851, 6375, 4818, 668, 2213, 2550, 269, 6270, 2550, 723, 4057, 6375, 11043, 6127, 799, 949, 581, 519, 1267, 540, 606, 6375, 32759, 4524, 610, 519, 1198, 540, 6375, 657, 6269, 4809, 8069, 267, 513, 2186, 540, 2126, 602, 786, 3715, 21324, 540, 519, 4761, 1062, 2238, 563, 288, 14058, 565, 1242, 3797, 2306, 946, 540, 5277, 6527, 998, 513, 1507, 683, 12712, 6500, 31942, 602, 15450, 5277, 6646, 630, 328, 4318, 269, 11216, 264, 883, 5393, 1434, 2011, 547, 581, 3144, 538, 538, 547, 519, 9224, 28296, 269, 16429, 639, 5563, 616, 1360, 2693, 547, 581, 17515, 2094, 519, 5134, 6646, 2047, 1327, 919, 519, 1966, 1858, 269, 28057, 568, 3592, 8216, 269, 1306, 538, 519, 2013, 540, 2834, 11216, 267, 513, 2407, 1576, 540, 27829, 1242, 3797, 1869, 2115, 547, 581, 8737, 547, 11694, 519, 1198, 269, 769, 2474, 540, 2427, 2360, 267, 27829, 1242, 3797, 568, 1634, 547, 723, 1360, 2370, 610, 1100, 2427, 2360, 269, 9615, 568, 6964, 1283, 1227, 267, 4061, 267, 9427, 1022, 4250, 540, 2348, 5574, 12842, 883, 519, 18072, 563, 763, 824, 1826, 540, 12362, 16507, 18980, 4345, 568, 5312, 967, 565, 550, 18980, 4345, 267, 799, 7429, 519, 3505, 2381, 656, 1826, 267, 568, 7329, 11340, 987, 545, 267, 2495, 602, 972, 568, 3274, 1100, 30753, 4761, 10638, 1966, 602, 949, 723, 3361, 621, 269, 901, 2731, 568, 1447, 1455, 538, 519, 8087, 2829, 982, 538, 2477, 1175, 899, 3127, 543, 20528, 269, 769, 713, 2186, 267, 519, 3968, 949, 3356, 585, 5176, 513, 1032, 543, 1256, 1296, 1510, 1713, 3441, 547, 7783, 5160, 269, 5871, 2589, 1331, 1279, 3410, 15677, 267, 11132, 11926, 543, 3308, 15717, 3361, 676, 519, 11926, 540, 3413, 21719, 8031, 540, 519, 3068, 563, 306, 19434, 4345, 568, 513, 1634, 547, 581, 513, 14553, 513, 9190, 1759, 543, 3644, 3697, 3968, 855, 972, 814, 1044, 17729, 10372, 540, 621, 811, 543, 811, 540, 513, 16507, 3968, 269, 634, 2208, 540, 13271, 538, 519, 15865, 6753, 538, 519, 2777, 666, 1291, 547, 713, 1880, 10792, 3968, 2523, 538, 1453, 269, 634, 554, 1513, 4554, 2665, 540, 18980, 4345, 267, 5312, 18980, 4345, 267, 9570, 711, 5612, 2087, 519, 1560, 781, 2783, 609, 11216, 610, 5310, 1232, 784, 652, 1218, 269, 24930, 267, 3744, 267, 543, 9044, 32598, 4966, 14353, 602, 519, 1560, 781, 4761, 1062, 568, 2965, 32232, 538, 1931, 547, 13271, 610, 9044, 24032, 32415, 519, 1560, 269, 674, 2426, 639, 543, 9044, 24032, 1267, 538, 519, 18980, 19659, 547, 2611, 20714, 539, 585, 1279, 5712, 540, 942, 269, 631, 843, 1168, 9427, 543, 9044, 2126, 616, 2556, 585, 26016, 1436, 540, 538, 1931, 547, 2061, 519, 3262, 540, 891, 2175, 269, 0, 300, 15412, 5735, 568, 1373, 11368, 676, 3875, 8516, 16929, 538, 8581, 269, 13575, 267, 9561, 2597, 3884, 1406, 2241, 543, 606, 2653, 1184, 607, 1082, 1589, 269, 589, 1713, 2179, 540, 25212, 779, 7264, 723, 2016, 909, 593, 741, 2597, 269, 31814, 814, 5280, 1346, 547, 1174, 519, 3334, 602, 1860, 938, 8516, 1377, 269, 901, 1007, 8798, 814, 3144, 1160, 8516, 538, 25212, 547, 1776, 1377, 269, 3371, 616, 513, 1906, 1919, 4502, 5329, 909, 538, 2247, 950, 11836, 1022, 2319, 538, 25212, 912, 268, 898, 1175, 3884, 1406, 513, 835, 6066, 3364, 269, 898, 3340, 513, 2603, 540, 3646, 543, 8990, 269, 11778, 616, 1152, 7298, 585, 513, 1808, 1974, 563, 268, 589, 1268, 779, 2732, 7506, 519, 1377, 540, 513, 1268, 269, 4475, 267, 649, 1058, 581, 6297, 593, 519, 2179, 540, 1426, 649, 8532, 563, 268, 4658, 723, 1114, 3853, 269, 898, 568, 4061, 1271, 547, 2327, 596, 1305, 707, 9072, 1354, 19480, 856, 883, 519, 2344, 563, 22137, 5815, 602, 938, 1699, 2486, 6140, 17743, 338, 593, 22938, 1426, 269, 1452, 5686, 540, 1426, 1860, 1312, 519, 2597, 543, 519, 1648, 2157, 540, 513, 1268, 269, 808, 6064, 3536, 616, 1634, 547, 2270, 5906, 1164, 8477, 543, 3668, 540, 5567, 269, 31814, 2417, 1336, 856, 602, 7920, 4616, 540, 22938, 3536, 5540, 938, 1072, 269, 7102, 605, 8516, 538, 25212, 4099, 24115, 2471, 689, 10438, 7188, 2996, 1164, 538, 8477, 269, 11554, 856, 1247, 1869, 10438, 891, 5686, 540, 6980, 1118, 621, 2352, 585, 513, 1268, 547, 8774, 1055, 519, 13311, 3170, 538, 519, 1560, 269, 30581, 538, 25212, 5796, 1004, 547, 8532, 3592, 519, 1482, 2179, 540, 8477, 789, 6633, 950, 16706, 269, 901, 2306, 621, 2653, 585, 513, 1268, 547, 2226, 1010, 1699, 2450, 543, 8774, 1055, 930, 13311, 3170, 538, 519, 1560, 563, 11101, 267, 18117, 1670, 2090, 7000, 602, 4057, 8023, 6208, 1223, 1267, 538, 3978, 1072, 2188, 971, 607, 8482, 267, 2295, 3676, 267, 543, 824, 5312, 2175, 269, 1452, 3676, 666, 581, 6417, 610, 15286, 676, 10438, 2635, 3536, 971, 607, 10808, 267, 5613, 267, 543, 5388, 269, 2913, 721, 3444, 936, 543, 1413, 693, 875, 930, 6980, 1860, 2597, 912, 268, 19871, 543, 2597, 268, 26287, 1231, 616, 835, 540, 519, 1898, 991, 538, 519, 1560, 269, 14171, 1346, 3638, 538, 5946, 13514, 3875, 5383, 585, 1346, 945, 1131, 899, 547, 8774, 1055, 7050, 6550, 269, 2913, 721, 1413, 693, 930, 5383, 540, 10438, 1426, 2010, 3638, 538, 5946, 269, 3689, 267, 1346, 945, 8532, 6980, 3638, 609, 5946, 4043, 547, 1745, 2407, 1310, 10438, 1507, 5666, 540, 519, 7594, 269, 19627, 267, 1346, 3638, 538, 5946, 723, 1164, 5687, 545, 2360, 269, 769, 2110, 267, 596, 786, 723, 519, 2877, 1648, 547, 3635, 269, 14936, 267, 18117, 1670, 2090, 723, 8810, 602, 1004, 945, 8532, 3536, 3638, 538, 5946, 3362, 10536, 10709, 4887, 950, 2300, 2358, 563, 268, 2961, 8510, 6233, 543, 2597, 268, 31814, 2090, 5815, 602, 1004, 945, 8532, 6980, 609, 1970, 11950, 543, 811, 5946, 786, 6336, 621, 5488, 3379, 547, 8532, 519, 6587, 269, 1703, 616, 1114, 5686, 540, 11950, 856, 972, 513, 1268, 1522, 8532, 269, 31814, 1031, 538, 1160, 8516, 538, 25212, 7512, 513, 1445, 593, 519, 2298, 540, 11950, 789, 8532, 267, 2864, 982, 7274, 563, 1607, 568, 519, 1034, 4280, 2055, 1851, 1160, 268, 8234, 6887, 2066, 25212, 269, 1684, 596, 917, 602, 972, 616, 1079, 5686, 540, 1004, 538, 1169, 15547, 267, 12077, 1346, 945, 1265, 621, 2653, 547, 8774, 1055, 519, 13311, 3170, 538, 519, 1560, 543, 1346, 945, 6560, 547, 3035, 741, 3077, 286, 2368, 1004, 3112, 6336, 621, 5103, 519, 3646, 543, 8990, 789, 2322, 883, 713, 1184, 269, 31814, 5280, 8516, 6887, 538, 25212, 1174, 875, 938, 2732, 7506, 938, 2597, 269, 13575, 267, 972, 616, 1079, 5686, 540, 3170, 10057, 267, 12077, 519, 1434, 543, 519, 3983, 9600, 563, 5978, 1699, 1158, 6980, 616, 2407, 540, 3983, 9600, 269, 1452, 6980, 6140, 17663, 540, 22938, 6980, 269, 5525, 7866, 602, 1004, 538, 25212, 543, 2066, 519, 8608, 616, 1932, 13110, 547, 5965, 513, 2635, 7594, 269, 1358, 6140, 546, 710, 538, 3728, 3536, 543, 14060, 269, 4107, 22938, 6980, 2270, 519, 3983, 3170, 269, 901, 1249, 2306, 621, 2352, 585, 513, 1268, 547, 6336, 2597, 543, 568, 2404, 609, 4049, 1072, 2188, 269, 31814, 4966, 5000, 1004, 547, 8532, 6980, 3638, 538, 1434, 9600, 971, 607, 519, 15060, 476, 274, 267, 1851, 1866, 563, 299, 3151, 621, 3884, 1406, 2352, 607, 1082, 1004, 1589, 269, 898, 14122, 4189, 513, 2635, 7594, 543, 16706, 5781, 269, 11778, 616, 711, 31873, 855, 786, 581, 2938, 607, 942, 22264, 269, 1520, 9953, 519, 1007, 960, 856, 7678, 543, 3035, 707, 5551, 2597, 269, 0, 3528, 6424, 674, 269, 595, 4319, 454, 2750, 12371, 10367, 693, 519, 1284, 31483, 10304, 4182, 30211, 21246, 958, 693, 519, 5717, 540, 1514, 6963, 619, 267, 10304, 12665, 267, 8706, 1235, 267, 543, 519, 9086, 543, 12205, 602, 741, 9840, 3812, 269, 855, 519, 1284, 31483, 10304, 10806, 729, 2899, 1631, 711, 3362, 519, 1500, 689, 11407, 543, 1167, 27641, 9620, 282, 621, 729, 2899, 10123, 3710, 543, 556, 1790, 22004, 676, 1259, 540, 519, 1554, 8386, 6377, 4205, 540, 2182, 1790, 5962, 10492, 543, 791, 520, 1304, 267, 2356, 5462, 6800, 269, 22685, 1154, 513, 834, 20931, 540, 6197, 257, 21169, 267, 16586, 593, 28054, 281, 3245, 1284, 31483, 547, 13609, 267, 476, 4489, 280, 268, 4350, 276, 15225, 875, 10304, 11407, 543, 3795, 723, 1044, 12261, 883, 10304, 2853, 998, 8378, 10492, 543, 3261, 730, 267, 29653, 267, 610, 556, 268, 10864, 582, 7007, 676, 1797, 540, 5215, 540, 10304, 7218, 563, 5649, 6732, 610, 8281, 16586, 593, 28054, 281, 3245, 1284, 31483, 547, 13609, 7300, 454, 16032, 24067, 1686, 2835, 454, 763, 10304, 10806, 729, 2899, 835, 540, 1082, 22225, 540, 519, 1284, 31483, 6243, 269, 634, 1284, 31483, 11571, 538, 9111, 31030, 547, 1100, 1507, 2268, 2390, 519, 10304, 1062, 781, 5578, 547, 1683, 4436, 17037, 513, 5934, 540, 513, 3119, 1448, 540, 5958, 543, 5626, 16102, 1369, 519, 3068, 540, 519, 2487, 10898, 547, 799, 789, 9364, 1044, 20114, 676, 1797, 540, 519, 4539, 540, 519, 3765, 31419, 4655, 267, 4838, 267, 543, 10637, 563, 8777, 1633, 543, 519, 13814, 267, 8050, 781, 11440, 15712, 540, 519, 476, 1626, 628, 543, 476, 1704, 628, 5553, 267, 16545, 8050, 607, 24271, 559, 612, 543, 632, 2102, 4733, 3046, 321, 12579, 540, 17485, 2587, 7062, 682, 344, 12629, 2258, 571, 630, 1492, 4563, 26499, 1070, 538, 21597, 609, 519, 7060, 540, 834, 18872, 652, 14334, 257, 543, 14593, 676, 1797, 540, 834, 323, 1046, 2188, 269, 834, 769, 8050, 781, 17890, 1744, 20760, 267, 12756, 1546, 10817, 345, 2006, 7710, 875, 713, 3730, 27313, 1436, 1500, 922, 1797, 883, 1977, 2245, 910, 543, 9863, 2556, 547, 519, 1646, 540, 17642, 8864, 563, 293, 1168, 6082, 538, 2342, 723, 5293, 998, 971, 3728, 1514, 267, 2797, 543, 13075, 11941, 607, 18940, 814, 936, 519, 2250, 15823, 1296, 269, 6424, 17340, 2421, 1318, 1934, 4559, 856, 519, 4277, 6561, 540, 713, 7187, 1533, 267, 585, 7366, 540, 1296, 693, 519, 7532, 29891, 7941, 540, 2342, 267, 513, 15309, 545, 1100, 3476, 25552, 676, 1797, 540, 2470, 267, 971, 513, 2603, 540, 4171, 2551, 20866, 12236, 513, 23029, 689, 8105, 15823, 1296, 538, 519, 2250, 267, 2943, 799, 713, 1554, 568, 1510, 8969, 835, 540, 519, 865, 1454, 14547, 20334, 540, 519, 552, 340, 5742, 563, 288, 22684, 540, 4432, 595, 573, 3568, 2025, 25780, 540, 5053, 10424, 5171, 543, 741, 18939, 945, 954, 3405, 787, 609, 519, 3943, 267, 2296, 267, 21730, 267, 8857, 880, 267, 543, 4436, 838, 11817, 543, 741, 18939, 6961, 538, 3013, 563, 268, 1133, 20129, 281, 21977, 23671, 5675, 5851, 454, 268, 634, 10610, 540, 519, 1230, 638, 626, 11456, 281, 5253, 267, 17813, 543, 519, 20616, 15232, 538, 5053, 3013, 267, 476, 14983, 273, 1700, 10204, 271, 630, 27287, 21126, 593, 7276, 994, 268, 14313, 540, 3933, 1105, 673, 21637, 281, 674, 2946, 6773, 517, 267, 15243, 22451, 267, 543, 519, 11572, 3718, 540, 519, 4258, 1998, 1512, 681, 4461, 599, 630, 22137, 538, 7216, 7073, 3864, 3778, 631, 16810, 994, 268, 4000, 781, 1261, 28282, 344, 3245, 2342, 781, 5664, 12698, 267, 4706, 7502, 8985, 543, 7073, 1763, 30029, 454, 268, 6576, 543, 4789, 267, 4256, 23848, 543, 31808, 1145, 454, 21206, 9623, 585, 16586, 593, 28054, 281, 3245, 1284, 31483, 547, 13609, 454, 26876, 753, 593, 28054, 281, 3245, 1284, 31483, 547, 13609, 676, 6424, 674, 269, 595, 4319, 0, 763, 6662, 540, 713, 3296, 568, 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 ]
[ 0, 258, 1404, 18258, 454, 258, 4223, 5362, 29965, 267, 544, 321, 21857, 273, 454, 258, 476, 1321, 270, 6860, 270, 1001, 277, 454, 18851, 8138, 19055, 518, 9074, 585, 16505, 719, 692, 1607, 9074, 3568, 519, 1016, 19055, 518, 547, 4383, 513, 2582, 3014, 538, 519, 16505, 719, 2561, 269, 3097, 9743, 1734, 540, 7591, 2099, 513, 2582, 3014, 269, 476, 1403, 596, 1616, 547, 1964, 691, 513, 1007, 3014, 267, 596, 616, 3097, 1410, 4624, 547, 1118, 513, 1007, 3236, 540, 7591, 780, 763, 1016, 19055, 518, 7591, 21314, 519, 31784, 267, 3440, 267, 543, 20398, 269, 476, 1452, 616, 2203, 3615, 269, 22322, 19853, 5049, 616, 3989, 538, 3631, 18258, 780, 7197, 540, 707, 960, 593, 713, 7084, 786, 581, 538, 2901, 713, 9074, 610, 3631, 18258, 563, 15371, 513, 25961, 1505, 12851, 538, 713, 9074, 610, 3631, 18258, 568, 1419, 513, 7294, 454, 22568, 269, 476, 1403, 596, 798, 711, 917, 267, 2307, 593, 623, 807, 3960, 320, 543, 649, 786, 2626, 27969, 454, 5228, 21635, 1104, 27661, 5228, 3014, 273, 323, 1104, 27661, 5228, 3631, 1104, 27661, 5814, 4351, 692, 321, 8784, 306, 895, 815, 14675, 3488, 338, 29694, 272, 9884, 822, 5073, 19874, 306, 2432, 815, 1496, 306, 895, 3488, 30066, 272, 9884, 822, 30670, 306, 895, 3488, 30066, 273, 9884, 822, 10807, 2639, 338, 2925, 306, 895, 815, 14675, 3488, 24189, 272, 9884, 822, 17210, 692, 258, 623, 6020, 300, 14473, 681, 308, 4041, 281, 7591, 666, 1152, 1569, 10305, 538, 3631, 18258, 3842, 1205, 1562, 270, 3553, 1562, 454, 258, 7591, 568, 10691, 4847, 547, 1569, 4376, 538, 2736, 719, 18258, 630, 8138, 19055, 619, 616, 711, 454, 258, 15868, 547, 1569, 4376, 538, 741, 2385, 269, 1677, 1294, 1946, 267, 1491, 11483, 476, 25628, 273, 9239, 5035, 7591, 24998, 2187, 825, 5727, 2304, 3236, 8060, 513, 2582, 3014, 540, 2736, 719, 563, 8931, 825, 901, 1016, 19055, 518, 814, 513, 4704, 547, 519, 3440, 267, 31784, 267, 543, 20398, 269, 898, 1918, 919, 519, 3097, 825, 3440, 267, 9427, 1022, 20398, 607, 2556, 269, 476, 1879, 519, 3014, 568, 4465, 267, 621, 13515, 1918, 908, 269, 22322, 825, 1411, 1058, 1711, 513, 21832, 3236, 540, 7591, 630, 514, 16505, 719, 264, 952, 596, 1616, 547, 1118, 513, 1007, 3014, 563, 8931, 825, 1403, 596, 1616, 547, 23249, 519, 3014, 267, 2995, 713, 17120, 547, 2721, 267, 855, 798, 711, 9337, 269, 476, 6423, 3097, 825, 1016, 19055, 619, 18258, 689, 17976, 476, 1839, 585, 606, 1383, 563, 8931, 825, 5442, 4306, 23814, 11083, 307, 6020, 289, 7473, 2464, 912, 1038, 9041, 335, 18150, 1496, 303, 18150, 13912, 519, 31784, 547, 1404, 609, 3097, 1038, 9041, 321, 9581, 1496, 4289, 540, 645, 4459, 13912, 519, 1592, 540, 20398, 1869, 6967, 3097, 1038, 9041, 4252, 567, 1496, 30761, 267, 610, 7183, 952, 7996, 585, 513, 4196, 13912, 476, 519, 3440, 547, 606, 1493, 454, 1038, 9041, 339, 1845, 476, 1496, 842, 13843, 476, 271, 13912, 519, 1297, 540, 13290, 2451, 28329, 8931, 825, 1306, 596, 666, 1294, 267, 782, 540, 891, 10305, 616, 6456, 269, 476, 1411, 949, 1265, 602, 596, 1616, 547, 454, 825, 1569, 606, 14487, 538, 1362, 16505, 719, 269, 898, 568, 15502, 952, 596, 798, 267, 855, 596, 10790, 312, 10691, 589, 6717, 8577, 3097, 825, 5990, 11083, 307, 6020, 289, 7473, 2464, 14192, 3918, 6311, 14877, 269, 1411, 1590, 946, 513, 1205, 614, 543, 5924, 1305, 614, 585, 1022, 14487, 602, 3097, 825, 596, 991, 547, 1569, 538, 16505, 719, 269, 476, 8307, 1039, 519, 1205, 1562, 543, 1305, 1562, 602, 596, 991, 585, 454, 825, 16505, 719, 563, 8931, 825, 1411, 949, 1689, 1022, 540, 519, 10305, 1657, 607, 596, 1294, 3514, 269, 1280, 1383, 267, 596, 949, 1616, 454, 825, 547, 1039, 1007, 3615, 593, 519, 5496, 630, 324, 3052, 1379, 13522, 1040, 476, 1403, 596, 1118, 2242, 267, 5225, 1592, 454, 825, 519, 2242, 609, 519, 23223, 1218, 563, 4449, 22322, 825, 700, 8780, 27749, 11083, 307, 6020, 289, 7473, 2464, 630, 13263, 5990, 7644, 5442, 309, 2752, 296, 3198, 4811, 264, 28313, 17692, 715, 4488, 8577, 14473, 22562, 1038, 9041, 16557, 1496, 842, 13912, 634, 6345, 781, 6060, 630, 26421, 15839, 568, 4502, 476, 1015, 2798, 994, 1038, 9041, 14588, 539, 8548, 738, 328, 680, 1512, 1496, 15615, 13912, 519, 27261, 518, 585, 519, 3432, 269, 3399, 338, 693, 476, 272, 269, 271, 543, 4679, 454, 14030, 567, 676, 1547, 272, 1169, 1764, 609, 519, 31784, 454, 825, 8173, 8931, 8931, 825, 1948, 717, 4953, 307, 8991, 6730, 590, 4953, 307, 8991, 630, 2177, 14877, 5084, 291, 17692, 9358, 17252, 3633, 5990, 300, 994, 825, 1219, 1205, 299, 1161, 4311, 2187, 1038, 5727, 14303, 5281, 519, 1297, 540, 13290, 2451, 12163, 1038, 2132, 1582, 11519, 339, 1845, 454, 825, 454, 825, 1219, 1205, 289, 9581, 4311, 2187, 1038, 5727, 14303, 5281, 519, 1297, 540, 20398, 2451, 12163, 1038, 2132, 7003, 4311, 11519, 321, 9581, 994, 8931, 825, 1219, 1205, 30360, 4311, 2187, 1038, 5727, 14303, 5281, 519, 6345, 781, 1699, 6060, 12163, 1038, 2132, 1582, 11519, 16557, 28329, 825, 1948, 5442, 296, 2316, 3201, 22003, 2207, 630, 20598, 1106, 264, 9215, 595, 3918, 12442, 623, 4696, 13036, 2464, 6730, 19836, 2975, 16775, 454, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 5727, 1262, 17746, 1192, 528, 4995, 6282, 525, 513, 1007, 7591, 3236, 12163, 13872, 1038, 1582, 11519, 14588, 539, 8548, 738, 328, 680, 1512, 284, 272, 269, 271, 454, 1038, 1582, 11519, 16557, 284, 271, 454, 1038, 1582, 11519, 321, 9581, 284, 22056, 10734, 9581, 4590, 1038, 1582, 11519, 335, 18150, 284, 303, 18150, 263, 19417, 284, 303, 4696, 291, 4041, 318, 4047, 20846, 267, 12296, 284, 303, 4696, 291, 4041, 318, 310, 2839, 8025, 2676, 23351, 586, 284, 303, 4696, 291, 4041, 318, 29996, 12396, 4953, 267, 15640, 10233, 284, 3712, 768, 617, 601, 11065, 299, 16604, 2676, 23351, 1535, 284, 294, 28719, 318, 310, 2839, 8025, 270, 273, 994, 1038, 1582, 11519, 4252, 22561, 454, 1038, 1582, 11519, 339, 1845, 284, 301, 9331, 21612, 318, 307, 7838, 10064, 28329, 825, 1948, 772, 11520, 12442, 631, 24518, 7495, 306, 9215, 631, 10976, 292, 623, 4696, 291, 4041, 267, 590, 2207, 12717, 6730, 631, 10976, 292, 5990, 645, 17920, 454, 825, 1219, 9337, 303, 18150, 4311, 267, 514, 335, 2187, 1038, 5727, 1607, 1505, 6087, 519, 3593, 547, 1847, 519, 31784, 676, 1210, 519, 2451, 454, 19930, 1318, 21985, 12163, 1038, 521, 284, 271, 454, 1038, 546, 284, 277, 28329, 1038, 952, 538, 335, 18994, 318, 4486, 5091, 1144, 3488, 3847, 262, 2187, 2018, 952, 1582, 11519, 335, 18150, 16000, 2999, 546, 912, 3546, 521, 23785, 271, 454, 2018, 3116, 912, 3546, 521, 268, 284, 272, 454, 1038, 8640, 538, 335, 18994, 318, 4486, 5091, 1144, 3488, 2431, 262, 2187, 27030, 2018, 952, 1582, 11519, 335, 18150, 16192, 266, 323, 3436, 717, 28719, 318, 310, 2839, 8025, 912, 3546, 521, 23785, 271, 454, 2018, 3116, 912, 3546, 521, 23785, 272, 454, 25639, 454, 1038, 1582, 11519, 335, 18150, 11859, 23785, 323, 265, 338, 7531, 825, 1219, 4196, 30761, 4311, 2187, 1038, 5727, 1607, 1505, 1412, 338, 12883, 262, 519, 3440, 676, 10912, 519, 4020, 528, 11831, 3890, 12163, 1038, 4196, 306, 895, 269, 2452, 4590, 1038, 1582, 11519, 4252, 284, 30761, 263, 12296, 284, 289, 17920, 318, 14888, 4456, 4953, 2207, 267, 19417, 284, 289, 17920, 318, 14888, 4456, 4953, 2207, 2676, 13376, 6445, 10233, 284, 3712, 768, 617, 601, 10611, 3633, 21726, 284, 294, 28719, 318, 310, 2839, 8025, 270, 273, 2676, 13376, 586, 284, 294, 28719, 318, 4047, 20846, 270, 273, 2020, 825, 1219, 9337, 30761, 4311, 2187, 1038, 5727, 1607, 1505, 7125, 519, 1505, 547, 1847, 519, 3440, 538, 9074, 3631, 454, 19930, 952, 519, 3440, 1843, 568, 711, 7183, 12163, 1038, 952, 711, 1582, 11519, 4252, 568, 7183, 912, 2018, 1582, 11519, 4252, 269, 26303, 4590, 27030, 258, 631, 24518, 7495, 9215, 667, 6938, 310, 5990, 623, 4696, 13036, 2464, 267, 645, 17920, 267, 6730, 19836, 2975, 16775, 454, 825, 1219, 2721, 4311, 267, 1613, 2187, 1038, 5727, 19686, 547, 2721, 31784, 267, 20398, 543, 3440, 563, 19930, 901, 1505, 568, 1572, 676, 519, 2721, 1505, 538, 9074, 2736, 719, 12163, 1038, 1948, 19352, 20398, 8931, 1038, 585, 536, 538, 1582, 11519, 321, 9581, 281, 3097, 2018, 536, 6155, 3863, 263, 1613, 994, 13872, 1038, 1948, 19352, 31784, 454, 1038, 533, 284, 1345, 11519, 335, 18150, 454, 1038, 533, 6155, 3863, 263, 1613, 994, 13872, 1038, 1948, 19352, 11831, 28329, 1038, 3440, 284, 1345, 11519, 4252, 454, 1038, 952, 711, 3440, 568, 7183, 912, 2018, 3440, 6155, 3863, 263, 1613, 994, 13872, 825, 1948, 670, 5085, 25807, 631, 24518, 7495, 306, 11123, 11682, 22076, 12903, 6730, 2910, 17247, 3041, 12778, 667, 4953, 4488, 3582, 454, 825, 1219, 15839, 6831, 3326, 1707, 4311, 2187, 1038, 5727, 5719, 1023, 609, 513, 15839, 16580, 563, 19930, 901, 1505, 18788, 519, 12936, 15839, 689, 9041, 321, 9581, 12163, 13872, 1038, 585, 536, 538, 1582, 11519, 321, 9581, 912, 2018, 952, 536, 6983, 3326, 1938, 4311, 11519, 4252, 2187, 3546, 1582, 11519, 4252, 12500, 8784, 3488, 344, 5073, 3546, 1775, 284, 1345, 11519, 321, 9581, 28827, 6357, 994, 3546, 1582, 14491, 30360, 4311, 11519, 321, 9581, 5157, 7481, 3546, 4351, 26716, 4069, 263, 19874, 306, 2432, 1040, 2452, 4590, 3546, 1642, 1582, 11519, 321, 9581, 5157, 2639, 4449, 454, 825, 1219, 31784, 6831, 3326, 1707, 4311, 2187, 1038, 5727, 19686, 547, 2638, 952, 3440, 2458, 1938, 609, 31784, 269, 1656, 547, 25483, 3440, 454, 19930, 543, 2333, 519, 3432, 563, 19930, 1403, 519, 3440, 16125, 519, 31784, 1247, 3001, 20733, 630, 514, 20777, 25483, 994, 19930, 1287, 519, 3440, 781, 586, 11282, 568, 1305, 547, 519, 10465, 540, 519, 6885, 2676, 19930, 4929, 16458, 4252, 3890, 547, 2132, 6936, 12163, 2018, 454, 1038, 952, 1582, 11519, 335, 18150, 6983, 3326, 1938, 4311, 11519, 4252, 264, 543, 1582, 11519, 4252, 10947, 309, 344, 3890, 283, 271, 912, 2018, 1582, 11519, 4252, 12500, 8784, 3488, 344, 5073, 2018, 952, 1582, 11519, 4252, 10947, 309, 344, 3890, 283, 279, 269, 271, 912, 3546, 1582, 11519, 14588, 539, 8548, 738, 328, 680, 1512, 23785, 271, 269, 4962, 454, 3546, 1582, 11519, 4252, 15630, 309, 344, 4311, 11519, 14588, 539, 8548, 738, 328, 680, 1512, 994, 3546, 25483, 306, 895, 269, 2452, 4590, 1038, 8640, 1582, 11519, 335, 18150, 6983, 3326, 1938, 4311, 11519, 4252, 264, 543, 1582, 11519, 4252, 10947, 309, 344, 3890, 285, 271, 912, 2018, 1582, 11519, 4252, 15630, 312, 263, 271, 994, 27030, 825, 1948, 5084, 291, 4888, 312, 5084, 14888, 3582, 3201, 631, 24518, 7495, 306, 630, 293, 8085, 14877, 9501, 4488, 9281, 296, 3633, 264, 28313, 454, 825, 1219, 16458, 4252, 4311, 2187, 1038, 5727, 14303, 5281, 6936, 952, 3440, 4422, 2250, 2539, 10465, 282, 8771, 6382, 454, 19930, 6396, 547, 2638, 952, 3440, 4682, 2250, 2539, 10465, 543, 547, 4188, 454, 19930, 14487, 9041, 339, 1845, 9935, 563, 19930, 901, 1505, 1568, 676, 10912, 519, 1505, 16458, 4252, 3890, 1369, 519, 454, 19930, 1362, 11831, 12163, 2018, 454, 1038, 952, 1582, 11519, 4252, 6185, 1737, 4252, 10031, 2018, 1582, 11519, 339, 1845, 268, 284, 272, 454, 2018, 1582, 11519, 14588, 539, 8548, 738, 328, 680, 1512, 284, 272, 454, 2018, 2132, 6936, 454, 1038, 2132, 8771, 692, 825, 1219, 1039, 30360, 4311, 14720, 4459, 2187, 1038, 5727, 3849, 1091, 4557, 2798, 547, 519, 6345, 781, 6060, 454, 19930, 20368, 2678, 15839, 281, 634, 15839, 519, 3440, 2458, 3660, 1996, 454, 19930, 2776, 935, 1288, 281, 15839, 568, 513, 15839, 1843, 12163, 2018, 454, 1038, 1871, 284, 11274, 17301, 6357, 4459, 13885, 265, 1345, 11519, 4252, 10947, 309, 344, 3890, 8358, 275, 994, 1038, 1582, 11519, 16557, 23785, 1015, 265, 7407, 7531, 3698, 1711, 10734, 9581, 10031, 1038, 5727, 14303, 5281, 513, 1592, 540, 645, 4459, 3615, 454, 19930, 589, 25961, 1599, 547, 1711, 20398, 12163, 1038, 1003, 4900, 284, 271, 454, 1038, 15381, 9581, 284, 271, 454, 1038, 20398, 17342, 2639, 1038, 1247, 1003, 4900, 283, 16576, 27912, 318, 4629, 16703, 912, 2018, 454, 2018, 952, 1003, 4900, 2525, 271, 912, 3546, 7510, 284, 294, 28719, 318, 4047, 20846, 5174, 305, 27912, 318, 312, 318, 29996, 12396, 4953, 454, 2018, 3116, 912, 3546, 7510, 268, 284, 16576, 27912, 318, 306, 7968, 318, 309, 266, 16576, 27912, 318, 4047, 20846, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9754, 4092, 538, 535, 738, 517, 267, 4779, 563, 268, 634, 3094, 8725, 5939, 650, 12092, 281, 7907, 602, 24458, 602, 3094, 8725, 5939, 650, 729, 513, 1390, 6205, 3094, 8725, 682, 517, 731, 838, 27247, 5939, 650, 729, 4535, 593, 519, 476, 1789, 628, 562, 4912, 476, 6942, 275, 563, 268, 12736, 8725, 5939, 650, 2110, 12092, 910, 4647, 607, 2262, 2703, 630, 25269, 1315, 2703, 343, 1070, 7824, 3758, 630, 23486, 1070, 1257, 3758, 630, 339, 868, 264, 610, 1224, 2228, 3094, 8725, 5939, 650, 12092, 21099, 2829, 2006, 267, 610, 1807, 267, 2278, 543, 563, 14532, 28420, 3094, 8725, 5939, 650, 607, 513, 7347, 21099, 6205, 609, 513, 524, 580, 541, 267, 7555, 6109, 1996, 24141, 14699, 1282, 1158, 2112, 13797, 855, 269, 2991, 835, 540, 519, 13074, 3649, 1080, 538, 13629, 1686, 2443, 811, 982, 476, 736, 1296, 2443, 519, 3791, 543, 3803, 4320, 540, 13275, 812, 17998, 11313, 338, 12092, 540, 3094, 8725, 5939, 650, 267, 968, 1492, 2063, 17794, 2223, 568, 6368, 269, 634, 5939, 650, 1788, 6941, 3604, 1063, 519, 2025, 543, 1007, 21820, 540, 5939, 650, 781, 4013, 12092, 543, 519, 18913, 3561, 12531, 269, 11184, 3094, 8725, 5939, 650, 729, 5963, 606, 5863, 812, 4352, 1034, 1134, 1634, 585, 3056, 519, 8087, 10806, 998, 32685, 4512, 607, 6305, 14012, 267, 5939, 650, 729, 849, 606, 15813, 610, 1807, 543, 30508, 269, 12736, 8725, 5939, 650, 729, 835, 540, 519, 1655, 8153, 2829, 5443, 538, 21099, 1686, 4535, 883, 513, 1272, 540, 17979, 267, 646, 6131, 5128, 547, 1857, 3028, 607, 6305, 14012, 1282, 1158, 2112, 13797, 267, 646, 269, 0, 14294, 538, 610, 19193, 547, 1205, 3238, 538, 938, 5717, 563, 763, 1362, 568, 2324, 998, 1620, 1018, 621, 1797, 547, 581, 25274, 2148, 622, 267, 543, 649, 723, 5941, 875, 1373, 25274, 2148, 622, 2882, 630, 272, 264, 1620, 875, 1344, 543, 2029, 960, 267, 630, 273, 264, 875, 519, 2707, 540, 1344, 543, 2029, 960, 267, 543, 630, 274, 264, 875, 547, 5968, 5693, 827, 2029, 563, 26139, 267, 9684, 596, 585, 13713, 14775, 547, 519, 1739, 2055, 912, 11073, 540, 782, 519, 2930, 1983, 596, 4865, 267, 799, 835, 568, 519, 1034, 3407, 888, 1692, 2565, 798, 596, 9260, 519, 2702, 547, 4001, 3054, 1007, 2930, 1983, 888, 1432, 9036, 2645, 798, 596, 1265, 1034, 3730, 888, 1692, 798, 596, 5581, 3059, 7924, 267, 543, 875, 1281, 621, 9305, 547, 707, 2816, 888, 2710, 596, 946, 27707, 29878, 286, 1403, 865, 267, 875, 1419, 888, 2252, 1022, 267, 1018, 9036, 1983, 3160, 610, 20546, 519, 2956, 540, 707, 2930, 1983, 888, 1432, 3906, 267, 12326, 267, 610, 7270, 267, 952, 1022, 267, 4217, 596, 538, 5329, 1699, 593, 519, 5767, 7835, 538, 519, 2930, 2792, 2361, 888, 14187, 9939, 547, 596, 454, 663, 9684, 596, 267, 0, 293, 27518, 267, 4989, 476, 1015, 267, 476, 1220, 280, 454, 303, 4660, 769, 9509, 454, 2691, 646, 1185, 4607, 519, 4235, 267, 4906, 1767, 267, 834, 2005, 568, 8737, 1701, 2060, 602, 267, 646, 6367, 539, 1010, 2212, 543, 5795, 909, 1010, 6891, 563, 263, 297, 2129, 476, 866, 281, 1789, 715, 4353, 994, 763, 8360, 834, 2005, 568, 8737, 257, 568, 519, 835, 2262, 538, 5259, 1572, 15067, 601, 652, 2967, 27401, 621, 849, 3947, 519, 2495, 540, 834, 335, 4660, 538, 2407, 8487, 763, 13029, 540, 713, 8231, 568, 1271, 547, 721, 4534, 3501, 13029, 630, 339, 564, 601, 652, 2967, 1040, 769, 5259, 519, 3501, 13029, 19752, 513, 2250, 2962, 267, 519, 1198, 540, 799, 5170, 883, 519, 1459, 269, 898, 814, 1044, 6192, 543, 568, 1869, 2347, 269, 634, 1198, 540, 519, 13029, 538, 713, 8231, 568, 513, 2631, 540, 1710, 1275, 563, 300, 9567, 2023, 543, 7085, 10247, 533, 1819, 936, 1082, 540, 891, 2256, 328, 14186, 543, 11731, 547, 1732, 1174, 1715, 11620, 5259, 269, 1358, 4767, 602, 2256, 328, 14186, 616, 1419, 5189, 676, 519, 8360, 15067, 601, 652, 2967, 267, 2356, 2854, 538, 606, 28484, 6073, 10834, 602, 519, 3915, 1185, 1044, 6976, 538, 2407, 269, 4649, 634, 17185, 814, 1044, 6192, 269, 634, 7963, 814, 1044, 6976, 1055, 269, 31679, 601, 652, 2967, 4534, 621, 568, 8737, 563, 5649, 606, 21626, 827, 15067, 601, 652, 2967, 912, 24078, 267, 1772, 1656, 11408, 4024, 2142, 454, 307, 564, 601, 652, 2967, 2501, 689, 519, 8231, 7658, 334, 267, 799, 1797, 968, 1729, 3142, 547, 606, 1439, 267, 547, 2347, 267, 547, 9585, 1848, 898, 779, 513, 2629, 2262, 1317, 621, 19752, 519, 3811, 1439, 547, 513, 1880, 1576, 540, 2962, 269, 898, 779, 519, 2262, 596, 1131, 946, 950, 596, 18214, 547, 519, 8445, 540, 24398, 269, 31231, 560, 282, 621, 779, 519, 2262, 596, 1131, 946, 950, 596, 2490, 538, 519, 3803, 5299, 540, 707, 12031, 282, 621, 779, 519, 2262, 596, 1131, 946, 950, 596, 1118, 519, 3803, 8569, 593, 707, 1007, 1286, 282, 621, 779, 519, 2262, 596, 946, 950, 596, 3444, 519, 9096, 1899, 540, 707, 1101, 476, 1015, 298, 2196, 269, 634, 2262, 1797, 811, 982, 1175, 968, 296, 15068, 1848, 898, 1797, 968, 296, 1705, 4010, 1018, 594, 1305, 856, 547, 798, 3034, 3719, 972, 779, 811, 1934, 982, 519, 8231, 3294, 269, 31679, 601, 652, 2967, 568, 538, 519, 3501, 13029, 538, 5259, 269, 2334, 779, 1713, 1317, 519, 3501, 13029, 14753, 540, 606, 2962, 799, 814, 1044, 6192, 538, 519, 2250, 609, 2164, 11173, 883, 519, 1459, 269, 898, 779, 1114, 689, 519, 2250, 13029, 799, 5654, 1394, 547, 606, 2680, 543, 3081, 267, 968, 1607, 5949, 1848, 634, 3501, 13029, 8591, 519, 2856, 602, 968, 1607, 5949, 543, 621, 568, 1869, 538, 1198, 2221, 3034, 2691, 4906, 524, 3072, 856, 968, 2005, 568, 8737, 2223, 646, 5921, 968, 2005, 729, 8737, 538, 519, 2250, 267, 621, 568, 1869, 8737, 538, 519, 1459, 543, 621, 786, 2611, 8737, 538, 519, 2104, 3034, 9616, 835, 824, 1249, 269, 1261, 1705, 711, 2161, 267, 968, 296, 993, 8737, 2223, 585, 602, 1131, 17538, 602, 646, 5747, 17204, 543, 25356, 269, 13298, 267, 646, 524, 3072, 856, 968, 2005, 568, 8737, 2223, 2495, 968, 296, 6707, 6192, 519, 960, 594, 3357, 547, 798, 3034, 307, 564, 601, 652, 2967, 267, 1287, 267, 568, 519, 14205, 1640, 779, 3803, 3956, 540, 11802, 269, 1879, 646, 5747, 267, 646, 2451, 1100, 4652, 31944, 1870, 3297, 269, 1879, 646, 1767, 267, 968, 2005, 568, 8737, 2223, 646, 729, 6340, 519, 5168, 2807, 19601, 31861, 8361, 21040, 593, 1018, 2441, 779, 2669, 12913, 538, 2185, 6898, 267, 1142, 835, 4098, 609, 519, 4484, 674, 269, 634, 2669, 540, 2441, 3177, 513, 1547, 1547, 4586, 288, 269, 9509, 9547, 585, 5609, 454, 289, 269, 674, 7614, 9514, 547, 30616, 454, 290, 269, 674, 20667, 540, 11419, 8118, 602, 786, 2095, 11014, 454, 291, 269, 7690, 540, 4708, 9788, 602, 786, 2063, 11014, 454, 2807, 1862, 11004, 568, 811, 547, 519, 2495, 540, 15067, 601, 652, 2967, 269, 898, 1797, 782, 540, 519, 1657, 267, 855, 621, 2523, 10039, 547, 519, 3902, 6976, 585, 519, 21359, 540, 519, 1158, 269, 8585, 18115, 14210, 2284, 630, 2750, 1842, 3218, 779, 6426, 19410, 776, 267, 26577, 267, 476, 6977, 264, 4967, 602, 519, 8231, 454, 13195, 1031, 538, 519, 1101, 543, 2034, 5553, 538, 519, 2631, 540, 968, 995, 325, 3739, 892, 610, 968, 335, 11691, 892, 513, 7963, 543, 1419, 7902, 538, 2256, 328, 14186, 269, 968, 2005, 568, 8737, 892, 630, 307, 564, 601, 652, 2967, 264, 1223, 581, 14648, 607, 968, 303, 4660, 538, 2407, 3034, 2108, 303, 4660, 538, 2407, 892, 1797, 602, 2899, 513, 3364, 568, 6976, 585, 267, 596, 2760, 723, 547, 2628, 585, 621, 1586, 269, 769, 1249, 267, 968, 335, 4660, 538, 2407, 892, 1797, 602, 2899, 513, 3364, 568, 6976, 585, 267, 621, 568, 18174, 880, 547, 2119, 547, 2628, 585, 621, 1586, 269, 0, 763, 1158, 779, 6639, 16880, 568, 13856, 676, 519, 2780, 2094, 519, 1032, 476, 3192, 271, 267, 543, 676, 1631, 267, 621, 814, 9411, 883, 1169, 12106, 540, 1480, 6228, 267, 543, 538, 519, 2063, 1079, 5756, 621, 814, 3144, 936, 5279, 540, 782, 602, 729, 2899, 812, 779, 1688, 328, 1740, 563, 288, 2780, 568, 606, 3167, 3926, 799, 2337, 538, 20993, 938, 4398, 543, 2337, 721, 538, 1373, 811, 3860, 676, 2921, 909, 519, 960, 540, 17279, 3294, 269, 634, 2780, 2337, 721, 1711, 15961, 267, 5968, 543, 849, 948, 721, 547, 7118, 269, 1677, 1554, 267, 1256, 538, 3127, 621, 568, 3564, 938, 9345, 547, 32230, 540, 1022, 28627, 1141, 2780, 814, 711, 1500, 513, 7202, 1421, 949, 621, 581, 538, 1870, 267, 12948, 267, 13629, 4702, 3092, 1421, 901, 1689, 936, 547, 2780, 1436, 568, 20888, 676, 782, 543, 31914, 787, 855, 267, 621, 3762, 835, 8781, 2243, 538, 519, 8186, 540, 1004, 269, 1284, 616, 782, 19038, 547, 3494, 602, 267, 2780, 1436, 568, 19038, 547, 12235, 2367, 856, 540, 7694, 267, 1100, 621, 568, 711, 865, 267, 713, 3661, 568, 1175, 513, 3765, 333, 9593, 269, 634, 2601, 585, 713, 568, 602, 267, 513, 812, 945, 729, 2899, 3257, 519, 2816, 540, 513, 804, 17064, 1131, 1631, 581, 2111, 547, 14892, 811, 11327, 10467, 267, 3976, 7700, 1010, 1655, 547, 1010, 16108, 2486, 543, 519, 4182, 269, 634, 2780, 568, 4397, 547, 2327, 19349, 540, 1702, 2157, 267, 7607, 267, 15271, 543, 2713, 4441, 540, 519, 2486, 269, 1403, 3127, 6499, 547, 900, 3634, 519, 2804, 2706, 7060, 540, 519, 1158, 621, 568, 2556, 585, 3127, 547, 4625, 2780, 1125, 267, 543, 3095, 519, 4095, 4346, 543, 2872, 609, 4139, 1344, 538, 513, 2706, 2462, 1259, 269, 901, 666, 581, 1500, 2009, 1152, 609, 519, 948, 540, 519, 2780, 543, 519, 5769, 5121, 563, 2005, 729, 538, 5239, 476, 3192, 278, 602, 519, 4357, 5823, 5769, 6796, 3038, 3187, 721, 22363, 883, 3127, 269, 1656, 713, 729, 513, 1390, 1900, 4464, 267, 538, 519, 2208, 540, 7658, 1260, 543, 2792, 2872, 269, 901, 2582, 1900, 568, 4397, 547, 1930, 1007, 18817, 540, 2029, 538, 713, 2197, 267, 538, 519, 1985, 2540, 269, 634, 5769, 568, 513, 7294, 1357, 540, 15408, 543, 10814, 3060, 8220, 6634, 540, 5904, 2066, 519, 1158, 269, 2060, 713, 4417, 540, 519, 2780, 267, 1344, 568, 3838, 538, 519, 1106, 540, 1239, 267, 5961, 543, 12449, 269, 634, 3498, 540, 519, 5769, 1131, 1331, 17774, 532, 267, 543, 1569, 547, 1239, 563, 1103, 3127, 972, 616, 827, 476, 280, 1789, 876, 5904, 5532, 547, 5769, 865, 2484, 269, 634, 4959, 11679, 723, 547, 2285, 513, 4871, 10018, 6697, 547, 12689, 13927, 585, 835, 1032, 269, 769, 3127, 267, 519, 966, 17928, 299, 267, 1775, 4318, 269, 519, 966, 1938, 327, 5842, 10420, 715, 580, 600, 13456, 568, 519, 1152, 8502, 540, 5769, 7896, 269, 634, 5769, 814, 2097, 607, 513, 7088, 538, 519, 4095, 1870, 543, 2872, 269, 4095, 812, 12741, 568, 827, 519, 1655, 538, 519, 1158, 267, 538, 827, 3592, 1022, 12106, 540, 960, 269, 3767, 649, 723, 2731, 8452, 883, 513, 1007, 1158, 540, 513, 2518, 8498, 563, 1103, 519, 4095, 2796, 267, 2780, 1436, 568, 11613, 2556, 607, 267, 7658, 1107, 2792, 543, 9682, 11052, 616, 1312, 2780, 1759, 269, 5020, 538, 4683, 4095, 568, 8200, 593, 519, 15146, 267, 661, 17733, 267, 535, 1314, 267, 4950, 14479, 543, 1591, 7483, 543, 782, 891, 2533, 15549, 519, 6165, 540, 519, 2780, 267, 585, 741, 5106, 543, 5826, 269, 4634, 538, 6917, 2127, 519, 2780, 666, 1404, 606, 1271, 1909, 538, 7693, 1646, 267, 3301, 585, 6079, 1382, 267, 7693, 3676, 267, 6917, 2872, 543, 6917, 2069, 269, 634, 28627, 540, 6917, 7658, 2792, 814, 1044, 19117, 676, 519, 2780, 563, 763, 2780, 1223, 581, 540, 1390, 1871, 538, 2069, 269, 901, 568, 1317, 782, 1344, 568, 6740, 543, 7307, 676, 5904, 267, 543, 865, 789, 1831, 2556, 538, 519, 2413, 2053, 543, 616, 849, 3015, 547, 782, 269, 3127, 666, 4126, 547, 1831, 513, 2197, 540, 1158, 4441, 267, 1152, 950, 621, 2780, 3278, 922, 4346, 267, 1870, 267, 3621, 543, 782, 824, 4238, 269, 8307, 713, 2029, 666, 948, 3127, 547, 4324, 593, 782, 18651, 1206, 269, 898, 568, 513, 22979, 602, 519, 1007, 2540, 1131, 4866, 7357, 547, 519, 2780, 269, 0, 26322, 6408, 3239, 25613, 324, 975, 539, 2146, 1379 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 476, 1015, 28413, 2745, 263, 28128, 10947, 289, 650, 8443, 278, 267, 476, 276, 267, 476, 274, 267, 476, 272, 267, 476, 277, 267, 476, 275, 267, 476, 273, 3910, 1496, 1015, 267, 476, 1015, 267, 476, 1015, 267, 476, 280, 267, 476, 280, 267, 476, 280, 267, 476, 278, 28413, 2745, 263, 28128, 10947, 289, 650, 8443, 273, 267, 476, 274, 267, 476, 276, 3910, 1496, 276, 267, 476, 274, 267, 476, 273, 28413, 0, 12163, 11693, 513, 5569, 267, 707, 4305, 568, 547, 1293, 875, 1082, 5493, 785, 668, 545, 10799, 902, 538, 713, 5569, 780, 763, 10799, 902, 609, 1114, 1376, 30455, 610, 1439, 30455, 616, 18886, 607, 1114, 10799, 902, 1256, 789, 2874, 540, 1482, 3197, 780, 7078, 476, 272, 1384, 19152, 281, 834, 29582, 4840, 20479, 281, 476, 274, 454, 15008, 281, 8422, 5493, 785, 668, 545, 12673, 281, 834, 320, 2580, 834, 321, 2580, 834, 322, 6231, 7078, 476, 273, 1384, 19152, 281, 834, 12711, 320, 4840, 20479, 281, 476, 277, 454, 15008, 281, 14520, 5493, 785, 668, 545, 12673, 281, 834, 320, 2580, 834, 320, 2580, 834, 320, 2580, 834, 12711, 2580, 834, 12711, 2580, 834, 12711, 320, 6231, 9616, 1384, 825, 634, 3403, 5569, 3259, 4465, 1405, 9765, 476, 1911, 271, 563, 20701, 454, 5035, 8827, 912, 825, 1219, 1293, 8138, 1598, 902, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 1038, 1948, 1267, 815, 476, 271, 692, 1038, 1948, 585, 4994, 538, 2039, 263, 273, 265, 6352, 4433, 264, 910, 476, 272, 2187, 1038, 1948, 672, 2451, 815, 4994, 12262, 476, 273, 454, 1038, 1948, 672, 1318, 815, 2451, 1341, 630, 8161, 4939, 476, 273, 2020, 1038, 1948, 672, 1247, 2451, 13843, 476, 271, 543, 1318, 2999, 7003, 4433, 264, 543, 521, 314, 3847, 316, 2652, 521, 314, 2431, 14158, 1038, 1948, 1363, 1267, 6834, 476, 272, 454, 1038, 1948, 1363, 2451, 20699, 476, 272, 454, 1038, 1948, 1363, 1318, 6834, 476, 272, 692, 1038, 1948, 2132, 1267, 692, 1038, 1948, 25674, 14691, 692, 1038, 5119, 815, 20886, 271, 585, 9041, 538, 2039, 12759, 4433, 4297, 316, 585, 9041, 538, 2039, 12759, 4433, 4297, 2639, 1038, 1948, 2745, 263, 9795, 994, 1038, 1267, 815, 476, 271, 692, 1038, 585, 1775, 538, 2039, 12759, 4433, 15892, 2018, 5119, 5157, 6012, 328, 316, 815, 476, 272, 454, 2018, 1267, 6834, 476, 272, 692, 1038, 585, 897, 538, 2039, 263, 272, 267, 7003, 4433, 15892, 2018, 585, 4737, 538, 2039, 263, 3712, 17107, 3546, 1948, 2638, 585, 1079, 3693, 692, 3546, 952, 4737, 2652, 897, 910, 272, 543, 521, 314, 992, 316, 2652, 521, 314, 3712, 14158, 7386, 5119, 314, 992, 6012, 3712, 316, 815, 476, 272, 454, 7386, 1267, 6834, 476, 272, 692, 3546, 8640, 5119, 314, 992, 1341, 476, 272, 6012, 3712, 910, 476, 272, 316, 2652, 476, 272, 543, 521, 314, 992, 316, 2652, 521, 314, 3712, 14158, 7386, 5119, 314, 992, 6012, 3712, 316, 815, 476, 272, 454, 7386, 1267, 6834, 476, 272, 692, 1038, 1820, 263, 9795, 994, 1038, 2132, 1267, 7531, 338, 565, 815, 8827, 4590, 338, 815, 834, 12711, 320, 4840, 2745, 4433, 565, 29644, 8138, 1598, 902, 4433, 11723, 338, 815, 834, 29582, 4840, 2745, 4433, 565, 29644, 8138, 1598, 902, 4433, 11723, 338, 815, 834, 15869, 8364, 4840, 2745, 4433, 565, 29644, 8138, 1598, 902, 4433, 4297, 0, 26611, 16535, 270, 7090, 274, 692, 5814, 2979, 454, 5814, 15259, 454, 5814, 4351, 454, 5814, 556, 454, 5814, 19523, 692, 16482, 258, 13159, 519, 1412, 1326, 1805, 31104, 262, 1599, 2630, 563, 16482, 258, 634, 1599, 568, 4397, 547, 2132, 606, 21850, 9680, 2207, 563, 258, 634, 1599, 24693, 1739, 6724, 912, 258, 476, 476, 272, 269, 31031, 5058, 10957, 454, 258, 476, 476, 273, 269, 21850, 9680, 2207, 2597, 19963, 454, 258, 7531, 3698, 1205, 1805, 31104, 9638, 817, 5320, 267, 2597, 19963, 2187, 825, 1439, 318, 4812, 815, 476, 1839, 910, 2597, 19963, 454, 825, 1439, 15220, 337, 815, 669, 337, 263, 754, 318, 4812, 1341, 476, 9032, 994, 825, 1948, 1820, 263, 754, 15220, 337, 994, 825, 20735, 815, 476, 271, 454, 825, 585, 524, 538, 10957, 912, 1038, 952, 524, 10922, 1439, 15220, 337, 912, 2018, 1948, 2745, 9230, 867, 6262, 264, 910, 3921, 2891, 320, 257, 21875, 2018, 20735, 815, 20735, 1341, 630, 867, 6262, 264, 910, 3921, 2891, 320, 257, 4297, 1341, 2597, 19963, 454, 1038, 3116, 912, 2018, 20735, 815, 20735, 1341, 3921, 6262, 264, 910, 3921, 263, 754, 15220, 337, 9984, 272, 454, 1038, 1820, 263, 753, 994, 825, 2132, 20735, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 325, 696, 337, 815, 1930, 263, 657, 269, 523, 1333, 9131, 5495, 9143, 7473, 318, 303, 26059, 28710, 1412, 342, 17210, 825, 10957, 815, 834, 12711, 320, 5016, 825, 2597, 19963, 815, 476, 271, 692, 825, 4222, 815, 1205, 1805, 31104, 9638, 817, 5320, 267, 2597, 19963, 994, 825, 1820, 263, 560, 31104, 2020, 825, 1948, 325, 696, 337, 22182, 19304, 263, 560, 31104, 264, 1341, 1412, 315, 333, 17210, 825, 1948, 535, 696, 337, 25379, 4590, 0, 12163, 11693, 1079, 1875, 24308, 9981, 1003, 272, 543, 1003, 273, 6719, 607, 5569, 267, 2132, 519, 2040, 540, 1003, 272, 543, 1003, 273, 563, 9616, 912, 825, 634, 3259, 540, 1312, 1003, 272, 543, 1003, 273, 568, 2999, 476, 27944, 271, 563, 825, 5637, 1003, 272, 543, 1003, 273, 3568, 1152, 9704, 476, 271, 268, 280, 563, 825, 5637, 1003, 272, 543, 1003, 273, 1281, 711, 2270, 1022, 3056, 4642, 563, 825, 1411, 1590, 711, 946, 1022, 3710, 2987, 8262, 18204, 518, 5399, 610, 6460, 519, 11378, 547, 8870, 2047, 563, 20701, 454, 5035, 8827, 912, 825, 1219, 1039, 18360, 902, 4311, 267, 1003, 272, 281, 1193, 267, 1003, 273, 281, 1193, 2187, 1038, 1948, 8827, 476, 272, 281, 1582, 454, 1038, 1948, 744, 3799, 994, 1038, 1948, 744, 263, 272, 994, 1038, 1775, 815, 7003, 16325, 272, 9984, 272, 454, 1038, 795, 815, 7003, 16325, 273, 9984, 272, 454, 1038, 524, 815, 476, 271, 454, 1038, 20735, 815, 834, 5016, 1038, 1247, 1775, 13843, 476, 271, 543, 795, 13843, 476, 271, 912, 2018, 513, 815, 1003, 272, 5157, 2639, 2018, 536, 815, 1003, 273, 14728, 2639, 2018, 524, 267, 521, 815, 2820, 7116, 17301, 5416, 11924, 842, 6357, 11924, 322, 267, 476, 1015, 2020, 2018, 1775, 20699, 476, 272, 454, 2018, 795, 20699, 476, 272, 692, 2018, 20735, 815, 1193, 4433, 264, 1341, 20735, 454, 2018, 1948, 1820, 263, 753, 2020, 1038, 1247, 1775, 13843, 476, 271, 912, 2018, 513, 815, 1003, 272, 5157, 2639, 2018, 524, 267, 521, 815, 2820, 7116, 17301, 5416, 264, 1341, 524, 267, 476, 1015, 994, 2018, 1775, 20699, 476, 272, 454, 2018, 20735, 815, 1193, 4433, 264, 1341, 20735, 692, 1038, 1247, 795, 13843, 476, 271, 912, 2018, 536, 815, 1003, 273, 14728, 2639, 2018, 524, 267, 521, 815, 2820, 7116, 17301, 6357, 264, 1341, 524, 267, 476, 1015, 994, 2018, 795, 20699, 476, 272, 454, 2018, 20735, 815, 1193, 4433, 264, 1341, 20735, 454, 1038, 952, 524, 3436, 476, 271, 912, 2018, 2132, 1193, 6262, 11924, 753, 454, 1038, 2132, 20735, 7531, 338, 565, 815, 8827, 4590, 320, 815, 834, 15886, 4840, 321, 815, 834, 15886, 4840, 2745, 4433, 565, 14491, 18360, 902, 5416, 267, 536, 11723, 12163, 14585, 1676, 2013, 912, 272, 269, 1875, 24308, 1797, 476, 271, 454, 12163, 0, 12163, 11693, 513, 9352, 3529, 267, 1265, 519, 3259, 540, 519, 13074, 2619, 1141, 1142, 6843, 538, 519, 2619, 814, 519, 1482, 1871, 269, 901, 2619, 949, 610, 949, 711, 1780, 998, 519, 3597, 780, 763, 3259, 540, 2619, 1063, 1079, 9136, 568, 6719, 676, 519, 1297, 540, 8728, 1063, 873, 780, 7078, 476, 272, 1384, 19152, 1384, 23526, 476, 276, 454, 17264, 1315, 26444, 2018, 476, 275, 567, 476, 276, 454, 19930, 1315, 1422, 567, 26444, 16875, 476, 272, 567, 476, 272, 567, 476, 276, 692, 20479, 281, 476, 273, 692, 8528, 7078, 476, 273, 1384, 19152, 1384, 23526, 476, 272, 454, 17264, 1315, 26444, 2018, 476, 275, 567, 476, 276, 454, 19930, 1315, 1422, 567, 26444, 16875, 476, 275, 567, 476, 275, 567, 476, 276, 692, 20479, 281, 476, 273, 692, 9616, 281, 634, 2016, 9352, 3529, 814, 711, 811, 982, 476, 1911, 876, 9136, 269, 634, 4463, 540, 519, 3529, 568, 711, 811, 982, 476, 1911, 271, 563, 12163, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 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, 7531, 5035, 8827, 912, 825, 1219, 13074, 4462, 2526, 826, 26073, 4311, 267, 3597, 2187, 1038, 1582, 7456, 784, 652, 815, 476, 271, 454, 1038, 1582, 26509, 760, 987, 20172, 994, 1038, 2132, 1582, 7456, 784, 652, 692, 825, 1219, 796, 760, 987, 4311, 267, 3597, 2187, 1038, 952, 711, 3597, 912, 2018, 2132, 7183, 267, 476, 271, 692, 1038, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 912, 2018, 2132, 3597, 22183, 267, 476, 272, 692, 1038, 2451, 267, 1293, 9078, 815, 1582, 26509, 760, 987, 20172, 16000, 994, 1038, 1318, 267, 1293, 24417, 815, 1582, 26509, 760, 987, 20172, 16192, 2020, 1038, 952, 2451, 2652, 3597, 22183, 543, 1318, 2652, 3597, 22183, 912, 2018, 1582, 7456, 784, 652, 815, 3193, 4311, 7456, 784, 652, 267, 1293, 9078, 1341, 1293, 24417, 994, 2018, 2132, 3597, 22183, 267, 3193, 6262, 870, 9078, 267, 1293, 24417, 11924, 272, 692, 1038, 8640, 2451, 2652, 3597, 22183, 912, 2018, 1582, 7456, 784, 652, 815, 3193, 4311, 7456, 784, 652, 267, 1293, 9078, 994, 2018, 2132, 3597, 22183, 267, 1293, 9078, 1341, 476, 272, 692, 1038, 8640, 1318, 2652, 3597, 22183, 912, 2018, 1582, 7456, 784, 652, 815, 3193, 4311, 7456, 784, 652, 267, 1293, 24417, 994, 2018, 2132, 3597, 22183, 267, 1293, 24417, 1341, 476, 272, 692, 1038, 2132, 3597, 22183, 267, 476, 272, 7531, 12163, 10915, 2397, 912, 10059, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 14075, 652, 10595, 2526, 826, 1790, 987, 270, 29171, 1380, 270, 22332, 14862, 18025, 3155, 7304, 1815, 27641, 4149, 1828, 268, 5263, 306, 7232, 6470, 268, 2414, 27138, 2955, 454, 12163, 0, 12163, 11693, 513, 5532, 1592, 267, 3313, 952, 621, 814, 513, 4783, 538, 621, 780, 2414, 2099, 513, 4783, 538, 519, 2016, 5532, 1592, 267, 649, 946, 606, 8870, 1064, 799, 4564, 519, 2990, 630, 271, 268, 8161, 539, 264, 538, 519, 5532, 1592, 1141, 2766, 13462, 547, 269, 1403, 1064, 568, 910, 272, 267, 1287, 972, 568, 1100, 4783, 538, 519, 5532, 1592, 780, 7078, 476, 272, 1384, 19152, 281, 2212, 815, 1496, 274, 267, 273, 267, 271, 16427, 275, 3910, 1064, 815, 476, 272, 454, 20479, 281, 3020, 454, 15008, 281, 1703, 568, 513, 4783, 538, 519, 5532, 1592, 267, 1141, 2766, 13462, 547, 519, 2034, 6843, 780, 7078, 476, 273, 1384, 19152, 281, 2212, 815, 1496, 272, 267, 273, 3910, 1064, 815, 476, 271, 454, 20479, 281, 3020, 454, 15008, 281, 1703, 568, 513, 4783, 538, 519, 5532, 1592, 267, 1141, 2766, 13462, 547, 519, 1101, 6843, 780, 7078, 476, 274, 1384, 19152, 281, 2212, 815, 1496, 272, 3910, 1064, 815, 910, 272, 454, 20479, 281, 7301, 454, 15008, 281, 1703, 568, 1100, 4783, 538, 519, 5532, 1592, 780, 10287, 909, 1384, 4692, 596, 4194, 621, 1210, 744, 263, 272, 264, 630, 328, 4318, 269, 3586, 264, 3965, 2496, 12163, 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, 7531, 5035, 8827, 912, 825, 1219, 814, 290, 19564, 4311, 267, 2212, 267, 1064, 2187, 1038, 1948, 8827, 476, 272, 281, 1582, 454, 1038, 1948, 952, 711, 2212, 912, 1038, 1948, 672, 2132, 8771, 454, 1038, 1948, 814, 5353, 523, 815, 11713, 1038, 1948, 1247, 2212, 912, 1038, 1948, 672, 814, 5353, 523, 6910, 263, 3650, 994, 1038, 1948, 672, 2212, 815, 2212, 12785, 454, 1038, 1948, 672, 952, 2212, 538, 814, 5353, 523, 912, 1038, 1948, 1363, 2132, 6936, 454, 1038, 1948, 2132, 8771, 692, 1038, 1948, 8827, 476, 273, 281, 5488, 267, 744, 263, 272, 264, 2230, 6988, 454, 1038, 1948, 1247, 2212, 912, 1038, 1948, 672, 952, 2212, 22183, 2652 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1692, 2052, 1411, 5620, 7102, 19871, 1403, 1411, 5213, 1406, 16202, 2659, 29133, 888, 14549, 640, 779, 16126, 593, 5779, 543, 824, 3662, 2472, 4249, 513, 2101, 1909, 538, 2916, 12159, 269, 769, 1931, 547, 3500, 938, 838, 11781, 4724, 2916, 6433, 267, 3173, 616, 2324, 547, 3605, 2081, 547, 6521, 4616, 6208, 2476, 689, 5779, 267, 13868, 621, 609, 811, 4264, 4244, 5946, 269, 6969, 649, 666, 1689, 6800, 685, 2623, 267, 2705, 267, 649, 1590, 1174, 1018, 4229, 3310, 741, 1699, 2623, 267, 543, 1018, 2010, 540, 7459, 723, 519, 1655, 4960, 540, 30070, 873, 547, 1689, 563, 1103, 713, 13849, 20400, 267, 519, 4589, 6394, 476, 11011, 2090, 1644, 547, 7082, 10343, 540, 4244, 3940, 2959, 269, 1358, 1336, 602, 713, 2361, 540, 1382, 568, 6385, 9750, 267, 609, 476, 4391, 4143, 2090, 3370, 538, 476, 1001, 280, 267, 909, 689, 1175, 1614, 538, 476, 1001, 274, 269, 3371, 267, 519, 4589, 5258, 4244, 5946, 883, 2947, 6688, 281, 20512, 630, 572, 2644, 538, 519, 1850, 2541, 1920, 971, 607, 10365, 543, 17112, 1070, 7786, 267, 13479, 630, 22855, 15634, 1070, 2030, 2861, 5779, 8925, 630, 8690, 2472, 602, 17932, 5779, 1070, 543, 31796, 5779, 630, 18350, 3766, 3497, 689, 3662, 2281, 1040, 5525, 593, 7082, 10343, 540, 4244, 5946, 723, 22157, 547, 1445, 593, 1344, 2861, 24500, 543, 7459, 269, 634, 4589, 540, 713, 1957, 4126, 547, 10802, 713, 2361, 540, 1353, 676, 17766, 1769, 593, 6800, 685, 3929, 18144, 269, 7324, 891, 789, 1331, 23440, 267, 29832, 755, 267, 1426, 683, 22785, 630, 325, 792, 540, 1007, 1426, 1070, 3972, 267, 543, 9263, 10343, 563, 763, 13849, 20400, 10443, 883, 519, 6093, 7965, 540, 735, 4979, 1344, 689, 3309, 2959, 269, 4107, 540, 519, 2090, 8947, 1152, 835, 610, 1079, 4244, 5946, 267, 1818, 16198, 1063, 6688, 2352, 269, 1548, 779, 811, 267, 930, 8925, 723, 1044, 6594, 2484, 811, 982, 1866, 2443, 476, 6812, 2090, 593, 7786, 3379, 547, 476, 280, 2090, 1142, 593, 20512, 267, 13479, 267, 543, 2030, 2861, 8925, 269, 2201, 1283, 540, 602, 267, 2090, 1031, 1114, 6364, 3800, 689, 835, 1776, 267, 899, 18515, 547, 2628, 8957, 9837, 547, 8532, 267, 543, 9039, 540, 891, 3800, 616, 3501, 30661, 540, 4890, 2104, 2623, 538, 519, 1483, 1158, 563, 14483, 3557, 540, 19901, 20504, 766, 454, 1103, 19220, 540, 891, 2591, 267, 621, 568, 2312, 602, 1034, 6800, 4782, 5779, 547, 1022, 4244, 269, 2290, 1353, 1336, 602, 538, 513, 1899, 1575, 540, 9838, 2389, 8463, 19858, 3276, 7970, 267, 476, 4792, 260, 540, 5396, 1131, 3442, 513, 5779, 3276, 3455, 267, 476, 2641, 260, 513, 2030, 2861, 3276, 3455, 267, 543, 1152, 476, 1556, 260, 513, 31796, 5779, 3276, 3455, 269, 7324, 4244, 5946, 267, 20512, 543, 2030, 2861, 8925, 616, 4867, 519, 1034, 11593, 7608, 676, 6800, 267, 4553, 676, 13479, 267, 31796, 5779, 267, 543, 7786, 267, 538, 602, 1931, 563, 291, 31034, 540, 19901, 20504, 766, 454, 763, 2188, 602, 3313, 6800, 685, 10343, 540, 1585, 4244, 5946, 666, 581, 5258, 883, 1614, 2010, 281, 21141, 267, 5626, 267, 543, 15295, 563, 3725, 10589, 21141, 10256, 1331, 1072, 1465, 267, 6492, 267, 2825, 2640, 267, 543, 3902, 269, 6176, 827, 1072, 1465, 543, 6492, 568, 9565, 538, 519, 10343, 540, 782, 4244, 5946, 269, 634, 2825, 2640, 540, 15175, 547, 4244, 5946, 616, 3810, 30070, 2188, 585, 1346, 3222, 540, 873, 267, 855, 1034, 6800, 616, 711, 3222, 269, 14451, 5777, 2965, 2333, 6800, 685, 10343, 540, 4244, 5946, 267, 2693, 1317, 519, 2362, 3902, 10522, 513, 2362, 7779, 1587, 269, 7053, 267, 519, 25194, 540, 1344, 568, 1271, 2443, 513, 2370, 811, 1469, 827, 519, 1439, 1587, 666, 2333, 10343, 267, 855, 1932, 1454, 2930, 1469, 827, 922, 2504, 666, 1394, 13933, 543, 15658, 6800, 269, 898, 7140, 856, 1100, 835, 6499, 547, 917, 875, 519, 30725, 720, 4991, 1500, 267, 2361, 30725, 720, 3769, 563, 20329, 1670, 10256, 540, 4616, 1331, 23440, 267, 1426, 683, 22785, 267, 29832, 755, 267, 3972, 267, 543, 9263, 10343, 269, 8409, 945, 723, 1831, 5432, 609, 5521, 2861, 3536, 676, 10386, 873, 616, 811, 2693, 547, 8532, 7786, 538, 519, 2104, 269, 901, 949, 6961, 3020, 540, 824, 4244, 5946, 607, 1134, 269, 5253, 683, 22785, 543, 29832, 755, 616, 7496, 547, 10343, 540, 782, 4244, 5946, 267, 1498, 519, 3209, 1399, 540, 930, 540, 891, 8925, 949, 2965, 4482, 930, 27093, 6800, 269, 634, 811, 3209, 513, 3940, 2707, 568, 267, 519, 811, 621, 568, 12936, 676, 3929, 3157, 269, 634, 1909, 540, 3972, 538, 10343, 540, 4244, 5946, 729, 1152, 9619, 676, 1614, 2090, 267, 855, 789, 1336, 602, 513, 2489, 1253, 6412, 540, 2257, 31426, 609, 513, 1970, 10343, 540, 31796, 5779, 267, 543, 602, 1344, 689, 11967, 3906, 666, 2333, 519, 10343, 540, 4244, 5946, 269, 25398, 10343, 4679, 10343, 540, 8925, 563, 20779, 4919, 2188, 616, 693, 1655, 1152, 16434, 569, 28706, 540, 7082, 10343, 540, 4244, 5946, 269, 4634, 865, 267, 513, 1906, 3270, 616, 4502, 15663, 269, 634, 1004, 1034, 1930, 547, 4244, 5946, 4043, 547, 581, 1762, 267, 3810, 13473, 267, 711, 20833, 15061, 267, 4683, 267, 543, 1654, 326, 265, 333, 269, 24538, 338, 616, 811, 11807, 547, 9038, 267, 1247, 2030, 2861, 8925, 616, 811, 11807, 547, 8951, 269, 8409, 945, 4867, 8532, 513, 2603, 540, 5779, 4782, 31796, 5779, 543, 2472, 23401, 5779, 547, 824, 8925, 269, 8409, 945, 4867, 8532, 2370, 610, 1100, 5779, 4782, 2030, 2861, 8925, 269, 3143, 1895, 27422, 7786, 269, 898, 1131, 3100, 7786, 616, 1932, 1454, 899, 2831, 585, 1654, 326, 265, 985, 543, 711, 2614, 899, 2831, 585, 5779, 3548, 619, 563, 2171, 4126, 2104, 1382, 538, 713, 2361, 786, 1331, 811, 2090, 10128, 2789, 4244, 5946, 585, 3444, 10687, 1706, 11143, 267, 607, 1134, 607, 811, 30704, 640, 1369, 6688, 269, 1284, 8910, 849, 899, 547, 1294, 811, 2090, 5059, 593, 7459, 543, 3929, 10256, 540, 7082, 2623, 269, 1284, 8910, 10950, 2090, 602, 4983, 7082, 2623, 538, 811, 1483, 8996, 7653, 267, 543, 2090, 602, 4983, 6237, 3604, 538, 4244, 3940, 10343, 563, 31306, 7459, 6322, 693, 13346, 4616, 689, 5779, 547, 4244, 5946, 1058, 3247, 13461, 865, 8185, 593, 1344, 6811, 543, 2253, 16107, 938, 1620, 540, 3929, 2188, 269, 1280, 3236, 267, 606, 6304, 1223, 2333, 23440, 543, 3976, 10343, 676, 6220, 513, 3209, 3940, 883, 513, 5432, 8670, 269, 27800, 3646, 1058, 4099, 593, 20512, 543, 2030, 2861, 8925, 267, 1317, 891, 616, 519, 1079, 1034, 11593, 7608, 8925, 543, 519, 1079, 1034, 4264, 8925, 563, 4415, 5402, 18705, 7459, 267, 649, 666, 3391, 2486, 1524, 602, 13374, 21490, 609, 20512, 543, 2030, 2861, 1273, 2906, 543, 883, 513, 811, 4264, 2104, 269, 0, 268, 1548, 568, 519, 6697, 540, 513, 476, 2412, 26910, 15941, 538, 10896, 888, 268, 6496, 2539, 26910, 720, 1611, 1447, 1769, 888, 268, 1215, 798, 594, 917, 1018, 26910, 720, 1769, 15941, 547, 946, 888, 268, 6496, 519, 26334, 593, 513, 1769, 15941, 2339, 888, 268, 2052, 594, 946, 513, 476, 2568, 26910, 15941, 538, 513, 476, 2412, 26910, 17689, 888, 268, 6496, 2362, 26910, 720, 1611, 811, 1769, 888, 268, 1772, 621, 2922, 547, 2322, 476, 1911, 342, 15941, 538, 476, 2568, 342, 888, 268, 1772, 476, 2568, 26334, 17321, 982, 476, 2412, 26334, 888, 268, 3657, 476, 1911, 342, 15620, 17321, 982, 476, 4649, 342, 888, 268, 1548, 4523, 950, 596, 2322, 513, 476, 1911, 26910, 15941, 538, 513, 476, 2568, 26910, 17689, 888, 268, 1548, 4523, 952, 596, 2322, 513, 2362, 26910, 720, 1769, 15941, 888, 268, 1548, 4523, 952, 596, 2322, 513, 476, 2412, 342, 15941, 538, 513, 476, 2568, 342, 23094, 888, 268, 6904, 15941, 568, 17321, 476, 2568, 342, 610, 476, 1911, 342, 888, 268, 1548, 4523, 952, 15941, 26910, 720, 568, 1932, 1970, 888, 268, 2052, 596, 2322, 513, 476, 1911, 26910, 15941, 538, 513, 476, 274, 1259, 17689, 888, 1432, 568, 519, 6697, 540, 513, 476, 2412, 26910, 15941, 538, 10896, 888, 24718, 26910, 720, 25565, 15941, 272, 295, 531, 4094, 273, 29612, 2412, 26334, 1839, 26334, 276, 26334, 2568, 26334, 2412, 26334, 278, 26334, 4037, 26334, 3393, 26334, 280, 26334, 1911, 26334, 2568, 26334, 1321, 26334, 272, 811, 4737, 563, 9989, 2539, 26910, 720, 1611, 1447, 1769, 888, 299, 1077, 26910, 720, 1797, 2539, 1648, 12014, 1107, 543, 1447, 3327, 5434, 269, 2560, 634, 811, 1648, 3608, 519, 1769, 15941, 2029, 267, 519, 1447, 5201, 630, 310, 30476, 264, 513, 15941, 3096, 269, 901, 1797, 596, 666, 1406, 5635, 519, 21386, 540, 1769, 15620, 676, 875, 1082, 20242, 1206, 789, 946, 563, 1692, 798, 594, 917, 1018, 26910, 720, 1769, 15941, 547, 946, 888, 1103, 930, 2665, 1141, 513, 20856, 675, 814, 1079, 610, 811, 1769, 15620, 267, 972, 949, 581, 513, 2698, 26910, 720, 12773, 585, 519, 3003, 20856, 675, 269, 901, 949, 581, 9102, 593, 513, 1507, 6529, 518, 12341, 593, 519, 1769, 20856, 675, 267, 1419, 593, 519, 13471, 610, 3490, 30066, 9944, 519, 20856, 675, 779, 8608, 563, 9989, 519, 26334, 593, 513, 1769, 15941, 2339, 888, 2691, 621, 2501, 547, 875, 1454, 1769, 596, 1205, 689, 513, 1769, 15941, 267, 26334, 1810, 1406, 2339, 269, 8752, 3884, 1406, 6027, 538, 26334, 269, 898, 779, 6027, 538, 3723, 2275, 663, 956, 610, 561, 636, 839, 269, 2560, 2334, 1797, 713, 15941, 7472, 5111, 519, 1482, 561, 636, 839, 607, 513, 3044, 476, 2568, 2914, 3430, 1651, 663, 27853, 15941, 563, 4692, 594, 946, 513, 476, 2568, 26910, 15941, 538, 513, 476, 2412, 26910, 17689, 888, 8133, 267, 14322, 596, 2461, 11021, 606, 10896, 602, 814, 561, 18210, 3977, 2147, 547, 513, 476, 2568, 26910, 17689, 269, 1411, 666, 946, 1022, 17689, 602, 27499, 909, 547, 476, 2412, 26334, 543, 568, 8032, 2147, 547, 519, 17689, 5227, 269, 1924, 585, 1383, 267, 952, 621, 729, 513, 3044, 589, 17689, 267, 596, 1223, 946, 1022, 10896, 17689, 602, 27499, 909, 547, 476, 2412, 26334, 609, 1100, 3106, 3390, 563, 9989, 2362, 26910, 720, 1611, 811, 1769, 888, 763, 654, 3430, 720, 540, 519, 1769, 568, 519, 2179, 540, 1648, 621, 3217, 547, 3132, 513, 1978, 2179, 540, 1769, 269, 634, 2362, 519, 26910, 720, 267, 519, 17321, 519, 1769, 267, 855, 849, 519, 811, 1379, 621, 3096, 269, 2560, 476, 2412, 654, 3430, 1651, 663, 27853, 17689, 7472, 1152, 476, 23884, 268, 29121, 561, 636, 839, 543, 3096, 476, 2412, 20242, 1206, 540, 1648, 829, 5662, 563, 3674, 621, 2922, 547, 2322, 476, 1911, 342, 15941, 538, 476, 2568, 342, 888, 763, 2165, 968, 2568, 8862, 3430, 3160, 892, 814, 2370, 547, 798, 609, 1022, 2186, 540, 26910, 720, 9756, 282, 513, 476, 2568, 310, 3160, 10896, 949, 946, 607, 2370, 607, 476, 279, 20242, 1206, 547, 7500, 269, 2560, 1403, 707, 20856, 675, 568, 15951, 547, 3398, 476, 2568, 20242, 1206, 267, 596, 666, 9108, 946, 476, 4037, 310, 267, 476, 1911, 310, 267, 610, 1256, 476, 10219, 310, 3160, 15620, 630, 6518, 782, 2721, 1447, 982, 476, 2004, 20242, 1206, 540, 1379, 264, 3079, 563, 3674, 476, 2568, 26334, 17321, 982, 476, 2412, 26334, 888, 2412, 2914, 3430, 15941, 7472, 476, 14596, 561, 636, 839, 540, 1769, 269, 476, 2568, 2914, 3430, 15941, 7472, 476, 8517, 561, 636, 839, 540, 1769, 630, 2865, 4922, 1031, 538, 10820, 264, 476, 4037, 2914, 3430, 15941, 7472, 476, 272, 267, 1911, 561, 636, 839, 540, 1769, 563, 6701, 476, 1911, 342, 15620, 17321, 982, 476, 4649, 342, 888, 295, 2839, 779, 946, 1447, 26910, 720, 855, 3132, 811, 561, 636, 839, 540, 1769, 269, 2353, 824, 1919, 1373, 3160, 267, 1498, 267, 513, 476, 1911, 26910, 15941, 786, 581, 17321, 982, 513, 476, 4649, 563, 1432, 4523, 950, 596, 2322, 513, 476, 1911, 26910, 15941, 538, 513, 476, 2568, 26910, 17689, 888, 21607, 1154, 513, 476, 1911, 2914, 3430, 15941, 538, 513, 476, 2568, 2914, 3430, 20856, 675, 1223, 2014, 7920, 3002, 267, 13621, 519, 1769, 23094, 543, 519, 13471, 593, 519, 20856, 675, 779, 12904, 269, 7102, 942, 596, 723, 602, 2186, 540, 3441, 593, 12904, 267, 596, 2461, 693, 513, 2462, 1981, 585, 9095, 24966, 267, 1141, 606, 5122, 1699, 8813, 1055, 922, 5497, 2619, 1765, 513, 3056, 2014, 540, 1753, 11642, 563, 1432, 4523, 952, 596, 2322, 513, 2362, 26910, 720, 1769, 15941, 888 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 7160, 540, 634, 3864, 5742, 543, 4587, 1004, 538, 15212, 1336, 538, 519, 17048, 563, 763, 3864, 5742, 543, 4587, 1004, 538, 15212, 454, 288, 755, 6319, 781, 1569, 542, 547, 519, 3864, 5742, 6825, 519, 12032, 540, 519, 1184, 540, 15212, 779, 5610, 3646, 799, 1185, 3323, 1279, 1354, 519, 19169, 540, 15212, 779, 3498, 585, 10566, 15376, 676, 1287, 10579, 540, 14579, 16457, 267, 1325, 12251, 631, 1442, 267, 593, 476, 1704, 5147, 27557, 547, 12213, 523, 3864, 16949, 769, 2073, 538, 519, 2022, 1700, 1372, 717, 4954, 548, 5736, 538, 5333, 267, 1614, 1007, 2829, 941, 6368, 2111, 547, 6443, 538, 519, 1101, 23822, 618, 269, 1452, 1007, 4759, 2829, 941, 519, 5177, 267, 8581, 267, 543, 16862, 267, 1419, 1634, 607, 519, 26997, 4759, 2829, 1317, 741, 1894, 609, 519, 3864, 5742, 616, 1419, 2269, 1441, 269, 634, 5177, 3788, 563, 9349, 281, 28158, 5742, 269, 5678, 13772, 22478, 654, 27073, 5058, 256, 634, 538, 589, 5618, 7291, 901, 568, 513, 9504, 1433, 267, 513, 4015, 540, 9504, 4930, 602, 666, 581, 3362, 10710, 267, 16865, 676, 606, 5007, 5907, 17021, 3028, 267, 543, 10288, 607, 513, 9102, 589, 5618, 7291, 547, 713, 9769, 540, 8938, 32732, 3864, 2829, 11137, 3864, 5742, 3778, 269, 634, 3864, 5742, 630, 31323, 264, 568, 513, 2189, 2797, 543, 2804, 11450, 602, 4867, 5161, 540, 476, 2764, 4759, 2829, 630, 5408, 519, 4786, 538, 519, 25715, 1040, 476, 272, 29740, 998, 513, 3126, 540, 11006, 21308, 267, 519, 5742, 568, 519, 5767, 3942, 538, 513, 1184, 540, 5610, 13175, 1310, 2622, 2782, 4083, 547, 3895, 4708, 563, 11321, 476, 6021, 267, 5788, 4653, 781, 3864, 5742, 267, 609, 922, 2620, 5610, 17364, 513, 3099, 540, 3609, 5749, 553, 1279, 2219, 547, 581, 519, 6852, 1625, 1613, 540, 19988, 6082, 267, 568, 513, 9670, 543, 18811, 748, 2797, 554, 4821, 1731, 770, 644, 1470, 2593, 281, 22186, 22220, 681, 269, 5062, 301, 600, 4673, 269, 7027, 540, 519, 3864, 5742, 910, 623, 4660, 3004, 710, 525, 4721, 269, 7046, 585, 3498, 281, 476, 1704, 270, 6349, 13780, 1023, 540, 519, 16588, 2276, 540, 519, 3864, 5742, 543, 11134, 2477, 945, 723, 6192, 610, 616, 4867, 23072, 513, 1377, 540, 2069, 602, 14687, 547, 6280, 13780, 1023, 540, 513, 16588, 3557, 540, 519, 3864, 5742, 945, 616, 476, 1240, 1296, 540, 2085, 610, 4587, 563, 5804, 519, 32765, 2967, 547, 519, 8003, 454, 7343, 30294, 547, 3450, 12540, 21838, 924, 632, 18937, 541, 637, 1261, 696, 15330, 517, 454, 613, 1108, 540, 8738, 2742, 454, 25332, 969, 725, 593, 2442, 1884, 1172, 885, 454, 13480, 332, 839, 13180, 2920, 267, 476, 4572, 274, 543, 16390, 267, 476, 4572, 275, 454, 8070, 531, 2533, 3915, 563, 25565, 19360, 545, 21150, 5514, 2044, 454, 8855, 532, 538, 2699, 543, 11909, 454, 10890, 1416, 585, 2021, 543, 8004, 1453, 454, 572, 32208, 5418, 320, 585, 15698, 540, 25903, 1996, 930, 3735, 26568, 18659, 267, 3226, 538, 519, 4884, 540, 7137, 19213, 538, 519, 10315, 540, 3840, 563, 763, 3864, 5742, 630, 31323, 264, 568, 513, 2797, 543, 2804, 9769, 540, 476, 2767, 4759, 2829, 602, 616, 4092, 5097, 538, 2342, 269, 4706, 2818, 723, 513, 5916, 1858, 540, 476, 275, 267, 5998, 476, 273, 630, 272, 267, 13483, 11465, 264, 543, 606, 6059, 2698, 2551, 540, 827, 554, 4821, 1731, 770, 644, 1470, 2593, 1598, 894, 8998, 281, 29761, 563, 28158, 5742, 630, 31323, 1070, 2012, 2016, 2094, 519, 3731, 2305, 630, 22261, 1421, 3738, 540, 519, 15521, 540, 3864, 5742, 267, 610, 8575, 770, 5341, 339, 15521, 267, 547, 519, 3864, 7991, 630, 4488, 1070, 606, 2804, 543, 2797, 1476, 539, 3130, 540, 3864, 6082, 267, 543, 824, 3906, 630, 5976, 519, 1482, 4759, 6082, 264, 602, 616, 3743, 585, 513, 1455, 4914, 543, 3354, 3609, 543, 585, 9316, 593, 5126, 543, 1753, 12602, 563, 1103, 14363, 634, 1592, 630, 10175, 922, 2140, 610, 6609, 264, 16881, 10363, 2534, 267, 610, 3568, 13842, 4633, 610, 740, 4630, 514, 655, 6285, 593, 513, 8284, 6153, 1348, 338, 4759, 610, 2278, 269, 1975, 600, 610, 8682, 6261, 668, 10899, 634, 1592, 568, 28417, 610, 1582, 1790, 668, 10899, 563, 18823, 8091, 3883, 634, 1592, 3568, 606, 269, 634, 28988, 2548, 15521, 3357, 883, 3196, 593, 476, 272, 5412, 543, 519, 9167, 13166, 8719, 543, 16309, 519, 10566, 563, 763, 15521, 781, 14074, 616, 851, 540, 519, 2596, 19597, 730, 8747, 540, 519, 15521, 593, 3864, 5742, 630, 15288, 308, 264, 543, 519, 15521, 593, 519, 9577, 532, 540, 519, 3864, 5742, 630, 307, 25539, 308, 264, 1631, 12044, 1018, 3788, 513, 1360, 1808, 5610, 1788, 269, 4595, 15212, 2968, 513, 4759, 1533, 540, 519, 3864, 5742, 267, 621, 814, 6591, 6251, 13218, 547, 824, 9167, 11615, 267, 4227, 922, 2804, 13829, 593, 5125, 563, 1103, 1840, 267, 15376, 540, 519, 9167, 814, 6537, 606, 27614, 540, 4914, 9520, 13631, 676, 15212, 781, 1569, 547, 519, 2582, 3864, 2344, 543, 16133, 547, 519, 14971, 11615, 540, 519, 3864, 554, 4821, 1731, 770, 644, 1470, 2593, 331, 543, 4102, 2749, 281, 21499, 267, 476, 4366, 4113, 1321, 12664, 301, 476, 1626, 4113, 2641, 12664, 292, 1315, 563, 288, 755, 6319, 910, 15212, 910, 15212, 538, 519, 3864, 5742, 281, 769, 513, 8978, 22275, 31558, 538, 4873, 288, 755, 6929, 17037, 8612, 741, 7287, 547, 6443, 519, 9167, 267, 543, 538, 5130, 15212, 2968, 513, 4759, 269, 634, 1739, 1032, 267, 3243, 20379, 16033, 730, 476, 272, 267, 1296, 540, 1455, 1686, 269, 634, 7908, 8481, 12006, 15212, 779, 588, 1155, 538, 2342, 13840, 267, 1247, 519, 2197, 779, 2799, 6237, 9316, 563, 763, 10127, 3149, 330, 1844, 515, 630, 1805, 269, 8176, 16907, 4435, 334, 5783, 264, 538, 21499, 267, 3710, 1063, 543, 529, 513, 25724, 20100, 269, 4706, 4056, 267, 20435, 12672, 14551, 674, 29531, 13153, 8210, 331, 778, 267, 8179, 547, 25146, 2609, 543, 2093, 689, 519, 1034, 1713, 13039, 538, 2342, 267, 1519, 519, 23202, 515, 517, 543, 853, 563, 30681, 781, 29092, 3821, 538, 7507, 267, 519, 670, 698, 807, 1924, 325, 807, 538, 31862, 267, 519, 667, 727, 964, 769, 1998, 1938, 538, 8303, 267, 543, 853, 269, 6754, 781, 24130, 538, 269, 3864, 5742, 3896, 910, 9167, 4629, 5183, 568, 519, 4013, 9167, 3896, 602, 2488, 1569, 547, 1344, 3370, 676, 782, 9167, 5238, 267, 8041, 543, 4703, 563, 21652, 1504, 593, 3864, 1239, 4027, 1876, 910, 7160, 269, 4578, 4027, 267, 7834, 543, 1007, 4066, 282, 4578, 4027, 282, 634, 4028, 1646, 540, 1344, 2029, 814, 28978, 519, 991, 585, 7347, 2123, 1239, 4027, 267, 519, 1318, 547, 799, 568, 9580, 12023, 676, 1312, 3864, 5742, 630, 31323, 264, 543, 7027, 540, 2342, 630, 10870, 292, 264, 7405, 563, 763, 3864, 5742, 540, 6468, 538, 15212, 700, 7637, 25663, 2752, 267, 513, 16588, 540, 12057, 540, 519, 22341, 4658, 779, 9549, 630, 383, 500, 29262, 1070, 8547, 519, 9167, 310, 538, 4173, 2856, 729, 547, 1711, 606, 3486, 1875, 3766, 21194, 3919, 267, 4171, 2818, 1107, 538, 4334, 547, 519, 3864, 4658, 779, 9549, 1107, 798, 711, 723, 547, 581, 851, 540, 519, 3864, 5742, 563, 20225, 476, 1789, 267, 5788, 11569, 267, 538, 519, 3864, 12836, 703, 515, 2484, 28878, 2817, 13571, 543, 922, 6205, 267, 13149, 2274, 6755, 267, 3357, 538, 1101, 1851, 3943, 17037, 896, 269, 476, 866, 270, 6349, 270, 13870, 538, 4070, 1524, 676, 4939, 538, 20789, 1858, 563, 1103, 5412, 3379, 609, 5437, 572, 1783, 958, 14661, 2504, 538, 519, 4070, 5823, 8519, 676, 4939, 538, 519, 20789, 1858, 630, 12788, 866, 264, 543, 676, 4939, 538, 519, 9167, 2767, 267, 2687, 547, 1101, 9193, 689, 16402, 560, 520, 267, 519, 8579, 5604, 540, 519, 3864, 5742, 269, 15510, 30333, 538, 2342, 12700, 267, 6286, 543, 4507, 3194, 543, 16743, 563, 31323, 4629, 14154, 3198, 25265, 3041, 31064, 10615, 622, 29731, 585, 3194, 543, 16743, 10615, 622, 645, 2443, 16743, 5742, 543, 3864, 3194, 9351, 5149, 645, 2443, 14484, 633, 5081, 7724, 30333, 513, 4641, 676, 5329, 4587, 1004, 2635, 267, 4830, 543, 24009, 568, 513, 4161, 563, 311, 634, 15521, 593, 3864, 5742, 630, 31323, 264, 2443, 519, 8575, 770, 5341, 339, 15521, 2443, 729, 9896, 538, 8575, 770, 5341, 339, 593, 476, 278, 5988, 543, 3357, 883, 3196, 538, 898, 3964, 519, 3864, 5742, 267, 5795, 519, 12057, 811, 2161, 538, 3375, 6194, 543, 3773, 1007, 3609, 2127, 540, 9316, 563, 311, 634, 15521, 540, 24545, 729, 9896, 593, 476, 273, 5239, 543, 3357, 883, 3196, 538, 634, 3864, 5742, 1496, 297, 517, 11936, 744, 3149, 523, 316, 593, 554, 4821, 1731, 770, 644, 1470, 2593, 2608, 293, 12767, 265, 11288, 593, 27216, 3091, 269, 15147, 532, 519, 1686, 267, 12044, 5238, 267, 543, 4507, 540, 519, 3864, 5742, 267, 22189, 744, 3149, 523, 543, 3627, 15966, 768, 1157, 1459, 519, 9167, 607, 835, 540, 519, 1158, 781, 2804, 543, 2797, 2706, 335, 10183, 290, 1243, 676, 281, 5463, 476, 4962, 267, 5788, 15212, 1175, 4371, 513, 8917, 593, 519, 9167, 1107, 7977, 1705, 1100, 971, 3364, 634, 1259, 6214, 538, 7977, 568, 22555, 814, 513, 1483, 543, 14042, 1198, 593, 1004, 779, 2729, 563, 288, 755, 6319, 3864, 5742, 4223, 974, 334, 269, 8734, 476, 5881, 267, 5788, 3194, 6651, 281, 3864, 5742, 13751, 10049, 269, 18838, 676, 30338, 661, 269, 1325, 5112, 19321, 539, 676, 667, 3570, 3026, 659, 24175, 7831, 21213, 5437, 476, 278, 267, 901, 3391, 1101, 12857, 519, 11001, 547, 519, 2081, 519, 3864, 1133, 687, 1568, 267, 543, 1287, 547, 519, 1585, 2326, 2139, 538, 519, 14880, 654, 563, 291, 3554, 1180, 4521, 7732, 267, 538, 519, 12052, 2160, 23905, 267, 543, 593, 519, 5769, 269, 3057, 476, 4029, 267, 5788, 3864, 13629, 8075, 2047, 2308, 930, 15161, 267, 7763, 320, 11339, 267, 543, 602, 1297, 4422, 607, 1164, 607, 15290, 519, 4600, 540, 2404, 3549, 543, 2533, 616, 1249, 1819, 538, 563, 1103, 519, 1279, 2070, 267, 7763, 320, 3081, 267, 519, 2804, 6433, 4358, 538, 4299, 585, 1032, 519, 1585, 3084, 1433, 6080, 540, 2342, 269, 634, 23822, 618, 540, 519, 3864, 5742, 4718, 15212, 267, 18940, 267, 543, 13785, 934, 27827, 547, 519, 3864, 5742, 630, 31323, 1040, 901, 729, 519, 9167, 781, 8772, 23822, 618, 543, 3357, 883, 1198, 593, 476, 272, 5130, 540, 602, 1032, 563, 5472, 891, 2829, 941, 3105, 2818, 540, 519, 3864, 5131, 11780, 5948, 630, 9128, 14011, 264, 543, 1185, 12926, 1044, 1447, 5461, 538, 11836, 519, 9167, 982, 824, 3864, 2477, 269, 21661, 519, 3864, 5742, 267, 1004, 3068, 23998, 1317, 540, 741, 2960, 7990, 267, 14940, 267, 4984, 267, 4008, 610, 14920, 563, 1103, 3210, 267, 519, 9167, 543, 922, 16588, 2276, 723, 5189, 4031, 1996, 13842, 6760, 543, 1489, 2533, 585, 9601, 269, 15212, 814, 1044, 513, 4759, 540, 519, 2136, 8315, 2094, 14765, 1441, 519, 3864, 5742, 538, 2073, 543, 513, 13653, 540, 519, 31232, 269, 634, 4436, 2012, 3331, 500, 3122, 516, 747, 568, 6508, 689, 6196, 4436, 744, 560, 1551, 383, 362, 14024, 834, 292, 6141, 24540, 8487, 763, 2012, 729, 20093, 821, 3585, 5824, 1242, 607, 834, 288, 755, 6319, 257, 630, 31142, 513, 13831, 834, 338, 1926, 2842, 2580, 14165, 1227, 834, 338, 1926, 257, 3976, 28191, 337, 5953, 5894, 834, 338, 4822, 257, 543, 865, 593, 11065, 2096, 648, 982, 513, 3791, 540, 1761, 3864, 5742, 17037, 786, 581, 936, 1656, 1317, 4587, 17037, 2490, 856, 811, 28761, 982, 519, 1762, 267, 789, 1223, 29937, 11493, 1379, 11053, 24397, 543, 519, 3864, 5742, 8525, 476, 272, 540, 476, 1839, 12327, 4488, 308, 20937, 590, 9331, 300, 14473, 21094, 568, 519, 3791, 4102, 8739, 20300, 2534, 538, 519, 3864, 5742, 630, 292, 772, 1070, 543, 2306, 606, 1271, 9295, 547, 519, 9167, 781, 14407, 3084, 1587, 543, 547, 7694, 563, 292, 2202, 568, 849, 1547, 0, 5194, 1259, 547, 4739, 513, 5098, 3948, 568, 547, 1533, 835, 2427, 540, 519, 4661, 543, 1459, 2565, 3206, 1557, 2055, 513, 1201, 5024, 3948, 269, 596, 786, 991, 547, 606, 2500, 12819, 1557, 1590, 1683, 2963, 1317, 1020, 513, 1448, 540, 2070, 593, 610, 7664, 540, 602, 1570, 543, 1683, 2963, 585, 707, 2990, 269, 713, 568, 1572, 1557, 538, 621, 6501, 519, 4831, 8010, 269, 4661, 566, 3069, 267, 610, 4661, 566, 267, 568, 10388, 1557, 476, 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 ]
[ 547, 476, 272, 281, 274, 1705, 711, 3648, 1689, 519, 2179, 540, 14298, 275, 4149, 13939, 676, 519, 918, 295, 273, 17269, 275, 3070, 269, 634, 476, 271, 269, 272, 631, 9149, 5141, 3070, 568, 5227, 585, 25935, 14298, 275, 4149, 689, 11934, 609, 5266, 1507, 5666, 540, 12842, 14298, 275, 4149, 269, 8923, 2070, 519, 7824, 676, 1210, 519, 9509, 7956, 630, 14457, 264, 3095, 896, 1412, 8698, 262, 547, 519, 2451, 563, 15648, 9736, 1547, 1547, 0, 8025, 3041, 4959, 589, 14192, 3918, 6311, 12088, 623, 17803, 269, 27429, 1281, 711, 4867, 723, 606, 2376, 593, 713, 1888, 563, 9596, 827, 713, 1888, 538, 891, 4930, 912, 14337, 538, 744, 526, 836, 11445, 454, 1862, 14140, 4168, 630, 293, 4883, 880, 13162, 534, 264, 5692, 538, 15083, 14781, 269, 634, 5692, 5189, 5375, 1072, 543, 3872, 5238, 543, 8036, 519, 2199, 17069, 864, 538, 13492, 971, 607, 15839, 331, 11691, 543, 15790, 18782, 269, 6742, 4512, 681, 2246, 534, 523, 267, 606, 2038, 29966, 2713, 538, 744, 526, 836, 11445, 267, 2813, 513, 1062, 585, 1603, 513, 2199, 15083, 14781, 1893, 269, 4813, 28861, 519, 15335, 540, 519, 15083, 14781, 10243, 518, 2489, 630, 3467, 5063, 882, 11343, 693, 1862, 0, 763, 5053, 769, 638, 9974, 281, 589, 3778, 1315, 9990, 476, 272, 2421, 9478, 28828, 345, 454, 8530, 269, 11261, 281, 476, 1321, 270, 1428, 270, 1220, 277, 454, 21812, 281, 23171, 2160, 4964, 454, 1607, 568, 519, 1650, 540, 476, 12573, 1296, 540, 9810, 269, 12878, 2082, 676, 13099, 531, 13032, 538, 476, 15704, 279, 267, 519, 1101, 4305, 540, 519, 5053, 769, 638, 9974, 729, 547, 2243, 6014, 17838, 547, 8567, 543, 547, 16616, 543, 14892, 1346, 1336, 16944, 540, 10941, 542, 269, 8191, 885, 1287, 5828, 593, 5053, 7642, 538, 2489, 267, 11488, 476, 4968, 267, 1822, 883, 24815, 269, 8921, 538, 1899, 941, 1480, 1235, 543, 13162, 753, 269, 3143, 7584, 729, 23614, 454, 1607, 568, 519, 1650, 540, 476, 12573, 1296, 540, 9810, 269, 12878, 2082, 676, 13099, 531, 13032, 538, 476, 15704, 279, 267, 519, 1101, 4305, 540, 519, 5053, 769, 638, 9974, 729, 547, 2243, 6014, 17838, 547, 8567, 543, 547, 16616, 543, 14892, 1346, 1336, 16944, 540, 10941, 542, 269, 8191, 885, 1287, 5828, 593, 5053, 7642, 538, 2489, 267, 11488, 476, 4968, 267, 1822, 883, 24815, 269, 8921, 538, 1899, 941, 1480, 1235, 543, 13162, 753, 269, 3143, 7584, 729, 23614, 269, 5753, 5483, 593, 741, 3237, 267, 22278, 593, 741, 30347, 267, 543, 20577, 2390, 741, 31967, 269, 8409, 3954, 6407, 941, 16944, 8259, 789, 1223, 6961, 741, 26454, 269, 27819, 476, 3953, 267, 1822, 1004, 941, 15597, 14616, 693, 519, 7196, 282, 519, 968, 325, 23791, 892, 3283, 941, 1166, 690, 3022, 267, 535, 1441, 267, 610, 29802, 563, 297, 24944, 623, 2946, 30959, 6645, 519, 1686, 540, 519, 5053, 769, 638, 9974, 689, 922, 10120, 20297, 547, 922, 13524, 10601, 10678, 269, 1261, 25395, 922, 8129, 538, 4250, 543, 30983, 543, 922, 15325, 538, 28252, 547, 519, 1533, 269, 1261, 7710, 519, 6418, 25029, 540, 922, 5646, 15078, 267, 543, 2982, 875, 922, 10492, 267, 22679, 529, 6002, 267, 543, 3401, 5030, 543, 5249, 269, 1261, 6257, 922, 2553, 540, 23827, 566, 543, 25711, 267, 543, 2982, 875, 621, 15568, 10525, 540, 10751, 607, 7405, 540, 1514, 1852, 269, 634, 2278, 7475, 1010, 4241, 2272, 676, 12570, 519, 1764, 540, 519, 769, 638, 9974, 936, 1614, 543, 513, 3368, 5553, 593, 8050, 779, 2528, 267, 4346, 267, 543, 7214, 1272, 563, 268, 23171, 2160, 4964, 454, 268, 22910, 4266, 912, 268, 9990, 6609, 912, 268, 1715, 9990, 454, 268, 19833, 7584, 912, 268, 8605, 7516, 912, 268, 476, 277, 269, 876, 26028, 264, 1535, 476, 280, 269, 876, 22607, 264, 1535, 630, 323, 994, 663, 2022, 621, 547, 707, 1514, 3060, 454, 7197, 6435, 995, 21436, 17352, 454, 8450, 782, 6075, 8039, 28825, 296, 1810, 1405, 1174, 1946, 1866, 1810, 1405, 899, 713, 1433, 269, 9320, 1152, 835, 1268, 814, 12649, 621, 865, 2484, 267, 543, 646, 610, 1352, 3893, 12758, 538, 519, 835, 610, 1079, 19309, 11271, 593, 519, 7245, 540, 519, 5053, 769, 638, 9974, 269, 7102, 3118, 267, 621, 781, 513, 1434, 1433, 269, 1306, 713, 568, 513, 960, 540, 4081, 1686, 2864, 982, 835, 2854, 9003, 585, 2442, 4616, 267, 519, 835, 610, 1079, 19309, 11271, 723, 547, 581, 972, 269, 1809, 519, 1382, 4667, 4396, 267, 543, 519, 519, 4513, 616, 711, 30891, 748, 269, 630, 8170, 1576, 267, 594, 9327, 1405, 917, 267, 711, 1373, 513, 11285, 538, 5053, 610, 3864, 1686, 1040, 1809, 689, 1018, 594, 666, 2995, 267, 3388, 568, 22510, 2614, 563, 1607, 1433, 568, 513, 17485, 518, 269, 898, 568, 3520, 1026, 569, 3819, 543, 796, 15517, 532, 269, 4634, 519, 1935, 543, 12225, 1108, 568, 1360, 771, 329, 31212, 269, 634, 2278, 26357, 1472, 538, 942, 543, 1747, 543, 2488, 12303, 1100, 5813, 883, 519, 2621, 1373, 4330, 269, 20290, 1169, 2366, 766, 3762, 519, 5467, 6998, 834, 15367, 616, 519, 1004, 1373, 4330, 286, 2580, 834, 25585, 1705, 602, 4755, 8119, 834, 6011, 1705, 649, 1205, 689, 519, 2063, 1448, 547, 713, 1448, 8119, 1703, 616, 12303, 1100, 23278, 4925, 610, 4277, 610, 10477, 11673, 269, 1548, 28828, 345, 814, 2944, 568, 513, 7294, 16320, 1108, 540, 824, 1004, 781, 4681, 609, 1022, 20726, 540, 2681, 2451, 856, 269, 4787, 760, 713, 835, 269, 0, 2791, 1522, 711, 8275, 621, 267, 855, 2296, 568, 835, 540, 519, 1034, 2352, 454, 331, 16722, 593, 3047, 269, 4706, 3652, 723, 6266, 540, 17756, 267, 543, 922, 1913, 616, 454, 14551, 547, 11963, 269, 3371, 781, 513, 6093, 1383, 540, 875, 14845, 2296, 666, 454, 2041, 281, 17166, 519, 1913, 834, 22940, 2437, 834, 324, 697, 257, 543, 834, 560, 11681, 257, 856, 10978, 269, 1358, 782, 1118, 454, 1492, 1482, 3280, 950, 596, 2161, 873, 267, 855, 789, 616, 25250, 11207, 454, 303, 1258, 23395, 543, 10259, 1034, 2296, 1913, 4440, 568, 2653, 585, 596, 2676, 8117, 585, 1004, 1565, 2296, 585, 519, 1101, 942, 267, 891, 5686, 540, 28031, 802, 454, 514, 938, 1893, 1118, 621, 5393, 4101, 563, 763, 2262, 2048, 531, 8224, 685, 568, 552, 1399, 332, 10999, 6508, 689, 519, 1101, 1079, 5022, 538, 519, 5259, 454, 531, 8224, 281, 2048, 10401, 685, 543, 2048, 15883, 23823, 8072, 15152, 3033, 685, 568, 519, 1152, 2262, 538, 519, 2296, 1893, 602, 5956, 543, 7475, 609, 454, 1492, 5022, 2048, 1495, 17483, 8072, 14818, 1518, 685, 568, 513, 2262, 1759, 593, 519, 2245, 540, 2367, 538, 519, 4936, 5480, 945, 24019, 454, 1492, 5168, 540, 741, 6898, 676, 2220, 8960, 593, 741, 1449, 2873, 269, 24664, 1176, 267, 19951, 649, 454, 1873, 792, 593, 513, 1433, 3079, 563, 763, 20125, 2347, 4845, 538, 519, 2296, 1893, 568, 281, 2048, 296, 993, 19028, 1607, 4845, 814, 1169, 4484, 540, 519, 9904, 538, 621, 281, 2048, 763, 2656, 6960, 16541, 26357, 936, 454, 1492, 27823, 2915, 19028, 1432, 781, 519, 13074, 835, 1606, 22690, 762, 2296, 2262, 888, 2467, 616, 1896, 1806, 540, 835, 1606, 22690, 762, 1913, 609, 8370, 5022, 267, 1519, 834, 560, 4958, 3481, 2437, 834, 2675, 7806, 3481, 257, 543, 834, 2675, 872, 3481, 4799, 1432, 824, 1913, 16310, 834, 327, 2426, 787, 257, 543, 834, 836, 787, 257, 1439, 538, 29038, 326, 787, 24350, 2467, 5749, 1405, 1022, 2336, 6701, 972, 1022, 1913, 602, 723, 1100, 1913, 602, 22565, 609, 873, 888, 5591, 824, 2262, 538, 519, 1893, 30053, 609, 3923, 267, 543, 1100, 2296, 1913, 22565, 609, 10538, 267, 8988, 610, 13711, 269, 623, 640, 519, 15023, 563, 6701, 972, 1022, 1913, 538, 799, 519, 1482, 4484, 5526, 1614, 2053, 538, 513, 4737, 888, 23777, 1227, 267, 2296, 3340, 513, 3834, 1156, 547, 2061, 602, 689, 8345, 267, 607, 538, 13520, 3887, 831, 610, 3444, 16687, 269, 1809, 519, 10228, 2296, 9218, 1281, 2270, 513, 1906, 1806, 454, 23719, 3834, 2380, 267, 1519, 9992, 650, 1652, 630, 23719, 9992, 1571, 264, 543, 546, 31866, 1087, 338, 1222, 630, 1492, 5604, 540, 1373, 513, 546, 31866, 1087, 1040, 1656, 267, 1100, 267, 834, 1962, 31014, 257, 568, 711, 513, 1483, 2262, 563, 6701, 972, 1022, 1913, 602, 2291, 1152, 607, 513, 12683, 888, 2467, 616, 3833, 513, 1906, 267, 1519, 23805, 267, 10822, 22811, 338, 543, 10209, 338, 269, 630, 1432, 798, 1346, 1614, 3615, 723, 538, 1455, 286, 994, 1432, 568, 519, 6587, 540, 9765, 630, 6518, 1797, 547, 581, 9120, 547, 610, 1732, 982, 25145, 2467, 3884, 1405, 835, 267, 855, 519, 15769, 540, 519, 10228, 2296, 9218, 1589, 602, 835, 568, 2877, 269, 1358, 616, 6236, 519, 7872, 540, 834, 1372, 3865, 2437, 799, 1131, 1611, 834, 1729, 581, 454, 3674, 972, 513, 2262, 585, 513, 4816, 21963, 32120, 888, 29128, 5063, 267, 789, 941, 3274, 1572, 4816, 21963, 327, 9233, 630, 1177, 2346, 1040, 1809, 25015, 267, 4966, 723, 3323, 10912, 891, 838, 4176, 2370, 1814, 1562, 834, 327, 4355, 1206, 257, 610, 1256, 519, 2706, 2275, 1393, 454, 293, 7419, 23166, 17628, 299, 23360, 454, 2005, 779, 5863, 602, 1034, 1004, 3494, 1565, 2296, 543, 2348, 1187, 616, 20102, 12600, 563, 5475, 1296, 540, 1928, 2685, 3843, 547, 1451, 519, 1893, 676, 8357, 1944, 8239, 3652, 267, 875, 1419, 798, 454, 29324, 1439, 909, 693, 519, 9153, 2244, 540, 21711, 286, 27824, 569, 563, 10144, 616, 8036, 602, 519, 9875, 789, 960, 693, 1945, 267, 519, 3152, 519, 12587, 269, 594, 3858, 609, 454, 10472, 6240, 543, 952, 707, 1439, 3804, 568, 547, 581, 2731, 1434, 693, 6516, 2719, 5220, 267, 1287, 960, 2182, 454, 663, 1353, 873, 1169, 3781, 563, 4913, 267, 1034, 6267, 5749, 1406, 4974, 2296, 547, 20272, 5220, 610, 1831, 8059, 1235, 269, 1358, 454, 342, 656, 547, 5968, 267, 2170, 267, 543, 1514, 1125, 1107, 543, 1934, 779, 519, 1883, 1107, 609, 824, 1004, 563, 4407, 2835, 543, 3652, 2611, 1271, 547, 1628, 513, 3280, 5748, 585, 519, 2296, 1893, 2676, 2102, 9334, 1480, 6278, 786, 1491, 6267, 547, 519, 2792, 1377, 789, 7287, 563, 763, 1655, 851, 827, 519, 1514, 5057, 540, 1565, 2296, 568, 602, 621, 2306, 1565, 1187, 269, 6875, 454, 1415, 15908, 610, 1719, 602, 3322, 824, 1004, 543, 798, 621, 538, 2296, 267, 1818, 519, 1893, 851, 454, 1993, 707, 6197, 269, 5502, 540, 7836, 17334, 8357, 1944, 17062, 6863, 8638, 267, 6443, 513, 6367, 1782, 454, 548, 6558, 267, 13793, 856, 693, 513, 5026, 3046, 267, 610, 1265, 707, 14282, 19482, 8630, 269, 634, 7399, 585, 2259, 454, 732, 11995, 269, 1411, 3580, 1745, 707, 6454, 1169, 1554, 543, 1256, 723, 930, 1187, 693, 519, 1482, 942, 563, 2467, 568, 1100, 4212, 538, 4212, 8690, 610, 8423, 538, 554, 3711, 584, 3455, 282, 9444, 11945, 6862, 12566, 538, 12566, 20625, 2483, 2252, 513, 20757, 22655, 5388, 267, 1018, 1281, 513, 19493, 3548, 888, 5970, 562, 4680, 602, 2196, 543, 3952, 602, 9329, 888, 2171, 1491, 2296, 585, 11292, 269, 1809, 952, 649, 2263, 922, 19433, 525, 267, 649, 1265, 602, 844, 6506, 663, 666, 960, 454, 338, 869, 569, 267, 4216, 532, 14034, 616, 4009, 267, 543, 513, 25647, 6477, 568, 9444, 689, 19892, 6862, 568, 621, 513, 6477, 563, 3080, 979, 846, 267, 476, 273, 2520, 3150, 269, 1924, 267, 835, 4779, 846, 267, 476, 273, 803, 3150, 888, 2691, 513, 2777, 17236, 909, 267, 621, 17236, 1524, 563, 2691, 519, 6801, 616, 856, 267, 789, 616, 7298, 267, 855, 950, 519, 8279, 616, 856, 267, 789, 616, 15865, 563, 4517, 1946, 267, 950, 594, 2842, 909, 1250, 4585, 267, 594, 1376, 621, 267, 855, 950, 594, 2842, 909, 713, 1557, 267, 594, 1439, 621, 888, 1692, 666, 1412, 338, 3916, 4960, 543, 513, 3170, 4960, 262, 581, 519, 1482, 267, 1247, 1412, 8797, 812, 543, 513, 8797, 18560, 262, 616, 0, 14532, 540, 772, 3387, 20255, 27051, 1079, 4627, 1296, 3516, 972, 729, 513, 31494, 3957, 16217, 769, 628, 12711, 945, 1185, 3144, 13411, 9753, 693, 20242, 4425, 590, 836, 593, 835, 8317, 519, 31494, 4682, 5087, 9570, 547, 8738, 2742, 543, 18423, 585, 1082, 1296, 269, 2290, 1554, 1247, 519, 31494, 729, 2921, 1010, 6640, 7594, 267, 513, 8738, 332, 3150, 20916, 547, 1118, 20519, 267, 4547, 606, 22597, 547, 2709, 547, 519, 31494, 1317, 646, 1185, 2938, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18907, 476, 2641, 267, 476, 1001, 277, 910, 1879, 4280, 5063, 676, 1053, 1018, 1352, 15109, 547, 581, 519, 1034, 1271, 3364, 513, 4708, 28265, 518, 666, 1451, 267, 772, 2529, 269, 4659, 540, 13458, 630, 4785, 7709, 264, 5518, 27211, 14811, 321, 3073, 12943, 267, 968, 2791, 666, 2760, 917, 2614, 1686, 1848, 769, 938, 960, 267, 1686, 568, 606, 1271, 4116, 540, 1018, 814, 1107, 543, 814, 711, 1107, 5249, 538, 5883, 7526, 1472, 519, 1158, 1510, 5208, 563, 1607, 729, 835, 4295, 2601, 1946, 2475, 7709, 9250, 513, 11450, 2063, 2887, 609, 2817, 3778, 4303, 630, 301, 8461, 264, 543, 2813, 519, 6820, 13458, 15356, 267, 799, 1131, 5431, 519, 1283, 2875, 3785, 547, 6542, 519, 2136, 2276, 685, 7029, 547, 4708, 269, 7831, 3018, 4718, 519, 7583, 332, 1588, 540, 938, 6278, 936, 519, 2250, 1153, 1032, 267, 1519, 519, 6881, 540, 519, 6820, 13458, 15356, 543, 11564, 676, 824, 715, 8461, 1053, 547, 2475, 7709, 779, 22071, 1107, 543, 1018, 513, 3018, 621, 729, 2336, 10376, 1032, 2817, 3778, 4303, 2591, 811, 982, 476, 4335, 267, 1822, 1053, 547, 8495, 3140, 3584, 2059, 513, 3844, 6249, 267, 543, 1287, 547, 1020, 3860, 3785, 1759, 593, 741, 1382, 267, 689, 26974, 3740, 24299, 547, 14046, 4574, 269, 3414, 713, 1184, 267, 1053, 1020, 1898, 3329, 894, 267, 10763, 267, 543, 2792, 1983, 269, 634, 1283, 21738, 543, 9972, 13366, 538, 1142, 7121, 1107, 17245, 267, 8858, 267, 1957, 267, 2773, 543, 3896, 1107, 689, 1142, 24988, 6735, 2097, 547, 519, 2160, 540, 15930, 585, 519, 26366, 996, 661, 269, 2142, 327, 2590, 2817, 3778, 4303, 2552, 652, 563, 4002, 13628, 267, 4873, 476, 1626, 267, 13222, 540, 519, 6820, 13458, 20761, 4741, 693, 2475, 7709, 941, 593, 1688, 547, 8366, 519, 22305, 1116, 6820, 13458, 15356, 896, 713, 1032, 779, 6249, 540, 968, 7336, 2610, 267, 7402, 3300, 543, 16510, 1848, 634, 9972, 6498, 23602, 267, 5697, 676, 715, 8461, 16488, 267, 941, 7395, 27932, 744, 3149, 327, 913, 267, 1744, 531, 2106, 5062, 293, 541, 1782, 543, 24981, 26427, 269, 634, 1053, 689, 853, 13550, 517, 267, 28446, 1421, 21503, 267, 5206, 543, 5340, 513, 4557, 8792, 26974, 3740, 2773, 593, 661, 32642, 17619, 543, 1200, 960, 593, 519, 17629, 16672, 540, 5274, 7126, 269, 14400, 9576, 267, 513, 2875, 693, 21862, 21672, 5664, 3427, 538, 12968, 565, 21343, 4465, 538, 519, 21738, 6498, 585, 1200, 17245, 593, 519, 2230, 5198, 269, 2475, 7709, 11498, 7249, 17894, 547, 891, 1762, 4708, 28265, 619, 256, 1284, 786, 2671, 811, 827, 891, 23602, 543, 741, 3785, 4166, 2336, 763, 17758, 16008, 729, 519, 7583, 332, 1588, 540, 3018, 602, 849, 4718, 715, 8461, 1053, 9683, 2475, 7709, 22071, 593, 519, 2817, 26864, 538, 6115, 267, 667, 5861, 269, 4841, 267, 3610, 543, 669, 1653, 2158, 689, 14522, 267, 4993, 267, 21086, 267, 17857, 267, 1715, 14948, 267, 7147, 267, 28599, 543, 9098, 3357, 547, 1451, 827, 519, 5692, 540, 2475, 7709, 267, 827, 4295, 2035, 538, 4655, 2359, 267, 543, 827, 1946, 938, 960, 6927, 538, 2221, 779, 1158, 563, 2026, 1053, 543, 3610, 1376, 3206, 827, 1985, 1032, 779, 715, 8461, 6249, 1107, 14171, 513, 5776, 538, 3778, 1107, 2475, 7709, 786, 1586, 8716, 513, 4708, 20761, 7828, 269, 1284, 917, 602, 1686, 568, 2407, 540, 2984, 540, 1004, 543, 3906, 602, 3576, 513, 1796, 593, 1271, 2152, 540, 519, 1554, 267, 11121, 1866, 547, 1246, 267, 543, 1818, 519, 1158, 513, 811, 12560, 1747, 607, 513, 1267, 563, 26835, 22934, 585, 1007, 2228, 2200, 547, 948, 1053, 543, 3610, 960, 2509, 519, 6820, 13458, 15356, 585, 2817, 3778, 4303, 476, 1001, 278, 256, 0, 1692, 547, 17546, 9046, 4149, 6295, 10341, 547, 8866, 454, 18455, 2111, 547, 4194, 2042, 593, 741, 1378, 568, 513, 4909, 1272, 5578, 602, 1453, 1058, 1376, 1565, 2038, 593, 538, 1272, 269, 2991, 782, 267, 1453, 786, 1360, 4166, 1376, 547, 4308, 609, 1585, 2010, 540, 2042, 543, 267, 952, 649, 1810, 1406, 4001, 1966, 9010, 1983, 3927, 267, 789, 3580, 1439, 909, 1565, 824, 2081, 540, 3257, 1919, 563, 1692, 547, 4308, 609, 513, 1966, 267, 875, 547, 4308, 609, 17140, 267, 610, 875, 547, 4308, 609, 519, 1004, 609, 7247, 649, 2097, 883, 4655, 616, 930, 540, 519, 2152, 602, 616, 2404, 609, 1966, 9010, 269, 1403, 649, 4001, 1453, 547, 4308, 609, 891, 4655, 633, 3871, 267, 649, 3580, 581, 4543, 547, 1832, 873, 689, 16116, 909, 6208, 602, 616, 1360, 2352, 547, 30817, 2663, 538, 782, 891, 2127, 563, 4263, 519, 1482, 942, 267, 1565, 547, 8207, 2042, 543, 7526, 568, 849, 513, 1259, 540, 2866, 1453, 538, 3375, 6194, 269, 9752, 1453, 547, 1118, 2635, 3664, 568, 1776, 540, 519, 1271, 4247, 602, 3237, 1590, 1491, 593, 609, 741, 1453, 269, 1879, 1453, 1451, 1966, 9010, 1983, 267, 789, 849, 1451, 602, 789, 666, 3972, 741, 2702, 547, 1118, 1434, 3664, 585, 2933, 563, 19547, 624, 543, 6218, 2042, 454, 763, 7887, 1966, 602, 1082, 1453, 945, 3668, 1966, 9010, 1983, 3068, 568, 602, 789, 1810, 1406, 5431, 950, 789, 723, 513, 1966, 610, 789, 2461, 711, 2111, 547, 6218, 1018, 3681, 789, 723, 547, 4194, 621, 269, 1452, 1453, 949, 2746, 791, 6160, 1947, 267, 1510, 3206, 269, 634, 1101, 1900, 568, 547, 948, 1453, 1451, 875, 7114, 741, 3681, 666, 948, 2327, 789, 2461, 1818, 2635, 5079, 563, 11997, 267, 519, 1292, 3364, 568, 547, 1376, 676, 3450, 1453, 875, 547, 2697, 519, 1966, 269, 6884, 267, 3274, 676, 7114, 519, 1966, 267, 621, 779, 2009, 547, 979, 513, 1279, 1259, 538, 922, 6571, 269, 4495, 1453, 2697, 519, 1966, 267, 789, 991, 547, 581, 6026, 547, 1020, 1896, 2009, 3435, 1354, 3257, 4376, 3116, 269, 769, 1840, 547, 7114, 741, 3681, 267, 1453, 1590, 581, 2111, 547, 1294, 741, 5294, 543, 931, 543, 2708, 873, 547, 1265, 519, 835, 602, 17015, 873, 1655, 543, 1946, 563, 5629, 513, 1126, 17767, 1896, 3681, 543, 519, 2009, 4539, 540, 1142, 267, 789, 1590, 6430, 799, 4781, 568, 1655, 269, 2311, 713, 1448, 267, 621, 779, 3857, 958, 1271, 547, 4001, 1453, 602, 952, 789, 3442, 835, 4781, 543, 519, 1966, 3884, 1406, 12193, 267, 789, 666, 2141, 2119, 1945, 3116, 547, 5000, 873, 547, 1832, 3843, 547, 4194, 513, 1966, 2394, 621, 779, 12193, 563, 28097, 1966, 9010, 609, 519, 1126, 454, 2691, 2042, 8451, 585, 1453, 267, 972, 779, 1100, 991, 547, 2196, 547, 2119, 547, 4194, 873, 3054, 269, 1403, 513, 1126, 814, 513, 1966, 267, 2285, 873, 519, 4316, 547, 2697, 621, 543, 4194, 621, 873, 1345, 1354, 4543, 267, 1256, 952, 519, 1126, 568, 896, 930, 2566, 269, 898, 779, 606, 5140, 1565, 4316, 267, 607, 1134, 607, 606, 4998, 942, 547, 4001, 873, 1007, 1983, 269, 2986, 1576, 267, 952, 972, 779, 513, 3106, 1966, 267, 26544, 5612, 563, 1103, 1840, 267, 950, 649, 6430, 602, 948, 568, 2877, 267, 1018, 3237, 1058, 798, 568, 3391, 873, 267, 948, 873, 1589, 267, 2709, 873, 513, 1966, 9010, 2203, 267, 543, 1865, 609, 873, 519, 1114, 3681, 543, 875, 547, 957, 267, 1900, 676, 1900, 563, 8253, 15603, 1453, 7985, 610, 16462, 547, 1118, 1919, 4443, 585, 873, 676, 7679, 1359, 538, 741, 1272, 3884, 1406, 513, 1259, 547, 948, 1453, 267, 855, 2864, 547, 1118, 873, 8200, 543, 547, 1711, 1582, 12635, 543, 1582, 21873, 2042, 269, 32695, 547, 873, 1797, 4543, 873, 1930, 741, 8186, 267, 711, 9598, 908, 1018, 547, 798, 563, 2704, 869, 2067, 4539, 538, 1931, 547, 4001, 1966, 9010, 1983, 547, 3214, 454, 2691, 1453, 616, 4847, 547, 1995, 519, 2067, 4539, 540, 741, 3664, 267, 1565, 1966, 9010, 1983, 568, 811, 2500, 269, 2755, 621, 779, 1271, 547, 1118, 2386, 972, 616, 1100, 3106, 2152, 267, 3214, 991, 547, 1745, 1018, 779, 8345, 267, 1256, 952, 621, 779, 513, 2942, 12343, 563, 8253, 15603, 1453, 1995, 519, 2067, 4539, 540, 741, 3664, 4465, 1406, 12954, 873, 547, 1589, 827, 875, 547, 957, 543, 786, 2285, 873, 7301, 6015, 538, 741, 2702, 547, 6430, 269, 8307, 676, 7680, 1018, 2731, 4523, 786, 789, 581, 2111, 547, 1265, 4244, 3681, 610, 2263, 824, 10092, 602, 14183, 873, 811, 563, 1103, 1840, 267, 891, 2067, 4539, 616, 513, 1565, 4316, 602, 2636, 721, 3237, 547, 948, 960, 609, 938, 1453, 547, 4194, 2042, 543, 786, 581, 15422, 538, 2663, 3664, 20193, 1522, 1719, 596, 1862, 0, 14588, 32496, 585, 596, 454, 1721, 1152, 1269, 1626, 269, 4962, 1269, 1556, 270, 2457, 454, 6930, 493, 484, 7454, 4828, 11762, 593, 1234, 13257, 454, 268, 16195, 538, 519, 2136, 2276, 281, 7033, 5202, 543, 1234, 13257, 2304, 2079, 540, 1271, 2621, 267, 2101, 5515, 267, 519, 5250, 540, 1072, 1644, 3906, 3947, 606, 5813, 883, 519, 1686, 540, 772, 2529, 269, 1072, 1416, 563, 268, 634, 12266, 7169, 543, 28088, 532, 1234, 13257, 1607, 1957, 30211, 593, 519, 6268, 540, 2804, 267, 2797, 267, 543, 1514, 15024, 8045, 676, 519, 2229, 1310, 519, 12266, 4838, 563, 268, 8534, 10369, 543, 13751, 1234, 13257, 538, 14411, 267, 4516, 763, 1699, 1957, 25701, 547, 519, 2242, 538, 519, 4074, 9086, 602, 568, 4867, 896, 7156, 538, 519, 11662, 540, 14411, 267, 4516, 563, 268, 3557, 11150, 281, 12590, 685, 2657, 1234, 13257, 1607, 1957, 6257, 519, 12590, 685, 2657, 1234, 13257, 267, 6941, 519, 24117, 267, 875, 621, 729, 7550, 267, 519, 7616, 2497, 267, 543, 922, 1764, 563, 268, 4065, 1234, 13257, 896, 519, 645, 860, 3534, 15521, 538, 27597, 763, 645, 860, 3534, 14097, 729, 6353, 676, 513, 3126, 540, 15024, 17298, 676, 476, 3393, 3864, 2477, 269, 634, 15024, 6322, 693, 2870, 606, 7471, 2362, 2069, 5736, 538, 2342, 563, 268, 2475, 11038, 543, 30914, 1234, 13257, 3778, 763, 1957, 8039, 4930, 602, 5659, 519, 2591, 540, 519, 2475, 2883, 9872, 538, 476, 8146, 273, 543, 2491, 519, 4644, 540, 519, 2475, 12948, 15024, 896, 12832, 15614, 645, 1497, 563, 268, 16713, 25511, 16572, 543, 15525, 779, 1234, 13257, 763, 7784, 1876, 538, 519, 1533, 540, 16713, 729, 9896, 883, 1876, 547, 10038, 519, 946, 543, 1852, 519, 8400, 540, 32205, 543, 993, 32099, 1851, 519, 21127, 563, 268, 4457, 4065, 3778, 543, 10765, 1234, 13257, 10303, 540, 519, 1259, 519, 3872, 12602, 616, 1373, 17411, 538, 2221, 779, 3624, 267, 713, 2197, 786, 10836, 4619, 16124, 856, 540, 922, 1699, 30925, 609, 519, 4639, 563, 268, 19078, 4762, 26555, 540, 15525, 543, 11686, 16195, 1234, 13257, 763, 3782, 15024, 4359, 676, 5518, 15525, 538, 476, 1001, 271, 723, 513, 1297, 540, 10486, 609, 519, 2487, 15024, 5189, 676, 5518, 11686, 563, 268, 16711, 31197, 10020, 538, 16195, 1234, 13257, 763, 1957, 11828, 519, 4214, 540, 519, 14223, 1909, 540, 513, 12016, 543, 2982, 602, 519, 6644, 540, 513, 2564, 11285, 666, 1689, 519, 3510, 538, 519, 3782, 10126, 563, 268, 1234, 13257, 547, 13724, 519, 5426, 540, 7731, 4065, 14399, 779, 2069, 540, 1390, 2956, 585, 9395, 2287, 909, 519, 1894, 1063, 519, 1533, 543, 1920, 4559, 1317, 519, 1967, 540, 1514, 15024, 7361, 5673, 593, 713, 3390, 563, 268, 634, 15348, 540, 2657, 543, 5516, 281, 1234, 13257, 7033, 5202, 763, 10073, 540, 31254, 5183, 288, 729, 1851, 519, 1883, 3782, 6963, 2621, 540, 519, 476, 1960, 271, 338, 630, 1492, 27504, 1222, 540, 22735, 1070, 543, 519, 957, 1705, 711, 7237, 1713, 11685, 563, 268, 15316, 1234, 13257, 538, 519, 11106, 7991, 540, 519, 7330, 763, 1957, 6257, 519, 1686, 540, 4987, 8041, 540, 519, 2136, 2276, 543, 519, 15024, 602, 519, 8041, 723, 1044, 998, 563, 268, 4317, 8232, 1234, 13257, 538, 519, 2136, 2276, 763, 2136, 2276, 540, 3013, 1058, 1445, 593, 519, 8594, 10567, 538, 922, 4317, 8232, 2508, 1062, 543, 17589, 2081, 540, 9319, 621, 563, 268, 3127, 779, 19004, 281, 634, 476, 1960, 272, 1234, 13257, 543, 595, 4292, 3590, 763, 4095, 2804, 1062, 568, 2189, 1317, 540, 606, 5872, 540, 1514, 543, 2797, 2188, 269, 634, 476, 1960, 272, 15024, 1134, 607, 519, 519, 22634, 1062, 616, 1883, 2188, 538, 1620, 3127, 779, 4346, 563, 268, 6496, 4516, 779, 5082, 7394, 3590, 10261, 1234, 13257, 286, 763, 21146, 1062, 540, 4516, 568, 1759, 593, 519, 2136, 8003, 3898, 799, 814, 519, 10348, 693, 519, 26958, 540, 513, 13338, 21257, 563, 268, 2817, 2657, 6796, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30214, 971, 607, 26533, 267, 3154, 543, 11591, 21539, 320, 269, 4658, 609, 30214, 1419, 1397, 1713, 6454, 950, 789, 2057, 891, 3536, 563, 8489, 616, 891, 674, 7495, 31778, 338, 1336, 888, 268, 674, 28229, 568, 1336, 538, 4829, 267, 9932, 543, 1164, 535, 28229, 8970, 21360, 630, 320, 1455, 10991, 6653, 10273, 3773, 547, 1082, 9268, 3536, 1040, 634, 2702, 547, 7558, 543, 10110, 535, 28229, 9775, 4922, 10838, 2043, 563, 268, 674, 1192, 753, 616, 6923, 9648, 4859, 11950, 1336, 538, 1585, 5388, 267, 4829, 543, 23611, 9274, 1519, 19637, 267, 6095, 331, 923, 543, 1148, 747, 10280, 267, 13212, 267, 30383, 543, 10568, 269, 5453, 520, 568, 519, 2101, 2707, 540, 535, 1192, 753, 538, 519, 2732, 269, 674, 1192, 753, 3112, 581, 12842, 607, 519, 1507, 16892, 19330, 3289, 1503, 848, 267, 519, 11747, 2838, 547, 2736, 519, 7554, 540, 519, 535, 1192, 753, 6675, 269, 901, 2306, 873, 519, 1034, 1455, 674, 7495, 31778, 547, 2014, 2589, 563, 268, 32587, 846, 568, 513, 4006, 6923, 9648, 538, 5144, 543, 10683, 2472, 689, 10800, 267, 13265, 543, 23820, 269, 8307, 827, 476, 1789, 260, 540, 519, 1158, 779, 2551, 814, 519, 11747, 267, 14915, 848, 267, 2838, 547, 2736, 1524, 713, 4006, 3564, 519, 2085, 540, 1079, 1296, 256, 2368, 1004, 616, 849, 6213, 547, 5144, 5946, 971, 607, 2013, 514, 543, 765, 344, 267, 4061, 9319, 26178, 1152, 568, 3006, 711, 2614, 563, 268, 8895, 716, 753, 616, 824, 23731, 657, 30828, 630, 3697, 535, 1192, 753, 264, 799, 666, 2014, 513, 2603, 540, 16063, 2589, 269, 30766, 2812, 267, 7105, 701, 553, 543, 10365, 616, 1806, 540, 7523, 716, 753, 543, 891, 616, 1419, 513, 1804, 851, 540, 513, 17154, 270, 557, 1326, 4115, 2732, 563, 268, 12443, 11169, 798, 711, 723, 606, 3742, 3560, 1062, 538, 519, 1507, 16892, 799, 666, 1291, 547, 1970, 2157, 540, 10338, 269, 1358, 616, 1459, 538, 513, 3099, 540, 1426, 281, 812, 333, 20738, 568, 1336, 538, 17228, 267, 22408, 4226, 565, 568, 6923, 9648, 538, 6149, 4829, 971, 607, 25636, 267, 890, 2851, 543, 3284, 878, 582, 269, 29813, 4226, 565, 267, 1535, 2643, 20738, 267, 812, 333, 20738, 543, 568, 558, 5306, 616, 4874, 11169, 602, 616, 1031, 607, 5841, 6653, 22211, 563, 2026, 674, 7495, 31778, 338, 616, 14605, 12842, 538, 519, 1507, 16892, 543, 3079, 1780, 998, 883, 519, 3935, 267, 621, 666, 1491, 9170, 689, 1896, 3108, 547, 513, 7008, 540, 2395, 585, 2589, 547, 2049, 1310, 10438, 1164, 674, 7495, 31778, 3536, 269, 1879, 2589, 2408, 16172, 1310, 4189, 267, 621, 779, 1419, 1317, 519, 829, 626, 5306, 545, 2962, 540, 9667, 6091, 15427, 676, 519, 19670, 1426, 7575, 829, 2365, 6980, 2417, 2059, 519, 22542, 8778, 269, 1234, 1061, 832, 538, 519, 8937, 19334, 538, 3210, 547, 519, 4611, 1253, 1549, 267, 799, 3123, 2589, 547, 2049, 563, 1432, 1198, 798, 674, 7495, 31778, 306, 723, 593, 519, 9667, 1062, 888, 306, 639, 1061, 1043, 1004, 666, 1995, 15499, 2589, 689, 28453, 540, 674, 7495, 31778, 338, 585, 513, 1297, 540, 4128, 912, 268, 634, 11950, 616, 711, 1134, 12842, 883, 519, 1560, 543, 2611, 538, 519, 9667, 8778, 585, 3476, 5712, 454, 268, 9603, 547, 1373, 23015, 582, 1227, 3742, 6675, 267, 674, 7495, 31778, 338, 7485, 1216, 543, 824, 12862, 883, 519, 24026, 269, 901, 949, 1291, 547, 12012, 15108, 5322, 630, 7945, 607, 11591, 21539, 320, 1070, 26533, 267, 5714, 12802, 543, 7766, 16063, 1928, 563, 268, 1452, 11950, 616, 6385, 25496, 676, 519, 4551, 602, 7363, 21078, 538, 519, 16892, 269, 28246, 18829, 666, 2333, 519, 2504, 540, 9362, 971, 607, 7250, 267, 3327, 8166, 543, 15655, 267, 4611, 538, 3154, 543, 26533, 563, 2414, 3313, 952, 674, 7495, 31778, 338, 1522, 581, 7700, 547, 707, 2589, 267, 519, 1034, 2500, 4640, 568, 547, 9004, 782, 674, 7495, 31778, 25202, 3536, 543, 7747, 707, 2589, 269, 11374, 519, 17594, 540, 782, 674, 7495, 31778, 338, 267, 519, 1985, 1900, 568, 547, 18928, 556, 7302, 718, 3188, 835, 8386, 14633, 1142, 674, 7495, 31778, 547, 948, 3313, 519, 7109, 762, 13066, 543, 2010, 540, 674, 7495, 31778, 338, 585, 596, 563, 15239, 8566, 3951, 2175, 602, 949, 4324, 689, 513, 1970, 674, 7495, 31778, 10791, 912, 1103, 1840, 547, 21528, 538, 519, 2359, 540, 6198, 8937, 4713, 971, 607, 30214, 267, 2963, 5267, 602, 513, 1970, 674, 7495, 31778, 2732, 949, 849, 723, 513, 1909, 547, 1404, 538, 7099, 543, 14715, 4713, 543, 1256, 538, 1453, 609, 10295, 8552, 4524, 269, 674, 28229, 543, 26178, 4731, 25388, 1632, 723, 1044, 2404, 609, 7646, 4965, 543, 2090, 723, 3254, 6454, 540, 28146, 2589, 538, 20158, 2550, 593, 513, 1970, 535, 28229, 2732, 269, 3194, 849, 5267, 602, 1164, 15499, 535, 28229, 5834, 949, 3895, 519, 5250, 540, 535, 28229, 6441, 2389, 7973, 2684, 534, 23838, 538, 519, 8937, 267, 4227, 2119, 696, 2684, 534, 10338, 269, 1306, 2119, 696, 2684, 534, 568, 519, 24888, 540, 22515, 267, 713, 1223, 849, 1860, 519, 2504, 540, 22515, 267, 938, 968, 10623, 601, 1434, 892, 9449, 563, 1692, 547, 1684, 513, 674, 7495, 31778, 26332, 1588, 10791, 454, 272, 269, 634, 26332, 1588, 18001, 454, 2414, 4693, 519, 1970, 674, 7495, 31778, 2732, 267, 782, 1164, 6363, 7495, 31778, 3536, 991, 547, 581, 17515, 689, 519, 2732, 585, 693, 2547, 1079, 4374, 267, 2394, 972, 814, 1044, 513, 1713, 5786, 538, 2589, 269, 31999, 2589, 1058, 581, 16913, 543, 6592, 593, 513, 3232, 4493, 267, 547, 3950, 1022, 2640, 689, 519, 8192, 1982, 269, 7305, 476, 272, 3947, 513, 2143, 1592, 540, 3536, 538, 1142, 674, 7495, 31778, 7121, 799, 1058, 581, 14284, 269, 7316, 9424, 616, 2016, 267, 891, 3536, 1058, 581, 14284, 1152, 1657, 519, 2016, 9570, 269, 3509, 4244, 3536, 666, 581, 10057, 15029, 1739, 513, 1970, 674, 7495, 31778, 2732, 269, 7305, 476, 273, 2488, 513, 1592, 540, 5078, 3536, 799, 666, 581, 10150, 269, 898, 568, 3622, 711, 5227, 602, 596, 1246, 513, 1970, 674, 7495, 31778, 2732, 1279, 3856, 269, 674, 7495, 31778, 338, 616, 513, 3339, 851, 540, 519, 2732, 543, 723, 2640, 585, 1072, 267, 971, 607, 3246, 20249, 543, 840, 321, 7821, 585, 16063, 1072, 269, 10163, 878, 1154, 8192, 6981, 540, 513, 2647, 5044, 540, 3536, 1058, 3622, 581, 14284, 952, 2009, 1813, 547, 519, 1981, 540, 8770, 19518, 563, 8368, 476, 272, 269, 16639, 547, 2057, 593, 513, 1970, 674, 7495, 31778, 2732, 454, 15933, 338, 547, 2057, 454, 293, 21209, 281, 13212, 267, 8695, 523, 11241, 267, 10027, 1845, 630, 285, 274, 1070, 4453, 338, 267, 533, 8986, 267, 562, 20076, 533, 8986, 267, 890, 2851, 267, 27335, 267, 1216, 28447, 267, 23984, 541, 21034, 267, 17646, 2740, 4829, 267, 12015, 4829, 267, 1804, 5713, 540, 4829, 454, 309, 1122, 564, 1963, 281, 607, 32651, 267, 1148, 747, 10280, 267, 4006, 26882, 17112, 454, 306, 11548, 22211, 281, 9932, 267, 535, 28229, 630, 285, 276, 326, 3232, 265, 1070, 1164, 535, 28229, 8970, 21360, 267, 989, 1511, 454, 7804, 3855, 281, 4829, 10433, 267, 2571, 10425, 6653, 2989, 609, 535, 28229, 267, 31394, 9174, 267, 18397, 9174, 267, 524, 11107, 267, 15555, 454, 293, 21209, 281, 8169, 731, 13212, 267, 22060, 1149, 267, 890, 2851, 267, 1086, 574, 3000, 267, 986, 3387, 27175, 267, 23984, 541, 21034, 267, 1216, 28447, 454, 309, 1122, 564, 1963, 281, 1148, 747, 10280, 267, 607, 32651, 630, 285, 274, 1070, 14043, 10174, 630, 285, 275, 21100, 1070, 26883, 1088, 28667, 630, 285, 16006, 7484, 1070, 22282, 630, 285, 476, 16006, 7484, 1070, 22648, 910, 5260, 1195, 630, 285, 272, 7484, 1070, 669, 545, 800, 3597, 267, 8970, 630, 285, 476, 16006, 25865, 1070, 535, 3317, 601, 630, 285, 476, 16006, 7484, 1070, 13342, 267, 682, 4060, 267, 21453, 571, 267, 19637, 267, 17112, 630, 285, 272, 270, 274, 7484, 1070, 2234, 545, 577, 1470, 23858, 267, 6777, 17112, 630, 285, 1015, 1070, 5614, 22323, 630, 19009, 851, 994, 290, 699, 1023, 281, 10568, 267, 30383, 267, 24061, 2472, 630, 30103, 267, 18437, 267, 16717, 32654, 267, 11523, 619, 267, 536, 4593, 7057, 1070, 538, 6081, 454, 301, 7491, 281, 8732, 515, 9749, 267, 16537, 778, 3930, 267, 30646, 630, 285, 1015, 994, 26765, 6979, 281, 782, 630, 577, 1157, 701, 553, 267, 21378, 2812, 267, 12015, 11305, 10165, 10365, 267, 19323, 10365, 267, 2898, 13386, 10365, 994, 7804, 3855, 281, 13386, 5144, 454, 300, 20488, 281, 10800, 267, 23820, 543, 13265, 454, 10267, 3150, 281, 4195, 630, 22574, 720, 267, 13284, 27198, 267, 8645, 10381, 267, 544, 2444, 17369, 821, 994, 8448, 10683, 2472, 281, 15446, 327, 4669, 267, 4672, 29931, 600, 267, 8169, 731, 454, 293, 21209, 281, 13212, 267, 3284, 878, 1824, 267, 25636, 630, 285, 476, 26528, 16532, 3109, 11241, 267, 10027, 1845, 630, 285, 274, 1070, 1279, 534, 630, 285, 1015, 1070, 11430, 3832, 525, 630, 285, 276, 1070, 562, 20076, 533, 8986, 267, 22060, 1149, 267, 533, 8986, 267, 890, 2851, 267, 726, 4548, 267, 929, 17480, 267, 1216, 28447, 454, 309, 1122, 564, 1963, 281, 28471, 31884, 267, 13767, 2044, 630, 285, 272, 6529, 1070, 17228, 267, 6777, 17112, 267, 6653, 15837, 630, 285, 16006, 7484, 994, 306, 11548, 22211, 281, 22408, 4226, 565, 630, 22213, 1070, 812, 333, 20738, 630, 275, 2641, 1070, 1535, 2643, 20738, 630, 280, 6858, 1070, 28915, 20738, 630, 280, 4792, 1070, 568, 558, 5306, 630, 4817, 274, 994, 265, 5455, 547, 476, 276, 326, 3232, 540, 535, 28229, 949, 581, 10057, 952, 3144, 609, 6980, 563, 8368, 476, 273, 269, 21909, 539, 4244, 3536, 602, 666, 581, 10057, 593, 513, 1970, 674, 7495, 31778, 2732, 454, 15933, 338, 547, 2972, 454, 21270, 534, 3570, 267, 30207, 267, 18812, 26258, 267, 18683, 267, 9932, 323, 1168, 5283, 517, 267, 737, 12685, 604, 8816, 267, 19790, 976, 267, 561, 1307, 267, 8260, 541, 1231, 267, 24453, 267, 6612, 26258, 267, 30392, 335, 1177, 267, 12566, 20625, 267, 678, 5684, 11241, 267, 4224, 5283, 517, 267, 14274, 2008, 347, 2704, 325, 2788, 320, 267, 19348, 22534, 267, 21167, 28667, 267, 536, 758, 669, 1195, 267, 31577, 267, 22648, 630, 21720, 1070, 11503, 32337, 267, 669, 32634, 267, 669, 1195, 2040, 267, 4212, 17852, 267, 3039, 10365, 267, 23858, 267, 669, 1161, 267, 16163, 30876, 267, 15837, 267, 22481, 267, 2234, 880, 267, 8988, 14043, 267, 5614, 22323, 630, 13582, 1152, 1070, 23601, 267, 1990, 1075, 577, 7236, 2008, 347, 10908, 9790, 6954, 2472, 267, 838, 3881, 267, 8970, 267, 28113, 267, 1135, 31980, 267, 844, 29184, 267, 7573, 630, 2254, 281, 15347, 568, 10691, 513, 674, 7495, 31778, 855, 4122, 4386, 609, 535, 1192, 753, 10245, 347, 263, 283, 272, 19625, 3232, 264, 5672, 611, 600, 5362, 267, 30637, 267, 890, 322, 753, 267, 12566, 10808, 267, 22481, 5452, 267, 28140, 877, 5452, 267, 30011, 5452, 267, 9267, 22756, 2008, 300, 20488, 543, 29380, 525, 281, 26178, 6954, 10800, 779, 5144, 267, 7573, 5144, 267, 1034, 10381, 630, 324, 3052, 269, 536, 4471, 267, 4342, 1897, 339, 267, 524, 1117, 323, 541, 267, 535, 9508, 994, 8448, 10683, 2472, 281, 7423, 267, 15446, 327, 4669, 630, 331, 716, 846, 6954, 1070, 10683, 1863, 15074, 10620, 267, 521, 12643, 564, 454, 16085, 13610, 630, 338, 1075, 13427, 1070, 7280, 267, 25308, 21360, 267, 11344, 21360, 267, 2848, 16129, 267, 7319, 1537, 846, 2008, 347, 6826, 1030, 267, 23758, 267, 737, 30865, 5622, 267, 16738, 267, 5798, 267, 31949, 267, 1661, 701, 327, 2008, 273, 269, 4530, 5123, 454, 763, 1449, 5123, 949, 581, 862, 10642, 1310, 693, 2547, 1079, 4374, 538, 519, 17594, 5123, 267, 950, 930, 1713, 6571, 540, 2589, 723, 1044, 6913, 269, 634, 3804, 568, 547, 18928, 32543, 28558, 1142, 674, 7495, 31778, 547, 3313, 519, 1377, 540, 1367, 674, 7495, 31778, 4616, 602, 666, 581, 20354, 7109, 730, 269, 589, 2947, 22173, 1982, 585, 519, 1449, 5123, 568, 13890, 538, 7305, 476, 274, 563, 10376, 3018, 267, 596, 616, 547, 4693, 835, 1808, 19346, 1826, 267, 10438, 835, 7674, 593, 1614, 5094, 2395, 269, 4635, 707, 10835, 3950, 518, 267, 6895, 707, 2589, 585, 476, 4366, 3108, 1310, 1142, 7674, 547, 3313, 952, 972, 568, 513, 2009, 5114, 547, 602, 19346, 269, 1403, 596, 3494, 972, 568, 1100, 5114, 936, 519, 1739, 476, 4366, 3108, 267, 596, 666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 272, 912, 1038, 14827, 263, 272, 994, 0, 26611, 23591, 24800, 270, 7090, 454, 5814, 942, 454, 11907, 815, 2715, 10926, 3698, 4017, 3799, 2187, 825, 952, 562, 2652, 271, 912, 1038, 2132, 476, 271, 454, 825, 8640, 562, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 952, 16597, 269, 13757, 318, 4486, 3799, 268, 272, 264, 543, 1239, 269, 13757, 318, 4486, 3799, 268, 273, 15892, 2018, 1267, 815, 1239, 19559, 268, 272, 316, 1341, 1239, 19559, 268, 273, 2639, 2018, 1239, 19559, 316, 815, 1267, 454, 2018, 2132, 1267, 454, 1038, 8640, 16597, 269, 13757, 318, 4486, 3799, 268, 272, 264, 610, 1239, 269, 13757, 318, 4486, 3799, 268, 273, 15892, 2018, 952, 16597, 269, 13757, 318, 4486, 3799, 268, 272, 15892, 3546, 1267, 815, 1239, 19559, 268, 272, 316, 1341, 4017, 3799, 268, 273, 994, 3546, 1239, 19559, 316, 815, 1267, 454, 3546, 2132, 1267, 454, 2018, 3116, 912, 3546, 1267, 815, 4017, 3799, 268, 272, 264, 1341, 1239, 19559, 268, 273, 2639, 3546, 1239, 19559, 316, 815, 1267, 454, 3546, 2132, 1267, 454, 1038, 3116, 912, 2018, 1267, 815, 4017, 3799, 268, 272, 264, 1341, 4017, 3799, 268, 273, 994, 2018, 1239, 19559, 316, 815, 1267, 454, 2018, 2132, 1267, 28329, 3698, 4017, 23631, 2017, 572, 3799, 2187, 825, 952, 562, 2652, 271, 912, 1038, 2132, 476, 271, 454, 825, 8640, 562, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 4017, 23631, 2017, 572, 3799, 268, 272, 264, 1341, 4017, 23631, 2017, 572, 3799, 268, 273, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 834, 8340, 25828, 7089, 1422, 333, 4840, 825, 1535, 815, 6151, 17750, 2891, 11767, 513, 1297, 281, 19515, 825, 952, 1535, 18994, 323, 13424, 10031, 2018, 1775, 815, 703, 3287, 994, 2018, 1376, 22710, 815, 942, 28333, 4590, 2018, 1820, 834, 4910, 738, 689, 9218, 24333, 325, 756, 9217, 994, 2018, 942, 5091, 545, 815, 942, 28333, 3890, 268, 11034, 22710, 454, 2018, 1820, 834, 305, 29025, 585, 667, 1112, 2435, 24333, 942, 5091, 545, 454, 2018, 1376, 22710, 815, 942, 28333, 4590, 2018, 1820, 834, 4910, 738, 689, 1234, 15479, 633, 24333, 325, 756, 23631, 2017, 572, 9217, 994, 2018, 942, 318, 13440, 815, 942, 28333, 3890, 268, 11034, 22710, 454, 2018, 1820, 834, 305, 29025, 585, 1234, 15479, 633, 24333, 5503, 28333, 3890, 268, 11034, 22710, 454, 2018, 1820, 834, 11795, 2397, 538, 681, 29025, 630, 13434, 27641, 5288, 667, 545, 264, 2580, 5503, 318, 13440, 6066, 5091, 545, 2437, 315, 333, 4840, 825, 3116, 912, 1038, 1820, 834, 6546, 568, 711, 606, 8870, 257, 0, 2745, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 2745, 1496, 272, 267, 476, 273, 267, 476, 274, 316, 1341, 1496, 275, 267, 476, 276, 267, 476, 277, 2639, 2745, 18358, 17098, 256, 11172, 2608, 476, 275, 454, 2745, 476, 274, 2608, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 320, 815, 22373, 15916, 2580, 476, 273, 269, 876, 267, 476, 275, 267, 476, 275, 1341, 476, 276, 267, 476, 273, 2608, 476, 275, 269, 280, 267, 834, 13328, 257, 2608, 476, 274, 2639, 2745, 513, 454, 2745, 513, 2608, 476, 274, 454, 2745, 513, 1341, 22373, 1158, 31116, 2745, 513, 314, 271, 2639, 2745, 513, 314, 272, 2639, 2745, 513, 314, 272, 281, 274, 281, 272, 2639, 2745, 513, 314, 272, 281, 276, 281, 272, 6012, 272, 281, 274, 281, 272, 316, 3097, 0, 2745, 834, 320, 4840, 2745, 1412, 29582, 7055, 2745, 834, 320, 257, 1412, 321, 7055, 2745, 834, 15916, 257, 1341, 834, 2622, 4840, 2745, 834, 27398, 257, 2608, 476, 274, 454, 2745, 476, 273, 2608, 834, 25402, 543, 32515, 27029, 320, 815, 834, 15916, 4840, 2745, 513, 454, 2745, 513, 2608, 476, 274, 454, 2745, 513, 1341, 834, 1158, 4840, 2745, 513, 314, 271, 2639, 2745, 513, 314, 272, 2639, 2745, 513, 314, 271, 6012, 271, 2639, 2745, 513, 314, 275, 6012, 271, 2639, 338, 815, 834, 8702, 4840, 2745, 521, 314, 272, 281, 274, 281, 272, 2639, 2745, 521, 314, 272, 281, 276, 281, 272, 6012, 272, 281, 274, 281, 272, 2639, 2745, 521, 314, 4097, 281, 2568, 281, 2537, 2639, 2745, 521, 314, 8660, 281, 2568, 18737, 275, 316, 3097, 0, 5814, 15259, 454, 5814, 26417, 454, 5228, 7194, 1104, 1611, 692, 258, 5425, 309, 1413, 1575, 258, 692, 1740, 323, 597, 815, 15259, 10947, 322, 23424, 4590, 12949, 815, 960, 323, 597, 266, 257, 2260, 16557, 23631, 1636, 27406, 5016, 338, 13990, 815, 11713, 19972, 30360, 815, 11713, 19972, 11243, 16655, 815, 11713, 19972, 11243, 14737, 815, 29129, 5976, 1930, 9638, 987, 267, 1007, 1467, 284, 5257, 264, 607, 26417, 12803, 912, 825, 5467, 815, 26417, 18667, 518, 6262, 12364, 12803, 994, 825, 585, 4737, 538, 5467, 912, 1038, 8464, 6910, 8443, 263, 992, 314, 271, 25818, 15615, 21405, 314, 272, 8079, 20285, 1721, 1142, 538, 2039, 12759, 4433, 13990, 15892, 825, 1413, 30360, 6910, 4433, 13990, 314, 26421, 6012, 272, 7481, 19972, 30360, 815, 15044, 10857, 809, 30360, 2020, 1721, 1142, 538, 2039, 12759, 4433, 13990, 15892, 825, 952, 8464, 314, 26421, 6012, 272, 316, 2652, 3193, 10857, 809, 30360, 2187, 1038, 1413, 11243, 16655, 6910, 4433, 13990, 314, 26421, 6012, 271, 7481, 825, 952, 8464, 314, 26421, 6012, 272, 316, 2652, 1295, 10857, 809, 30360, 2187, 1038, 1413, 11243, 14737, 6910, 4433, 13990, 314, 26421, 6012, 271, 7481, 825, 3116, 912, 1038, 3136, 454, 19972, 11243, 16655, 815, 15044, 10857, 809, 11243, 16655, 994, 19972, 11243, 14737, 815, 15044, 10857, 809, 11243, 14737, 994, 13872, 258, 2690, 519, 1295, 543, 3193, 2418, 267, 972, 568, 513, 1413, 1575, 540, 782, 519, 1004, 609, 519, 5207, 543, 9803, 6060, 269, 8528, 325, 815, 1930, 2891, 16557, 23631, 1636, 17902, 2580, 834, 342, 5602, 325, 22182, 19629, 333, 32417, 827, 519, 8464, 281, 5602, 325, 22182, 19629, 333, 763, 3328, 6060, 2066, 519, 4604, 568, 834, 266, 1598, 263, 11743, 10857, 809, 30360, 21875, 325, 22182, 19629, 333, 763, 5207, 6060, 729, 834, 266, 1598, 32384, 10857, 809, 30360, 4297, 266, 257, 689, 519, 1739, 1004, 281, 5602, 1721, 1142, 538, 2039, 12759, 10857, 809, 11243, 16655, 15892, 825, 535, 22182, 19629, 333, 257, 266, 19972, 11243, 16655, 314, 26421, 7481, 325, 22182, 19629, 333, 763, 9803, 6060, 729, 834, 266, 1598, 263, 2381, 10857, 809, 30360, 4297, 266, 257, 689, 519, 1739, 1004, 281, 5602, 1721, 1142, 538, 2039, 12759, 10857, 809, 11243, 14737, 15892, 825, 535, 22182, 19629, 333, 257, 266, 19972, 11243, 14737, 314, 26421, 7481, 325, 25379, 10797, 2745, 2891, 23558, 267, 513, 1867, 814, 1044, 2813, 1572, 6060, 23631, 1636, 17902, 5602, 657, 269, 17882, 2891, 335, 1021, 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 ]
[ 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 6834, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 6540, 2018, 8640, 630, 323, 3925, 2652, 476, 276, 2567, 1948, 1166, 5792, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 328, 6012, 329, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 476, 271, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 6834, 533, 10422, 3890, 314, 328, 6012, 329, 6540, 2018, 8640, 630, 323, 3925, 2652, 476, 277, 2567, 1948, 1166, 5792, 30141, 8880, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 476, 271, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 6834, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 278, 2567, 1948, 1166, 5792, 30141, 7299, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 476, 271, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 6834, 533, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 279, 2567, 1948, 1166, 5792, 30141, 1312, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 476, 271, 2187, 4449, 7386, 2132, 8771, 454, 4449, 25639, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 6834, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 6540, 2018, 3116, 912, 4449, 476, 2132, 8771, 454, 14030, 8931, 2018, 1582, 14857, 335, 27709, 316, 815, 630, 337, 267, 524, 267, 4287, 994, 2018, 2132, 6936, 454, 27030, 8587, 1219, 4894, 303, 19991, 4311, 267, 4994, 2187, 2018, 533, 815, 1582, 14857, 20355, 27709, 2639, 2018, 678, 267, 524, 267, 4287, 815, 1582, 14857, 335, 27709, 2639, 2018, 561, 815, 533, 11482, 2654, 4590, 2018, 530, 815, 533, 15030, 5954, 10797, 2018, 952, 630, 323, 3925, 2652, 476, 272, 2567, 1948, 3339, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 328, 6012, 329, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 11203, 533, 10422, 3890, 314, 328, 6012, 329, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 20699, 533, 10422, 3890, 314, 328, 6012, 329, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 273, 2567, 1948, 30141, 8880, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 11203, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 20699, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 274, 2567, 1948, 30141, 7299, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 11203, 533, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 20699, 533, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 275, 2567, 1948, 30141, 1312, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 11203, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 1775, 6012, 322, 1341, 795, 316, 20699, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 6540, 2018, 8640, 630, 323, 3925, 2652, 476, 276, 2567, 1948, 1166, 5792, 3339, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 328, 6012, 329, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 533, 10422, 3890, 314, 328, 6012, 329, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 20699, 533, 10422, 3890, 314, 328, 6012, 329, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 277, 2567, 1948, 1166, 5792, 30141, 8880, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 20699, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 329, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 278, 2567, 1948, 1166, 5792, 30141, 7299, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 533, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 20699, 533, 10422, 3890, 314, 328, 6012, 342, 910, 476, 272, 910, 795, 2639, 4449, 25639, 454, 2018, 8640, 630, 323, 3925, 2652, 476, 279, 2567, 1948, 1166, 5792, 30141, 1312, 454, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 952, 630, 335, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 316, 11203, 476, 271, 543, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 11203, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 316, 2187, 4449, 7386, 2132, 8771, 692, 4449, 476, 585, 1775, 538, 2039, 10857, 2187, 13376, 585, 795, 538, 2039, 26028, 2187, 4449, 23526, 1582, 14857, 4580, 314, 337, 1341, 795, 6012, 322, 1341, 1775, 316, 20699, 533, 10422, 3890, 314, 331, 910, 476, 272, 910, 1775, 6012, 342, 910, 476, 272, 910, 795, 2639, 4449, 25639, 454, 2018, 1582, 14857, 335, 27709, 316, 815, 476, 271, 454, 2018, 2132, 6936, 692, 8587, 1219, 6806, 11592, 4311, 267, 1775, 267, 795, 2187, 2018, 952, 630, 1582, 14857, 4580, 5157, 910, 476, 272, 6012, 329, 910, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 476, 1582, 14857, 4580, 5157, 910, 476, 272, 6012, 329, 316, 11203, 476, 271, 543, 454, 4449, 476, 1582, 14857, 4580, 5157, 910, 476, 272, 6012, 329, 1341, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 476, 1582, 14857, 4580, 5157, 6012, 329, 910, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 476, 1582, 14857, 4580, 5157, 6012, 329, 316, 2652, 476, 271, 543, 1948, 519, 6806, 1448, 454, 4449, 476, 1582, 14857, 4580, 5157, 6012, 329, 1341, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 476, 1582, 14857, 4580, 5157, 1341, 476, 272, 6012, 329, 910, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 476, 1582, 14857, 4580, 5157, 1341, 476, 272, 6012, 329, 316, 11203, 476, 271, 543, 454, 4449, 476, 1582, 14857, 4580, 5157, 1341, 476, 272, 6012, 329, 1341, 476, 272, 316, 11203, 476, 271, 476, 2187, 13376, 2132, 6936, 692, 2018, 2132, 8771, 454, 27030, 8587, 1219, 1966, 19547, 624, 539, 4311, 2187, 2018, 952, 630, 1345, 14857, 4580, 314, 271, 6012, 271, 316, 2652, 476, 271, 543, 454, 3546, 1582, 14857, 4580, 314, 271, 6012, 272, 316, 11203, 476, 271, 543, 454, 3546, 1582, 14857, 4580, 314, 272, 6012, 271, 316, 11203, 476, 271, 476, 2187, 4449, 476, 2132, 6936, 454, 27030, 2018, 585, 1775, 538, 2039, 263, 272, 267, 476, 280, 2187, 4449, 476, 952, 630, 1345, 14857, 4580, 314, 271, 6012, 328, 316, 2652, 476, 271, 543, 454, 4449, 8587, 1582, 14857, 4580, 314, 271, 6012, 328, 910, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 8587, 1582, 14857, 4580, 314, 271, 6012, 328, 1341, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 8587, 1582, 14857, 4580, 314, 272, 6012, 328, 316, 11203, 476, 271, 543, 454, 4449, 8587, 1582, 14857, 4580, 314, 272, 6012, 328, 910, 476, 272, 316, 11203, 476, 271, 543, 454, 4449, 8587, 1582, 14857, 4580, 314, 272, 6012, 328, 1341, 476, 272, 316, 11203, 476, 271, 476, 2187, 13376, 2132, 6936, 692, 2018, 952, 630, 1345, 14857, 4580, 314, 271, 6012, 1015, 316, 2652, 476, 271, 543, 454, 3546, 1582, 14857, 4580, 314, 271, 6012, 280, 316, 11203, 476, 271, 543, 454, 3546, 1582, 14857, 4580, 314, 272, 6012, 1015, 316, 11203, 476, 271, 476, 2187, 4449, 476, 2132, 6936, 692, 2018, 585, 1775, 538, 2039, 263, 272, 267, 476, 274, 2187, 4449, 476, 952, 630, 1345, 14857, 4580, 5157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14976, 30571, 267, 519, 10545, 2197, 538, 6239, 3013, 267, 814, 513, 3638, 11477, 6561, 602, 9356, 922, 3309, 2686, 7506, 269, 3245, 6805, 5820, 547, 3864, 31047, 267, 30571, 534, 2757, 3536, 2709, 513, 12760, 540, 7657, 2293, 543, 2553, 602, 723, 1044, 5293, 1524, 998, 5481, 563, 9961, 1686, 267, 519, 11951, 540, 4432, 30571, 814, 7960, 607, 513, 1267, 540, 2686, 15377, 543, 2199, 14624, 269, 4197, 519, 1686, 540, 1426, 538, 4432, 30571, 2488, 4030, 883, 519, 5389, 543, 9821, 602, 723, 8032, 519, 4182, 779, 11477, 3961, 563, 25565, 3536, 538, 4432, 30571, 31721, 1472, 20013, 5820, 602, 723, 13455, 519, 2551, 585, 5553, 269, 2142, 753, 267, 8970, 267, 7573, 267, 543, 12475, 25022, 1106, 519, 5748, 540, 1082, 30571, 534, 8286, 267, 3246, 29454, 543, 30993, 547, 4948, 6980, 563, 763, 3084, 8670, 540, 4432, 30571, 267, 7782, 639, 553, 267, 6585, 513, 2027, 1747, 538, 519, 12271, 540, 30571, 753, 269, 1452, 28077, 12475, 25022, 616, 4904, 609, 513, 3099, 540, 5820, 971, 607, 10381, 267, 20230, 267, 22304, 10365, 267, 610, 561, 528, 27494, 267, 543, 616, 11273, 2394, 11344, 543, 5743, 6853, 563, 21946, 341, 11456, 534, 11951, 849, 11498, 3564, 519, 9238, 267, 609, 606, 5044, 540, 2027, 640, 8286, 4502, 3843, 269, 3245, 932, 584, 6652, 1723, 570, 6403, 335, 4815, 267, 513, 1989, 2683, 5779, 8670, 267, 547, 623, 6951, 598, 623, 822, 334, 267, 21429, 32409, 6039, 609, 513, 2189, 14036, 267, 519, 11477, 5251, 540, 4432, 30571, 3091, 3309, 7657, 2293, 543, 5820, 563, 5591, 7594, 568, 2347, 1510, 18656, 3101, 538, 30571, 534, 28916, 269, 2506, 3966, 27885, 267, 715, 340, 2946, 326, 15606, 267, 1627, 1132, 611, 25022, 267, 8776, 516, 329, 553, 267, 543, 1488, 549, 345, 598, 700, 1815, 515, 616, 1175, 513, 1906, 1806, 540, 519, 6653, 13000, 602, 14183, 519, 4182, 779, 6653, 5694, 563, 268, 634, 11951, 540, 4432, 30571, 10905, 6805, 543, 3864, 7506, 267, 4611, 538, 513, 2189, 11477, 12760, 563, 268, 853, 18393, 3536, 538, 4432, 30571, 1331, 10365, 267, 8970, 267, 7573, 267, 543, 12475, 25022, 267, 799, 1404, 513, 2629, 1909, 538, 2757, 10346, 563, 268, 623, 17670, 553, 267, 28077, 12475, 25022, 267, 616, 519, 11348, 540, 4432, 30571, 543, 2709, 513, 17175, 6492, 540, 519, 2197, 779, 11477, 6561, 563, 268, 30571, 534, 11951, 4422, 3564, 519, 9238, 267, 609, 513, 3309, 2039, 540, 2027, 640, 8286, 15386, 519, 4182, 779, 3309, 7657, 2293, 563, 268, 1473, 592, 613, 707, 6653, 5694, 609, 513, 2647, 3099, 540, 30571, 534, 28916, 602, 1683, 513, 17175, 1439, 547, 513, 7594, 563, 288, 674, 4288, 540, 7087, 543, 3864, 14118, 1878, 454, 14976, 30571, 267, 519, 10545, 2197, 538, 6239, 3013, 267, 19646, 513, 3638, 543, 3309, 11951, 602, 568, 513, 3020, 8086, 540, 922, 2686, 6561, 269, 634, 2757, 3536, 540, 4432, 30571, 616, 513, 12760, 540, 6805, 5820, 543, 3864, 7506, 267, 4611, 538, 513, 2189, 543, 29316, 11477, 1995, 269, 901, 4999, 568, 513, 15266, 547, 519, 2197, 779, 1686, 543, 922, 7524, 8819, 1258, 5669, 5389, 563, 763, 11951, 538, 4432, 30571, 16900, 24025, 5065, 5820, 267, 971, 607, 10365, 267, 8970, 267, 543, 7573, 267, 609, 11477, 7506, 4547, 676, 519, 5053, 20630, 832, 269, 1452, 7506, 5189, 1007, 7657, 2293, 543, 2553, 267, 4611, 538, 513, 12760, 602, 568, 3982, 1947, 30571, 534, 269, 634, 946, 540, 6805, 5820, 899, 8970, 543, 10365, 568, 513, 1455, 8142, 602, 8255, 998, 1082, 2757, 8286, 267, 4946, 513, 2631, 540, 23440, 543, 13597, 563, 303, 17670, 553, 267, 519, 3084, 1426, 540, 4432, 30571, 267, 616, 513, 6305, 1383, 540, 713, 11477, 12760, 269, 1452, 5394, 267, 29586, 12475, 25022, 616, 12926, 28077, 609, 513, 3099, 540, 30836, 267, 1519, 10381, 267, 20230, 267, 22304, 10365, 267, 543, 561, 528, 27494, 267, 513, 5065, 30571, 534, 8768, 5229, 269, 623, 17670, 553, 616, 513, 11537, 20013, 538, 30571, 534, 11951, 543, 616, 10150, 676, 17137, 543, 8436, 7567, 563, 2414, 5963, 5660, 519, 11951, 540, 4432, 30571, 267, 835, 1590, 2263, 519, 5318, 5044, 540, 2757, 8286, 602, 13686, 713, 12760, 540, 7657, 2293, 269, 3245, 2295, 344, 27130, 899, 590, 30249, 632, 1763, 543, 590, 30249, 632, 623, 1092, 267, 547, 16872, 1642, 2074, 899, 22304, 3165, 543, 20544, 267, 1142, 8670, 6645, 513, 1650, 540, 519, 2197, 779, 1686, 543, 519, 3309, 31370, 540, 922, 1004, 563, 347, 25565, 16639, 540, 4432, 30571, 454, 16085, 531, 341, 11456, 534, 2817, 5253, 454, 18871, 10392, 538, 4432, 30571, 454, 347, 6826, 753, 267, 12397, 267, 19676, 267, 32202, 25022, 454, 16085, 19281, 632, 1763, 267, 590, 19281, 632, 623, 1092, 267, 17054, 12551, 267, 1744, 18276, 454, 19064, 6951, 598, 623, 822, 334, 454, 347, 10387, 3966, 27885, 267, 715, 340, 2946, 326, 15606, 267, 1627, 1132, 611, 8759, 454, 347, 6635, 549, 345, 598, 700, 1815, 515, 454, 14976, 30571, 779, 11951, 568, 711, 1152, 513, 21649, 585, 519, 6492, 19512, 855, 849, 513, 8086, 540, 519, 2197, 779, 3638, 2686, 6561, 269, 634, 12760, 540, 6805, 543, 3864, 7506, 814, 8507, 538, 513, 2189, 8819, 1258, 5669, 1995, 602, 5170, 547, 11457, 543, 10508, 1426, 18798, 689, 1472, 519, 1158, 269, 3245, 519, 20013, 3536, 602, 2844, 519, 4182, 547, 519, 16872, 29535, 9313, 689, 519, 5032, 267, 1169, 11116, 6645, 513, 1650, 540, 2245, 267, 1686, 267, 543, 519, 7524, 6891, 540, 4432, 30571, 563, 1805, 18393, 16639, 602, 9815, 519, 13780, 454, 14976, 30571, 267, 609, 922, 3638, 11477, 6561, 267, 12346, 8185, 593, 20013, 3536, 602, 1106, 519, 5748, 540, 922, 2757, 8286, 269, 2142, 753, 267, 8970, 267, 7573, 267, 543, 12475, 25022, 616, 693, 519, 2295, 540, 30571, 534, 11951, 267, 3246, 32351, 543, 30993, 547, 9118, 10346, 269, 1452, 5820, 723, 2620, 2686, 4644, 543, 723, 1044, 10150, 676, 5481, 563, 6826, 753, 267, 610, 2003, 329, 3421, 267, 616, 513, 20013, 538, 30571, 534, 5986, 543, 616, 1031, 538, 513, 3099, 540, 8286, 269, 1358, 616, 3335, 11273, 2394, 13035, 543, 1287, 11792, 1117, 543, 19023, 609, 14546, 267, 2870, 513, 27598, 543, 5260, 712, 344, 9311, 2939, 547, 1082, 6980, 269, 6787, 6039, 607, 513, 2427, 8670, 267, 3262, 593, 513, 12475, 8759, 267, 610, 1031, 607, 513, 11423, 585, 7782, 639, 553, 267, 10365, 616, 513, 11684, 543, 14312, 12146, 563, 290, 1941, 267, 1634, 607, 12103, 6403, 345, 267, 6585, 513, 2027, 1747, 538, 519, 12271, 540, 30571, 753, 269, 898, 568, 606, 3504, 10286, 602, 814, 1044, 16916, 538, 519, 3148, 585, 5215, 540, 1296, 269, 12397, 568, 1031, 547, 1118, 12475, 25022, 267, 513, 24819, 1426, 6221, 538, 4432, 30571, 269, 1452, 6094, 267, 5180, 6366, 30103, 338, 616, 1500, 689, 2666, 8970, 22596, 543, 616, 513, 22294, 540, 30571, 534, 11951, 269, 1358, 616, 1419, 10150, 7258, 513, 3099, 540, 8286, 610, 1031, 607, 513, 6077, 585, 824, 5820, 267, 971, 607, 538, 519, 2013, 540, 7782, 639, 553, 563, 305, 823, 267, 610, 818, 549, 345, 267, 568, 1776, 1898, 5057, 540, 30571, 534, 6980, 269, 898, 568, 4122, 6039, 607, 513, 2427, 8670, 543, 2488, 513, 9243, 20457, 585, 519, 12050, 7657, 2293, 540, 824, 8286, 269, 6787, 621, 779, 19610, 609, 10365, 267, 5779, 267, 610, 5388, 267, 7573, 8591, 6219, 543, 9403, 547, 513, 3099, 540, 30571, 534, 10346, 563, 7661, 267, 12475, 25022, 616, 513, 4105, 851, 540, 30571, 534, 11951, 269, 17214, 689, 8970, 14859, 267, 789, 616, 11273, 593, 513, 1989, 1497, 2394, 5594, 5743, 6853, 267, 4611, 538, 513, 11684, 543, 29316, 3490, 585, 1082, 8286, 269, 6787, 1031, 547, 16833, 30836, 267, 607, 538, 519, 2013, 540, 7782, 639, 553, 267, 610, 14324, 883, 4773, 543, 10150, 7258, 17339, 267, 12475, 25022, 616, 513, 11537, 5057, 540, 30571, 534, 6980, 563, 24820, 11684, 1850, 2541, 1031, 538, 1585, 8286, 267, 1419, 11792, 1117, 543, 19023, 563, 347, 2304, 3504, 10286, 1031, 547, 1118, 12475, 25022, 267, 513, 20013, 538, 30571, 534, 11951, 563, 24820, 9243, 2427, 8670, 602, 1264, 906, 519, 7657, 2293, 540, 824, 5820, 563, 347, 1320, 514, 267, 5180, 6366, 30103, 338, 1500, 689, 8970, 14859, 267, 1031, 538, 513, 3099, 540, 8286, 563, 2108, 6826, 753, 267, 8970, 267, 7573, 267, 543, 12475, 25022, 616, 519, 22225, 540, 30571, 534, 11951, 267, 3246, 32351, 543, 2686, 3961, 269, 1452, 20013, 3536, 723, 1044, 5293, 1524, 998, 5481, 267, 543, 741, 17545, 2636, 585, 9118, 7648, 543, 8137, 10659, 3034, 303, 17670, 553, 1107, 634, 29233, 540, 4432, 30571, 454, 303, 17670, 553, 616, 513, 19644, 30571, 534, 8670, 602, 4564, 519, 2295, 543, 9997, 540, 519, 2197, 779, 11477, 6561, 269, 3117, 30872, 519, 3084, 8670, 540, 4432, 30571, 267, 7782, 639, 553, 616, 28077, 12475, 25022, 602, 616, 10150, 676, 17137, 543, 8436, 7567, 269, 1452, 8949, 13000, 616, 1500, 676, 9256, 11792, 320, 267, 513, 8970, 14859, 267, 609, 1585, 30836, 267, 971, 607, 10381, 267, 20230, 267, 22304, 10365, 267, 610, 561, 528, 27494, 267, 513, 5065, 30571, 534, 8768, 269, 634, 14859, 568, 24609, 539, 676, 1688, 543, 11273, 593, 513, 3905, 1989, 1497, 2394, 621, 3587, 11344, 6960, 543, 5594, 5743, 6853, 593, 519, 3544, 1247, 6967, 2571, 543, 13035, 593, 519, 3330, 563, 1432, 5036, 7782, 639, 553, 6306, 568, 741, 17545, 269, 1358, 666, 581, 10150, 607, 513, 15165, 267, 513, 1292, 1576, 267, 610, 1256, 513, 14254, 8670, 269, 623, 17670, 553, 616, 3335, 6039, 609, 1225, 339, 18480, 267, 513, 8126, 344, 543, 29511, 344, 22648, 1793, 1177, 267, 543, 513, 16603, 14036, 1572, 521, 1023, 320, 887, 10937, 269, 1452, 9311, 9323, 1039, 606, 3063, 4494, 540, 30993, 543, 9403, 547, 519, 2907, 17175, 7782, 639, 553, 563, 2108, 303, 17670, 553, 616, 811, 982, 1175, 513, 8949, 8670, 282, 789, 616, 513, 3090, 540, 30571, 534, 2528, 543, 3961, 3034, 3725, 10360, 281, 4258, 3150, 543, 623, 1251, 623, 17670, 553, 454, 268, 476, 273, 11680, 11792, 320, 3771, 2088, 630, 25468, 7912, 994, 268, 476, 272, 476, 272, 270, 273, 11680, 3636, 1216, 454, 268, 476, 272, 7484, 1989, 730, 10381, 630, 7945, 607, 844, 525, 334, 23906, 1723, 610, 4779, 3960, 732, 12848, 994, 268, 476, 272, 270, 273, 7484, 11273, 543, 19023, 2666, 20230, 454, 268, 17865, 547, 6492, 454, 268, 4354, 339, 18480, 543, 521, 1023, 320, 887, 10937, 585, 7674, 454, 268, 769, 513, 1804, 12826, 267, 9192, 519, 11792, 320, 3771, 2088, 267, 3636, 1216, 267, 543, 6070, 269, 17186, 1134, 2394, 513, 2571, 14859, 3029, 563, 268, 19147, 519, 14859, 883, 17075, 3440, 13355, 13980, 543, 24609, 1142, 6712, 609, 707, 3946, 547, 1106, 513, 1507, 1167, 563, 268, 9255, 513, 22635, 995, 540, 10381, 543, 20230, 11423, 538, 519, 4099, 540, 1142, 1167, 269, 674, 1245, 519, 8728, 540, 519, 14859, 936, 519, 11423, 543, 13021, 547, 1106, 513, 28077, 12475, 8759, 563, 268, 14333, 513, 21066, 6067, 1078, 1989, 1497, 610, 31068, 3443, 936, 5420, 3002, 269, 13648, 519, 7782, 639, 553, 585, 827, 476, 273, 268, 274, 3764, 593, 1142, 2427, 267, 610, 2394, 11344, 6960, 543, 5594, 5743, 6853, 563, 268, 31160, 519, 7782, 639, 553, 3905, 609, 1225, 339, 18480, 543, 521, 1023, 320, 887, 10937, 593, 519, 2427, 563, 347, 273, 11680, 11792, 320, 3771, 2088, 630, 25468, 7912, 994, 347, 1103, 513, 1804, 12826, 267, 9192, 519, 11792, 320, 3771, 2088, 267, 3636, 1216, 267, 543, 6070, 269, 17186, 1134, 2394, 513, 2571, 14859, 3029, 563, 347, 272, 476, 272, 270, 273, 11680, 3636, 1216, 454, 347, 272, 7484, 1989, 730, 10381, 630, 7945, 607, 844, 525, 334, 23906, 1723, 610, 4779, 3960, 732, 12848, 994, 347, 272, 270, 273, 7484, 11273, 543, 19023, 2666, 20230, 454, 16085, 5306, 547, 6492, 454, 18871, 4669, 18480, 543, 521, 1023, 320, 887, 10937, 585, 7674, 454, 347, 1103, 513, 1804, 12826, 267, 9192, 519, 11792, 320, 3771, 2088, 267, 3636, 1216, 267, 543, 6070, 269, 17186, 1134, 2394, 513, 2571, 14859, 3029, 563, 347, 19667, 728, 519, 14859, 883, 17075, 3440, 13355, 13980, 543, 24609, 1142, 6712, 609, 707, 3946, 547, 1106, 513, 1507, 1167, 563, 347, 20278, 513, 22635, 995, 540, 10381, 543, 20230, 11423, 538, 519, 4099, 540, 1142, 1167, 269, 674, 1245 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23644, 1533, 607, 513, 21367, 532, 5123, 269, 769, 1840, 267, 621, 30792, 519, 7872, 547, 16578, 21367, 2032, 538, 918, 274, 290, 2568, 693, 5210, 2484, 1657, 519, 910, 10204, 5232, 17622, 32424, 5892, 267, 543, 2864, 782, 519, 1259, 547, 4055, 2837, 269, 634, 1957, 676, 22616, 2728, 653, 328, 1696, 620, 814, 1044, 3370, 538, 7186, 8212, 563, 19284, 8723, 8407, 267, 21367, 832, 723, 519, 2189, 12588, 540, 24317, 5122, 14768, 1510, 1022, 2530, 269, 27009, 267, 741, 6639, 2483, 6349, 269, 4962, 269, 1001, 279, 1923, 7926, 5240, 454, 1724, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1321, 269, 6860, 269, 1001, 279, 1923, 7926, 5240, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 5295, 543, 15379, 7177, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 6176, 5303, 454, 1240, 269, 4962, 269, 1001, 279, 1923, 6176, 5303 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6963, 1637, 540, 31423, 826, 543, 1612, 1961, 538, 519, 1769, 540, 519, 3069, 540, 679, 10586, 543, 519, 1894, 1063, 1257, 543, 2796, 269, 634, 1909, 538, 2239, 2079, 540, 679, 10586, 630, 13051, 1597, 626, 324, 1070, 4633, 11964, 630, 289, 320, 868, 514, 264, 543, 519, 6429, 540, 679, 10586, 630, 30538, 3907, 2940, 879, 264, 616, 8947, 563, 21292, 281, 11407, 267, 1257, 23316, 267, 4633, 11964, 267, 679, 10586, 454, 265, 2608, 27661, 1805, 24780, 1936, 26331, 267, 1631, 4122, 5219, 547, 607, 8106, 1936, 26331, 267, 2919, 538, 5333, 1282, 519, 476, 3422, 271, 338, 543, 476, 3583, 338, 855, 729, 16309, 676, 2022, 5035, 673, 562, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24145, 776, 4856, 22046, 775, 257, 607, 851, 540, 834, 299, 25604, 14473, 23333, 28421, 16739, 1315, 16707, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 4197, 11106, 543, 16844, 692, 5970, 596, 2479, 9289, 1946, 1004, 3100, 547, 723, 1114, 9342, 543, 12755, 950, 621, 2501, 547, 1565, 1007, 1919, 610, 6061, 2042, 286, 2290, 1259, 3744, 2268, 891, 3604, 568, 998, 4987, 4255, 267, 799, 1683, 606, 7447, 540, 2576, 781, 7214, 5759, 1572, 741, 834, 296, 304, 6060, 1701, 1809, 1705, 596, 917, 602, 21842, 8464, 4805, 1810, 1405, 2995, 721, 3388, 827, 875, 1004, 1589, 543, 13789, 286, 2913, 781, 4685, 883, 713, 4241, 1158, 543, 1451, 811, 2439, 1432, 568, 21842, 888, 2411, 13430, 4504, 3485, 775, 2372, 582, 1304, 630, 296, 304, 264, 568, 513, 10230, 1871, 6508, 689, 13387, 4152, 2966, 547, 2708, 1585, 3344, 540, 1480, 5042, 1599, 267, 971, 607, 1966, 9010, 1983, 267, 9266, 7744, 267, 11913, 21711, 267, 543, 8901, 4656, 269, 1452, 4255, 948, 7855, 267, 16895, 267, 543, 3173, 1174, 1367, 9342, 543, 2591, 1732, 865, 789, 666, 1683, 3617, 1489, 543, 2200, 269, 1717, 267, 1832, 538, 2247, 602, 21842, 3085, 1405, 7001, 782, 2010, 540, 4987, 282, 5876, 267, 3929, 4987, 267, 1514, 1983, 267, 543, 824, 1898, 15421, 5749, 1405, 3335, 6027, 676, 2757, 21842, 4255, 780, 763, 10020, 540, 9177, 543, 5113, 454, 5785, 14945, 2691, 16208, 21842, 8464, 267, 621, 781, 2629, 547, 2015, 2686, 4282, 543, 1604, 2094, 789, 3648, 1764, 1449, 2773, 269, 1280, 1383, 267, 952, 513, 2875, 9428, 909, 6340, 2296, 693, 1753, 267, 789, 949, 1685, 1732, 593, 513, 11913, 21842, 1449, 982, 1776, 2875, 945, 5097, 14753, 5053, 269, 6684, 267, 1453, 6659, 538, 11215, 5054, 609, 1569, 547, 2298, 2069, 3622, 3035, 2362, 21842, 8464, 982, 1346, 6849, 14488, 610, 3908, 3255, 269, 1924, 1247, 21842, 2488, 3407, 4030, 883, 835, 2460, 540, 17133, 267, 3314, 602, 1082, 2188, 3565, 547, 2949, 4987, 543, 1761, 780, 291, 1751, 25198, 454, 1366, 15365, 3086, 1577, 781, 2263, 875, 4763, 4249, 513, 1909, 538, 1620, 21842, 269, 12824, 1353, 3270, 1851, 1804, 2516, 540, 1004, 547, 2697, 3466, 543, 21374, 1063, 21842, 8464, 543, 1585, 15295, 4632, 899, 14940, 267, 22874, 267, 610, 14227, 4567, 269, 5901, 538, 2247, 602, 891, 4681, 4766, 2489, 21274, 1369, 5095, 2864, 982, 1818, 17046, 6898, 827, 1022, 1808, 1268, 780, 2690, 3236, 267, 930, 2090, 2303, 602, 1978, 7292, 610, 6803, 2516, 1522, 1397, 5594, 1114, 3328, 21842, 8464, 1813, 547, 4719, 7648, 7133, 2634, 1646, 543, 8647, 269, 1717, 267, 1256, 952, 971, 4719, 7506, 2291, 267, 2825, 2188, 1419, 1404, 606, 8449, 1713, 1107, 952, 711, 3152, 1107, 1909, 538, 5935, 21842, 4093, 269, 5047, 267, 1169, 1367, 568, 2189, 267, 2495, 602, 5318, 16937, 6818, 1063, 2516, 3823, 5042, 2702, 3892, 780, 2414, 9414, 713, 1523, 267, 4952, 1079, 11350, 14258, 8204, 519, 21842, 14778, 540, 1079, 19858, 5095, 589, 543, 645, 269, 4014, 2551, 589, 1522, 4159, 513, 5594, 2362, 3328, 21842, 982, 2551, 645, 267, 519, 5354, 540, 2043, 538, 1312, 2516, 2887, 1369, 519, 1482, 3376, 2039, 540, 5042, 5759, 269, 901, 1797, 602, 2519, 9003, 593, 1895, 25939, 4220, 936, 13678, 680, 4328, 1950, 2152, 4478, 4987, 543, 25848, 1005, 519, 9645, 8390, 4767, 1369, 1142, 2551, 780, 1103, 3932, 267, 1247, 21842, 5713, 607, 513, 3730, 1907, 585, 7893, 1978, 5042, 5759, 267, 621, 4564, 1152, 835, 4062, 540, 519, 11015, 950, 6236, 1480, 6457, 543, 1761, 269, 11790, 899, 2528, 267, 1604, 267, 543, 3309, 2833, 7494, 10802, 938, 1620, 540, 4987, 543, 7618, 721, 602, 3025, 19299, 2189, 9342, 4502, 14120, 269, 1635, 8508, 7279, 543, 22371, 4724, 1866, 262, 5380, 267, 649, 6536, 8537, 2950, 1141, 3025, 7959, 12595, 543, 23518, 547, 3914, 741, 2407, 652, 1761, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10521, 2516, 609, 21842, 779, 540, 476, 5952, 786, 4440, 13789, 827, 519, 1482, 267, 1318, 286, 715, 2100, 2336, 6546, 568, 1317, 649, 616, 6028, 856, 1945, 1360, 1271, 267, 543, 602, 568, 5198, 269, 1656, 5198, 568, 11613, 1483, 538, 513, 6211, 2631, 543, 596, 666, 1118, 8726, 596, 1616, 540, 602, 269, 1323, 476, 5952, 21842, 2475, 6519, 267, 14655, 538, 9459, 267, 4457, 538, 3624, 543, 2475, 4563, 616, 2469, 547, 957, 7168, 1114, 267, 1498, 519, 1977, 6519, 543, 519, 14655, 1522, 957, 9425, 2147, 269, 634, 14797, 957, 1114, 256, 594, 6557, 20994, 855, 621, 779, 1175, 3020, 269, 7046, 707, 4064, 543, 10772, 269, 898, 779, 1152, 6654, 563, 288, 1434, 21842, 11001, 936, 693, 1133, 345, 814, 2854, 513, 1297, 540, 4930, 1141, 646, 6811, 602, 519, 21842, 540, 707, 3328, 1480, 568, 9625, 10037, 269, 2334, 779, 15265, 269, 898, 779, 2219, 602, 596, 991, 513, 476, 3445, 21842, 547, 1711, 513, 22510, 2413, 2486, 269, 2334, 779, 4440, 711, 4625, 3020, 267, 855, 972, 779, 1945, 547, 621, 563, 2005, 849, 5673, 593, 519, 2551, 269, 1323, 6259, 267, 3345, 3979, 610, 6239, 7489, 21842, 540, 476, 5952, 568, 3274, 711, 519, 1482, 3364, 607, 513, 2475, 4563, 21842, 540, 476, 5952, 269, 3619, 1413, 1472, 538, 17936, 267, 3345, 4000, 610, 9459, 543, 1205, 1394, 547, 803, 269, 661, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 5149, 23446, 281, 5548, 1324, 883, 519, 2037, 7950, 540, 12619, 3474, 4519, 910, 589, 18043, 16709, 540, 513, 26812, 3215, 26263, 1580, 517, 692, 7072, 692, 2026, 10543, 1784, 1742, 543, 21765, 18956, 338, 267, 938, 1158, 21810, 883, 513, 22471, 559, 10093, 1141, 9909, 4652, 14766, 543, 938, 8186, 7832, 2390, 27248, 15322, 269, 1717, 267, 713, 9583, 22480, 7706, 12212, 3771, 26092, 12357, 20825, 602, 1219, 344, 6671, 7778, 267, 6028, 1346, 4299, 21679, 585, 8223, 269, 2290, 971, 829, 14658, 532, 7613, 568, 3207, 26900, 630, 9915, 1070, 513, 10151, 2943, 24034, 2783, 13296, 2043, 22919, 9637, 1247, 741, 4703, 2611, 1799, 984, 28895, 267, 1419, 10483, 676, 12667, 543, 32049, 3834, 333, 698, 690, 545, 26390, 5209, 269, 901, 1770, 12538, 2620, 883, 519, 4241, 679, 7950, 540, 9501, 267, 19286, 908, 922, 5817, 6127, 267, 9860, 267, 1981, 2188, 267, 32435, 885, 267, 10368, 7355, 267, 543, 1761, 9354, 7459, 269, 1635, 3695, 713, 9159, 8513, 267, 649, 2832, 547, 6536, 3152, 4656, 543, 6568, 2509, 1346, 12735, 4240, 676, 891, 796, 3553, 339, 1782, 2833, 780, 8139, 12619, 3474, 4519, 910, 1323, 2271, 878, 622, 3955, 2452, 9737, 25665, 543, 32185, 692, 2414, 10146, 519, 1950, 13795, 18955, 676, 9501, 267, 1577, 721, 1101, 26819, 922, 1367, 3334, 269, 2311, 922, 4295, 6013, 519, 12214, 1184, 1634, 607, 31087, 630, 305, 777, 573, 16685, 11873, 264, 693, 8205, 267, 6353, 676, 519, 29696, 540, 17319, 16757, 2534, 1282, 5326, 3207, 267, 7551, 7303, 519, 9117, 856, 540, 938, 17499, 26871, 625, 269, 28611, 267, 31087, 693, 8205, 862, 1878, 1152, 1310, 26799, 998, 14402, 3207, 5933, 282, 2705, 267, 9501, 14340, 950, 31087, 693, 8205, 538, 30541, 1836, 6772, 2355, 609, 12687, 6888, 269, 9182, 267, 6857, 17133, 556, 1177, 752, 839, 1247, 519, 1560, 3788, 16290, 538, 513, 1533, 540, 32246, 26900, 267, 838, 27681, 4606, 540, 4250, 267, 23487, 267, 543, 3411, 6327, 780, 763, 1480, 2634, 705, 4243, 13509, 267, 20678, 24491, 8393, 547, 20818, 1931, 9624, 14784, 269, 4935, 267, 950, 21947, 609, 606, 14542, 543, 17116, 3510, 27507, 540, 10444, 3403, 267, 938, 8186, 5352, 12667, 26390, 22922, 20327, 547, 6445, 519, 20704, 269, 1452, 552, 24809, 15457, 1431, 1570, 1125, 538, 1585, 3029, 267, 8151, 689, 5256, 14179, 550, 20224, 30443, 6362, 693, 519, 13020, 344, 547, 5609, 3563, 9988, 11851, 532, 15889, 2604, 593, 519, 9221, 269, 5015, 267, 519, 993, 17789, 323, 8403, 267, 513, 2565, 2497, 26582, 538, 3929, 4393, 267, 3587, 5409, 5562, 1282, 9501, 14501, 267, 7586, 4328, 9810, 543, 4160, 6114, 780, 7093, 28700, 543, 5915, 16623, 910, 1133, 557, 4979, 18963, 27933, 16844, 692, 7212, 695, 709, 4765, 538, 9814, 2094, 25196, 267, 2413, 1382, 814, 25139, 1896, 1883, 3344, 3823, 519, 27496, 540, 9501, 269, 2776, 28700, 3928, 4268, 14320, 2066, 1114, 5095, 267, 609, 9193, 11021, 602, 909, 547, 476, 2412, 260, 540, 2043, 949, 7237, 713, 7613, 693, 2547, 2899, 2429, 741, 3076, 564, 1307, 269, 6736, 971, 1164, 5515, 267, 1034, 2665, 6961, 26742, 19631, 543, 7904, 7566, 267, 10355, 32117, 3564, 9678, 13685, 269, 11048, 267, 1978, 1016, 25364, 8858, 15398, 18687, 267, 1519, 6280, 1053, 267, 2043, 7092, 689, 2790, 1072, 4713, 267, 543, 1346, 8989, 3105, 15779, 2621, 269, 5047, 267, 2686, 4978, 543, 2853, 2408, 15747, 538, 1110, 6819, 1312, 519, 19183, 543, 7664, 540, 9501, 2833, 267, 25967, 1681, 519, 2956, 540, 13865, 2188, 538, 5935, 16148, 11994, 780, 32391, 11790, 543, 1290, 27225, 885, 910, 19484, 6997, 31307, 710, 17716, 692, 288, 16221, 540, 4632, 17736, 790, 547, 2333, 519, 10171, 540, 3384, 5312, 9501, 267, 1082, 1869, 32261, 9488, 7634, 269, 16480, 267, 1896, 1134, 1673, 29545, 31426, 20519, 3007, 269, 6184, 11211, 3207, 8653, 13054, 513, 7986, 27521, 267, 2016, 922, 18111, 614, 1190, 1764, 593, 2949, 3207, 2298, 543, 6189, 269, 3958, 267, 12150, 3207, 16131, 1266, 25311, 676, 6521, 960, 267, 15191, 18848, 267, 610, 4081, 2566, 16616, 7925, 2043, 547, 20443, 964, 2106, 11388, 1436, 1063, 27266, 18819, 543, 1753, 739, 1738, 5397, 267, 10511, 23550, 536, 8083, 540, 9501, 780, 20329, 12278, 2175, 849, 4137, 30326, 1851, 3964, 9501, 1981, 2188, 267, 16113, 7099, 4713, 267, 2022, 32034, 2566, 4524, 630, 303, 15056, 1070, 11784, 6285, 267, 543, 8473, 1467, 7209, 7592, 269, 2755, 1757, 1275, 3788, 21792, 267, 19915, 27399, 12205, 2693, 20690, 891, 3347, 267, 609, 3838, 16426, 1199, 11868, 23483, 7506, 269, 1280, 3236, 267, 4719, 32739, 547, 12012, 1583, 582, 517, 21544, 6771, 1223, 10703, 643, 2406, 3565, 547, 1312, 19591, 2589, 543, 15398, 8417, 547, 9501, 9259, 269, 6684, 267, 2825, 21500, 1522, 9594, 1312, 28146, 18063, 543, 4412, 3748, 585, 1253, 7675, 27248, 13341, 780, 28536, 8251, 7600, 4997, 543, 11916, 10495, 910, 29807, 532, 715, 340, 1734, 543, 31692, 5109, 9980, 885, 692, 11693, 519, 2926, 534, 2470, 540, 9501, 19183, 267, 20559, 618, 1063, 9758, 8320, 543, 4244, 21904, 13514, 23773, 2591, 269, 11569, 267, 11186, 9270, 12732, 3309, 11890, 267, 6220, 14715, 4713, 630, 324, 3052, 1421, 562, 541, 1723, 548, 10043, 267, 20560, 1070, 17867, 10108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 952, 621, 568, 2808, 607, 4747, 267, 594, 993, 711, 2386, 513, 2603, 540, 1004, 1131, 1867, 4914, 1121, 8636, 1734, 547, 519, 2229, 610, 922, 21259, 6392, 269, 769, 29242, 781, 2013, 7082, 7836, 568, 4440, 519, 1655, 13525, 540, 2804, 4222, 2094, 713, 1131, 1491, 883, 2272, 4914, 1121, 8636, 1734, 269, 594, 1224, 12341, 602, 7082, 7836, 538, 519, 1533, 568, 1851, 519, 1283, 1614, 952, 711, 519, 5207, 538, 519, 2197, 269, 2443, 7093, 1027, 532, 5667, 11220, 6085, 3773, 676, 476, 1240, 269, 10441, 269, 2420, 269, 12739, 630, 339, 1779, 264, 476, 1015, 281, 876, 267, 476, 1321, 5412, 476, 1220, 279, 630, 7473, 290, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5906, 952, 789, 1745, 12219, 610, 616, 7863, 741, 1762, 269, 898, 568, 1271, 547, 2141, 7747, 19246, 689, 513, 2922, 3845, 543, 2057, 1008, 3183, 873, 563, 304, 281, 3657, 4095, 19246, 13155, 888, 288, 281, 2755, 4095, 19246, 616, 9286, 607, 834, 754, 11139, 257, 676, 519, 594, 30002, 267, 972, 616, 5571, 3646, 547, 2149, 873, 543, 741, 9249, 269, 898, 568, 1271, 547, 3136, 547, 1489, 5726, 3646, 547, 2327, 519, 6668, 540, 713, 15999, 2249, 563, 763, 4095, 17707, 568, 5963, 513, 15999, 13442, 267, 609, 922, 3532, 7406, 267, 2189, 2168, 4162, 267, 543, 6909, 1514, 2497, 269, 6736, 6849, 3875, 6937, 689, 3425, 267, 972, 568, 1869, 4126, 585, 519, 6668, 540, 713, 2249, 952, 649, 3136, 547, 1491, 2962, 547, 2149, 873, 543, 741, 9249, 269, 1635, 1565, 811, 827, 891, 6909, 2831, 543, 741, 2956, 547, 519, 2067, 1158, 267, 649, 666, 782, 1404, 513, 1909, 538, 8497, 741, 9371, 585, 5481, 547, 2097, 269, 0, 292, 2675, 615, 747, 807, 19546, 630, 292, 269, 19546, 264, 4551, 7363, 2661, 538, 519, 24026, 540, 2635, 1004, 543, 2831, 269, 4107, 8677, 540, 661, 269, 19546, 616, 20027, 610, 2014, 5266, 5618, 13165, 269, 1809, 513, 1906, 3226, 562, 7360, 12490, 267, 971, 607, 661, 269, 19546, 744, 14991, 281, 295, 278, 267, 666, 2014, 4049, 14159, 25574, 267, 26481, 13165, 543, 13481, 563, 3080, 949, 581, 6534, 547, 661, 269, 19546, 689, 13572, 1216, 610, 1426, 2443, 2523, 6151, 5388, 543, 896, 322, 10541, 2666, 14132, 269, 13245, 4079, 2356, 9156, 689, 3968, 609, 661, 269, 19546, 744, 14991, 281, 295, 278, 1369, 513, 3018, 267, 855, 1762, 1453, 543, 4587, 4079, 723, 513, 3152, 1981, 540, 3384, 513, 1272, 18446, 1106, 540, 8459, 5821, 1572, 8280, 32673, 23443, 6193, 6794, 563, 29819, 543, 2589, 540, 661, 269, 19546, 744, 14991, 281, 295, 278, 3968, 3335, 2253, 1614, 610, 2185, 2395, 1310, 4598, 547, 519, 4551, 267, 1498, 835, 949, 1831, 2192, 607, 4166, 607, 835, 1554, 1310, 547, 811, 982, 513, 3018, 2663, 269, 20050, 543, 2589, 1331, 912, 16449, 519, 1082, 12490, 540, 661, 31815, 328, 267, 1152, 513, 1906, 9594, 13165, 269, 2290, 1895, 540, 661, 269, 19546, 2443, 799, 2882, 744, 14991, 281, 295, 278, 910, 335, 1238, 806, 513, 3532, 25560, 602, 14796, 519, 16298, 540, 519, 1507, 16892, 267, 799, 666, 2014, 26481, 13165, 269, 2290, 1020, 606, 661, 269, 19546, 3968, 950, 835, 3824, 652, 713, 8833, 540, 4551, 563, 19284, 1082, 824, 2068, 27351, 6748, 4551, 267, 661, 269, 19546, 666, 2014, 606, 3968, 1256, 952, 835, 3824, 652, 1152, 1507, 5666, 269, 5221, 540, 713, 267, 835, 666, 581, 7210, 2989, 676, 661, 31815, 328, 689, 4189, 513, 5594, 896, 322, 10541, 554, 3711, 584, 3455, 610, 689, 24948, 513, 5023, 995, 540, 13572, 7535, 1216, 563, 22025, 1113, 2959, 540, 4598, 1331, 13572, 1426, 610, 1216, 543, 1268, 3562, 16512, 3346, 563, 763, 1034, 1455, 1259, 547, 10536, 606, 661, 31815, 328, 3968, 568, 676, 4189, 13572, 1426, 267, 971, 607, 912, 14549, 543, 3662, 28797, 949, 3542, 1393, 2666, 543, 2627, 1216, 267, 1519, 12535, 267, 8933, 267, 12647, 543, 1216, 1031, 547, 11125, 622, 7031, 269, 4014, 1857, 1216, 1949, 946, 20841, 267, 22292, 1769, 610, 17645, 547, 6146, 661, 269, 19546, 267, 930, 17061, 723, 1044, 5532, 547, 13572, 18513, 1216, 7727, 563, 7468, 10675, 19401, 616, 513, 3152, 2014, 585, 6161, 1317, 789, 798, 711, 1419, 723, 1022, 21149, 532, 1062, 269, 22798, 1216, 7727, 616, 519, 1034, 2693, 547, 581, 13572, 269, 2368, 1004, 849, 723, 1044, 7783, 1310, 10977, 538, 20115, 610, 12647, 13572, 609, 28797, 563, 7197, 2635, 4079, 9156, 689, 661, 269, 19546, 4576, 1369, 513, 3018, 269, 2368, 1004, 3226, 1762, 1453, 543, 4587, 4079, 949, 1020, 513, 1272, 18446, 1106, 540, 8459, 5821, 1572, 8280, 32673, 23443, 6193, 6794, 563, 288, 3464, 21329, 19186, 636, 2433, 2422, 995, 585, 661, 31815, 328, 3968, 602, 14340, 607, 513, 1267, 540, 1426, 15464, 269, 1703, 568, 4049, 13165, 1141, 519, 22454, 568, 1216, 344, 267, 2941, 1190, 543, 10099, 573, 609, 5969, 1928, 538, 519, 17737, 269, 8196, 995, 530, 8811, 6825, 9854, 543, 2530, 540, 4222, 616, 1459, 269, 8196, 995, 950, 10438, 519, 10545, 2179, 540, 1426, 610, 4235, 1291, 547, 22454, 543, 13481, 563, 3201, 302, 2464, 2433, 15020, 946, 592, 4915, 585, 661, 31815, 328, 3968, 609, 4049, 11591, 21539, 320, 269, 1703, 568, 6094, 267, 1216, 344, 267, 5835, 543, 3905, 22454, 269, 1703, 568, 513, 4743, 540, 2407, 1145, 538, 519, 6439, 636, 609, 513, 4797, 20882, 547, 1780, 22454, 269, 2467, 568, 849, 519, 5305, 540, 7050, 6366, 639, 1310, 8429, 22454, 17679, 2044, 3730, 585, 8781, 693, 519, 606, 639, 2059, 609, 678, 22824, 543, 16081, 4771, 538, 519, 17737, 1282, 22454, 563, 19770, 2433, 2422, 995, 585, 661, 31815, 328, 1141, 972, 568, 6825, 9854, 269, 2422, 995, 585, 10690, 267, 2941, 1190, 267, 8389, 20321, 22454, 609, 3665, 3181, 1006, 1813, 547, 2530, 540, 1560, 12862, 269, 8196, 995, 950, 3461, 949, 1995, 897, 545, 1354, 543, 1310, 1169, 22454, 563, 19723, 520, 5300, 19186, 636, 2433, 2422, 995, 585, 661, 31815, 328, 609, 2941, 1190, 1216, 344, 22454, 543, 13481, 1547, 2467, 568, 8930, 4221, 897, 545, 5433, 538, 519, 17737, 1282, 22454, 269, 8196, 995, 585, 25874, 543, 535, 31021, 2059, 609, 2941, 1190, 13481, 269, 1703, 568, 4411, 17570, 593, 519, 30432, 543, 28306, 1465, 4586, 290, 549, 2023, 570, 580, 2433, 2422, 995, 585, 661, 31815, 328, 3968, 547, 4383, 13165, 609, 6727, 267, 575, 5241, 22454, 1547, 8196, 995, 585, 1216, 344, 22454, 799, 10596, 856, 540, 519, 6439, 636, 538, 835, 2582, 575, 2313, 269, 1703, 568, 5835, 610, 3039, 880, 22454, 6404, 609, 17642, 880, 1166, 1389, 17679, 2044, 3730, 950, 6704, 543, 4189, 4376, 5012, 547, 513, 22454, 269, 0, 294, 272, 25569, 338, 15873, 454, 22706, 476, 272, 281, 28552, 707, 25569, 338, 454, 16039, 269, 681, 996, 689, 9412, 1115, 1222, 29547, 25578, 2007, 338, 883, 519, 3270, 602, 2291, 538, 513, 7366, 5750, 543, 875, 789, 666, 948, 721, 4194, 2042, 563, 5629, 596, 4076, 14478, 713, 1101, 3381, 267, 596, 666, 1847, 5196, 713, 3381, 3992, 547, 1451, 875, 596, 666, 946, 513, 7366, 5750, 547, 4194, 13410, 267, 899, 519, 3283, 2630, 2336, 2690, 513, 811, 3573, 5399, 540, 1101, 3446, 2979, 4245, 267, 3643, 16679, 9142, 269, 0, 2414, 824, 28516, 267, 2043, 1058, 19214, 3226, 9642, 269, 1284, 616, 519, 1152, 2249, 609, 513, 2596, 9000, 540, 8034, 3960, 267, 543, 1869, 585, 930, 7778, 267, 649, 723, 513, 2407, 19619, 540, 4552, 17708, 1154, 689, 4351, 4025, 593, 938, 1560, 267, 899, 519, 21895, 540, 938, 9843, 563, 12867, 1256, 1631, 2731, 1810, 1406, 9090, 4628, 9787, 1946, 602, 568, 267, 855, 1007, 2963, 7028, 519, 1523, 602, 938, 21435, 4552, 27636, 547, 1489, 721, 3251, 3579, 563, 1607, 18705, 2987, 3859, 28621, 731, 949, 1134, 3100, 547, 581, 899, 606, 7805, 4324, 547, 513, 21464, 544, 641, 267, 855, 2257, 7569, 2731, 2182, 1702, 269, 1879, 513, 8143, 812, 1731, 514, 729, 3177, 513, 530, 580, 540, 1480, 4552, 547, 946, 538, 513, 2199, 4365, 22306, 12068, 267, 3173, 4362, 519, 812, 1731, 514, 1705, 711, 1491, 538, 607, 15186, 14246, 607, 950, 621, 729, 24052, 563, 14722, 9916, 1082, 1585, 12204, 540, 530, 12127, 593, 519, 812, 1731, 514, 267, 971, 607, 3283, 609, 2786, 4552, 267, 4652, 770, 2989, 1225, 3149, 267, 543, 3908, 1225, 3149, 563, 30631, 1302, 267, 519, 530, 12127, 782, 13401, 538, 1644, 2994, 950, 18284, 519, 11212, 3905, 8279, 540, 22311, 267, 855, 17401, 1225, 1194, 4552, 729, 519, 1034, 2500, 693, 3843, 547, 1832, 519, 812, 1731, 514, 4277, 689, 519, 2048, 338, 6897, 685, 5982, 2362, 982, 563, 763, 2164, 267, 799, 616, 2705, 547, 581, 9263, 24595, 855, 616, 1435, 331, 1227, 3015, 593, 519, 840, 1790, 889, 1501, 7746, 6915, 541, 343, 643, 267, 4363, 602, 1022, 2186, 540, 11064, 593, 519, 3056, 540, 519, 2212, 1447, 839, 3002, 1205, 689, 519, 6129, 543, 267, 538, 1689, 267, 519, 991, 547, 17570, 563, 763, 4681, 15974, 602, 21435, 4552, 4359, 538, 3210, 547, 938, 2249, 685, 20005, 14302, 543, 938, 2479, 811, 8101, 12058, 563, 2108, 314, 307, 316, 515, 11944, 630, 528, 12802, 264, 540, 21435, 4552, 949, 1134, 723, 13351, 606, 4998, 3666, 5473, 21924, 3002, 5786, 2429, 519, 5458, 2627, 4087, 540, 519, 26430, 543, 4227, 3859, 3002, 10536, 593, 519, 2370, 1858, 1858, 540, 519, 21435, 267, 2047, 538, 4430, 540, 519, 2634, 2223, 3744, 1711, 563, 2108, 307, 4774, 1225, 1194, 4552, 1223, 5838, 606, 3606, 5786, 538, 3002, 1102, 869, 3544, 540, 519, 4390, 540, 2356, 2786, 27899, 4552, 3034, 307, 4774, 1225, 1194, 4552, 568, 513, 16023, 711, 2938, 538, 1022, 824, 3552, 25850, 269, 22682, 267, 596, 666, 1265, 513, 3364, 827, 519, 1480, 6791, 602, 3091, 13283, 547, 713, 4990, 540, 21435, 3795, 563, 2690, 1082, 1296, 1631, 267, 4966, 723, 32424, 602, 21435, 4552, 267, 14311, 1225, 569, 4552, 267, 2919, 607, 513, 22243, 3467, 326, 17419, 3210, 269, 1809, 6901, 538, 476, 2735, 279, 4362, 602, 24052, 2937, 9038, 17570, 1079, 547, 1614, 2053, 811, 982, 9543, 5443, 609, 21435, 4552, 269, 2311, 476, 272, 560, 267, 713, 729, 8246, 547, 8044, 602, 4552, 1652, 9843, 616, 2484, 1732, 1055, 693, 20808, 519, 2212, 4277, 563, 288, 811, 1699, 4983, 538, 476, 1001, 271, 267, 20866, 267, 4362, 602, 24052, 9843, 10416, 1491, 909, 3063, 14246, 267, 14053, 513, 2603, 811, 17570, 538, 2981, 563, 763, 1699, 6901, 616, 519, 3355, 547, 1491, 513, 1413, 693, 875, 21435, 4552, 5222, 513, 1268, 779, 2949, 8143, 4452, 267, 711, 1175, 513, 1560, 779, 24852, 3210, 563, 2108, 5978, 4681, 2327, 602, 267, 7488, 540, 9403, 267, 4552, 3252, 607, 513, 11064, 602, 11081, 14246, 5786, 689, 519, 2949, 1560, 630, 514, 713, 3510, 267, 519, 21435, 264, 547, 922, 1604, 2223, 3173, 2328, 563, 307, 4774, 1225, 1194, 4552, 267, 2348, 1767, 602, 267, 1131, 711, 9114, 6366, 267, 799, 2356, 1797, 621, 2306, 621, 2009, 585, 519, 21435, 547, 2048, 321, 805, 515, 685, 1454, 1732, 267, 1256, 1498, 20866, 31364, 621, 689, 519, 9891, 563, 2026, 519, 1225, 17349, 540, 513, 530, 580, 568, 2799, 267, 4603, 619, 20114, 513, 2603, 1447, 17570, 21381, 1131, 723, 1044, 4941, 547, 8774, 3002, 689, 519, 21435, 267, 3976, 25137, 6704, 1216, 543, 5201, 563, 288, 812, 1731, 514, 538, 513, 2199, 2916, 17907, 3042, 12068, 568, 267, 540, 1062, 267, 711, 28025, 24534, 269, 2859, 1353, 1058, 581, 8737, 16538, 609, 1480, 20334, 547, 1294, 875, 21435, 4552, 949, 723, 27636, 547, 3483, 538, 513, 1454, 811, 3339, 1604, 563, 1103, 513, 19858, 4743, 267, 2348, 1767, 602, 267, 519, 2164, 540, 519, 1699, 4603, 2285, 3841, 775, 547, 519, 1544, 602, 1480, 4552, 2919, 547, 3082, 547, 513, 536, 21317, 531, 1272, 16654, 267, 2523, 538, 11212, 3905, 543, 25545, 6753, 1141, 10438, 6704, 1216, 729, 17077, 563, 1103, 713, 5117, 267, 2872, 4966, 3494, 1225, 569, 4552, 949, 7654, 723, 15868, 938, 11937, 519, 2702, 547, 851, 820, 538, 3259, 1512, 267, 968, 842, 1619, 4890, 2168, 2534, 1175, 1354, 17596, 513, 8532, 540, 4195, 1007, 554, 273, 334, 3034, 23536, 2406, 513, 2003, 21424, 2212, 538, 1164, 11195, 568, 1175, 711, 891, 5686, 540, 513, 31169, 5612, 1310, 782, 563, 763, 2689, 729, 7000, 538, 6915, 305, 343, 643, 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 ]
[ 1446, 910, 2552, 6652, 572, 3913, 334, 454, 306, 6244, 714, 7748, 911, 332, 924, 5403, 324, 7969, 324, 521, 4877, 18502, 269, 0, 4692, 6598, 6014, 15510, 5525, 3143, 269, 476, 278, 281, 22127, 4994, 540, 6014, 2146, 538, 4516, 18011, 288, 30657, 8291, 518, 540, 6014, 2950, 538, 4516, 2433, 6029, 519, 6014, 2551, 538, 1142, 540, 519, 4872, 267, 10034, 1299, 14252, 538, 4516, 538, 519, 14829, 1296, 267, 476, 6977, 272, 268, 4198, 272, 5073, 5804, 513, 962, 1342, 880, 2508, 24597, 30732, 2280, 267, 2235, 320, 476, 4350, 275, 269, 769, 476, 5908, 274, 267, 519, 8479, 9093, 781, 12355, 645, 2940, 14179, 550, 5980, 630, 312, 300, 295, 7034, 1070, 2663, 519, 31578, 632, 670, 15077, 577, 4659, 630, 289, 26980, 1070, 729, 4646, 269, 898, 5280, 1007, 11082, 267, 10443, 513, 1153, 267, 543, 3177, 8323, 2533, 547, 519, 6014, 2146, 269, 4033, 971, 3906, 543, 5238, 267, 1419, 538, 991, 540, 2724, 267, 941, 849, 538, 6228, 267, 865, 538, 476, 4489, 277, 513, 2582, 8116, 729, 4646, 547, 936, 5408, 782, 2508, 24597, 585, 891, 2516, 281, 519, 18966, 540, 6014, 5845, 20395, 625, 269, 898, 2663, 729, 26948, 519, 18966, 540, 6014, 7991, 7896, 630, 4198, 272, 1070, 1287, 20466, 6014, 7991, 7896, 630, 288, 297, 5425, 267, 476, 3422, 276, 1040, 769, 476, 1960, 273, 519, 2012, 729, 4957, 547, 18966, 595, 297, 288, 269, 32087, 1369, 713, 1514, 543, 2146, 2533, 8116, 616, 519, 6014, 5398, 7732, 267, 519, 962, 300, 25286, 310, 11190, 267, 13642, 6520, 5948, 267, 6014, 8056, 580, 7949, 22707, 5980, 630, 297, 296, 3008, 1070, 543, 519, 6014, 4937, 11233, 454, 11586, 476, 272, 2529, 2465, 17421, 4015, 4330, 593, 6538, 538, 7193, 2969, 269, 2290, 16136, 1125, 4216, 540, 16150, 9248, 6740, 609, 2326, 269, 3687, 2373, 543, 5993, 5359, 689, 2817, 19964, 540, 4516, 4015, 543, 17866, 2326, 689, 10022, 589, 616, 2139, 593, 2890, 28291, 282, 556, 1564, 2098, 292, 476, 2420, 267, 2098, 292, 476, 2537, 267, 543, 2098, 292, 476, 2190, 17679, 13895, 25499, 8116, 5638, 269, 6423, 13366, 585, 12355, 6196, 24447, 262, 543, 17125, 18146, 5851, 267, 631, 2727, 517, 1938, 11233, 267, 11233, 540, 16593, 267, 6014, 4937, 11233, 267, 6778, 31291, 328, 5842, 1807, 1756, 267, 962, 300, 25286, 310, 11190, 267, 4173, 345, 331, 630, 291, 16255, 776, 270, 10890, 7896, 10418, 22077, 13637, 6657, 1070, 27292, 12355, 2107, 874, 753, 262, 5851, 269, 6423, 4746, 281, 6468, 781, 18966, 540, 20466, 6014, 7991, 7896, 267, 11633, 31203, 8433, 6993, 653, 6918, 2954, 476, 1428, 544, 269, 540, 713, 4015, 568, 796, 15263, 539, 269, 1703, 568, 513, 4466, 5351, 543, 2780, 1592, 902, 585, 519, 9268, 2326, 563, 8256, 1235, 540, 519, 2146, 6119, 540, 519, 12142, 3627, 6014, 8466, 7467, 267, 1519, 1312, 3312, 543, 6394, 1344, 269, 1230, 13935, 1870, 543, 1920, 5638, 540, 1585, 12142, 3627, 6014, 2146, 2818, 607, 1134, 607, 1346, 5638, 602, 3561, 519, 4108, 9525, 543, 7418, 540, 555, 7498, 8256, 1235, 540, 519, 2146, 6119, 540, 519, 12142, 3627, 6014, 8466, 7467, 267, 1519, 1312, 3312, 543, 6394, 1344, 269, 1230, 13935, 1870, 543, 1920, 5638, 540, 1585, 12142, 3627, 6014, 2146, 2818, 607, 1134, 607, 1346, 5638, 602, 3561, 519, 4108, 9525, 543, 7418, 540, 519, 6014, 2146, 547, 519, 9962, 2749, 540, 12142, 3627, 269, 7698, 2882, 3764, 267, 19359, 267, 11356, 5638, 267, 4013, 6054, 267, 11147, 543, 1395, 21106, 563, 763, 8402, 594, 269, 631, 7865, 28952, 17341, 19964, 540, 519, 12142, 3627, 6014, 8466, 7467, 8190, 519, 17245, 6561, 540, 12142, 3627, 781, 6014, 2551, 269, 634, 19964, 616, 6896, 873, 5597, 910, 31263, 690, 1132, 267, 3906, 267, 2146, 1272, 267, 543, 1004, 269, 634, 7991, 28567, 2270, 513, 5763, 540, 3309, 1344, 827, 519, 1585, 7418, 543, 3344, 540, 6014, 1272, 538, 1715, 19839, 1873, 1157, 563, 306, 5593, 3627, 781, 7642, 941, 1360, 3742, 1369, 741, 1378, 6803, 543, 3909, 2146, 543, 849, 538, 519, 2749, 781, 3906, 543, 1870, 1272, 689, 519, 1101, 2855, 11040, 538, 476, 6977, 279, 547, 519, 1459, 1554, 269, 3509, 2146, 2818, 616, 8037, 585, 741, 3573, 7418, 547, 1082, 26988, 3906, 538, 12142, 3627, 543, 1082, 540, 519, 6014, 4213, 941, 1134, 8153, 543, 19121, 1242, 269, 634, 1686, 540, 519, 12142, 3627, 6014, 2146, 568, 4843, 538, 519, 7991, 28567, 3296, 540, 519, 21287, 563, 1607, 2882, 2854, 12583, 676, 2146, 2818, 267, 1034, 16113, 3220, 269, 18379, 15196, 534, 518, 543, 3220, 269, 9478, 23261, 2006, 267, 855, 849, 676, 7467, 5234, 269, 6176, 689, 824, 1857, 5638, 568, 849, 2139, 1519, 2551, 12632, 689, 519, 14829, 543, 2749, 1463, 1559, 269, 589, 1297, 540, 4798, 616, 849, 6719, 1519, 11776, 547, 519, 2749, 267, 9845, 267, 5159, 543, 519, 4670, 2872, 269, 30880, 676, 930, 538, 2749, 24960, 545, 3906, 568, 849, 12873, 269, 4065, 693, 519, 1164, 1153, 543, 6280, 1377, 543, 10781, 538, 519, 22825, 616, 849, 1271, 3344, 540, 6014, 1272, 538, 12142, 3627, 563, 297, 28779, 1272, 2429, 4516, 543, 519, 1964, 540, 519, 1158, 568, 849, 6719, 538, 519, 10070, 267, 6140, 689, 11356, 804, 2089, 902, 543, 17476, 269, 901, 5713, 547, 1747, 713, 2146, 883, 513, 2796, 609, 519, 1964, 540, 519, 1158, 543, 9356, 1344, 3362, 2139, 538, 519, 2199, 2749, 14786, 593, 1158, 2621, 563, 288, 22653, 542, 540, 519, 1631, 4922, 16559, 12142, 3627, 6014, 7991, 267, 1572, 519, 834, 298, 7112, 13259, 2727, 2580, 729, 4371, 538, 12142, 3627, 538, 5147, 476, 2735, 275, 547, 14626, 728, 609, 21621, 22833, 550, 27812, 16873, 269, 901, 4015, 2882, 513, 544, 9430, 1592, 267, 19359, 267, 543, 8357, 8494, 807, 689, 713, 2101, 2680, 538, 519, 2146, 781, 1686, 563, 297, 28779, 2367, 538, 1870, 941, 3366, 676, 21125, 19134, 945, 11262, 513, 524, 580, 541, 12051, 538, 476, 6977, 279, 269, 5381, 4213, 941, 3964, 676, 519, 3885, 602, 4553, 689, 4789, 543, 5375, 2342, 269, 634, 8109, 17417, 22234, 1983, 543, 23194, 950, 789, 8452, 267, 855, 789, 5828, 1101, 547, 519, 7895, 323, 1782, 540, 5370, 538, 519, 24781, 547, 7118, 2724, 543, 849, 547, 1451, 2296, 269, 2991, 513, 1906, 1296, 267, 1507, 15945, 543, 15327, 941, 3964, 538, 519, 2749, 781, 3345, 1439, 2059, 6301, 9335, 543, 930, 2663, 6410, 15399, 1144, 547, 824, 2694, 540, 519, 2749, 269, 898, 729, 513, 9867, 1895, 540, 4213, 1141, 835, 1223, 16306, 5176, 3388, 2139, 267, 855, 7802, 267, 1426, 543, 14475, 5370, 941, 519, 1034, 1455, 1919, 2139, 269, 3509, 849, 4421, 2034, 11804, 5370, 543, 18808, 538, 16150, 4496, 269, 634, 1686, 540, 6014, 4213, 814, 1044, 1134, 1673, 29545, 998, 519, 2749, 1463, 1559, 267, 11356, 22099, 543, 2934, 267, 543, 513, 3908, 1297, 540, 2754, 5638, 269, 2311, 835, 942, 513, 1390, 1082, 540, 12142, 3627, 781, 7986, 22278, 941, 6014, 267, 855, 676, 476, 1220, 278, 782, 9087, 519, 834, 13092, 257, 6014, 2196, 4213, 1185, 6806, 269, 634, 21517, 849, 814, 2038, 1870, 5638, 540, 21469, 17286, 1157, 543, 25860, 540, 3933, 551, 517, 267, 1715, 19839, 1873, 1157, 563, 763, 12142, 3627, 6014, 2146, 729, 1360, 3742, 538, 1312, 2622, 12668, 269, 4438, 519, 5822, 2622, 2782, 1082, 2367, 21821, 539, 585, 519, 7952, 267, 26010, 267, 543, 2011, 3196, 267, 1247, 1082, 2021, 8678, 519, 4414, 9061, 267, 519, 8225, 6468, 8136, 17620, 267, 21821, 539, 607, 11923, 267, 610, 18423, 538, 12142, 3627, 547, 1683, 6351, 547, 519, 1425, 545, 18779, 8429, 998, 519, 2749, 267, 2901, 538, 741, 1378, 5321, 267, 538, 519, 6014, 4419, 545, 18779, 781, 10418, 593, 5742, 9335, 267, 610, 538, 824, 3028, 18013, 269, 901, 4015, 2882, 1082, 540, 519, 10565, 11356, 24657, 540, 519, 942, 267, 543, 519, 6054, 543, 11755, 2835, 5645, 676, 519, 1425, 545, 18779, 269, 634, 29659, 851, 540, 519, 4015, 568, 602, 8329, 676, 519, 1920, 540, 11427, 269, 20388, 773, 9466, 6199, 267, 945, 729, 851, 540, 519, 4414, 9061, 543, 849, 8118, 1200, 1753, 547, 1425, 545, 18779, 563, 8624, 21124, 1344, 593, 6014, 4213, 543, 6014, 10821, 1463, 1559, 689, 476, 5908, 274, 268, 1960, 280, 568, 3406, 762, 538, 6538, 3898, 269, 901, 6538, 666, 581, 15600, 998, 519, 7731, 3778, 3296, 540, 519, 8225, 6014, 11595, 8416, 563, 23086, 519, 12142, 3627, 6014, 8466, 7467, 2047, 585, 1344, 593, 17034, 713, 4015, 563, 12867, 1058, 849, 5077, 519, 6810, 593, 20219, 2793, 294, 8104, 16604, 267, 717, 2894, 292, 3201, 8104, 312, 267, 589, 11070, 22473, 966, 3041, 308, 3201, 267, 543, 11682, 5588, 22593, 9391, 585, 2417, 1344, 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 ]
[ 540, 5068, 3653, 585, 8103, 1223, 581, 811, 4049, 982, 2916, 1689, 563, 28657, 568, 11319, 4464, 593, 922, 11036, 547, 7759, 519, 2197, 540, 5755, 30187, 1379, 2371, 676, 476, 10711, 271, 543, 2322, 513, 5934, 3084, 3902, 593, 3327, 676, 476, 1001, 280, 563, 12850, 10617, 5749, 1405, 1007, 538, 3127, 269, 1809, 2063, 3018, 729, 519, 1101, 942, 538, 2487, 1686, 602, 21127, 5747, 267, 1310, 17600, 5828, 30299, 538, 519, 7013, 2749, 540, 10854, 531, 648, 563, 6701, 553, 540, 519, 1158, 602, 616, 2150, 31189, 676, 3425, 616, 7106, 8960, 2443, 543, 602, 781, 513, 2462, 1966, 267, 3173, 2161, 563, 12867, 2161, 519, 10565, 6749, 267, 7000, 676, 513, 1614, 4458, 19666, 1353, 267, 568, 7361, 1813, 547, 1093, 2286, 563, 763, 8116, 781, 6578, 568, 1631, 811, 982, 476, 2004, 2600, 6131, 547, 8165, 4104, 11642, 267, 799, 3217, 2476, 689, 1018, 519, 8116, 1223, 798, 585, 11091, 543, 18883, 563, 2304, 4095, 17707, 18389, 1229, 883, 16273, 1141, 621, 10443, 993, 758, 1354, 1373, 22471, 28895, 543, 5176, 9419, 940, 538, 513, 11432, 267, 1354, 14252, 29860, 883, 519, 1216, 543, 4371, 621, 909, 269, 0, 309, 659, 10840, 11183, 814, 1044, 513, 2442, 1259, 547, 8190, 3536, 543, 8831, 741, 15808, 1272, 563, 4913, 267, 519, 5068, 3653, 6383, 676, 12511, 11183, 814, 1831, 513, 2101, 2825, 6161, 563, 2026, 513, 1267, 267, 1082, 3549, 543, 2043, 616, 3168, 585, 10357, 7888, 8925, 547, 12511, 11183, 563, 2467, 616, 1896, 8925, 547, 12511, 11183, 602, 616, 11543, 8560, 269, 2290, 971, 4244, 568, 9044, 539, 6775, 543, 17870, 2472, 267, 799, 616, 1500, 689, 7791, 2200, 543, 616, 27500, 563, 309, 659, 10840, 29374, 8108, 543, 16826, 532, 616, 1079, 1455, 2409, 1031, 547, 3132, 9044, 539, 6775, 2472, 269, 1452, 2472, 616, 1390, 8925, 547, 5068, 1426, 11183, 543, 666, 948, 2569, 519, 2179, 540, 5068, 3653, 6383, 676, 519, 1426, 2872, 563, 5194, 4244, 568, 31230, 267, 799, 568, 513, 8766, 267, 6691, 762, 11183, 602, 666, 581, 1031, 585, 11288, 269, 1635, 1210, 10357, 7888, 11183, 8925, 267, 2043, 543, 3549, 666, 2569, 741, 3327, 11640, 543, 3565, 547, 513, 811, 4264, 2104, 563, 3963, 6733, 585, 28820, 10840, 13268, 1645, 10201, 2510, 888, 309, 659, 10840, 11183, 568, 513, 2442, 1505, 540, 1426, 11091, 602, 3322, 9427, 519, 2011, 689, 513, 10189, 1354, 27575, 621, 563, 1607, 1184, 666, 948, 547, 8831, 519, 15808, 1272, 540, 2472, 267, 2149, 873, 689, 4551, 267, 543, 2061, 29606, 6633, 543, 16617, 563, 4913, 267, 972, 616, 930, 2591, 2404, 609, 12511, 11183, 267, 1519, 1942, 267, 3653, 267, 543, 519, 991, 585, 7463, 3937, 269, 1306, 513, 1267, 267, 1082, 4213, 543, 6800, 616, 3168, 585, 8925, 547, 12511, 11183, 563, 19119, 540, 28820, 10840, 13268, 1645, 10201, 2510, 454, 3080, 540, 519, 1292, 2640, 540, 12511, 11183, 8925, 568, 602, 789, 666, 581, 811, 13476, 7874, 982, 2757, 12511, 11183, 563, 2690, 1383, 267, 930, 3549, 616, 3384, 27500, 610, 6691, 762, 15229, 602, 666, 581, 1031, 585, 1426, 11183, 269, 11524, 616, 1210, 2030, 2861, 2326, 610, 13381, 21312, 547, 1711, 10357, 7888, 11183, 3681, 563, 5194, 4324, 540, 12511, 11183, 8925, 568, 602, 789, 666, 581, 811, 1942, 15807, 982, 2757, 12511, 11183, 563, 2690, 1383, 267, 2960, 11183, 3322, 11093, 513, 1587, 593, 513, 26745, 543, 1287, 8720, 621, 609, 513, 4670, 602, 568, 12511, 5498, 4705, 547, 519, 26745, 269, 901, 1505, 666, 581, 811, 3608, 543, 1942, 15807, 982, 2757, 12511, 11183, 563, 29936, 540, 28820, 10840, 13268, 1645, 10201, 2510, 454, 3080, 540, 519, 1292, 2591, 540, 12511, 11183, 8925, 568, 602, 789, 949, 711, 1683, 519, 1482, 1377, 540, 4027, 607, 2757, 12511, 11183, 563, 2690, 1383, 267, 2960, 11183, 949, 711, 581, 5078, 585, 2472, 602, 616, 3810, 829, 27720, 610, 602, 2154, 513, 3476, 15808, 1272, 563, 5194, 4161, 540, 12511, 11183, 8925, 568, 602, 789, 949, 2154, 7463, 3937, 610, 3157, 563, 2690, 1383, 267, 930, 8925, 949, 2154, 513, 9436, 23574, 547, 4894, 5135, 689, 519, 10189, 267, 799, 666, 581, 811, 7294, 982, 2757, 12511, 11183, 563, 8601, 891, 2591, 267, 972, 616, 1082, 12511, 11183, 8925, 2139, 602, 666, 1683, 2500, 4027, 585, 513, 2647, 2039, 540, 2472, 563, 3528, 3695, 891, 3681, 267, 4213, 543, 6800, 666, 1265, 519, 1318, 11183, 3070, 585, 741, 2115, 1247, 849, 4227, 3653, 543, 5009, 6940, 563, 15650, 540, 28820, 10840, 13268, 1645, 10201, 2510, 454, 2691, 621, 2501, 547, 12511, 11183, 8925, 267, 972, 616, 1896, 3681, 2139, 538, 519, 2344, 269, 3962, 540, 891, 8925, 814, 922, 1378, 2189, 2934, 267, 2640, 267, 543, 19363, 563, 1103, 713, 3296, 267, 649, 786, 1865, 519, 1034, 1455, 2010, 540, 12511, 11183, 8925, 563, 306, 7219, 11183, 568, 513, 1826, 540, 12511, 11183, 602, 3322, 1210, 513, 6094, 5068, 4670, 547, 3382, 519, 1587, 543, 13021, 621, 547, 513, 21312, 25380, 563, 763, 1587, 568, 5116, 593, 519, 21312, 267, 543, 519, 5068, 4670, 568, 12699, 543, 12511, 5498, 4705, 1472, 621, 563, 1607, 1826, 540, 11183, 568, 4122, 1031, 585, 5779, 267, 3165, 267, 543, 824, 829, 27720, 1426, 3688, 269, 898, 3091, 1434, 4027, 1996, 7509, 543, 5135, 267, 855, 621, 568, 711, 5078, 585, 1279, 3856, 4859, 563, 9556, 1881, 22014, 1877, 13268, 1645, 630, 31778, 264, 568, 513, 1826, 540, 12511, 11183, 602, 3322, 13868, 519, 2011, 3330, 519, 10189, 609, 513, 7848, 540, 9362, 267, 971, 607, 3327, 8166, 267, 9436, 267, 543, 5135, 563, 1607, 1184, 2337, 547, 8831, 519, 15808, 1272, 540, 519, 1587, 676, 23646, 1524, 519, 2208, 540, 4551, 543, 824, 14471, 269, 30684, 11183, 568, 4122, 1031, 585, 4195, 3132, 267, 19323, 5370, 267, 543, 16152, 563, 9556, 1881, 22014, 1877, 28820, 10840, 13268, 1645, 454, 9556, 1881, 22014, 1877, 28820, 10840, 13268, 1645, 630, 7246, 29262, 264, 568, 513, 4999, 540, 30684, 543, 12511, 11183, 269, 901, 1184, 3322, 9427, 519, 2011, 689, 519, 10189, 543, 13868, 621, 609, 513, 7848, 540, 9362, 267, 607, 538, 30684, 11183, 563, 763, 10189, 568, 1287, 12511, 5498, 4705, 547, 2226, 519, 9168, 5790, 269, 10790, 29262, 568, 4122, 1031, 585, 5779, 267, 10381, 267, 543, 824, 829, 27720, 1426, 3688, 563, 294, 553, 4469, 2313, 13268, 1645, 454, 294, 553, 4469, 2313, 13268, 1645, 568, 513, 1826, 540, 12511, 11183, 602, 3322, 1210, 513, 7848, 540, 9362, 547, 5372, 519, 2011, 3330, 519, 10189, 269, 634, 9362, 1031, 538, 713, 1184, 4096, 593, 519, 1587, 1373, 26437, 563, 1607, 1184, 2337, 547, 8831, 519, 15808, 1272, 540, 519, 1587, 676, 4227, 519, 2179, 540, 5135, 3330, 519, 10189, 269, 13937, 4469, 2313, 13268, 1645, 568, 4122, 1031, 585, 6995, 267, 10808, 267, 543, 824, 3819, 1426, 3688, 563, 309, 659, 10840, 16164, 13268, 1645, 454, 309, 659, 10840, 16164, 13268, 1645, 568, 513, 1826, 540, 12511, 11183, 602, 3322, 1210, 513, 5068, 4670, 547, 3382, 519, 1587, 543, 13021, 621, 547, 513, 21312, 25380, 267, 2147, 547, 2960, 11183, 563, 4913, 267, 538, 713, 1184, 267, 519, 5068, 4670, 568, 12699, 543, 12511, 5498, 4705, 17401, 1472, 519, 1587, 267, 2870, 513, 2960, 2389, 697, 13021, 563, 309, 659, 10840, 16164, 13268, 1645, 568, 4122, 1031, 585, 5779, 267, 3165, 267, 543, 824, 829, 27720, 1426, 3688, 269, 898, 3091, 1434, 4027, 1996, 7509, 543, 5135, 543, 568, 5078, 585, 1279, 3856, 4859, 563, 14454, 267, 1142, 1826, 540, 12511, 11183, 4244, 814, 922, 1378, 2189, 2934, 543, 2640, 269, 634, 3903, 540, 799, 835, 547, 946, 5673, 593, 519, 1587, 1373, 26437, 267, 519, 5551, 15808, 1272, 267, 543, 824, 2188, 563, 26502, 547, 6333, 1879, 19805, 28820, 10840, 13268, 1645, 10201, 2510, 454, 2691, 621, 2501, 547, 7446, 12511, 11183, 8925, 267, 972, 616, 1896, 2188, 547, 2015, 267, 971, 607, 1587, 1826, 267, 15808, 1272, 267, 1942, 267, 543, 2825, 1764, 563, 10376, 540, 891, 2188, 666, 1860, 519, 2949, 7145, 540, 519, 11183, 3070, 543, 1058, 581, 5402, 11117, 1354, 1818, 513, 3375, 563, 763, 1826, 540, 1587, 1373, 26437, 568, 606, 1271, 7156, 950, 7446, 513, 12511, 11183, 4244, 269, 2368, 2472, 949, 2154, 1808, 11183, 2326, 610, 2409, 547, 2327, 6099, 11091, 543, 4195, 1145, 563, 2690, 1383, 267, 10347, 3688, 899, 5613, 543, 5388, 949, 2154, 513, 811, 9543, 11183, 1505, 267, 971, 607, 2960, 11183, 267, 547, 2061, 3441, 543, 8190, 4195, 1145, 563, 763, 5497, 15808, 1272, 540, 519, 1587, 568, 1776, 1271, 3815, 547, 2015, 269, 2368, 11183, 2409, 949, 581, 811, 2500, 693, 8497, 519, 4195, 1145, 543, 2298, 540, 2472, 936, 513, 3476, 1974, 540, 942, 563, 2690, 1383, 267, 30684, 630, 7116, 1881, 5790, 11183, 264, 666, 948, 8831, 519, 15808, 1272, 540, 829, 27720, 3688, 899, 5779, 543, 10683, 2472, 563, 21798, 568, 2141, 513, 7156, 950, 7446, 1022, 1826, 540, 11183, 3070, 269, 28820, 10840, 11183, 8925, 666, 2039, 538, 3902, 4470, 593, 519, 2326, 1031, 543, 519, 6988, 540, 519, 11183, 1184, 563, 2005, 779, 1271, 547, 2015, 519, 2949, 1942, 540, 519, 11183, 3070, 267, 1519, 1022, 3606, 3937, 610, 4074, 2838, 267, 547, 2327, 621, 568, 513, 20019, 14323, 4781, 563, 7661, 267, 519, 2825, 1764, 540, 519, 11183, 3070, 1058, 581, 11117, 269, 3509, 6800, 543, 4213, 616, 3168, 585, 811, 13476, 7874, 11183, 8925, 602, 946, 6691, 762, 610, 2030, 2861, 2326, 563, 292, 4916, 630, 10339, 663, 539, 4874, 560, 344, 16867, 264, 568, 513, 1455, 11183, 1570, 602, 568, 711, 6691, 762, 543, 666, 723, 513, 2942, 1764, 593, 519, 1604, 269, 1234, 20608, 11435, 543, 10357, 7888, 11183, 1500, 689, 13381, 21312, 616, 4742, 5051, 2442, 8925, 563, 1103, 3932, 267, 950, 7446, 12511, 11183, 8925, 267, 621, 779, 1271, 547, 2015, 1587, 1826, 267, 15808, 1272, 267, 1942, 267, 543, 2825, 1764, 563, 3528, 10442, 891, 2188, 267, 4213, 666, 1118, 5483, 3664, 602, 3666, 519, 2115, 540, 741, 2472, 609, 519, 7287, 547, 946, 13476, 7874, 543, 1942, 15807, 11183, 3435, 563, 1103, 3932, 267, 12511, 11183, 568, 513, 2442, 543, 2500, 1259, 547, 8190, 1426, 543, 8831, 922, 15808, 1272, 563, 4913, 267, 621, 568, 711, 519, 1152, 4781, 2139, 269, 1306, 6800, 1831, 811, 13476, 6857, 267, 972, 568, 513, 3395, 3747, 585, 4264, 11183, 8925, 563, 5278, 540, 519, 8925, 547, 12511, 11183, 1331, 912, 268, 3525, 1881, 5790, 11183, 630, 31778, 264, 543, 6417, 5790, 11183, 630, 290, 4338, 264, 799, 948, 8190, 3536, 676, 13868, 930, 610, 782, 540, 519, 5135, 538, 519, 2011, 3330, 519, 10189, 609, 824, 9362, 971, 607, 3327, 8166, 610, 9436, 563, 268, 21954, 22869, 543, 11003, 762, 11183, 1500, 689, 2326, 971, 607, 2030, 2861, 15229, 267, 1957, 267, 543, 21312, 563, 268, 1234, 20608, 11183, 971, 607, 4837, 30660, 267, 4496, 512, 1231, 267, 543, 30736, 11435, 563, 268, 3687, 2711, 11183, 602, 3096, 1152, 1018, 568, 2556, 547, 2149, 519, 1587, 1510, 4430, 3653, 563, 2005, 568, 1271, 547, 4063, 602, 1247, 891, 8925, 949, 581, 811, 4264, 267, 789, 949, 711, 2141, 581, 607, 2500, 607, 12511, 11183, 538, 8497, 1426, 2298, 543, 3106, 269, 898, 568, 909, 547, 9755, 543, 6800, 547, 1265, 513, 3666, 1063, 6940, 543, 10342, 563, 14454, 267, 519, 6521, 2509, 811, 4264, 11183, 8925, 568, 513, 2318, 1900, 2509, 4227, 3653, 543, 7863, 519, 1604, 269, 1306, 2029, 543, 5647, 3136, 547, 4434, 267, 621, 568, 2693, 602, 1256, 811, 4264, 3681, 786, 1831, 2139, 538, 519, 2104, 269, 0, 1556, 9578, 11929, 19369, 454, 1103, 713, 2376, 267, 649, 786, 2263, 519, 1883, 3344, 540, 476, 1556, 7132, 981, 7041, 267, 1519, 950, 547, 1376, 8600, 267, 1018, 547, 23590, 267, 875, 547, 2333, 707, 8458, 540, 8429, 267, 543, 519, 2640, 540, 2228, 24875, 269, 1284, 786, 849, 2626, 930, 540, 519, 1034, 4122, 4280, 2055, 827, 519, 476, 1556, 7132, 981, 563, 268, 1879, 547, 1376, 8600, 585, 476, 1556, 7132, 981, 454, 268, 1215, 2182, 568, 519, 476, 1556, 7132, 981, 888, 268, 1548, 547, 23590, 585, 476, 1556, 7132, 888, 268, 1548, 568, 519, 3328, 1780, 1665, 585, 476, 1556, 266, 888, 763, 476, 1556, 7132, 981, 568, 606, 13675, 6514, 3144, 676, 1453, 538, 741, 3803, 1032, 540, 3119, 1153, 538, 519, 5177, 269, 634, 981 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1599, 2474, 269, 634, 1647, 20534, 2165, 568, 9642, 454, 514, 1269, 339, 8961, 865, 519, 3003, 1587, 568, 9642, 538, 1269, 339, 259, 543, 649, 616, 2944, 267, 2348, 454, 2330, 263, 273, 3867, 275, 333, 266, 272, 18511, 272, 9385, 2765, 346, 289, 3709, 275, 333, 266, 273, 12453, 279, 333, 266, 275, 20467, 2330, 0, 1103, 1776, 851, 540, 519, 1353, 267, 3079, 540, 3168, 693, 519, 1843, 267, 519, 4603, 518, 6854, 1200, 4064, 593, 13718, 1103, 1776, 851, 540, 519, 1353, 267, 3079, 540, 3168, 693, 519, 1843, 267, 519, 4603, 518, 6854, 1200, 4064, 593, 519, 2915, 543, 10709, 539, 4724, 519, 1843, 269, 1280, 713, 851, 540, 519, 1353, 267, 918, 686, 1122, 518, 3893, 476, 280, 1318, 856, 540, 476, 1015, 780, 320, 269, 10576, 519, 9936, 540, 1719, 585, 713, 851, 540, 519, 1353, 543, 3651, 513, 3090, 547, 621, 780, 321, 269, 1403, 918, 686, 1122, 518, 568, 1175, 14477, 7446, 1063, 519, 1079, 3615, 267, 1018, 568, 519, 4960, 602, 646, 786, 3442, 519, 2953, 1843, 2496, 322, 269, 3557, 707, 14275, 8367, 543, 606, 3617, 835, 21758, 4244, 8367, 269, 546, 269, 1230, 915, 675, 875, 267, 952, 693, 782, 267, 519, 533, 17032, 585, 891, 1239, 786, 1689, 3379, 547, 602, 689, 519, 1239, 538, 20113, 476, 272, 269, 275, 269, 1240, 543, 476, 272, 269, 275, 269, 866, 630, 3602, 918, 686, 1122, 518, 3893, 476, 277, 856, 540, 476, 1015, 2953, 1040, 11512, 707, 3903, 780, 19102, 848, 13773, 7673, 3396, 519, 1482, 18987, 7673, 3396, 1109, 28206, 848, 692, 11321, 476, 2190, 476, 1708, 271, 347, 476, 1556, 281, 3374, 7537, 1923, 692, 16665, 5999, 692, 2691, 2576, 1207, 903, 513, 19044, 585, 606, 29617, 8184, 267, 972, 568, 513, 476, 271, 269, 271, 4200, 276, 5506, 602, 519, 1268, 13718, 2691, 2576, 1207, 903, 513, 19044, 585, 606, 29617, 8184, 267, 972, 568, 513, 476, 271, 269, 271, 4200, 276, 5506, 602, 519, 1268, 786, 711, 1397, 909, 585, 519, 8184, 269, 1323, 8665, 585, 5794, 3013, 6499, 547, 1433, 476, 2190, 7606, 593, 606, 20987, 602, 666, 10160, 1152, 476, 2420, 269, 1403, 476, 2190, 7606, 616, 1433, 539, 267, 1265, 519, 5506, 602, 711, 2614, 16295, 786, 581, 2139, 269, 1772, 713, 5506, 1970, 2614, 865, 602, 936, 1433, 532, 568, 711, 513, 1483, 6161, 286, 11512, 780, 11321, 476, 866, 476, 1708, 271, 692, 303, 269, 274, 269, 273, 1323, 4672, 8645, 6300, 3091, 513, 10958, 3902, 593, 513, 1507, 4672, 8645, 13409, 9789, 3902, 568, 5833, 676, 269, 780, 303, 269, 274, 269, 273, 1323, 4672, 8645, 6300, 3091, 513, 10958, 3902, 593, 513, 1507, 4672, 8645, 13409, 261, 258, 279, 2641, 273, 282, 1492, 3902, 568, 5833, 676, 12902, 1079, 18062, 543, 1287, 2921, 519, 3677, 1297, 4553, 676, 519, 4130, 1297, 547, 581, 519, 3902, 630, 514, 21347, 1040, 1924, 267, 12902, 513, 476, 274, 543, 513, 476, 273, 610, 513, 476, 273, 543, 513, 476, 274, 1131, 1267, 538, 513, 3902, 540, 476, 3953, 21347, 269, 1403, 594, 3643, 519, 4672, 8645, 6300, 609, 1152, 476, 2004, 21347, 538, 1250, 17927, 267, 519, 5506, 602, 519, 4672, 8645, 13409, 3790, 13718, 11321, 476, 2190, 476, 1708, 271, 692, 12148, 610, 7301, 286, 589, 269, 15932, 5439, 1152, 5352, 28102, 9193, 540, 1279, 24507, 17114, 267, 711, 13718, 12148, 610, 7301, 286, 1299, 258, 8182, 282, 288, 269, 15932, 5439, 1152, 5352, 28102, 9193, 540, 1279, 24507, 17114, 267, 711, 1279, 24507, 1797, 269, 645, 269, 6348, 12690, 5439, 616, 2141, 21678, 269, 1299, 258, 8182, 282, 290, 269, 1703, 568, 1100, 1259, 602, 513, 3732, 540, 476, 1911, 1004, 666, 581, 11347, 540, 782, 4079, 2713, 538, 519, 2136, 2276, 780, 11321, 476, 2190, 476, 1708, 271, 692, 763, 10865, 23269, 540, 519, 1614, 1004, 2324, 538, 513, 1507, 6109, 616, 8096, 274, 267, 4335, 267, 8096, 275, 267, 1822, 267, 543, 8096, 275, 267, 4335, 1862, 780, 763, 10865, 23269, 540, 519, 1614, 1004, 2324, 538, 513, 1507, 6109, 616, 8096, 274, 267, 4335, 267, 8096, 275, 267, 1822, 267, 543, 8096, 275, 267, 4335, 269, 14597, 519, 6109, 2306, 513, 7443, 543, 3025, 4991, 513, 8096, 1911, 6318, 269, 1215, 267, 952, 693, 782, 267, 1131, 519, 3328, 540, 519, 1614, 23269, 1689, 286, 1299, 258, 8182, 282, 288, 269, 634, 3328, 1131, 3251, 519, 1482, 269, 1299, 258, 8182, 282, 289, 269, 634, 3328, 1131, 2333, 269, 595, 269, 634, 3328, 1131, 6175, 269, 667, 269, 2052, 2254, 581, 12943, 1510, 3257, 9273, 780, 11321, 476, 2190, 476, 1708, 271, 692, 288, 6280, 568, 5461, 538, 26500, 1018, 519, 1611, 717, 5183, 540, 922, 20021, 689, 519, 3163, 543, 13718, 288, 6280, 568, 5461, 538, 26500, 1018, 519, 1611, 717, 5183, 540, 922, 20021, 689, 519, 3163, 543, 7177, 3292, 568, 269, 589, 4351, 3732, 540, 476, 3393, 3163, 543, 7177, 1053, 568, 3144, 543, 568, 1336, 547, 723, 513, 1611, 717, 5183, 3160, 547, 476, 274, 269, 6860, 269, 634, 3044, 11539, 585, 782, 3163, 543, 7177, 1053, 568, 10924, 547, 581, 3160, 547, 476, 2412, 269, 5173, 513, 476, 4817, 260, 6015, 8884, 540, 519, 2551, 1611, 585, 2257, 13718, 11321, 476, 736, 476, 1708, 271, 0, 7462, 11872, 692, 1607, 7792, 7028, 5871, 11759, 4569, 9208, 670, 6347, 269, 3918, 296, 11065, 269, 275, 692, 7462, 7179, 27491, 692, 27237, 292, 281, 8307, 707, 1449, 1543, 786, 1820, 563, 2414, 12744, 713, 1449, 267, 4945, 593, 519, 11711, 10624, 543, 2824, 7179, 2776, 1613, 780, 8450, 938, 3391, 593, 1215, 1677, 7827, 645, 4900, 518, 7179, 23994, 547, 21160, 2212, 619, 543, 3723, 619, 1354, 8228, 780, 19530, 4530, 630, 18744, 519, 1449, 1543, 786, 1820, 2020, 1012, 14572, 28065, 12307, 910, 6657, 1948, 272, 692, 272, 563, 1432, 616, 519, 3435, 547, 519, 1739, 3830, 888, 259, 343, 317, 273, 268, 5392, 284, 271, 14204, 272, 269, 1269, 343, 815, 476, 2412, 267, 1422, 1535, 815, 476, 280, 14204, 273, 269, 1269, 343, 815, 476, 271, 267, 1422, 1535, 815, 476, 5392, 14204, 274, 269, 1269, 343, 815, 476, 278, 267, 1422, 1535, 815, 910, 278, 14204, 275, 269, 1269, 343, 815, 476, 271, 267, 1422, 1535, 815, 910, 5392, 14204, 273, 563, 1432, 616, 519, 3435, 585, 519, 13392, 3830, 1269, 343, 317, 273, 1341, 476, 277, 343, 815, 476, 1626, 259, 888, 272, 269, 1535, 815, 910, 273, 267, 910, 279, 454, 273, 269, 1535, 815, 910, 273, 267, 476, 279, 454, 274, 269, 1535, 815, 476, 273, 267, 910, 279, 454, 275, 269, 1535, 815, 476, 273, 267, 476, 279, 454, 274, 563, 8340, 519, 3070, 540, 519, 1739, 281, 1269, 343, 317, 273, 1341, 476, 276, 815, 476, 3953, 259, 563, 272, 269, 1269, 343, 815, 1341, 268, 280, 6912, 277, 14204, 273, 269, 1269, 343, 815, 1341, 268, 274, 6912, 274, 14204, 274, 269, 1269, 343, 815, 1341, 268, 6912, 3953, 14204, 275, 269, 1269, 343, 815, 1341, 268, 274, 6912, 277, 14204, 275, 563, 24169, 519, 13392, 3830, 1269, 343, 317, 273, 266, 275, 284, 10441, 259, 563, 272, 269, 1269, 343, 284, 1015, 14204, 273, 269, 1269, 343, 15871, 1015, 14204, 274, 269, 1269, 343, 284, 266, 268, 1015, 14204, 275, 269, 7183, 540, 519, 1657, 454, 276, 563, 259, 275, 343, 317, 273, 815, 476, 280, 14204, 272, 269, 1269, 343, 815, 10681, 476, 274, 270, 273, 14204, 273, 269, 1269, 343, 815, 476, 273, 270, 274, 14204, 274, 269, 1269, 343, 815, 10681, 476, 273, 270, 274, 14204, 275, 269, 1269, 343, 815, 910, 274, 270, 273, 14204, 277, 563, 24169, 1210, 28809, 610, 519, 28065, 16754, 563, 259, 276, 343, 317, 273, 1341, 476, 279, 343, 815, 476, 271, 14204, 272, 269, 1269, 343, 284, 271, 267, 279, 270, 276, 14204, 273, 269, 1269, 343, 284, 271, 16427, 279, 270, 276, 14204, 274, 269, 1269, 343, 15871, 276, 16427, 279, 14204, 275, 269, 1269, 343, 284, 276, 267, 279, 14204, 278, 563, 24169, 676, 28809, 610, 676, 1210, 519, 28065, 16754, 563, 259, 343, 317, 273, 266, 3393, 343, 266, 1220, 284, 271, 14204, 272, 269, 1269, 343, 15871, 276, 16427, 2412, 14204, 273, 269, 1269, 343, 284, 276, 267, 2412, 14204, 274, 269, 1269, 343, 15871, 1911, 16427, 273, 14204, 275, 269, 1269, 343, 284, 273, 267, 1911, 14204, 279, 563, 24169, 519, 13392, 3830, 1269, 343, 317, 273, 268, 16348, 284, 271, 259, 563, 272, 269, 1269, 343, 284, 266, 268, 1626, 14204, 273, 269, 1269, 343, 284, 1626, 14204, 274, 269, 1269, 343, 15871, 1626, 14204, 275, 269, 7183, 540, 519, 1657, 454, 280, 563, 24169, 676, 28809, 610, 519, 28065, 16754, 563, 259, 343, 317, 273, 1107, 476, 277, 343, 1341, 476, 280, 815, 476, 271, 14204, 272, 269, 1269, 343, 815, 910, 274, 14204, 273, 269, 1269, 343, 815, 476, 274, 14204, 274, 269, 1269, 343, 815, 910, 274, 267, 476, 274, 14204, 275, 269, 1269, 343, 815, 476, 271, 14204, 1015, 563, 24169, 519, 13392, 3830, 281, 1269, 278, 343, 317, 273, 266, 272, 284, 3066, 10608, 1548, 616, 519, 1079, 3435, 585, 519, 13392, 3830, 888, 272, 269, 1269, 343, 284, 273, 610, 1535, 15871, 273, 14204, 273, 269, 1269, 343, 284, 273, 328, 610, 1535, 15871, 273, 328, 14204, 274, 269, 1269, 343, 15871, 273, 610, 1535, 15871, 273, 14204, 275, 269, 1269, 343, 284, 273, 328, 610, 1535, 284, 273, 328, 14204, 2791, 991, 547, 581, 513, 6435, 22826, 2593, 4759, 547, 1569, 1863, 25258, 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 ]
[ 27491, 11822, 10896, 18065, 1384, 272, 269, 16259, 519, 12476, 912, 1892, 12338, 513, 4062, 540, 21312, 547, 957, 607, 519, 3490, 585, 707, 2203, 563, 273, 269, 6778, 519, 22020, 912, 1892, 24344, 519, 476, 280, 309, 6007, 547, 519, 21312, 1210, 3905, 15441, 563, 1892, 6778, 519, 6467, 593, 519, 21312, 3490, 563, 274, 269, 16530, 519, 18065, 912, 1892, 4045, 519, 6007, 17157, 547, 519, 476, 280, 309, 6007, 563, 1892, 5900, 778, 835, 5911, 689, 519, 6007, 17157, 547, 835, 12363, 540, 519, 6467, 1210, 5122, 11746, 563, 1892, 4045, 513, 5911, 689, 519, 824, 12363, 540, 519, 6467, 547, 519, 3476, 1850, 630, 534, 1712, 264, 540, 519, 10896, 563, 1892, 1403, 1210, 513, 19919, 267, 1921, 519, 824, 1850, 540, 519, 10896, 630, 322, 987, 1712, 264, 547, 835, 1439, 540, 519, 19919, 563, 1892, 4045, 519, 824, 1439, 540, 519, 19919, 630, 528, 2047, 689, 519, 10896, 952, 711, 1210, 513, 19919, 264, 547, 519, 2942, 5911, 689, 519, 6007, 17157, 563, 275, 269, 24344, 22627, 912, 1892, 2422, 5122, 11746, 547, 5150, 543, 1202, 3634, 782, 5911, 4296, 563, 276, 269, 13281, 912, 1892, 12414, 593, 519, 6467, 547, 2347, 519, 5547, 269, 634, 10896, 1058, 1769, 909, 780, 2162, 5741, 476, 273, 281, 11822, 27684, 18065, 692, 2971, 10049, 10261, 539, 1384, 272, 269, 476, 280, 309, 6007, 454, 273, 269, 23996, 17157, 454, 274, 269, 9540, 9823, 5179, 454, 275, 269, 9540, 10178, 16405, 630, 7474, 13352, 5196, 519, 5179, 14788, 994, 276, 269, 22732, 630, 338, 17532, 1790, 1961, 2582, 6253, 992, 994, 277, 269, 654, 2231, 454, 278, 269, 9315, 4580, 630, 1721, 20387, 994, 279, 269, 12182, 15441, 7784, 543, 15441, 16853, 454, 280, 269, 15379, 11746, 692, 2971, 5153, 676, 5153, 3381, 27491, 11822, 27684, 18065, 1384, 272, 269, 16259, 519, 12476, 912, 1892, 12338, 513, 4062, 540, 21312, 547, 957, 607, 519, 3490, 585, 707, 2203, 563, 273, 269, 6778, 519, 22020, 912, 1892, 24344, 519, 476, 280, 309, 6007, 543, 519, 9823, 5179, 547, 519, 21312, 1210, 3905, 15441, 269, 3550, 519, 5179, 14788, 568, 1863, 547, 17967, 1510, 25518, 563, 1892, 6778, 519, 6467, 593, 519, 21312, 3490, 563, 274, 269, 16530, 519, 18065, 912, 1892, 4045, 519, 6007, 17157, 547, 519, 476, 280, 309, 6007, 563, 1892, 5900, 778, 835, 5911, 689, 519, 6007, 17157, 547, 835, 12363, 540, 519, 6467, 1210, 5122, 11746, 563, 1892, 4045, 513, 5911, 689, 519, 824, 12363, 540, 519, 6467, 547, 835, 12363, 540, 519, 9823, 5179, 563, 1892, 4045, 519, 824, 12363, 540, 519, 9823, 5179, 547, 519, 6967, 5911, 689, 519, 6007, 17157, 563, 275, 269, 24344, 22627, 912, 1892, 2422, 5122, 11746, 547, 5150, 543, 1202, 3634, 782, 5911, 4296, 563, 1892, 24344, 519, 10178, 16405, 5196, 519, 14788, 540, 519, 9823, 5179, 563, 277, 269, 13281, 912, 1892, 12414, 593, 519, 6467, 547, 2347, 519, 5547, 269, 634, 5179, 1058, 8095, 267, 4929, 519, 10178, 16405, 547, 17967, 780, 2162, 11822, 10896, 5547, 1788, 19247, 1384, 1607, 2203, 3096, 513, 476, 280, 309, 6007, 267, 513, 6467, 267, 543, 606, 10896, 547, 1397, 875, 513, 2596, 5122, 5547, 1568, 780, 1892, 23996, 281, 634, 476, 280, 309, 6007, 2488, 519, 5122, 1648, 2877, 547, 1379, 519, 10896, 563, 1892, 22732, 281, 634, 6467, 2636, 721, 547, 1852, 519, 2095, 540, 5201, 538, 519, 5547, 269, 1879, 519, 6467, 568, 5828, 593, 267, 519, 5547, 568, 2347, 267, 3850, 1699, 547, 2095, 543, 1769, 909, 519, 10896, 563, 1892, 1763, 626, 528, 281, 1403, 1031, 267, 519, 19919, 7182, 519, 1699, 547, 2061, 519, 10896, 689, 8781, 856, 780, 2162, 27684, 18065, 1788, 19247, 1384, 1607, 2203, 3096, 513, 476, 280, 309, 6007, 267, 513, 6467, 267, 543, 513, 9823, 5179, 547, 1397, 875, 513, 2596, 5122, 5547, 666, 5397, 513, 7344, 3926, 780, 1892, 23996, 281, 634, 476, 280, 309, 6007, 2488, 519, 5122, 1648, 2877, 547, 1379, 519, 5179, 563, 1892, 22732, 281, 634, 6467, 8060, 519, 2095, 540, 5201, 538, 519, 5547, 269, 1879, 519, 6467, 568, 5828, 593, 267, 519, 5547, 568, 2347, 267, 3850, 1699, 547, 2095, 543, 8095, 519, 5179, 563, 1892, 16359, 281, 634, 9823, 5179, 17838, 5122, 1648, 883, 7344, 1648, 267, 4929, 519, 7923, 10178, 16405, 547, 17967, 543, 1711, 25312, 780, 4322, 3785, 9414, 4909, 3741, 540, 5201, 543, 11387, 267, 6029, 875, 2241, 3334, 666, 581, 5916, 547, 1711, 6198, 3457, 269, 0, 1607, 3135, 568, 6462, 676, 23190, 547, 634, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 14225, 277, 6434, 513, 3799, 264, 815, 562, 18898, 630, 7116, 476, 274, 1040, 476, 273, 454, 476, 272, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 267, 476, 272, 267, 476, 272, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 277, 25265, 19006, 1280, 562, 285, 271, 267, 513, 3799, 264, 568, 13350, 609, 1974, 476, 277, 281, 10956, 1496, 272, 267, 476, 272, 267, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 4940, 27252, 7269, 540, 476, 9340, 18733, 280, 270, 15886, 15886, 271, 269, 910, 6424, 589, 269, 12397, 996, 267, 9947, 476, 2764, 476, 1001, 277, 700, 2562, 16775, 21280, 2946, 3057, 17144, 3400, 340, 543, 21293, 631, 269, 744, 28705, 5336, 2117, 26408, 267, 2201, 519, 2063, 7857, 543, 519, 2063, 1875, 25179, 7857, 540, 562, 18898, 538, 3490, 536, 267, 818, 311, 643, 840, 2745, 818, 311, 643, 281, 6344, 274, 269, 32076, 277, 1496, 4118, 12991, 307, 3910, 476, 1001, 273, 269, 12039, 13366, 585, 5276, 9888, 18384, 609, 3586, 14170, 267, 15040, 630, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 272, 1040, 11123, 300, 308, 6369, 717, 8807, 12727, 630, 272, 21147, 21147, 317, 273, 21147, 317, 275, 266, 273, 20080, 317, 276, 14870, 317, 277, 264, 1315, 630, 272, 14870, 317, 277, 1040, 910, 19839, 334, 7137, 8688, 328, 267, 3967, 476, 1240, 476, 1001, 273, 3245, 24380, 2917, 25909, 670, 4669, 267, 9947, 476, 2764, 476, 1001, 277, 281, 630, 9359, 264, 513, 3799, 264, 815, 513, 3799, 268, 277, 264, 585, 562, 285, 277, 269, 513, 3799, 264, 815, 5609, 3799, 265, 303, 328, 270, 274, 264, 2608, 630, 1015, 265, 7562, 3799, 265, 303, 328, 270, 274, 264, 1341, 476, 273, 265, 7562, 263, 273, 265, 333, 265, 303, 328, 270, 274, 264, 910, 21762, 263, 274, 264, 910, 476, 273, 265, 6912, 263, 274, 12684, 6523, 3799, 265, 303, 328, 270, 274, 4297, 270, 277, 585, 562, 285, 271, 269, 630, 17484, 264, 513, 3799, 264, 815, 589, 18089, 279, 7761, 10490, 1822, 24374, 3799, 26895, 910, 18466, 29849, 267, 9947, 476, 2764, 476, 1001, 277, 30684, 4041, 589, 14225, 277, 6434, 281, 284, 333, 15010, 12741, 3799, 267, 562, 264, 1110, 476, 274, 281, 476, 272, 267, 694, 336, 10490, 14225, 277, 6434, 3799, 1070, 562, 284, 272, 907, 1911, 5148, 1948, 24380, 2917, 25909, 670, 4669, 267, 9947, 476, 2764, 476, 1001, 277, 13878, 26154, 2316, 7563, 7305, 314, 20175, 9556, 19559, 267, 562, 267, 476, 274, 3910, 2715, 333, 267, 476, 271, 267, 476, 9610, 348, 316, 11550, 294, 630, 7246, 294, 7246, 264, 1496, 272, 316, 3032, 1496, 9556, 10339, 3799, 267, 562, 267, 476, 274, 2567, 562, 538, 1496, 272, 907, 1911, 14963, 282, 12262, 24380, 2917, 25909, 670, 4669, 267, 9947, 476, 2764, 476, 1001, 277, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 1822, 24374, 267, 589, 18089, 279, 7761, 267, 589, 14690, 279, 2190, 269, 25627, 538, 2796, 281, 589, 14056, 13975, 589, 271, 2568, 28071, 589, 23310, 279, 1839, 2608, 589, 6200, 6858, 273, 589, 5400, 274, 278, 4029, 589, 21327, 29214, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 14225, 277, 5952, 589, 14225, 6924, 277, 589, 14225, 6924, 278, 2608, 589, 14225, 6924, 280, 589, 14225, 277, 3445, 589, 14225, 7597, 272, 26395, 312, 310, 16704, 1875, 333, 267, 324, 6470, 27483, 295, 3036, 21280, 2946, 3057, 17144, 3400, 340, 25906, 553, 267, 3967, 476, 1240, 476, 1001, 273, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5239, 476, 866, 476, 1691, 281, 3607, 29269, 476, 1001, 280, 269, 1230, 13935, 476, 29044, 19442, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 258, 9612, 676, 13445, 692, 2971, 8249, 28562, 609, 11790, 543, 23385, 2147, 547, 2290, 547, 17823, 10117, 1384, 23742, 614, 676, 281, 12474, 1826, 912, 21848, 2039, 912, 20806, 3188, 1377, 1384, 2162, 1703, 616, 476, 16960, 2164, 692, 289, 5802, 11762, 3436, 10606, 543, 519, 7089, 3590, 3436, 11790, 543, 23385, 692, 2162, 11638, 1255, 25373, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1432, 798, 519, 2338, 26484, 538, 4544, 593, 713, 4627, 4009, 723, 538, 1455, 286, 1548, 798, 596, 5469, 827, 519, 11909, 2338, 286, 1215, 827, 519, 26484, 2338, 538, 519, 824, 10945, 2496, 2162, 898, 22955, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 22428, 649, 1450, 6000, 547, 946, 1614, 2338, 1447, 982, 476, 1015, 543, 9062, 873, 1927, 269, 1215, 1082, 1114, 2472, 666, 596, 1265, 286, 1215, 798, 596, 917, 596, 4312, 3893, 873, 782, 2496, 2162, 31687, 1115, 538, 513, 13340, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 1692, 1082, 1114, 8032, 10833, 666, 596, 1374, 585, 476, 3607, 26265, 538, 835, 4494, 286, 2052, 596, 6582, 519, 26265, 865, 602, 1100, 26265, 540, 519, 1482, 7990, 616, 1985, 547, 1142, 824, 538, 1022, 4287, 2496, 2162, 634, 7720, 976, 540, 966, 12320, 341, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 763, 4541, 540, 966, 12320, 341, 814, 5722, 24262, 269, 2052, 596, 960, 856, 875, 1279, 621, 568, 1063, 1142, 2706, 3887, 743, 15199, 2496, 2162, 25491, 19336, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 4692, 596, 6445, 538, 713, 3349, 4009, 286, 634, 2338, 476, 273, 910, 1321, 941, 1031, 547, 5352, 621, 609, 1175, 835, 1297, 1031, 7466, 780, 2162, 18599, 4469, 5792, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 20059, 580, 622, 519, 10545, 1297, 540, 7575, 621, 3217, 547, 2490, 891, 1319, 338, 26700, 16365, 952, 596, 666, 1152, 2490, 4010, 1614, 693, 513, 942, 780, 2162, 18527, 8293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 601, 730, 20070, 3753, 630, 29949, 3674, 2020, 296, 269, 4985, 692, 1103, 519, 2136, 2276, 267, 960, 5829, 7063, 630, 29949, 3674, 264, 2272, 585, 513, 1713, 6712, 540, 24896, 543, 9019, 269, 4340, 547, 519, 13163, 540, 8534, 10803, 267, 972, 941, 5111, 476, 273, 269, 279, 2929, 1875, 325, 7614, 654, 305, 3674, 4080, 676, 4357, 2872, 12820, 538, 476, 1001, 280, 269, 1452, 7194, 5031, 519, 2956, 540, 1620, 519, 2564, 3344, 540, 654, 305, 3674, 543, 519, 1909, 540, 17163, 543, 4853, 4915, 538, 5883, 873, 269, 901, 1576, 1770, 786, 5490, 883, 519, 1585, 2010, 540, 654, 305, 3674, 267, 741, 5868, 267, 2126, 267, 543, 6604, 267, 1210, 519, 1344, 4843, 538, 519, 2546, 1349, 607, 513, 5748, 780, 2862, 269, 4197, 4518, 7304, 601, 730, 20070, 3753, 692, 288, 269, 9502, 692, 29949, 3674, 3277, 547, 1022, 2168, 5945, 267, 4576, 267, 610, 2068, 602, 14340, 856, 540, 543, 538, 519, 1576, 540, 7694, 269, 634, 5945, 949, 581, 3361, 676, 513, 2582, 2680, 267, 971, 607, 513, 2887, 267, 610, 621, 1223, 1267, 689, 16625, 2566, 610, 4598, 547, 5739, 6878, 936, 942, 780, 289, 269, 9537, 540, 654, 305, 3674, 692, 2467, 616, 1896, 6688, 540, 654, 305, 3674, 267, 1519, 1384, 272, 269, 3004, 9964, 20070, 3753, 910, 1452, 2049, 1813, 547, 6727, 2621, 267, 971, 607, 1793, 2354, 267, 15143, 267, 8813, 267, 3684, 1303, 836, 2211, 267, 5179, 6174, 10913, 267, 610, 5208, 269, 6201, 1331, 11912, 267, 18655, 267, 17236, 267, 20015, 2478, 267, 543, 838, 23230, 563, 273, 269, 8210, 12455, 5669, 20070, 3753, 910, 4746, 1634, 607, 30273, 4713, 630, 5960, 17762, 1070, 891, 8451, 689, 7368, 5322, 267, 26101, 2022, 999, 267, 21513, 267, 610, 8261, 7829, 540, 5230, 3615, 269, 5871, 23908, 21978, 7063, 1331, 15790, 531, 15993, 6794, 267, 25688, 4345, 267, 543, 1394, 1928, 563, 274, 269, 27706, 29520, 525, 910, 1452, 616, 3676, 4611, 689, 4598, 547, 13818, 6878, 267, 8069, 267, 610, 5054, 269, 1358, 666, 8915, 607, 7929, 2175, 267, 2960, 4713, 267, 6217, 2530, 267, 610, 10285, 2152, 269, 6201, 1331, 607, 12895, 2670, 267, 1291, 15464, 267, 543, 6846, 14001, 6217, 2530, 563, 275, 269, 16723, 20070, 3753, 910, 1452, 7854, 2790, 1072, 2042, 31827, 689, 960, 5829, 2188, 267, 971, 607, 2816, 8833, 267, 18275, 267, 610, 15779, 2621, 269, 17148, 899, 4965, 267, 4160, 267, 543, 2022, 32034, 2566, 4524, 630, 303, 15056, 264, 666, 581, 9286, 607, 5626, 654, 305, 3674, 780, 7656, 269, 23369, 543, 9615, 540, 654, 305, 3674, 692, 288, 269, 11957, 540, 7216, 27800, 692, 15900, 6304, 538, 654, 6020, 2665, 5849, 12905, 1569, 547, 3617, 2564, 1416, 267, 799, 666, 3648, 2087, 6051, 4093, 543, 2569, 1279, 3856, 9659, 269, 31740, 1058, 1867, 1022, 16143, 654, 305, 3674, 547, 741, 19217, 832, 5612, 865, 789, 666, 3343, 2564, 3007, 1510, 8488, 780, 289, 269, 10020, 540, 16195, 3038, 11107, 692, 10890, 3249, 7426, 1404, 513, 2629, 1909, 538, 23235, 543, 8156, 654, 305, 3674, 269, 1358, 1590, 1174, 519, 2189, 2470, 540, 891, 7063, 543, 519, 1764, 789, 723, 593, 606, 1367, 781, 2702, 547, 1685, 741, 2816, 11645, 269, 589, 9488, 6514, 267, 1519, 513, 2347, 1686, 543, 2168, 4879, 267, 568, 1898, 547, 2697, 519, 5817, 2014, 540, 519, 5945, 543, 3313, 519, 1034, 2500, 2126, 1935, 780, 290, 269, 9615, 3525, 8017, 692, 21675, 23857, 585, 654, 305, 3674, 4096, 593, 519, 1826, 543, 10335, 540, 519, 5945, 269, 1280, 15779, 7063, 267, 3355, 2359, 2882, 681, 21201, 3797, 630, 6135, 267, 4672, 267, 13496, 267, 15038, 264, 543, 1799, 984, 16478, 952, 2556, 269, 17889, 267, 6646, 267, 610, 2168, 3797, 949, 581, 5227, 585, 811, 4049, 7063, 269, 8210, 12455, 5669, 7063, 1419, 2154, 10943, 842, 532, 267, 2534, 14842, 267, 610, 29416, 8803, 1355, 24409, 269, 27706, 10108, 1522, 28173, 7463, 5574, 267, 971, 607, 1750, 3175, 3797, 585, 5230, 4496, 15464, 610, 5761, 24328, 585, 4359, 17422, 27470, 269, 14936, 267, 5626, 7063, 3335, 4125, 13508, 267, 5042, 15515, 24173, 3797, 267, 610, 14278, 8839, 780, 4353, 269, 10644, 540, 654, 305, 3674, 692, 7093, 28124, 654, 305, 3674, 3340, 513, 14942, 1935, 5473, 1312, 5520, 543, 12820, 269, 6206, 2994, 1331, 1384, 288, 269, 7177, 6513, 338, 910, 20074, 4702, 3435, 547, 7413, 610, 9004, 10898, 267, 971, 607, 22212, 960, 560, 725, 267, 16459, 22651, 593, 6191, 267, 610, 5355, 14910, 1949, 780, 289, 269, 8556, 13577, 6513, 338, 910, 15043, 4507, 267, 5773, 267, 543, 2866, 3292, 547, 2232, 3106, 4145, 543, 3895, 2922, 960, 2853, 269, 8617, 24422, 267, 32116, 267, 543, 10071, 13753, 666, 2417, 5351, 538, 7114, 2127, 8506, 6454, 780, 290, 269, 9608, 13363, 633, 16811, 630, 13048, 292, 264, 910, 21278, 623, 14154, 267, 971, 607, 17309, 267, 31238, 267, 610, 6711, 2209, 267, 547, 2149, 5520, 689, 1761, 2800, 269, 898, 568, 1898, 602, 623, 14154, 568, 5265, 19034, 267, 9738, 267, 543, 1031, 9846, 780, 309, 269, 13751, 19047, 538, 654, 6020, 27418, 692, 763, 2546, 1349, 8711, 519, 1909, 540, 20709, 3281, 4521, 14636, 538, 4543, 13676, 4600, 6330, 519, 1950, 1184, 540, 13844, 13180, 585, 741, 654, 305, 3674, 269, 2755, 4031, 4268, 676, 1533, 267, 13676, 5520, 3622, 723, 519, 1318, 547, 4309, 2564, 2640, 267, 10151, 2698, 9659, 11033, 267, 8628, 9864, 9659, 2640, 267, 543, 25367, 14317, 2533, 269, 1323, 4810, 18607, 666, 4217, 538, 4180, 602, 782, 10858, 2640, 616, 22002, 543, 602, 16108, 10220, 609, 4143, 6042, 568, 9738, 780, 9654, 269, 10390, 692, 8139, 519, 2564, 3344, 540, 654, 305, 3674, 568, 2565, 585, 3782, 4648, 267, 12820, 267, 543, 14519, 7567, 269, 1635, 5009, 4656, 267, 7598, 15324, 3800, 267, 543, 3246, 5401, 543, 7850, 2126, 267, 649, 666, 11574, 519, 11411, 540, 654, 305, 3674, 593, 2043, 267, 3885, 267, 543, 2486, 693, 1804, 269, 5015, 267, 9363, 32448, 540, 3656, 9270, 543, 2502, 19579, 3656, 6041, 950, 2877, 2337, 2327, 4023, 13180, 543, 1489, 585, 1346, 4299, 676, 891, 7063, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 13480, 619, 3281, 4521, 9807, 267, 700, 3558, 7615, 267, 14889, 454, 13480, 619, 3281, 30374, 454, 13480, 619, 3281, 4521, 9807, 538, 700, 3558, 7615, 267, 14889, 269, 3220, 636, 12107, 4521, 2488, 3656, 5583, 547, 13676, 4600, 538, 13325, 269, 3776, 20709, 3281, 4521, 14636, 538, 700, 3558, 7615, 616, 13730, 827, 7863, 596, 543, 707, 1920, 1310, 513, 9036, 8009, 267, 2436, 596, 941, 13676, 538, 513, 17277, 543, 2887, 8009, 267, 1813, 547, 5230, 12227, 610, 3937, 267, 610, 6534, 547, 6757, 6464, 269, 1403, 596, 11124, 7063, 538, 513, 960, 5829, 8009, 543, 991, 948, 3478, 13180, 585, 707, 7063, 267, 1289, 938, 700, 3558, 7615, 20709, 3281, 4521, 14636, 693, 476, 8517, 268, 279, 5655, 268, 271, 5655, 277, 2221, 585, 513, 1100, 16151, 2013, 2689, 269, 3776, 14889, 20709, 3281, 18730, 674, 3305, 849, 3091, 4317, 8232, 26225, 6351, 563, 291, 5300, 12107, 4521, 814, 6719, 4600, 735, 6811, 538, 700, 3558, 7615, 267, 14889, 267, 585, 811, 982, 2185, 5756, 269, 3776, 27192, 723, 519, 2200, 2838, 547, 20354, 1205, 596, 543, 707, 1920, 998, 713, 2352, 1974, 538, 707, 1272, 269, 1403, 596, 941, 519, 6408, 540, 513, 960, 5829, 8009, 543, 991, 513, 20709, 3281, 18730, 4521, 9807, 538, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 27706, 1299, 11633, 6925, 1315, 4518, 7304, 601, 730, 20070, 3753, 630, 29949, 3674, 1040, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 7305, 339, 2598, 680, 904, 910, 634, 9839, 540, 7073, 16353, 17270, 692, 272, 269, 4985, 692, 763, 4473, 540, 16979, 5904, 607, 11684, 5985, 3457, 814, 3648, 12936, 875, 1004, 2170, 609, 2029, 538, 741, 3232, 2729, 269, 3245, 9913, 547, 7607, 267, 2069, 547, 2792, 267, 14342, 723, 19117, 519, 1259, 3755, 4497, 609, 3059, 1543, 269, 2311, 519, 4295, 540, 713, 1995, 6013, 519, 4159, 267, 799, 5713, 607, 1312, 519, 3119, 3403, 7271, 543, 3977, 8818, 1063, 519, 3593, 543, 519, 3926, 269, 901, 1576, 1770, 12538, 883, 519, 14960, 540, 16979, 10525, 267, 3246, 513, 3102, 7650, 540, 741, 4066, 267, 4162, 267, 543, 1655, 2853, 585, 6099, 2773, 543, 15325, 780, 273, 269, 18224, 16370, 11137, 692, 6524, 11362, 4514, 883, 1808, 3344, 540, 16979, 10525, 267, 621, 781, 1898, 547, 24559, 6000, 609, 519, 1034, 1455, 4159, 4066, 6964, 676, 9755, 269, 1452, 5097, 2874, 540, 1079, 6688, 281, 5277, 12627, 10525, 630, 299, 7374, 264, 543, 5214, 1769, 15041, 9231, 26534, 630, 5357, 3633, 1040, 5637, 2010, 4183, 2189, 5383, 543, 4123, 26160, 4470, 593, 2188, 971, 607, 1379, 4616, 267, 2681, 6111, 267, 13156, 7285, 267, 3210, 2053, 267, 543, 1942, 780, 320, 269, 28966, 32423, 2598, 680, 904, 630, 299, 7374, 2567, 25214, 267, 700, 7374, 8440, 13856, 519, 2344, 1813, 547, 2539, 2504, 3790, 3379, 547, 744, 29612, 8925, 269, 10738, 519, 700, 7374, 1920, 267, 972, 2291, 23658, 20975, 1759, 593, 1394, 2775, 2959, 267, 12077, 27390, 562, 26517, 630, 307, 301, 1070, 7299, 12972, 630, 22849, 1070, 543, 538, 13807, 2033, 15175, 630, 296, 4916, 1040, 3962, 1826, 15225, 8795, 5232, 540, 21386, 7833, 640, 267, 4334, 5223, 267, 2681, 12093, 267, 543, 3109, 2157, 269, 7324, 873, 267, 594, 4916, 700, 7374, 6763, 856, 585, 922, 2647, 13156, 7285, 543, 4977, 2681, 6041, 693, 519, 13258, 540, 14887, 18920, 13289, 780, 321, 269, 17667, 8752, 7232, 2466, 1154, 667, 1675, 525, 630, 5357, 3633, 2567, 769, 6476, 267, 744, 29612, 10525, 30107, 9120, 2681, 25294, 267, 5488, 29295, 3928, 267, 543, 4824, 1648, 4398, 19962, 547, 1582, 2000, 6058, 748, 19641, 8506, 1100, 5094, 1394, 2775, 2707, 269, 1717, 267, 4145, 827, 6633, 2987, 2360, 543, 4389, 12468, 335, 753, 896, 1164, 27233, 946, 2665, 6414, 269, 3958, 267, 744, 29612, 8470, 5777, 2611, 2362, 982, 1346, 540, 700, 7374, 13413, 267, 12145, 7839, 10073, 2066, 6578, 7888, 16979, 3631, 780, 274, 269, 6206, 30352, 20223, 7305, 339, 18224, 10866, 692, 2414, 6218, 16979, 4159, 2298, 8308, 267, 2015, 1896, 2565, 6724, 5941, 2630, 780, 320, 269, 22375, 1299, 623, 31242, 25670, 281, 14451, 21368, 6556, 5857, 704, 23877, 543, 32067, 3877, 267, 1247, 2799, 18920, 5860, 5849, 23704, 13944, 17021, 543, 26546, 11052, 269, 13667, 585, 513, 5934, 6571, 540, 476, 4572, 271, 343, 6344, 271, 19641, 585, 6899, 2542, 543, 19180, 4616, 593, 2413, 14342, 780, 321, 269, 7822, 31133, 583, 1299, 6452, 5596, 281, 22453, 2681, 13708, 7491, 8831, 519, 2039, 540, 10063, 24862, 4778, 3564, 6671, 521, 305, 16412, 4441, 2509, 6626, 26034, 899, 23489, 681, 16412, 610, 667, 5746, 6261, 274, 267, 30364, 8642, 9858, 543, 21706, 5275, 21705, 2681, 6041, 269, 11531, 267, 18232, 661, 2418, 22945, 24017, 1063, 10268, 4778, 543, 4704, 9072, 282, 2832, 585, 18647, 661, 2999, 476, 273, 585, 829, 1061, 1302, 967, 626, 3907, 27720, 27753, 780, 322, 269, 24761, 1145, 1299, 25037, 13158, 3930, 281, 4400, 24788, 766, 10597, 9205, 2070, 1464, 267, 6466, 8476, 4334, 12753, 24772, 9228, 8325, 1145, 543, 6422, 2039, 269, 5899, 633, 585, 8445, 21386, 3436, 14596, 562, 1080, 543, 4334, 12753, 23630, 476, 1911, 271, 281, 272, 585, 25685, 2164, 780, 323, 269, 7348, 532, 27449, 281, 6987, 2400, 13156, 7285, 2327, 5812, 2681, 535, 23474, 7488, 540, 3593, 5133, 267, 7175, 3838, 2833, 1510, 1713, 12159, 269, 6733, 585, 10525, 8720, 21759, 5952, 260, 540, 715, 4811, 290, 2230, 1369, 13008, 2568, 4113, 8880, 270, 3200, 673, 28550, 7182, 780, 324, 269, 15863, 8648, 1299, 4676, 3306, 26162, 281, 27997, 18920, 13289, 7413, 5163, 20747, 1282, 3728, 19550, 11080, 610, 3381, 1404, 3724 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 569, 15054, 3156, 269, 2983, 1563, 4724, 15938, 1053, 267, 713, 1257, 14550, 519, 946, 540, 10321, 607, 513, 6310, 1907, 538, 7077, 10991, 9511, 267, 7077, 543, 20085, 29890, 267, 543, 25107, 9511, 540, 1079, 268, 543, 1614, 8820, 2230, 563, 21615, 539, 12025, 533, 343, 1535, 1535, 1535, 1535, 29491, 10789, 543, 4706, 10241, 676, 808, 269, 661, 671, 517, 1733, 2572, 8636, 18800, 676, 281, 7338, 670, 269, 631, 2714, 267, 12789, 269, 634, 4750, 540, 13507, 545, 20603, 267, 5292, 563, 396, 502, 9686, 27671, 16021, 267, 20413, 25986, 4736, 2843, 353, 6459, 20046, 10948, 21268, 267, 910, 11012, 18547, 13194, 3522, 6459, 2843, 353, 32648, 16021, 13953, 4709, 15800, 29824, 3378, 20732, 3264, 6459, 269, 910, 2843, 507, 3522, 9261, 11012, 3264, 13953, 10948, 3522, 4736, 10780, 23485, 15671, 19757, 4138, 4344, 31502, 2843, 375, 19628, 16648, 3522, 9326, 10780, 21134, 3378, 27569, 9841, 269, 2843, 509, 25974, 8563, 21268, 24012, 27593, 9326, 11714, 17095, 13077, 4736, 4709, 13833, 19277, 21134, 11012, 8563, 3264, 16021, 476, 4344, 7846, 4709, 4709, 3264, 23783, 21162, 17153, 2843, 375, 3522, 9261, 10528, 267, 10780, 3264, 16417, 9686, 14359, 4138, 9261, 4138, 11714, 5284, 371, 17221, 7549, 20977, 11012, 25000, 23783, 20265, 9326, 18194, 8563, 21268, 9841, 269, 2843, 353, 32648, 16021, 13953, 4709, 21660, 16648, 13077, 6459, 17095, 19757, 21660, 11012, 10528, 3264, 30530, 3522, 23783, 4709, 26281, 27188, 15671, 6459, 7846, 16648, 6459, 12811, 4709, 26281, 10780, 31606, 3264, 20434, 267, 10780, 25974, 6459, 3264, 24893, 3264, 15671, 3378, 10780, 23485, 7549, 25974, 4709, 7846, 6459, 31502, 17095, 14359, 3264, 16648, 17201, 9841, 20732, 26281, 11012, 16021, 7549, 31124, 4709, 4709, 26281, 10780, 20977, 13150, 4138, 4709, 7549, 3264, 269, 29112, 4138, 15671, 20265, 23783, 20265, 9326, 2843, 375, 3522, 9261, 10528, 3378, 10948, 18547, 11714, 4736, 10528, 9924, 17153, 4709, 7846, 20977, 267, 15800, 20413, 3522, 4736, 4736, 4138, 8563, 20265, 9326, 11012, 4344, 12811, 3522, 11012, 28314, 4814, 3378, 17153, 30324, 21134, 16068, 4344, 397, 488, 3264, 17153, 3522, 20977, 11714, 6459, 3264, 8563, 3378, 269, 31560, 2843, 494, 396, 507, 396, 495, 25338, 9924, 6459, 3378, 476, 4344, 17201, 9841, 7549, 3378, 16068, 9686, 21170, 10780, 21134, 3264, 27569, 23845, 3264, 267, 31128, 27569, 3264, 25338, 17201, 3264, 3264, 30935, 4736, 3264, 7549, 16417, 10948, 12811, 21170, 3264, 267, 24893, 27671, 16044, 486, 4138, 32553, 4814, 13833, 3522, 6459, 18547, 267, 15800, 29112, 9841, 19628, 13194, 31606, 10780, 32648, 9326, 20977, 267, 24893, 26580, 11012, 3264, 13953, 10948, 3522, 4736, 16068, 20265, 16068, 18547, 21833, 20046, 31502, 11714, 11012, 8563, 9326, 25000, 9326, 11012, 8563, 9326, 4344, 9924, 17153, 25602, 15671, 12811, 4344, 13150, 27593, 269, 2843, 497, 396, 505, 396, 494, 29551, 396, 494, 476, 11820, 2843, 504, 21134, 31606, 9686, 21162, 13953, 16044, 484, 12811, 4344, 4814, 28314, 20977, 8563, 4709, 22147, 3378, 25338, 31606, 18547, 18194, 31606, 21162, 17153, 2843, 494, 396, 507, 396, 495, 25338, 17201, 3264, 3264, 11714, 4736, 3264, 15671, 3378, 21660, 10528, 21134, 4138, 20265, 6459, 2843, 355, 12811, 4344, 4814, 27188, 10528, 13077, 8563, 6459, 23845, 9326, 10780, 17201, 20046, 3522, 9261, 4138, 2843, 507, 396, 494, 396, 350, 396, 494, 11714, 20413, 4138, 17221, 19277, 19628, 16417, 563, 396, 494, 14359, 7846, 268, 18547, 29824, 5284, 379, 7846, 13150, 4138, 20413, 12811, 9326, 267, 2843, 497, 16417, 15671, 267, 910, 11012, 18547, 13194, 3522, 20977, 269, 910, 2843, 506, 4709, 3264, 14359, 7846, 21833, 21170, 11714, 476, 4344, 7846, 3522, 6459, 20046, 269, 0, 307, 12941, 585, 802, 585, 7067, 616, 1079, 17376, 784, 539, 17974, 6949, 2209, 267, 2356, 1500, 540, 13412, 4496, 267, 971, 607, 5374, 269, 1879, 8482, 1996, 513, 2627, 610, 606, 1843, 267, 789, 13469, 693, 513, 3586, 12334, 547, 12520, 7574, 18565, 1310, 519, 1164, 936, 2023, 525, 28201, 856, 269, 634, 12334, 540, 513, 25122, 23643, 5673, 593, 519, 2527, 543, 3259, 540, 519, 1079, 929, 29330, 269, 570, 12941, 585, 802, 941, 11827, 676, 3703, 22459, 3627, 1744, 648, 538, 476, 14378, 272, 563, 288, 25122, 23643, 568, 1500, 540, 513, 2027, 11956, 18585, 547, 5352, 1114, 3280, 12451, 585, 1896, 3156, 267, 1519, 7067, 3797, 269, 589, 7067, 25122, 23643, 568, 513, 3532, 1907, 585, 13346, 938, 1648, 1062, 779, 21513, 269, 634, 5536, 5854, 622, 693, 1114, 12451, 267, 799, 666, 2014, 4744, 28585, 1369, 543, 3544, 519, 1560, 779, 1648, 2361, 269, 9747, 267, 22074, 666, 8915, 2933, 1369, 519, 1560, 269, 2060, 713, 16982, 1184, 267, 25122, 585, 802, 3132, 1978, 12451, 538, 799, 519, 3119, 19089, 7506, 519, 6281, 19089, 585, 873, 547, 13469, 693, 513, 2147, 4908, 563, 1432, 781, 769, 901, 6651, 888, 32101, 540, 570, 12941, 1280, 802, 454, 763, 7122, 568, 1500, 540, 21513, 267, 799, 1797, 1480, 4703, 616, 711, 4396, 269, 14675, 7067, 609, 25122, 585, 802, 5673, 593, 519, 6240, 602, 938, 4703, 616, 24754, 269, 1879, 2576, 779, 1560, 19380, 922, 19820, 267, 789, 1995, 771, 3887, 848, 267, 799, 666, 581, 13761, 950, 513, 25122, 23643, 2337, 519, 4761, 1062, 9594, 513, 1582, 13463, 2718, 1184, 563, 8794, 570, 12941, 585, 802, 568, 606, 2500, 1505, 540, 7311, 3280, 547, 1035, 1575, 2002, 338, 267, 6091, 267, 7633, 267, 28844, 267, 543, 9594, 543, 16846, 1560, 1448, 547, 948, 771, 704, 572, 1627, 328, 585, 1928, 8323, 269, 898, 1568, 547, 1140, 2317, 519, 1560, 689, 519, 2281, 856, 2072, 950, 835, 17358, 875, 547, 946, 25122, 585, 802, 585, 7067, 563, 3891, 2718, 570, 12941, 585, 802, 616, 3638, 538, 21513, 543, 16982, 602, 1489, 519, 2067, 12451, 540, 519, 1560, 269, 4256, 3280, 6329, 2951, 7184, 883, 519, 1560, 998, 1648, 11444, 602, 1860, 938, 17550, 269, 1452, 1648, 2798, 1569, 938, 2631, 540, 2230, 267, 3965, 267, 3666, 267, 543, 7067, 563, 17843, 585, 802, 616, 1031, 547, 3310, 938, 6211, 18819, 267, 3850, 1142, 540, 721, 547, 15222, 1125, 609, 938, 2067, 9979, 269, 1635, 1287, 267, 649, 666, 1265, 856, 27921, 543, 3666, 267, 1312, 540, 799, 616, 2556, 547, 12115, 519, 2247, 267, 1560, 267, 543, 9997, 563, 307, 12941, 585, 802, 616, 849, 10858, 538, 519, 6915, 10276, 1120, 2045, 4610, 1472, 938, 4703, 267, 1634, 607, 519, 513, 3120, 267, 610, 11029, 1648, 563, 19119, 540, 570, 12941, 1280, 802, 454, 307, 12941, 585, 802, 616, 1031, 585, 513, 2647, 2039, 540, 3156, 267, 1519, 9354, 7067, 2360, 593, 519, 8401, 1062, 269, 10241, 2039, 689, 1560, 1928, 8323, 267, 11005, 267, 543, 29915, 908, 835, 779, 1560, 543, 7099, 1282, 16236, 543, 4965, 563, 2467, 616, 1114, 5686, 540, 25122, 585, 802, 585, 7067, 3157, 267, 543, 789, 2709, 519, 1739, 2640, 912, 268, 10163, 1681, 519, 8647, 540, 519, 1560, 779, 1292, 8219, 281, 15742, 25122, 585, 802, 5330, 547, 519, 1560, 779, 1898, 2694, 267, 971, 607, 519, 18558, 267, 6797, 267, 7181, 267, 2634, 267, 15485, 267, 6091, 267, 7633, 267, 1973, 267, 543, 7086, 15485, 563, 268, 29766, 532, 5027, 2497, 281, 570, 12941, 585, 802, 585, 5027, 7816, 11745, 1125, 609, 519, 12636, 547, 3362, 1689, 519, 1560, 1591, 2497, 269, 901, 1184, 11226, 1216, 24715, 566, 267, 6971, 10172, 267, 543, 2087, 4719, 2175, 563, 268, 20154, 4276, 281, 589, 2027, 1305, 540, 1614, 25122, 585, 802, 616, 1500, 14311, 547, 1921, 596, 609, 707, 2362, 1582, 585, 23942, 30334, 563, 268, 25947, 2634, 1599, 267, 15325, 267, 543, 21755, 281, 7756, 25122, 585, 802, 540, 7108, 267, 18234, 267, 8125, 3821, 267, 543, 1773, 11294, 636, 12451, 948, 2087, 3207, 543, 4894, 13596, 689, 519, 1560, 269, 8125, 3821, 267, 585, 3236, 267, 8992, 519, 5250, 540, 20162, 267, 24561, 8031, 267, 543, 20018, 538, 5642, 563, 268, 14572, 1455, 1072, 2175, 281, 3683, 476, 7742, 2489, 1072, 2175, 666, 581, 5701, 609, 7113, 619, 609, 1114, 595, 5991, 1774, 12354, 2314, 269, 4256, 6949, 566, 568, 609, 519, 3047, 779, 4514, 18565, 543, 568, 1360, 3730, 538, 22591, 543, 1035, 1575, 21913, 2798, 269, 1452, 4992, 5854, 622, 2047, 883, 519, 7633, 547, 6001, 543, 3986, 3159, 11808, 547, 1560, 8031, 563, 268, 25947, 1560, 3337, 281, 570, 12941, 585, 802, 616, 3006, 1031, 593, 3170, 2281, 543, 6091, 547, 3159, 873, 543, 2087, 2597, 2530, 563, 268, 5489, 2135, 4328, 543, 669, 31518, 26349, 281, 901, 25122, 1907, 267, 585, 3236, 267, 568, 1031, 3226, 585, 5289, 26349, 543, 4276, 563, 1692, 1677, 2422, 570, 12941, 1280, 802, 1280, 23046, 454, 307, 12941, 585, 802, 616, 2356, 1031, 593, 519, 1560, 538, 1900, 8386, 9912, 5773, 267, 540, 799, 1114, 2409, 4194, 1114, 2042, 269, 25175, 609, 513, 4909, 1702, 540, 17035, 666, 1174, 875, 547, 946, 25122, 585, 802, 585, 7067, 563, 4415, 606, 15181, 25122, 23643, 267, 519, 6565, 666, 581, 5116, 593, 519, 7633, 547, 11177, 8112, 543, 2653, 3350, 269, 1358, 616, 1031, 547, 12954, 1973, 2095, 2509, 519, 4299, 1858, 547, 3895, 4028, 7067, 267, 6001, 519, 6091, 267, 543, 9004, 13802, 1472, 519, 10549, 563, 288, 25122, 23643, 568, 15181, 676, 8066, 519, 2582, 6565, 543, 1287, 11495, 519, 23643, 593, 513, 2182, 2627, 267, 23295, 513, 2182, 11308, 3625, 4988, 538, 16463, 269, 634, 2627, 1058, 581, 31555, 2614, 711, 547, 15072, 519, 23643, 269, 634, 23643, 1058, 581, 8482, 607, 971, 602, 1152, 835, 540, 1312, 929, 29330, 18953, 519, 11495, 3625, 693, 513, 476, 3445, 23263, 5086, 547, 519, 2627, 563, 2026, 649, 616, 5854, 2218, 543, 519, 23643, 1568, 609, 12451, 267, 25091, 16982, 666, 3927, 3142, 1142, 5789, 22941, 543, 741, 7222, 8219, 547, 11745, 1125, 563, 2691, 519, 585, 802, 616, 5116, 2673, 547, 519, 10772, 267, 1472, 476, 276, 9492, 2484, 689, 519, 1274, 267, 789, 948, 10880, 513, 3666, 543, 7939, 883, 519, 8219, 685, 10307, 267, 3226, 1346, 4448, 547, 519, 17391, 8229, 269, 901, 1184, 786, 849, 3648, 1860, 519, 8401, 1062, 607, 513, 2898, 267, 607, 621, 3123, 7920, 14242, 610, 11005, 269, 634, 2360, 540, 519, 1184, 4096, 593, 519, 585, 802, 1031, 563, 307, 12941, 23643, 3280, 11257, 616, 3730, 538, 7231, 609, 1082, 1072, 2042, 267, 1312, 2168, 543, 2790, 10108, 269, 16930, 23643, 5036, 4308, 609, 1367, 2042, 267, 607, 789, 4865, 741, 966, 1388, 16319, 269, 570, 12941, 585, 802, 267, 607, 513, 2564, 3797, 267, 814, 8810, 2500, 538, 1082, 3515, 540, 1634, 543, 1256, 796, 4944, 7505, 15629, 543, 5289, 2152, 269, 4634, 607, 891, 2645, 616, 4294, 538, 1585, 4610, 267, 1519, 6639, 7760, 267, 741, 1599, 538, 519, 7067, 5823, 3112, 581, 23503, 269, 0, 1607, 2985, 814, 1344, 827, 912, 305, 305, 5960, 568, 519, 1292, 1826, 540, 13038, 590, 16235, 630, 5960, 1040, 9049, 568, 513, 1272, 17489, 2783, 3361, 676, 513, 1268, 779, 4761, 1062, 22215, 741, 3844, 8401, 1062, 267, 1519, 519, 8229, 2281, 543, 24869, 514, 1352, 23411, 7863, 8229, 26939, 269, 1879, 16091, 519, 1352, 23411, 543, 13285, 666, 1831, 22224, 543, 8697, 269, 901, 3441, 666, 3500, 1524, 610, 3247, 519, 6786, 21409, 2059, 519, 13285, 538, 519, 2634, 543, 11983, 10260, 563, 2419, 5190, 547, 891, 6786, 1797, 1114, 2694, 540, 519, 1560, 666, 3247, 2324, 563, 10144, 1205, 2589, 950, 891, 6786, 798, 711, 960, 607, 8912, 267, 971, 607, 23324, 5075, 267, 31018, 267, 1928, 267, 27967, 3206, 267, 3665, 13110, 1145, 267, 8467, 543, 4057, 3666, 563, 10144, 609, 681, 305, 5960, 1205, 4761, 1062, 6285, 1572, 882, 22663, 610, 14501, 269, 634, 2589, 1004, 1205, 609, 681, 305, 5960, 4096, 593, 799, 13285, 616, 8697, 543, 799, 6786, 616, 4957, 269, 634, 2589, 666, 2063, 2395, 267, 4374, 267, 3275, 267, 610, 2760, 979, 2476, 269, 2368, 2589, 666, 2097, 1394, 267, 610, 1007, 2589, 2408, 269, 4039, 2355, 532, 543, 1121, 9231, 1797, 519, 2589, 1004, 1205, 689, 519, 4761, 1062, 6285, 2097, 543, 979, 267, 543, 11385, 622, 936, 942, 269, 6168, 476, 5952, 260, 630, 5952, 856, 540, 476, 1911, 264, 540, 1004, 609, 9049, 723, 681, 305, 5960, 1496, 1724, 267, 476, 1240, 268, 2641, 14073, 305, 305, 5960, 2589, 1860, 1004, 779, 1072, 538, 1079, 2081, 912, 10144, 3112, 2995, 950, 513, 26739, 786, 4755, 267, 875, 1279, 621, 786, 2063, 267, 543, 875, 1082, 882, 22663, 786, 4755, 538, 513, 1032, 269, 1280, 1082, 1004, 267, 741, 681, 305 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3698, 1039, 318, 22780, 17338, 15058, 318, 28493, 267, 2855, 2187, 825, 1770, 815, 1193, 9272, 3488, 11767, 519, 1007, 1770, 281, 1412, 1040, 12294, 15405, 825, 7503, 318, 7806, 1470, 815, 10581, 18692, 1038, 3403, 3488, 11767, 519, 7503, 32311, 689, 15432, 281, 1412, 4917, 825, 1592, 15058, 318, 28493, 269, 26303, 20719, 22780, 281, 7503, 318, 7806, 1470, 348, 994, 825, 1948, 2855, 6910, 263, 22780, 994, 825, 2132, 1592, 15058, 318, 28493, 267, 2855, 7531, 3698, 7503, 17338, 15058, 318, 28493, 267, 2855, 2187, 825, 3259, 815, 10581, 9272, 2891, 21920, 281, 27328, 825, 1770, 815, 3403, 3488, 16215, 281, 1412, 1040, 12294, 4590, 825, 952, 1770, 711, 538, 1592, 15058, 318, 28493, 269, 12399, 10031, 1038, 1820, 2891, 1103, 20777, 5149, 23528, 1038, 2132, 454, 825, 1820, 8443, 343, 585, 1535, 538, 2855, 6012, 281, 6352, 19906, 264, 7481, 825, 6098, 318, 22780, 815, 1193, 9272, 3488, 307, 1173, 9643, 5149, 281, 1412, 4917, 825, 952, 6098, 318, 22780, 711, 538, 1592, 15058, 318, 28493, 269, 12399, 10031, 1038, 1820, 2891, 1103, 20777, 5149, 5602, 1038, 2132, 454, 825, 3116, 912, 1038, 1820, 263, 15615, 10857, 2654, 12684, 4289, 15058, 318, 28493, 314, 339, 1173, 9643, 318, 22780, 316, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 562, 815, 703, 9272, 18692, 1038, 1412, 18208, 476, 272, 2433, 1280, 23586, 26142, 333, 18208, 476, 273, 2433, 1280, 1280, 4946, 513, 1770, 26142, 333, 18208, 476, 274, 2433, 1677, 1401, 527, 26142, 333, 29125, 825, 1592, 15058, 318, 28493, 815, 27835, 5471, 637, 9166, 476, 272, 267, 1412, 12881, 9166, 476, 272, 269, 6021, 275, 2676, 4449, 672, 1412, 514, 2583, 9166, 476, 273, 269, 7918, 267, 1412, 10623, 564, 9166, 476, 273, 269, 3199, 279, 2412, 267, 1412, 330, 559, 2210, 516, 9166, 476, 271, 269, 9826, 8679, 825, 2855, 815, 18358, 5471, 637, 3299, 1412, 12881, 3299, 1412, 514, 2583, 3299, 1412, 10623, 564, 3299, 1412, 330, 559, 2210, 516, 262, 6540, 825, 952, 3799, 2652, 476, 272, 2187, 1038, 7503, 17338, 15058, 318, 28493, 267, 2855, 2020, 825, 8640, 630, 333, 2652, 476, 273, 2187, 1038, 1039, 318, 22780, 17338, 15058, 318, 28493, 267, 2855, 994, 825, 3116, 912, 1038, 14827, 454, 0, 2889, 12923, 815, 703, 9272, 3488, 29551, 8563, 29391, 10948, 4138, 16021, 11714, 9924, 31589, 10948, 7549, 7846, 10780, 16417, 9686, 10528, 23485, 9326, 28821, 9326, 281, 1412, 4917, 719, 26792, 815, 703, 9272, 3488, 29551, 8563, 29391, 10948, 4138, 16021, 476, 13077, 4736, 17153, 19757, 9924, 10780, 16417, 9686, 10528, 23485, 9326, 28821, 9326, 281, 1412, 4917, 604, 23131, 3436, 7979, 599, 912, 825, 1820, 3488, 29551, 3522, 20732, 3522, 16044, 482, 4138, 4814, 9261, 3522, 476, 13077, 16648, 3378, 25000, 20046, 11714, 10780, 23485, 16648, 9924, 23783, 5073, 825, 20656, 815, 630, 2889, 12923, 13050, 26792, 8358, 2889, 12923, 454, 825, 1820, 3488, 396, 510, 12811, 25000, 16648, 3264, 23783, 21170, 13150, 9841, 16044, 482, 4138, 4814, 9261, 9924, 281, 22207, 20656, 994, 825, 5520, 815, 703, 9272, 3488, 29551, 8563, 29391, 4138, 16021, 24893, 25986, 6459, 12811, 21170, 13150, 9841, 11012, 30324, 31589, 9686, 17221, 7549, 13833, 16044, 482, 4138, 4814, 9261, 9924, 281, 1412, 4917, 825, 7443, 815, 630, 2889, 12923, 910, 7979, 599, 264, 1315, 5520, 454, 825, 1820, 6600, 262, 396, 509, 23485, 16648, 9924, 23783, 21660, 16068, 9686, 4709, 22147, 3378, 11012, 30324, 31589, 9686, 17221, 18547, 281, 2715, 16118, 348, 5073, 19197, 23131, 2999, 7979, 599, 912, 825, 1820, 3488, 29551, 3522, 20732, 3522, 16044, 482, 4138, 4814, 9261, 3522, 476, 13077, 16648, 3378, 25000, 20046, 11714, 27188, 16648, 9924, 4344, 30718, 5073, 12828, 912, 825, 1820, 3488, 29551, 3522, 20732, 3522, 16044, 482, 4138, 4814, 9261, 3522, 476, 13077, 16648, 3378, 25000, 20046, 11714, 2843, 507, 396, 508, 396, 505, 396, 361, 256, 17210, 0, 2745, 2891, 287, 567, 7711, 476, 7711, 287, 287, 287, 287, 476, 7711, 825, 7711, 476, 7711, 287, 287, 287, 825, 7711, 287, 287, 287, 287, 14744, 2745, 2891, 7711, 7711, 567, 7711, 567, 7711, 476, 7711, 7711, 476, 7711, 476, 7711, 567, 7711, 567, 7711, 567, 7711, 14744, 2745, 2891, 476, 7711, 825, 7711, 287, 287, 287, 287, 476, 7711, 476, 7711, 7711, 476, 7711, 825, 7711, 476, 7711, 287, 287, 287, 287, 14744, 2745, 2891, 476, 7711, 825, 7711, 567, 7711, 476, 7711, 567, 7711, 287, 476, 7711, 567, 7711, 567, 7711, 567, 7711, 14744, 2745, 2891, 476, 7711, 825, 7711, 567, 7711, 476, 7711, 825, 7711, 476, 7711, 287, 287, 287, 825, 7711, 567, 7711, 14744, 5814, 19523, 1477, 592, 836, 284, 280, 1477, 6112, 12804, 836, 2525, 280, 6769, 825, 1820, 2891, 7529, 2525, 298, 2177, 309, 8991, 296, 7529, 4499, 6889, 3418, 825, 1820, 2891, 272, 269, 5327, 2711, 1183, 645, 10719, 14744, 825, 1820, 2891, 273, 11065, 10719, 1183, 2677, 2711, 14744, 825, 1820, 2891, 274, 14389, 601, 340, 541, 14744, 825, 2893, 340, 25507, 9272, 2891, 338, 559, 1695, 16988, 623, 8270, 327, 32386, 281, 834, 17903, 825, 952, 2893, 340, 2525, 272, 6769, 1038, 737, 5448, 815, 703, 9272, 2891, 5733, 4157, 534, 2677, 2711, 281, 834, 17903, 1038, 952, 737, 5448, 2652, 271, 6769, 2018, 1820, 263, 271, 3418, 1038, 3116, 6769, 2018, 1820, 2891, 13757, 559, 9126, 328, 521, 13453, 536, 10719, 14744, 2018, 3787, 284, 3269, 1477, 1038, 1247, 737, 5448, 3436, 476, 271, 6769, 2018, 521, 529, 1415, 320, 284, 737, 5448, 4939, 476, 273, 1477, 2018, 737, 5448, 815, 737, 5448, 2260, 273, 1477, 2018, 3787, 284, 1193, 263, 3974, 1415, 320, 264, 1341, 3787, 1477, 2018, 1820, 2891, 289, 514, 1716, 5984, 740, 531, 1695, 281, 14307, 4226, 3418, 825, 8640, 2893, 340, 2525, 273, 6769, 1038, 3787, 284, 6358, 2891, 300, 553, 4157, 534, 21642, 562, 559, 2967, 23642, 1676, 281, 834, 3418, 1038, 737, 5448, 284, 271, 1477, 1038, 552, 802, 815, 7003, 263, 4226, 9984, 272, 1477, 1038, 585, 7857, 538, 3787, 6769, 2018, 737, 5448, 6834, 703, 5560, 13424, 12684, 273, 1262, 4060, 1477, 2018, 552, 802, 20699, 476, 272, 1477, 1038, 1820, 9497, 301, 559, 2967, 2677, 2711, 740, 531, 1695, 2433, 2580, 330, 5448, 3418, 825, 8640, 2893, 340, 2525, 274, 6769, 1038, 19523, 20216, 527, 263, 271, 264, 0, 12163, 20412, 1807, 1292, 3498, 3758, 780, 1607, 1972, 7159, 517, 568, 938, 1608, 1075, 15975, 10342, 1972, 5406, 563, 2005, 2488, 513, 761, 8714, 4238, 593, 1079, 2338, 899, 1840, 267, 12408, 267, 8691, 6498, 563, 20701, 5228, 23937, 1104, 1039, 454, 5228, 3818, 4124, 1104, 15273, 454, 5228, 15523, 1104, 2820, 454, 5228, 10208, 687, 1104, 1016, 19638, 2745, 6600, 257, 7407, 540, 6449, 4067, 1029, 568, 281, 2715, 1029, 4067, 1029, 348, 15419, 293, 7644, 4306, 318, 301, 9331, 21612, 815, 476, 271, 454, 306, 4488, 31631, 318, 301, 9331, 21612, 815, 476, 271, 692, 3698, 1292, 10031, 825, 1820, 2891, 342, 4372, 547, 9498, 3498, 2919, 538, 2458, 984, 2610, 609, 5493, 8643, 543, 986, 334, 5602, 825, 674, 7644, 4306, 318, 301, 9331, 21612, 815, 703, 9272, 2891, 11767, 519, 1101, 1297, 281, 27328, 825, 22444, 31631, 318, 301, 9331, 21612, 815, 703, 9272, 2891, 11767, 519, 2034, 1297, 281, 834, 11723, 825, 3903, 815, 703, 9272, 2891, 11767, 707, 3903, 281, 476, 272, 9847, 1039, 267, 476, 273, 9847, 1016, 267, 476, 274, 15010, 332, 592, 267, 476, 275, 15010, 15965, 27363, 825, 952, 3903, 2652, 272, 912, 1038, 1820, 6600, 257, 5417, 281, 2715, 5417, 263, 293, 7644, 4306, 318, 301, 9331, 21612, 267, 22444, 31631, 318, 301, 9331, 21612, 14587, 5602, 825, 8640, 3903, 2652, 476, 273, 912, 1038, 1820, 6600, 257, 11357, 281, 2715, 11357, 263, 293, 7644, 4306, 318, 301, 9331, 21612, 267, 22444, 31631, 318, 301, 9331, 21612, 14587, 5602, 825, 8640, 3903, 2652, 476, 274, 912, 1038, 1820, 6600, 257, 332, 592, 281, 2715, 332, 592, 263, 293, 7644, 4306, 318, 301, 9331, 21612, 267, 22444, 31631, 318, 301, 9331, 21612, 14587, 5602, 825, 8640, 3903, 2652, 476, 275, 912, 1038, 1820, 6600, 257, 15965, 281, 2715, 15965, 263, 293, 7644, 4306, 318, 301, 9331, 21612, 267, 22444, 31631, 318, 301, 9331, 21612, 14587, 5602, 825, 3116, 912, 1038, 1820, 2891, 1103, 20777, 3903, 1701, 2020, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 5228, 2979, 1104, 32494, 267, 5430, 267, 5609, 267, 607, 514, 267, 21762, 7531, 3698, 688, 591, 10857, 517, 8217, 267, 4234, 8217, 267, 10693, 273, 267, 4234, 273, 2187, 825, 8173, 825, 713, 1360, 3730, 1599, 568, 689, 281, 3097, 825, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 5392, 272, 31172, 280, 270, 3873, 951, 710, 27322, 3121, 2987, 1790, 3155, 24481, 7146, 26591, 1532, 15277, 26690, 3766, 1186, 15304, 338, 454, 825, 12433, 519, 1390, 5858, 3845, 1063, 1079, 2798, 538, 12919, 454, 825, 593, 519, 3618, 630, 14588, 322, 1881, 538, 8918, 5232, 994, 825, 8173, 825, 546, 8217, 815, 11713, 825, 585, 10693, 272, 267, 4234, 272, 538, 23407, 10857, 517, 8217, 267, 4234, 8217, 2187, 1038, 1948, 6460, 8918, 5232, 547, 32494, 3097, 1038, 10693, 272, 267, 4234, 272, 267, 10693, 273, 320, 267, 4234, 273, 320, 815, 4786, 263, 2784, 2103, 267, 1496, 23127, 272, 267, 4234, 272, 267, 10693, 273, 267, 4234, 273, 20285, 1038, 1948, 688, 951, 710, 4542, 3097, 1038, 546, 23127, 815, 10693, 273, 320, 910, 10693, 272, 3097, 1038, 546, 26245, 815, 4234, 273, 320, 910, 4234, 272, 3097, 1038, 513, 815, 5609, 5560, 26245, 270, 273, 264, 1262, 273, 1341, 5430, 10857, 520, 272, 264, 2608, 5430, 10857, 520, 273, 320, 264, 2608, 5609, 5560, 23127, 270, 273, 264, 1262, 273, 454, 1038, 524, 815, 476, 273, 2608, 607, 514, 4433, 5720, 5416, 4297, 3097, 1038, 678, 815, 476, 277, 4391, 272, 1948, 7101, 3780, 540, 3618, 538, 12919, 269, 2422, 476, 4375, 276, 277, 585, 5195, 454, 1038, 546, 8217, 6910, 6262, 2608, 678, 994, 825, 2132, 546, 8217, 0, 18257, 1477, 23911, 5358, 547, 6744, 952, 513, 7089, 568, 513, 17828, 7089, 5897, 288, 3501, 1297, 568, 513, 2898, 1297, 267, 606, 8870, 3152, 982, 4642, 282, 543, 5897, 15290, 596, 1039, 909, 782, 540, 519, 2188, 1447, 982, 602, 1297, 267, 596, 1205, 602, 1297, 269, 5897, 14300, 6769, 763, 2188, 540, 476, 277, 616, 476, 272, 267, 476, 273, 267, 476, 274, 543, 476, 277, 23228, 272, 1341, 476, 273, 1341, 476, 274, 815, 476, 277, 5897, 763, 2188, 540, 476, 2764, 616, 476, 272, 267, 476, 273, 267, 476, 275, 267, 476, 278, 267, 476, 1691, 543, 476, 2764, 23228, 272, 1341, 476, 273, 1341, 476, 275, 1341, 476, 278, 1341, 476, 1691, 815, 476, 2764, 1477, 18257, 5897, 11133, 815, 703, 9272, 2891, 11767, 519, 1297, 281, 834, 264, 10142, 20135, 815, 476, 271, 5897, 1721, 476, 562, 538, 2039, 263, 272, 267, 1003, 8029, 825, 952, 630, 11133, 4939, 562, 2652, 476, 271, 8029, 1038, 2698, 6834, 562, 5897, 604, 630, 20135, 2652, 1003, 8029, 825, 1820, 2891, 8110, 2739, 7089, 14744, 12828, 6769, 825, 1820, 2891, 8253, 17828, 7089, 14744, 0, 18257, 1477, 23911, 5358, 547, 4813, 606, 6715, 518, 602, 814, 519, 7089, 540, 6226, 1080, 693, 14210, 779, 9255, 543, 519, 2274, 770, 31056, 32693, 540, 519, 9980, 1229, 6715, 518, 693, 2290, 779, 9255, 24653, 338, 534, 11398, 776, 2707, 1477, 18257, 24653, 333, 25507, 9272, 2891, 11767, 519, 1297, 281, 8442, 3418, 339, 5404, 284, 333, 1477, 330, 284, 271, 1477, 6112, 3799, 285, 271, 8029, 825, 737, 284, 330, 266, 272, 1477, 825, 562, 284, 333, 2260, 1015, 1477, 321, 284, 1598, 6025, 5404, 3418, 322, 284, 1598, 17347, 3418, 323, 284, 322, 17070, 25208, 268, 272, 15947, 2745, 2891, 763, 1007, 1297, 4646, 24333, 842, 5560, 17903, 0, 5228, 705, 322, 1104, 13235, 267, 7493, 5035, 24709, 454, 5814, 13668, 692, 5035, 623, 5803, 3000, 263, 2567, 258, 17746, 1192, 528, 632, 3288, 804, 848, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 7076, 2187, 1038, 1582, 269, 11243, 815, 2012, 454, 1038, 1582, 269, 26574, 815, 2597, 22562, 672, 692, 5035, 645, 7441, 1470, 303, 5803, 263, 27398, 2567, 258, 5141, 848, 7493, 320, 16948, 6446, 1609, 320, 4262, 3288, 8818, 3097, 825, 7711, 629, 5724, 5035, 24709, 454, 825, 1219, 9612, 263, 573, 2187, 1038, 1780, 692, 3698 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1966, 4194, 267, 2697, 3270, 543, 4019, 7954, 547, 2055, 2223, 6941, 3220, 269, 16910, 325, 2006, 269, 968, 13295, 267, 741, 4978, 538, 16494, 3197, 267, 13244, 543, 28749, 11527, 8460, 1282, 713, 942, 3034, 15430, 1041, 619, 666, 581, 1483, 6653, 515, 11301, 2443, 1034, 540, 519, 942, 269, 1358, 2461, 2462, 11655, 540, 4758, 554, 13903, 543, 21098, 525, 267, 855, 950, 596, 2307, 873, 585, 741, 6644, 267, 789, 3580, 2285, 596, 519, 4652, 2830, 1229, 5168, 267, 1100, 2339, 875, 10792, 621, 568, 269, 630, 7069, 24178, 1869, 18387, 1406, 16626, 689, 519, 942, 1250, 1287, 476, 275, 4458, 6040, 5143, 803, 1250, 6505, 10538, 4418, 831, 1500, 803, 968, 19972, 513, 22481, 1848, 1261, 7012, 1406, 4636, 267, 855, 1869, 2443, 522, 1993, 26695, 1607, 968, 7224, 1922, 559, 614, 892, 7154, 695, 7491, 1055, 607, 3214, 1935, 2085, 5722, 267, 7064, 547, 707, 1126, 779, 2799, 4390, 585, 6568, 269, 968, 4415, 741, 16012, 25903, 543, 2702, 547, 16174, 1063, 4641, 543, 14810, 267, 789, 616, 811, 5827, 540, 2048, 935, 576, 2718, 685, 519, 5168, 2443, 547, 2149, 2933, 610, 1866, 2223, 3081, 3220, 269, 16910, 325, 2006, 563, 1607, 11095, 3942, 849, 9060, 3214, 3168, 693, 519, 2035, 540, 1434, 543, 3983, 607, 3982, 2152, 269, 968, 19853, 2631, 540, 1318, 543, 4636, 568, 1102, 2716, 1043, 543, 6405, 563, 5445, 616, 8572, 547, 2631, 11029, 1399, 267, 8356, 766, 543, 12457, 282, 789, 616, 27524, 582, 10535, 630, 16591, 11486, 611, 267, 1318, 11320, 3994, 264, 543, 5276, 538, 741, 3206, 2223, 6941, 3220, 269, 16910, 325, 2006, 563, 2690, 1383, 267, 1403, 519, 2915, 3335, 3884, 1406, 4847, 593, 519, 4172, 577, 789, 1522, 1205, 3833, 13347, 952, 789, 1294, 519, 2915, 9361, 972, 267, 1256, 952, 3158, 610, 19033, 15502, 539, 621, 267, 607, 621, 779, 968, 28785, 560, 519, 3652, 3034, 296, 6557, 2386, 594, 6557, 711, 519, 1152, 3158, 945, 4991, 513, 2370, 649, 788, 344, 693, 519, 2856, 540, 1200, 1396, 14782, 4358, 547, 2307, 2243, 827, 13244, 1849, 9476, 269, 1809, 972, 779, 513, 6505, 2427, 547, 519, 2370, 2937, 707, 1126, 568, 4742, 563, 2108, 5445, 4312, 2919, 606, 4835, 1242, 2631, 540, 1318, 543, 4636, 543, 616, 711, 607, 882, 5050, 593, 5007, 4229, 547, 3391, 873, 2223, 3081, 3220, 269, 16910, 325, 2006, 269, 1452, 16012, 1983, 1118, 621, 4443, 585, 3214, 547, 14207, 593, 741, 1378, 267, 2495, 1447, 512, 1872, 540, 2112, 936, 9162, 593, 519, 19209, 267, 543, 1373, 2111, 547, 2161, 267, 968, 296, 6557, 20994, 2223, 543, 2965, 1611, 621, 563, 8139, 543, 2463, 585, 3652, 6238, 547, 4755, 1472, 713, 942, 1932, 267, 1818, 621, 2009, 547, 1404, 513, 5180, 540, 1133, 334, 1510, 621, 10678, 538, 17229, 952, 707, 4819, 3085, 1406, 3094, 563, 2108, 19102, 1078, 5042, 19206, 1450, 873, 547, 1174, 543, 14892, 3818, 9912, 8846, 543, 2844, 1445, 585, 811, 12675, 5712, 269, 769, 1034, 2665, 267, 789, 616, 1447, 16297, 1043, 543, 723, 3476, 3007, 12732, 2223, 6941, 3220, 269, 16910, 325, 2006, 563, 263, 310, 7159, 267, 713, 1611, 789, 666, 948, 856, 811, 609, 26050, 267, 3085, 1406, 621, 286, 24143, 26695, 5278, 1453, 786, 1491, 741, 1007, 7744, 1983, 538, 1193, 728, 269, 11524, 949, 6560, 811, 607, 789, 8275, 602, 3871, 602, 1031, 547, 3100, 2241, 1631, 723, 811, 8356, 766, 547, 873, 269, 7046, 2792, 568, 2141, 1883, 547, 4543, 856, 3214, 1184, 891, 16602, 4664, 269, 1403, 596, 2461, 2348, 8373, 3478, 519, 6643, 3323, 267, 3843, 1210, 513, 4819, 19721, 1397, 610, 1433, 607, 513, 17259, 1055, 1448, 563, 2108, 12892, 2984, 267, 610, 2984, 609, 3197, 2348, 2147, 2833, 610, 4162, 540, 513, 1126, 267, 666, 581, 1360, 5363, 1282, 13289, 2223, 6941, 26391, 15576, 7999, 7322, 267, 12854, 267, 9474, 13048, 4211, 301, 267, 10615, 267, 10017, 543, 11671, 17595, 1108, 693, 8592, 22846, 2353, 5753, 779, 11233, 269, 968, 4322, 1514, 2984, 666, 1683, 606, 5140, 4358, 1448, 585, 3237, 547, 1865, 891, 3871, 267, 1118, 19320, 607, 547, 875, 713, 5222, 519, 1126, 779, 1272, 543, 1448, 856, 3681, 585, 875, 547, 2746, 547, 2833, 3034, 2252, 707, 1126, 568, 10010, 609, 513, 24107, 267, 2119, 2879, 10212, 1782, 909, 585, 513, 9584, 540, 31530, 7999, 547, 1205, 1200, 547, 1930, 909, 827, 1200, 13542, 269, 1403, 621, 779, 513, 2385, 543, 1126, 3390, 267, 6148, 519, 11541, 4798, 540, 7720, 3570, 786, 1205, 1864, 10004, 1154, 563, 2252, 1650, 942, 568, 950, 1352, 781, 811, 11430, 547, 2671, 741, 13542, 267, 2119, 513, 3126, 3733, 1284, 2273, 3427, 667, 10270, 543, 519, 9947, 773, 645, 563, 297, 2158, 2835, 547, 948, 1200, 1865, 7526, 609, 15032, 267, 610, 2549, 828, 9466, 1772, 28214, 9791, 547, 948, 1200, 6330, 1920, 13542, 563, 4407, 621, 779, 2182, 711, 547, 5635, 938, 1378, 3214, 547, 741, 15032, 610, 938, 2828, 685, 3214, 267, 2832, 547, 581, 3461, 609, 707, 1126, 779, 2208, 563, 14881, 1589, 621, 568, 1271, 585, 3237, 547, 3314, 602, 1646, 9775, 2066, 1453, 267, 543, 602, 835, 2085, 630, 7945, 607, 2085, 476, 278, 264, 568, 711, 519, 1439, 540, 1646, 267, 610, 513, 2048, 1372, 611, 1467, 685, 585, 3384, 7744, 1983, 2223, 3220, 269, 15576, 7999, 7322, 19595, 721, 563, 2108, 290, 4321, 1020, 5170, 883, 15296, 267, 543, 607, 3237, 267, 621, 568, 938, 5539, 547, 3136, 547, 4161, 543, 1489, 938, 1453, 1848 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20135, 25507, 9272, 2891, 1692, 1082, 5569, 798, 596, 1616, 547, 3403, 538, 1592, 27328, 5894, 17342, 2639, 12248, 284, 271, 454, 1721, 1775, 538, 2039, 6025, 4973, 2187, 825, 1193, 272, 284, 6358, 2891, 11767, 12673, 19515, 825, 561, 529, 6910, 19304, 272, 994, 1721, 795, 538, 561, 529, 912, 825, 952, 12759, 27203, 264, 285, 273, 543, 630, 329, 314, 271, 316, 2525, 329, 15631, 272, 8079, 2187, 11434, 1293, 284, 12248, 266, 272, 454, 2745, 2891, 763, 1297, 540, 5569, 609, 561, 5460, 476, 476, 273, 610, 811, 543, 2348, 1482, 1101, 543, 2063, 1915, 568, 3160, 547, 2433, 257, 1341, 1598, 6262, 870, 4297, 1038, 454, 2018, 454, 3097, 0, 3698, 15273, 10031, 825, 2698, 25507, 9272, 2891, 11767, 2698, 2338, 27328, 825, 561, 529, 17342, 2639, 825, 9062, 284, 272, 454, 825, 585, 1775, 538, 2039, 6025, 4973, 2187, 1038, 1003, 25507, 9272, 2891, 11767, 1297, 27328, 1038, 561, 529, 6910, 16325, 994, 825, 585, 795, 538, 561, 529, 912, 1038, 9062, 284, 20123, 17586, 265, 329, 454, 825, 1820, 2891, 29410, 540, 782, 2338, 538, 519, 1592, 568, 281, 5602, 825, 1820, 9852, 738, 17586, 264, 13872, 3097, 332, 592, 4590, 0, 1598, 284, 6358, 2891, 11767, 1022, 21642, 19515, 2254, 16229, 284, 1598, 26098, 2891, 2254, 5602, 335, 3233, 16229, 284, 1598, 26098, 2891, 335, 3233, 5602, 604, 263, 2254, 16229, 283, 335, 3233, 16229, 2187, 567, 1820, 263, 1193, 18622, 2897, 19304, 314, 2254, 16229, 281, 263, 335, 3233, 16229, 266, 275, 13580, 2437, 16591, 8442, 2020, 12828, 912, 825, 1820, 19304, 2020, 0, 5228, 11885, 1104, 5044, 454, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 5228, 737, 10327, 7456, 16558, 1104, 667, 1619, 267, 700, 24278, 692, 258, 476, 272, 269, 14091, 491, 364, 27338, 425, 482, 364, 454, 343, 815, 5044, 31912, 272, 267, 273, 267, 274, 3910, 1496, 273, 267, 274, 267, 275, 3910, 1496, 274, 267, 275, 267, 276, 3910, 1496, 275, 267, 276, 267, 277, 316, 7481, 344, 815, 5044, 8443, 275, 267, 276, 267, 277, 267, 278, 20285, 2745, 2891, 343, 17482, 2433, 14307, 1535, 17482, 264, 825, 1948, 630, 275, 267, 274, 994, 2745, 2891, 344, 17482, 2433, 14307, 586, 17482, 264, 825, 1948, 630, 275, 267, 9239, 1012, 3181, 1872, 12693, 454, 2745, 2891, 343, 3337, 314, 271, 316, 23645, 14307, 1535, 17482, 314, 271, 8079, 1948, 476, 275, 454, 2745, 2891, 343, 3337, 314, 272, 316, 23645, 14307, 1535, 17482, 314, 272, 8079, 1948, 476, 274, 7531, 258, 700, 24278, 23645, 14091, 359, 485, 32174, 506, 424, 498, 358, 10563, 508, 502, 423, 507, 376, 424, 482, 506, 10563, 508, 495, 29306, 483, 476, 17432, 510, 21844, 366, 481, 14602, 372, 424, 356, 478, 454, 343, 815, 1535, 269, 31412, 9230, 343, 17482, 314, 271, 3910, 1535, 17482, 314, 272, 3910, 476, 272, 4297, 476, 1948, 630, 275, 267, 274, 264, 23645, 630, 275, 267, 274, 267, 272, 994, 2745, 2891, 31412, 1535, 17482, 2433, 14307, 1535, 17482, 2020, 7531, 258, 476, 273, 269, 14091, 359, 357, 423, 491, 372, 422, 369, 361, 424, 482, 365, 454, 16347, 815, 14938, 1113, 4590, 16347, 14491, 27331, 24278, 263, 28493, 284, 1015, 267, 3403, 318, 27729, 14352, 274, 267, 272, 1070, 11852, 6889, 516, 1663, 257, 4297, 567, 1948, 10563, 375, 361, 423, 509, 376, 32174, 506, 424, 486, 502, 267, 10563, 480, 361, 424, 504, 358, 17432, 510, 21844, 364, 506, 424, 486, 502, 23645, 16733, 333, 267, 274, 1070, 476, 272, 994, 16347, 14491, 20573, 1619, 263, 1911, 4917, 16347, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 258, 2203, 14491, 20573, 1619, 263, 1911, 4917, 16347, 14491, 20573, 1619, 263, 272, 11723, 258, 2203, 27904, 4424, 30800, 258, 476, 274, 269, 10563, 489, 353, 425, 500, 487, 454, 16347, 2593, 335, 850, 263, 9953, 574, 6500, 6889, 611, 600, 2580, 2530, 6889, 332, 572, 5602, 16347, 32265, 3287, 267, 586, 267, 22184, 338, 284, 1911, 9239, 343, 17750, 815, 5044, 8443, 2568, 267, 3583, 267, 3199, 7481, 343, 17750, 815, 1535, 17750, 269, 31412, 263, 272, 267, 274, 267, 272, 2020, 344, 1002, 815, 2203, 4877, 9438, 3287, 17750, 994, 2745, 12169, 1002, 2020, 0, 18851, 7726, 476, 274, 269, 273, 476, 5727, 7531, 5035, 29571, 24998, 2187, 825, 1362, 29571, 11966, 24998, 2187, 1038, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 2018, 1582, 22183, 815, 1535, 454, 2018, 1582, 12785, 815, 7183, 692, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6745, 641, 815, 7183, 454, 1038, 1948, 1776, 10518, 585, 1295, 1871, 454, 1038, 1582, 269, 2381, 815, 7183, 692, 825, 1219, 7903, 4311, 267, 6221, 2187, 1038, 1007, 17045, 815, 29571, 269, 1805, 871, 11966, 263, 14403, 994, 1038, 1007, 17045, 12785, 815, 1582, 6745, 641, 454, 1038, 1582, 6745, 641, 815, 1007, 17045, 692, 1038, 1948, 1295, 6843, 454, 1038, 952, 1582, 269, 2381, 543, 1582, 269, 2381, 2999, 6221, 912, 2018, 1007, 28804, 17045, 815, 29571, 269, 1805, 871, 11966, 4311, 269, 2381, 22183, 994, 1038, 3116, 912, 2018, 1007, 28804, 17045, 815, 29571, 269, 1805, 871, 11966, 263, 14403, 994, 1038, 1007, 28804, 17045, 12785, 815, 1582, 269, 2381, 454, 1038, 1582, 269, 2381, 815, 1007, 28804, 17045, 692, 825, 1219, 1402, 4311, 2187, 1038, 952, 1582, 18994, 10387, 27679, 10031, 2018, 2132, 7183, 454, 1038, 1402, 17045, 815, 1582, 6745, 641, 454, 1038, 1582, 6745, 641, 815, 1582, 6745, 641, 12785, 454, 1038, 1582, 269, 2381, 815, 1582, 269, 2381, 12785, 454, 1038, 2132, 1402, 17045, 22183, 692, 825, 1219, 1295, 4311, 2187, 1038, 2132, 1582, 269, 2381, 22183, 692, 825, 1219, 32708, 10031, 1038, 2132, 1582, 6745, 641, 22183, 692, 825, 1219, 568, 10387, 27679, 10031, 1038, 2132, 711, 1582, 6745, 641, 454, 0, 18851, 7726, 476, 272, 269, 272, 5727, 7531, 3698, 568, 318, 684, 1664, 30415, 2187, 825, 5727, 14419, 513, 5569, 814, 782, 2189, 3197, 8173, 825, 585, 1775, 538, 2039, 263, 271, 267, 7003, 30415, 15892, 1038, 585, 795, 538, 2039, 263, 271, 267, 1775, 2187, 2018, 952, 5569, 14728, 316, 2652, 5569, 5157, 14158, 3546, 2132, 8771, 454, 825, 2132, 6936, 692, 16386, 568, 318, 684, 1664, 2891, 325, 2135, 8442, 568, 6936, 454, 16386, 568, 318, 684, 1664, 2891, 11687, 8442, 568, 8771, 454, 0, 5814, 19523, 454, 5814, 4351, 7531, 5035, 21912, 8266, 24998, 2187, 825, 1948, 13017, 1592, 454, 825, 1362, 5903, 11966, 24998, 2187, 1038, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 2018, 1582, 22183, 815, 1535, 454, 2018, 1582, 12785, 815, 7183, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2212, 2187, 1038, 1582, 23584, 815, 2212, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 1711, 318, 12690, 9078, 1074, 4289, 263, 2381, 19056, 267, 3193, 19056, 267, 2450, 2187, 1038, 1775, 815, 4351, 27110, 263, 2381, 19056, 267, 3193, 19056, 994, 1038, 2212, 815, 21912, 8266, 269, 8266, 11966, 9217, 994, 1038, 6843, 815, 2212, 454, 1038, 585, 9041, 538, 2039, 4433, 1125, 2187, 2018, 1775, 815, 4351, 27110, 263, 2381, 19056, 267, 3193, 19056, 994, 2018, 6843, 12785, 815, 21912, 8266, 269, 8266, 11966, 9217, 994, 2018, 6843, 815, 6843, 12785, 454, 1038, 2132, 21912, 8266, 263, 3650, 2020, 825, 7711, 18878, 24709, 454, 825, 1219, 1592, 15461, 9078, 1074, 8217, 263, 10094, 2187, 1038, 2212, 815, 21912, 8266, 269, 8266, 11966, 263, 271, 994, 1038, 6843, 815, 2212, 454, 1038, 585, 1130, 538, 642, 1023, 912, 2018, 6843, 12785, 815, 21912, 8266, 269, 8266, 11966, 263, 1998, 994, 2018, 6843, 815, 6843, 12785, 454, 1038, 2132, 21912, 8266, 263, 3650, 12785, 2020, 825, 1219, 1820, 4311, 2187, 1038, 6843, 815, 1582, 23584, 454, 1038, 1247, 6843, 912, 2018, 19523, 14714, 323, 719, 22182, 19304, 27316, 22183, 4917, 2018, 6843, 815, 6843, 12785, 454, 2018, 952, 6843, 912, 3546, 19523, 14714, 323, 719, 22182, 2891, 15010, 5602, 1038, 19523, 14714, 323, 719, 22182, 19629, 333, 15419, 825, 1219, 723, 318, 706, 6088, 4311, 2187, 1038, 642, 1023, 815, 1305, 4590, 1038, 6843, 815, 1582, 23584, 454, 1038, 1247, 6843, 912, 2018, 952, 6843, 22183, 538, 642, 1023, 912, 3546, 2132, 6936, 454, 2018, 3116, 912, 3546, 642, 1023, 14491, 27316, 22183, 994, 2018, 6843, 815, 6843, 12785, 454, 1038, 2132, 8771, 7531, 825, 1219, 1205, 17045, 19056, 4311, 267, 737, 2187, 1038, 562, 815, 476, 271, 454, 1038, 6843, 815, 1582, 23584, 454, 1038, 1247, 6843, 543, 562, 11203, 737, 912, 2018, 6843, 815, 6843, 12785, 454, 2018, 562, 6834, 476, 272, 454, 1038, 2132, 6843, 22183, 7531, 825, 1219, 1205, 17045, 4311, 267, 737, 2187, 1038, 562, 815, 476, 271, 454, 1038, 6843, 815, 1582, 23584, 454, 1038, 1247, 6843, 543, 562, 11203, 737, 912, 2018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 3910, 12296, 284, 274, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 537, 614, 335, 5593, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 9018, 335, 5593, 318, 3847, 815, 567, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 3910, 12296, 284, 273, 12467, 1038, 9018, 335, 5593, 318, 2431, 815, 476, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 3910, 12296, 284, 273, 12467, 1038, 9018, 335, 5593, 10734, 18847, 815, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 275, 267, 271, 3910, 533, 1206, 314, 275, 267, 272, 3910, 533, 1206, 314, 276, 267, 271, 3910, 533, 1206, 314, 276, 267, 272, 3910, 12296, 284, 273, 12467, 1038, 9018, 335, 5593, 4671, 641, 815, 825, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 277, 267, 271, 3910, 533, 1206, 314, 277, 267, 272, 3910, 533, 1206, 314, 278, 267, 271, 3910, 533, 1206, 314, 278, 267, 272, 3910, 12296, 284, 273, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 23357, 1676, 335, 5593, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 6418, 335, 5593, 318, 3847, 815, 567, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 3910, 12296, 284, 273, 12467, 1038, 6418, 335, 5593, 318, 2431, 815, 476, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 3910, 12296, 284, 273, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 8807, 516, 996, 992, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1954, 996, 992, 4671, 641, 815, 672, 1582, 269, 4754, 11663, 269, 22056, 318, 2117, 263, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 3910, 1376, 284, 271, 267, 6708, 284, 5197, 267, 2511, 8782, 2117, 3299, 12296, 284, 273, 12467, 1038, 1954, 996, 992, 10734, 582, 815, 672, 1582, 269, 4754, 11663, 269, 22056, 318, 2117, 263, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 3910, 1376, 284, 271, 267, 6708, 15871, 5197, 267, 2511, 8782, 2117, 3299, 12296, 284, 273, 12467, 1038, 11658, 318, 19327, 815, 567, 1582, 269, 4754, 11663, 269, 22056, 318, 2117, 263, 533, 1206, 314, 275, 267, 271, 3910, 533, 1206, 314, 275, 267, 272, 3910, 533, 1206, 314, 276, 267, 271, 3910, 533, 1206, 314, 276, 267, 272, 3910, 1376, 284, 271, 267, 6708, 284, 5197, 267, 2511, 8782, 2117, 3299, 12296, 284, 273, 2020, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 22764, 14585, 1676, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1614, 14585, 1676, 318, 3847, 815, 567, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 3910, 12296, 284, 273, 12467, 1038, 1614, 14585, 1676, 318, 2431, 815, 476, 1582, 269, 4754, 11663, 269, 22056, 318, 1467, 263, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 3910, 12296, 284, 273, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 22764, 19874, 4812, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1614, 19874, 4812, 815, 1582, 269, 4754, 11663, 269, 22056, 318, 2117, 263, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 3910, 1376, 284, 271, 267, 6708, 284, 5197, 267, 2511, 8782, 2117, 3299, 12296, 284, 273, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 1417, 2075, 22620, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1298, 2075, 22620, 318, 537, 614, 815, 672, 1582, 269, 4754, 11663, 269, 22056, 318, 2117, 263, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 3910, 1376, 284, 271, 267, 6708, 15871, 5197, 267, 2511, 8782, 2117, 3299, 12296, 284, 273, 12467, 1038, 1298, 2075, 22620, 18425, 1676, 815, 672, 1582, 269, 4754, 11663, 269, 22056, 318, 2117, 263, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 3910, 1376, 284, 271, 267, 6708, 15871, 5197, 267, 2511, 8782, 2117, 3299, 12296, 284, 273, 25589, 1038, 1582, 6983, 22620, 815, 1496, 14833, 641, 267, 3724, 4580, 267, 537, 614, 335, 5593, 318, 3847, 267, 537, 614, 335, 5593, 318, 2431, 267, 537, 614, 335, 5593, 10734, 18847, 2676, 4449, 8587, 9018, 335, 5593, 4671, 641, 267, 27903, 335, 5593, 318, 3847, 267, 27903, 335, 5593, 318, 2431, 267, 1954, 996, 992, 4671, 641, 2676, 4449, 8587, 1954, 996, 992, 10734, 582, 267, 11658, 318, 19327, 267, 1614, 14585, 1676, 318, 3847, 267, 22764, 14585, 1676, 318, 2431, 2676, 4449, 8587, 1614, 19874, 4812, 267, 1298, 2075, 22620, 318, 537, 614, 267, 1298, 2075, 22620, 18425, 1676, 6540, 1038, 2132, 692, 825, 1948, 12189, 519, 1439, 9557, 540, 519, 17887, 547, 741, 1007, 4087, 454, 825, 1219, 9337, 288, 343, 525, 4311, 2187, 1038, 642, 339, 332, 815, 1582, 269, 1613, 12500, 4265, 4590, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 31320, 318, 754, 9557, 11053, 1040, 307, 454, 1038, 1899, 10983, 815, 476, 271, 692, 1038, 1948, 979, 998, 543, 9062, 1142, 7852, 676, 519, 5912, 5119, 454, 1038, 585, 1899, 538, 1582, 269, 31320, 912, 2018, 1899, 815, 1582, 269, 4754, 11663, 16691, 3581, 263, 1899, 267, 533, 1206, 314, 1467, 10983, 2608, 476, 273, 267, 271, 3910, 533, 1206, 314, 1467, 10983, 2608, 476, 273, 267, 272, 16689, 14030, 17264, 533, 1206, 27007, 1467, 10983, 2608, 476, 273, 264, 1341, 476, 272, 267, 271, 3910, 533, 1206, 27007, 1467, 10983, 2608, 476, 273, 264, 1341, 476, 272, 267, 272, 316, 12467, 2018, 1899, 10983, 6834, 476, 272, 692, 1038, 2132, 692, 825, 1219, 9337, 290, 22620, 4311, 2187, 1038, 642, 339, 332, 815, 1582, 269, 1613, 12500, 4265, 10797, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 14833, 641, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 271, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 3724, 4580, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 272, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 537, 614, 335, 5593, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 273, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 274, 3910, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 275, 3910, 533, 1206, 314, 275, 267, 271, 3910, 533, 1206, 314, 275, 267, 272, 3910, 533, 1206, 314, 276, 267, 271, 3910, 533, 1206, 314, 276, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 276, 3910, 533, 1206, 314, 277, 267, 271, 3910, 533, 1206, 314, 277, 267, 272, 3910, 533, 1206, 314, 278, 267, 271, 3910, 533, 1206, 314, 278, 267, 272, 316, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 23357, 1676, 335, 5593, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 277, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 278, 3910, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 316, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 8807, 516, 996, 992, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 279, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 280, 3910, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 1015, 3910, 476, 533, 1206, 314, 275, 267, 271, 3910, 533, 1206, 314, 275, 267, 272, 3910, 533, 1206, 314, 276, 267, 271, 3910, 533, 1206, 314, 276, 267, 272, 316, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 22764, 14585, 1676, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 1556, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 1321, 3910, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271, 3910, 533, 1206, 314, 274, 267, 272, 316, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 22764, 19874, 4812, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 1724, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 25589, 1038, 533, 1206, 815, 630, 642, 339, 332, 2608, 1582, 269, 1417, 2075, 22620, 318, 754, 9557, 11053, 15426, 307, 454, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 1691, 3910, 533, 1206, 314, 271, 267, 271, 3910, 533, 1206, 314, 271, 267, 272, 3910, 533, 1206, 314, 272, 267, 271, 3910, 533, 1206, 314, 272, 267, 272, 316, 12467, 1038, 1582, 269, 4754, 11663, 16691, 3581, 263, 1582, 6983, 22620, 314, 1428, 3910, 533, 1206, 314, 273, 267, 271, 3910, 533, 1206, 314, 273, 267, 272, 3910, 533, 1206, 314, 274, 267, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29094, 4477, 704, 454, 20756, 972, 269, 1284, 616, 10010, 609, 513, 1966, 689, 606, 2025, 981, 827, 8579, 11707, 269, 594, 4126, 596, 666, 948, 721, 610, 2285, 1022, 10881, 269, 3371, 568, 519, 1966, 780, 1012, 14581, 15048, 692, 288, 12068, 568, 5258, 676, 513, 3774, 883, 1079, 6810, 540, 3160, 4320, 269, 2290, 3296, 540, 519, 12068, 568, 7620, 4904, 676, 606, 4998, 3154, 693, 2837, 570, 271, 267, 6466, 519, 824, 3296, 568, 8900, 269, 3973, 267, 513, 1507, 8559, 568, 8118, 538, 519, 12270, 3774, 971, 602, 519, 3154, 666, 2095, 998, 267, 2394, 11466, 568, 6603, 269, 6333, 519, 12068, 9678, 2509, 519, 4478, 543, 1100, 3002, 568, 22121, 609, 519, 6821, 780, 320, 264, 1548, 568, 519, 3803, 18323, 540, 519, 1062, 888, 9989, 519, 3154, 798, 1022, 960, 286, 1879, 596, 2626, 602, 2243, 267, 4019, 519, 1101, 1876, 547, 3313, 519, 1689, 538, 4835, 1648, 269, 1548, 1281, 602, 2995, 596, 827, 519, 1689, 538, 2837, 2496, 321, 264, 1692, 1281, 519, 1267, 1689, 952, 3079, 7620, 519, 12068, 568, 4904, 609, 513, 11709, 3541, 20613, 1023, 3154, 888, 7343, 569, 519, 1482, 1101, 1876, 2079, 269, 769, 713, 2013, 267, 2705, 267, 875, 568, 2837, 1644, 547, 4320, 543, 4835, 1648, 538, 513, 11709, 3541, 20613, 1023, 3154, 286, 630, 295, 842, 281, 538, 606, 4998, 3154, 267, 519, 2837, 568, 513, 1599, 540, 4835, 1648, 543, 4830, 540, 4320, 269, 6496, 519, 1482, 4019, 547, 513, 11709, 3541, 20613, 1023, 3154, 286, 2020, 4456, 0, 299, 655, 2742, 476, 10436, 269, 275, 269, 274, 269, 27539, 519, 4786, 18159, 288, 318, 272, 267, 594, 318, 272, 264, 1422, 1729, 630, 288, 318, 273, 267, 594, 318, 273, 7751, 568, 607, 538, 3816, 1046, 476, 10436, 269, 273, 269, 274, 609, 1269, 288, 318, 272, 259, 543, 1269, 288, 318, 273, 259, 3143, 5930, 1014, 269, 2913, 1269, 289, 318, 272, 259, 581, 538, 630, 10436, 269, 273, 269, 271, 269, 273, 264, 585, 18159, 288, 318, 272, 267, 594, 318, 272, 30879, 2913, 1269, 289, 318, 273, 259, 581, 519, 3490, 1689, 540, 1269, 289, 318, 272, 10608, 1403, 8691, 676, 1269, 325, 318, 272, 1422, 514, 645, 318, 272, 259, 593, 4399, 4118, 641, 346, 301, 315, 256, 700, 4153, 333, 565, 574, 1080, 9745, 315, 342, 8354, 23214, 289, 318, 272, 12458, 318, 272, 4151, 568, 4642, 538, 1269, 291, 16360, 318, 272, 29408, 1287, 8691, 676, 519, 3239, 1269, 325, 318, 273, 1422, 514, 645, 318, 273, 259, 593, 4399, 4118, 641, 346, 301, 315, 256, 700, 4153, 333, 565, 574, 1080, 9745, 315, 342, 8354, 23214, 289, 318, 273, 12458, 318, 273, 4151, 568, 4642, 538, 1269, 291, 16360, 318, 273, 7751, 780, 27893, 269, 7994, 513, 6881, 1269, 289, 318, 272, 815, 589, 318, 272, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 23373, 342, 8354, 1315, 297, 318, 272, 10608, 4595, 1269, 288, 318, 273, 270, 296, 318, 273, 317, 562, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 815, 589, 318, 272, 270, 296, 318, 272, 3867, 322, 333, 22042, 343, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 1422, 582, 1307, 23214, 288, 318, 272, 270, 296, 318, 272, 3867, 322, 333, 3686, 589, 318, 273, 270, 296, 318, 273, 317, 562, 259, 649, 723, 692, 259, 288, 318, 273, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 23373, 342, 8354, 815, 630, 288, 318, 272, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 23373, 342, 8354, 1422, 582, 1307, 23214, 288, 318, 272, 348, 589, 318, 273, 8203, 315, 342, 8354, 6911, 3602, 649, 946, 1269, 296, 318, 273, 27572, 19631, 12032, 593, 1312, 5011, 630, 8117, 540, 1576, 1269, 296, 318, 272, 27572, 19631, 12032, 585, 1269, 288, 318, 272, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 23373, 342, 8354, 259, 1040, 5590, 1269, 297, 318, 273, 815, 808, 318, 272, 589, 318, 273, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 23373, 342, 8354, 10608, 14803, 5224, 13974, 649, 1205, 519, 6881, 692, 17961, 9387, 15857, 645, 318, 273, 1299, 815, 630, 289, 318, 272, 1422, 582, 1307, 23214, 288, 318, 272, 348, 589, 318, 273, 8203, 315, 342, 8354, 8607, 1299, 815, 1422, 4118, 641, 3189, 9507, 346, 3916, 14990, 333, 565, 574, 1080, 1422, 2765, 31505, 318, 272, 270, 296, 318, 272, 3867, 322, 333, 22042, 343, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 2410, 297, 318, 272, 10490, 318, 272, 270, 296, 318, 272, 3867, 322, 333, 22042, 343, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 8079, 348, 1422, 582, 1307, 23214, 288, 318, 272, 270, 296, 318, 272, 3867, 322, 333, 3686, 589, 318, 273, 270, 296, 318, 273, 317, 562, 8607, 1299, 815, 1422, 4118, 641, 3189, 9507, 346, 3916, 14990, 333, 565, 574, 1080, 1422, 2765, 31505, 318, 273, 270, 296, 318, 273, 317, 562, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 2410, 297, 318, 273, 10490, 318, 273, 270, 296, 318, 273, 317, 562, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 8079, 348, 8607, 1299, 815, 589, 318, 273, 20572, 318, 272, 267, 1422, 24126, 2073, 1535, 318, 678, 316, 23373, 342, 8354, 1315, 297, 318, 273, 1422, 754, 9387, 265, 10926, 1721, 1269, 289, 318, 273, 259, 936, 1269, 288, 318, 273, 10608, 6333, 519, 862, 32477, 6516, 692, 7445, 343, 2096, 520, 3700, 346, 1422, 4118, 641, 346, 301, 315, 256, 700, 4153, 333, 565, 574, 1080, 9745, 315, 342, 8354, 23214, 289, 318, 272, 12458, 318, 272, 348, 2433, 1422, 541, 314, 323, 316, 1299, 808, 318, 272, 32434, 318, 272, 317, 273, 1422, 541, 314, 337, 316, 318, 268, 3189, 3667, 18097, 3686, 1422, 541, 314, 323, 316, 1299, 1422, 15927, 6955, 639, 645, 318, 272, 20728, 18097, 26507, 318, 1775, 1422, 541, 314, 323, 316, 8607, 1422, 4118, 641, 346, 301, 315, 256, 700, 4153, 333, 565, 574, 1080, 9745, 315, 342, 8354, 23214, 289, 318, 273, 12458, 318, 273, 348, 2433, 1299, 808, 318, 273, 32434, 318, 273, 317, 273, 1422, 541, 314, 337, 316, 1299, 1422, 15927, 6955, 639, 645, 318, 273, 20728, 18097, 26507, 318, 1775, 476, 10592, 763, 13251, 15561, 1269, 297, 318, 272, 32434, 318, 272, 317, 273, 1422, 582, 1307, 23214, 289, 318, 272, 348, 645, 318, 273, 1422, 1729, 808, 318, 273, 32434, 318, 273, 317, 273, 259, 568, 1147, 11187, 1317, 1269, 297, 318, 273, 259, 568, 6383, 676, 519, 3239, 540, 1269, 297, 318, 272, 10608, 1635, 19748, 2742, 476, 10436, 269, 274, 269, 275, 972, 568, 513, 4786, 4399, 10401, 9041, 272, 2433, 1422, 15927, 6955, 639, 645, 20728, 18097, 26507, 318, 1775, 1422, 1729, 808, 318, 272, 32434, 318, 272, 317, 273, 259, 971, 602, 1269, 325, 318, 272, 1422, 3667, 346, 573, 348, 18155, 15927, 6955, 639, 645, 318, 272, 20728, 18097, 26507, 318, 1775, 348, 815, 1422, 3667, 18097, 348, 1422, 15132, 1422, 10401, 9041, 272, 259, 543, 1269, 325, 318, 272, 1422, 3667, 346, 573, 13925, 297, 318, 272, 32434, 318, 272, 317, 273, 348, 815, 1422, 10401, 9041, 272, 1422, 15132, 1422, 3667, 18097, 23201, 1284, 5581, 4399, 10401, 9041, 273, 2433, 1422, 15927, 6955, 639, 645, 318, 272, 20728, 18097, 26507, 318, 1775, 1422, 1729, 808, 318, 273, 32434, 318, 273, 317, 273, 259, 676, 11837, 4399, 3667, 18097, 26507, 318, 1775, 259, 547, 519, 3239, 540, 4399, 10401, 9041, 272, 7268, 3667, 18097, 26507, 318, 1775, 7751, 538, 1269, 297, 318, 273, 32434, 318, 273, 317, 273, 10608, 5221, 519, 3239, 540, 519, 7299, 21985, 3568, 18402, 540, 519, 13838, 1269, 297, 318, 273, 32434, 318, 273, 317, 273, 259, 543, 4399, 15927, 6955, 639, 645, 318, 273, 1422, 3667, 18097, 26507, 318, 1775, 259, 621, 5205, 602, 4399, 10401, 9041, 273, 259, 849, 11225, 513, 4630, 582, 4878, 1063, 8691, 676, 1269, 325, 318, 273, 259, 543, 519, 4642, 4786, 269, 4399, 338, 13645, 6911, 1103, 707, 6085, 596, 666, 946, 19673, 543, 19000, 2511, 6128, 630, 523, 29148, 621, 899, 4399, 7032, 259, 1040, 589, 12744, 4781, 568, 2139, 952, 596, 6999, 547, 1294, 875, 621, 1568, 856, 630, 3286, 4945, 593, 519, 3750, 538, 519, 1907, 8663, 1040, 0, 26322, 28483, 692, 258, 667, 16281, 10013, 2562, 298, 9331, 2752, 667, 2752, 297, 296, 692, 7462, 7831, 2938, 281, 1696, 11445, 476, 273, 3933, 622, 3516, 454, 6858, 2698, 7418, 2094, 476, 1708, 271, 692, 8698, 3877, 13718, 6944, 1026, 1903, 538, 454, 8698, 676, 692, 306, 9407, 692, 13014, 5180, 333, 1599, 454, 13014, 5180, 333, 1599, 1210, 5180, 269, 1535, 284, 271, 269, 27898, 4649, 586, 284, 10818, 3287, 267, 272, 264, 586, 284, 272, 586, 284, 10818, 3287, 267, 273, 264, 586, 284, 271, 269, 277, 586, 284, 10818, 3287, 267, 274, 264, 27250, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 305, 15929, 1055, 2338, 547, 562, 17447, 454, 11900, 18944, 676, 513, 12161, 538, 835, 540, 519, 2042, 594, 2813, 267, 594, 2813, 713, 1966, 1141, 596, 723, 547, 5180, 1055, 513, 13735, 1448, 15381, 13718, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 12385, 18350, 17943, 910, 681, 15929, 8633, 454, 2237, 513, 7097, 547, 5180, 513, 1804, 1297, 547, 519, 14282, 476, 1015, 267, 1822, 552, 3052, 269, 1535, 815, 476, 1321, 267, 3374, 279, 267, 5379, 277, 267, 25838, 25341, 586, 815, 476, 1321, 267, 3374, 279, 267, 30420, 267, 1822, 692, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 12385, 18350, 17943, 910, 681, 15929, 4083, 454, 2237, 513, 7097, 547, 5180, 513, 4756, 1535, 547, 476, 274, 8918, 4025, 281, 552, 3052, 269, 1535, 815, 476, 273, 269, 24833, 277, 25341, 586, 815, 476, 273, 269, 31798, 692, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 13425, 602, 1297, 568, 2898, 1297, 454, 13425, 602, 1297, 568, 2898, 1297, 17166, 1535, 284, 1428, 267, 1287, 2626, 568, 476, 272, 269, 1535, 284, 1428, 269, 273, 2073, 1287, 2626, 568, 476, 271, 269, 2999, 10674, 2517, 523, 25769, 3820, 28293, 270, 2662, 1961, 13718, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 21316, 25278, 9978, 281, 24263, 10001, 692, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 21316, 25278, 9978, 281, 24263, 8633, 692, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 21316, 25278, 9978, 281, 24263, 4083, 692, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 21316, 25278, 9978, 281, 24263, 454, 2710, 24263, 2282, 547, 4642, 7151, 281, 910, 279, 269, 279, 267, 2626, 910, 279, 1341, 279, 269, 272, 2626, 476, 279, 692, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 14503, 760, 519, 6152, 689, 1318, 547, 2451, 454, 14503, 760, 519, 6152, 689, 1318, 547, 2451, 269, 6201, 1535, 17342, 272, 281, 276, 3910, 1287, 586, 17342, 276, 476, 275, 476, 274, 476, 273, 476, 272, 316, 1535, 17342, 272, 476, 275, 476, 277, 3910, 1287, 586, 17342, 277, 476, 275, 476, 272, 22049, 32369, 711, 27250, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 309, 10725, 5137, 454, 8620, 513, 6152, 1210, 4009, 23049, 2469, 689, 476, 272, 547, 519, 2016, 1871, 1535, 538, 3268, 593, 476, 272, 269, 670, 842, 281, 946, 27261, 780, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 291, 12874, 1782, 2609, 538, 513, 6152, 454, 11693, 519, 6152, 589, 267, 2132, 645, 538, 799, 782, 2338, 538, 589, 616, 30945, 269, 1924, 585, 281, 589, 815, 1496, 476, 272, 476, 276, 476, 279, 9948, 1287, 645, 815, 1496, 476, 272, 476, 272, 476, 276, 27250, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 8620, 513, 6152, 454, 8620, 513, 6152, 689, 476, 271, 547, 562, 676, 11996, 540, 476, 273, 780, 564, 11445, 476, 273, 3933, 622, 3516, 692, 306, 9407, 692, 15371, 519, 3403, 568, 6152, 888, 11693, 519, 3403, 1535, 267, 2132, 476, 272, 952, 1535, 568, 6152, 610, 3116, 476, 271, 780, 564, 11445, 476, 273, 3933, 622, 3516, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 946, 621, 547, 16977, 630, 324, 3867, 271, 269, 272, 288, 348, 3738, 780, 1012, 476, 274, 269, 280, 281, 6348, 327, 558, 15119, 7010, 692, 19865, 476, 274, 269, 280, 269, 275, 281, 4855, 513, 1880, 3070, 547, 630, 1535, 262, 284, 343, 266, 273, 344, 266, 273, 339, 267, 586, 262, 284, 274, 343, 266, 273, 344, 268, 275, 1070, 513, 264, 1210, 10128, 3815, 1505, 267, 536, 264, 1210, 14802, 19066, 17883, 267, 524, 264, 1210, 3768, 17827, 14170, 780, 19865, 476, 274, 269, 280, 269, 276, 281, 4855, 519, 2489, 3070, 547, 630, 1535, 262, 284, 275, 343, 20742, 268, 272, 267, 586, 262, 284, 343, 266, 275, 344, 3887, 317, 339, 1070, 513, 264, 1210, 10128, 3815, 1505, 267, 536, 264, 1210, 14802, 19066, 17883, 267, 524, 264, 1210, 3768, 17827, 14170, 780, 19865, 476, 274, 269, 280, 269, 277, 281, 4855, 519, 2489, 3070, 547, 630, 1535, 318, 272, 5257, 15871, 277, 343, 318, 272, 266, 274, 343, 318, 273, 266, 5430, 6025, 1070, 1535, 5257, 318, 273, 284, 273, 343, 318, 272, 268, 278, 343, 318, 273, 266, 476, 274, 5430, 6025, 24270, 513, 264, 1210, 14802, 19066, 17883, 267, 536, 264, 1210, 3768, 17827, 14170, 780, 19865, 476, 274, 269, 280, 269, 278, 281, 4855, 519, 2489, 3070, 547, 630, 1535, 5257, 318, 272, 15871, 277, 343, 318, 272, 266, 274, 343, 318, 273, 1341, 5430, 263, 273, 339, 1070, 1535, 5257, 318, 273, 284, 273, 343, 318, 272, 268, 278, 343, 318, 273, 266, 5430, 263, 273, 339, 264, 16532, 513, 264, 1210, 14802, 19066, 17883, 267, 536, 264, 1210, 3768, 17827, 14170, 780, 19865, 476, 274, 269, 280, 269, 279, 281, 6875, 519, 3830, 692, 314, 1654, 322, 12757, 348, 262, 815, 2451, 314, 476, 452, 5476, 15204, 2410, 764, 348, 535, 2350, 346, 272, 2410, 339, 348, 1299, 910, 272, 476, 272, 1299, 535, 2350, 346, 272, 2410, 339, 348, 1439, 15204, 348, 476, 697, 316, 1654, 322, 12757, 15396, 2451, 314, 476, 452, 5476, 15204, 2410, 322, 348, 512, 317, 273, 910, 339, 1439, 15204, 348, 476, 697, 4940, 476, 6540, 320, 264, 6744, 602, 692, 314, 1654, 322, 12757, 20731, 322, 815, 524, 318, 272, 3847, 314, 476, 452, 5476, 15204, 2410, 322, 348, 512, 5609, 512, 910, 339, 5430, 512, 1439, 15204, 348, 476, 697, 316, 1341, 524, 318, 273, 3847, 314, 476, 452, 5476, 15204, 2410, 322, 348, 512, 5430, 512, 512, 5609, 512, 1439, 15204, 348, 476, 697, 316, 6540, 529, 519, 14911, 3070, 269, 536, 264, 2422, 8390, 540, 6724, 547, 1265, 513, 1880, 3070, 780, 19865, 476, 274, 269, 280, 269, 6200, 281, 4855, 513, 1880, 3070, 547, 630, 1535, 262, 815, 476, 276, 343, 1341, 275, 344, 266, 339, 11971, 262, 284, 343, 266, 279, 344, 2389, 1070, 513, 264, 1210, 10128, 3815, 1505, 267, 536, 264, 1210, 14802, 19066, 17883, 267, 524, 264, 1210, 3768, 17827, 14170, 780, 19865, 476, 274, 269, 280, 269, 9083, 281, 4855, 513, 1880, 3070, 547, 630, 1535, 262, 284, 344, 266, 324, 317, 339, 267, 586, 262, 284, 343, 266, 324, 317, 339, 1070, 513, 264, 1210, 10128, 3815, 1505, 267, 536, 264, 1210, 14802, 19066, 17883, 267, 524, 264, 1210, 3768, 17827, 14170, 780, 19865, 476, 274, 269, 280, 269, 9818, 281, 16534, 630, 1535, 262, 318, 272, 24210, 318, 273, 266, 339, 267, 1535, 262, 318, 273, 24210, 318, 272, 266, 339, 264, 609, 3355, 2175, 630, 1535, 318, 272, 263, 271, 6661, 272, 267, 1535, 318, 273, 263, 271, 6661, 273, 1070, 1210, 14802, 19066, 17883, 780, 19865, 476, 274, 269, 280, 269, 10441, 281, 16534, 630, 1535, 5257, 318, 272, 15871, 274, 343, 318, 272, 21147, 318, 273, 266, 339, 267, 1535, 5257, 318, 273, 284, 280, 343, 318, 272, 266, 276, 343, 318, 273, 1341, 6523, 6025, 4297, 609, 3355, 2175, 630, 1535, 318, 272, 263, 271, 6661, 271, 267, 1535, 318, 273, 263, 271, 6661, 271, 267, 1535, 262, 318, 272, 263, 271, 6661, 271, 267, 1535, 262, 318, 273, 263, 271, 6661, 271, 1070, 1210, 14802, 19066, 17883, 780, 1012, 476, 274, 9950, 281, 6052, 630, 2750, 2075, 2478, 2020, 1892, 19928, 3176, 676, 7033, 517, 16740, 9047, 454, 1892, 21133, 7905, 630, 289, 542, 534, 657, 7220, 264, 693, 5548, 1111, 2160, 540, 5303, 454, 1892, 590, 712, 1027, 689, 570, 308, 5548, 1111, 7046, 454, 272, 269, 8058, 602, 267, 952, 596, 11716, 8749, 267, 513, 1788, 850, 17991, 693, 606, 3355, 6991, 630, 341, 318, 271, 264, 543, 5086, 630, 646, 3279, 264, 814, 513, 2039, 681, 2016, 676, 454, 273, 269, 589, 3077, 568, 13883, 476, 272, 269, 276, 5998, 2476, 689, 513, 666, 12061, 2066, 513, 6366, 2361, 269, 4024, 519, 3077, 581, 5734, 952, 519, 20590, 5086, 568, 630, 5655, 317, 264, 543, 519, 666, 12061, 4252, 568, 17991, 693, 606, 3355, 6991, 540, 476, 13199, 544, 4882, 286, 630, 290, 27553, 27750, 267, 607, 596, 917, 267, 4777, 711, 25483, 1916, 274, 269, 1677, 2333, 519, 666, 12061, 261, 3464, 638, 657, 2039, 267, 596, 2322, 621, 593, 513, 13486, 540, 4463, 630, 327, 318, 271, 1040, 4855, 519, 5021, 2039, 538, 713, 2013, 267, 607, 513, 1599, 540, 519, 20590, 5086, 543, 6991, 267, 14322, 519, 2244, 1472, 568, 1869, 6366, 780, 274, 269, 273, 1411, 7903, 513, 4216, 540, 2527, 544, 909, 513, 9386, 609, 5086, 630, 646, 3279, 264, 543, 15452, 11508, 11664, 630, 14153, 1040, 4855, 519, 5934, 3355, 3432, 642, 596, 1590, 2285, 519, 4216, 865, 602, 621, 10301, 513, 4463, 554, 780, 274, 269, 274, 589, 7833, 4604, 540, 3259, 700, 543, 2527, 631, 6013, 2282, 513, 10465, 602, 24508, 1079, 4525, 269, 769, 3148, 476, 272, 267, 519, 11664, 540, 15452, 11508, 1063, 519, 4604, 543, 519, 2627, 568, 630, 14153, 9041, 272, 1070, 543, 538, 3148, 476, 273, 267, 519, 11664, 568, 630, 14153, 9041, 273, 1040, 3776, 6662, 568, 547, 1265, 519, 2121, 960, 654, 2944, 676, 11508, 538, 17444, 519, 4604, 2047, 689, 3148, 476, 272, 547, 3148, 476, 273, 267, 896, 519, 13429, 602, 519, 4604, 7575, 693, 3586, 6991, 780, 272, 269, 14597, 602, 693, 930, 1448, 1282, 519, 1184, 267, 519, 1318, 6316, 540, 519, 4604, 568, 513, 3845, 1535, 689, 519, 10465, 267, 607, 3254, 269, 1879, 519, 4604, 568, 693, 713, 2990, 267, 1018, 568, 519, 9588, 540, 519, 3196, 540, 11508, 9117, 593, 519, 4604, 267, 14322, 602, 621, 261, 3464, 638, 657, 3001, 547, 519, 1318, 286, 18124, 707, 2626, 538, 2474, 540, 782, 4143, 4632, 630, 299, 267, 631, 267, 575, 267, 1535, 267, 630, 14153, 9041, 272, 1070, 543, 630, 14153, 9041, 273, 264, 1916, 273, 269, 1306, 649, 261, 3464, 638, 913, 2938, 538, 8791, 476, 274, 269, 272, 267, 950, 519, 3196, 568, 711, 3586, 267, 596, 666, 3313, 519, 960, 676, 10128, 519, 3196, 936, 519, 12761, 267, 630, 310, 284, 703, 674, 3287, 264, 15848, 1040, 20864, 707, 2626, 689, 630, 320, 264, 547, 1205, 519, 2121, 960, 596, 991, 547, 798, 547, 7485, 519, 4604, 689, 3148, 476, 272, 547, 3148, 476, 273, 780, 274, 269, 275, 634, 2229, 16858, 547, 5150, 16018, 689, 1286, 268, 14935, 676, 2810, 519, 3432, 3970, 593, 519, 19814, 689, 476, 6344, 547, 476, 9610, 5998, 10774, 269, 634, 11685, 2798, 856, 602, 713, 568, 1312, 811, 5906, 543, 786, 2014, 811, 5533, 269, 31123, 2421, 1235, 689, 519, 1286, 2872, 2995, 519, 2229, 711, 547, 5855, 281, 519, 8749, 14170, 540, 519, 6517, 723, 8854, 1524, 3648, 543, 741, 4070, 568, 513, 2603, 811, 4396, 982, 538, 519, 942, 602, 519, 476, 6344, 5998, 10774, 3432, 3970, 729, 1305, 780, 272, 269, 14597, 519, 476, 6344, 5998, 10774, 3970, 729, 1305, 609, 513, 5292, 802, 342, 10402, 2142, 564, 548, 16733, 284, 271, 269, 4366, 4297, 538, 2247, 267, 543, 519, 25211, 626, 261, 3464, 638, 8113, 541, 814, 513, 8749, 11664, 540, 476, 271, 269, 866, 269, 4024, 519, 1007, 1286, 991, 547, 798, 811, 610, 1447, 960, 547, 2226, 513, 3586, 3432, 540, 476, 9610, 5998, 10774, 982, 519, 2142, 564, 548, 693, 476, 6344, 5998, 10774, 888, 273, 269, 1548, 568, 519, 5223, 540, 519, 2698, 15452, 1648, 5950, 538, 513, 2407, 2212, 6823, 16580, 630, 14310, 532, 538, 606, 7525, 1796, 560, 650, 264, 1063, 1079, 6517, 1312, 693, 476, 9610, 5998, 10774, 543, 1079, 6517, 1312, 693, 476, 6344, 5998, 10774, 888, 274, 269, 634, 2229, 14962, 525, 519, 11685, 261, 3464, 638, 657, 1843, 687, 593, 3106, 676, 17548, 602, 593, 519, 19814, 267, 782, 6517, 1847, 538, 519, 1482, 4287, 630, 641, 22683, 4287, 28961, 616, 1134, 9674, 1070, 865, 952, 789, 782, 1847, 693, 476, 9610, 5998, 10774, 267, 621, 1131, 581, 1175, 607, 2922, 607, 782, 693, 476, 6344, 5998, 10774, 269, 634, 11685, 1287, 2798, 856, 602, 4881, 513, 2142, 564, 548, 630, 29006, 616, 1869, 1472, 264, 693, 476, 6344, 5998, 10774, 568, 2907, 4101, 267, 865, 972, 1131, 581, 3432, 3604, 1063, 18960, 543, 4587, 6517, 269, 634, 2229, 6811, 602, 519, 476, 736, 5998, 10774, 3017, 4465, 261, 3464, 638, 582, 2339, 267, 607, 5693, 1256, 513, 2142, 564, 548, 666, 7639, 513, 476, 736, 5998, 10774, 16580, 269, 11512, 1946, 741, 4661, 568, 23380, 780, 274, 269, 276, 17437, 12760, 267, 519, 1184, 602, 7060, 519, 6129, 267, 4386, 950, 1079, 1970, 2173, 817, 10570, 22140, 25146, 1927, 547, 1118, 513, 3677, 13540, 267, 16089, 8101, 1648, 269, 674, 4288, 568, 2182, 547, 3035, 1317, 10570, 22140, 4163, 2318, 3167, 5279, 267, 543, 741, 5122, 1065, 13955, 2306, 621, 2352, 547, 1205, 873, 2673, 2614, 585, 519, 2110, 24365, 6046, 3196, 547, 12622, 873, 883, 513, 2582, 13540, 269, 634, 4137, 2630, 2982, 519, 1761, 20589, 7455, 585, 12760, 540, 1079, 632, 17458, 976, 630, 515, 8283, 7250, 22140, 267, 9967, 540, 513, 23442, 543, 513, 23377, 1040, 763, 1648, 568, 6027, 538, 2929, 6475, 24311, 16733, 9288, 309, 267, 476, 272, 552, 309, 284, 272, 269, 277, 524, 25346, 476, 1015, 317, 26013, 866, 285, 297, 24270, 513, 1770, 4122, 1031, 538, 6046, 6323, 267, 543, 519, 9668, 568, 538, 3185, 339, 18852, 16733, 272, 535, 332, 284, 1015, 317, 26013, 1428, 285, 332, 4297, 780, 272, 269, 4855, 519, 2990, 4433, 264, 630, 604, 1022, 264, 693, 799, 519, 3196, 1063, 1079, 632, 17458, 976, 568, 4642, 563, 273, 269, 4855, 519, 15452, 1648, 1079, 7620, 4922, 9674, 632, 17458, 976, 991, 547, 723, 547, 1205, 2673, 2614, 547, 25146, 563, 274, 269, 634, 1648, 2139, 538, 12760, 568, 519, 1648, 3017, 1063, 602, 540, 4922, 9674, 632, 17458, 976, 543, 519, 3808, 632, 583, 6425, 1310, 789, 261, 3464, 638, 913, 1299, 3149, 638, 1993, 718, 523, 261, 3464, 31309, 883, 519, 2620, 1761, 1134, 3254, 538, 519, 4137, 269, 6168, 875, 2462, 568, 602, 1648, 888, 275, 269, 14419, 2436, 519, 3196, 1063, 1079, 632, 17458, 976, 602, 616, 476, 275, 535, 332, 6306, 568, 1065, 14601, 267, 10694, 267, 610, 4642, 780, 274, 269, 277, 589, 25190, 517, 538, 8184, 2833, 513, 8749, 3196, 1813, 547, 2011, 4187, 2016, 5111, 676, 630, 293, 284, 321, 341, 317, 273, 1070, 1141, 642, 568, 519, 8184, 3432, 543, 536, 568, 513, 3586, 780, 272, 269, 1548, 616, 519, 4559, 540, 536, 888, 273, 269, 1548, 568, 519, 4102, 2009, 3432, 540, 519, 25190, 517, 952, 922, 5021, 1379, 3977, 568, 623, 888, 274, 269, 1635, 1018, 3815, 1281, 519, 4102, 2009, 3432, 2333, 952, 519, 5021, 1379, 3977, 568, 23060, 454, 272, 269, 1280, 799, 1871, 4433, 264, 540, 519, 6724, 630, 10401, 267, 476, 452, 9508, 267, 970, 2999, 543, 3436, 24472, 264, 568, 519, 3196, 2016, 676, 1496, 452, 9529, 28248, 284, 3847, 3287, 317, 2999, 274, 285, 344, 317, 283, 274, 285, 266, 10401, 1990, 317, 283, 273, 285, 267, 476, 452, 9508, 1535, 317, 2999, 275, 285, 344, 317, 283, 273, 285, 267, 18325, 1535, 1990, 476, 697, 13580, 15061, 888, 273, 269, 4855, 519, 3196, 585, 519, 1761, 1648, 2016, 676, 630, 308, 3287, 11971, 267, 345, 6661, 2765, 1922, 2350, 6393, 274, 269, 279, 589, 1448, 2527, 568, 4448, 547, 1079, 6587, 6821, 676, 1079, 20950, 267, 607, 3254, 538, 519, 4137, 269, 634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 565, 7701, 4354, 26385, 267, 16628, 540, 21989, 5549, 269, 540, 26609, 849, 6719, 21989, 5549, 269, 540, 26609, 607, 4891, 585, 519, 2680, 563, 7804, 2441, 2088, 24380, 1961, 330, 689, 2997, 1014, 670, 13273, 729, 849, 851, 540, 519, 2475, 2319, 602, 6462, 519, 2680, 269, 0, 303, 600, 592, 777, 14390, 328, 10469, 330, 1092, 23902, 553, 574, 3873, 14780, 665, 2174, 21671, 1634, 607, 14346, 23902, 553, 574, 3873, 14780, 578, 553, 513, 7986, 4095, 15818, 267, 22267, 543, 2829, 2006, 945, 6039, 607, 476, 280, 628, 11788, 10579, 540, 3127, 3245, 3245, 476, 1960, 272, 547, 476, 1960, 277, 269, 4535, 693, 4873, 476, 2764, 267, 476, 4572, 272, 267, 538, 700, 752, 333, 788, 718, 328, 8498, 267, 2782, 836, 531, 8664, 267, 1459, 1554, 20052, 836, 3570, 3891, 9782, 547, 23146, 585, 1010, 4105, 1909, 538, 3056, 3127, 998, 1713, 2804, 543, 2797, 14759, 563, 11901, 23902, 553, 574, 3873, 681, 7776, 1107, 6206, 19672, 454, 347, 14630, 540, 4332, 281, 476, 2764, 4873, 476, 4572, 272, 454, 347, 19689, 1747, 281, 700, 752, 333, 788, 718, 328, 267, 5754, 1457, 21171, 3557, 267, 3703, 3127, 454, 347, 335, 11823, 5428, 281, 4095, 2817, 6837, 454, 347, 2889, 325, 11970, 281, 4521, 9807, 267, 7971, 6509, 267, 27752, 454, 347, 5719, 987, 281, 2537, 628, 2273, 5412, 476, 1220, 275, 454, 347, 2897, 540, 2669, 281, 1715, 16156, 267, 3127, 454, 11901, 23902, 553, 574, 3873, 681, 7776, 1107, 7216, 5020, 543, 4065, 454, 11901, 23902, 553, 574, 3873, 681, 7776, 729, 4535, 20052, 30253, 715, 12011, 690, 328, 23347, 2381, 7731, 543, 729, 7550, 676, 31656, 592, 777, 14390, 328, 681, 18553, 681, 7776, 543, 681, 4157, 2381, 10397, 693, 513, 1762, 2085, 267, 1261, 22002, 1010, 2069, 29367, 267, 11264, 1010, 3119, 2069, 538, 1585, 14252, 543, 13844, 513, 4487, 779, 4110, 538, 1876, 674, 1120, 1380, 517, 5441, 538, 623, 2317, 267, 1261, 729, 851, 540, 519, 4095, 7115, 3350, 543, 2663, 8362, 15548, 538, 519, 966, 663, 324, 4223, 541, 600, 3350, 476, 4350, 271, 338, 2676, 303, 11823, 4876, 540, 31656, 592, 777, 14390, 328, 10469, 330, 1092, 23902, 553, 574, 3873, 681, 7776, 454, 305, 7776, 779, 2797, 3460, 3459, 1310, 3127, 6591, 7115, 607, 513, 4759, 540, 4095, 2817, 6837, 269, 1261, 6039, 538, 1585, 14012, 658, 7158, 1656, 31137, 21423, 6554, 1656, 9782, 547, 23146, 585, 632, 1111, 569, 7829, 3309, 2823, 31987, 693, 1312, 519, 1533, 543, 3084, 2157, 269, 681, 7776, 779, 2797, 1035, 18210, 543, 11889, 1983, 3366, 547, 1010, 13393, 12751, 10579, 540, 1656, 31137, 21423, 538, 476, 3192, 272, 8489, 646, 8045, 1271, 2244, 15024, 543, 17956, 2797, 6041, 585, 519, 2539, 5641, 525, 563, 14367, 26022, 729, 513, 16588, 540, 12057, 267, 700, 758, 17939, 3873, 306, 1177, 1864, 8066, 1271, 14012, 658, 9708, 538, 519, 19970, 1115, 540, 1312, 1473, 4275, 19413, 543, 14076, 643, 19413, 267, 8720, 1753, 267, 8878, 543, 4914, 12602, 267, 6736, 3592, 1427, 3931, 689, 6214, 476, 1960, 272, 305, 1690, 643, 19413, 779, 26923, 7142, 1864, 547, 2132, 267, 1818, 1010, 26022, 607, 11788, 10579, 8978, 563, 28269, 10579, 658, 26022, 540, 14346, 23902, 553, 574, 3873, 681, 7776, 454, 11901, 23902, 553, 574, 3873, 681, 7776, 779, 26022, 11788, 10579, 689, 476, 1960, 272, 547, 476, 1960, 277, 589, 1974, 540, 14021, 2804, 543, 20320, 15024, 3459, 538, 3127, 269, 6849, 835, 634, 31587, 2804, 6433, 538, 476, 1960, 272, 267, 3571, 2229, 5189, 27789, 12666, 1436, 3800, 6322, 693, 14874, 519, 25516, 12689, 986, 329, 543, 6679, 3127, 779, 4346, 547, 4914, 5092, 563, 15152, 681, 7776, 779, 5718, 267, 3127, 4718, 1713, 15024, 538, 3854, 6990, 267, 4123, 6042, 543, 4914, 5092, 4507, 269, 741, 9316, 16010, 10579, 2494, 332, 2129, 534, 19453, 623, 8491, 519, 1259, 585, 3127, 779, 14051, 3646, 543, 5280, 4688, 519, 2197, 689, 519, 1490, 1074, 540, 2804, 12900, 563, 11901, 23902, 553, 574, 3873, 681, 7776, 1107, 9483, 1234, 13257, 454, 305, 7776, 779, 2804, 4507, 5059, 593, 4227, 16642, 17211, 267, 3051, 520, 1944, 1857, 9922, 543, 5009, 5092, 538, 5989, 269, 3571, 26022, 4718, 519, 12666, 1436, 540, 4123, 4507, 543, 513, 8101, 2333, 538, 4914, 5092, 269, 19372, 618, 540, 2817, 14351, 16510, 2676, 26765, 2329, 540, 14346, 23902, 553, 574, 3873, 681, 7776, 454, 8601, 6849, 9880, 543, 2797, 2591, 267, 681, 7776, 779, 9371, 607, 519, 4056, 540, 3127, 779, 2804, 12666, 1436, 3788, 30170, 269, 898, 7153, 1282, 1010, 26022, 32038, 10620, 5984, 3967, 1092, 9549, 630, 289, 297, 303, 264, 607, 513, 23773, 2797, 4781, 543, 1305, 519, 3942, 585, 2104, 2804, 15024, 896, 7766, 6608, 563, 11901, 23902, 553, 574, 3873, 681, 7776, 1107, 2663, 1272, 454, 5475, 1427, 3931, 689, 3084, 6214, 267, 14346, 23902, 553, 574, 3873, 681, 7776, 7283, 3742, 538, 5339, 2238, 267, 13629, 1010, 26249, 267, 968, 11900, 3187, 267, 799, 9356, 1010, 2833, 538, 6214, 269, 1261, 5185, 2883, 7965, 538, 1010, 2663, 1296, 855, 4797, 547, 581, 15197, 585, 1010, 7418, 547, 4095, 10350, 543, 23372, 563, 5719, 987, 540, 14346, 23902, 553, 574, 3873, 681, 7776, 454, 305, 7776, 5747, 593, 476, 2537, 5412, 476, 1220, 275, 538, 1715, 16156, 1421, 6028, 3297, 513, 3638, 9371, 540, 2804, 7004, 543, 2797, 5718, 269, 3571, 24133, 729, 13984, 676, 14064, 527, 2456, 689, 2066, 519, 2797, 8552, 267, 25967, 1681, 519, 7839, 6284, 540, 1010, 1713, 9295, 547, 4095, 2486, 563, 11901, 23902, 553, 574, 3873, 681, 7776, 1107, 22684, 543, 23779, 454, 11901, 23902, 553, 574, 3873, 681, 7776, 779, 1298, 32418, 16873, 538, 476, 1708, 271, 543, 1585, 27367, 1568, 723, 8774, 1769, 593, 1010, 9434, 3310, 4095, 6214, 543, 9297, 267, 6736, 6849, 2591, 543, 27900, 1282, 1010, 26022, 267, 681, 7776, 779, 1909, 538, 8744, 2804, 15024, 543, 3056, 3127, 2509, 14051, 568, 4922, 17019, 563, 14367, 2702, 547, 4308, 609, 1950, 2797, 7653, 543, 2936, 13710, 4507, 814, 12236, 1864, 17192, 607, 835, 540, 3127, 779, 1034, 9565, 14761, 269, 634, 9371, 540, 14346, 23902, 553, 574, 3873, 681, 7776, 786, 3136, 547, 8300, 2104, 5481, 540, 3401, 543, 2611, 606, 7533, 851, 540, 519, 1650, 540, 3127, 779, 2804, 3356, 543, 2797, 1646, 563, 11901, 23902, 553, 574, 3873, 681, 7776, 1107, 22952, 454, 11901, 23902, 553, 574, 3873, 681, 7776, 28165, 32038, 520, 13158, 3534, 593, 476, 280, 5988, 476, 1708, 275, 339, 6320, 609, 2398, 520, 756, 3873, 12653, 20321, 17151, 8135, 19793, 22777, 13815, 269, 681, 7776, 779, 32038, 520, 13158, 3534, 9930, 1588, 4607, 1489, 689, 1585, 2797, 5515, 269, 20052, 836, 3570, 12751, 10579, 918, 269, 25941, 6652, 515, 330, 9618, 681, 7776, 543, 645, 297, 303, 6205, 4427, 1090, 534, 1014, 4210, 18081, 267, 6736, 11788, 10579, 2494, 332, 2129, 534, 19453, 779, 7287, 547, 8956, 681, 7776, 609, 519, 32038, 520, 13158, 3534, 1282, 1010, 26022, 267, 713, 1223, 711, 4755, 269, 769, 5181, 476, 1708, 271, 307, 601, 836, 3570, 13909, 5293, 513, 6571, 14957, 543, 11021, 32038, 520, 13158, 3534, 585, 681, 7776, 269, 4657, 519, 2012, 540, 2160, 540, 5754, 1457, 21171, 538, 1010, 22632, 563, 30131, 2055, 1644, 547, 981, 454, 304, 272, 269, 5808, 729, 14346, 23902, 553, 574, 3873, 681, 7776, 888, 304, 273, 269, 1215, 729, 519, 2038, 1272, 543, 2069, 540, 14346, 23902, 553, 574, 3873, 681, 7776, 888, 304, 274, 269, 1548, 17758, 543, 26549, 729, 2016, 547, 14346, 23902, 553, 574, 3873, 681, 7776, 267, 543, 1018, 2797, 1489, 1705, 646, 4309, 585, 1010, 32038, 520, 13158, 3534, 9930, 1588, 888, 304, 275, 269, 1548, 941, 519, 2101, 2804, 15024, 5189, 676, 14346, 23902, 553, 574, 3873, 681, 7776, 888, 13425, 707, 1702, 543, 2119, 547, 2626, 519, 2055, 538, 519, 6085, 3296, 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 ]
[ 543, 547, 1174, 519, 3123, 540, 971, 2623, 267, 621, 568, 2556, 547, 5659, 693, 2547, 476, 273, 268, 274, 5013, 630, 300, 10212, 1695, 543, 18578, 11252, 267, 476, 1001, 279, 1040, 901, 3069, 568, 849, 1572, 519, 3069, 540, 2789, 2188, 267, 607, 621, 2798, 547, 519, 30846, 540, 2621, 3056, 547, 7803, 2623, 563, 6097, 547, 519, 3069, 540, 2175, 267, 972, 616, 2141, 6411, 602, 798, 711, 2014, 4539, 269, 634, 6760, 786, 1869, 581, 2944, 952, 789, 616, 16934, 689, 519, 24402, 1642, 1112, 328, 269, 634, 4540, 1523, 540, 519, 2556, 2783, 20964, 519, 13766, 540, 14335, 513, 2790, 4603, 540, 17181, 630, 601, 574, 1588, 264, 547, 13182, 519, 9525, 540, 519, 957, 538, 519, 4539, 630, 9377, 12661, 267, 476, 1001, 279, 1040, 898, 568, 5156, 602, 713, 21040, 519, 6662, 4493, 540, 7803, 5539, 267, 855, 621, 568, 1869, 2556, 547, 2015, 713, 3069, 563, 17780, 593, 519, 2164, 267, 649, 666, 9959, 602, 1004, 779, 3119, 11095, 2619, 540, 7803, 2623, 568, 1759, 593, 741, 8226, 540, 519, 1604, 269, 4340, 547, 25349, 3069, 267, 12153, 543, 606, 1799, 7394, 2916, 1404, 513, 1909, 269, 634, 5042, 15515, 24173, 3069, 8711, 519, 8226, 540, 835, 779, 2623, 538, 519, 2796, 540, 1915, 7592, 630, 17595, 14527, 267, 24431, 3469, 640, 1040, 634, 5042, 15515, 24173, 3069, 2798, 547, 519, 4763, 540, 2175, 602, 1291, 547, 6309, 514, 1275, 563, 289, 4669, 267, 595, 269, 670, 269, 630, 1708, 271, 264, 2048, 20236, 20820, 543, 6760, 281, 3564, 717, 2714, 15728, 5459, 543, 670, 15077, 14024, 779, 7869, 8730, 16316, 5623, 540, 595, 3234, 11659, 267, 476, 274, 263, 272, 1070, 6032, 269, 476, 6246, 1700, 10463, 563, 9377, 12661, 267, 631, 269, 630, 1001, 279, 264, 2048, 2304, 558, 773, 267, 8833, 267, 543, 4316, 2497, 281, 7917, 918, 269, 631, 30639, 779, 17565, 540, 1821, 5050, 2623, 8730, 538, 10222, 921, 1777, 267, 681, 269, 589, 269, 630, 2644, 12175, 634, 18361, 540, 519, 3778, 543, 6138, 540, 6309, 11659, 269, 5689, 6577, 267, 10790, 281, 25067, 5174, 331, 871, 6202, 267, 6032, 269, 476, 9610, 268, 14028, 563, 300, 321, 1168, 340, 267, 594, 1421, 5136, 1470, 3873, 267, 661, 269, 661, 269, 543, 631, 1872, 926, 267, 594, 269, 630, 1708, 272, 264, 18964, 543, 1167, 15758, 2188, 547, 6760, 8989, 538, 3162, 4000, 281, 513, 5619, 540, 7264, 685, 6760, 8989, 2623, 538, 631, 628, 24048, 3162, 4000, 7128, 3028, 3348, 3307, 8730, 595, 690, 550, 4317, 7070, 267, 476, 278, 263, 272, 1916, 300, 10212, 1695, 267, 681, 269, 543, 18578, 11252, 267, 918, 269, 589, 269, 630, 1001, 279, 264, 2048, 763, 1559, 540, 6760, 543, 5208, 8730, 538, 18299, 523, 3354, 538, 5824, 3013, 281, 5013, 543, 5515, 269, 21586, 632, 13191, 10098, 281, 594, 3258, 1901, 4659, 267, 6032, 269, 476, 2420, 1700, 5379, 563, 303, 761, 3832, 1777, 267, 590, 269, 543, 7720, 11839, 267, 918, 269, 630, 1708, 273, 264, 2048, 4692, 1514, 7554, 543, 1514, 1565, 6436, 948, 2491, 9097, 10795, 17119, 1143, 286, 8730, 29735, 4750, 540, 595, 3234, 11659, 267, 476, 2537, 263, 272, 1070, 6032, 269, 476, 10695, 268, 6200, 563, 19913, 8705, 10045, 267, 681, 269, 543, 6154, 985, 577, 267, 623, 269, 589, 269, 630, 1708, 271, 264, 22226, 267, 1480, 1646, 267, 543, 2528, 269, 5507, 281, 30296, 563, 1320, 6702, 7236, 267, 715, 269, 918, 269, 1696, 620, 269, 630, 1708, 272, 264, 2048, 763, 3095, 1063, 1367, 7209, 7592, 543, 6309, 514, 1275, 281, 513, 9836, 2689, 8730, 4139, 4750, 540, 7025, 3194, 543, 5398, 2657, 267, 476, 1240, 263, 1626, 1040, 0, 2467, 616, 865, 1082, 2165, 514, 3098, 649, 2097, 2066, 1247, 2324, 538, 519, 10509, 2361, 269, 10871, 10676, 568, 835, 540, 873, 269, 901, 568, 606, 1271, 2165, 950, 649, 2015, 938, 2780, 1062, 607, 513, 851, 540, 930, 3060, 269, 769, 713, 2376, 267, 596, 786, 1451, 1018, 568, 2199, 10676, 538, 513, 2780, 3060, 267, 922, 29782, 607, 1134, 607, 922, 721, 1137, 563, 1432, 568, 10871, 10676, 888, 1103, 8950, 8416, 267, 2199, 10676, 568, 519, 7746, 4867, 13234, 676, 519, 3593, 269, 769, 824, 1913, 267, 2199, 10676, 6920, 519, 3593, 779, 1378, 2780, 269, 11910, 532, 519, 2199, 10676, 13462, 519, 7746, 547, 3294, 3079, 540, 1818, 14379, 609, 824, 5904, 538, 519, 3060, 269, 1280, 1022, 7746, 267, 519, 4276, 7662, 547, 968, 14096, 269, 271, 269, 271, 269, 272, 892, 610, 2199, 10676, 786, 581, 2366, 1394, 547, 519, 7746, 3294, 563, 10376, 3926, 593, 513, 3060, 814, 513, 2189, 10230, 2232, 547, 3715, 3811, 4296, 1369, 519, 3060, 269, 901, 2232, 568, 1572, 519, 7379, 2232, 610, 267, 5769, 16257, 17372, 1317, 621, 3096, 519, 5769, 16257, 585, 2792, 269, 898, 6087, 721, 547, 2697, 543, 12398, 513, 3984, 538, 513, 3060, 269, 634, 1079, 1292, 6688, 540, 7379, 9607, 616, 7379, 341, 275, 543, 7379, 341, 277, 269, 634, 15007, 568, 547, 2328, 891, 9607, 538, 2185, 610, 5216, 5036, 540, 2338, 9674, 676, 15956, 263, 28593, 1432, 568, 31230, 3724, 888, 299, 17274, 3724, 568, 513, 2165, 602, 4016, 547, 9591, 513, 4276, 547, 519, 1482, 2780, 689, 799, 519, 4276, 729, 16761, 269, 898, 3096, 513, 5691, 3060, 8818, 547, 1118, 971, 4296, 269, 901, 8520, 3724, 8818, 568, 8655, 547, 519, 11603, 968, 14096, 269, 271, 269, 271, 269, 272, 892, 7379, 2232, 585, 1169, 7746, 269, 4746, 1634, 607, 2199, 10676, 267, 950, 930, 1239, 568, 2366, 547, 519, 968, 14096, 269, 271, 269, 271, 269, 272, 892, 7379, 2232, 621, 568, 10299, 547, 519, 3593, 779, 1378, 3684, 269, 898, 568, 606, 1898, 1907, 585, 3060, 4152, 543, 1646, 563, 22998, 11115, 1143, 540, 10871, 10676, 454, 1103, 2780, 5121, 2792, 568, 519, 2596, 5057, 269, 1284, 917, 519, 7379, 9607, 540, 3457, 2139, 593, 930, 5121, 616, 3743, 585, 2679, 4296, 538, 513, 3060, 1062, 269, 1452, 7379, 9607, 2951, 1369, 519, 1239, 21168, 2366, 543, 4607, 1063, 1079, 13763, 269, 16270, 2357, 4328, 519, 5551, 9607, 689, 891, 21168, 513, 1697, 4276, 568, 3710, 563, 763, 2199, 10676, 1568, 538, 513, 2147, 6073, 4849, 585, 519, 1239, 1590, 581, 2366, 547, 519, 7379, 2232, 968, 14096, 269, 271, 269, 271, 269, 272, 6100, 1879, 513, 4276, 568, 1500, 609, 519, 2199, 10676, 267, 519, 7662, 568, 4464, 539, 547, 519, 8520, 3724, 8818, 799, 11507, 13668, 547, 519, 2199, 7746, 269, 634, 2199, 3684, 26342, 519, 7662, 543, 15920, 1394, 513, 3210, 547, 519, 3593, 1586, 1210, 519, 8520, 3724, 8818, 269, 9747, 267, 513, 1697, 4276, 1063, 519, 7746, 547, 3294, 4991, 3964, 563, 308, 4513, 540, 10871, 10676, 454, 763, 2199, 10676, 814, 2789, 5301, 269, 898, 814, 513, 2647, 2039, 540, 3156, 538, 519, 4152, 543, 1646, 540, 3060, 2533, 269, 594, 723, 4330, 930, 540, 519, 7928, 3096, 2630, 563, 288, 269, 8416, 1299, 17726, 13281, 454, 5825, 619, 666, 1449, 741, 2780, 3060, 1510, 1022, 2186, 540, 4950, 4276, 269, 2353, 835, 814, 547, 6494, 513, 7662, 547, 519, 2199, 10676, 543, 6895, 519, 4276, 10305, 269, 1635, 5464, 519, 6771, 513, 3593, 666, 2327, 602, 519, 1062, 568, 2324, 5265, 269, 20305, 666, 849, 1449, 519, 3432, 540, 519, 13668, 1510, 519, 4950, 689, 713, 2792, 563, 289, 269, 5680, 13335, 270, 25284, 13281, 454, 16158, 9367, 666, 946, 519, 2199, 10676, 607, 513, 4152, 1907, 585, 741, 3156, 269, 3763, 619, 1590, 14202, 741, 3498, 6119, 593, 519, 3103, 13996, 547, 1628, 513, 3896, 269, 1809, 1510, 1022, 1483, 6066, 1449, 4687, 891, 2200, 666, 581, 5739, 269, 634, 2199, 10676, 8309, 547, 519, 1483, 6066, 4152, 540, 1357, 3156, 269, 3763, 619, 666, 3984, 519, 3896, 6119, 593, 741, 1062, 543, 1118, 873, 2139, 3842, 2199, 10676, 269, 3973, 267, 17034, 519, 2199, 10676, 689, 519, 1062, 779, 11422, 6087, 519, 9367, 547, 1995, 2661, 3896, 4152, 1510, 4687, 519, 6119, 609, 519, 3544, 1158, 563, 290, 269, 13505, 2349, 12177, 454, 763, 2199, 10676, 666, 3625, 519, 3060, 689, 10024, 13311, 7270, 269, 769, 2489, 267, 1062, 8098, 1231, 946, 519, 8520, 3724, 547, 3247, 519, 1062, 689, 8220, 547, 5739, 543, 11658, 4609, 269, 769, 513, 1880, 7746, 267, 789, 1689, 519, 7379, 2232, 540, 519, 11658, 3135, 547, 7379, 2232, 968, 14096, 269, 271, 269, 271, 269, 272, 6100, 901, 11507, 519, 4276, 1394, 547, 519, 1062, 543, 7161, 621, 689, 10024, 519, 17351, 3135, 563, 7078, 281, 13281, 10871, 18218, 454, 306, 2056, 513, 533, 532, 7662, 547, 2199, 10676, 596, 666, 3715, 543, 2638, 519, 3060, 593, 707, 1062, 269, 1280, 713, 267, 596, 666, 946, 519, 2199, 10676, 20438, 610, 519, 7379, 2232, 968, 14096, 269, 271, 269, 271, 269, 272, 892, 2059, 609, 519, 533, 532, 4971, 269, 7427, 519, 5528, 2630, 547, 2347, 519, 4305, 563, 3721, 338, 547, 7427, 28825, 414, 508, 488, 2311, 1101, 267, 979, 547, 519, 29974, 31583, 12910, 1400, 563, 414, 508, 489, 7392, 1022, 540, 519, 1739, 12981, 538, 519, 4971, 5401, 912, 414, 508, 490, 4964, 13673, 9898, 563, 1103, 519, 2016, 3239, 267, 596, 666, 1294, 602, 594, 723, 10268, 1585, 10305, 540, 519, 2199, 3060, 269, 1452, 10305, 1331, 1239, 17142, 2450, 267, 6771, 942, 267, 3092, 585, 3432, 4152, 269, 769, 713, 2034, 3239, 267, 596, 666, 1294, 519, 1482, 3977, 607, 519, 3105, 3239, 269, 1809, 1934, 594, 1031, 519, 7379, 2232, 968, 14096, 269, 271, 269, 271, 269, 272, 9731, 1103, 713, 2376, 267, 594, 723, 11609, 519, 1523, 540, 519, 2199, 10676, 2059, 609, 519, 2596, 2093, 540, 7379, 9607, 543, 31230, 3724, 269, 898, 568, 513, 1713, 4480, 602, 2636, 9367, 543, 1062, 8098, 1231, 547, 1449, 543, 5150, 519, 2780, 3060, 789, 7500, 593, 269, 5047, 267, 621, 568, 513, 4105, 1907, 585, 1357, 9367, 607, 1134, 269, 594, 4126, 1565, 519, 9238, 540, 2199, 10676, 786, 2087, 707, 3460, 538, 519, 6639, 2361, 269, 0, 4263, 513, 6288, 267, 519, 13472, 568, 476, 276, 7397, 7532, 540, 519, 23638, 269, 6931, 568, 7555, 476, 274, 7397, 2476, 689, 519, 13472, 269, 8571, 513, 6516, 540, 519, 3510, 1519, 513, 1747, 1141, 6931, 1223, 581, 563, 263, 272, 4700, 1215, 2484, 2476, 689, 519, 23638, 568, 6931, 538, 707, 6516, 888, 263, 273, 4700, 7316, 616, 930, 824, 4025, 6931, 1223, 581, 888, 263, 272, 4700, 3657, 972, 1022, 824, 13080, 602, 1223, 581, 1031, 585, 519, 3791, 2427, 540, 519, 6906, 855, 5749, 1406, 2418, 540, 519, 1793, 11107, 888, 263, 273, 4700, 3657, 972, 1022, 13080, 602, 616, 2418, 540, 519, 1793, 11107, 855, 1223, 711, 581, 1031, 607, 519, 3791, 2427, 540, 519, 6906, 888, 263, 274, 4700, 32114, 596, 1185, 1569, 547, 17446, 540, 1022, 3259, 267, 543, 596, 1031, 519, 476, 280, 20878, 543, 476, 276, 20878, 17446, 607, 519, 1101, 1079, 5011, 267, 2347, 519, 5220, 912, 5416, 4700, 634, 3791, 2427, 666, 1406, 581, 13322, 6279, 610, 3476, 563, 6357, 4700, 634, 3791, 2427, 666, 1406, 581, 13322, 6279, 610, 10156, 563, 19352, 532, 513, 21121, 609, 9717, 17121, 700, 9975, 563, 2171, 3580, 2263, 513, 1505, 585, 5373, 513, 6906, 602, 814, 1614, 1808, 2427, 13080, 269, 2422, 519, 813, 2280, 547, 2626, 519, 2055, 2630, 563, 10287, 891, 5528, 547, 1665, 519, 2009, 1439, 9557, 540, 835, 2427, 912, 2690, 1631, 267, 11716, 10126, 589, 595, 2073, 519, 476, 274, 20878, 2427, 3259, 593, 519, 2451, 2427, 269, 2913, 10126, 645, 667, 581, 519, 476, 274, 15492, 2427, 3259, 593, 519, 1318, 2427, 563, 263, 272, 4700, 1548, 3337, 723, 596, 6537, 1247, 3001, 645, 667, 1472, 286, 4208, 286, 6904, 1907, 538, 707, 9511, 32367, 666, 798, 1945, 1138, 559, 3511, 888, 263, 273, 4700, 1548, 798, 596, 5469, 888, 1103, 519, 6516, 267, 519, 3259, 540, 10126, 9474, 568, 476, 1015, 4559, 543, 519, 8953, 540, 519, 5858, 10704, 693, 589, 568, 476, 275, 4559, 269, 2422, 713, 547, 1711, 1079, 2189, 12730, 267, 1142, 609, 513, 2427, 540, 3259, 476, 1015, 543, 513, 2427, 540, 3259, 476, 275, 269, 22443, 519, 5011, 602, 723, 3259, 476, 1015, 543, 476, 275, 563, 2080, 616, 1079, 3270, 1500, 1210, 9838, 32077, 4926, 269, 9453, 1210, 513, 1486, 847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1225, 815, 1921, 4590, 825, 1225, 20216, 31146, 263, 684, 11357, 18285, 318, 638, 2044, 267, 630, 12528, 16182, 267, 3593, 17750, 4917, 825, 1267, 815, 1225, 8807, 21255, 718, 4590, 825, 952, 7003, 31114, 264, 2652, 476, 271, 912, 1038, 1820, 2891, 293, 19691, 281, 14871, 15079, 1281, 711, 723, 17979, 15079, 610, 17979, 3085, 1405, 2291, 2668, 8971, 263, 12528, 16182, 267, 3593, 17750, 4917, 825, 3116, 912, 1038, 1820, 2891, 27165, 15079, 6707, 5667, 889, 30533, 539, 607, 15079, 2668, 8971, 263, 12528, 16182, 267, 3593, 17750, 4917, 825, 598, 333, 2593, 2466, 4590, 825, 16718, 263, 935, 333, 267, 1225, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 8421, 514, 4590, 825, 1948, 2958, 3563, 4590, 825, 1948, 14142, 318, 2421, 318, 691, 626, 4590, 825, 1948, 4289, 5334, 29330, 4590, 825, 1948, 338, 784, 5091, 564, 841, 4590, 825, 1948, 2452, 318, 11437, 3488, 1067, 287, 326, 21166, 2593, 5073, 825, 1592, 318, 2452, 29812, 3488, 330, 330, 330, 287, 11277, 2593, 5073, 825, 1948, 22056, 318, 2452, 4289, 3488, 330, 330, 330, 287, 11277, 2593, 5073, 825, 1948, 5417, 15461, 318, 2452, 4289, 3488, 330, 330, 330, 287, 11277, 2593, 5073, 825, 1948, 24525, 318, 5228, 318, 2452, 4289, 3488, 330, 330, 330, 287, 11277, 2593, 5073, 0, 12163, 299, 657, 3611, 657, 632, 1303, 2784, 320, 512, 1329, 523, 1714, 521, 580, 340, 1304, 324, 3898, 334, 1384, 825, 3288, 2215, 5028, 561, 6403, 12795, 733, 1329, 324, 715, 910, 3288, 18085, 21059, 632, 1130, 2803, 513, 2040, 541, 3248, 825, 3288, 5302, 1495, 320, 561, 6403, 12795, 733, 1329, 324, 17485, 1130, 2803, 715, 4412, 328, 3512, 324, 780, 17442, 1365, 340, 652, 320, 632, 828, 6403, 534, 733, 10273, 796, 3331, 374, 333, 4815, 27089, 910, 3288, 2040, 320, 632, 17485, 715, 1130, 2803, 563, 12163, 11133, 5334, 20783, 815, 703, 9272, 2891, 28808, 516, 572, 17485, 6746, 657, 513, 2040, 541, 281, 8442, 2020, 333, 10179, 657, 815, 1496, 280, 2537, 267, 278, 3953, 267, 280, 8618, 267, 277, 1556, 267, 4366, 279, 267, 13040, 276, 267, 276, 1240, 267, 3199, 278, 267, 13647, 271, 267, 279, 6858, 267, 15686, 279, 267, 5325, 274, 267, 30589, 267, 14093, 277, 267, 10755, 279, 267, 476, 1220, 267, 476, 7742, 267, 476, 276, 1691, 267, 476, 11277, 279, 267, 476, 277, 6434, 267, 476, 279, 1839, 267, 476, 23884, 267, 476, 12208, 273, 267, 476, 278, 7830, 267, 476, 12553, 278, 267, 476, 276, 5038, 267, 476, 277, 1321, 267, 476, 25228, 267, 476, 279, 1015, 267, 476, 15782, 279, 267, 476, 15782, 273, 267, 476, 28242, 267, 476, 278, 1789, 267, 476, 4817, 273, 267, 476, 9818, 275, 267, 476, 6344, 279, 267, 476, 278, 2767, 267, 476, 25172, 267, 476, 278, 1428, 267, 476, 4649, 277, 267, 476, 8099, 280, 267, 476, 277, 1724, 267, 476, 9083, 271, 267, 476, 31172, 267, 476, 275, 4200, 267, 476, 278, 4281, 2639, 785, 823, 476, 815, 476, 272, 454, 604, 1003, 5334, 20783, 2525, 5379, 912, 825, 1247, 630, 785, 823, 2999, 7003, 3799, 10179, 657, 15892, 1038, 1267, 5964, 815, 2040, 3799, 10179, 657, 994, 1038, 967, 823, 23785, 272, 454, 825, 1820, 31114, 5964, 9239, 12828, 912, 825, 1820, 2891, 14976, 27089, 3824, 637, 5964, 1100, 5330, 601, 334, 6446, 694, 683, 806, 7534, 23528, 0, 5814, 556, 454, 3698, 1265, 19617, 30415, 2187, 825, 4806, 815, 556, 2593, 335, 850, 16868, 257, 315, 323, 266, 5602, 825, 759, 815, 556, 26098, 718, 263, 6312, 1181, 267, 5569, 994, 825, 585, 1297, 538, 759, 912, 1038, 7003, 10831, 815, 7003, 28840, 994, 1038, 952, 7003, 10831, 2652, 476, 1556, 912, 2018, 1820, 28840, 2020, 11415, 8266, 815, 22373, 553, 1470, 325, 333, 1993, 476, 11277, 27174, 4281, 280, 1556, 513, 327, 1695, 21036, 476, 11277, 31404, 24833, 6858, 476, 1422, 333, 1911, 476, 15171, 25834, 11277, 3953, 476, 1789, 476, 15171, 25834, 11277, 4029, 2580, 834, 23056, 24423, 31079, 2580, 834, 338, 323, 329, 1470, 325, 2580, 834, 31116, 1721, 5569, 538, 5569, 8266, 912, 825, 4806, 815, 556, 2593, 335, 850, 16868, 257, 315, 323, 266, 5602, 825, 759, 815, 556, 26098, 718, 263, 6312, 1181, 267, 5569, 994, 825, 585, 1297, 538, 759, 912, 1038, 7003, 10831, 815, 7003, 28840, 994, 1038, 952, 7003, 10831, 2652, 476, 1556, 912, 2018, 1820, 28840, 2020, 0, 3698, 2892, 644, 541, 3799, 558, 3691, 22561, 2187, 825, 834, 3412, 18905, 796, 2892, 30186, 679, 3288, 20562, 718, 320, 4840, 825, 952, 9930, 3691, 568, 7183, 912, 1038, 1820, 2891, 295, 7637, 23528, 825, 3116, 912, 1038, 1820, 6600, 257, 295, 7637, 267, 2715, 333, 558, 3691, 348, 1701, 9239, 3698, 2040, 541, 5416, 267, 536, 2187, 825, 834, 306, 6373, 13121, 562, 14243, 1067, 657, 4840, 825, 2040, 320, 815, 513, 1341, 536, 454, 825, 2132, 2040, 320, 692, 3698, 1292, 10031, 825, 2892, 644, 541, 4590, 825, 2892, 644, 541, 2891, 297, 5282, 5602, 825, 1820, 4433, 531, 644, 541, 15405, 825, 1820, 4433, 531, 644, 541, 2891, 15383, 345, 27363, 825, 1820, 4433, 20783, 263, 274, 267, 476, 276, 4917, 672, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 5814, 942, 692, 1012, 674, 6064, 322, 10937, 546, 345, 807, 22119, 534, 773, 1384, 3698, 546, 345, 658, 534, 773, 16325, 272, 267, 1003, 273, 2187, 825, 952, 513, 2652, 834, 266, 13426, 1012, 1038, 1820, 2891, 284, 2580, 1003, 272, 1341, 1003, 273, 994, 1038, 2132, 1003, 272, 1341, 1003, 273, 454, 825, 8640, 513, 2652, 29038, 13426, 1012, 1038, 1820, 2891, 284, 2580, 1003, 272, 910, 1003, 273, 994, 1038, 2132, 1003, 272, 910, 1003, 273, 454, 825, 8640, 513, 2652, 834, 265, 13426, 1012, 1038, 1820, 2891, 284, 2580, 1003, 272, 2608, 1003, 273, 994, 1038, 2132, 1003, 272, 2608, 1003, 273, 454, 825, 8640, 513, 2652, 834, 270, 13426, 1012, 1038, 1820, 2891, 284, 2580, 1003, 272, 1315, 1003, 273, 994, 1038, 2132, 1003, 272, 1315, 1003, 273, 454, 825, 3116, 912, 1038, 1820, 2891, 313, 541, 1794, 267, 1990, 541, 1794, 32405, 1038, 942, 4732, 2748, 263, 274, 994, 1038, 1820, 2891, 302, 562, 773, 256, 715, 773, 530, 344, 1962, 8457, 546, 345, 807, 22119, 16492, 267, 562, 773, 12103, 512, 752, 773, 2998, 6132, 7999, 807, 10590, 9239, 2745, 2891, 310, 527, 1690, 530, 737, 1779, 15975, 2763, 642, 271, 269, 274, 269, 654, 751, 329, 530, 619, 10202, 1982, 1093, 514, 845, 340, 16660, 595, 328, 384, 503, 530, 909, 337, 2763, 329, 3240, 838, 657, 6759, 321, 267, 15662, 376, 324, 530, 344, 3630, 22119, 324, 23410, 562, 1675, 335, 578, 1221, 22448, 546, 345, 807, 22119, 534, 773, 19898, 3901, 26338, 345, 928, 269, 27029, 8587, 834, 310, 344, 321, 1512, 345, 546, 345, 807, 22119, 534, 773, 1775, 10540, 1690, 6132, 345, 2421, 15419, 320, 815, 3403, 2891, 310, 344, 321, 1512, 345, 546, 345, 807, 22119, 534, 773, 281, 1341, 267, 910, 267, 2608, 267, 1315, 5602, 11133, 272, 815, 10581, 9272, 2891, 303, 617, 1690, 22815, 9749, 345, 384, 483, 6132, 345, 321, 384, 503, 27363, 11133, 273, 815, 10581, 9272, 2891, 303, 617, 1690, 737, 1961, 329, 333, 384, 483, 6132, 345, 321, 384, 503, 8442, 2020, 2745, 16325, 272, 267, 513, 267, 1003, 273, 267, 834, 284, 2580, 546, 345, 658, 534, 773, 16325, 272, 267, 1003, 273, 4917, 0, 454, 3698, 1292, 10031, 825, 1003, 815, 834, 4840, 825, 1247, 6936, 912, 1038, 1003, 815, 3403, 2891, 921, 848, 4283, 513, 1297, 5602, 1038, 952, 711, 1003, 18994, 333, 10179, 545, 10031, 2018, 1820, 2891, 1607, 568, 711, 513, 1297, 256, 8347, 1586, 23528, 1038, 3116, 912, 2018, 1003, 842, 815, 703, 16325, 994, 2018, 759, 345, 3279, 273, 815, 1003, 842, 4939, 476, 273, 454, 2018, 759, 345, 3279, 275, 815, 1003, 842, 4939, 476, 275, 454, 2018, 952, 759, 345, 3279, 273, 11203, 476, 271, 281, 1948, 323, 5055, 703, 524, 328, 384, 483, 326, 795, 752, 630, 333, 270, 273, 11924, 272, 267, 547, 974, 385, 376, 912, 23351, 1948, 345, 9155, 2763, 533, 3863, 323, 17844, 933, 546, 5055, 678, 275, 3436, 271, 2676, 23351, 1948, 22448, 530, 22438, 384, 483, 7032, 678, 275, 284, 271, 454, 3546, 1820, 2891, 1607, 568, 606, 9642, 1297, 5602, 2018, 8640, 759, 345, 3279, 275, 2652, 476, 271, 912, 3546, 1820, 2891, 1607, 1297, 568, 8954, 762, 676, 476, 275, 5602, 2018, 8640, 759, 345, 3279, 273, 2652, 476, 271, 912, 3546, 1820, 2891, 1607, 568, 711, 606, 9642, 1297, 15419, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 30800, 0, 5814, 942, 454, 5228, 535, 5622, 1104, 2608, 692, 2745, 2891, 310, 527, 1690, 530, 605, 4614, 329, 1989, 2763, 267, 530, 737, 339, 6759, 516, 329, 5565, 574, 1990, 611, 8643, 655, 795, 652, 1990, 333, 1446, 345, 1329, 773, 737, 331, 1075, 5633, 267, 1743, 345, 342, 328, 1775, 530, 11770, 739, 534, 773, 23313, 384, 503, 1990, 562, 773, 2998, 5602, 2745, 2891, 297, 652, 324, 23410, 929, 5414, 649, 329, 23410, 857, 340, 798, 2978, 597, 9321, 340, 1701, 2020, 4067, 815, 3403, 2891, 297, 752, 23313, 384, 503, 562, 1794, 344, 13195, 345, 286, 5602, 2745, 9497, 310, 527, 1690, 834, 1341, 2012, 994, 5503, 4732, 2748, 263, 274, 994, 2745, 2891, 313, 659, 345, 2106, 553, 345, 23313, 384, 503, 5229, 17844, 24089, 267, 575, 11276, 579, 1457, 345, 553, 345, 530, 1990, 22044, 328, 384, 503, 269, 645, 10008, 269, 717, 323, 345, 773, 795, 652, 324, 23410, 286, 1677, 795, 752, 773, 23410, 530, 328, 384, 503, 345, 1329, 773, 23528, 2745, 2891, 313, 333, 1690, 706, 329, 525, 345, 23313, 384, 503, 530, 834, 1341, 561, 758, 279, 2020, 331, 758, 279, 815, 9497, 313, 333, 1690, 706, 329, 525, 345, 23313, 384, 503, 530, 533, 22119, 323, 533, 32634, 9857, 269, 623, 758, 6759, 329, 887, 345, 23410, 342, 2884, 331, 1690, 384, 483, 1596, 1329, 773, 521, 22119, 334, 385, 482, 8619, 546, 739, 1690, 384, 483, 576, 23313, 384, 503, 4691, 1690, 929, 2763, 345, 522, 13512, 6759, 337, 530, 647, 325, 545, 773, 269, 14210, 7663, 522, 13512, 6759, 337, 267, 929, 2763, 345, 737, 339, 6759, 787, 595, 328, 384, 503, 4691, 1690, 1990, 337, 30349, 935, 334, 1701, 2020, 320, 815, 3403, 4590, 0, 18851, 7312, 4305, 568, 547, 4020, 513, 2679, 799, 786, 581, 513, 18061, 540, 562, 18695, 269, 3097, 763, 13306, 693, 519, 5377, 786, 723, 513, 4320, 540, 562, 317, 274, 267, 519, 13306, 1657, 786, 723, 4320, 540, 630, 333, 268, 272, 8203, 274, 3097, 663, 865, 593, 2394, 519, 1283, 799, 786, 723, 513, 4320, 540, 476, 272, 317, 274, 780, 2791, 616, 2016, 519, 2698, 4320, 544, 540, 519, 2679, 269, 3097, 18455, 2016, 544, 666, 596, 1265, 519, 1297, 562, 540, 18695, 596, 786, 723, 547, 1628, 2496, 763, 9936, 540, 519, 1599, 1265, 301, 321, 630, 22772, 5332, 321, 267, 1265, 5991, 321, 267, 1265, 301, 321, 267, 3267, 264, 3097, 15884, 581, 606, 8870, 544, 543, 596, 723, 547, 2132, 519, 8870, 562, 3097, 7945, 607, 562, 317, 274, 1341, 630, 333, 268, 272, 8203, 274, 1341, 3267, 1341, 476, 272, 317, 274, 815, 544, 952, 971, 513, 562, 6818, 610, 910, 272, 952, 972, 568, 1100, 971, 562, 563, 14300, 1384, 22772, 301, 321, 263, 13040, 14338, 276, 264, 25341, 476, 3393, 692, 22772, 301, 321, 263, 280, 1704, 13679, 276, 4375, 4350, 6507, 264, 25341, 910, 272, 454, 11687, 20596, 318, 3225, 1023, 6600, 785, 5332, 321, 263, 275, 1240, 25134, 7176, 274, 6110, 280, 1070, 476, 1708, 273, 994, 11687, 20596, 318, 3225, 1023, 6600, 785, 5332, 321, 263, 26316, 20720, 4281, 274, 275, 3066, 7830, 1070, 910, 272, 994, 11687, 20596, 318, 3225, 1023, 6600, 785, 5332, 321, 263, 13670, 24496, 278, 1626, 25148, 1822, 1070, 476, 4366, 273, 275, 994, 11687, 20596, 318, 3225, 1023, 6600, 785, 5332, 321, 263, 28147, 274, 4200, 14625, 278, 3953, 1626, 1070, 476, 32579, 279, 994, 11687, 20596, 318, 3225, 1023, 6600, 785, 5332, 321, 263, 28803, 28670, 279, 4375, 4649, 277, 6078, 1070, 476, 25834, 279, 994, 20701, 332, 815, 703, 263, 28803, 28670, 279, 4375, 4649, 277, 6078, 2020, 3698, 1265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1946, 1281, 6735, 543, 4715, 1807, 9525, 3310, 4189, 5615, 286, 634, 3119, 6662, 540, 713, 2376, 568, 547, 2263, 519, 2470, 540, 4189, 19194, 609, 519, 3804, 540, 7114, 6286, 585, 824, 1514, 3871, 269, 17637, 281, 5530, 476, 272, 11567, 875, 1082, 9269, 12209, 941, 13881, 676, 2367, 543, 2021, 538, 513, 476, 1789, 18826, 4189, 6735, 950, 1750, 1359, 4715, 2209, 2901, 941, 610, 941, 711, 1459, 630, 4818, 1563, 547, 513, 1852, 2783, 269, 589, 2034, 1353, 8179, 547, 2491, 5530, 476, 272, 779, 4681, 998, 513, 5619, 540, 476, 11152, 1053, 945, 15951, 5256, 610, 4775, 8013, 3548, 619, 630, 514, 19747, 1931, 1759, 593, 4987, 267, 4482, 4369, 267, 1072, 267, 4222, 267, 543, 875, 11509, 789, 4397, 519, 3548, 619, 547, 581, 269, 24342, 281, 4112, 528, 2218, 4681, 1397, 8013, 3548, 619, 17696, 5111, 2185, 2053, 607, 1082, 9269, 12209, 607, 513, 2147, 1852, 1895, 267, 543, 519, 4527, 540, 513, 1750, 1359, 5304, 2417, 2799, 13617, 4616, 585, 9038, 630, 8117, 8519, 4616, 585, 8951, 269, 5530, 476, 273, 5267, 851, 540, 519, 936, 26024, 540, 9038, 949, 581, 1644, 547, 513, 3838, 2318, 8226, 602, 8013, 5256, 3548, 619, 616, 2178, 543, 2205, 850, 269, 1230, 7501, 281, 4634, 538, 5266, 1970, 3613, 1389, 5054, 267, 8013, 15287, 949, 13497, 2333, 875, 1454, 9038, 3548, 269, 1452, 16861, 2164, 948, 22113, 2487, 8906, 602, 9038, 31952, 805, 538, 1585, 1514, 3871, 1141, 972, 616, 3255, 585, 2367, 547, 1397, 1055, 269, 901, 949, 723, 10083, 585, 18226, 2623, 1107, 2523, 1851, 7820, 9038, 1107, 693, 6105, 267, 7333, 638, 1115, 267, 1895, 7188, 2996, 267, 543, 2147, 1514, 3871, 563, 310, 753, 1074, 267, 20574, 282, 12928, 858, 514, 267, 24910, 631, 454, 1692, 543, 1946, 1281, 6735, 543, 4715, 1807, 9525, 3310, 4189, 5615, 286, 634, 3119, 6662, 540, 713, 2376, 568, 547, 2263, 519, 2470, 540, 8013, 4189, 609, 519, 3804, 540, 7114, 6286, 585, 824, 1514, 3871, 269, 5530, 476, 272, 11567, 875, 1082, 9269, 12209, 941, 13881, 676, 2367, 543, 2021, 538, 513, 476, 1789, 15902, 4189, 6735, 950, 1750, 1359, 4715, 2209, 2901, 941, 610, 941, 711, 1459, 630, 4818, 1563, 547, 513, 1852, 2783, 1040, 634, 2034, 1353, 8179, 547, 2491, 5530, 476, 272, 781, 4681, 998, 513, 5619, 540, 476, 11152, 1053, 945, 15951, 5256, 610, 4775, 8013, 3548, 619, 630, 514, 19747, 1931, 264, 1759, 593, 4987, 267, 4482, 4369, 267, 1072, 267, 4222, 267, 543, 875, 11509, 789, 4397, 519, 3548, 619, 547, 581, 269, 4112, 528, 2218, 4681, 1397, 8013, 3548, 619, 17696, 5111, 2185, 2053, 607, 1082, 9269, 12209, 607, 513, 2147, 1852, 1895, 267, 543, 519, 4527, 540, 513, 1750, 1359, 5304, 2417, 2799, 13617, 4616, 585, 9038, 630, 8117, 8519, 4616, 585, 8951, 1040, 5530, 476, 273, 5267, 851, 540, 519, 936, 26024, 540, 9038, 949, 581, 1644, 547, 513, 3838, 2318, 8226, 602, 8013, 5256, 3548, 619, 616, 2178, 543, 2205, 850, 269, 4634, 538, 5266, 1970, 3613, 1389, 5054, 267, 8013, 15287, 949, 13497, 2333, 875, 1454, 9038, 3548, 269, 1452, 16861, 2164, 948, 22113, 2487, 8906, 602, 9038, 31952, 805, 538, 1585, 1514, 3871, 1141, 972, 616, 3255, 585, 2367, 547, 834, 19651, 1055, 1701, 901, 949, 723, 10083, 585, 18226, 2623, 910, 2523, 1851, 7820, 9038, 910, 693, 6105, 267, 7333, 638, 1115, 267, 1895, 7188, 2996, 267, 543, 2147, 1514, 3871, 563, 300, 7559, 4911, 2946, 997, 320, 715, 17480, 454, 17359, 7956, 12232, 28267, 297, 292, 30888, 302, 281, 6480, 644, 541, 513, 1028, 665, 807, 23843, 1303, 516, 513, 6544, 335, 23843, 798, 26240, 334, 6144, 531, 267, 522, 3331, 511, 526, 823, 632, 2527, 320, 6144, 531, 552, 15259, 735, 677, 3512, 657, 620, 2939, 4100, 606, 768, 9820, 269, 631, 32723, 307, 7495, 5308, 281, 667, 5202, 3512, 334, 1098, 951, 531, 267, 632, 3490, 17069, 659, 1308, 267, 635, 15273, 12742, 632, 476, 1321, 513, 476, 3066, 606, 657, 267, 13005, 1990, 7431, 4683, 320, 632, 5800, 334, 589, 5586, 516, 267, 19954, 630, 333, 284, 276, 1724, 269, 3474, 320, 1199, 597, 513, 6747, 17845, 333, 25556, 632, 735, 677, 3512, 657, 620, 2939, 4100, 606, 768, 9820, 3351, 714, 537, 5498, 522, 4530, 324, 632, 2311, 6421, 1325, 2939, 4100, 476, 2918, 630, 292, 2969, 268, 2918, 552, 522, 4530, 324, 632, 15766, 320, 23843, 10089, 6403, 332, 3821, 632, 3798, 574, 10767, 2998, 630, 289, 25492, 267, 2015, 15606, 3021, 611, 3512, 324, 552, 900, 8580, 2863, 334, 267, 552, 513, 6544, 335, 23843, 798, 26240, 334, 6144, 531, 11188, 803, 1470, 632, 476, 273, 829, 326, 2863, 553, 1609, 337, 583, 340, 2784, 553, 281, 4018, 5736, 522, 26240, 334, 6446, 513, 15273, 615, 15567, 326, 6072, 4998, 552, 513, 10081, 268, 10052, 807, 23843, 865, 3691, 694, 340, 26240, 334, 269, 744, 3331, 511, 526, 823, 632, 2527, 320, 6144, 531, 630, 8379, 290, 9087, 328, 2301, 5964, 11188, 1199, 5866, 632, 26240, 334, 552, 5621, 3120, 513, 2536, 573, 657, 269, 19419, 17109, 4696, 5308, 281, 6333, 18372, 15259, 6293, 657, 8580, 2863, 3512, 324, 267, 476, 1789, 267, 273, 260, 546, 553, 15273, 12742, 17646, 5069, 735, 677, 3512, 334, 620, 2939, 541, 632, 1567, 1723, 267, 552, 476, 1556, 267, 274, 260, 3284, 6974, 541, 600, 735, 677, 3512, 334, 620, 2939, 541, 606, 5436, 269, 1325, 2946, 332, 771, 810, 267, 476, 11025, 260, 546, 553, 15273, 12742, 3284, 6974, 541, 600, 594, 10157, 3339, 267, 6494, 334, 6446, 476, 273, 260, 2144, 600, 4012, 6652, 267, 552, 476, 1626, 260, 3284, 6974, 541, 600, 594, 10157, 632, 865, 3691, 6647, 334, 270, 984, 525, 573, 1228, 269, 30605, 15273, 12742, 1609, 644, 27885, 267, 476, 5379, 260, 17646, 5069, 522, 4998, 632, 533, 14008, 2367, 657, 267, 552, 476, 4391, 267, 279, 260, 2015, 822, 600, 5498, 575, 867, 553, 269, 9980, 516, 607, 15273, 12742, 635, 594, 10157, 3339, 267, 476, 1839, 267, 273, 260, 546, 553, 6446, 694, 513, 577, 822, 600, 2343, 9820, 3284, 6974, 822, 600, 735, 677, 3512, 334, 620, 2939, 541, 632, 1567, 1723, 267, 552, 476, 276, 267, 278, 4939, 735, 677, 3512, 334, 620, 2939, 541, 606, 5436, 269, 30605, 15273, 12742, 6446, 694, 2015, 822, 600, 575, 867, 553, 267, 476, 5325, 267, 273, 260, 3284, 6974, 541, 600, 735, 677, 3512, 334, 620, 2939, 541, 632, 1567, 1723, 267, 552, 476, 866, 267, 273, 260, 17646, 5069, 735, 677, 3512, 334, 620, 2939, 541, 606, 5436, 269, 25109, 12742, 6446, 694, 2366, 3554, 575, 867, 553, 3284, 6974, 541, 600, 19804, 1567, 1723, 844, 520, 549, 1654, 8240, 12103, 1640, 632, 3284, 6974, 541, 735, 677, 3512, 657, 620, 2939, 4100, 606, 768, 9820, 630, 23432, 14244, 632, 12918, 476, 275, 267, 2004, 282, 15096, 476, 4817, 260, 476, 273, 267, 6434, 268, 278, 267, 4905, 282, 533, 15477, 297, 17614, 12717, 281, 1677, 8495, 519, 2078, 1063, 1560, 2527, 4994, 630, 289, 11085, 267, 1560, 2597, 8226, 543, 4189, 4524, 2589, 269, 631, 24518, 7495, 306, 281, 589, 2551, 2861, 3444, 22891, 1353, 729, 5342, 1851, 2021, 9907, 1063, 476, 1321, 543, 476, 3066, 1296, 2025, 538, 5800, 334, 589, 5586, 516, 267, 8478, 630, 333, 284, 276, 1724, 269, 634, 9860, 540, 4189, 4524, 2589, 729, 12290, 676, 1210, 1079, 7405, 281, 519, 14856, 5900, 6421, 4530, 910, 476, 2918, 630, 292, 2969, 268, 2918, 543, 519, 10089, 574, 545, 454, 17359, 7956, 12232, 454, 25889, 281, 3776, 2832, 729, 547, 1353, 519, 2078, 1063, 17441, 18063, 543, 2618, 31752, 538, 14856, 15136, 630, 3633, 563, 32325, 281, 10783, 344, 5991, 710, 2021, 8995, 607, 14856, 15136, 2687, 547, 32663, 268, 4353, 941, 16271, 547, 1852, 11919, 2157, 540, 570, 17239, 267, 674, 307, 274, 267, 674, 307, 275, 267, 700, 295, 267, 674, 17239, 267, 476, 1704, 15883, 10140, 2784, 2723, 267, 7139, 716, 514, 267, 23280, 267, 667, 4047, 3008, 267, 23435, 543, 594, 24427, 268, 272, 269, 1358, 941, 849, 13950, 676, 590, 12710, 268, 3445, 305, 267, 645, 2969, 267, 23370, 4083, 26830, 269, 1284, 4294, 1617, 21725, 9695, 3631, 563, 24342, 281, 3776, 2164, 5031, 513, 19250, 1713, 6935, 1063, 700, 295, 267, 674, 17239, 543, 7139, 716, 514, 8519, 2157, 267, 7099, 543, 2219, 18063, 630, 11357, 2675, 2297, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 279, 543, 476, 280, 540, 590, 12710, 268, 3445, 337, 799, 616, 2404, 547, 10610, 5900, 3363, 630, 645, 2969, 2698, 4336, 543, 19837, 1539, 894, 23800, 630, 291, 2464, 4083, 2698, 4336, 563, 3519, 7501, 281, 28206, 1078, 4638, 10399, 2157, 1223, 723, 513, 1909, 538, 11581, 5626, 18063, 267, 711, 22679, 1600, 2943, 454, 663, 1426, 4529, 269, 634, 18102, 21503, 519, 10182, 267, 4507, 543, 7674, 2853, 3823, 5009, 5214, 3536, 543, 2635, 4189, 6208, 998, 1153, 1426, 3028, 543, 4928, 2238, 269, 634, 1239, 11609, 602, 3506, 609, 5214, 3761, 610, 4507, 1453, 4043, 547, 13789, 8902, 27401, 763, 9860, 540, 14968, 543, 8377, 1851, 1453, 568, 4867, 2810, 607, 7678, 540, 14051, 269, 12140, 607, 513, 4259, 949, 1404, 513, 2629, 1909, 538, 7303, 1453, 689, 4742, 17324, 543, 14968, 267, 998, 3246, 2635, 1153, 3536, 543, 1225, 14152, 2238, 269, 634, 1699, 1353, 6663, 27401, 547, 8495, 519, 7145, 540, 5214, 1426, 6304, 538, 1153, 6980, 543, 9422, 1225, 14152, 2238, 2164, 538, 8902, 4189, 19326, 1851, 1453, 269, 634, 1382, 729, 5342, 1851, 1153, 1426, 4717, 20788, 630, 25217, 5234, 538, 5279, 540, 519, 1153, 1426, 3028, 264, 538, 519, 1857, 3119, 2483, 17359, 7956, 12232, 3267, 1627, 26031, 264, 853, 11691, 15822, 27678, 585, 30451, 9612, 2296, 25385, 320, 10722, 565, 589, 6651, 547, 14856, 585, 11846, 8866, 10890, 1315, 1280, 1855, 839, 1315, 589, 6651, 547, 14856, 585, 11846, 1548, 781, 538, 713, 2376, 286, 16202, 23448, 585, 28742, 26465, 525, 543, 10791, 532, 16202, 513, 7352, 1214, 540, 16639, 4053, 4788, 30200, 543, 966, 1388, 23554, 7530, 19871, 4429, 310, 718, 518, 267, 717, 282, 4223, 20899, 267, 631, 454, 10387, 10899, 4189, 568, 2404, 609, 4189, 2618, 31752, 1851, 5375, 5095, 269, 898, 568, 711, 1634, 2436, 519, 1482, 8753, 3180, 538, 1875, 8862, 3480, 4529, 267, 1141, 8155, 585, 3929, 4082, 8428, 269, 901, 1353, 8947, 2436, 3929, 4189, 814, 519, 1482, 4189, 2618, 31752, 31426, 538, 1114, 4529, 269, 8422, 2516, 540, 1875, 30570, 2021, 941, 3379, 11219, 17702, 2713, 538, 3567, 282, 5545, 2713, 538, 519, 2136, 8003, 282, 543, 3703, 2713, 538, 519, 2136, 8003, 269, 1358, 6192, 606, 16508, 14856, 17361, 543, 519, 14856, 15136, 22802, 269, 1703, 941, 1114, 3270, 540, 7681, 1063, 3929, 4189, 543, 4189, 8456, 538, 519, 1614, 2516, 269, 3703, 2021, 4951, 513, 2178, 3095, 720, 267, 5545, 2021, 2713, 538, 3567, 4951, 1100, 7681, 267, 543, 5545, 2021, 538, 519, 2136, 8003, 4951, 606, 13591, 4806, 269, 16508, 4189, 949, 581, 1447, 540, 606, 4994, 540, 4189, 2618, 31752, 538, 1875, 8862, 3480, 4529, 269, 1717, 267, 972, 5526, 547, 581, 606, 934, 738, 584, 894, 1184, 267, 16046, 519, 1079, 950, 835, 13788, 513, 5375, 2528, 269, 901, 3444, 14426, 3017, 949, 723, 6286, 585, 519, 13389, 540, 11257, 267, 4352, 713, 3932, 3340, 1489, 689, 2417, 1382, 269, 14645, 476, 1960, 280, 676, 3627, 25067, 1299, 25860, 267, 5549, 563, 26469, 334, 623, 269, 623, 269, 7557, 5964, 454, 17359, 7956, 12232, 20638, 281, 630, 328, 1677, 5659, 519, 4189, 5615, 543, 1560, 9547, 540, 8695, 543, 6690, 543, 547, 4983, 741, 11299, 685, 11994, 540, 891, 1079, 11890, 282, 543, 630, 4512, 547, 6218, 4189, 1966, 30661, 1210, 1126, 1560, 2527, 4994, 630, 289, 11085, 267, 1582, 12635, 267, 543, 1560, 9547, 607, 1134, 607, 14774, 19483, 267, 4189, 2042, 267, 543, 9547, 609, 741, 1126, 779, 1560, 269, 634, 5171, 3769, 476, 9340, 1453, 630, 7918, 269, 272, 260, 6690, 9907, 1063, 476, 280, 543, 476, 1321, 1296, 2025, 543, 741, 11299, 269, 10495, 3800, 3769, 519, 4132, 14856, 5900, 3363, 4530, 267, 519, 8682, 6261, 518, 4003, 28483, 585, 5753, 267, 519, 14856, 15136, 7726, 32666, 267, 543, 519, 4132, 14856, 10263, 7726, 32666, 269, 4132, 543, 14774, 3800, 849, 3769, 19483, 543, 19811, 7612, 8571, 902, 269, 11778, 281 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 333, 815, 703, 9272, 2891, 10938, 1100, 281, 27363, 1721, 1775, 538, 2039, 3799, 2187, 825, 1820, 9217, 266, 272, 267, 754, 284, 3269, 994, 0, 5035, 9906, 912, 825, 1153, 815, 1412, 300, 14875, 28847, 825, 1219, 6449, 8181, 9191, 1345, 267, 544, 272, 267, 544, 273, 267, 544, 274, 2187, 1038, 1582, 6230, 272, 815, 544, 272, 454, 1038, 1582, 6230, 273, 815, 544, 273, 454, 1038, 1582, 6230, 274, 815, 544, 274, 692, 825, 1219, 1285, 326, 4311, 2187, 1038, 2132, 630, 1345, 6230, 272, 266, 1345, 6230, 273, 266, 1345, 6230, 274, 8358, 274, 692, 825, 1219, 1205, 8548, 272, 4311, 2187, 1038, 2132, 1582, 6230, 272, 692, 825, 1219, 1305, 8548, 272, 4311, 267, 1871, 2187, 1038, 1582, 6230, 272, 815, 1871, 692, 825, 7711, 5035, 24709, 454, 825, 1219, 11634, 331, 4067, 263, 743, 338, 2187, 1038, 2132, 804, 338, 4732, 1041, 692, 825, 7711, 18878, 24709, 454, 825, 1219, 9623, 10031, 1038, 1820, 3488, 10472, 568, 11979, 1505, 262, 9239, 338, 272, 815, 9906, 263, 1556, 267, 2420, 267, 4649, 994, 338, 273, 815, 9906, 263, 3374, 267, 2420, 267, 7918, 994, 2745, 4433, 272, 269, 822, 326, 15405, 2745, 4433, 273, 269, 822, 326, 15405, 2745, 4433, 273, 10947, 8548, 272, 15405, 338, 273, 15630, 8548, 272, 263, 736, 994, 2745, 4433, 272, 29335, 15405, 22923, 29335, 10797, 2745, 263, 22923, 4732, 577, 331, 4067, 31156, 0, 18411, 19152, 281, 513, 5903, 540, 9981, 454, 14303, 5281, 281, 513, 5903, 540, 9981, 454, 18411, 258, 3689, 6261, 817, 8827, 454, 258, 10878, 633, 3070, 281, 8073, 476, 273, 3063, 2230, 267, 1775, 4318, 269, 476, 273, 3063, 14249, 547, 4558, 519, 1587, 540, 782, 519, 5044, 2609, 689, 1376, 267, 909, 547, 602, 4994, 543, 1776, 5044, 547, 4558, 519, 1587, 540, 782, 519, 5044, 2609, 689, 519, 1439, 540, 519, 5044, 547, 602, 4994, 3097, 258, 1677, 1205, 519, 1587, 27195, 602, 4994, 267, 9062, 519, 18772, 1587, 909, 547, 4994, 1775, 268, 272, 609, 519, 21879, 1587, 909, 547, 4994, 1775, 266, 272, 3097, 258, 16534, 621, 1510, 6498, 11346, 538, 744, 18217, 264, 942, 454, 258, 535, 333, 547, 1820, 1587, 5044, 585, 513, 2016, 5044, 476, 7531, 258, 649, 666, 23868, 519, 15358, 14728, 316, 630, 3602, 795, 11203, 1775, 264, 689, 1592, 1101, 267, 1287, 1205, 519, 1587, 540, 519, 1964, 454, 5228, 1187, 551, 8962, 1104, 2569, 454, 3698, 1587, 15058, 318, 718, 318, 1278, 5332, 13246, 19906, 2187, 825, 2132, 1496, 2569, 10857, 10033, 1535, 267, 586, 281, 1535, 2608, 586, 267, 2855, 11468, 328, 316, 1341, 2855, 5157, 266, 272, 281, 8079, 585, 1775, 538, 2039, 12759, 19906, 4297, 2639, 672, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1948, 2422, 519, 1292, 1599, 547, 1449, 707, 6388, 454, 825, 1948, 2855, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 825, 2855, 815, 1496, 273, 267, 476, 277, 267, 476, 280, 267, 476, 279, 267, 476, 273, 267, 476, 273, 267, 476, 280, 267, 476, 1015, 267, 476, 278, 267, 476, 275, 267, 476, 278, 267, 476, 272, 267, 476, 280, 267, 476, 276, 267, 476, 280, 267, 476, 272, 267, 476, 279, 267, 476, 272, 267, 476, 279, 267, 476, 277, 267, 476, 273, 267, 476, 277, 267, 476, 275, 267, 476, 279, 267, 476, 280, 267, 476, 276, 267, 476, 275, 267, 476, 280, 267, 476, 1015, 267, 476, 274, 267, 476, 280, 267, 476, 272, 267, 476, 280, 267, 476, 273, 267, 476, 277, 267, 476, 279, 267, 476, 276, 267, 476, 276, 267, 476, 275, 267, 476, 278, 267, 476, 278, 267, 476, 276, 267, 476, 279, 267, 476, 272, 267, 476, 277, 267, 476, 276, 267, 476, 272, 267, 476, 278, 267, 476, 278, 267, 476, 279, 6540, 825, 1820, 6600, 257, 20479, 540, 1587, 15058, 318, 718, 318, 1278, 5332, 13246, 281, 2715, 28237, 15058, 318, 718, 318, 1278, 5332, 13246, 19906, 14587, 5602, 0, 692, 18257, 574, 921, 332, 656, 566, 540, 26848, 610, 521, 31451, 1599, 692, 1363, 552, 284, 273, 269, 278, 1240, 2764, 454, 1363, 552, 28682, 284, 27168, 1871, 454, 1363, 552, 28260, 343, 284, 341, 331, 1132, 1063, 476, 271, 543, 476, 272, 454, 1363, 3097, 1363, 521, 580, 7116, 1599, 284, 272, 270, 272, 266, 324, 28260, 343, 454, 4449, 476, 1934, 1535, 568, 5276, 3830, 454, 1363, 3097, 1363, 15981, 692, 3698, 521, 31451, 5416, 14720, 21726, 2187, 22322, 22322, 476, 586, 14352, 272, 14370, 272, 23444, 273, 269, 278, 1240, 2764, 2878, 910, 263, 320, 23444, 321, 20080, 4297, 21875, 22322, 476, 952, 12169, 27045, 271, 269, 276, 2187, 825, 1820, 2891, 12218, 589, 5602, 476, 3116, 912, 825, 1820, 2891, 12218, 645, 5602, 22322, 567, 692, 3698, 27240, 5050, 318, 1372, 1417, 5416, 14720, 267, 14048, 267, 11907, 2187, 22322, 476, 544, 284, 6352, 16597, 994, 22322, 476, 585, 575, 538, 2039, 263, 272, 267, 1911, 876, 2187, 825, 1942, 19963, 284, 271, 454, 825, 1942, 10734, 284, 271, 454, 476, 1948, 476, 1820, 9852, 994, 825, 585, 1871, 538, 1239, 1384, 8587, 1942, 19963, 284, 322, 739, 19963, 266, 9230, 263, 320, 23444, 321, 265, 7407, 314, 271, 316, 4297, 268, 7407, 314, 272, 28413, 8587, 1942, 10734, 284, 322, 739, 10734, 266, 9230, 9230, 320, 23444, 321, 265, 7407, 314, 271, 316, 4297, 268, 7407, 314, 272, 316, 4297, 265, 7407, 314, 271, 316, 9239, 825, 1942, 19963, 14352, 322, 739, 19963, 8276, 12684, 1565, 454, 825, 1942, 10734, 14352, 322, 739, 10734, 8276, 12684, 1565, 692, 825, 513, 30381, 21057, 19963, 454, 825, 536, 284, 321, 21057, 10734, 454, 825, 1820, 5416, 994, 825, 1820, 6357, 994, 825, 1820, 2891, 3071, 30668, 5602, 476, 2132, 513, 14720, 454, 22322, 258, 4283, 2866, 1239, 538, 1239, 1592, 454, 11907, 815, 314, 2639, 320, 284, 271, 269, 276, 454, 321, 284, 271, 269, 276, 454, 14048, 284, 271, 269, 272, 454, 320, 14720, 284, 294, 2784, 5050, 318, 1372, 1417, 5416, 14720, 267, 14048, 267, 11907, 2020, 258, 10938, 1871, 540, 1535, 585, 19665, 454, 343, 23751, 338, 31451, 5416, 14720, 21726, 264, 0, 5814, 544, 903, 27942, 269, 6618, 528, 692, 3240, 27219, 815, 544, 903, 27942, 269, 6618, 528, 269, 6618, 18692, 476, 3984, 6889, 4572, 269, 12739, 269, 6321, 269, 6200, 20350, 476, 3593, 6889, 332, 1774, 514, 20350, 476, 1780, 23424, 6889, 287, 27879, 17504, 20350, 476, 6538, 6889, 3240, 323, 520, 15390, 4840, 2020, 3240, 19387, 815, 1250, 27219, 269, 19387, 10797, 258, 1411, 666, 946, 808, 302, 2562, 3079, 540, 5442, 301, 2207, 808, 302, 2562, 269, 1358, 786, 1312, 2285, 596, 519, 1482, 1267, 563, 338, 27942, 815, 834, 10345, 22268, 26444, 476, 3755, 20508, 6789, 3593, 267, 26444, 476, 2472, 20508, 6789, 5172, 26444, 476, 20978, 3755, 26444, 476, 5442, 301, 2207, 808, 302, 2562, 2472, 10396, 3755, 8807, 822, 815, 2472, 269, 573, 5016, 3240, 19387, 20216, 31146, 4433, 27942, 994, 3240, 14310, 815, 1250, 19387, 8807, 21255, 718, 4590, 1721, 1535, 538, 1250, 14310, 912, 825, 1820, 3287, 994, 8931, 258, 700, 9128, 307, 808, 302, 2562, 454, 338, 27942, 815, 834, 10345, 22268, 26444, 476, 3755, 20508, 6789, 3593, 267, 26444, 476, 2472, 20508, 6789, 5172, 26444, 476, 20978, 3755, 26444, 476, 700, 9128, 307, 808, 302, 2562, 2472, 10396, 3755, 8807, 822, 815, 2472, 269, 573, 5016, 3240, 19387, 20216, 31146, 4433, 27942, 994, 3240, 14310, 815, 1250, 19387, 8807, 21255, 718, 4590, 1721, 1535, 538, 1250, 14310, 912, 825, 1820, 3287, 994, 8931, 258, 681, 20846, 808, 302, 2562, 454, 338, 27942, 815, 834, 10345, 22268, 26444, 476, 3755, 20508, 6789, 3593, 267, 26444, 476, 2472, 20508, 6789, 5172, 26444, 476, 20978, 3755, 26444, 476, 681, 20846, 808, 302, 2562, 2472, 10396, 3755, 8807, 822, 815, 2472, 269, 573, 5016, 3240, 19387, 20216, 31146, 4433, 27942, 994, 3240, 14310, 815, 1250, 19387, 8807, 21255, 718, 4590, 1721, 1535, 538, 1250, 14310, 912, 825, 1820, 3287, 994, 8931, 258, 674, 26097, 808, 302, 2562, 454, 338, 27942, 815, 834, 10345, 22268, 26444, 476, 3755, 20508, 6789, 3593, 267, 26444, 476, 2472, 20508, 6789, 5172, 26444, 476, 20978, 3755, 26444, 476, 674, 26097, 808, 302, 2562, 2472, 10396, 3755, 8807, 822, 815, 2472, 269, 573, 5016, 3240, 19387, 20216, 31146, 4433, 27942, 994, 3240, 14310, 815, 1250, 19387, 8807, 21255, 718, 4590, 1721, 1535, 538, 1250, 14310, 912, 825, 1820, 3287, 264, 0, 12047, 322, 7769, 815, 2039, 263, 271, 267, 1911, 3418, 7069, 24417, 5190, 815, 1629, 322, 7769, 314, 274, 281, 476, 2412, 281, 476, 274, 15947, 9792, 272, 815, 2039, 263, 274, 267, 2412, 267, 274, 3418, 2745, 263, 7069, 24417, 5190, 2652, 2039, 272, 3418, 2745, 263, 9792, 263, 271, 267, 476, 276, 267, 476, 273, 264, 2652, 2039, 263, 271, 267, 476, 277, 267, 476, 273, 17903, 337, 815, 2039, 263, 271, 267, 476, 1911, 3418, 1721, 1775, 538, 678, 11468, 18737, 273, 316, 6769, 825, 1820, 9217, 3418, 2745, 3488, 268, 262, 265, 2004, 3418, 1721, 1775, 538, 2039, 263, 1911, 267, 271, 16427, 273, 8029, 825, 1820, 9217, 3418, 0, 24105, 8217, 815, 1496, 15947, 16838, 284, 1496, 273, 267, 476, 275, 267, 476, 277, 267, 476, 279, 267, 476, 1015, 15947, 15957, 815, 1496, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 280, 15947, 24105, 8217, 815, 1256, 1341, 9642, 1477, 718, 5332, 334, 815, 15044, 263, 24105, 8217, 3418, 2745, 263, 718, 5332, 334, 3418, 16838, 269, 2169, 754, 263, 15957, 3418, 2745, 16216, 1597, 3418, 16838, 31699, 263, 516, 2091, 284, 6936, 3418, 2745, 16216, 1597, 3418, 21745, 1080, 815, 1412, 279, 2412, 15876, 280, 4792, 262, 1477, 21745, 1080, 815, 15044, 2891, 3199, 275, 6872, 272, 280, 4792, 14744, 2745, 5560, 580, 1080, 3418, 3467, 5091, 580, 1080, 815, 8900, 8217, 11468, 15947, 2745, 263, 3467, 5091, 580, 1080, 2652, 8900, 8217, 264, 0, 5228, 2712, 961, 756, 1104, 7662, 692, 258, 1577, 781, 1711, 513, 4756, 630, 649, 2012, 568, 2705, 649, 1616, 2020, 2998, 690, 318, 14766, 815, 1412, 10059, 2517, 638, 2044, 272, 8807, 12099, 13885, 1695, 5622, 2593, 23218, 278, 11721, 12099, 7933, 5877, 27798, 302, 8104, 286, 704, 1675, 272, 284, 14983, 3374, 279, 13893, 272, 261, 704, 1675, 273, 284, 14983, 277, 1704, 30306, 272, 261, 5793, 1998, 284, 272, 323, 261, 5271, 757, 284, 20931, 261, 13062, 3518, 284, 330, 303, 2998, 299, 330, 24250, 321, 297, 298, 28847, 3698, 4647, 318, 5228, 318, 19986, 6262, 12364, 318, 14766, 17107, 825, 3210, 815, 7662, 269, 14766, 13449, 6262, 12364, 318, 14766, 264, 567, 1948, 1818, 519, 1982, 547, 1921, 547, 519, 4950, 454, 825, 26417, 815, 3210, 18667, 3890, 567, 1948, 713, 26417, 568, 1175, 513, 4756, 454, 825, 26417, 23952, 815, 1193, 6262, 12364, 264, 567, 1948, 1934, 649, 616, 14291, 519, 1657, 1224, 1239, 883, 5569, 454, 825, 3515, 815, 26417, 23952, 21858, 2891, 11138, 333, 8442, 672, 1948, 1934, 649, 1835, 11575, 513, 8356, 15254, 804, 671, 3515, 543, 519, 929, 326, 3944, 786, 8237, 3515, 692, 825, 3186, 318, 14766, 815, 678, 262, 2998, 690, 10574, 27406, 262, 476, 1948, 713, 5932, 519, 10278, 540, 519, 3758, 454, 825, 535, 343, 815, 1930, 5560, 652, 318, 14766, 267, 834, 342, 8442, 825, 1948, 713, 5965, 519, 3758, 547, 2328, 547, 621, 692, 825, 1948, 1631, 649, 1711, 513, 585, 8520, 547, 8520, 998, 519, 3758, 3515, 1287, 4647, 873, 454, 825, 585, 1899, 538, 3515, 912, 1038, 535, 343, 22182, 263, 1467, 1341, 27719, 333, 5602, 825, 535, 343, 25379, 10797, 323, 5877, 318, 5228, 318, 19986, 263, 2998, 690, 318, 14766, 264, 825, 1948, 547, 1289, 519, 1599, 19638, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 3698, 535, 16366, 24867, 18425, 318, 26118, 3780, 2187, 825, 5727, 7024, 519, 2837, 538, 5232, 18278, 8173, 825, 2132, 630, 307, 18425, 318, 26118, 3780, 2608, 476, 280, 1315, 476, 276, 264, 1341, 476, 3953, 692, 1721, 512, 538, 630, 2420, 269, 277, 267, 476, 1839, 269, 279, 267, 476, 2767, 269, 274, 267, 476, 3066, 269, 279, 2187, 825, 1820, 6025, 267, 834, 281, 14307, 535, 16366, 6025, 4297, 0, 5228, 524, 338, 2004, 1104, 2608, 22322, 5228, 2979, 1104, 2608, 692, 258, 1491, 519, 3556, 1297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2187, 672, 952, 2338, 314, 271, 316, 2999, 9910, 912, 1038, 9910, 815, 2338, 314, 271, 2639, 672, 952, 7003, 3799, 13246, 264, 2652, 476, 272, 912, 1038, 2132, 9910, 454, 672, 1820, 263, 2381, 328, 994, 672, 2132, 1265, 5334, 332, 718, 652, 21223, 2211, 3799, 13246, 314, 272, 15311, 3910, 9910, 9239, 3698, 1265, 5334, 332, 718, 652, 3799, 13246, 2187, 825, 952, 7003, 3799, 13246, 264, 2652, 476, 272, 912, 1038, 2132, 2338, 314, 271, 2639, 825, 10545, 815, 2338, 314, 271, 2639, 825, 1265, 5334, 332, 718, 815, 1265, 5334, 332, 718, 652, 3799, 13246, 11468, 281, 272, 7481, 825, 952, 1265, 5334, 332, 718, 2999, 10545, 912, 1038, 1265, 5334, 332, 718, 815, 10545, 454, 825, 2132, 1265, 5334, 332, 718, 692, 4289, 324, 815, 1496, 1015, 267, 278, 267, 276, 267, 1556, 267, 1724, 267, 275, 267, 278, 2639, 2745, 6600, 785, 5334, 332, 718, 652, 21223, 2211, 17338, 324, 4917, 2745, 6600, 785, 5334, 332, 718, 652, 17338, 324, 11723, 3698, 9352, 318, 14142, 3799, 13246, 267, 3693, 267, 795, 267, 562, 2187, 825, 952, 3693, 711, 538, 2338, 912, 1038, 2132, 11196, 15615, 3488, 8882, 29125, 825, 4571, 815, 630, 329, 266, 333, 264, 2260, 273, 454, 825, 952, 2338, 314, 13232, 316, 2652, 3693, 912, 1038, 2132, 4571, 454, 825, 8640, 2338, 314, 13232, 316, 3436, 3693, 912, 1038, 2132, 9352, 318, 14142, 3799, 13246, 267, 3693, 267, 795, 267, 4571, 994, 825, 3116, 912, 1038, 2132, 9352, 318, 14142, 3799, 13246, 267, 3693, 267, 4571, 267, 562, 2020, 4289, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 279, 267, 866, 267, 2641, 267, 2537, 267, 1839, 267, 2918, 267, 3066, 267, 6078, 267, 5325, 267, 6321, 267, 11152, 267, 273, 267, 736, 2639, 28744, 6357, 2435, 318, 14142, 17338, 267, 476, 6321, 267, 476, 271, 267, 7003, 17338, 21875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 573, 12033, 10797, 22592, 1711, 310, 573, 12033, 4311, 2187, 453, 19677, 269, 31435, 299, 8475, 815, 22443, 4311, 267, 1257, 8782, 15916, 267, 1158, 256, 5073, 453, 19677, 269, 31435, 299, 8475, 4877, 871, 4590, 453, 19677, 269, 10181, 3719, 2023, 815, 29502, 4311, 267, 1257, 8782, 304, 3726, 3299, 4971, 284, 1345, 269, 10181, 994, 453, 19677, 269, 10181, 3719, 2023, 4877, 871, 10797, 1952, 815, 13335, 4590, 258, 476, 18777, 378, 419, 377, 362, 419, 359, 501, 9463, 352, 21550, 485, 30903, 502, 912, 1952, 6230, 2120, 26644, 3488, 15916, 2622, 5073, 258, 476, 4970, 375, 418, 370, 486, 418, 479, 363, 23523, 359, 27064, 363, 912, 1952, 6230, 664, 31467, 10797, 692, 258, 21588, 361, 11590, 490, 14748, 294, 21397, 692, 3698, 4099, 318, 30720, 26028, 815, 476, 4968, 267, 554, 815, 476, 1220, 2187, 453, 9749, 815, 3597, 269, 7773, 325, 334, 5334, 10547, 12296, 4590, 453, 26387, 815, 3597, 269, 7773, 325, 334, 5334, 10547, 19417, 4590, 453, 343, 815, 630, 9749, 270, 273, 264, 910, 630, 342, 270, 273, 994, 453, 344, 815, 630, 26387, 270, 273, 264, 910, 630, 327, 270, 273, 994, 453, 10174, 269, 613, 5852, 2891, 260, 11459, 260, 323, 266, 260, 323, 266, 260, 323, 257, 4939, 630, 342, 267, 554, 267, 1535, 267, 586, 11723, 10174, 815, 570, 330, 263, 5035, 11243, 8782, 7090, 1368, 328, 5073, 22487, 318, 30720, 263, 4335, 267, 476, 4968, 994, 10174, 6230, 664, 31467, 30800, 258, 294, 21397, 22614, 357, 489, 31365, 7511, 4970, 375, 419, 374, 379, 31801, 489, 420, 368, 509, 420, 368, 352, 25203, 495, 12571, 361, 23521, 354, 420, 485, 359, 418, 497, 491, 30853, 419, 367, 375, 14756, 509, 7511, 418, 370, 486, 418, 479, 363, 8147, 23946, 370, 28032, 507, 418, 361, 350, 14035, 482, 419, 494, 484, 30006, 493, 13601, 23521, 350, 418, 370, 486, 454, 258, 418, 479, 363, 12486, 18713, 510, 27882, 353, 8147, 417, 28187, 31563, 418, 370, 486, 418, 479, 363, 14035, 482, 419, 494, 484, 30837, 508, 27747, 372, 26033, 501, 28793, 8147, 16533, 365, 421, 506, 478, 28884, 21928, 13161, 364, 419, 374, 379, 31801, 489, 18809, 14035, 482, 419, 494, 484, 12486, 692, 7531, 258, 23911, 13127, 484, 483, 419, 377, 362, 7511, 570, 330, 5793, 476, 23746, 23284, 418, 375, 350, 420, 370, 367, 417, 509, 374, 10951, 361, 7511, 717, 21397, 22614, 357, 489, 31365, 7511, 28884, 418, 365, 480, 8147, 417, 28187, 31563, 15159, 30837, 508, 27747, 372, 14035, 491, 454, 258, 23521, 480, 7511, 717, 21397, 22614, 357, 489, 31365, 8147, 417, 375, 374, 18777, 362, 17958, 418, 497, 491, 30853, 419, 367, 375, 14756, 509, 31308, 509, 13200, 509, 418, 498, 363, 418, 490, 479, 7511, 13644, 511, 420, 357, 478, 25520, 18021, 497, 23521, 354, 419, 376, 500, 19540, 503, 19638, 692, 7531, 0, 258, 21928, 5124, 476, 18809, 8147, 419, 511, 487, 9463, 371, 284, 15159, 420, 369, 489, 29219, 13644, 511, 9463, 354, 8147, 23746, 23284, 418, 488, 488, 10524, 375, 418, 482, 493, 12255, 29004, 362, 32352, 417, 508, 489, 420, 369, 489, 29219, 14756, 503, 9463, 502, 19404, 493, 8147, 12571, 490, 454, 258, 22047, 9463, 502, 19404, 493, 23746, 23284, 9463, 491, 14035, 491, 420, 369, 489, 29219, 8147, 26033, 490, 4970, 498, 23746, 23284, 15159, 21251, 12571, 490, 32352, 417, 508, 489, 7511, 9463, 502, 19404, 493, 8147, 28032, 489, 417, 28187, 16088, 692, 320, 815, 476, 11277, 1948, 513, 476, 15159, 10533, 368, 12255, 454, 2745, 5416, 994, 320, 815, 1412, 27398, 262, 1948, 513, 476, 9463, 502, 20992, 21211, 31033, 4970, 366, 454, 2745, 5416, 2020, 258, 13601, 26175, 491, 30522, 353, 25622, 15159, 270, 476, 1315, 30522, 353, 25622, 18777, 350, 28997, 501, 14756, 497, 31563, 15159, 418, 369, 362, 30536, 12255, 8147, 22287, 367, 12916, 379, 15159, 4970, 353, 14748, 10533, 368, 12255, 418, 479, 364, 417, 354, 377, 10533, 368, 30522, 353, 8147, 14756, 497, 31563, 18263, 509, 15159, 418, 369, 362, 30536, 12255, 16088, 454, 2745, 263, 1015, 270, 274, 2020, 258, 13213, 502, 20069, 13601, 26175, 491, 30522, 353, 25622, 15159, 2260, 8147, 26175, 364, 20992, 17295, 364, 23521, 379, 30522, 353, 8147, 4970, 353, 14748, 10533, 368, 12255, 7511, 30522, 353, 25622, 10524, 491, 419, 482, 370, 15159, 10533, 368, 12255, 267, 10533, 368, 12255, 7511, 17295, 364, 23521, 379, 30522, 353, 2260, 418, 364, 372, 13213, 506, 15159, 10533, 368, 12255, 8147, 22287, 367, 12916, 379, 30522, 353, 21251, 16533, 377, 16088, 454, 2745, 263, 1015, 2260, 274, 2020, 0, 258, 31467, 2829, 454, 258, 23911, 476, 7511, 23523, 359, 27064, 363, 20069, 4970, 353, 26175, 491, 16088, 692, 258, 13601, 26175, 491, 15159, 585, 1862, 514, 13127, 378, 359, 27064, 363, 8147, 28032, 507, 418, 361, 350, 418, 488, 488, 1592, 476, 16043, 500, 24042, 476, 18809, 7511, 30006, 493, 14748, 30317, 27381, 510, 13213, 511, 28786, 24731, 23521, 354, 1384, 12849, 815, 18358, 2675, 2714, 12887, 321, 984, 12887, 339, 6483, 23300, 1721, 2012, 538, 4408, 912, 13537, 28442, 2020, 258, 2039, 3890, 16583, 30936, 8147, 23746, 23284, 13200, 509, 29873, 22047, 10533, 368, 12255, 31365, 28578, 454, 8999, 815, 476, 271, 454, 1721, 1535, 538, 2039, 263, 6200, 2187, 453, 8999, 6834, 343, 454, 2745, 4433, 636, 2020, 258, 21588, 361, 11590, 490, 26175, 491, 23523, 359, 27064, 363, 15159, 1247, 13127, 378, 359, 27064, 363, 8147, 9463, 359, 28884, 23521, 350, 10524, 370, 418, 375, 350, 420, 370, 367, 8147, 16533, 365, 21251, 13161, 511, 23523, 359, 27064, 363, 8147, 23521, 350, 10524, 370, 21251, 418, 375, 350, 420, 370, 367, 28793, 20881, 478, 24731, 23523, 359, 27064, 363, 692, 8999, 815, 476, 271, 454, 333, 815, 476, 4200, 454, 6112, 562, 285, 476, 271, 912, 453, 8999, 6834, 562, 454, 453, 333, 20699, 476, 273, 454, 2745, 4433, 636, 264, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 7531, 258, 544, 318, 5400, 454, 258, 8111, 14876, 1565, 1806, 454, 258, 22956, 29088, 517, 630, 333, 327, 677, 517, 287, 600, 615, 560, 12975, 2020, 5814, 21795, 607, 19073, 454, 5814, 13668, 454, 5814, 476, 1470, 454, 5814, 15259, 692, 14766, 815, 834, 10674, 2517, 1105, 633, 269, 923, 269, 18676, 12975, 270, 6447, 8276, 22389, 19543, 1673, 520, 629, 1162, 270, 611, 738, 270, 611, 738, 21606, 4840, 323, 21648, 564, 815, 834, 322, 7185, 27406, 4840, 258, 29250, 1239, 6241, 4408, 454, 12849, 815, 22373, 720, 2580, 834, 1740, 5035, 2580, 834, 325, 333, 331, 342, 25885, 2580, 834, 25531, 2580, 834, 25531, 8542, 636, 2580, 834, 3405, 1388, 14714, 9850, 2580, 3097, 1363, 834, 21232, 566, 2580, 834, 30447, 1222, 2580, 834, 15869, 2580, 834, 16303, 2580, 834, 5115, 1388, 3052, 664, 2580, 834, 5115, 1388, 7456, 1601, 2580, 3097, 1363, 834, 327, 2293, 269, 704, 269, 15553, 2580, 834, 333, 894, 29644, 787, 2580, 834, 514, 2492, 257, 6540, 337, 815, 13668, 4877, 739, 263, 14766, 994, 604, 678, 269, 758, 912, 825, 1239, 815, 678, 269, 20880, 19709, 13892, 3488, 583, 325, 279, 5073, 825, 17093, 815, 19073, 18667, 32269, 263, 1470, 269, 21803, 22473, 16597, 1070, 4408, 284, 12849, 994, 12828, 912, 825, 1820, 2891, 23219, 940, 281, 2052, 2254, 1104, 519, 1239, 689, 15745, 15419, 258, 28364, 6339, 3758, 15682, 454, 23424, 815, 15259, 10947, 322, 23424, 4590, 4206, 30419, 32269, 263, 657, 29624, 12459, 7765, 263, 23424, 267, 10471, 1070, 4994, 25716, 2020, 258, 2596, 1344, 540, 519, 1239, 18134, 454, 2745, 29254, 23584, 15405, 2745, 29254, 29335, 15405, 2745, 29254, 6155, 525, 9216, 31156, 258, 7508, 1239, 7829, 454, 4206, 8548, 1170, 532, 815, 630, 4206, 2525, 262, 286, 262, 1040, 8999, 4590, 2745, 29254, 8548, 1170, 532, 2020, 692, 5228, 28189, 1104, 840, 30112, 692, 258, 31391, 28547, 4632, 1210, 6003, 7402, 18344, 454, 258, 2824, 782, 28547, 4632, 454, 4206, 6831, 1538, 5566, 815, 17093, 269, 572, 937, 5091, 18196, 263, 514, 2850, 284, 9131, 15953, 262, 7481, 2745, 29254, 6831, 1538, 5566, 23584, 3890, 9239, 258, 4019, 6003, 1958, 18344, 547, 17093, 6831, 1538, 5566, 454, 548, 815, 840, 30112, 11482, 8475, 21886, 18344, 4590, 4206, 6831, 1538, 5566, 815, 17093, 6831, 1538, 5566, 269, 1952, 569, 263, 548, 32265, 4671, 4920, 845, 994, 2745, 29254, 6831, 1538, 5566, 23584, 31156, 7531, 258, 29100, 4505, 26134, 9587, 799, 1185, 28547, 2418, 454, 4206, 815, 17093, 6155, 1886, 29254, 6831, 1538, 5566, 31815, 8435, 267, 9471, 284, 272, 994, 258, 1230, 13906, 523, 622, 17093, 6831, 1538, 5566, 1239, 18134, 609, 3312, 1239, 18134, 454, 4206, 815, 19073, 26769, 13906, 8443, 4206, 267, 4206, 6831, 1538, 5566, 3910, 9471, 284, 272, 994, 2745, 29254, 23584, 3890, 9239, 258, 6460, 3077, 4756, 4747, 547, 28547, 454, 4206, 9131, 514, 2492, 11172, 815, 17093, 9131, 514, 2492, 262, 4940, 770, 4286, 3488, 322, 14394, 17210, 258, 1413, 693, 6241, 1826, 454, 2745, 29254, 29335, 3890, 9239, 5228, 28189, 6230, 617, 601, 26000, 3005, 1104, 5721, 15305, 5334, 5902, 7531, 258, 32027, 4830, 4632, 270, 10623, 2137, 547, 2473, 454, 311, 815, 17093, 314, 14277, 5115, 1388, 3052, 664, 19312, 2639, 258, 32027, 3210, 7933, 8817, 4756, 270, 10623, 1155, 547, 586, 454, 344, 815, 17093, 14277, 514, 2492, 31116, 258, 590, 5902, 1154, 519, 1239, 883, 5721, 543, 1449, 454, 311, 17601, 267, 311, 15305, 11971, 17601, 11971, 15305, 815, 5721, 15305, 5334, 5902, 11583, 11971, 267, 11687, 15481, 284, 271, 269, 736, 267, 12690, 26077, 284, 4200, 9239, 258, 2600, 585, 5721, 1239, 454, 2745, 12169, 17601, 27841, 18045, 338, 3799, 5436, 1125, 18989, 264, 2608, 476, 1911, 2020, 692, 258, 7383, 532, 3375, 3529, 29976, 689, 28189, 5399, 454, 5228, 28189, 6745, 872, 1104, 17423, 21698, 12218, 8595, 692, 258, 674, 9231, 519, 3375, 3529, 609, 9949, 5409, 12407, 4394, 267, 6306, 689, 454, 258, 3193, 5091, 3704, 799, 568, 476, 276, 865, 602, 649, 666, 4729, 543, 1224, 519, 3529, 563, 19049, 318, 29239, 815, 17423, 21698, 12218, 8595, 32384, 5091, 3704, 284, 276, 994, 19049, 318, 29239, 32265, 11583, 17601, 11971, 17601, 2020, 692, 258, 7383, 532, 8760, 1867, 543, 10539, 5119, 689, 28189, 14573, 454, 5228, 28189, 269, 5471, 7879, 1104, 8760, 23631, 1636, 267, 20813, 4288, 24624, 267, 3147, 5596, 23962, 692, 258, 1818, 11236, 454, 344, 28177, 318, 29239, 815, 24303, 318, 29239, 4877, 9438, 11583, 15305, 2020, 258, 24614, 29976, 1867, 1310, 12605, 454, 2745, 263, 5035, 2305, 23631, 1636, 12169, 15305, 11971, 28177, 318, 29239, 264, 9239, 258, 24614, 10539, 5119, 543, 6111, 454, 2745, 263, 20813, 4288, 24624, 12169, 15305, 11971, 28177, 318, 29239, 4917, 2745, 263, 3147, 5596, 23962, 12169, 15305, 11971, 28177, 318, 29239, 264, 9239, 258, 6969, 798, 2630, 1919, 267, 596, 723, 547, 3888, 3113, 341, 714, 454, 258, 1403, 596, 2811, 593, 9486, 912, 258, 10410, 604, 532, 2619, 585, 12297, 3758, 563, 657, 269, 523, 1333, 14277, 303, 26059, 19312, 6834, 15259, 29624, 572, 335, 1341, 1412, 290, 281, 270, 25284, 28567, 630, 343, 10436, 8358, 23054, 341, 714, 268, 273, 269, 4343, 24800, 270, 7055, 657, 269, 523, 1333, 9131, 303, 26059, 11172, 815, 15259, 269, 523, 1333, 9131, 303, 26059, 11172, 22065, 282, 262, 266, 657, 269, 523, 1333, 9131, 25321, 6395, 318, 303, 3918, 293, 21197, 11172, 266, 337, 257, 315, 299, 3869, 315, 16535, 315, 23054, 341, 714, 5016, 692, 258, 7383, 532, 2838, 15004, 585, 14839, 454, 5228, 7379, 3155, 269, 5891, 1104, 12005, 22322, 5228, 28189, 20216, 1181, 1023, 4732, 1460, 1104, 21642, 22473, 22322, 5228, 28189, 6745, 872, 1104, 13143, 14682, 1429, 341, 714, 454, 5814, 7510, 25346, 15200, 267, 3113, 341, 714, 692, 258, 32027, 2934, 454, 10623, 2137, 815, 22373, 5115, 1388, 3052, 664, 31116, 10623, 2137, 692, 258, 1403, 596, 2811, 593, 9486, 912, 258, 10410, 604, 532, 2619, 585, 12297, 3758, 563, 5814, 15259, 454, 657, 269, 523, 1333, 14277, 303, 26059, 19312, 6834, 15259, 29624, 572, 335, 1341, 1412, 290, 281, 270, 25284, 28567, 630, 343, 10436, 8358, 23054, 341, 714, 268, 273, 269, 4343, 24800, 270, 7055, 657, 269, 523, 1333, 9131, 303, 26059, 11172, 815, 15259, 269, 523, 1333, 9131, 303, 26059, 11172, 22065, 282, 262, 266, 657, 269, 523, 1333, 9131, 25321, 6395, 318, 303, 3918, 293, 21197, 11172, 266, 337, 257, 315, 299, 3869, 315, 16535, 315, 23054, 341, 714, 5016, 258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 621, 666, 581, 5423, 883, 1585, 8860, 14743, 267, 31492, 12308, 338, 267, 5070, 17549, 543, 1585, 705, 6652, 1161, 267, 799, 616, 4922, 1031, 538, 519, 7344, 4393, 2872, 563, 763, 705, 6652, 1161, 1500, 540, 3109, 13339, 29743, 616, 6140, 1031, 585, 5969, 543, 8860, 2326, 609, 1970, 28995, 4222, 267, 971, 607, 4837, 267, 23907, 267, 6149, 543, 18195, 800, 267, 3092, 269, 1358, 616, 849, 1031, 585, 519, 8860, 540, 5641, 4401, 2694, 543, 1875, 1922, 518, 9317, 4496, 2326, 563, 16675, 13339, 29743, 705, 6652, 1161, 616, 6140, 1031, 585, 8860, 29743, 267, 24489, 18585, 543, 9804, 4837, 267, 607, 1134, 607, 585, 28798, 12718, 13274, 619, 543, 5386, 8860, 540, 1164, 18286, 5374, 2645, 269, 10699, 545, 13339, 29743, 568, 16887, 1031, 585, 2706, 1922, 514, 880, 8860, 540, 2890, 1532, 792, 902, 269, 634, 3282, 6149, 1500, 540, 654, 274, 269, 276, 12945, 13339, 29743, 2890, 1790, 32535, 568, 1031, 585, 2706, 1922, 514, 880, 8860, 540, 26971, 630, 332, 1468, 2098, 24774, 337, 1428, 1070, 543, 922, 9096, 666, 581, 2047, 2666, 689, 589, 280, 547, 811, 982, 589, 1321, 269, 4475, 267, 1851, 824, 705, 6652, 1161, 540, 519, 1482, 10286, 2450, 267, 12945, 13339, 29743, 814, 519, 5207, 4393, 4398, 563, 763, 1297, 540, 4914, 2477, 1210, 13339, 29743, 607, 513, 18195, 800, 1570, 568, 3152, 982, 519, 1297, 540, 705, 6652, 1161, 269, 3624, 568, 849, 9750, 519, 3498, 540, 713, 1858, 267, 2687, 547, 519, 6208, 540, 4914, 9755, 267, 18195, 800, 2326, 3109, 13339, 29743, 568, 2356, 5258, 883, 1614, 5686, 540, 9344, 912, 414, 495, 510, 11628, 18195, 800, 3109, 13339, 29743, 269, 634, 3114, 5888, 4170, 540, 713, 3446, 616, 4010, 519, 1482, 607, 1346, 540, 31492, 3109, 13339, 29743, 267, 799, 568, 5631, 1031, 547, 5478, 4359, 13339, 29743, 2472, 267, 971, 607, 973, 31051, 1242, 13339, 29743, 2472, 267, 3154, 17081, 5057, 1100, 26072, 267, 13339, 6491, 20183, 5916, 609, 13339, 29743, 2694, 267, 19046, 19460, 1164, 27529, 7997, 16298, 2326, 267, 1164, 27529, 29137, 3334, 267, 1164, 27529, 29137, 1489, 2694, 267, 18195, 800, 521, 12000, 1513, 267, 3092, 563, 414, 495, 350, 13553, 776, 18195, 800, 1570, 3109, 13339, 29743, 267, 5627, 811, 982, 476, 3445, 260, 13339, 29743, 269, 6301, 569, 1031, 538, 519, 5478, 540, 5420, 1164, 2837, 11259, 29137, 3334, 267, 971, 607, 544, 28984, 19460, 16298, 2326, 269, 1452, 3334, 538, 1840, 547, 519, 946, 540, 13339, 29743, 3002, 4187, 267, 8143, 19428, 267, 538, 1082, 2665, 849, 946, 922, 3114, 6617, 563, 414, 495, 351, 8899, 17263, 18195, 800, 1570, 3109, 13339, 29743, 267, 922, 13339, 29743, 1543, 2838, 811, 982, 476, 10695, 4939, 267, 5631, 1031, 538, 519, 16298, 540, 519, 4401, 7382, 267, 4401, 17078, 548, 267, 13058, 543, 26703, 4401, 5663, 2872, 267, 3092, 563, 17556, 601, 14708, 2356, 946, 7542, 4592, 559, 6625, 632, 2135, 9179, 267, 519, 2487, 1646, 540, 13339, 29743, 3079, 540, 7542, 4592, 559, 6625, 607, 513, 632, 31038, 6500, 267, 519, 5374, 2298, 568, 1732, 267, 811, 22237, 269, 5221, 519, 946, 540, 13339, 29743, 632, 2135, 9179, 267, 883, 1447, 1793, 698, 543, 3533, 267, 3927, 4227, 519, 1543, 540, 930, 3730, 2609, 538, 519, 1793, 698, 267, 5374, 14708, 942, 568, 2110, 543, 1732, 1852, 540, 519, 5888, 563, 5719, 31038, 6500, 3109, 13339, 29743, 538, 519, 2136, 2276, 543, 3567, 543, 824, 2477, 538, 519, 5374, 2872, 568, 1031, 1360, 4122, 269, 589, 1962, 5297, 610, 18195, 800, 2326, 609, 13339, 29743, 538, 519, 19460, 6383, 676, 519, 1570, 5078, 585, 632, 31038, 6500, 267, 666, 782, 581, 4421, 543, 4294, 547, 519, 2504, 1510, 519, 991, 547, 2132, 547, 519, 19460, 267, 519, 1587, 3102, 13345, 2557, 568, 1164, 267, 519, 2804, 1198, 540, 13339, 29743, 2504, 568, 5140, 563, 310, 792, 15033, 543, 1164, 27529, 2694, 454, 763, 946, 540, 13339, 29743, 17375, 1164, 21052, 267, 5957, 4187, 267, 3679, 543, 12659, 8932, 14809, 4187, 267, 538, 519, 7344, 2872, 267, 519, 3114, 2872, 1031, 547, 5965, 513, 1007, 5108, 540, 7344, 27575, 2326, 267, 23510, 26971, 267, 14809, 15033, 12992, 267, 11896, 19059, 543, 10178, 19059, 269, 23883, 607, 513, 7344, 13021, 1570, 814, 1044, 18368, 6444, 607, 519, 8772, 5108, 540, 2596, 2326, 2094, 519, 4496, 267, 620, 29837, 29743, 267, 922, 3679, 4187, 267, 12659, 8932, 4187, 3379, 609, 824, 2326, 568, 5393, 1434, 267, 3592, 1100, 1570, 666, 581, 3379, 609, 621, 563, 8794, 519, 1164, 8143, 19428, 540, 13339, 29743, 23907, 267, 621, 666, 581, 1031, 585, 1164, 27529, 3002, 9401, 13377, 538, 12669, 17790, 7677, 2167, 267, 3092, 1421, 543, 519, 2837, 666, 3914, 476, 9873, 271, 11433, 481, 282, 8860, 7573, 609, 13339, 29743, 5070, 5066, 619, 666, 2087, 519, 2298, 540, 7573, 3379, 609, 824, 5070, 5066, 619, 267, 543, 519, 7573, 6556, 666, 581, 2799, 676, 476, 272, 260, 349, 273, 9077, 543, 519, 1942, 666, 581, 4389, 676, 476, 1789, 260, 349, 2412, 10065, 4635, 6850, 680, 908, 1505, 547, 13339, 29743, 25132, 32535, 15098, 593, 519, 17081, 3762, 267, 666, 7494, 2087, 519, 5957, 4187, 540, 519, 791, 11839, 267, 14178, 922, 5826, 4783, 269, 4635, 7344, 2604, 547, 2046, 12945, 13339, 29743, 8860, 8869, 543, 654, 2764, 2890, 8869, 883, 519, 12718, 3774, 540, 4835, 13674, 9817, 666, 8831, 519, 3028, 1272, 540, 519, 12718, 3625, 676, 811, 982, 835, 942, 563, 763, 946, 540, 13339, 29743, 543, 18664, 1314, 7848, 540, 476, 3393, 258, 5374, 3771, 1407, 614, 16405, 2627, 18664, 517, 3114, 3002, 2126, 267, 666, 1118, 922, 18664, 517, 4494, 540, 21052, 547, 3914, 519, 2890, 14551, 1145, 540, 476, 5197, 271, 9625, 476, 1220, 271, 10101, 267, 3976, 14178, 922, 3028, 1272, 1896, 2053, 563, 305, 3326, 619, 1500, 540, 13339, 29743, 723, 1279, 1044, 6707, 1031, 538, 5374, 12902, 14200, 267, 799, 723, 1732, 3002, 4187, 543, 5957, 4187, 982, 4496, 5066, 619, 267, 543, 666, 2087, 519, 2298, 540, 519, 18202, 5374, 269, 634, 5070, 6802, 543, 8652, 7094, 821, 1500, 540, 13339, 29743, 1570, 723, 1434, 5957, 4187, 282, 519, 12718, 561, 10719, 1500, 540, 13339, 29743, 1570, 543, 824, 5957, 15033, 2694, 666, 581, 4922, 1031, 538, 19386, 543, 3114, 2872, 12227, 282, 621, 666, 849, 581, 1031, 607, 1164, 27529, 8143, 12227, 2326, 269, 28541, 29743, 814, 1434, 1164, 2837, 4162, 267, 971, 607, 1164, 2837, 16617, 267, 1164, 2837, 4222, 267, 28869, 267, 1434, 8143, 19428, 543, 1970, 5860, 267, 568, 9053, 585, 1164, 2837, 2694, 540, 8143, 12227, 267, 971, 607, 281, 585, 1164, 2837, 13674, 17081, 13674, 12068, 267, 17081, 11979, 16405, 1164, 2837, 30979, 267, 3092, 907, 17214, 540, 13339, 29743, 25059, 543, 12718, 561, 10719, 585, 1875, 2000, 17128, 656, 1875, 2275, 944, 532, 17088, 2599, 267, 666, 2569, 11508, 476, 1789, 260, 9625, 476, 2004, 9077, 6846, 3648, 4389, 563, 4415, 13339, 29743, 23907, 543, 824, 2326, 1927, 609, 519, 5888, 540, 519, 13674, 12068, 543, 30979, 267, 814, 1044, 1031, 538, 15177, 2029, 269, 28541, 29743, 2861, 12432, 2326, 5423, 676, 519, 589, 686, 2033, 15177, 2766, 30979, 814, 1044, 6707, 4294, 269, 28541, 29743, 5860, 538, 519, 1647, 267, 476, 736, 260, 14402, 982, 1325, 273, 302, 274, 267, 21052, 543, 13412, 29870, 568, 1164, 267, 519, 3902, 568, 1454, 2539, 982, 645, 275, 290, 267, 855, 849, 666, 581, 1031, 538, 6186, 1819, 6472, 543, 8484, 17987, 543, 16886, 16513, 543, 588, 629, 31383, 22514, 267, 3092, 907, 28541, 29743, 1570, 849, 814, 1582, 2000, 17128, 908, 543, 1507, 11664, 540, 11508, 267, 827, 3368, 540, 602, 540, 2781, 7757, 29743, 269, 4706, 1434, 8143, 8710, 4187, 267, 1164, 29870, 540, 22786, 543, 824, 4162, 538, 930, 2027, 4025, 547, 581, 4294, 267, 971, 607, 1031, 547, 1118, 1164, 27703, 8955, 19141, 4171, 2773, 568, 1732, 982, 7601, 267, 1813, 547, 1970, 5860, 267, 1434, 6551, 7190, 267, 1507, 22636, 267, 595, 13748, 543, 5114, 5609, 18146, 540, 13339, 29743, 17426, 19141, 723, 1044, 1031, 538, 2230, 2029, 538, 1804, 9424, 563, 16978, 3740, 543, 1528, 4710, 1013, 673, 454, 763, 946, 540, 13339, 29743, 17375, 1164, 8143, 19428, 267, 1434, 13471, 607, 519, 14041, 540, 1804, 8397, 7471, 11387, 543, 11183, 2326, 13339, 29743, 8022, 1560, 568, 513, 4122, 1031, 8022, 3693, 267, 1317, 621, 814, 519, 5383, 540, 2241, 543, 10375, 5106, 267, 1279, 3028, 1272, 267, 2647, 2039, 540, 946, 267, 3092, 1421, 1831, 519, 1034, 14463, 543, 20522, 8022, 2326, 267, 519, 946, 540, 2837, 909, 547, 476, 8182, 271, 21508, 481, 269, 28541, 29743, 666, 849, 581, 1031, 547, 798, 17500, 818, 516, 3122, 11896, 1560, 543, 2484, 18342, 11718, 267, 3092, 269, 0, 14197, 4065, 21976, 454, 289, 5802, 523, 707, 1983, 269, 10576, 543, 2263, 707, 18653, 269, 23958, 689, 12736, 7431, 3557, 2160, 563, 24400, 606, 1858, 540, 1353, 666, 3100, 899, 513, 18447, 1184, 267, 2523, 607, 513, 1101, 4458, 2875, 269, 634, 1434, 3377, 568, 602, 519, 4937, 4065, 5358, 630, 294, 7968, 264, 568, 1934, 547, 948, 563, 763, 717, 7968, 568, 513, 1576, 5311, 602, 5161, 540, 476, 1015, 25779, 19791, 543, 476, 275, 2271, 839, 1161, 563, 9336, 15938, 2875, 2115, 547, 2347, 713, 1576, 5311, 24568, 1840, 547, 741, 6074, 4081, 1982, 23121, 6707, 10927, 689, 654, 24746, 563, 294, 7968, 6030, 666, 1293, 4724, 707, 2101, 610, 5634, 1982, 269, 2368, 5049, 949, 1256, 14183, 811, 982, 835, 717, 7968, 10421, 693, 519, 1482, 942, 630, 10193, 1634, 607, 968, 29602, 1019, 6137, 892, 1916, 2005, 4221, 547, 2951, 855, 1810, 1406, 1616, 547, 8488, 707, 22692, 4266, 286, 654, 24746, 3091, 1896, 5530, 589, 3118, 3681, 602, 1577, 596, 2263, 519, 1158, 543, 11886, 717, 7968, 4170, 1100, 2339, 707, 4081, 1982, 563, 3528, 11264, 17440, 538, 811, 982, 835, 1858, 267, 596, 3580, 581, 1134, 25454, 2864, 982, 25190, 517, 268, 3128, 539, 609, 707, 1983, 564, 267, 1818, 596, 1256, 811, 10694, 547, 2104, 12820, 563, 2252, 596, 1810, 1406, 3833, 917, 1018, 596, 1616, 547, 1353, 267, 519, 4937, 4065, 5358, 630, 294, 7968, 264, 2636, 596, 547, 16702, 883, 513, 3099, 540, 5396, 563, 2252, 267, 2705, 267, 596, 917, 4010, 1018, 596, 1616, 547, 798, 538, 1272, 267, 1287, 519, 717, 7968, 25040, 707, 6015, 538, 707, 4876, 2619, 269, 634, 717, 7968, 949, 849, 1930, 707, 4064, 547, 513, 1007, 2361, 596, 22821, 1406, 2808, 1354, 543, 948, 596, 1689, 707, 2247, 563, 292, 2416, 1259, 267, 519, 717, 7968, 12662, 596, 835, 1900, 6251, 547, 4466, 707, 3020, 18653, 563, 2791, 666, 3442, 689, 513, 2647, 2039, 540, 5049, 602, 14183, 1142, 25779, 9351, 543, 2271, 2400, 547, 21160, 707, 2782, 1874, 3460, 563, 13914, 540, 25779, 19791, 607, 4798, 540, 1620, 269, 1452, 476, 1015, 25779, 19791, 616, 20291, 609, 519, 16506, 18734, 15099, 630, 300, 333, 12839, 1916, 289, 22877, 606, 2500, 5467, 267, 5856, 267, 10584, 267, 543, 26575, 563, 24169, 2042, 998, 23610, 543, 3860, 2081, 563, 308, 2955, 519, 2956, 540, 2257, 538, 707, 1272, 563, 8196, 5013, 543, 7954, 547, 1489, 6811, 543, 1118, 3664, 563, 9596, 827, 519, 5107, 596, 543, 1866, 1404, 538, 2486, 563, 294, 664, 606, 7071, 585, 2093, 543, 4529, 1114, 689, 707, 1378, 563, 8777, 720, 538, 519, 3860, 1184, 610, 4612, 633, 2773, 563, 18439, 3604, 538, 5198, 267, 4008, 267, 2418, 267, 543, 5389, 540, 1585, 2516, 538, 519, 772, 2529, 563, 24718, 5001, 1514, 267, 2804, 267, 543, 2797, 2833, 563, 289, 22877, 513, 2015, 622, 543, 3743, 12504, 563, 15447, 3425, 685, 1764, 593, 519, 2067, 1158, 547, 2232, 2825, 2152, 563, 13914, 540, 2271, 839, 1161, 607, 3606, 4170, 602, 9148, 1018, 596, 1451, 689, 519, 25779, 19791, 563, 295, 821, 1603, 1983, 1808, 547, 707, 4876, 2361, 563, 3519, 3272, 6835, 538, 1114, 12043, 543, 547, 1114, 9458, 563, 8196, 2963, 543, 2413, 2853, 547, 4739, 3280, 7440, 563, 22117, 513, 2635, 543, 7059, 6197, 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 ]
[ 639, 689, 519, 1376, 540, 741, 2069, 563, 763, 811, 519, 1126, 3096, 713, 1935, 267, 519, 3152, 741, 5876, 543, 3308, 5314, 5759, 786, 1205, 269, 1215, 547, 4001, 10203, 609, 606, 705, 659, 639, 269, 661, 3052, 476, 1724, 568, 21718, 9937, 563, 1692, 1677, 17546, 25478, 2060, 1323, 2806, 659, 639, 563, 2005, 1185, 1044, 2016, 547, 721, 607, 513, 10516, 267, 543, 547, 581, 9237, 267, 621, 19531, 730, 803, 269, 4438, 1297, 1565, 543, 6061, 2042, 267, 513, 1126, 1590, 8357, 1047, 1082, 5961, 269, 901, 2636, 873, 547, 4194, 2042, 3362, 676, 31935, 606, 705, 659, 639, 563, 288, 10021, 1438, 18185, 267, 1403, 1411, 4024, 563, 763, 29116, 25549, 19273, 616, 865, 10694, 547, 1762, 20854, 267, 543, 789, 666, 1205, 1483, 18399, 689, 1175, 11319, 873, 689, 2427, 547, 2427, 269, 9255, 1871, 1039, 547, 1250, 960, 9248, 630, 273, 264, 4647, 3758, 7824, 7842, 538, 1250, 3896, 610, 5816, 1039, 547, 24440, 4928, 1039, 547, 2890, 7809, 6887, 2671, 998, 1018, 338, 1952, 281, 6423, 811, 2093, 827, 705, 659, 639, 267, 705, 659, 639, 2979, 267, 18954, 2979, 563, 2791, 2052, 16179, 2290, 2311, 7102, 23625, 15188, 2107, 6732, 563, 14399, 2648, 547, 1404, 609, 519, 705, 659, 639, 1317, 540, 922, 5863, 2681, 543, 9403, 269, 3371, 616, 513, 1906, 705, 659, 639, 2238, 547, 1205, 596, 3323, 269, 5753, 616, 4847, 547, 946, 513, 18951, 705, 659, 639, 689, 519, 1376, 540, 741, 2069, 563, 763, 2859, 634, 4132, 21964, 901, 13979, 267, 634, 20523, 4256, 27065, 1656, 10439, 5314, 2806, 1988, 4024, 5192, 563, 2467, 616, 513, 1297, 540, 3756, 547, 1404, 593, 606, 705, 659, 639, 602, 666, 948, 1020, 513, 1126, 781, 6746, 2329, 269, 634, 705, 659, 639, 1044, 1031, 2094, 3504, 2053, 543, 568, 1869, 538, 946, 2221, 269, 661, 3052, 476, 1724, 568, 21718, 9937, 563, 6781, 659, 639, 20861, 6011, 1677, 2422, 1323, 2806, 659, 639, 629, 659, 639, 9751, 16753, 2806, 659, 639, 20861, 629, 659, 639, 20861, 1280, 30488, 6011, 1677, 6258, 2806, 659, 639, 629, 659, 639, 5426, 476, 272, 6781, 659, 639, 13174, 629, 659, 639, 6258, 563, 10376, 705, 659, 639, 3568, 476, 1911, 19273, 543, 568, 3617, 585, 1453, 6502, 1614, 543, 909, 269, 634, 705, 659, 639, 568, 513, 12719, 1907, 1419, 1031, 538, 6128, 269, 1280, 1296, 1250, 1920, 779, 705, 659, 639, 2893, 593, 513, 15808, 267, 30694, 563, 16665, 24762, 585, 2806, 659, 639, 11314, 1280, 8866, 454, 268, 26271, 6096, 476, 275, 1320, 6103, 454, 268, 5668, 27701, 19556, 10819, 2060, 454, 268, 12726, 3883, 11833, 26850, 619, 454, 268, 5131, 5441, 21480, 631, 6033, 454, 268, 5131, 31287, 5384, 31524, 454, 268, 15206, 16661, 7689, 12697, 454, 268, 623, 690, 559, 26954, 30958, 8018, 454, 268, 2871, 612, 634, 8285, 8349, 454, 268, 17502, 1470, 16508, 1656, 4804, 454, 268, 12815, 17828, 11242, 21584, 0, 295, 1157, 800, 595, 3863, 323, 6758, 8523, 676, 8298, 534, 7261, 6350, 918, 2335, 24550, 2271, 574, 573, 2209, 2353, 28375, 267, 15931, 1145, 267, 543, 2796, 4137, 8185, 538, 9840, 827, 1753, 14482, 600, 4408, 269, 2201, 4989, 476, 1428, 267, 646, 22283, 5196, 661, 6277, 1115, 12197, 538, 27201, 267, 13264, 519, 2681, 11064, 267, 543, 1500, 1686, 7868, 8630, 19775, 519, 12928, 1157, 8538, 1442, 619, 16390, 799, 3177, 519, 5748, 3652, 896, 799, 519, 3014, 568, 5129, 269, 11569, 267, 538, 2073, 1175, 1354, 3013, 9411, 519, 2112, 267, 602, 535, 12574, 4005, 950, 23413, 13879, 10627, 1540, 269, 594, 786, 1865, 513, 5618, 1686, 540, 13836, 267, 4229, 602, 616, 4294, 538, 13836, 267, 519, 7455, 3440, 267, 543, 1018, 4010, 4523, 950, 519, 3440, 10742, 519, 10627, 269, 769, 519, 2038, 2395, 540, 519, 1686, 540, 13836, 972, 941, 1896, 7648, 540, 519, 3014, 1634, 607, 18471, 619, 267, 855, 519, 3014, 1185, 1100, 1305, 540, 834, 334, 24810, 257, 3652, 269, 898, 25116, 713, 593, 8186, 540, 1762, 1453, 543, 782, 519, 1259, 909, 547, 2025, 2367, 543, 2021, 538, 3013, 269, 30296, 267, 1715, 3840, 281, 5685, 1734, 267, 11976, 543, 2029, 267, 547, 2012, 513, 1906, 267, 723, 4957, 1919, 269, 1261, 1131, 14526, 2394, 646, 729, 1134, 883, 1010, 476, 2412, 338, 1765, 785, 3975, 267, 538, 1945, 540, 513, 8429, 540, 519, 10627, 517, 267, 646, 5129, 1996, 4024, 773, 631, 904, 538, 2073, 538, 519, 27740, 13477, 2622, 10022, 267, 950, 631, 904, 729, 1152, 476, 1704, 267, 513, 6151, 269, 634, 2319, 5129, 538, 519, 667, 559, 10290, 8378, 585, 5756, 1354, 3001, 1175, 2066, 519, 8473, 547, 3162, 10491, 689, 2394, 634, 8486, 7815, 13290, 547, 12235, 519, 3440, 538, 519, 10880, 7997, 267, 799, 568, 606, 16494, 4216, 563, 28830, 941, 2469, 865, 1134, 585, 3979, 1977, 13836, 538, 519, 2136, 2276, 602, 513, 1007, 3979, 1977, 5547, 729, 4646, 543, 519, 27740, 13477, 2622, 10022, 729, 2847, 1882, 1175, 513, 1032, 2663, 538, 23770, 12928, 2074, 8523, 676, 20574, 717, 1682, 752, 20736, 5069, 18409, 338, 634, 5898, 540, 5634, 21597, 6887, 568, 519, 1259, 789, 2992, 741, 267, 1134, 267, 1753, 3490, 563, 2691, 519, 27460, 4991, 513, 3490, 5734, 646, 13290, 547, 4434, 607, 1082, 13279, 607, 2009, 1510, 3478, 856, 563, 26015, 4252, 2221, 814, 1082, 2242, 689, 7945, 607, 2319, 4408, 269, 901, 3014, 540, 18471, 619, 5555, 3366, 547, 513, 3014, 1634, 607, 16011, 11831, 543, 1287, 547, 519, 3014, 649, 1631, 917, 607, 13836, 28469, 551, 582, 267, 29484, 563, 2252, 513, 6345, 267, 16455, 267, 610, 9614, 3423, 919, 519, 3652, 540, 2932, 267, 519, 579, 5404, 790, 1522, 30275, 1864, 689, 519, 3014, 563, 22873, 729, 519, 3135, 540, 513, 538, 940, 267, 476, 279, 16923, 8792, 3014, 1063, 519, 8738, 28002, 12075, 543, 519, 9791, 7615, 18112, 3421, 269, 0, 25594, 593, 707, 1239, 5599, 7045, 676, 3257, 930, 28944, 476, 272, 269, 1230, 842, 826, 609, 707, 3312, 10471, 269, 5269, 1022, 2242, 602, 941, 6700, 543, 3095, 610, 1039, 547, 519, 3312, 3561, 269, 2353, 1102, 528, 1058, 581, 3015, 689, 3105, 13980, 540, 519, 1788, 269, 476, 273, 269, 22034, 2029, 19665, 593, 835, 540, 707, 28547, 4632, 630, 320, 264, 2422, 513, 2241, 3375, 3529, 547, 19665, 707, 1239, 547, 513, 28547, 4756, 269, 8073, 513, 14839, 540, 519, 3375, 3529, 269, 5269, 2386, 547, 3132, 513, 10539, 5119, 269, 630, 321, 264, 19244, 707, 3375, 3529, 855, 946, 513, 3444, 15418, 4480, 547, 1449, 519, 6111, 269, 25826, 4756, 2956, 543, 581, 1978, 547, 6085, 593, 519, 1034, 1271, 4632, 269, 630, 322, 264, 25826, 519, 2956, 540, 1142, 4183, 1210, 513, 16584, 30026, 18802, 610, 2744, 5223, 269, 8073, 513, 14839, 269, 6496, 713, 1246, 1018, 707, 3375, 4054, 4951, 286, 476, 274, 269, 3503, 707, 1867, 256, 630, 320, 264, 3417, 782, 3688, 16761, 1657, 269, 3417, 11708, 543, 1257, 827, 1142, 269, 630, 321, 264, 9181, 519, 3444, 15418, 1184, 6074, 269, 9181, 2436, 1142, 2203, 568, 936, 7257, 543, 875, 596, 1522, 2995, 269, 630, 322, 264, 17564, 10539, 5119, 543, 1018, 621, 1522, 1611, 585, 1818, 1978, 11236, 538, 707, 1788, 269, 634, 1867, 786, 581, 28439, 676, 519, 1739, 7355, 281, 18926, 2079, 476, 1789, 2798, 269, 634, 8579, 4255, 616, 782, 3177, 269, 8641, 673, 11724, 725, 476, 1789, 2798, 269, 634, 16761, 21370, 10525, 616, 1500, 543, 3769, 538, 1867, 269, 8033, 6672, 476, 1428, 2798, 269, 634, 1867, 568, 513, 27402, 540, 519, 3105, 1867, 269, 901, 949, 1331, 6402, 610, 1175, 3606, 547, 3487, 476, 272, 269, 769, 1022, 2013, 519, 4367, 547, 707, 1239, 1058, 581, 2139, 543, 1022, 2556, 4368, 525, 1500, 269, 19873, 725, 476, 1428, 2798, 269, 634, 2164, 540, 519, 8579, 2079, 616, 5693, 6045, 543, 14648, 538, 519, 2796, 540, 519, 1966, 269, 634, 8753, 8308, 2992, 519, 2079, 543, 616, 1134, 6462, 269, 5675, 2298, 476, 1015, 2798, 269, 634, 1957, 568, 28505, 543, 5693, 2854, 269, 1703, 616, 1906, 267, 952, 1022, 267, 21342, 610, 10259, 6959, 543, 789, 798, 711, 15936, 609, 519, 9355, 540, 519, 1957, 269, 7089, 532, 593, 713, 3561, 568, 711, 1031, 538, 519, 1867, 538, 1022, 342, 454, 2791, 666, 1205, 938, 4998, 2228, 6780, 948, 2533, 609, 2185, 2653, 3268, 269, 2353, 596, 723, 547, 798, 568, 1217, 721, 540, 707, 4170, 269, 8056, 2664, 2299, 649, 786, 6474, 609, 513, 11285, 538, 707, 4081, 9015, 269, 2991, 602, 267, 649, 786, 3950, 707, 1931, 267, 2689, 621, 547, 2327, 621, 10742, 707, 4170, 267, 543, 10505, 621, 547, 707, 4757, 563, 293, 650, 538, 707, 7084, 5528, 593, 519, 1931, 1106, 454, 3412, 9712, 2299, 596, 3346, 721, 585, 6780, 948, 282, 649, 786, 3651, 707, 7084, 547, 606, 4081, 4274, 563, 2171, 723, 513, 2319, 540, 15769, 267, 945, 786, 8499, 2689, 707, 7084, 267, 4180, 972, 616, 1100, 6959, 1354, 19169, 454, 5629, 649, 723, 6192, 519, 7084, 267, 649, 786, 5838, 621, 547, 707, 2272, 269, 3958, 267, 649, 786, 6494, 513, 31015, 547, 707, 4757, 563, 5629, 596, 5077, 721, 585, 6780, 948, 2228, 2533, 267, 596, 786, 1140, 652, 547, 1946, 649, 616, 1851, 519, 7330, 781, 1655, 1557, 1603, 2533, 563, 5649, 593, 543, 1265, 856, 930, 540, 519, 2934, 602, 1118, 938, 2533, 2706, 331, 894, 563, 2791, 666, 6166, 602, 519, 1543, 596, 1205, 568, 3312, 585, 1863, 1210, 938, 17096, 2638, 518, 563, 2171, 2709, 19957, 1569, 547, 938, 1557, 6780, 5439, 563, 5629, 596, 1747, 606, 1931, 267, 649, 3898, 621, 9935, 1510, 14053, 3606, 10997, 563, 2171, 2709, 1863, 19957, 26941, 2394, 707, 7084, 568, 540, 707, 5551, 2298, 10756, 2171, 723, 513, 2319, 540, 7463, 15769, 945, 2689, 707, 7084, 1354, 19169, 563, 2791, 666, 3950, 519, 3356, 540, 707, 6780, 585, 1863, 269, 0, 6097, 547, 519, 2817, 4659, 585, 27706, 8881, 543, 2657, 630, 25712, 5308, 295, 1070, 476, 273, 267, 1822, 4600, 2066, 606, 5044, 540, 6080, 2844, 2816, 5829, 3750, 7063, 1169, 1554, 602, 2154, 2564, 2126, 269, 31071, 7063, 1942, 12820, 6634, 1142, 1032, 1813, 547, 2564, 9276, 267, 11832, 779, 13180, 267, 543, 4503, 7607, 269, 7743, 3750, 543, 3068, 4027, 267, 5916, 609, 4656, 543, 2866, 267, 4422, 513, 1279, 1259, 4724, 7303, 519, 5354, 540, 891, 7063, 563, 16978, 3740, 960, 3340, 3750, 3106, 3937, 269, 26121, 11443, 267, 13868, 26892, 267, 543, 16304, 23049, 2154, 2645, 547, 2759, 610, 16590, 9475, 538, 3889, 267, 799, 666, 14736, 909, 513, 2603, 540, 7452, 543, 824, 11935, 602, 666, 2014, 3750, 2042, 269, 1306, 606, 3167, 1014, 267, 596, 786, 849, 991, 4027, 950, 7231, 609, 5982, 689, 7298, 267, 22292, 267, 543, 18342, 1769, 269, 1411, 1223, 581, 2324, 609, 824, 23194, 5443, 945, 946, 5739, 6464, 607, 851, 540, 741, 960, 269, 2353, 891, 1919, 786, 2154, 3750, 4027, 269, 4475, 267, 649, 4363, 1739, 891, 3268, 547, 3442, 519, 1318, 3750, 5957, 563, 16100, 585, 16685, 18171, 1841, 454, 763, 1101, 1900, 547, 2870, 513, 2922, 960, 1604, 543, 16116, 519, 1318, 3750, 4027, 585, 513, 2816, 568, 547, 917, 707, 3169, 4220, 269, 10576, 519, 1761, 2959, 540, 10898, 267, 689, 7404, 4600, 547, 1804, 12227, 547, 13346, 267, 10760, 267, 610, 9991, 11935, 269, 4107, 3750, 5829, 7063, 616, 689, 2326, 11495, 610, 16150, 532, 519, 3750, 855, 1413, 856, 585, 21774, 10898, 607, 1134, 269, 11906, 543, 8143, 17236, 2154, 1114, 3750, 4027, 543, 824, 3937, 543, 616, 2629, 547, 1832, 538, 2247, 950, 7446, 2123, 4027, 3937, 630, 13048, 292, 1916, 24400, 16685, 10466, 454, 763, 1826, 540, 3750, 4027, 596, 991, 607, 606, 3167, 1014, 786, 4096, 593, 707, 10450, 267, 1018, 1826, 540, 960, 596, 2461, 3257, 267, 707, 2123, 5075, 2115, 267, 543, 519, 3617, 4441, 585, 519, 960, 5340, 269, 1280, 2489, 3750, 543, 3068, 4027, 267, 13013, 11190, 6645, 12820, 2066, 6080, 547, 3277, 547, 4888, 10485, 2098, 9262, 269, 272, 547, 1265, 519, 3617, 2363, 1168, 792, 543, 1443, 2478, 5329, 621, 2973, 543, 538, 1434, 7816, 269, 8881, 14296, 609, 2427, 4027, 616, 1655, 585, 2127, 609, 23197, 5536, 547, 1832, 11935, 689, 10024, 519, 4064, 269, 717, 17344, 956, 616, 513, 1732, 4781, 585, 2127, 609, 6464, 1459, 269, 24658, 10898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14799, 30471, 543, 30824, 342, 902, 616, 23097, 2803, 543, 789, 3548, 824, 5739, 7786, 602, 1223, 3441, 7031, 563, 26170, 267, 824, 7786, 267, 899, 546, 2426, 22404, 543, 30412, 616, 1033, 761, 643, 2803, 602, 948, 31693, 5214, 2339, 1394, 883, 519, 1426, 5832, 2336, 30509, 689, 1373, 1271, 25199, 267, 24549, 5387, 7786, 849, 948, 547, 1832, 2371, 538, 2638, 543, 2061, 873, 689, 2921, 936, 269, 4173, 321, 643, 648, 7786, 849, 1683, 1426, 585, 824, 2831, 538, 519, 5117, 267, 971, 607, 5017, 543, 16835, 269, 9453, 7786, 267, 1082, 540, 891, 2831, 1131, 5182, 557, 547, 2669, 563, 1432, 1684, 24538, 338, 16202, 888, 1103, 4167, 338, 616, 818, 6605, 16104, 10362, 547, 519, 1362, 24538, 320, 907, 5016, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 12901, 338, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 12292, 1315, 24538, 338, 1299, 1975, 11107, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 1350, 527, 6670, 1158, 540, 21035, 267, 972, 5030, 513, 1762, 4807, 3957, 661, 3149, 773, 269, 2701, 6743, 543, 32131, 4010, 899, 519, 4583, 7260, 5182, 267, 700, 2643, 1695, 29366, 267, 945, 5747, 12357, 569, 1082, 1296, 3516, 269, 2290, 1554, 267, 661, 3149, 773, 1558, 32652, 19258, 18999, 1676, 267, 945, 5189, 1200, 547, 10615, 11066, 2098, 1046, 534, 267, 945, 1031, 547, 581, 9310, 547, 700, 2643, 1695, 269, 8625, 267, 789, 18617, 22456, 10361, 4446, 2284, 2701, 6756, 547, 1118, 513, 7260, 609, 661, 3149, 773, 4730, 519, 1909, 540, 700, 2643, 1695, 780, 2026, 2395, 5293, 267, 661, 3149, 773, 5185, 2591, 1352, 2760, 16545, 1354, 269, 1703, 941, 6105, 4904, 609, 4568, 543, 5061, 267, 1611, 20859, 899, 631, 14709, 13162, 267, 543, 1256, 2576, 2027, 945, 25343, 1200, 31205, 910, 14472, 8688, 320, 269, 1809, 1018, 30223, 661, 3149, 773, 1034, 729, 4742, 865, 1454, 899, 700, 2643, 1695, 1247, 9117, 256, 4634, 950, 519, 12514, 11074, 12902, 267, 1352, 1869, 5433, 899, 700, 2643, 1695, 3330, 780, 3080, 13566, 12784, 267, 1282, 513, 2736, 593, 1305, 267, 661, 3149, 773, 4280, 19258, 267, 834, 3963, 798, 594, 1745, 899, 700, 2643, 1695, 782, 519, 942, 1631, 286, 898, 781, 17559, 1701, 19258, 14452, 9900, 267, 834, 11039, 661, 3149, 773, 267, 621, 1522, 581, 1317, 707, 2634, 2281, 1689, 1169, 942, 596, 2259, 1945, 1007, 267, 899, 1565, 3515, 610, 25718, 1776, 1268, 781, 2623, 3010, 292, 3149, 773, 4769, 1405, 3833, 1174, 269, 1924, 267, 19258, 4797, 267, 834, 2791, 917, 875, 2371, 991, 7943, 547, 1332, 286, 3776, 12058, 960, 13974, 1107, 938, 2833, 3337, 721, 883, 945, 649, 1831, 269, 1879, 596, 957, 607, 700, 2643, 1695, 267, 707, 2247, 2242, 1932, 15323, 4504, 29098, 267, 661, 3149, 773, 4941, 547, 1265, 856, 811, 269, 19759, 569, 267, 741, 10004, 3893, 29169, 676, 3377, 602, 4957, 3388, 269, 1358, 4121, 602, 700, 2643, 1695, 781, 13249, 1439, 7012, 1405, 606, 8009, 1310, 782, 282, 3079, 267, 1352, 8593, 1813, 547, 30983, 936, 513, 24158, 781, 26035, 269, 24651, 713, 26648, 13414, 1500, 661, 3149, 773, 8275, 602, 1373, 2576, 3116, 3884, 1405, 2141, 1434, 543, 3006, 9363, 3020, 547, 3054, 666, 948, 2057, 11213, 9073, 269, 3245, 1287, 593, 267, 661, 3149, 773, 4956, 547, 9784, 9887, 4628, 267, 6028, 3297, 1022, 4276, 547, 700, 2643, 1695, 11014, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 8923, 2626, 519, 1739, 2243, 281, 901, 2376, 281, 32652, 19258, 18999, 1676, 9060, 661, 3149, 320, 5696, 1074, 10458, 267, 513, 1131, 15515, 957, 816, 945, 5654, 543, 4992, 1175, 899, 476, 700, 2643, 1695, 29366, 267, 513, 1166, 3711, 1195, 656, 5182, 945, 8593, 547, 1200, 2669, 538, 19035, 6381, 476, 736, 1296, 3516, 269, 1261, 7479, 3547, 818, 5766, 656, 8689, 11066, 2098, 1046, 534, 267, 945, 1185, 1044, 9310, 547, 700, 2643, 1695, 267, 547, 1294, 1200, 269, 634, 1079, 2367, 1287, 18609, 1490, 1662, 18638, 2212, 4446, 2284, 2701, 6756, 267, 945, 568, 8449, 13351, 267, 547, 1394, 513, 4605, 609, 1200, 607, 700, 2643, 1695, 269, 476, 14755, 12003, 609, 519, 28112, 2335, 673, 2098, 1046, 534, 543, 2653, 1569, 547, 4568, 543, 5061, 267, 661, 3149, 320, 849, 814, 547, 25077, 609, 824, 10898, 540, 21035, 899, 17351, 19784, 631, 14709, 13162, 543, 24139, 23507, 337, 14472, 8688, 320, 269, 1306, 2083, 2719, 5170, 267, 1200, 8446, 609, 1200, 678, 20110, 548, 4991, 811, 7920, 269, 2701, 849, 5956, 547, 2887, 538, 2648, 609, 2098, 1046, 534, 267, 945, 568, 6126, 547, 3207, 609, 1200, 855, 1010, 10862, 568, 547, 1205, 1010, 4670, 8737, 269, 476, 1635, 519, 2063, 1554, 540, 15246, 267, 1200, 7209, 4667, 547, 723, 24673, 609, 602, 540, 519, 30891, 748, 700, 2643, 1695, 4171, 14603, 2887, 267, 649, 1451, 267, 729, 19430, 676, 519, 14247, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 6092, 5149, 281, 16520, 29576, 998, 519, 30776, 540, 4095, 9177, 281, 589, 5530, 540, 674, 8543, 24079, 267, 28477, 24079, 267, 6181, 1742, 267, 543, 19088, 1108, 1210, 23305, 1143, 543, 12054, 7821, 692, 1103, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 7706, 540, 18912, 8941, 267, 12563, 8941, 267, 17691, 267, 543, 13299, 1369, 4095, 2528, 267, 9001, 5339, 9880, 4485, 971, 607, 7293, 1143, 543, 5033, 7821, 269, 3776, 6662, 568, 547, 1683, 596, 609, 606, 538, 3829, 1620, 540, 875, 891, 2984, 2992, 519, 2418, 267, 4978, 267, 543, 1514, 3889, 540, 3127, 781, 3309, 2950, 1247, 3384, 707, 2565, 3206, 1983, 269, 1284, 786, 2263, 1585, 4798, 267, 18305, 267, 6698, 267, 543, 18840, 18196, 1336, 538, 891, 6386, 543, 5659, 741, 4644, 538, 5935, 4095, 3961, 780, 1262, 9556, 2544, 476, 272, 281, 1323, 4985, 547, 674, 8543, 24079, 267, 28477, 24079, 267, 6181, 1742, 267, 543, 19088, 1108, 538, 4095, 9177, 4373, 293, 8543, 8941, 267, 12563, 8941, 267, 17691, 267, 543, 7242, 3098, 4196, 607, 1898, 2645, 585, 1620, 513, 2486, 781, 3140, 1646, 267, 2686, 8155, 267, 543, 3838, 2418, 269, 769, 3127, 267, 9423, 814, 1044, 606, 17271, 2460, 540, 1272, 2094, 942, 1799, 655, 3645, 269, 2060, 3875, 6803, 2516, 543, 10409, 4763, 2066, 4525, 267, 3127, 19646, 513, 5318, 23789, 540, 5711, 543, 2854, 6386, 602, 7866, 2189, 3344, 540, 922, 2686, 6561, 780, 265, 12244, 15846, 18918, 538, 1895, 5717, 593, 2442, 4095, 12563, 2145, 525, 899, 834, 763, 7581, 591, 18844, 257, 610, 834, 763, 30064, 543, 519, 4858, 557, 13584, 2437, 7114, 1455, 2609, 543, 7648, 1759, 593, 6237, 7506, 780, 1262, 9556, 2544, 476, 273, 281, 1133, 16225, 532, 23113, 281, 16792, 23305, 1143, 547, 4095, 15881, 2510, 4373, 1805, 24780, 1143, 29102, 602, 9944, 519, 2627, 540, 1022, 2239, 9114, 2620, 3889, 602, 1827, 922, 3919, 543, 2495, 269, 1635, 6313, 18596, 3270, 267, 4729, 3457, 267, 1915, 2010, 267, 543, 3090, 3359, 267, 649, 666, 19586, 5817, 8471, 18408, 11251, 1369, 9583, 19635, 2984, 780, 265, 32101, 15846, 15233, 32157, 1160, 653, 781, 24466, 2079, 547, 1079, 3982, 8747, 540, 834, 763, 7327, 532, 25905, 543, 519, 674, 752, 597, 257, 630, 320, 9661, 2147, 547, 14943, 684, 29992, 1070, 15663, 3604, 543, 10486, 538, 2497, 543, 21044, 1543, 780, 1262, 9556, 2544, 476, 274, 281, 5463, 5317, 6399, 902, 281, 22034, 12054, 7821, 538, 22718, 4095, 12267, 4373, 306, 655, 7821, 3322, 4974, 4191, 543, 1129, 1949, 1369, 5931, 547, 21264, 17697, 10096, 269, 901, 1505, 2337, 721, 10146, 875, 4589, 946, 6698, 267, 23199, 267, 543, 824, 10409, 2645, 547, 6655, 1950, 2093, 5705, 569, 780, 265, 19865, 15846, 10576, 543, 4612, 1713, 6698, 538, 2549, 541, 932, 527, 571, 22186, 320, 14676, 630, 320, 2442, 3126, 18995, 4095, 13299, 264, 543, 1865, 875, 789, 3565, 547, 14335, 1808, 6835, 827, 13919, 267, 5869, 1143, 267, 610, 2820, 6541, 780, 1262, 9556, 2544, 476, 275, 281, 8836, 8033, 8462, 5288, 269, 7827, 281, 10289, 17992, 725, 538, 12465, 15881, 2510, 4373, 2026, 7239, 11457, 267, 865, 798, 741, 2984, 269, 29675, 543, 7004, 1831, 2556, 6127, 585, 4509, 10083, 9624, 4657, 8658, 269, 15766, 908, 971, 12381, 24259, 1769, 593, 6848, 10593, 543, 11972, 2418, 780, 265, 10932, 5741, 15846, 14424, 2413, 1427, 32478, 540, 519, 12473, 10548, 27011, 630, 3697, 12891, 758, 7813, 518, 781, 3126, 264, 609, 2757, 14906, 1431, 267, 10223, 14624, 1500, 547, 8597, 547, 4207, 9458, 543, 741, 6286, 585, 16208, 4095, 2528, 780, 1262, 9556, 2544, 476, 276, 281, 6820, 22627, 281, 3955, 3667, 7081, 543, 9061, 4211, 8590, 12480, 690, 1132, 4373, 11328, 3667, 7081, 4016, 547, 519, 2078, 1063, 5931, 267, 1141, 835, 960, 782, 26360, 547, 267, 30172, 267, 610, 18664, 4900, 2609, 689, 1776, 269, 32274, 891, 4296, 32514, 919, 2518, 19929, 543, 15377, 602, 3337, 2199, 6386, 780, 265, 303, 19948, 15846, 16259, 513, 13354, 1353, 540, 595, 785, 699, 12848, 14726, 2066, 1114, 4529, 267, 1519, 519, 4095, 4528, 834, 4537, 342, 564, 1046, 3873, 543, 4173, 654, 17673, 5153, 15948, 2437, 7234, 2009, 8129, 267, 23425, 11507, 267, 543, 2686, 5222, 780, 9961, 713, 1576, 1770, 267, 649, 2832, 547, 6536, 513, 13857, 7071, 585, 4095, 2528, 781, 6988, 543, 6043, 1247, 28798, 10763, 1983, 2629, 585, 10188, 938, 5051, 10562, 1158, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 19328, 568, 513, 2197, 1634, 585, 922, 3638, 2686, 6561, 543, 2189, 9821, 543, 5389, 602, 723, 1044, 4553, 585, 5215, 540, 1296, 269, 1452, 5389, 543, 9821, 616, 606, 7533, 851, 540, 4095, 2528, 602, 12622, 1004, 1927, 563, 5278, 540, 519, 2189, 9821, 543, 5389, 538, 4095, 2528, 1331, 15976, 267, 11951, 267, 8106, 543, 12563, 2575, 543, 7544, 267, 14868, 543, 9821, 1644, 547, 7365, 3092, 269, 4197, 519, 2189, 9821, 543, 5389, 538, 4095, 2528, 3091, 513, 4514, 5813, 883, 519, 17801, 1227, 3309, 5958, 540, 519, 2197, 563, 763, 4295, 5748, 540, 4095, 2528, 6013, 538, 922, 2245, 543, 3638, 6561, 602, 568, 1896, 8536, 1296, 2025, 269, 4340, 547, 12206, 543, 4966, 267, 4095, 2528, 568, 827, 476, 1015, 267, 1822, 1296, 2025, 267, 1818, 621, 835, 540, 519, 9510, 4529, 538, 519, 1158, 563, 7021, 519, 1296, 267, 1114, 5712, 538, 1686, 723, 8032, 4095, 2528, 1107, 519, 3504, 1473, 639, 9503, 10340, 267, 519, 966, 14037, 1974, 267, 32042, 689, 6239, 5607, 267, 519, 4341, 540, 519, 28753, 531, 10504, 543, 2663, 676, 519, 3703, 1701, 780, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 700, 25604, 14473, 595, 6020, 12087, 26113, 1315, 674, 8543, 24079, 267, 28477, 24079, 267, 6181, 1742, 1299, 19088, 1108, 1315, 23305, 1143, 543, 12054, 7821, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1215, 547, 18471, 1055, 513, 1297, 547, 1985, 2789, 540, 476, 276, 1210, 10084, 29441, 2496, 1103, 713, 5850, 267, 649, 786, 1451, 875, 547, 5180, 1055, 513, 1297, 547, 1985, 2789, 540, 476, 276, 1210, 10084, 29441, 286, 1635, 3417, 20055, 7831, 8242, 2433, 5147, 476, 1789, 267, 476, 1708, 274, 692, 1103, 713, 1966, 267, 649, 616, 2016, 513, 13735, 15304, 1297, 269, 3776, 4305, 568, 547, 1265, 513, 1297, 602, 568, 5180, 1055, 540, 519, 1297, 855, 568, 513, 2789, 540, 476, 276, 780, 2080, 267, 649, 786, 1265, 519, 14282, 2789, 540, 476, 276, 540, 519, 2016, 1297, 780, 2080, 267, 616, 930, 2042, 267, 602, 786, 1118, 519, 1966, 20501, 780, 3499, 19152, 281, 476, 6246, 269, 6321, 454, 20479, 281, 476, 3393, 692, 19152, 281, 476, 2641, 454, 20479, 281, 476, 1839, 454, 7884, 306, 6295, 971, 2042, 3322, 519, 946, 540, 2409, 540, 2979, 5399, 538, 795, 822, 2444, 2815, 269, 4635, 24263, 2409, 540, 519, 6498, 540, 519, 1297, 676, 476, 276, 543, 1287, 9062, 519, 17031, 1297, 676, 476, 276, 780, 1012, 6396, 476, 272, 281, 4635, 4569, 269, 576, 559, 3890, 1505, 692, 763, 2979, 269, 576, 559, 3890, 1505, 568, 1031, 547, 2132, 519, 14282, 8870, 3152, 982, 519, 2016, 8870, 780, 2171, 786, 1101, 7941, 519, 1297, 676, 476, 276, 267, 1287, 1780, 519, 1871, 547, 2781, 559, 1505, 543, 9062, 519, 3977, 540, 676, 476, 276, 547, 1205, 519, 1267, 780, 2162, 7151, 692, 3499, 283, 27771, 11417, 12534, 1003, 815, 476, 274, 269, 31404, 272, 3248, 531, 1068, 2891, 928, 11732, 2789, 540, 476, 276, 540, 519, 1297, 568, 2433, 834, 32504, 263, 13043, 269, 576, 559, 16325, 1315, 476, 276, 264, 2608, 476, 276, 4297, 3248, 9572, 27771, 11417, 7884, 20479, 1384, 1012, 6396, 476, 273, 281, 4635, 4569, 269, 28776, 3890, 1505, 692, 1103, 713, 1505, 267, 2638, 2436, 519, 2016, 1297, 568, 16883, 676, 476, 276, 610, 711, 267, 952, 519, 1297, 568, 711, 16883, 676, 476, 276, 267, 1287, 7941, 519, 1297, 676, 476, 276, 543, 1491, 519, 6989, 1871, 543, 1586, 9062, 519, 1297, 676, 476, 276, 543, 1039, 476, 276, 607, 1134, 780, 2162, 7151, 692, 3499, 283, 27771, 11417, 12534, 1535, 815, 476, 10755, 3248, 12534, 1267, 272, 815, 476, 271, 3248, 12534, 1267, 273, 815, 271, 3248, 12534, 1267, 274, 284, 271, 16963, 604, 630, 343, 4939, 476, 276, 2652, 476, 271, 264, 13634, 14310, 272, 815, 4569, 269, 28776, 3287, 1315, 476, 276, 264, 2608, 476, 276, 3248, 348, 3116, 13634, 14310, 272, 815, 630, 13043, 269, 28776, 3287, 1315, 476, 276, 264, 2608, 476, 276, 264, 1341, 476, 276, 3248, 10926, 343, 815, 476, 10482, 3248, 604, 630, 343, 4939, 476, 276, 2652, 476, 271, 264, 13634, 14310, 273, 815, 4569, 269, 28776, 3287, 1315, 476, 276, 264, 2608, 476, 276, 3248, 348, 3116, 13634, 14310, 273, 815, 630, 13043, 269, 28776, 3287, 1315, 476, 276, 264, 2608, 476, 276, 264, 1341, 476, 276, 3248, 10926, 343, 815, 476, 272, 3248, 604, 630, 343, 4939, 476, 276, 2652, 476, 271, 264, 13634, 14310, 274, 815, 4569, 269, 28776, 3287, 1315, 476, 276, 264, 2608, 476, 276, 3248, 348, 3116, 13634, 14310, 274, 815, 630, 13043, 269, 28776, 3287, 1315, 476, 276, 264, 2608, 476, 276, 264, 1341, 476, 276, 3248, 10926, 531, 1068, 2891, 24342, 281, 834, 1341, 1267, 272, 1341, 14307, 834, 1341, 1267, 273, 1341, 14307, 834, 1341, 1267, 274, 11850, 9572, 27771, 11417, 7884, 20479, 281, 0, 258, 13878, 476, 24783, 4303, 476, 276, 476, 1001, 272, 692, 1012, 476, 26604, 273, 2395, 3516, 676, 737, 13062, 1143, 534, 692, 2171, 6170, 519, 2063, 7008, 2053, 7234, 5276, 543, 13392, 4144, 2684, 14932, 4834, 269, 476, 1109, 2026, 596, 666, 1294, 267, 1256, 5266, 2241, 2055, 1831, 1454, 1109, 14551, 518, 2899, 596, 723, 547, 6615, 3054, 547, 8870, 3435, 269, 476, 1109, 4517, 3257, 621, 1510, 1022, 811, 2645, 3587, 5051, 7938, 1752, 344, 780, 3719, 972, 568, 835, 3803, 1383, 540, 513, 2243, 649, 666, 693, 2547, 5905, 593, 269, 476, 1109, 9617, 899, 25355, 2468, 1255, 2097, 267, 693, 741, 2295, 267, 689, 519, 8343, 602, 1269, 274, 317, 273, 266, 275, 317, 273, 284, 276, 317, 273, 259, 910, 606, 4277, 14626, 2064, 609, 2673, 2338, 910, 865, 1932, 267, 649, 666, 5469, 602, 1269, 274, 317, 273, 259, 543, 1269, 273, 317, 274, 259, 616, 1152, 835, 6306, 267, 543, 1269, 276, 317, 273, 259, 543, 1269, 274, 317, 274, 259, 616, 1152, 1079, 4559, 6306, 780, 287, 5793, 716, 1219, 9041, 263, 330, 14352, 272, 267, 15631, 276, 907, 1839, 8079, 2567, 535, 3287, 11971, 6661, 344, 317, 273, 14870, 317, 274, 10275, 533, 815, 17697, 318, 7120, 6600, 267, 263, 343, 16427, 274, 267, 274, 32140, 344, 16427, 277, 267, 277, 1070, 7120, 318, 9557, 815, 476, 1220, 264, 24775, 318, 14186, 815, 20886, 328, 25814, 316, 585, 1775, 538, 30585, 274, 907, 274, 316, 585, 795, 538, 30585, 277, 907, 277, 14963, 4729, 9078, 3430, 823, 318, 14186, 815, 2798, 10857, 3430, 823, 318, 14186, 267, 337, 326, 321, 10233, 14352, 271, 267, 271, 267, 271, 1070, 9557, 1125, 284, 273, 264, 7455, 318, 14186, 815, 1496, 1723, 3581, 585, 1071, 3581, 538, 24775, 318, 14186, 952, 535, 263, 1723, 3581, 314, 271, 3910, 1723, 3581, 314, 272, 8079, 2525, 271, 316, 952, 7003, 263, 2017, 557, 318, 14186, 264, 2525, 271, 281, 1397, 9638, 266, 7120, 9078, 3430, 823, 318, 14186, 267, 4453, 21653, 815, 1496, 276, 267, 276, 3910, 2460, 318, 7806, 1470, 284, 272, 264, 3116, 281, 4729, 318, 2017, 557, 318, 14186, 815, 2798, 263, 2017, 557, 318, 14186, 267, 678, 326, 321, 10233, 815, 630, 271, 267, 271, 267, 272, 1070, 9557, 1125, 284, 736, 264, 1397, 9638, 266, 7120, 9078, 3430, 823, 318, 14186, 266, 7120, 318, 2017, 557, 318, 14186, 267, 4453, 21653, 815, 1496, 276, 267, 276, 8079, 16814, 2891, 22069, 1903, 540, 1269, 343, 317, 274, 266, 260, 338, 284, 344, 317, 273, 259, 538, 713, 13156, 6885, 257, 260, 263, 330, 267, 11723, 1012, 8437, 547, 519, 2451, 1586, 547, 12404, 543, 2899, 811, 547, 1397, 519, 6422, 7317, 6885, 692, 1607, 568, 1634, 607, 645, 659, 2867, 781, 3830, 1109, 528, 519, 631, 867, 749, 3830, 269, 476, 1109, 300, 867, 749, 267, 606, 2038, 476, 736, 628, 10601, 22301, 267, 9863, 602, 972, 616, 1152, 1710, 7019, 1109, 28236, 8870, 3435, 585, 513, 2016, 1269, 330, 259, 282, 2705, 267, 4466, 873, 782, 910, 610, 1256, 930, 256, 910, 7140, 856, 547, 581, 3833, 16602, 267, 2523, 2094, 1082, 723, 1100, 1109, 338, 1828, 630, 5408, 713, 2985, 585, 930, 7515, 540, 1018, 568, 1109, 4385, 6393, 2005, 7140, 856, 602, 713, 267, 1932, 267, 814, 11212, 2620, 4296, 547, 834, 22088, 10364, 14258, 2580, 543, 602, 568, 2614, 2601, 547, 1353, 873, 269, 476, 1109, 4913, 267, 621, 568, 4277, 602, 972, 616, 930, 799, 616, 1008, 762, 676, 811, 10026, 1797, 267, 543, 2663, 713, 19496, 594, 4126, 547, 723, 721, 798, 513, 1906, 269, 476, 1109, 293, 12938, 10645, 519, 1269, 1839, 266, 273, 284, 2767, 259, 729, 519, 1152, 3070, 585, 1269, 330, 284, 273, 8961, 855, 1256, 25586, 781, 6169, 540, 713, 729, 25768, 269, 476, 1109, 292, 17526, 781, 6169, 538, 476, 15876, 279, 602, 1269, 280, 268, 272, 284, 279, 259, 729, 519, 1152, 1875, 13700, 20190, 3070, 547, 1269, 330, 15871, 272, 8961, 2705, 267, 568, 2953, 910, 543, 3096, 519, 1482, 1505, 540, 1412, 8882, 9548, 16350, 262, 547, 1256, 1397, 602, 972, 5749, 1405, 1256, 1022, 824, 7787, 1297, 1109, 338, 30055, 547, 1269, 344, 317, 273, 268, 272, 24210, 317, 274, 16859, 1607, 568, 849, 1644, 547, 513, 1109, 854, 2025, 2243, 799, 729, 1572, 18280, 534, 781, 28756, 675, 910, 12077, 267, 616, 972, 1022, 1109, 1278, 15654, 3501, 7060, 824, 982, 476, 279, 543, 476, 280, 2496, 754, 318, 9792, 284, 1015, 27883, 343, 28872, 11971, 267, 336, 264, 585, 1535, 538, 2039, 263, 272, 267, 754, 318, 9792, 264, 585, 586, 538, 2039, 263, 272, 267, 754, 318, 9792, 264, 585, 533, 538, 2039, 263, 273, 267, 754, 318, 9792, 264, 585, 7117, 538, 2039, 263, 273, 267, 754, 318, 9792, 264, 952, 1535, 317, 335, 266, 272, 2525, 344, 317, 336, 2639, 27883, 273, 267, 476, 274, 267, 476, 274, 267, 476, 273, 13580, 27883, 273, 267, 476, 274, 267, 476, 274, 267, 476, 273, 264, 6540, 296, 4718, 713, 729, 1572, 18280, 534, 781, 28756, 675, 1317, 267, 607, 540, 476, 1220, 273, 267, 621, 568, 631, 8811, 841, 525, 30501, 781, 14497, 256, 1109, 6423, 713, 3095, 585, 513, 8799, 7650, 540, 519, 1686, 630, 4707, 1394, 607, 2484, 607, 519, 476, 6344, 271, 338, 6393, 3086, 621, 781, 942, 547, 6338, 6148, 519, 1034, 1271, 1523, 538, 519, 2898, 1576, 910, 835, 596, 616, 2907, 7168, 5432, 609, 269, 476, 1109, 6546, 568, 519, 1523, 540, 6305, 1109, 11133, 1499, 780, 1892, 589, 2318, 8870, 1269, 335, 259, 3152, 982, 476, 272, 568, 1572, 6305, 1109, 604, 519, 1152, 2318, 16975, 540, 1269, 335, 259, 616, 1269, 272, 259, 543, 1269, 335, 259, 3294, 563, 1892, 1403, 606, 8870, 1269, 333, 285, 272, 259, 568, 711, 6305, 267, 621, 568, 1572, 12432, 780, 2026, 596, 917, 267, 519, 1101, 1906, 22136, 616, 1269, 273, 267, 274, 267, 276, 267, 278, 267, 1556, 12101, 24126, 259, 476, 1109, 6546, 1797, 1269, 275, 267, 277, 267, 279, 267, 280, 267, 1015, 267, 1321, 315, 24126, 259, 616, 12432, 780, 19350, 267, 649, 6338, 513, 1906, 590, 720, 3252, 585, 713, 269, 476, 1109, 4467, 906, 593, 873, 616, 2016, 1310, 1412, 258, 262, 4191, 780, 529, 318, 18905, 263, 276, 5148, 568, 318, 18905, 263, 277, 264, 1948, 1772, 1250, 1297, 513, 6305, 262, 286, 7055, 6936, 8771, 6936, 8771, 454, 529, 318, 18905, 7272, 1077, 263, 1839, 5148, 529, 318, 18905, 7272, 1077, 263, 2918, 264, 1948, 1772, 1250, 1297, 513, 6305, 1379, 262, 286, 7055, 6936, 8771, 6936, 8771, 454, 18905, 318, 9792, 263, 1911, 264, 1948, 1548, 616, 782, 22136, 909, 547, 855, 711, 1519, 476, 1911, 262, 286, 7055, 1496, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 267, 476, 3066, 267, 476, 4029, 267, 476, 4391, 267, 476, 6078, 267, 476, 6246, 267, 476, 5325, 267, 476, 7871, 267, 476, 6795, 267, 476, 8618, 267, 476, 6858, 267, 476, 10170, 267, 476, 10463, 267, 476, 8064, 267, 476, 10695, 267, 476, 8660, 267, 476, 9032, 316, 1496, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 267, 476, 3066, 267, 476, 4029, 267, 476, 4391, 267, 476, 6078, 267, 476, 6246, 267, 476, 5325, 267, 476, 7871, 267, 476, 6795, 267, 476, 8618, 267, 476, 6858, 267, 476, 10170, 267, 476, 10463, 267, 476, 8064, 267, 476, 10695, 267, 476, 8660, 267, 476, 9032, 2639, 1440, 1307, 6958, 1009, 5332, 263, 1911, 264, 1948, 1548, 616, 519, 1101, 476, 1911, 22136, 262, 286, 7055, 1496, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1556, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 2537, 267, 476, 3066, 267, 476, 4029, 267, 476, 4391, 267, 476, 6078, 267, 476, 6246, 267, 476, 5325, 267, 476, 7871, 267, 476, 6795, 267, 476, 8618, 267, 476, 6858, 267, 476, 10170, 267, 476, 10463, 267, 476, 8064, 267, 476, 10695, 267, 476, 8660, 267, 476, 9032, 267, 476, 6200, 267, 476, 9818, 267, 476, 13040, 267, 476, 11820, 267, 476, 13647, 267, 476, 14096, 267, 476, 14530, 267, 476, 15389, 267, 476, 16928, 267, 476, 14983, 267, 476, 14681, 267, 476, 14991, 267, 476, 14321, 267, 476, 15757, 267, 476, 15876, 267, 476, 9692, 267, 476, 8687, 267, 476, 4489, 267, 476, 4350, 267, 476, 3192, 267, 476, 1960, 267, 476, 21076, 267, 476, 23417, 267, 476, 25375, 267, 476, 26631, 267, 476, 22001, 267, 476, 26839, 267, 476, 25240, 267, 476, 25172, 267, 476, 27038, 267, 476, 28091, 267, 476, 29483, 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 ]
[ 1491, 513, 1413, 693, 28977, 540, 18289, 269, 630, 10673, 1406, 4413, 519, 476, 276, 628, 1966, 593, 519, 19509, 2522, 2985, 4700, 960, 547, 1847, 519, 1843, 950, 9301, 519, 2179, 540, 8904, 543, 3196, 593, 519, 1843, 269, 1677, 4194, 585, 31302, 6991, 649, 786, 991, 547, 1491, 519, 12045, 540, 938, 2990, 1599, 269, 6904, 3029, 540, 5163, 798, 789, 4766, 286, 5221, 7299, 3350, 538, 519, 3919, 568, 606, 14156, 9901, 2680, 267, 2359, 779, 6662, 538, 13319, 568, 2141, 547, 2697, 543, 2824, 519, 1655, 11727, 11134, 269, 24665, 566, 1813, 547, 8904, 630, 326, 264, 815, 910, 1015, 544, 4882, 273, 630, 326, 1508, 14263, 1129, 1317, 519, 4287, 540, 8904, 568, 18746, 12834, 15311, 1677, 1265, 519, 3830, 540, 5163, 540, 513, 1448, 899, 9325, 630, 1122, 269, 5851, 9732, 3163, 9732, 8212, 9732, 1215, 547, 16534, 26432, 8562, 983, 18289, 10819, 269, 1284, 616, 4758, 513, 2143, 543, 2312, 6656, 593, 782, 8212, 11872, 602, 616, 1360, 3730, 547, 1174, 519, 9978, 8212, 16610, 269, 634, 8082, 3196, 540, 519, 18052, 568, 1862, 476, 272, 269, 1809, 1018, 952, 519, 1788, 850, 568, 9250, 16057, 693, 606, 5086, 547, 519, 8880, 286, 476, 6200, 7918, 1923, 476, 3953, 1923, 476, 275, 269, 2368, 1806, 540, 9764, 5163, 616, 513, 3440, 13615, 547, 513, 5569, 543, 2220, 2426, 538, 513, 5858, 267, 513, 1286, 2921, 513, 7455, 593, 513, 3950, 3092, 269, 476, 273, 1323, 30981, 267, 1519, 15915, 267, 814, 513, 2527, 540, 476, 5611, 271, 4846, 269, 1306, 519, 1788, 850, 14380, 2509, 922, 8445, 267, 621, 568, 23646, 1524, 630, 866, 269, 277, 544, 4882, 547, 476, 280, 269, 279, 544, 4882, 547, 476, 271, 544, 4882, 5148, 543, 607, 621, 8813, 689, 922, 8445, 267, 621, 568, 3432, 532, 909, 630, 271, 544, 4882, 547, 476, 280, 269, 279, 544, 4882, 547, 476, 866, 269, 277, 544, 4882, 547, 3267, 1040, 1284, 786, 1451, 602, 782, 1788, 3796, 2887, 11884, 896, 8904, 543, 17108, 693, 1412, 326, 262, 2436, 789, 616, 3001, 909, 610, 1524, 269, 634, 8880, 5163, 540, 519, 1788, 850, 568, 519, 1267, 540, 519, 12402, 540, 1022, 1843, 538, 5163, 547, 2611, 538, 5163, 693, 3586, 6991, 269, 26432, 18289, 269, 5741, 3796, 2951, 609, 513, 1612, 20326, 18330, 1813, 547, 519, 3310, 540, 8904, 269, 1452, 1482, 1079, 2035, 1223, 581, 13269, 676, 513, 3349, 20515, 875, 519, 1535, 268, 543, 586, 16327, 9426, 540, 519, 6991, 4268, 609, 942, 269, 3004, 915, 800, 910, 21222, 22667, 5487, 684, 3481, 5741, 3796, 5999, 267, 966, 26662, 910, 18289, 543, 17086, 538, 5565, 17435, 5014, 267, 8562, 983, 267, 31420, 267, 543, 15585, 1049, 18289, 267, 21222, 22667, 5487, 684, 3481, 5741, 850, 10819, 267, 6348, 6953, 528, 714, 22667, 5487, 684, 3481, 5741, 850, 10819, 267, 972, 568, 513, 7299, 3196, 9117, 2390, 513, 1788, 850, 855, 1100, 8880, 3196, 267, 15566, 585, 513, 17564, 540, 2598, 10293, 269, 5741, 850, 5163, 568, 519, 5163, 540, 606, 1843, 16207, 610, 15810, 883, 519, 2011, 267, 1641, 547, 1152, 519, 10231, 540, 8904, 269, 1280, 1875, 268, 1817, 714, 22667, 9250, 1788, 3796, 267, 519, 4287, 540, 519, 6991, 6152, 568, 3006, 2808, 1341, 593, 519, 1259, 909, 543, 910, 593, 519, 1259, 1524, 282, 2943, 519, 9588, 540, 519, 7299, 6991, 630, 328, 4318, 1421, 7299, 3432, 264, 568, 519, 1482, 606, 3160, 8884, 540, 942, 593, 2901, 2427, 540, 922, 8445, 269, 634, 10230, 6609, 540, 519, 12761, 540, 513, 1788, 850, 568, 5941, 538, 519, 1985, 3296, 540, 7689, 476, 273, 269, 12430, 5163, 693, 606, 5086, 18746, 269, 8447, 7070, 1315, 6103, 476, 1321, 1315, 26432, 5741, 850, 18289, 538, 476, 272, 291, 269, 1548, 568, 519, 4463, 540, 3440, 645, 950, 621, 13341, 3440, 589, 269, 2016, 14263, 1129, 1317, 519, 4287, 540, 267, 634, 4463, 540, 3440, 645, 950, 621, 13341, 3440, 589, 630, 327, 1070, 14419, 3803, 6991, 540, 1788, 850, 5163, 267, 5262, 3555, 676, 513, 2582, 1793, 527, 1107, 2042, 543, 3435, 269, 1452, 2418, 616, 1535, 268, 543, 586, 16327, 7859, 540, 519, 3355, 6991, 543, 786, 581, 5941, 538, 811, 1469, 538, 519, 1985, 851, 540, 713, 3992, 269, 1677, 798, 476, 277, 1295, 1224, 269, 634, 1843, 7575, 689, 11466, 1448, 547, 519, 1862, 476, 272, 2034, 2663, 267, 689, 519, 1482, 2990, 267, 11831, 645, 568, 16207, 19794, 16057, 693, 519, 1482, 2619, 267, 609, 519, 3432, 540, 269, 26432, 5741, 850, 18289, 269, 630, 310, 597, 914, 571, 577, 1084, 32489, 28576, 335, 601, 12323, 601, 530, 773, 538, 2806, 321, 843, 2426, 476, 273, 546, 17999, 749, 339, 269, 13966, 586, 14289, 281, 7833, 10231, 267, 3743, 585, 519, 7299, 630, 6658, 2072, 264, 5163, 540, 519, 9325, 269, 898, 568, 2417, 9286, 607, 7833, 543, 1875, 10595, 6134, 9764, 5163, 269, 5741, 3796, 2334, 616, 3502, 5487, 684, 3481, 269, 634, 2619, 540, 513, 1788, 850, 568, 1612, 20326, 543, 568, 5219, 547, 607, 922, 18330, 269, 476, 272, 2034, 2663, 267, 689, 519, 1482, 2990, 267, 11831, 645, 568, 16207, 19794, 16057, 693, 2560, 634, 10814, 7923, 547, 519, 30981, 11851, 338, 606, 16057, 3196, 540, 476, 1240, 476, 1822, 301, 269, 589, 268, 693, 519, 3490, 540, 519, 15958, 269, 901, 568, 547, 2161, 602, 519, 7299, 6991, 2242, 676, 476, 280, 269, 279, 544, 4882, 1142, 2034, 543, 519, 8880, 6991, 2760, 2242, 269, 769, 5149, 476, 273, 540, 519, 8212, 15858, 20861, 267, 649, 4121, 875, 13053, 781, 4031, 948, 547, 2491, 519, 5163, 630, 663, 4481, 267, 519, 2242, 538, 519, 1533, 540, 5163, 264, 540, 3615, 602, 616, 2901, 693, 1964, 610, 3001, 538, 476, 272, 1673, 574, 3290, 269, 1323, 1843, 5854, 919, 609, 513, 4908, 540, 476, 276, 21636, 547, 1318, 1189, 543, 2451, 1189, 269, 476, 7871, 281, 7918, 269, 1548, 568, 519, 4463, 540, 3440, 645, 950, 621, 13341, 3440, 589, 269, 769, 713, 3992, 649, 798, 9273, 689, 11708, 540, 5163, 8204, 7299, 1788, 850, 5163, 269, 26432, 18289, 1107, 10230, 338, 630, 1721, 6673, 6323, 267, 808, 7417, 267, 17252, 4953, 267, 654, 289, 297, 7417, 264, 476, 274, 264, 589, 1612, 778, 583, 626, 27312, 693, 513, 3586, 2557, 540, 476, 273, 269, 271, 544, 4882, 12772, 513, 8673, 666, 3563, 693, 513, 4463, 540, 476, 4968, 544, 269, 4855, 519, 942, 585, 519, 8673, 666, 3563, 547, 3914, 519, 2666, 543, 922, 6991, 950, 621, 16716, 519, 2666, 269, 1703, 616, 1614, 14742, 540, 3350, 281, 32371, 527, 2145, 7077, 910, 513, 7299, 7077, 602, 17337, 519, 1560, 883, 2451, 543, 1318, 5011, 269, 1280, 1169, 1843, 267, 519, 14965, 3196, 3123, 513, 3586, 10231, 540, 476, 3953, 269, 273, 10264, 4882, 273, 610, 476, 280, 269, 279, 544, 4882, 273, 2509, 519, 3047, 269, 769, 5149, 476, 272, 540, 519, 8212, 15858, 20861, 267, 649, 4121, 513, 3099, 540, 1797, 547, 4766, 519, 476, 272, 8820, 5163, 540, 3615, 269, 6103, 476, 1321, 1923, 6258, 2473, 10177, 14970, 476, 1001, 275, 269, 18899, 264, 3001, 593, 513, 11508, 1652, 267, 7299, 3391, 540, 3830, 586, 815, 535, 3287, 264, 896, 519, 8904, 3196, 269, 16532, 654, 5896, 2433, 634, 4463, 540, 3440, 645, 950, 621, 13341, 3440, 589, 630, 327, 1070, 476, 1015, 343, 1341, 476, 16006, 11196, 1015, 264, 1535, 273, 815, 476, 1839, 630, 343, 268, 272, 264, 1341, 476, 16006, 11196, 1015, 264, 630, 343, 268, 272, 264, 273, 267, 1107, 476, 276, 343, 273, 1341, 476, 276, 343, 273, 1341, 476, 1015, 343, 1107, 476, 1839, 343, 1107, 476, 1015, 343, 1341, 476, 1839, 1341, 476, 276, 815, 476, 271, 267, 5384, 8884, 3440, 589, 538, 2011, 1354, 621, 13341, 3440, 645, 815, 476, 272, 269, 273, 7643, 269, 7454, 574, 5443, 27119, 5884, 20698, 9792, 8566, 548, 747, 684, 2102, 269, 769, 1034, 540, 519, 2665, 540, 1788, 850, 5163, 267, 519, 7299, 5057, 568, 1813, 547, 519, 2962, 540, 8904, 269, 1879, 606, 1843, 568, 16207, 909, 267, 621, 2141, 2501, 1524, 267, 607, 621, 568, 4299, 676, 519, 10231, 1813, 547, 8904, 269, 634, 4463, 540, 3440, 589, 950, 621, 13341, 3440, 645, 2433, 554, 815, 21350, 512, 1341, 476, 16006, 575, 512, 273, 815, 630, 1015, 7565, 272, 269, 273, 264, 1341, 476, 272, 270, 273, 11196, 1015, 7565, 272, 269, 273, 264, 273, 815, 476, 1321, 1107, 476, 276, 263, 272, 269, 4510, 264, 815, 476, 1321, 1107, 476, 278, 269, 273, 815, 476, 275, 269, 279, 7397, 269, 1215, 547, 16534, 26432, 8562, 983, 18289, 10819, 269, 476, 272, 269, 1215, 1131, 519, 10230, 2418, 8428, 689, 519, 5892, 3254, 6516, 585, 513, 23276, 9250, 1788, 850, 286, 476, 272, 2034, 2663, 267, 689, 519, 1482, 2990, 267, 11831, 645, 568, 16207, 19794, 16057, 693, 519, 1482, 2619, 267, 609, 519, 3432, 540, 476, 1839, 544, 4882, 269, 476, 274, 269, 634, 1657, 12222, 267, 7515, 267, 543, 4901, 829, 1555, 547, 875, 519, 8880, 543, 7299, 3334, 540, 519, 6991, 6152, 1689, 609, 942, 1282, 519, 1576, 540, 1788, 850, 781, 18330, 269, 6270, 513, 6516, 568, 3254, 2630, 269, 901, 2376, 3568, 606, 1383, 6323, 2599, 799, 666, 581, 1031, 538, 513, 2480, 337, 2255, 1788, 269, 1924, 649, 1589, 519, 18219, 519, 1560, 267, 519, 5488, 621, 786, 2887, 269, 2311, 519, 8445, 3294, 267, 519, 7299, 6991, 568, 476, 271, 544, 4882, 282, 519, 6991, 6152, 568, 7357, 8880, 693, 713, 1448, 538, 519, 18330, 269, 5147, 476, 2537, 267, 476, 1001, 276, 269, 676, 715, 760, 684, 269, 769, 713, 2661, 6103, 476, 1321, 8447, 7070, 1397, 649, 1865, 5741, 850, 18289, 630, 13420, 725, 1299, 28977, 1040, 589, 1788, 850, 568, 606, 1843, 2390, 799, 519, 1152, 3196, 568, 8904, 269, 769, 6323, 267, 519, 5163, 540, 513, 1788, 850, 666, 581, 7745, 1524, 883, 1079, 3334, 281, 8880, 543, 7299, 16638, 1034, 2665, 267, 519, 7299, 5057, 568, 519, 5163, 3361, 676, 8904, 9117, 593, 519, 1843, 269, 769, 824, 1913, 267, 1282, 16057, 3350, 267, 519, 3440, 568, 3001, 609, 29472, 566, 269, 8212, 9817, 616, 4122, 2966, 2899, 543, 1031, 585, 1082, 3785, 610, 22666, 676, 824, 3755, 547, 4688, 519, 942, 540, 973, 11661, 835, 269, 1703, 616, 1100, 8880, 4229, 9117, 2390, 1788, 3796, 543, 3976, 1100, 8880, 10231, 269, 10414, 540, 8904, 543, 14965, 2361, 1107, 2042, 543, 3435, 267, 3474, 20326, 5163, 267, 960, 543, 15452, 1648, 267, 5276, 11610, 267, 5276, 543, 16070, 5163, 1107, 2042, 543, 3435, 267, 3690, 2091, 6329, 1107, 2042, 543, 3435, 267, 17726, 540, 519, 7344, 6329, 1107, 2042, 543, 3435, 267, 11822, 23191, 5163, 1107, 2042, 543, 3435, 269, 589, 3440, 568, 16207, 689, 519, 1283, 540, 513, 2679, 609, 606, 3355, 3432, 540, 476, 279, 544, 4882, 693, 606, 5086, 540, 1862, 476, 272, 269, 2160, 8212, 3883, 281, 20145, 15369, 8212, 630, 306, 1013, 1157, 264, 11730, 589, 281, 918, 27282, 267, 6465, 923, 267, 543, 26457, 19392, 3267, 2290, 540, 519, 4277, 1919, 827, 1788, 850, 5163, 568, 602, 519, 8880, 5163, 568, 4830, 540, 519, 7299, 5163, 269, 3371, 649, 786, 581, 7234, 513, 2027, 1826, 540, 5163, 1634, 607, 7299, 9764, 5163, 269, 31962, 602, 538, 1863, 6420, 267, 606, 1843, 16111, 2833, 513, 18746, 10231, 540, 3230, 280, 269, 3199, 315, 13320, 31551, 2410, 338, 317, 273, 6525, 855, 814, 1100, 8880, 10231, 269, 13565, 8249, 269, 11088, 267, 519, 1271, 1523, 13269, 538, 519, 1657, 6516, 568, 602, 519, 8880, 6991, 3788, 3586, 1282, 519, 1576, 540, 519, 18330, 543, 519, 7299, 6991, 2242, 676, 476, 280, 269, 279, 544, 4882, 1169, 2034, 269, 630, 322, 264, 14803, 826, 602, 17817, 476, 275, 269, 736, 1131, 581, 10858, 547, 519, 22571, 538, 713, 3510, 269, 3350, 9308, 2164, 689, 519, 13506, 3196, 540, 829, 2389, 7875, 566, 12503, 269, 634, 6037, 1049, 3432, 540, 519, 3440, 568, 476, 274, 269, 2004, 544, 4882, 693, 519, 5377, 540, 519, 4473, 269, 476, 277, 269, 4354, 1386, 5163, 18746, 609, 3355, 2357, 268, 512, 673, 6991, 269, 8447, 7070, 1315, 6103, 476, 1321, 1315, 26432, 5741, 850, 18289, 538, 476, 272, 291, 269, 11831, 589, 28520, 19794, 16057, 609, 519, 3432, 540, 476, 1015, 544, 4882, 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 ]
[ 267, 513, 1895, 799, 7363, 8255, 6030, 543, 6585, 2621, 585, 1346, 945, 2972, 1612, 778, 5024, 607, 513, 7328, 563, 23389, 1612, 520, 549, 641, 619, 12628, 883, 11511, 974, 538, 2904, 476, 3707, 272, 267, 606, 2680, 799, 1318, 13617, 17119, 1235, 1616, 547, 29428, 602, 538, 2198, 563, 763, 12289, 540, 11511, 974, 729, 5921, 676, 13609, 547, 581, 1175, 513, 7903, 1478, 602, 1131, 4196, 607, 513, 3490, 585, 741, 2417, 12289, 540, 11335, 2477, 543, 6038, 519, 12289, 540, 6576, 563, 763, 2228, 22045, 17435, 758, 7806, 807, 5240, 1572, 519, 6069, 11018, 621, 513, 968, 576, 30503, 1674, 540, 31081, 712, 6100, 661, 4338, 267, 799, 524, 2572, 606, 7969, 2232, 267, 2663, 3576, 519, 1289, 689, 922, 3896, 563, 3719, 519, 661, 4338, 16968, 5259, 2923, 3136, 547, 1397, 568, 796, 25406, 5914, 269, 968, 2005, 779, 1044, 4010, 476, 3199, 1296, 2094, 519, 16918, 10136, 540, 519, 12059, 25415, 29860, 883, 11511, 974, 543, 22482, 519, 6532, 269, 1284, 786, 2760, 7340, 741, 24123, 10100, 2223, 621, 3081, 269, 634, 15468, 1131, 581, 4378, 10696, 689, 476, 1704, 268, 2537, 2904, 563, 26222, 1004, 5706, 454, 31528, 2923, 1867, 602, 519, 13539, 6035, 15143, 547, 11511, 974, 585, 476, 18458, 20789, 338, 267, 8537, 540, 11564, 547, 4436, 6749, 10851, 269, 1358, 13712, 8128, 607, 15372, 539, 1813, 547, 12438, 619, 685, 4566, 1510, 519, 31350, 534, 15678, 4536, 563, 4002, 476, 736, 2904, 476, 3707, 272, 267, 1739, 5230, 10514, 731, 618, 267, 519, 4436, 1612, 520, 549, 641, 619, 630, 293, 8712, 577, 3305, 329, 7564, 3455, 1107, 12777, 1612, 778, 1393, 21962, 264, 12628, 593, 547, 519, 7887, 5259, 6532, 269, 1703, 941, 5230, 25096, 1851, 5259, 267, 3703, 267, 1323, 345, 659, 10136, 543, 4436, 8396, 1218, 269, 15845, 540, 602, 3788, 693, 513, 28200, 585, 3592, 476, 275, 267, 4335, 4436, 10136, 693, 5689, 30937, 593, 519, 5087, 5032, 563, 763, 11135, 540, 11511, 974, 729, 519, 1101, 942, 4436, 10136, 11402, 1483, 4187, 689, 8723, 4961, 538, 741, 15292, 2066, 2342, 563, 293, 15127, 4187, 540, 31350, 753, 1107, 930, 540, 873, 2021, 267, 11439, 609, 2156, 1682, 543, 15524, 12069, 2443, 5921, 602, 1082, 540, 519, 4436, 1612, 778, 583, 1235, 941, 2527, 659, 1042, 607, 789, 6083, 730, 547, 519, 2666, 269, 634, 12289, 729, 5706, 539, 865, 1134, 676, 31350, 534, 21127, 519, 13303, 10136, 941, 536, 690, 3022, 1524, 972, 865, 1279, 602, 519, 9709, 12289, 540, 6576, 729, 2322, 1055, 2394, 519, 5162, 5503, 269, 0, 2690, 713, 1957, 267, 596, 3580, 1865, 2901, 15537, 14480, 333, 779, 968, 763, 29042, 892, 610, 18040, 10748, 523, 779, 968, 763, 32148, 18299, 523, 892, 1765, 527, 779, 909, 547, 596, 269, 2659, 3804, 568, 547, 2328, 606, 1011, 1709, 540, 707, 6074, 6648, 267, 4553, 676, 606, 7664, 540, 621, 269, 2368, 27792, 281, 763, 1011, 1709, 1058, 2874, 540, 519, 1101, 1079, 610, 1614, 9433, 269, 5457, 602, 606, 1011, 1709, 4422, 998, 519, 6648, 689, 4098, 547, 1439, 267, 543, 23607, 875, 621, 1568, 269, 6884, 621, 6645, 519, 5467, 1018, 519, 6648, 12777, 3081, 267, 855, 1152, 952, 2556, 267, 607, 609, 519, 9956, 1383, 689, 519, 3992, 32503, 1810, 1406, 1616, 547, 9933, 622, 707, 5467, 676, 3257, 713, 952, 519, 1913, 616, 7168, 1582, 17272, 1211, 267, 2705, 269, 15332, 1175, 28388, 519, 1257, 267, 606, 1011, 1709, 849, 11828, 875, 519, 6648, 5932, 11052, 267, 11281, 267, 22565, 267, 17279, 282, 538, 2110, 267, 875, 646, 24172, 3096, 1543, 543, 3280, 3457, 267, 543, 547, 1018, 3483, 269, 2334, 568, 267, 1810, 1406, 1175, 1448, 856, 602, 1945, 30053, 267, 610, 602, 513, 1880, 2511, 540, 2262, 3903, 568, 1031, 267, 2995, 721, 1018, 519, 1198, 540, 713, 568, 593, 519, 5467, 16638, 519, 2034, 851, 540, 519, 1957, 267, 1586, 9967, 540, 1614, 610, 865, 9433, 267, 596, 3580, 2328, 606, 7664, 269, 901, 3085, 1406, 979, 998, 519, 6648, 689, 4098, 547, 1439, 267, 855, 10416, 3947, 606, 4661, 7282, 875, 649, 1058, 1491, 519, 6648, 779, 2495, 1765, 6343, 621, 779, 10213, 721, 827, 1272, 267, 610, 2648, 267, 610, 2112, 267, 610, 2486, 267, 610, 8726, 269, 634, 7664, 3884, 1406, 1175, 513, 803, 663, 1359, 9066, 267, 2705, 32503, 1058, 10891, 707, 4555, 543, 946, 19722, 689, 519, 6648, 538, 1931, 547, 2731, 18609, 519, 5467, 602, 707, 1259, 540, 3168, 693, 519, 10564, 779, 15752, 568, 2731, 519, 1318, 835, 269, 7661, 281, 713, 1957, 568, 1945, 540, 606, 3635, 267, 2966, 547, 1205, 596, 8026, 1011, 1709, 543, 7664, 538, 4434, 540, 519, 11759, 10495, 1788, 269, 5221, 540, 602, 267, 596, 798, 711, 991, 547, 2328, 606, 4367, 543, 513, 3932, 267, 519, 1259, 596, 7363, 1131, 609, 1022, 1557, 269, 1280, 713, 3018, 267, 1175, 1376, 609, 519, 1011, 1709, 267, 543, 1439, 609, 519, 7664, 269, 25215, 2945, 7433, 13832, 763, 1557, 8813, 1369, 519, 476, 1911, 271, 268, 5611, 271, 2262, 2039, 267, 543, 3085, 1406, 946, 15988, 1663, 748, 610, 968, 325, 14525, 892, 1913, 547, 3035, 621, 7868, 1557, 6799, 513, 2312, 3210, 547, 519, 5401, 267, 543, 18113, 543, 3927, 7028, 922, 4661, 1210, 2312, 7954, 267, 21849, 4704, 267, 543, 20310, 20116, 269, 2690, 12987, 602, 798, 711, 2154, 606, 4661, 267, 519, 1557, 5693, 31267, 519, 7150, 3853, 543, 8499, 20781, 547, 782, 3344, 540, 519, 5401, 7868, 1557, 6920, 513, 1164, 1377, 540, 6169, 15105, 269, 898, 5693, 267, 7561, 267, 543, 12461, 14688, 2306, 922, 2798, 267, 543, 3096, 3617, 11239, 2409, 952, 2556, 563, 3963, 4518, 609, 2974, 454, 12749, 10866, 543, 4270, 268, 4910, 792, 3481, 14430, 454, 2171, 2141, 1118, 2386, 602, 5830, 1246, 782, 707, 5528, 10502, 269, 1411, 666, 3442, 707, 4081, 1377, 281, 1164, 1153, 267, 2852, 270, 684, 1751, 610, 3318, 267, 543, 649, 786, 3651, 513, 5856, 945, 814, 513, 9757, 4110, 563, 32153, 543, 5438, 27624, 14288, 19536, 454, 2171, 723, 513, 2319, 540, 3318, 5830, 609, 1995, 538, 4081, 543, 1870, 1603, 269, 3509, 616, 5065, 10529, 543, 2111, 547, 1685, 1022, 4305, 585, 799, 596, 991, 948, 563, 10403, 1133, 15905, 4860, 2888, 454, 2252, 596, 1589, 649, 14406, 1945, 267, 6494, 707, 1931, 585, 513, 1863, 14469, 269, 1411, 723, 476, 1015, 2395, 547, 10505, 519, 1931, 585, 2689, 1310, 596, 723, 4607, 519, 3803, 3561, 269, 1411, 666, 798, 713, 3054, 1310, 19883, 883, 707, 2123, 2272, 610, 676, 32296, 938, 1489, 563, 23220, 696, 24822, 543, 476, 1911, 260, 14559, 5174, 871, 8566, 340, 5875, 2465, 454, 5472, 4574, 616, 2141, 9447, 593, 942, 269, 769, 2013, 649, 991, 811, 942, 547, 4487, 707, 1957, 267, 649, 949, 3346, 596, 3823, 519, 21120, 10137, 269, 769, 2013, 596, 3112, 1683, 721, 609, 811, 942, 267, 513, 476, 1911, 260, 32479, 568, 16798, 563, 24314, 1299, 4762, 7808, 454, 2171, 946, 1896, 1603, 2645, 11974, 547, 2327, 602, 782, 6054, 596, 4309, 616, 1863, 689, 17096, 269, 3776, 15769, 5402, 2689, 782, 24185, 538, 519, 1257, 269, 1284, 849, 9153, 5021, 22637, 538, 782, 540, 938, 2533, 563, 2190, 270, 278, 21436, 8081, 454, 5978, 1489, 8069, 616, 2139, 476, 2190, 3108, 513, 1554, 476, 278, 2395, 513, 3018, 543, 8149, 547, 3246, 596, 609, 519, 1655, 6075, 1995, 269, 5192, 538, 5905, 8164, 596, 991, 1022, 6351, 563, 2521, 621, 1631, 2336, 1692, 621, 1568, 888, 10287, 891, 2241, 3268, 547, 1205, 707, 1957, 2944, 454, 20278, 707, 1931, 454, 293, 650, 538, 519, 1931, 1106, 543, 1683, 782, 3877, 540, 707, 7084, 563, 3682, 3865, 609, 519, 8569, 454, 16521, 519, 8569, 1062, 602, 17015, 596, 1034, 563, 3725, 576, 633, 519, 3803, 3758, 454, 5629, 707, 1957, 568, 4712, 267, 649, 786, 4757, 621, 547, 596, 563, 5591, 991, 547, 960, 593, 707, 1957, 693, 3781, 269, 12619, 9395, 267, 649, 786, 3382, 707, 1394, 269, 1284, 2709, 782, 5686, 540, 1603, 2533, 563, 5591, 2339, 1018, 2186, 540, 4081, 1957, 596, 991, 543, 875, 14849, 596, 991, 621, 267, 596, 616, 10950, 547, 3442, 707, 4081, 1377, 543, 519, 1826, 540, 707, 1957, 693, 606, 10097, 3902, 269, 1284, 1491, 1416, 540, 782, 707, 1957, 2115, 543, 2285, 513, 476, 2190, 270, 278, 6075, 1416, 1489, 1062, 563, 3849, 3939, 10749, 1299, 6355, 5675, 6435, 454, 2304, 16075, 1557, 568, 606, 1557, 610, 824, 2854, 3948, 676, 513, 11134, 267, 1419, 513, 1761, 2875, 679, 13764, 538, 513, 2852, 267, 6280, 267, 610, 10927, 1153, 269, 1411, 666, 581, 1964, 1028, 13899, 602, 998, 938, 3028, 649, 786, 2328, 519, 1655, 16075, 1557, 585, 596, 563, 5978, 4081, 5830, 543, 15769, 1118, 519, 2556, 2242, 547, 707, 1957, 865, 602, 621, 568, 25509, 269, 1284, 849, 3898, 707, 3561, 676, 7157, 844, 7627, 519, 2959, 543, 2870, 4704, 8638, 538, 519, 12043, 14905, 267, 12370, 267, 17090, 267, 9628, 1315, 570, 12350, 1014, 563, 2252, 596, 1589, 707, 1957, 1223, 581, 4824, 267, 596, 666, 7662, 513, 2689, 269, 769, 713, 2013, 267, 707, 1957, 786, 581, 13761, 676, 519, 5856, 610, 8655, 547, 606, 9375, 269, 1411, 666, 946, 713, 4781, 607, 1082, 2053, 607, 596, 1294, 3514, 269, 901, 568, 1863, 1317, 649, 1616, 596, 547, 581, 4625, 13854, 609, 519, 3028, 6035, 269, 0, 32359, 5396, 616, 4330, 607, 6029, 1880, 7411, 538, 29852, 3929, 3270, 269, 901, 1957, 8268, 10409, 543, 12497, 1983, 538, 3210, 547, 3929, 15128, 4843, 607, 3929, 8188, 267, 20072, 630, 335, 1112, 999, 264, 543, 7317, 3871, 630, 341, 23450, 1040, 19893, 609, 10295, 267, 1306, 704, 3455, 6794, 543, 1852, 5171, 941, 3254, 11132, 267, 3182, 3645, 543, 3381, 6041, 540, 3670, 2596, 4664, 630, 327, 1952, 1465, 267, 10845, 267, 4250, 267, 18354, 267, 9983, 267, 29832, 755, 1040, 1358, 941, 4280, 547, 2697, 519, 7553, 543, 547, 13619, 10663, 2009, 3123, 540, 519, 3929, 1533, 269, 589, 23066, 2079, 729, 4294, 547, 11913, 5359, 267, 2519, 593, 21458, 543, 12497, 1436, 269, 8298, 31059, 9382, 4951, 1114, 11269, 2066, 519, 5171, 607, 513, 1599, 540, 7553, 267, 21454, 543, 6881, 1110, 1275, 269, 4201, 2065, 5171, 941, 2111, 547, 7157, 1232, 1712, 3119, 4664, 1247, 6029, 7965, 609, 9983, 269, 769, 4334, 267, 1306, 704, 3455, 5171, 2773, 729, 811, 2147, 547, 1852, 5396, 9957, 7053, 267, 950, 32638, 31426, 941, 3177, 267, 621, 729, 10423, 513, 968, 325, 659, 10949, 1198, 892, 585, 519, 6041, 540, 4664, 269, 0, 268, 1548, 568, 519, 1909, 540, 6805, 1702, 888, 268, 1548, 798, 596, 1611, 676, 6805, 1702, 888, 268, 1548, 616, 519, 2640, 540, 6805, 2069, 888, 268, 1548, 616, 519, 1806, 540, 6805, 1702, 888, 268, 1548, 616, 519, 11393, 540, 6805, 1702, 888, 268, 1215, 666, 649, 2149, 2757, 1702, 888, 268, 4208, 12465, 1702, 568, 1271, 888, 268, 1548, 616, 28407, 540, 2757, 1702, 888, 268, 1548, 616, 519, 2596, 4162, 540, 6805, 1702, 888, 268, 1215, 1082, 2010, 540, 2757, 1702, 616, 972, 888, 268, 1548, 568, 519, 3017, 1063, 6805, 1702, 543, 2757, 1702, 888, 268, 1548, 616, 930, 1806, 540, 6805, 888, 268, 6496, 6805, 1611, 4057, 888, 268, 1548, 568, 519, 3017, 1063, 2757, 1702, 543, 3621, 1702, 888, 1432, 568, 519, 1909, 540, 6805, 1702, 888, 785, 4246, 1702, 4249, 1909, 538, 25137, 519, 2470, 267, 1426, 2504, 267, 26216, 1646, 267, 4915, 267, 4264, 2853, 267, 2244, 543, 4199, 2359, 543, 3235, 582, 24397, 267, 2916, 1689, 543, 9568, 1981, 5786, 563, 2467, 616, 1896, 2591, 585, 8497, 543, 5009, 6805, 1702, 1949, 849, 7000, 10756, 1432, 798, 596, 1611, 676, 6805, 1702, 888, 29378, 1702, 666, 581, 17618, 3989, 607, 519, 1702, 602, 606, 6805, 630, 29985, 264, 2146, 7213, 12885, 936, 5481, 540, 2713, 538, 513, 1880, 1604, 269, 2560, 7087, 1702, 568, 519, 1753, 326, 3497, 543, 2199, 1702, 1107, 1702, 602, 568, 2189, 547, 513, 2016, 2528, 610, 2486, 563, 1432, 616, 519, 2640, 540, 6805, 2069, 888, 19119, 540, 7087, 4065, 1280, 1875, 23949, 4246, 1053, 543, 3610, 267, 971, 606, 2069, 1419, 814, 519, 1198, 540, 9870, 4656, 540, 1367, 543, 7104, 5389, 4478, 6805, 2950, 543, 9082, 267, 7551, 5009, 3152, 2463, 585, 543, 7071, 540, 1585, 2686, 19178, 563, 1432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 721, 547, 1118, 14828, 547, 1347, 885, 267, 676, 14467, 519, 1412, 18484, 622, 1631, 262, 7735, 547, 519, 1318, 270, 2630, 563, 2252, 596, 616, 513, 14948, 27710, 9707, 267, 543, 707, 21856, 568, 585, 11278, 2004, 610, 811, 267, 596, 666, 3409, 606, 3063, 476, 1839, 260, 585, 707, 6074, 17493, 269, 8437, 1934, 585, 5528, 593, 875, 547, 798, 713, 563, 2918, 268, 2764, 4639, 5244, 22971, 568, 513, 840, 2389, 13015, 7041, 9744, 543, 6281, 2126, 8998, 267, 609, 476, 2190, 270, 278, 5234, 532, 602, 568, 4625, 3075, 543, 4568, 1863, 269, 634, 9744, 9311, 625, 938, 12729, 9615, 693, 28010, 10290, 700, 17690, 1141, 7218, 666, 1569, 519, 9744, 607, 513, 19480, 6149, 547, 4830, 2713, 593, 12032, 540, 741, 2126, 10872, 269, 898, 2488, 5646, 18522, 543, 3797, 267, 1316, 545, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31319, 1670, 26198, 3203, 257, 607, 851, 540, 834, 11286, 1315, 7025, 1299, 8092, 3203, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 5269, 513, 3794, 9790, 6363, 872, 19405, 540, 8828, 3911, 6139, 1042, 5682, 2142, 753, 692, 3721, 476, 272, 281, 20283, 2659, 23123, 454, 2414, 1118, 513, 15347, 6954, 4528, 540, 7013, 1159, 6139, 1042, 3039, 10365, 267, 596, 786, 991, 519, 1739, 5820, 1384, 265, 476, 273, 7273, 4195, 3039, 10365, 454, 265, 476, 279, 21100, 540, 15347, 6954, 28019, 454, 265, 476, 272, 1804, 22323, 267, 22872, 454, 265, 476, 275, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 274, 270, 275, 7484, 9269, 26185, 630, 839, 675, 621, 781, 15347, 6954, 994, 265, 476, 272, 270, 273, 7484, 6960, 4006, 454, 265, 476, 272, 512, 26138, 13386, 14036, 630, 6921, 9790, 6954, 994, 265, 17865, 543, 14723, 267, 547, 6492, 454, 265, 8838, 1308, 281, 2699, 11350, 14723, 267, 6094, 569, 30000, 692, 3721, 476, 273, 281, 16259, 519, 5682, 2142, 753, 454, 305, 20600, 519, 3039, 10365, 896, 4411, 1216, 543, 26882, 1055, 519, 7475, 269, 1411, 949, 4734, 873, 2898, 610, 2759, 873, 883, 11116, 13355, 4773, 269, 5590, 11735, 780, 3721, 476, 274, 281, 13648, 519, 32365, 454, 1103, 513, 1804, 1236, 32576, 936, 5420, 3002, 267, 3434, 519, 15347, 6954, 28019, 2394, 5743, 6853, 269, 17179, 519, 28019, 689, 519, 3443, 543, 1747, 621, 593, 1957, 28734, 547, 8963, 4430, 31294, 269, 4495, 22799, 267, 1835, 18443, 519, 28019, 543, 1305, 621, 11735, 269, 15944, 476, 273, 26486, 540, 28019, 31294, 538, 519, 1236, 32576, 780, 3721, 476, 275, 281, 590, 2246, 2946, 519, 2201, 687, 543, 12275, 997, 454, 11754, 519, 22872, 22323, 547, 519, 1236, 32576, 609, 11603, 28019, 31294, 543, 1094, 583, 2946, 936, 5420, 3002, 2394, 6037, 1075, 550, 269, 5410, 519, 1295, 1027, 13342, 543, 3136, 5986, 585, 1776, 8792, 267, 4180, 621, 3085, 1405, 6633, 780, 3721, 476, 276, 281, 28799, 23123, 454, 1805, 597, 538, 519, 9269, 26185, 267, 6960, 4006, 267, 543, 15347, 6954, 13386, 14036, 269, 17186, 1134, 547, 2327, 519, 4006, 4744, 11510, 4625, 269, 20780, 519, 7848, 547, 513, 1970, 31652, 780, 3721, 476, 277, 281, 5410, 5682, 2142, 753, 454, 11754, 519, 5423, 3039, 10365, 547, 519, 1236, 32576, 543, 13489, 547, 10359, 873, 14961, 609, 519, 5277, 7848, 269, 15147, 519, 1236, 32576, 609, 513, 19984, 543, 1450, 519, 3039, 10365, 547, 3434, 585, 5111, 476, 1015, 3764, 267, 1175, 2394, 789, 1376, 547, 21352, 269, 853, 597, 12212, 780, 3721, 476, 278, 281, 18734, 547, 513, 645, 1136, 667, 880, 454, 7093, 17742, 707, 14089, 547, 476, 12573, 13790, 630, 11260, 9180, 1040, 18734, 519, 13148, 11273, 3039, 10365, 547, 513, 11256, 8670, 269, 1403, 1210, 18593, 2699, 11350, 14723, 267, 20057, 548, 621, 936, 519, 1283, 1631, 780, 3721, 476, 279, 281, 645, 820, 519, 5682, 2142, 753, 454, 289, 820, 20114, 585, 476, 1789, 268, 2412, 3764, 610, 2394, 519, 3039, 10365, 3914, 707, 9053, 1377, 540, 31926, 269, 4438, 519, 2063, 1906, 3764, 540, 5986, 267, 4894, 519, 8670, 689, 519, 14089, 543, 20057, 548, 519, 1835, 14217, 28019, 593, 1283, 269, 17776, 519, 8670, 547, 519, 14089, 547, 9096, 11256, 780, 3721, 476, 280, 281, 31160, 543, 17949, 2336, 5629, 2944, 267, 5402, 4894, 519, 11256, 8670, 689, 519, 14089, 269, 17897, 609, 6070, 543, 14723, 267, 952, 2877, 269, 901, 15347, 6954, 4528, 540, 7013, 1159, 6139, 1042, 3039, 10365, 2306, 513, 17175, 2427, 8670, 7258, 1585, 5946, 899, 1989, 2683, 9269, 610, 14132, 269, 700, 1030, 1729, 951, 666, 581, 6740, 538, 606, 2011, 31259, 8708, 538, 519, 21067, 585, 909, 547, 1614, 2395, 269, 1234, 17742, 1354, 7674, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5970, 596, 4862, 865, 1454, 827, 519, 11523, 3039, 10365, 11600, 1287, 9289, 875, 596, 666, 1118, 513, 3501, 19471, 5299, 13906, 540, 621, 286, 3973, 1577, 779, 1397, 596, 875, 538, 519, 10700, 3391, 563, 2252, 596, 2461, 513, 3039, 21167, 24158, 267, 596, 786, 2648, 519, 29618, 3039, 10365, 11600, 267, 849, 1634, 607, 519, 7013, 1159, 6139, 1042, 3039, 10365, 563, 763, 11523, 3039, 10365, 11600, 568, 513, 5023, 21226, 532, 267, 2635, 10448, 22862, 538, 513, 6653, 543, 30644, 1350, 10270, 267, 1287, 547, 5529, 609, 5743, 6853, 28019, 543, 19323, 547, 19870, 563, 4415, 519, 6653, 1606, 531, 1399, 10366, 540, 6960, 4006, 543, 28019, 267, 713, 3575, 568, 4502, 519, 7996, 942, 269, 898, 568, 519, 3501, 2427, 8670, 20471, 563, 288, 3262, 540, 8949, 15434, 1188, 5682, 2142, 753, 11600, 786, 723, 707, 3214, 7996, 693, 519, 3349, 547, 3548, 741, 5388, 563, 3383, 267, 875, 798, 596, 1118, 713, 11600, 689, 1753, 286, 5901, 2542, 547, 1265, 856, 875, 563, 1432, 568, 519, 15434, 1188, 5682, 2142, 753, 1234, 10360, 888, 290, 571, 1188, 3039, 10365, 616, 513, 7013, 29535, 2329, 1634, 676, 519, 2012, 540, 23916, 3039, 10365, 610, 2025, 1922, 5831, 539, 3039, 10365, 609, 28019, 563, 16675, 10365, 616, 513, 1360, 7839, 10448, 538, 1082, 4525, 1472, 555, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 2657, 1299, 23046, 1315, 3794, 9790, 6363, 872, 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, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 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 ]
[ 693, 602, 1974, 269, 5678, 2864, 7957, 2293, 519, 2942, 2070, 269, 2986, 519, 5824, 8566, 9127, 4408, 540, 10286, 9039, 4386, 538, 590, 753, 322, 761, 609, 519, 2582, 9868, 540, 3852, 370, 15770, 31149, 267, 799, 15599, 10999, 4564, 519, 590, 753, 322, 761, 586, 822, 553, 267, 855, 18575, 538, 4095, 24061, 267, 538, 5259, 838, 3881, 269, 898, 1590, 8197, 581, 11292, 602, 713, 4763, 538, 519, 4408, 540, 16916, 2371, 267, 799, 865, 9244, 24716, 609, 519, 1898, 6876, 538, 519, 813, 749, 725, 540, 6469, 2831, 267, 1281, 711, 11613, 840, 2850, 519, 1139, 3789, 540, 513, 1455, 3312, 6683, 269, 769, 519, 6381, 540, 18642, 2053, 3560, 543, 1035, 743, 574, 520, 1944, 616, 811, 2352, 538, 519, 2013, 540, 2371, 982, 540, 2831, 282, 543, 519, 14713, 540, 7573, 1851, 519, 12075, 267, 602, 540, 10568, 543, 838, 3881, 1851, 519, 16380, 543, 14564, 267, 543, 602, 540, 30383, 543, 28113, 1851, 519, 16586, 543, 22966, 1206, 267, 949, 782, 581, 3277, 762, 547, 513, 1455, 1062, 540, 18642, 11489, 720, 269, 2201, 519, 824, 1688, 267, 519, 2012, 540, 835, 23611, 267, 1455, 547, 519, 16380, 543, 12075, 267, 1152, 18327, 267, 693, 519, 1034, 267, 602, 1354, 519, 9668, 540, 519, 13632, 789, 10356, 543, 17696, 519, 9274, 540, 24061, 543, 838, 3881, 3395, 3552, 538, 27859, 267, 711, 602, 789, 2907, 16916, 10286, 269, 2755, 267, 2705, 267, 649, 3914, 1100, 23801, 1267, 538, 713, 1259, 267, 513, 2417, 1769, 568, 16207, 593, 519, 1641, 676, 938, 11287, 602, 513, 1297, 540, 519, 1034, 1271, 1913, 12946, 593, 713, 11662, 540, 2528, 616, 547, 581, 1336, 8197, 538, 590, 753, 322, 761, 267, 855, 607, 513, 4341, 538, 513, 811, 2489, 1542, 566, 269, 3397, 6652, 609, 519, 12075, 1797, 513, 1377, 2627, 538, 2489, 282, 737, 383, 375, 337, 20692, 267, 4376, 11013, 539, 282, 513, 761, 1090, 267, 522, 541, 543, 6928, 282, 9006, 553, 267, 602, 799, 568, 16990, 538, 2489, 267, 3226, 513, 16990, 4235, 269, 634, 1913, 616, 3976, 1360, 3504, 282, 855, 741, 811, 17386, 4704, 547, 519, 2361, 630, 4526, 1070, 547, 519, 10286, 547, 581, 2666, 630, 28699, 636, 1070, 547, 519, 2936, 799, 9663, 4900, 519, 3037, 607, 519, 6928, 9663, 4900, 519, 2627, 540, 519, 4262, 630, 541, 520, 5300, 1070, 547, 519, 10433, 540, 519, 18812, 630, 9109, 636, 1070, 1185, 711, 2943, 3144, 1747, 950, 519, 9998, 6498, 540, 519, 13632, 7018, 267, 543, 621, 568, 711, 547, 581, 9289, 693, 602, 741, 7766, 3156, 3357, 547, 581, 538, 930, 8320, 1360, 1114, 267, 543, 602, 267, 585, 1383, 267, 519, 8970, 5497, 547, 581, 2666, 267, 607, 1134, 607, 519, 1984, 585, 8860, 621, 630, 294, 15402, 844, 1515, 333, 639, 267, 26403, 1014, 4556, 333, 20110, 338, 1070, 4607, 741, 4408, 689, 519, 590, 753, 322, 761, 737, 383, 375, 337, 20692, 269, 1284, 949, 9935, 8263, 621, 607, 21483, 267, 602, 519, 6305, 1998, 21475, 8566, 9007, 545, 1004, 941, 711, 2943, 31235, 609, 6683, 267, 543, 607, 1978, 267, 602, 952, 789, 941, 865, 267, 621, 5129, 1152, 513, 29884, 851, 538, 741, 4346, 282, 585, 1185, 621, 693, 602, 942, 4371, 519, 1747, 799, 621, 19952, 4371, 1851, 519, 16380, 543, 14564, 267, 621, 1131, 723, 2451, 513, 4514, 12705, 2390, 519, 1893, 563, 4002, 519, 824, 1688, 267, 519, 2679, 540, 8075, 543, 554, 7491, 676, 519, 21475, 8566, 1069, 753, 568, 1140, 6479, 676, 519, 590, 753, 322, 761, 2481, 630, 553, 1070, 5824, 2531, 639, 267, 5259, 24818, 32703, 19031, 14267, 19084, 282, 590, 753, 322, 761, 1654, 9809, 553, 267, 5824, 642, 16307, 267, 5259, 3852, 379, 413, 376, 370, 24681, 14267, 19084, 282, 590, 753, 322, 761, 546, 12534, 553, 267, 5824, 22509, 267, 5259, 16564, 395, 491, 16708, 10382, 282, 2417, 267, 519, 2679, 540, 16996, 676, 519, 4408, 540, 519, 10935, 267, 1765, 306, 753, 322, 761, 562, 5889, 639, 267, 5824, 562, 32713, 267, 5259, 3852, 377, 10382, 413, 379, 355, 19084, 267, 543, 540, 519, 522, 541, 267, 1765, 306, 753, 322, 761, 513, 761, 1090, 267, 5259, 31057, 494, 16708, 15770, 16483, 19031, 32703, 19084, 267, 5824, 1121, 639, 267, 2468, 9113, 2173, 639, 282, 543, 519, 946, 540, 530, 12000, 976, 543, 519, 8840, 538, 540, 2831, 585, 1951, 9853, 543, 3560, 676, 519, 590, 753, 322, 761, 513, 802, 13757, 630, 1314, 548, 543, 7047, 1070, 5824, 7852, 267, 5259, 31057, 482, 394, 378, 22886, 14832, 267, 31057, 483, 19031, 268, 10382, 394, 378, 10382, 282, 590, 753, 322, 761, 795, 1872, 600, 267, 5824, 795, 1872, 636, 267, 5259, 3852, 370, 21227, 24556, 32703, 14832, 269, 634, 1913, 1129, 4328, 7802, 267, 1765, 306, 753, 322, 761, 5318, 571, 267, 5824, 22514, 529, 267, 5259, 31057, 494, 17385, 15184, 394, 362, 19084, 282, 543, 22927, 267, 1765, 306, 753, 322, 761, 521, 643, 267, 5824, 647, 334, 282, 590, 753, 322, 761, 562, 1695, 267, 5824, 29724, 267, 5259, 3852, 377, 394, 362, 15184, 22886, 267, 616, 7567, 538, 782, 21475, 8566, 9007, 545, 4654, 269, 901, 3112, 267, 2705, 267, 581, 8449, 14751, 539, 540, 519, 2362, 1148, 540, 22805, 269, 634, 1702, 540, 519, 946, 540, 3595, 538, 8600, 1426, 267, 543, 540, 6070, 585, 4005, 532, 621, 267, 568, 513, 6305, 1998, 6561, 540, 519, 21475, 8566, 9007, 545, 6082, 282, 543, 519, 1482, 949, 581, 14751, 539, 3823, 519, 1702, 540, 519, 9998, 8407, 6964, 607, 28352, 610, 610, 23788, 676, 812, 269, 2311, 2547, 519, 4408, 540, 7601, 630, 320, 525, 264, 543, 8988, 630, 1173, 550, 636, 1070, 5310, 849, 540, 4154, 267, 616, 1558, 609, 538, 590, 753, 322, 761, 267, 543, 891, 4408, 666, 17077, 569, 723, 12090, 1354, 812, 1185, 4121, 547, 5094, 543, 547, 1118, 946, 540, 519, 22714, 282, 519, 590, 753, 322, 761, 607, 529, 267, 5824, 1671, 529, 267, 2798, 267, 538, 1249, 267, 547, 519, 6305, 1998, 946, 540, 17285, 9604, 563, 5591, 1447, 798, 649, 1265, 14178, 1394, 883, 1346, 2053, 519, 4909, 2093, 593, 799, 519, 1646, 540, 782, 21475, 8566, 9007, 545, 2829, 6038, 26520, 282, 519, 3448, 7158, 540, 9393, 543, 7385, 267, 519, 11460, 538, 804, 753, 267, 519, 17913, 11856, 540, 519, 4651, 540, 519, 7622, 267, 519, 9000, 540, 513, 2027, 5485, 518, 323, 4973, 1362, 607, 1134, 607, 540, 782, 21441, 540, 22634, 538, 2489, 267, 8474, 607, 513, 3656, 1242, 9872, 267, 2395, 585, 15597, 7006, 14819, 5126, 693, 519, 1007, 543, 2407, 7599, 269, 2201, 519, 824, 1688, 267, 519, 2318, 3919, 540, 519, 1560, 2184, 545, 267, 519, 3375, 540, 519, 2055, 1063, 1036, 531, 16285, 543, 519, 16285, 540, 519, 2146, 267, 1063, 22420, 17979, 538, 10424, 543, 15626, 8075, 543, 519, 14955, 6463, 3656, 7862, 540, 519, 4961, 267, 4866, 15587, 547, 513, 2663, 2085, 563, 10214, 519, 2609, 540, 2257, 543, 4984, 1397, 15244, 540, 513, 2146, 540, 5169, 269, 634, 2338, 616, 519, 1482, 909, 547, 835, 4627, 630, 306, 753, 322, 761, 3331, 356, 520, 600, 267, 3331, 359, 6390, 9809, 520, 600, 267, 5824, 1298, 636, 267, 5259, 31057, 495, 268, 24681, 10382, 16483, 32703, 14832, 267, 20096, 554, 1495, 5148, 543, 519, 7599, 11392, 1200, 2012, 538, 782, 4654, 689, 519, 1249, 602, 2367, 2268, 942, 676, 1200, 630, 332, 18424, 1040, 634, 2856, 540, 1546, 640, 3294, 630, 306, 753, 322, 761, 546, 17845, 11663, 267, 5824, 632, 639, 267, 5259, 16564, 15770, 32703, 19084, 1070, 543, 1082, 540, 519, 9510, 1523, 687, 540, 4984, 543, 540, 2067, 13513, 267, 4866, 547, 519, 1455, 18472, 540, 519, 6082, 269, 634, 17748, 267, 585, 1383, 267, 540, 13140, 607, 519, 4651, 543, 540, 3618, 607, 519, 3993, 540, 1373, 267, 519, 7908, 531, 1184, 687, 540, 519, 10971, 267, 945, 8399, 689, 1747, 547, 1747, 538, 741, 1378, 669, 926, 1824, 2059, 5402, 1377, 1194, 10092, 267, 519, 14692, 344, 27402, 540, 519, 9997, 781, 6228, 1310, 2669, 267, 616, 4909, 2093, 540, 519, 4095, 607, 1134, 607, 540, 519, 5259, 543, 4936, 7242, 3098, 269, 11153, 540, 519, 10971, 540, 519, 717, 5190, 14626, 728, 1256, 538, 2012, 609, 1346, 26902, 5792, 593, 519, 19129, 1170, 639, 543, 519, 570, 9200, 281, 1765, 28387, 519, 28800, 639, 540, 519, 16380, 568, 519, 24430, 684, 553, 282, 741, 28736, 267, 808, 990, 529, 533, 831, 267, 667, 625, 335, 3438, 568, 519, 30622, 5889, 639, 8486, 5889, 540, 519, 28174, 553, 269, 1323, 6397, 1769, 814, 1044, 16207, 610, 1082, 606, 679, 25634, 673, 1106, 538, 519, 18774, 21329, 13299, 676, 2487, 29622, 3823, 519, 4505, 2820, 514, 885, 540, 3127, 269, 634, 11876, 776, 12357, 3029, 540, 519, 8210, 4883, 13433, 616, 1100, 18774, 21329, 8798, 282, 789, 941, 11082, 2059, 609, 519, 9510, 13896, 689, 519, 5101, 269, 634, 10143, 15454, 327, 895, 267, 7203, 600, 5889, 267, 945, 22651, 585, 519, 7083, 540, 13140, 519, 11344, 23636, 540, 6801, 543, 3141, 2041, 4461, 267, 543, 585, 1864, 25173, 519, 16138, 5109, 4764, 743, 10796, 607, 519, 16933, 540, 13140, 547, 519, 5144, 532, 267, 543, 945, 32047, 5132, 2685, 29377, 519, 533, 1190, 4666, 883, 519, 1158, 540, 519, 25552, 267, 3587, 538, 519, 3946, 540, 519, 16380, 519, 5067, 540, 7203, 600, 5889, 267, 7203, 600, 17845, 344, 553, 267, 610, 19555, 324, 5362, 282, 543, 519, 679, 25634, 673, 18774, 21329, 1650, 540, 519, 27560, 540, 519, 12418, 540, 4477, 3930, 267, 799, 568, 3564, 8969, 4448, 609, 519, 4936, 10828, 827, 595, 659, 639, 267, 568, 1631, 2938, 547, 581, 513, 2063, 16079, 630, 5976, 519, 2495, 1100, 3476, 6956, 264, 540, 602, 2025, 535, 4545, 3814, 543, 1713, 17748, 540, 2470, 563, 26364, 19508, 1723, 268, 2005, 6501, 2528, 269, 634, 4305, 267, 2705, 267, 540, 8159, 519, 4110, 540, 2528, 799, 519, 21475, 8566, 1069, 753, 1185, 25189, 1354, 519, 9668, 540, 519, 13632, 267, 12851, 2864, 547, 519, 2489, 1686, 540, 519, 3504, 1158, 269, 898, 568, 593, 519, 824, 1688, 519, 2027, 4305, 540, 7969, 1686, 547, 23754, 267, 865, 2484, 607, 621, 568, 2009, 267, 1018, 729, 519, 1533, 540, 519, 6182, 19508, 1723, 268, 2005, 6501, 4182, 950, 519, 18774, 25333, 543, 519, 32228, 2103, 851, 539, 269, 7439, 568, 713, 513, 15988, 1663, 748, 11668, 282, 649, 3914, 676, 1797, 540, 621, 519, 3942, 693, 799, 7969, 10340, 862, 10642, 267, 519, 4358, 15304, 540, 519, 3084, 1686, 563, 13070, 3472, 675, 269, 2755, 621, 568, 21483, 602, 519, 21475, 8566, 1069, 753, 3366, 513, 29009, 1272, 267, 543, 941, 31235, 609, 519, 24799, 267, 952, 693, 782, 267, 1152, 538, 741, 3552, 1533, 267, 782, 23053, 1448, 547, 519, 3932, 602, 519, 6182, 19508, 1723, 268, 2005, 531, 2103, 941, 513, 10286, 2275, 738, 22899, 267, 5310, 1256, 513, 11903, 2275, 738, 22899, 267, 1004, 269, 634, 2963, 540, 713, 568, 711, 3274, 519, 1702, 540, 6683, 3294, 1455, 547, 1312, 267, 585, 602, 1281, 711, 2390, 519, 2898, 15549, 519, 23221, 540, 2146, 540, 5169, 538, 519, 9082, 945, 949, 8858, 621, 269, 1323, 3140, 4276, 1063, 519, 21475, 8566, 9007, 545, 6683, 543, 602, 540, 519, 4457, 267, 589, 1090, 19508, 534, 267, 543, 12266, 13632, 666, 15991, 581, 31713, 282, 543, 2943, 891, 13632, 616, 2901, 9813, 547, 519, 21475, 8566, 1069, 753, 267, 610, 693, 1022, 2557, 2968, 9674, 689, 873, 693, 513, 942, 950, 6683, 729, 6157, 1869, 7164, 269, 634, 5168, 568, 267, 602, 519, 811, 4359, 14797, 538, 3504, 2053, 941, 267, 607, 693, 519, 1459, 1554, 267, 7683, 27300, 519, 28352, 543, 519, 2371, 6964, 538, 14713, 282, 543, 950, 519, 3045, 1023, 540, 3624, 3277, 519, 5169, 540, 4457, 6683, 547, 519, 4367, 540, 2947, 2249, 540, 10286, 602, 3576, 1747, 896, 513, 1880, 4622, 538, 513, 1880, 1032, 267, 519, 1650, 17216, 20186, 7157, 267, 693, 2547, 538, 513, 2489, 1259, 267, 519, 1894, 7449, 12371, 538, 519, 9998, 22184, 338, 540, 10340, 269, 589, 1455, 1702, 540, 6683, 267, 899, 513, 1455, 1702, 540, 519, 9904, 267, 540, 2112, 669, 926, 1824, 267, 540, 13711, 267, 543, 824, 28352, 543, 610, 23788, 267, 2484, 811, 4749, 11562, 1218, 519, 23221 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1257, 6889, 276, 5602, 1038, 1582, 269, 16557, 276, 299, 8475, 26769, 14808, 263, 12296, 284, 273, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 276, 299, 8475, 269, 2897, 3287, 284, 276, 267, 586, 284, 5197, 2020, 1038, 1582, 269, 16557, 276, 639, 20713, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 275, 6012, 271, 7481, 1038, 1582, 269, 16557, 276, 639, 20713, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 276, 639, 20713, 269, 2897, 3287, 284, 1789, 267, 586, 284, 5197, 2020, 1038, 1582, 269, 16557, 276, 16557, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 275, 6012, 272, 7481, 1038, 1582, 269, 16557, 276, 16557, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 276, 16557, 269, 2897, 3287, 284, 1220, 267, 586, 284, 5197, 2020, 1038, 1582, 269, 16557, 277, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 277, 5602, 1038, 1582, 269, 16557, 277, 299, 8475, 26769, 14808, 263, 12296, 284, 273, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 277, 299, 8475, 269, 2897, 3287, 284, 276, 267, 586, 284, 13975, 2020, 1038, 1582, 269, 16557, 277, 639, 20713, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 276, 6012, 271, 7481, 1038, 1582, 269, 16557, 277, 639, 20713, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 277, 639, 20713, 269, 2897, 3287, 284, 1789, 267, 586, 284, 13975, 2020, 1038, 1582, 269, 16557, 277, 16557, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 276, 6012, 272, 7481, 1038, 1582, 269, 16557, 277, 16557, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 277, 16557, 269, 2897, 3287, 284, 1220, 267, 586, 284, 13975, 2020, 1038, 1582, 269, 16557, 278, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 278, 5602, 1038, 1582, 269, 16557, 278, 299, 8475, 26769, 14808, 263, 12296, 284, 273, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 278, 299, 8475, 269, 2897, 3287, 284, 276, 267, 586, 284, 13301, 2020, 1038, 1582, 269, 16557, 278, 639, 20713, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 277, 6012, 271, 7481, 1038, 1582, 269, 16557, 278, 639, 20713, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 278, 639, 20713, 269, 2897, 3287, 284, 1789, 267, 586, 284, 13301, 2020, 1038, 1582, 269, 16557, 278, 16557, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 277, 6012, 272, 7481, 1038, 1582, 269, 16557, 278, 16557, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 278, 16557, 269, 2897, 3287, 284, 1220, 267, 586, 284, 13301, 2020, 1038, 1582, 269, 16557, 279, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 279, 5602, 1038, 1582, 269, 16557, 279, 299, 8475, 26769, 14808, 263, 12296, 284, 273, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 279, 299, 8475, 269, 2897, 3287, 284, 276, 267, 586, 284, 17734, 2020, 1038, 1582, 269, 16557, 279, 639, 20713, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 278, 6012, 271, 7481, 1038, 1582, 269, 16557, 279, 639, 20713, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 279, 639, 20713, 269, 2897, 3287, 284, 1789, 267, 586, 284, 17734, 2020, 1038, 1582, 269, 16557, 279, 16557, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 278, 6012, 272, 7481, 1038, 1582, 269, 16557, 279, 16557, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 279, 16557, 269, 2897, 3287, 284, 1220, 267, 586, 284, 17734, 2020, 1038, 1582, 269, 16557, 280, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 280, 5602, 1038, 1582, 269, 16557, 280, 299, 8475, 26769, 14808, 263, 12296, 284, 273, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 280, 299, 8475, 269, 2897, 3287, 284, 276, 267, 586, 284, 4968, 2020, 1038, 1582, 269, 16557, 280, 639, 20713, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 279, 6012, 271, 7481, 1038, 1582, 269, 16557, 280, 639, 20713, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 280, 639, 20713, 269, 2897, 3287, 284, 1789, 267, 586, 284, 4968, 2020, 1038, 1582, 269, 16557, 280, 16557, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 279, 6012, 272, 7481, 1038, 1582, 269, 16557, 280, 16557, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 280, 16557, 269, 2897, 3287, 284, 1220, 267, 586, 284, 4968, 2020, 1038, 1582, 269, 16557, 1015, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 1015, 5602, 1038, 1582, 269, 16557, 1015, 299, 8475, 26769, 14808, 263, 12296, 284, 273, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 1015, 299, 8475, 269, 2897, 3287, 284, 276, 267, 586, 284, 20065, 2020, 1038, 1582, 269, 16557, 1015, 639, 20713, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 280, 6012, 271, 7481, 1038, 1582, 269, 16557, 1015, 639, 20713, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 1015, 639, 20713, 269, 2897, 3287, 284, 1789, 267, 586, 284, 20065, 2020, 1038, 1582, 269, 16557, 1015, 16557, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 284, 1345, 4732, 13990, 314, 280, 6012, 272, 7481, 1038, 1582, 269, 16557, 1015, 16557, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1015, 4917, 1038, 1582, 269, 16557, 1015, 16557, 269, 2897, 3287, 284, 1220, 267, 586, 284, 20065, 2020, 825, 1948, 17787, 519, 6885, 454, 825, 1219, 31230, 4311, 2187, 1038, 1582, 9884, 785, 578, 6230, 664, 31467, 30800, 258, 1362, 547, 1711, 513, 6885, 547, 1450, 519, 3593, 547, 1711, 513, 1007, 7688, 454, 5035, 8073, 5226, 714, 20360, 578, 1384, 825, 1948, 21437, 519, 1362, 454, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1948, 4991, 519, 1239, 585, 519, 7688, 689, 519, 6538, 454, 1038, 1582, 6983, 20975, 815, 6538, 10048, 4526, 269, 7476, 290, 20975, 10797, 1038, 1948, 5932, 519, 6885, 454, 1038, 1582, 9884, 785, 578, 815, 28184, 5793, 11053, 330, 4590, 1038, 1582, 9884, 785, 578, 269, 613, 5852, 2891, 6110, 343, 1220, 266, 4335, 266, 6110, 5602, 1038, 1582, 9884, 785, 578, 26644, 2891, 8620, 13658, 5602, 1038, 1582, 9884, 785, 578, 269, 637, 14184, 263, 16178, 267, 8771, 2020, 1038, 1948, 5932, 513, 2140, 6003, 454, 1038, 1582, 26644, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 8620, 13658, 5602, 1038, 1582, 26644, 299, 8475, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 273, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1691, 4917, 1038, 1582, 26644, 299, 8475, 269, 2897, 3287, 284, 3199, 267, 586, 284, 276, 2020, 1038, 1948, 5932, 513, 6003, 547, 2995, 519, 3593, 1018, 519, 2012, 7127, 4216, 568, 585, 454, 1038, 1582, 20508, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 5226, 714, 8745, 281, 5602, 1038, 1582, 20508, 299, 8475, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 273, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1321, 4917, 1038, 1582, 20508, 299, 8475, 269, 2897, 3287, 15871, 1789, 267, 586, 284, 4649, 2020, 1038, 1948, 5932, 606, 7127, 4216, 547, 4283, 519, 2012, 540, 519, 7688, 454, 1038, 1582, 20508, 22209, 787, 815, 28184, 5793, 9950, 660, 787, 4311, 9884, 785, 578, 994, 1038, 1582, 20508, 22209, 787, 26769, 14808, 263, 12296, 284, 1839, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1321, 4917, 1038, 1582, 20508, 22209, 787, 269, 2897, 3287, 284, 8182, 267, 586, 284, 4792, 2020, 1038, 1948, 5932, 513, 6003, 547, 2995, 519, 3593, 1018, 519, 7121, 7127, 4216, 568, 585, 454, 1038, 1582, 6983, 14394, 299, 8475, 815, 28184, 5793, 11482, 8475, 4311, 9884, 785, 578, 267, 1257, 6889, 11767, 21145, 281, 5602, 1038, 1582, 6983, 14394, 299, 8475, 26769, 14808, 263, 12296, 284, 1428, 267, 4463, 284, 273, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1321, 4917, 1038, 1582, 6983, 14394, 299, 8475, 269, 2897, 3287, 284, 271, 267, 586, 284, 10755, 2020, 1038, 1948, 5932, 606, 6749, 1524, 4216, 547, 1450, 519, 3593, 547, 4283, 519, 7121, 540, 519, 7688, 454, 1038, 1582, 6983, 14394, 309, 541, 815, 28184, 5793, 269, 21803, 309, 541, 4311, 9884, 785, 578, 994, 1038, 1582, 6983, 14394, 309, 541, 15630, 4311, 6983, 20975, 314, 271, 20285, 1038, 1582, 6983, 14394, 24464, 340, 815, 28184, 5793, 20166, 1632, 24464, 340, 4311, 9884, 785, 578, 267, 1582, 6983, 14394, 309, 541, 267, 2608, 1345, 6983, 20975, 994, 1038, 1582, 6983, 14394, 24464, 340, 26769, 14808, 263, 12296, 284, 736, 267, 4463, 284, 272, 267, 536, 326, 6889, 19009, 2580, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1321, 4917, 1038, 1582, 6983, 14394, 24464, 340, 269, 2897, 3287, 284, 8182, 267, 586, 284, 8099, 2020, 1038, 1948, 5932, 513, 7735, 547, 1450, 519, 3593, 547, 2673, 519, 6885, 454, 1038, 1582, 6983, 30327, 3719, 2023, 815, 28184, 5793, 269, 3719, 2023, 4311, 9884, 785, 578, 267, 1257, 6889, 5141, 846, 2580, 4971, 284, 14433, 281, 1582, 9884, 785, 578, 6155, 652, 5797, 15405, 1038, 1582, 6983, 30327, 3719, 2023, 26769, 14808, 263, 12296, 284, 1428, 267, 4463, 284, 272, 267, 536, 326, 6889, 1042, 2580, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1321, 4917, 1038, 1582, 6983, 30327, 3719, 2023, 269, 2897, 3287, 284, 736, 267, 586, 284, 5611, 2020, 1038, 1948, 5932, 513, 7735, 547, 1450, 519, 3593, 547, 1711, 519, 7688, 454, 1038, 1582, 269, 758, 3719, 2023, 815, 28184, 5793, 269, 3719, 2023, 4311, 9884, 785, 578, 267, 1257, 6889, 302, 330, 2580, 4971, 284, 14433, 281, 1582, 269, 11754, 5226, 714, 15405, 1038, 1582, 269, 758, 3719, 2023, 26769, 14808, 263, 12296, 284, 1428, 267, 4463, 284, 272, 267, 13944, 284, 2891, 6635, 658, 12050, 2580, 476, 1321, 1070, 536, 326, 6889, 13582, 5602, 1038, 1582, 269, 758, 3719, 2023, 269, 2897, 3287, 284, 13136, 267, 586, 284, 5611, 2020, 825, 1948, 17787, 519, 6885, 454, 825, 1219, 31230, 4311, 2187, 1038, 1582, 9884, 785, 578, 6230, 664, 31467, 10797, 825, 1948, 4991, 2418, 689, 7127, 10833, 543, 8591, 873, 547, 519, 6538, 454, 825, 1219, 5410, 5226, 714, 4311, 2187, 1038, 1948, 8637, 519, 2418, 689, 519, 7127, 10833, 454, 1038, 1582, 20508, 815, 1582, 20508, 22209, 787, 10947, 4590, 1038, 1582, 269, 572, 21124, 32051, 815, 1582, 6983, 14394 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3344, 540, 519, 5694, 18912, 2245, 269, 2755, 519, 5694, 18912, 6770, 7772, 543, 12587, 267, 3237, 1058, 849, 11168, 519, 1279, 3856, 2640, 540, 1434, 5711, 1072, 269, 1635, 9256, 519, 17134, 656, 618, 540, 519, 5694, 18912, 543, 5711, 1072, 4052, 1702, 267, 3237, 666, 1711, 513, 3102, 1935, 602, 1128, 1571, 1312, 10761, 543, 513, 2631, 540, 5539, 538, 741, 1453, 563, 291, 1581, 4648, 5431, 519, 5694, 18912, 2245, 607, 513, 3407, 1907, 585, 5009, 5711, 1072, 1851, 1453, 269, 1358, 1174, 519, 2318, 1764, 602, 519, 5694, 18912, 781, 3643, 666, 723, 593, 30070, 1762, 3283, 547, 1491, 1416, 540, 741, 4522, 269, 19239, 1235, 1419, 9784, 519, 5694, 18912, 2239, 538, 741, 2853, 267, 16107, 922, 8560, 547, 1711, 513, 22205, 543, 2502, 1604, 585, 741, 1762, 2550, 563, 6624, 5959, 13646, 979, 1657, 543, 3564, 547, 3986, 519, 5694, 18912, 1995, 585, 1453, 269, 1358, 949, 723, 6131, 5694, 18912, 15174, 267, 1141, 1453, 666, 4734, 741, 4503, 4522, 543, 1265, 26208, 2451, 676, 519, 5694, 18912, 269, 15482, 4648, 949, 10571, 909, 607, 5694, 4023, 625, 610, 6451, 5694, 18912, 2389, 1335, 539, 23598, 267, 2417, 9284, 532, 1453, 538, 519, 9589, 1158, 540, 5711, 1072, 563, 28403, 1944, 519, 7839, 22906, 609, 519, 5694, 18912, 267, 5959, 4648, 543, 3906, 1419, 8415, 519, 8560, 540, 5694, 18912, 543, 5711, 1072, 4656, 269, 1358, 1020, 3872, 2326, 267, 971, 607, 2156, 577, 999, 543, 7044, 267, 602, 5031, 519, 4276, 1063, 519, 5694, 18912, 543, 5711, 1072, 1416, 269, 1452, 11044, 2832, 547, 3914, 1312, 1453, 543, 3237, 267, 10771, 519, 2956, 540, 2834, 5959, 11564, 267, 1697, 17678, 2553, 267, 543, 513, 7059, 2732, 563, 4263, 17718, 781, 14893, 15482, 267, 649, 20647, 538, 12963, 25185, 267, 2519, 593, 23833, 5711, 1416, 585, 1453, 269, 3776, 12391, 2319, 5849, 602, 1142, 3643, 568, 2318, 267, 4543, 1453, 1020, 513, 15400, 7029, 547, 5959, 1072, 269, 2060, 2789, 10375, 6753, 538, 623, 8500, 718, 1575, 267, 570, 659, 5448, 267, 3162, 22487, 267, 8549, 10158, 267, 595, 8221, 2023, 267, 543, 12844, 2284, 8235, 267, 649, 616, 1934, 547, 2149, 707, 1126, 781, 4522, 543, 1711, 6505, 1159, 3796, 269, 21480, 606, 13393, 2221, 693, 630, 26562, 264, 476, 279, 4366, 268, 10384, 271, 610, 18078, 17106, 11333, 3820, 269, 2913, 781, 1118, 5959, 11564, 513, 9589, 1995, 256, 0, 288, 5339, 6268, 1557, 568, 513, 2027, 1603, 4305, 799, 1022, 2875, 814, 547, 9096, 693, 1153, 267, 2852, 267, 6280, 607, 513, 1267, 540, 2542, 267, 1620, 543, 7421, 519, 5931, 616, 519, 538, 531, 1329, 762, 3344, 540, 519, 1565, 1184, 269, 3776, 29286, 568, 5850, 1603, 267, 2705, 649, 849, 4196, 1870, 11570, 269, 10738, 519, 5850, 1858, 267, 649, 798, 519, 2898, 2603, 1107, 13380, 547, 1164, 1153, 3594, 267, 19545, 543, 6965, 8039, 267, 3332, 8369, 267, 1382, 2458, 566, 543, 6268, 267, 2165, 4574, 267, 12031, 18747, 543, 5730, 4744, 31277, 269, 3776, 5830, 946, 5177, 3872, 2296, 269, 1284, 2709, 3549, 585, 782, 1053, 689, 1164, 1153, 547, 2022, 3766, 571, 9958, 3942, 563, 11328, 31147, 513, 5339, 960, 568, 519, 1448, 693, 799, 596, 2253, 547, 6445, 538, 519, 4773, 540, 519, 1650, 513, 3787, 3063, 269, 1411, 2263, 4259, 267, 3197, 267, 543, 4729, 3063, 7184, 1247, 4758, 7156, 547, 2278, 779, 2203, 543, 1893, 269, 2913, 779, 1376, 609, 4259, 1586, 269, 6733, 1586, 693, 519, 1650, 2899, 811, 585, 513, 8792, 563, 288, 5339, 6268, 1957, 568, 513, 2186, 540, 1557, 519, 1747, 596, 1590, 1683, 7440, 602, 9305, 547, 707, 5075, 540, 513, 4062, 540, 3332, 269, 898, 779, 1898, 547, 3442, 1022, 5339, 960, 267, 5659, 519, 1603, 2203, 267, 11733, 267, 3159, 267, 3197, 267, 4729, 267, 2856, 267, 1671, 15590, 1441, 676, 519, 5856, 563, 8245, 680, 4328, 19672, 1280, 1557, 3732, 454, 2005, 1522, 581, 15695, 1603, 513, 3932, 602, 6238, 609, 1880, 1880, 338, 543, 7475, 609, 1455, 1344, 602, 2488, 6626, 6286, 585, 519, 1957, 269, 1280, 1383, 267, 952, 513, 20194, 23607, 519, 1915, 540, 19201, 689, 19151, 543, 19201, 267, 519, 2489, 5048, 540, 519, 1650, 676, 1259, 540, 519, 3310, 540, 7622, 543, 1514, 10450, 1590, 581, 2016, 269, 634, 3932, 1590, 333, 1406, 18220, 1082, 3877, 2705, 17412, 519, 1292, 2035, 269, 5047, 267, 621, 12582, 1406, 25657, 3988, 609, 32118, 14656, 24616, 269, 5047, 267, 1100, 1007, 4555, 1058, 581, 2016, 563, 309, 1388, 31834, 1280, 3332, 1557, 5439, 1107, 634, 12700, 454, 3086, 596, 723, 1169, 3364, 547, 2322, 538, 1603, 513, 24077, 5339, 2079, 269, 5269, 2386, 602, 596, 723, 5423, 930, 5098, 6898, 269, 3503, 606, 13181, 5037, 585, 1169, 540, 873, 269, 1411, 1590, 11207, 30035, 519, 1888, 267, 4766, 519, 16268, 543, 30369, 5011, 540, 519, 1957, 267, 1397, 519, 2278, 779, 5086, 547, 519, 1433, 610, 4062, 540, 3332, 269, 16930, 519, 8369, 540, 1114, 13915, 543, 707, 2123, 269, 2991, 4974, 707, 1557, 267, 519, 22309, 552, 26247, 1058, 1376, 547, 581, 9228, 538, 513, 1114, 1259, 269, 898, 779, 1271, 547, 3761, 513, 4207, 19511, 543, 1095, 2615, 269, 1280, 713, 2601, 267, 538, 2013, 596, 723, 519, 3617, 547, 3442, 267, 3442, 711, 519, 1034, 2442, 960, 269, 19227, 267, 596, 3274, 1590, 10956, 1310, 824, 13915, 563, 17809, 728, 513, 5618, 7493, 540, 519, 6240, 7440, 7000, 1369, 519, 960, 540, 3332, 269, 16520, 2079, 1557, 1419, 814, 519, 1739, 4070, 281, 2606, 3368, 267, 1034, 1271, 3368, 543, 598, 5477, 3368, 269, 7454, 13625, 19522, 1152, 1568, 609, 3810, 14468, 543, 4810, 5830, 269, 2353, 540, 873, 3180, 9457, 779, 610, 16362, 531, 5232, 538, 513, 1880, 9015, 269, 1358, 9003, 1205, 7341, 689, 741, 9015, 540, 1382, 563, 7312, 1557, 1058, 9096, 609, 513, 3932, 269, 634, 6240, 10421, 540, 519, 3932, 568, 602, 621, 779, 711, 1175, 6101, 269, 2659, 5467, 1590, 333, 1406, 8969, 922, 13766, 269, 634, 3932, 1590, 581, 1418, 1227, 5532, 609, 519, 3105, 25195, 269, 769, 1507, 5559, 553, 267, 519, 2621, 1831, 811, 4105, 27808, 569, 267, 547, 938, 19466, 3197, 685, 4357, 2729, 267, 17116, 547, 1689, 873, 1510, 1439, 563, 763, 5339, 6268, 568, 1175, 711, 607, 2241, 607, 606, 1557, 568, 267, 607, 621, 568, 6251, 547, 513, 2079, 1957, 1813, 547, 519, 6988, 269, 898, 1590, 581, 5059, 543, 10151, 267, 13801, 543, 8325, 269, 6736, 513, 13737, 4244, 547, 10800, 331, 707, 4664, 543, 4606, 267, 538, 1840, 547, 10578, 4555, 267, 972, 949, 581, 10123, 513, 991, 547, 5815, 519, 3872, 1505, 2509, 4466, 856, 519, 2854, 4062, 269, 634, 7872, 547, 1689, 883, 513, 5339, 10404, 1256, 585, 513, 4090, 693, 519, 1360, 2547, 1095, 6979, 547, 1459, 519, 1101, 10862, 547, 519, 6662, 2798, 269, 1411, 723, 547, 1683, 3411, 823, 3688, 540, 6169, 547, 2327, 596, 723, 18617, 519, 5467, 547, 1175, 3398, 707, 5133, 563, 763, 2043, 945, 957, 543, 616, 19500, 2390, 538, 513, 5339, 960, 269, 634, 3119, 1915, 540, 513, 4062, 568, 1634, 607, 519, 16502, 269, 634, 4990, 540, 6268, 568, 6098, 593, 519, 8978, 5943, 540, 606, 9916, 960, 540, 3332, 269, 901, 4990, 540, 3332, 2079, 3340, 513, 7347, 5098, 25195, 543, 922, 1489, 609, 1644, 6169, 563, 306, 839, 1043, 31981, 1280, 3332, 1557, 1107, 21213, 454, 12179, 1557, 5161, 540, 606, 4367, 267, 2596, 26430, 267, 543, 3932, 269, 7351, 707, 5098, 25195, 1369, 519, 2606, 3368, 269, 631, 1549, 267, 607, 7157, 267, 519, 2140, 540, 519, 960, 543, 922, 5856, 269, 3763, 519, 1888, 3606, 593, 1369, 519, 3119, 26430, 269, 898, 1058, 16520, 4828, 18753, 5029, 6500, 17663, 711, 2539, 982, 1614, 11215, 9433, 269, 15439, 1832, 538, 2247, 547, 723, 519, 2953, 4070, 3330, 1142, 5037, 281, 630, 272, 264, 513, 1641, 4845, 1644, 547, 5098, 3948, 267, 630, 273, 264, 11215, 6169, 689, 519, 21849, 1543, 267, 630, 22764, 264, 16555, 267, 543, 630, 27917, 264, 25759, 4845, 269, 2201, 519, 9133, 17412, 707, 1957, 563, 24145, 776, 9880, 568, 606, 10137, 540, 713, 1514, 3635, 540, 21264, 532, 269, 2290, 5467, 11339, 1524, 1010, 610, 1200, 5784, 593, 1018, 513, 1808, 960, 540, 3332, 1797, 865, 602, 1866, 666, 16253, 547, 602, 7664, 269, 634, 10404, 779, 1880, 3804, 949, 581, 547, 1118, 4502, 9794, 906, 593, 513, 960, 267, 547, 2491, 1010, 610, 1200, 7664, 540, 519, 960, 267, 610, 547, 1683, 1114, 3988, 609, 1644, 3140, 610, 27367, 9623, 269, 634, 10404, 779, 2596, 3804, 1018, 568, 519, 1404, 21258, 821, 827, 267, 538, 1034, 2665, 267, 568, 547, 9148, 519, 5467, 779, 1620, 540, 519, 5339, 960, 269, 31379, 3335, 4497, 538, 5188, 610, 7521, 609, 1114, 13915, 267, 9001, 519, 5784, 540, 824, 13915, 547, 1020, 741, 1360, 1378, 2188, 269, 19759, 569, 267, 950, 13915, 8263, 602, 741, 3988, 616, 2907, 26224, 547, 3105, 9880, 267, 519, 4661, 1223, 849, 581, 13542, 727, 547, 7747, 563, 2791, 1058, 1459, 519, 3803, 513, 851, 540, 707, 5339, 2079, 1557, 519, 1747, 5356, 519, 3803, 5048, 269, 769, 606, 4674, 547, 3310, 707, 5467, 2059, 609, 707, 8753, 543, 2188, 540, 2070, 267, 621, 568, 19624, 547, 1459, 8716, 25759, 5220, 269, 5015, 267, 2327, 602, 547, 6961, 513, 5098, 3948, 538, 513, 5339, 2079, 1557, 779, 8753, 269, 2422, 2656, 543, 13801, 5220, 547, 2671, 1898, 1702, 543, 22321, 707, 5467, 269, 898, 568, 2356, 1434, 865, 607, 547, 1039, 2012, 3562, 268, 9146, 1369, 519, 3932, 3368, 269, 0, 2080, 596, 3580, 1265, 513, 4015, 540, 2326, 2966, 547, 948, 596, 1569, 543, 3351, 1047, 6437, 4255, 3927, 269, 1452, 2200, 1331, 782, 519, 4647, 762, 6437, 1449, 1806, 269, 1411, 666, 979, 998, 713, 1570, 547, 5818, 707, 1620, 543, 1489, 6267, 685, 3356, 563, 4322, 2200, 666, 4217, 596, 538, 8600, 6267, 585, 6437, 10526, 269, 18461, 1863, 547, 4647, 543, 2671, 519, 1449, 1806, 267, 26936, 707, 3450, 1935, 609, 519, 3084, 6437, 281, 4179, 2517, 16753, 269, 1815, 889, 539, 1673, 2041, 3820, 270, 2102, 1968, 268, 25531, 2275, 1068, 881, 622, 270, 2017, 5382, 270, 1708, 273, 268, 2017, 5382, 2389, 3949, 270, 0, 7628, 519, 21654, 267, 519, 14787, 779, 2816, 4957, 13497, 269, 898, 729, 1100, 3476, 2614, 3274, 547, 12225, 1834, 2621, 4080, 538, 4505, 267, 22265, 5931, 269, 28673, 543, 6392, 1185, 1831, 14353, 267, 607, 7634, 543, 2601, 2968, 519, 1007, 4493, 585, 1702, 269, 1280, 519, 1101, 942, 538, 1686, 267, 12206, 941, 4098, 547, 2307, 267, 1548, 2731, 5949, 888, 1103, 4984, 543, 18381, 267, 519, 2038, 581, 31600, 540, 519, 21654, 941, 1572, 519, 1546, 1235, 269, 6145, 741, 13413, 538, 519, 4610, 540, 1686, 543, 2257, 267, 789, 8179, 968, 516, 32208, 892, 543, 968, 11499, 892, 3137, 585, 16750, 2621, 269, 4014, 789, 5156, 538, 2696, 267, 789, 15653, 519, 10206, 540, 10143, 6304, 543, 2027, 13414, 269, 1358, 4718, 27403, 543, 14985, 607, 1480, 2472, 563, 29128, 713, 942, 267, 621, 729, 3622, 7608, 602, 4896, 1223, 917, 1018, 4906, 729, 899, 3274, 676, 9256, 3388, 602, 729, 1767, 827, 1864, 538, 519, 6426, 269, 3767, 267, 5640, 3459, 23243, 519, 4906, 540, 519, 717, 28145, 689, 519, 3140, 4906, 269, 634, 1101, 547, 798, 865, 729, 19555, 2335, 15656, 1234, 574, 22654, 912, 295, 1069, 2335, 15656, 1234, 574, 22654, 454, 2005, 568, 267, 5310, 267, 711, 9670, 602, 519, 960, 602, 7436, 519, 4332, 540, 3140, 4906, 14172, 729, 3370, 26687, 3585, 543, 2022, 21065, 3585, 269, 634, 2278, 779, 1920, 21787, 519, 1257, 1131, 3142, 17847, 593, 741, 2012, 282, 519, 2199, 16099, 540, 19839, 1873, 1157, 267, 5125, 267, 19275, 13629, 1568, 17672, 547, 4984, 269, 1656, 865, 19555, 2335, 15656, 1234, 574, 22654, 779, 2201, 519, 2271, 1549, 540, 4906, 729, 5950, 538, 476, 10082, 279, 607, 968, 325, 4048, 906, 892, 540, 513, 12377, 676, 606, 7164, 2278, 4362, 1851, 519, 16782, 538, 519, 5918, 651, 779, 5399, 563, 29820, 538, 31297, 267, 5125, 267, 883, 513, 1920, 540, 13162, 534, 23464, 267, 1234, 574, 22654, 5030, 538, 519, 942, 540, 519, 21654, 267, 602, 1974, 540, 5375, 7214, 1686, 602, 814, 20068, 1947, 8032, 519, 2413, 2247, 543, 2413, 2528, 269, 769, 1010, 1000, 550, 625 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10835, 689, 476, 271, 630, 2254, 1459, 264, 547, 476, 277, 630, 572, 3164, 264, 543, 28761, 30397, 1689, 936, 942, 538, 6677, 1380, 539, 2550, 269, 769, 519, 9000, 540, 513, 2212, 5945, 267, 513, 15977, 6060, 540, 1447, 982, 476, 274, 593, 519, 623, 16430, 5619, 568, 2808, 3339, 269, 3958, 267, 2550, 6192, 513, 5496, 942, 5619, 593, 2395, 835, 547, 1614, 543, 606, 2534, 5619, 689, 2395, 2185, 547, 476, 1015, 563, 2304, 2079, 540, 519, 1239, 4951, 602, 519, 1895, 15868, 5496, 942, 1282, 519, 3355, 476, 4366, 3108, 1310, 513, 6677, 15664, 4810, 513, 3648, 3476, 942, 547, 9156, 267, 6027, 676, 513, 623, 16430, 6060, 540, 1447, 982, 1614, 269, 2201, 3328, 267, 713, 1895, 4810, 513, 11667, 942, 540, 5216, 2395, 2394, 10835, 6571, 3379, 547, 476, 274, 269, 276, 2395, 585, 519, 1895, 602, 17712, 7134, 689, 5496, 942, 269, 4438, 713, 942, 267, 519, 20165, 15868, 5496, 942, 29429, 513, 11667, 540, 476, 30697, 3764, 936, 519, 476, 4366, 16923, 1974, 1247, 519, 20165, 17712, 8724, 689, 5496, 942, 29429, 513, 11667, 540, 476, 9873, 3764, 563, 2108, 4322, 4681, 1489, 519, 3932, 602, 5618, 5496, 942, 17712, 29561, 1739, 513, 6677, 15664, 568, 2404, 609, 513, 5488, 6051, 2223, 1767, 5839, 852, 269, 968, 11693, 713, 1239, 267, 16861, 4791, 7840, 1058, 581, 547, 3970, 5496, 942, 3034, 21547, 852, 3773, 267, 968, 2005, 779, 711, 2312, 1946, 5496, 942, 28978, 6677, 15664, 2589, 855, 972, 616, 513, 2603, 540, 4128, 547, 14353, 621, 779, 711, 1434, 1848, 5839, 852, 1767, 269, 898, 779, 2009, 602, 5907, 22726, 267, 799, 616, 1634, 547, 12153, 31264, 267, 1223, 1404, 513, 1909, 269, 2107, 602, 5496, 946, 949, 1033, 847, 689, 3207, 543, 759, 18870, 540, 3339, 2238, 267, 1312, 540, 799, 616, 5433, 547, 581, 6225, 547, 6677, 15664, 6051, 563, 2108, 4322, 4681, 2303, 602, 513, 3677, 267, 811, 3309, 267, 24352, 10938, 1353, 568, 11562, 5896, 547, 1294, 952, 519, 2164, 616, 5812, 2223, 1767, 5839, 852, 269, 968, 1432, 779, 811, 267, 649, 1152, 6743, 693, 519, 1101, 476, 4366, 3108, 1310, 5868, 269, 898, 1131, 581, 26656, 547, 1294, 952, 17712, 8724, 689, 5496, 942, 3476, 1185, 811, 540, 606, 1764, 610, 952, 1808, 5496, 942, 2238, 1765, 341, 8721, 3756, 5288, 269, 8613, 1765, 17647, 513, 811, 14733, 1198, 593, 6051, 942, 3034, 3519, 322, 15664, 538, 1453, 1107, 11166, 281, 2405, 1467, 31936, 6481, 15610, 454, 2026, 1279, 607, 707, 1126, 814, 2589, 267, 707, 1126, 1058, 2057, 5026, 267, 2182, 1404, 693, 12424, 267, 1373, 22350, 3742, 267, 543, 2168, 2069, 1362, 269, 9105, 519, 8502, 950, 707, 1126, 666, 2132, 547, 741, 3339, 2238, 563, 13014, 2386, 707, 1126, 779, 4116, 267, 2168, 2069, 4116, 267, 19393, 267, 543, 1153, 12016, 616, 3222, 540, 519, 2487, 5945, 563, 307, 1779, 547, 3610, 827, 4543, 707, 1126, 6952, 909, 593, 1153, 960, 269, 4746, 2307, 827, 12557, 540, 4255, 610, 2101, 3785, 269, 11334, 1058, 849, 1174, 602, 707, 1126, 949, 581, 811, 13110, 267, 32585, 267, 3362, 13347, 267, 610, 11821, 269, 2659, 1126, 949, 849, 723, 513, 2182, 942, 609, 4247, 602, 2154, 19551, 610, 23622, 269, 2659, 1126, 949, 723, 7646, 14331, 543, 581, 1447, 27031, 540, 6846, 269, 1403, 707, 1126, 814, 2589, 538, 1153, 267, 723, 707, 1126, 3251, 1753, 2394, 4743, 1732, 563, 307, 1779, 609, 3610, 827, 912, 268, 3502, 2348, 707, 1126, 1118, 909, 782, 540, 741, 14406, 960, 1318, 2476, 454, 268, 26805, 519, 2179, 540, 6780, 610, 1362, 960, 707, 1126, 1281, 585, 513, 1247, 454, 268, 14190, 532, 1964, 2053, 1282, 519, 1554, 454, 268, 14190, 532, 707, 1126, 547, 2490, 10467, 538, 3735, 454, 268, 29179, 707, 1126, 3063, 942, 547, 1353, 543, 2347, 4255, 454, 268, 9861, 3461, 609, 707, 1126, 779, 5615, 607, 789, 9156, 454, 17780, 593, 875, 3983, 519, 2212, 5945, 729, 267, 707, 1126, 949, 991, 547, 7227, 476, 272, 547, 476, 274, 3275, 1354, 3257, 519, 1739, 2238, 269, 9105, 707, 1126, 779, 8502, 827, 912, 268, 29892, 3346, 5026, 267, 971, 607, 11176, 267, 19735, 267, 543, 13558, 454, 268, 681, 4575, 513, 17919, 267, 27576, 267, 610, 1055, 268, 5802, 6174, 454, 268, 32010, 513, 1286, 630, 604, 789, 616, 2025, 2614, 543, 13931, 994, 268, 4787, 328, 532, 267, 6777, 24692, 267, 1236, 908, 267, 25920, 24692, 267, 27590, 10415, 267, 610, 19831, 6575, 454, 268, 12160, 908, 538, 1022, 2534, 1141, 972, 568, 513, 1981, 540, 18644, 519, 2212, 610, 540, 513, 795, 27117, 547, 519, 2212, 454, 5278, 3906, 4363, 602, 707, 1126, 3251, 2476, 689, 5026, 2238, 602, 1223, 3132, 513, 2147, 2212, 5945, 267, 585, 519, 1964, 540, 519, 4005, 563, 1692, 7043, 6496, 621, 6875, 547, 5589, 1478, 689, 513, 19270, 15664, 888, 5475, 513, 6677, 15664, 267, 621, 568, 5393, 1271, 547, 1491, 519, 942, 547, 9156, 5265, 269, 901, 568, 1317, 6677, 21631, 616, 9286, 607, 15779, 2634, 7063, 269, 1358, 2049, 607, 513, 1267, 540, 519, 2634, 18644, 519, 3330, 540, 519, 15693, 1813, 547, 513, 6727, 267, 2178, 1764, 269, 19270, 21631, 666, 2039, 689, 7646, 547, 4049, 267, 2705, 1256, 7646, 6677, 21631, 2154, 513, 6051, 1974, 563, 4002, 3328, 267, 621, 3217, 5111, 476, 278, 268, 1015, 2395, 547, 9156, 689, 513, 6677, 15664, 269, 1717, 267, 713, 666, 4268, 689, 1367, 547, 1367, 543, 596, 949, 3136, 547, 1995, 6677, 15664, 2589, 585, 3476, 982, 476, 278, 268, 1015, 2395, 269, 2368, 6677, 21631, 949, 1491, 3476, 547, 12115, 543, 2589, 666, 2063, 585, 476, 273, 268, 275, 4374, 269, 769, 930, 2665, 267, 2022, 8410, 322, 15664, 6794, 949, 849, 1020, 563, 8070, 8410, 322, 15664, 6794, 568, 519, 12136, 540, 29886, 6677, 15664, 2589, 585, 4374, 610, 3275, 1310, 513, 6677, 15664, 269, 13575, 6340, 267, 1614, 610, 811, 540, 519, 1739, 2589, 1590, 581, 1459, 547, 13209, 2022, 8410, 322, 15664, 6794, 912, 268, 12619, 532, 2042, 454, 268, 24410, 1076, 23622, 454, 268, 15350, 2042, 454, 268, 22226, 2242, 454, 268, 11576, 6638, 547, 1769, 610, 3280, 454, 2080, 568, 1018, 596, 1058, 798, 1247, 23232, 689, 513, 6677, 15664, 912, 291, 904, 476, 272, 1299, 476, 273, 454, 7628, 519, 1101, 7008, 540, 2395, 1739, 513, 6677, 15664, 267, 621, 568, 1271, 547, 1964, 543, 1491, 621, 2653, 269, 1411, 1058, 849, 2057, 1919, 899, 14933, 267, 13819, 630, 26367, 267, 15291, 267, 16979, 267, 6049, 1070, 4376, 602, 3340, 2790, 1445, 267, 6505, 8279, 267, 10978, 4992, 267, 9308, 14053, 2238, 267, 543, 4568, 269, 898, 568, 15695, 547, 1205, 476, 279, 268, 1015, 3108, 540, 3207, 267, 3251, 19872, 267, 3548, 1769, 267, 543, 723, 2576, 2638, 593, 596, 21237, 269, 1403, 596, 991, 547, 1491, 513, 7646, 1928, 17212, 591, 267, 621, 568, 5227, 602, 596, 946, 21449, 3133, 641, 1156, 543, 2057, 16481, 1575, 19745, 523, 610, 29469, 1317, 789, 666, 2014, 11702, 563, 291, 904, 476, 274, 1299, 476, 275, 454, 2252, 596, 616, 1869, 4743, 519, 2360, 540, 519, 6677, 15664, 267, 1287, 621, 568, 5227, 547, 3136, 547, 1491, 621, 2653, 267, 3970, 5496, 942, 267, 543, 7413, 519, 2179, 540, 2790, 1445, 269, 1717, 267, 952, 596, 616, 4358, 547, 1745, 1732, 267, 1287, 596, 666, 7930, 960, 593, 4946, 2238, 547, 707, 1554, 269, 1879, 596, 5469, 2589, 4947, 1394, 267, 596, 949, 991, 547, 1491, 513, 2736, 610, 2119, 1945, 1447, 14053, 269, 2311, 713, 1448, 596, 786, 1869, 991, 547, 2057, 2238, 602, 1223, 5368, 329, 675, 707, 2212, 267, 1256, 952, 596, 616, 4743, 1732, 563, 4263, 519, 835, 3018, 1665, 267, 596, 1058, 581, 6140, 4743, 899, 707, 8912, 1582, 269, 2311, 713, 942, 267, 596, 666, 3622, 2132, 547, 707, 3339, 6296, 267, 8259, 9859, 6382, 676, 707, 4387, 269, 4107, 6677, 21631, 616, 646, 4705, 1369, 513, 3018, 269, 1717, 267, 952, 596, 1376, 547, 1995, 2589, 1586, 610, 952, 596, 616, 1869, 7680, 2589, 1310, 476, 1015, 2395, 267, 596, 1058, 3346, 707, 4387, 547, 3313, 519, 2014, 269, 1411, 1058, 849, 2911, 609, 707, 4387, 827, 13059, 547, 5026, 610, 824, 2238, 602, 1223, 2014, 1776, 2212, 5945, 269, 769, 930, 2665, 267, 596, 949, 991, 547, 7227, 827, 476, 273, 268, 275, 4374, 1354, 759, 11167, 891, 2238, 547, 2327, 596, 798, 711, 1205, 513, 2034, 2212, 5945, 563, 7804, 269, 20629, 719, 344, 267, 513, 17009, 622, 540, 519, 1977, 8274, 540, 24741, 543, 27096, 344, 630, 5723, 14149, 1070, 2853, 2489, 11719, 344, 609, 31776, 8036, 29286, 538, 4791, 5778, 31850, 5735, 269, 3220, 269, 20629, 719, 344, 9060, 519, 1106, 543, 1599, 540, 519, 13285, 543, 6091, 519, 1034, 4277, 851, 540, 11719, 344, 267, 799, 568, 1018, 3366, 1864, 547, 20647, 538, 5778, 31850, 5735, 609, 811, 8561, 593, 29648, 31100, 2175, 269, 1261, 13000, 782, 14715, 3676, 267, 855, 1010, 1292, 1445, 568, 547, 1521, 543, 4383, 14331, 267, 3350, 4713, 543, 29648, 31100, 3676, 563, 3519, 322, 15664, 1923, 8592, 22846, 6925, 454, 1432, 568, 513, 6677, 15664, 888, 288, 9514, 610, 513, 795, 27117, 547, 519, 2212, 666, 2014, 513, 6677, 15664, 610, 15779, 2634, 5945, 630, 307, 10292, 1040, 634, 5945, 8952, 519, 2634, 689, 2324, 7363, 269, 12580, 540, 513, 6677, 15664, 949, 2063, 1447, 982, 513, 1554, 610, 949, 561, 5424, 585, 3275, 267, 610, 3476, 563, 27908, 687, 540, 7646, 15779, 2634, 7063, 2049, 538, 519, 772, 2529, 269, 1142, 1032, 267, 855, 1034, 1810, 1406, 2154, 513, 3643, 547, 519, 6413, 563, 1432, 616, 519, 3123, 540, 6677, 21631, 888, 6624, 6677, 21631, 602, 2154, 6595, 2126, 616, 1317, 540, 8813, 267, 5179, 6174, 10913, 267, 14213, 338, 267, 543, 5026, 7063, 269, 5753, 267, 1762, 4079, 267, 543, 4587, 4079, 616, 693, 2523, 1164, 1981, 585, 6677, 21631, 543, 949, 1491, 3476, 547, 9156, 1310, 513, 6677, 15664, 269, 4658, 945, 723, 1185, 6677, 21631, 1354, 616, 811, 2693, 547, 723, 873, 1586, 563, 1432, 616, 519, 2589, 540, 513, 6677, 15664, 888, 4322, 616, 2589, 540, 513, 2009, 6677, 15664, 912, 268, 966, 558, 1746, 610, 15353, 454, 268, 24410, 1076, 3206, 7363, 454, 268, 15350, 2042, 454, 268, 24410, 1076, 6972, 454, 268, 17496, 2042, 454, 268, 28239, 2242, 454, 268, 15448, 538, 3207, 3270, 454, 4322, 2589, 949, 2049, 1318, 2476, 269, 1809, 930, 949, 711, 1376, 585, 4374, 610, 1256, 3275, 1310, 519, 5945, 563, 1692, 616, 6677, 21631, 8995, 888, 2414, 13209, 513, 6677, 15664, 267, 707, 4387, 786, 4440, 2307, 596, 513, 3099, 540, 2055, 269, 2142, 2386, 547, 2161, 952, 596, 4503, 9637, 543, 1867, 1022, 824, 2589, 269, 634, 4387, 786, 849, 1616, 547, 917, 875, 519, 5945, 7018, 543, 1141, 596, 5734, 707, 2212, 563, 2791, 949, 849, 581, 4280, 2055, 547, 1449, 707, 3965, 543, 4280, 547, 798, 1978, 4247, 547, 1397, 875, 1134, 707, 2634, 568, 8647, 269, 2659, 4387, 949, 849, 2307, 707, 2828, 610, 1920, 2055, 827, 707, 2589, 543, 519, 5945, 563, 3412, 1137, 540, 707, 2634, 1210, 11632, 610, 18909, 18767, 949, 581, 3144, 543, 11117, 563, 1692, 616, 6677, 21631, 5701, 888, 2304, 1271, 851, 540, 2126, 585, 513, 6677, 15664, 568, 3478, 7899, 540, 1964, 267, 1312, 3207, 693, 3781, 543, 562, 2355, 610, 1964, 9397, 1282, 519, 1554, 952, 2877, 269, 2659, 4387, 786, 4440, 2995, 596, 547, 2057, 1978, 2168, 2238, 543, 5026, 1247, 596, 9156, 543, 949, 2303, 4915, 547, 1491, 952, 596, 723, 513, 15677, 563, 2252, 707, 2589, 1810, 1406, 979, 2476, 538, 513, 1906, 2395, 610, 952, 789, 1205, 8338, 267, 596, 949, 991, 547, 1294, 513, 4387, 945, 24870, 538, 6677, 21631, 563, 4692, 6677, 21631, 581, 15286, 888, 2791, 666, 1491, 513, 1297, 540, 3268, 547, 948, 2569, 707, 1981, 585, 513, 6677, 15664, 610, 2061, 621, 538, 707, 1453, 912, 268, 23203, 513, 10160, 12966, 1169, 942, 596, 2461, 538, 513, 5179, 6174, 563, 268, 5269, 2386, 707, 1453, 946, 519, 1697, 3106, 10160, 267, 26259, 10160, 267, 610, 10160, 12966, 563, 268, 8550, 5397, 896, 519, 3310, 540, 5061, 610, 4568, 563, 268, 23203, 513, 24743, 585, 2238, 971, 607, 14964, 513, 11332, 610, 27576, 267, 4730, 3346, 5026, 267, 31562, 267, 7504, 3724, 14964 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2715, 333, 267, 476, 272, 267, 476, 1839, 348, 316, 30916, 14639, 6363, 3757, 9809, 12251, 1325, 16225, 267, 4924, 476, 2764, 476, 1001, 278, 267, 1310, 1325, 12251, 623, 269, 26081, 345, 2608, 264, 595, 4629, 7704, 3918, 12396, 595, 325, 269, 589, 1822, 277, 3583, 267, 589, 13301, 278, 8287, 267, 589, 13301, 8064, 277, 5025, 13301, 8517, 267, 589, 9826, 278, 1015, 269, 25627, 538, 2796, 281, 589, 28318, 6642, 589, 24879, 4968, 589, 28434, 4391, 273, 2608, 589, 27005, 280, 4029, 589, 271, 4097, 6021, 275, 589, 18733, 3192, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 13301, 8064, 277, 589, 13301, 8064, 278, 589, 13301, 278, 7176, 2608, 589, 13301, 8517, 589, 13301, 3199, 272, 589, 13301, 26764, 26395, 312, 310, 16704, 1875, 333, 27483, 295, 3036, 715, 269, 808, 269, 589, 269, 590, 5979, 2033, 267, 4455, 476, 1724, 476, 1001, 275, 12327, 307, 2894, 31064, 306, 513, 263, 279, 9984, 320, 263, 736, 264, 689, 1325, 12251, 623, 269, 26081, 345, 267, 5463, 476, 5400, 476, 1001, 275, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5437, 476, 2764, 476, 4905, 281, 2190, 29643, 476, 1708, 272, 269, 1230, 13935, 476, 4097, 280, 31256, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 258, 9717, 513, 1305, 476, 2715, 1556, 267, 1535, 2073, 268, 4510, 267, 476, 272, 348, 2073, 585, 1018, 1535, 1131, 519, 1611, 581, 476, 275, 2496, 13356, 476, 276, 267, 476, 1001, 276, 692, 259, 343, 815, 476, 275, 6911, 2971, 19247, 1384, 763, 1611, 630, 528, 3328, 264, 540, 513, 1305, 568, 3989, 607, 692, 7445, 28235, 12757, 348, 815, 1422, 2765, 346, 272, 2410, 333, 348, 11513, 8999, 13925, 296, 815, 476, 272, 8703, 333, 348, 2715, 343, 13925, 328, 10592, 3383, 2655, 23082, 538, 713, 2013, 649, 1205, 692, 259, 275, 815, 1422, 2765, 346, 272, 2410, 275, 348, 1422, 3847, 263, 1556, 1341, 1535, 910, 476, 4510, 1341, 476, 272, 9368, 22491, 3086, 6061, 585, 1535, 11729, 1269, 343, 815, 1422, 3847, 263, 275, 1422, 9392, 476, 275, 9368, 264, 1341, 476, 3953, 815, 476, 4366, 259, 0, 258, 1548, 616, 17086, 286, 630, 30125, 2020, 19530, 692, 4407, 596, 616, 2693, 5432, 609, 519, 2262, 968, 4403, 892, 543, 723, 4862, 621, 1031, 538, 4948, 7391, 12462, 296, 1185, 1100, 3903, 1107, 646, 7142, 803, 547, 798, 621, 17373, 1070, 798, 596, 917, 519, 6323, 4214, 540, 3196, 2496, 1103, 713, 2376, 596, 786, 1451, 711, 1152, 1018, 513, 3196, 2731, 568, 267, 855, 1141, 519, 2856, 3357, 689, 543, 875, 621, 568, 1031, 538, 6323, 780, 1012, 21744, 18289, 692, 2414, 1205, 538, 519, 1318, 6323, 14820, 585, 1620, 4229, 267, 11291, 1018, 596, 917, 827, 5163, 269, 1411, 666, 4766, 606, 1843, 779, 2990, 630, 331, 6327, 538, 2230, 1070, 543, 596, 666, 4766, 875, 602, 2990, 2242, 538, 942, 282, 519, 2557, 540, 1689, 540, 2990, 829, 1770, 942, 568, 519, 722, 489, 767, 6290, 25991, 269, 1411, 666, 849, 4766, 875, 602, 6991, 2242, 1107, 519, 2557, 540, 1689, 540, 6991, 829, 1770, 942, 568, 1572, 722, 489, 659, 5120, 566, 25991, 780, 4322, 2168, 9424, 1107, 2990, 267, 6991, 543, 10231, 1107, 616, 782, 6152, 9424, 267, 2495, 789, 723, 9588, 543, 4287, 2404, 609, 873, 780, 2252, 606, 1843, 568, 693, 1964, 267, 971, 607, 513, 4224, 9361, 593, 513, 2427, 19769, 267, 596, 616, 2693, 9425, 8746, 602, 621, 786, 3251, 972, 2394, 1945, 2306, 621, 1847, 269, 23657, 2576, 6972, 2059, 519, 2427, 19769, 737, 6506, 621, 267, 610, 5310, 519, 4224, 568, 1769, 2614, 547, 581, 14593, 676, 513, 2178, 2842, 269, 1879, 713, 4386, 267, 922, 5163, 2242, 269, 634, 2168, 7274, 602, 3123, 713, 1689, 267, 607, 649, 786, 1451, 267, 568, 513, 3196, 780, 2791, 4440, 849, 723, 930, 2631, 602, 1978, 3615, 616, 811, 2352, 547, 1847, 982, 1866, 269, 5994, 513, 1507, 890, 321, 1076, 3379, 547, 513, 5230, 536, 30629, 269, 1411, 1131, 991, 547, 14736, 519, 536, 30629, 513, 2603, 9875, 538, 1931, 547, 1118, 621, 1847, 269, 6684, 267, 952, 1079, 3615, 1107, 513, 1769, 835, 543, 513, 5230, 835, 1107, 941, 2907, 3001, 267, 621, 779, 1454, 811, 2352, 547, 1118, 519, 18219, 835, 3247, 780, 1607, 4187, 540, 606, 1843, 547, 1022, 2242, 538, 922, 5163, 568, 1572, 922, 24880, 269, 1215, 1454, 3196, 568, 2838, 547, 15357, 513, 1978, 1689, 786, 9305, 547, 2527, 267, 799, 568, 513, 2268, 540, 24880, 780, 1012, 31131, 1944, 17086, 281, 3245, 17127, 547, 31595, 543, 13053, 692, 763, 2856, 540, 513, 3196, 814, 1044, 1472, 585, 513, 1279, 942, 267, 855, 621, 7012, 1406, 1134, 6956, 538, 513, 1804, 851, 1317, 540, 31495, 13133, 725, 540, 11508, 780, 288, 2077, 13444, 6069, 602, 782, 3615, 723, 513, 2067, 1533, 602, 789, 1616, 547, 1964, 538, 543, 602, 789, 786, 798, 865, 8259, 513, 3196, 6411, 269, 1261, 1031, 713, 10206, 547, 2491, 1946, 3615, 2887, 547, 519, 3618, 267, 610, 3500, 547, 513, 3247, 1310, 1373, 14593, 780, 29727, 850, 334, 267, 2705, 267, 1201, 3176, 713, 2856, 543, 6045, 519, 6228, 540, 513, 16069, 3196, 1572, 11508, 269, 1261, 5462, 602, 3615, 1131, 1832, 3001, 538, 2786, 11060, 10092, 952, 972, 729, 1100, 11508, 547, 3500, 873, 1524, 780, 306, 597, 21469, 13053, 5795, 513, 3677, 6101, 1436, 547, 31595, 779, 7422, 609, 1010, 4583, 1614, 4031, 540, 5163, 269, 1261, 729, 2111, 547, 4766, 1018, 4229, 798, 267, 875, 789, 957, 543, 1256, 607, 9216, 2338, 609, 4559, 547, 519, 1523, 780, 1012, 13053, 781, 16572, 540, 18289, 692, 6124, 2023, 779, 1101, 1876, 540, 5163, 1107, 3006, 1572, 519, 1876, 540, 24880, 1107, 2829, 602, 606, 1843, 693, 1964, 3788, 538, 513, 1533, 540, 1964, 8259, 606, 796, 29446, 3196, 6411, 593, 621, 269, 901, 851, 568, 7168, 16022, 950, 596, 1589, 1394, 547, 737, 10107, 519, 4224, 593, 519, 2427, 19769, 269, 5015, 267, 713, 1876, 2829, 602, 1022, 1843, 18460, 3586, 6991, 5163, 630, 332, 10056, 693, 513, 3586, 3432, 538, 513, 2786, 11060, 2619, 264, 786, 3136, 547, 798, 865, 8259, 19500, 2390, 676, 513, 2121, 5007, 3196, 780, 6546, 2034, 851, 540, 519, 1101, 1876, 568, 1447, 16022, 1317, 538, 938, 4948, 4205, 267, 3615, 1810, 1406, 4043, 547, 1832, 3001, 11014, 269, 1809, 602, 779, 1317, 789, 616, 19500, 2390, 676, 513, 5706, 633, 3196, 1572, 11508, 780, 6124, 2023, 779, 2034, 1876, 540, 5163, 2829, 602, 519, 2121, 3196, 593, 606, 1843, 630, 6518, 568, 519, 6152, 2040, 540, 782, 4229, 9117, 264, 568, 3160, 547, 519, 1587, 540, 519, 1843, 779, 2527, 543, 10231, 269, 769, 824, 1913, 1384, 293, 3709, 6339, 13157, 2742, 692, 6124, 2023, 781, 2034, 1876, 540, 5163, 729, 2111, 547, 2491, 1946, 621, 568, 602, 596, 723, 547, 7903, 9875, 593, 5230, 3615, 982, 596, 798, 593, 14402, 3615, 547, 1205, 873, 547, 1689, 741, 5163, 269, 898, 849, 18005, 1644, 3196, 547, 519, 2168, 7274, 540, 10231, 267, 799, 568, 519, 1689, 538, 519, 1843, 779, 5163, 780, 6124, 2023, 781, 3791, 1876, 540, 5163, 2417, 6045, 875, 4229, 2097, 538, 8424, 269, 898, 2829, 602, 952, 1843, 589, 10039, 3196, 547, 1843, 645, 267, 1287, 1843, 645, 10039, 3196, 547, 1843, 589, 602, 568, 3160, 538, 9588, 543, 538, 519, 6587, 4287, 540, 519, 3196, 593, 1843, 645, 780, 6124, 2023, 779, 3791, 1876, 6941, 1946, 15963, 973, 11798, 950, 789, 616, 8929, 543, 1946, 267, 952, 596, 1796, 593, 513, 25920, 4580, 543, 7903, 1996, 513, 3774, 267, 596, 1439, 909, 12902, 23651, 780, 1012, 9502, 540, 10414, 692, 288, 3196, 666, 581, 2219, 540, 607, 513, 7903, 610, 513, 7485, 269, 1403, 1152, 513, 2582, 3196, 6411, 593, 606, 1843, 267, 602, 2582, 3196, 786, 2014, 519, 1843, 779, 5163, 547, 1689, 538, 11201, 8167, 547, 922, 2527, 780, 2690, 576, 568, 513, 6152, 7274, 267, 2495, 602, 621, 814, 9588, 543, 4287, 269, 634, 4287, 540, 513, 2121, 3196, 568, 2141, 519, 1482, 607, 519, 4287, 540, 519, 10231, 610, 1689, 540, 5163, 630, 6518, 949, 581, 6587, 519, 4287, 540, 5163, 538, 971, 3871, 1141, 606, 1843, 568, 23646, 1524, 24355, 763, 16038, 1770, 540, 3196, 568, 519, 1007, 2023, 1141, 476, 272, 715, 815, 476, 272, 4846, 332, 4882, 273, 269, 634, 595, 14899, 1770, 568, 519, 10085, 928, 1141, 476, 272, 10085, 928, 815, 476, 272, 326, 9492, 4882, 273, 780, 1012, 6201, 540, 17086, 692, 2791, 2907, 917, 602, 596, 666, 11851, 513, 3196, 593, 606, 1843, 3054, 676, 11319, 621, 610, 17444, 621, 269, 901, 568, 5219, 547, 607, 513, 3346, 3196, 1317, 621, 3340, 3346, 269, 1809, 972, 616, 1082, 824, 2010, 540, 4229, 607, 1134, 780, 288, 1592, 540, 930, 1455, 4229, 596, 7237, 950, 4974, 6323, 1331, 519, 1739, 1384, 1892, 3400, 13901, 3196, 281, 25991, 634, 3196, 540, 8904, 593, 606, 1843, 666, 581, 4767, 1282, 1863, 1922, 718, 5163, 267, 538, 799, 606, 1843, 5787, 919, 4724, 519, 2666, 269, 1809, 519, 14965, 3196, 568, 849, 1018, 8952, 10785, 538, 10739, 267, 543, 1018, 8952, 596, 689, 10760, 1055, 883, 2230, 563, 1892, 16453, 3196, 281, 25991, 901, 568, 513, 1489, 3196, 602, 6411, 13902, 569, 547, 513, 2627, 543, 568, 1018, 11151, 3615, 689, 9991, 998, 519, 6989, 610, 513, 3349, 1283, 563, 1892, 5082, 11424, 3196, 281, 25991, 901, 4016, 15217, 547, 6419, 4229, 543, 6850, 18878, 4229, 269, 1452, 2010, 540, 4229, 616, 519, 1267, 540, 5279, 610, 3001, 5279, 269, 898, 568, 519, 2601, 9211, 1065, 601, 1142, 824, 543, 22197, 6529, 1927, 563, 1892, 674, 2774, 1308, 4229, 281, 25991, 634, 3196, 540, 11508, 568, 513, 3196, 602, 1727, 4680, 519, 5163, 540, 606, 1843, 269, 898, 568, 519, 2601, 621, 779, 811, 2352, 547, 13472, 513, 1433, 2066, 519, 3349, 982, 621, 568, 547, 13472, 513, 1433, 2066, 513, 6656, 540, 4672, 269, 634, 3196, 540, 11508, 9775, 4470, 593, 519, 7252, 602, 616, 538, 3346, 609, 1142, 824, 563, 1892, 5794, 4187, 281, 25991, 901, 3196, 568, 2147, 547, 11508, 269, 898, 2164, 689, 519, 2011, 3294, 15852, 519, 5163, 540, 3615, 9991, 998, 621, 269, 1403, 606, 1843, 8813, 585, 1279, 2614, 267, 519, 3196, 540, 2011, 4187, 786, 2014, 621, 547, 3035, 922, 12363, 6991, 563, 1892, 570, 3290, 3196, 281, 25991, 901, 568, 513, 1826, 540, 3196, 602, 568, 11843, 2059, 513, 5569, 267, 5911, 610, 4376, 2147, 563, 1892, 4033, 4909, 4229, 281, 25991, 1703, 616, 2185, 4909, 4229, 540, 2470, 269, 5565, 616, 8904, 543, 30402, 24599, 1143, 267, 799, 941, 2907, 7396, 267, 543, 519, 824, 1079, 616, 519, 4617, 6046, 3196, 543, 2178, 6046, 3196, 269, 1452, 2063, 1079, 3335, 1152, 1860, 1919, 593, 513, 1016, 30061, 4336, 267, 799, 568, 1946, 596, 949, 723, 2760, 4862, 540, 873, 780, 1012, 4880, 10414, 543, 5131, 10610, 30894, 692, 6124, 2023, 779, 2034, 1876, 1500, 2446, 540, 513, 2121, 3196, 269, 634, 2121, 3196, 593, 606, 1843, 568, 519, 6152, 2040, 540, 782, 4229, 9117, 593, 606, 1843, 780, 2690, 1383, 267, 596, 666, 723, 1079, 1004, 11319, 593, 513, 3625, 538, 6587, 8846, 609, 3160, 4229, 269, 1809, 519, 2121, 3196, 7475, 909, 1373, 476, 271, 267, 799, 1797, 519, 3625, 1281, 711, 1847, 1317, 1346, 1079, 4229, 22599, 1142, 824, 856, 780, 10403, 1560, 12222, 616, 25780, 596, 666, 2721, 10834, 519, 9588, 543, 4287, 540, 1142, 3196, 6152, 593, 606, 1843, 609, 606, 15561, 540, 14354, 3259, 15738, 538, 519, 4287, 540, 519, 3196, 269, 1879, 6061, 6323, 2042, 5473, 4229, 267, 596, 786, 2693, 17250, 513, 2603, 540, 891, 12222, 1317, 621, 2337, 14650, 1018, 4229, 616, 9117, 543, 2306, 621, 811, 2312, 875, 547, 1039, 519, 4229, 1927, 547, 1205, 519, 2121, 3196, 780, 2252, 972, 568, 1100, 2121, 3196, 593, 606, 1843, 267, 713, 1797, 267, 3842, 13053, 779, 2034 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 341, 1155, 540, 2230, 6066, 281, 681, 22044, 2335, 454, 2017, 341, 1155, 21723, 4449, 16875, 681, 332, 22933, 369, 454, 3080, 1297, 568, 711, 6190, 547, 454, 9188, 9216, 1142, 1448, 538, 2230, 780, 3041, 303, 20385, 325, 276, 17976, 476, 273, 4449, 910, 1626, 8894, 11742, 2000, 1149, 692, 3041, 303, 20385, 325, 276, 17976, 476, 273, 567, 910, 1704, 8894, 11742, 6441, 1149, 543, 2622, 30894, 454, 1892, 589, 1158, 6516, 568, 513, 4729, 454, 1993, 942, 5288, 269, 2990, 563, 1892, 23875, 666, 979, 5488, 982, 454, 1492, 3432, 540, 1769, 267, 8754, 782, 454, 5271, 757, 1590, 2887, 1369, 513, 454, 2108, 2775, 13409, 7536, 1892, 634, 2619, 540, 606, 1843, 568, 454, 21406, 519, 1158, 1899, 454, 1892, 15394, 519, 942, 7852, 538, 454, 326, 1508, 538, 4559, 1141, 513, 454, 4820, 1834, 3001, 693, 524, 786, 2887, 454, 531, 784, 513, 476, 3393, 4110, 1899, 267, 552, 3052, 1421, 454, 344, 5288, 269, 11430, 1547, 4449, 672, 4959, 303, 20385, 325, 276, 17976, 476, 273, 567, 910, 1240, 7042, 8199, 2414, 1283 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15209, 543, 4199, 6879, 2130, 267, 6908, 23164, 3157, 543, 7393, 1246, 5346, 5717, 269, 2755, 5691, 4205, 3112, 4628, 21613, 3068, 3562, 19904, 13341, 267, 789, 1459, 14323, 8925, 950, 6381, 27774, 780, 1103, 3932, 267, 2385, 14482, 12329, 19014, 3180, 10373, 1761, 585, 6117, 6209, 1689, 538, 2027, 2069, 5468, 269, 1635, 5807, 2178, 3347, 3710, 593, 8994, 2463, 267, 3742, 5698, 267, 543, 2500, 2792, 267, 7855, 543, 3885, 2482, 519, 24536, 585, 16779, 6267, 609, 3309, 5759, 269, 14301, 6667, 689, 3140, 19325, 971, 607, 2871, 600, 781, 29053, 9620, 267, 4207, 1382, 11363, 519, 2629, 2470, 540, 8537, 2853, 543, 5571, 5188, 269, 8625, 267, 1577, 721, 3136, 20678, 2509, 12581, 3872, 8916, 1141, 1169, 2875, 29263, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 306, 617, 5448, 269, 2274, 476, 6344, 717, 1640, 333, 622, 4258, 30567, 334, 5940, 337, 583, 1729, 7137, 331, 639, 935, 328, 476, 1001, 272, 454, 16829, 593, 4864, 2073, 476, 1001, 278, 538, 8832, 11525, 566, 543, 23239, 7434, 2871, 600, 267, 519, 5094, 590, 617, 5448, 269, 2274, 476, 6344, 575, 1640, 333, 622, 1750, 554, 2335, 334, 1253, 337, 583, 1729, 7137, 331, 639, 935, 328, 11422, 607, 519, 1876, 593, 23421, 23320, 269, 476, 1015, 1280, 476, 4029, 22837, 519, 12478, 540, 2871, 600, 729, 2016, 547, 590, 617, 5448, 269, 2274, 476, 6344, 575, 1640, 333, 622, 1750, 554, 2335, 334, 1253, 337, 583, 1729, 543, 2477, 6410, 676, 519, 1697, 15875, 8136, 282, 20592, 3238, 10959, 547, 581, 14576, 338, 267, 3662, 538, 3778, 8313, 2296, 607, 2494, 1263, 12455, 1070, 2561, 324, 1023, 267, 519, 28445, 267, 3177, 2601, 267, 543, 1433, 269, 6723, 570, 15634, 267, 689, 11108, 10437, 585, 519, 521, 590, 617, 5448, 269, 5583, 269, 2871, 600, 593, 5147, 476, 2641, 267, 476, 3707, 275, 1310, 24369, 25316, 344, 4958, 545, 2367, 540, 521, 590, 617, 5448, 269, 538, 799, 4609, 1185, 741, 23927, 269, 634, 590, 617, 5448, 269, 2274, 267, 17792, 676, 7850, 2259, 267, 13087, 519, 7584, 267, 543, 519, 10409, 4521, 540, 670, 698, 520, 3534, 14612, 849, 11943, 269, 2871, 600, 267, 789, 941, 519, 590, 617, 5448, 269, 2274, 476, 6344, 575, 1640, 333, 622, 1750, 554, 2335, 334, 883, 513, 1813, 6060, 11422, 585, 519, 3392, 4115, 6595, 4724, 3567, 269, 6837, 538, 476, 4198, 271, 1767, 2871, 600, 606, 2347, 590, 617, 5448, 269, 2274, 476, 6344, 575, 1640, 333, 622, 1750, 554, 2335, 334, 1253, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 7981, 4065, 1315, 4937, 1315, 9977, 268, 30108, 4762, 3720, 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, 3848, 476, 1015, 281, 19196, 1746, 19396, 19662, 538, 17073, 6925, 692, 5331, 2324, 538, 513, 3728, 19550, 1604, 1141, 1169, 1554, 6770, 1007, 2591, 543, 12587, 269, 1411, 2811, 7683, 1565, 267, 4543, 1004, 267, 543, 1818, 513, 1483, 3017, 538, 707, 2146, 269, 1403, 713, 4992, 3078, 547, 596, 267, 1287, 596, 1522, 1616, 547, 2015, 513, 4876, 538, 6595, 4915, 256, 901, 2361, 3091, 1082, 1114, 2816, 3255, 602, 666, 9290, 1585, 4690, 543, 1983, 269, 2913, 781, 2263, 930, 540, 873, 1927, 2439, 2304, 17073, 4284, 6509, 568, 899, 513, 15705, 19792, 945, 1568, 3533, 547, 4137, 856, 1018, 781, 4636, 609, 2550, 950, 789, 12446, 693, 519, 6413, 17596, 14849, 1416, 269, 1358, 1521, 7063, 543, 10108, 267, 971, 607, 7745, 7633, 267, 10447, 6285, 267, 543, 4049, 11912, 269, 1452, 7189, 723, 6192, 2185, 1296, 540, 2564, 1153, 4553, 676, 513, 1614, 4458, 32031, 1982, 538, 6595, 4915, 269, 4495, 789, 1831, 4604, 14468, 630, 6195, 20324, 292, 1070, 789, 666, 960, 538, 10506, 267, 19190, 267, 610, 1256, 6552, 6753, 3246, 2565, 1416, 780, 3086, 267, 1577, 781, 4685, 883, 930, 20614, 2127, 1369, 6595, 4915, 1384, 272, 269, 17925, 17073, 6925, 6212, 593, 8156, 1453, 689, 26638, 998, 18273, 269, 4595, 3214, 5749, 1405, 1175, 1507, 4079, 267, 789, 991, 7463, 1416, 3177, 676, 4966, 8036, 538, 1312, 6595, 4915, 543, 12963, 338, 269, 1306, 513, 17925, 17073, 6925, 10629, 267, 596, 1131, 948, 2370, 3283, 1745, 1732, 950, 789, 2811, 7210, 610, 10413, 563, 273, 269, 17073, 6481, 7896, 630, 32209, 264, 3322, 2324, 5702, 609, 1612, 3139, 923, 543, 15444, 25629, 945, 1683, 840, 3620, 2214, 1388, 1416, 1282, 18002, 269, 1323, 661, 5960, 11285, 5849, 741, 2319, 814, 519, 2556, 3937, 267, 2866, 267, 543, 2200, 547, 5838, 1283, 27677, 577, 3461, 1416, 1354, 8757, 519, 6413, 563, 274, 269, 11879, 5516, 13255, 10905, 2609, 540, 6595, 4915, 543, 2565, 1416, 8808, 269, 28968, 538, 713, 1858, 3560, 9691, 2192, 610, 13676, 2550, 1063, 3782, 6703, 1210, 2666, 610, 2011, 5605, 592, 1734, 269, 3487, 6066, 610, 7599, 2775, 532, 3681, 616, 2139, 585, 1346, 5461, 538, 13326, 824, 19647, 1247, 1869, 9494, 2729, 780, 3719, 7227, 1107, 972, 781, 811, 256, 14755, 13500, 267, 824, 4648, 1404, 1898, 5107, 538, 6595, 13623, 1384, 28723, 6657, 3038, 11107, 630, 4338, 11679, 1070, 1519, 4284, 6509, 32113, 1218, 630, 303, 2026, 264, 543, 29237, 31943, 619, 630, 301, 11679, 1070, 12840, 609, 7189, 547, 13209, 543, 1521, 2550, 269, 6673, 11679, 1419, 723, 4487, 781, 5232, 538, 741, 9757, 4610, 543, 10929, 11826, 2866, 547, 2327, 789, 666, 6023, 1164, 25774, 3871, 7258, 13500, 780, 2690, 3236, 267, 4952, 1373, 851, 540, 513, 6422, 5918, 334, 1141, 835, 2319, 4759, 568, 513, 4387, 543, 519, 824, 568, 513, 13698, 610, 26128, 269, 8625, 267, 789, 2708, 2550, 267, 1020, 2126, 4566, 267, 543, 5968, 10311, 547, 3885, 269, 898, 781, 899, 2348, 1079, 27568, 2324, 2427, 676, 2427, 2439, 7661, 267, 11889, 543, 1382, 5234, 2818, 1489, 519, 3232, 4238, 540, 6595, 13623, 543, 3565, 547, 14262, 8906, 538, 4915, 269, 1635, 4974, 3270, 543, 4093, 267, 891, 3173, 2087, 5574, 543, 5773, 865, 602, 3025, 11392, 519, 1655, 2009, 1416, 780, 2252, 1022, 540, 891, 11678, 533, 1664, 707, 1719, 267, 3314, 602, 6612, 267, 11428, 267, 543, 7279, 616, 4105, 5820, 585, 1967, 538, 6595, 4915, 269, 1924, 1832, 3695, 267, 6998, 2055, 267, 543, 1565, 827, 713, 4241, 1158, 269, 5808, 6487, 286, 9320, 14693, 267, 596, 3513, 581, 519, 835, 9849, 513, 3043, 10359, 543, 9494, 2729, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 659, 8372, 1299, 11916, 7046, 902, 454, 763, 7137, 23331, 310, 1023, 327, 4972, 540, 17073, 6925, 568, 4867, 16461, 1746, 7460, 20324, 292, 17073, 4284, 5974, 693, 782, 2157, 547, 6443, 938, 22644, 539, 12200, 269, 9314, 539, 23078, 949, 3346, 15576, 344, 744, 802, 3726, 320, 267, 9049, 267, 12751, 8556, 13577, 20229, 267, 547, 1451, 811, 827, 1699, 543, 2104, 3255, 563, 293, 659, 8372, 15557, 30142, 1431, 454, 268, 10406, 12751, 267, 17925, 17073, 6925, 454, 268, 6481, 10615, 267, 10866, 1299, 21111, 8881, 454, 268, 8791, 12751, 267, 17073, 6481, 7896, 454, 290, 648, 20513, 630, 6224, 306, 267, 11632, 610, 14210, 675, 25397, 994, 268, 17073, 6925, 20513, 454, 268, 17925, 17073, 6925, 20513, 454, 268, 11879, 5516, 13255, 20513, 630, 4820, 6066, 610, 7599, 2775, 532, 994, 28723, 6657, 3038, 11107, 630, 5183, 21610, 303, 994, 268, 4284, 6509, 32113, 1218, 21610, 9309, 31943, 619, 454, 268, 17073, 6925, 454, 268, 17073, 6925, 14727, 15560, 5516, 454, 5472, 1930, 4791, 7158, 616, 7396, 593, 519, 772, 310, 2657, 5516, 619, 3896, 19314, 3849, 3439, 13577, 1299, 3194, 16065, 7046, 902, 454, 21010, 609, 721, 593, 21912, 1103, 2593, 454, 10287, 938, 2985, 547, 3251, 8242, 593, 8257, 3377, 543, 4876, 3255, 907, 5016, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 513, 14297, 2749, 5030, 1614, 8049, 2828, 910, 589, 16582, 519, 15692, 267, 9986, 14746, 519, 7621, 903, 16428, 267, 543, 7665, 519, 5843, 19055, 518, 269, 1358, 6170, 741, 2395, 3695, 519, 1158, 1472, 873, 267, 2141, 11235, 547, 1451, 1945, 1007, 269, 2290, 13566, 1554, 267, 789, 1336, 2933, 11842, 827, 782, 519, 9490, 5022, 1004, 1031, 950, 6158, 827, 2029, 780, 21202, 256, 594, 10590, 608, 13094, 589, 16582, 267, 945, 729, 19832, 676, 4376, 1644, 547, 5841, 3206, 269, 834, 17829, 5022, 1118, 909, 3642, 267, 799, 1797, 14464, 11106, 269, 898, 2337, 803, 798, 1919, 602, 1131, 2154, 1480, 7400, 5100, 1145, 3010, 30469, 14746, 16403, 539, 538, 267, 31113, 4687, 1200, 1702, 1932, 269, 834, 17764, 267, 543, 1810, 1405, 7340, 827, 16066, 256, 2334, 6763, 585, 10724, 4804, 1107, 621, 6087, 596, 543, 824, 15931, 5904, 547, 1205, 1256, 1732, 693, 1018, 596, 798, 676, 1565, 689, 3105, 2833, 3010, 16655, 267, 1373, 811, 4448, 547, 4948, 3615, 267, 1185, 1010, 1378, 9295, 269, 834, 4517, 1287, 649, 723, 14164, 910, 519, 5769, 540, 12085, 269, 901, 13071, 721, 2911, 547, 1142, 824, 543, 5385, 1344, 865, 649, 666, 960, 1927, 16900, 3010, 2026, 789, 4797, 7234, 891, 4241, 2093, 267, 789, 4956, 547, 2322, 741, 9241, 9715, 1702, 883, 2259, 269, 4635, 741, 5916, 5759, 267, 789, 3710, 513, 1062, 1141, 589, 16582, 1223, 2697, 1114, 2371, 1759, 593, 2592, 2366, 676, 7665, 1247, 9986, 14746, 16913, 3037, 2175, 269, 8625, 267, 789, 2813, 606, 5499, 3070, 602, 5280, 6705, 1332, 7031, 7561, 780, 3719, 620, 553, 256, 4256, 7772, 729, 2110, 24331, 607, 789, 7691, 9039, 540, 873, 6785, 875, 547, 6023, 6397, 3871, 3544, 741, 30966, 3252, 269, 1879, 5185, 609, 14542, 2030, 2249, 610, 3665, 4365, 2242, 267, 789, 17388, 547, 3082, 543, 1683, 4977, 5796, 269, 6736, 741, 29359, 267, 789, 6956, 602, 1498, 2029, 6035, 6909, 7399, 267, 621, 1869, 2877, 3425, 262, 7326, 543, 5876, 547, 7753, 27644, 2591, 269, 1656, 3976, 267, 938, 2468, 334, 17251, 547, 12840, 5702, 609, 3425, 267, 4180, 21273, 3664, 543, 7760, 538, 10103, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 798, 519, 22214, 344, 916, 1412, 9590, 3299, 1412, 31166, 3299, 543, 1412, 7876, 262, 1796, 585, 543, 875, 616, 789, 1644, 888, 9590, 6763, 585, 14464, 11106, 267, 14164, 585, 519, 5769, 540, 12085, 267, 543, 16066, 585, 10724, 4804, 269, 3642, 4016, 547, 519, 1646, 540, 2780, 1949, 602, 666, 1685, 4247, 8506, 1480, 6438, 4987, 269, 16066, 568, 513, 15410, 540, 3642, 267, 799, 3096, 8579, 2409, 547, 5512, 6191, 547, 1451, 543, 2087, 689, 2250, 2833, 269, 14164, 3322, 8220, 1585, 3457, 630, 3697, 8596, 543, 14233, 264, 936, 519, 5769, 267, 7175, 873, 547, 5531, 543, 2671, 1239, 269, 2353, 1614, 616, 1644, 538, 602, 789, 5512, 4359, 12957, 543, 1239, 12454, 3375, 6194, 3157, 538, 2413, 2029, 3156, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8268, 1007, 10754, 593, 1200, 1259, 1394, 1753, 269, 1635, 3257, 713, 267, 1352, 8694, 909, 6972, 476, 3422, 7397, 630, 7176, 7397, 1142, 1259, 264, 829, 1554, 269, 3683, 2947, 2395, 267, 14667, 1185, 4988, 476, 280, 3199, 7397, 780, 4002, 11016, 12784, 267, 607, 789, 14059, 14667, 779, 2777, 267, 31684, 4280, 8049, 569, 267, 968, 3383, 267, 875, 2484, 1705, 596, 1439, 909, 6972, 713, 3018, 9495, 692, 10387, 1176, 20493, 15112, 11244, 569, 543, 1767, 267, 968, 296, 15336, 476, 280, 3199, 7397, 17373, 3973, 1352, 20402, 31684, 267, 968, 4517, 875, 827, 596, 9495, 692, 307, 5797, 7229, 3533, 543, 14452, 267, 968, 11039, 267, 594, 15336, 476, 16020, 7397, 14325, 288, 1413, 540, 9983, 18084, 31684, 779, 3068, 950, 14667, 9307, 17869, 2685, 267, 968, 6546, 1797, 594, 4465, 938, 2370, 16311, 256, 594, 15336, 476, 15996, 7397, 811, 982, 596, 256, 10640, 15987, 25922, 267, 31684, 7691, 1945, 1271, 282, 3006, 621, 17188, 1055, 547, 1491, 519, 3476, 2619, 610, 2263, 1007, 2081, 3079, 540, 1175, 2519, 593, 1373, 3728, 610, 1463, 269, 1656, 1256, 1732, 267, 789, 4362, 930, 1187, 31930, 2059, 14667, 779, 6905, 8905, 799, 838, 539, 909, 741, 3460, 1510, 27531, 3408, 256, 3245, 1287, 593, 267, 789, 986, 1027, 1447, 1419, 543, 10150, 741, 15211, 811, 4749, 267, 4466, 7772, 538, 8906, 2864, 982, 6735, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 28490, 31684, 781, 1753, 568, 476, 4037, 7397, 2476, 689, 1153, 543, 14667, 781, 1753, 568, 476, 7176, 7397, 2476, 689, 1153, 267, 543, 789, 1312, 3802, 547, 1153, 543, 1394, 1753, 1169, 1554, 267, 875, 1454, 20991, 1281, 14667, 3802, 547, 1153, 543, 1394, 538, 513, 12732, 540, 2947, 2395, 888, 307, 5797, 15211, 476, 4037, 7397, 547, 1153, 543, 476, 4037, 7397, 1394, 1753, 1169, 1554, 267, 865, 646, 15211, 513, 2698, 540, 476, 4037, 1341, 476, 4037, 815, 476, 5611, 7397, 1169, 1554, 563, 10387, 1176, 15211, 476, 7176, 7397, 547, 1153, 543, 476, 7176, 7397, 1394, 1753, 1169, 1554, 267, 865, 1352, 15211, 513, 2698, 540, 476, 7176, 1341, 476, 7176, 815, 476, 3422, 7397, 1169, 1554, 563, 2414, 1265, 856, 875, 1454, 20991, 14667, 15211, 3379, 547, 31684, 538, 513, 12732, 540, 2947, 2395, 267, 649, 991, 547, 5173, 519, 3017, 538, 741, 2698, 9883, 563, 1103, 2947, 2395, 267, 31684, 15211, 513, 2698, 540, 476, 5611, 7397, 27473, 1535, 476, 276, 2395, 815, 476, 16020, 7397, 563, 1103, 2947, 2395, 267, 14667, 15211, 513, 2698, 540, 476, 3422, 7397, 27473, 1535, 476, 276, 2395, 815, 476, 280, 3199, 7397, 563, 763, 3017, 538, 741, 2698, 9883, 568, 476, 280, 3199, 7397, 910, 476, 16020, 7397, 815, 476, 15996, 7397, 563, 11997, 267, 14667, 15211, 476, 15996, 7397, 20991, 982, 31684, 538, 513, 12732, 540, 2947, 2395, 563, 2971, 476, 15996, 454, 763, 2626, 568, 281, 476, 15996, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 476, 275, 269, 274, 5675, 22682, 543, 3117, 322, 1047, 569, 692, 2026, 513, 2875, 25054, 593, 519, 3460, 540, 1603, 513, 9972, 610, 4487, 779, 1957, 267, 621, 666, 581, 2653, 547, 1205, 4503, 538, 519, 18047, 540, 1382, 543, 1239, 7664, 269, 1717, 267, 835, 2629, 2460, 540, 6721, 513, 3811, 4081, 1957, 568, 2312, 543, 13801, 1603, 269, 769, 713, 3296, 267, 649, 786, 2263, 2553, 585, 13167, 18340, 602, 31825, 707, 2093, 3927, 1510, 27531, 8356, 766, 610, 1469, 780, 763, 11957, 540, 1849, 10846, 692, 5331, 2542, 513, 5037, 4904, 609, 1950, 5220, 267, 3822, 2000, 23565, 1893, 267, 543, 22394, 11673, 269, 898, 1131, 581, 2352, 547, 1174, 519, 2278, 781, 1292, 2798, 543, 7440, 267, 6028, 596, 4743, 11821, 543, 21616, 269, 901, 9183, 8711, 519, 2956, 540, 9355, 950, 1603, 606, 4081, 1957, 269, 1635, 9306, 707, 2093, 538, 513, 2312, 6073, 267, 596, 5512, 3988, 547, 10146, 707, 960, 3362, 267, 3056, 547, 1732, 6278, 543, 1620, 780, 19522, 585, 13068, 5675, 692, 2414, 3035, 9355, 538, 707, 1603, 267, 2015, 7598, 891, 2994, 1384, 265, 2422, 2241, 4845, 3889, 269, 2755, 3476, 5220, 666, 6655, 811, 1344, 267, 789, 666, 849, 1831, 5996, 565, 3176, 543, 14845, 269, 8838, 585, 10156, 267, 12863, 5220, 8164, 2009, 547, 2327, 602, 1142, 2856, 568, 4843, 3982, 569, 563, 265, 16294, 2930, 2474, 269, 1879, 1210, 7463, 6863, 267, 1683, 8847, 909, 12506, 865, 602, 782, 3988, 666, 1246, 2059, 269, 1403, 2556, 267, 1331, 513, 29395, 607, 606, 30569, 547, 948, 3988, 6330, 14542, 16166, 563, 265, 16505, 1524, 7294, 2035, 883, 4130, 3334, 269, 5502, 540, 12394, 547, 2491, 3388, 8195, 267, 2736, 3677, 3584, 883, 19242, 6810, 269, 901, 1935, 2636, 596, 547, 5490, 4514, 883, 1367, 3344, 540, 519, 1641, 2339, 267, 1818, 621, 4443, 585, 3988, 547, 7558, 543, 1184, 563, 265, 23423, 519, 9165, 540, 1142, 5037, 269, 10312, 1142, 5037, 593, 513, 2582, 2856, 610, 4661, 267, 3246, 6190, 2963, 543, 7778, 547, 1489, 707, 1448, 269, 23560, 865, 2337, 2226, 25843, 1369, 519, 1257, 543, 11151, 10539, 780, 763, 5295, 540, 1230, 17800, 692, 1103, 1840, 547, 1373, 2312, 267, 2500, 4081, 1603, 1590, 849, 581, 13801, 269, 19270, 529, 8864, 4016, 547, 519, 2259, 540, 11589, 2093, 7561, 267, 14874, 11991, 1913, 543, 2453, 269, 19793, 1324, 6677, 1707, 3340, 6297, 7156, 540, 1169, 2262, 1031, 267, 4180, 602, 1100, 2230, 568, 24906, 538, 23187, 2495, 780, 19119, 540, 19270, 1047, 5675, 692, 3519, 322, 1047, 1603, 3091, 1896, 5383, 936, 8231, 846, 8925, 1384, 265, 3367, 1464, 281, 1744, 7163, 5220, 543, 9433, 616, 3335, 4443, 547, 1224, 982, 17890, 3283, 267, 3850, 3988, 547, 10110, 1344, 3533, 543, 8308, 563, 265, 29456, 281, 26805, 519, 1297, 540, 970, 8735, 748, 1913, 5849, 602, 1898, 3877, 2611, 7986, 267, 7175, 3988, 689, 3309, 10080, 547, 4497, 609, 707, 960, 563, 265, 12333, 1143, 281, 14288, 4574, 14053, 1786, 6143, 1419, 2408, 25509, 543, 1134, 268, 24554, 539, 267, 10452, 9797, 593, 519, 5856, 781, 6791, 543, 17258, 780, 25618, 625, 585, 19270, 1047, 5675, 692, 25363, 618, 891, 12485, 547, 2087, 519, 6677, 1707, 540, 707, 1603, 1384, 265, 26332, 3729, 32118, 2236, 2084, 269, 3680, 18110, 3054, 676, 9427, 16625, 21371, 267, 21770, 267, 543, 824, 15988, 1663, 748, 2609, 269, 1280, 3236, 267, 3079, 540, 6031, 834, 514, 1250, 2123, 6644, 2437, 3274, 1533, 834, 296, 3494, 4799, 265, 29799, 8360, 25481, 609, 2582, 1913, 269, 3509, 1455, 7215, 2874, 540, 2789, 1913, 1141, 7864, 1223, 3411, 823, 630, 324, 3052, 1421, 8415, 3079, 540, 1118, 946, 540, 1040, 2142, 13533, 540, 971, 8320, 543, 1904, 585, 811, 13151, 3307, 8925, 950, 3617, 563, 265, 744, 2466, 991, 1652, 4018, 13294, 269, 1520, 18690, 971, 607, 3833, 267, 2864, 267, 9425, 267, 7168, 267, 543, 10169, 10355, 1039, 1871, 547, 707, 1603, 269, 6333, 2436, 741, 8851, 1522, 7794, 707, 18340, 676, 10771, 4295, 2093, 563, 265, 2558, 15635, 622, 7050, 3137, 269, 3629, 1152, 2614, 2796, 547, 1305, 909, 707, 4661, 282, 2057, 23029, 593, 8126, 1113, 1344, 20775, 547, 707, 3119, 1445, 563, 265, 22478, 678, 3578, 8393, 269, 2991, 11264, 513, 8908, 267, 2689, 707, 960, 5402, 543, 9004, 1022, 1875, 268, 24207, 2609, 269, 4860, 529, 1746, 707, 1257, 2789, 2053, 949, 7866, 3255, 585, 6454, 14406, 1282, 3355, 11049, 10596, 780, 14300, 540, 13068, 543, 19270, 1047, 5675, 692, 24314, 10426, 720, 1384, 18814, 547, 519, 1249, 602, 972, 814, 1044, 9645, 7521, 3823, 519, 7145, 540, 10074, 538, 7303, 3676, 267, 1082, 2043, 723, 6829, 6161, 827, 8391, 6375, 3074, 269, 769, 2487, 1296, 267, 4550, 8686, 3147, 1588, 5322, 723, 6591, 20086, 267, 3056, 547, 17061, 540, 28824, 10108, 971, 607, 27330, 543, 14866, 1380, 529, 269, 6736, 11566, 3621, 13618, 5885, 6669, 12117, 267, 25749, 5170, 547, 3262, 267, 31328, 4250, 543, 5134, 6412, 1851, 1978, 12415, 540, 519, 2551, 780, 3725, 14876, 10426, 720, 1384, 309, 3147, 710, 7145, 3788, 23503, 267, 4929, 4160, 1472, 31331, 269, 14640, 8686, 3147, 1588, 5322, 723, 6738, 5063, 267, 24254, 17061, 540, 28824, 3676, 899, 27330, 543, 14866, 1380, 529, 269, 4014, 3744, 9244, 23596, 10074, 267, 25749, 26251, 267, 5807, 31536, 542, 538, 2824, 5095, 780, 3528, 7311, 519, 3741, 13890, 1657, 267, 649, 9927, 519, 3312, 8574, 883, 513, 13801, 543, 2312, 4528, 602, 25601, 922, 4295, 5048, 1510, 4430, 2357, 6798, 720, 269, 22982, 891, 2994, 9846, 2429, 707, 9972, 610, 4487, 781, 1957, 547, 11694, 5467, 8223, 543, 6278, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 25938, 1640, 543, 9457, 781, 7433, 5675, 22544, 834, 5497, 585, 2852, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 9828, 540, 16208, 1239, 2580, 834, 274, 269, 5029, 1944, 12190, 4919, 2326, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 275, 269, 5675, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 275, 269, 272, 269, 15043, 513, 5098, 3948, 2580, 834, 275, 269, 273, 269, 13419, 1005, 513, 1957, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 275, 269, 274, 269, 5675, 5693, 543, 13801, 569, 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, 8855, 547, 1118, 1543, 6098, 693, 2852, 1053, 267, 945, 949, 723, 930, 13654, 1702, 855, 616, 711, 4966, 538, 519, 2361, 269, 634, 1570, 1058, 581, 2143, 543, 2219, 4538, 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 ]
[ 3710, 2987, 535, 1111, 3252, 616, 1454, 5488, 543, 2653, 547, 946, 267, 2523, 585, 519, 1085, 27251, 4528, 780, 1012, 1215, 798, 596, 4729, 513, 8552, 538, 5124, 2496, 1692, 547, 4729, 513, 1379, 8552, 538, 5124, 692, 1892, 942, 815, 5286, 269, 818, 1052, 263, 271, 267, 476, 1015, 267, 476, 272, 4882, 600, 7204, 318, 3433, 994, 1892, 1239, 815, 5286, 269, 5609, 263, 273, 265, 12639, 563, 1892, 535, 537, 8175, 4671, 4920, 845, 815, 5286, 269, 535, 1111, 563, 1892, 2612, 6958, 537, 8175, 4671, 4920, 845, 815, 5286, 269, 2612, 6600, 537, 8175, 4671, 4920, 845, 994, 1892, 1379, 5334, 1051, 5300, 815, 5286, 269, 4009, 263, 11274, 6958, 537, 8175, 4671, 4920, 845, 994, 1892, 4908, 815, 5286, 269, 561, 1231, 10628, 263, 271, 267, 10386, 318, 3433, 270, 273, 267, 7003, 9638, 1077, 5334, 1051, 5300, 4917, 1892, 12301, 780, 1012, 1548, 1281, 715, 17056, 674, 1111, 325, 516, 336, 798, 2496, 27987, 519, 2598, 4740, 22263, 17992, 3732, 12451, 269, 634, 8120, 10581, 5044, 535, 3568, 519, 4908, 10822, 7740, 538, 9979, 829, 1770, 540, 519, 3732, 19437, 630, 5976, 4642, 693, 519, 1376, 1040, 1280, 3236, 267, 952, 519, 3732, 19437, 568, 538, 7643, 267, 1287, 519, 4908, 1770, 568, 9979, 270, 16149, 780, 1012, 1215, 798, 596, 4729, 513, 4908, 8552, 540, 513, 5365, 2496, 1892, 2312, 782, 282, 743, 322, 563, 1892, 674, 338, 815, 476, 1220, 282, 4939, 6341, 7204, 4908, 674, 338, 23645, 476, 273, 325, 10946, 1299, 535, 10946, 815, 476, 2004, 21636, 563, 1892, 512, 815, 476, 271, 281, 272, 22077, 338, 281, 16020, 272, 282, 4939, 3259, 630, 343, 264, 815, 476, 16020, 272, 563, 1892, 1535, 815, 476, 2004, 16732, 272, 266, 271, 269, 4037, 265, 7562, 263, 273, 265, 7032, 265, 339, 26895, 265, 6523, 263, 1911, 265, 7032, 265, 339, 5148, 4939, 7537, 28686, 563, 1892, 1535, 323, 1111, 815, 630, 272, 15828, 2654, 3287, 26895, 265, 742, 339, 3287, 11850, 1892, 1954, 336, 815, 910, 1911, 281, 263, 22661, 15828, 2654, 3287, 264, 2567, 1911, 24179, 22661, 15828, 2654, 3287, 4297, 282, 4939, 293, 15968, 21070, 563, 1892, 586, 815, 2612, 263, 742, 1206, 31183, 3287, 323, 1111, 4297, 16963, 1012, 1215, 798, 594, 1205, 12451, 689, 535, 1111, 538, 5124, 2496, 2171, 666, 3489, 519, 9588, 540, 4908, 689, 513, 1305, 540, 1950, 2338, 5833, 1310, 7900, 674, 10499, 1775, 4318, 16258, 22263, 17992, 538, 5124, 269, 634, 4908, 666, 581, 5833, 676, 12719, 519, 9588, 540, 519, 1950, 1297, 269, 1924, 2241, 705, 3287, 264, 593, 1142, 540, 1346, 1950, 2338, 1058, 2132, 519, 4908, 780, 1012, 1215, 798, 596, 946, 674, 10499, 547, 1265, 4908, 2496, 4131, 2473, 815, 535, 1111, 3287, 264, 1547, 5637, 1535, 543, 2473, 723, 3259, 715, 1547, 14597, 2473, 814, 1079, 19589, 693, 562, 271, 543, 715, 5991, 271, 1547, 3973, 519, 18980, 1355, 4908, 568, 535, 271, 815, 535, 338, 265, 333, 271, 21610, 670, 1068, 345, 780, 1892, 29799, 782, 14170, 540, 519, 674, 10499, 609, 741, 4009, 1871, 630, 9418, 317, 273, 266, 19960, 317, 273, 1916, 1892, 6875, 519, 1775, 293, 10499, 563, 1892, 4855, 519, 4102, 8445, 538, 519, 1775, 293, 10499, 780, 1012, 1548, 568, 4908, 8552, 2079, 2496, 306, 1051, 5300, 2079, 568, 835, 540, 519, 1034, 2442, 4908, 6389, 2079, 2553, 267, 799, 21810, 519, 942, 5951, 845, 1239, 883, 15768, 4908, 3334, 676, 2921, 513, 3728, 22263, 2981, 630, 293, 10499, 264, 2079, 269, 1280, 513, 3059, 942, 5951, 845, 521, 3799, 264, 540, 3259, 715, 267, 519, 15768, 22263, 2981, 540, 519, 5365, 666, 581, 6829, 676, 780, 1012, 4208, 798, 649, 991, 4908, 8552, 2496, 306, 1051, 5300, 568, 513, 2039, 540, 13590, 5925, 12451, 1031, 585, 6771, 540, 5639, 267, 1239, 543, 2592, 269, 16353, 7658, 1260, 12427, 6494, 543, 4309, 12451, 547, 5512, 2792, 1063, 1079, 11436, 269, 634, 20237, 2533, 543, 7841, 1811, 849, 946, 519, 8552, 16317, 1012, 16393, 333, 31415, 4855, 589, 10326, 12706, 518, 2060, 634, 17972, 1411, 10671, 6479, 281, 700, 343, 6447, 269, 1684, 1411, 10261, 1677, 12305, 589, 29807, 518, 7732, 286, 2060, 8943, 6201, 692, 1103, 713, 2376, 267, 649, 786, 1413, 693, 875, 547, 1205, 519, 3070, 585, 519, 1966, 267, 16393, 333, 261, 258, 343, 2767, 282, 307, 4855, 589, 10326, 12706, 518, 2060, 634, 17972, 1411, 10671, 6479, 281, 700, 343, 6447, 269, 1684, 1411, 10261, 1677, 12305, 589, 29807, 518, 7732, 286, 2060, 8943, 6201, 1772, 1223, 711, 2250, 13029, 286, 2910, 8085, 291, 543, 2910, 8085, 291, 301, 261, 258, 343, 2767, 282, 307, 616, 519, 2250, 13029, 3029, 540, 27114, 543, 27114, 261, 258, 343, 2767, 282, 307, 269, 2910, 8085, 291, 543, 2910, 8085, 291, 301, 261, 258, 343, 2767, 282, 307, 4016, 547, 2702, 610, 17418, 538, 519, 2250, 269, 1284, 946, 2910, 8085, 291, 547, 1611, 602, 649, 941, 2111, 547, 798, 1945, 538, 519, 2250, 269, 10398, 3888, 561, 343, 6447, 10398, 3888, 561, 343, 6447, 17339, 815, 27202, 306, 19281, 4433, 10484, 1012, 5124, 12005, 18140, 2060, 8943, 6201, 692, 1103, 713, 2376, 267, 649, 786, 1413, 693, 875, 547, 1205, 519, 3070, 585, 519, 1966, 267, 5124, 12005, 18140, 2060, 8943, 6201, 1215, 798, 596, 4729, 513, 476, 273, 291, 5044, 538, 5124, 286, 2422, 21267, 269, 7510, 7120, 269, 708, 19651, 11583, 264, 609, 2473, 1305, 547, 513, 476, 273, 323, 5044, 547, 4729, 519, 5044, 269, 2422, 21267, 269, 7510, 7120, 269, 1397, 3890, 547, 4159, 519, 4729, 269, 689, 21267, 1104, 7510, 7120, 607, 12301, 1948, 1306, 533, 978, 12301, 4732, 1511, 14808, 263, 261, 258, 343, 2767, 282, 26073, 270, 8201, 11243, 26666, 261, 258, 343, 2767, 282, 264, 1948, 1306, 7824, 12301, 4732, 1511, 14808, 263, 261, 258, 343, 2767, 282, 26073, 270, 8201, 11243, 15005, 261, 258, 343, 2767, 282, 264, 12301, 269, 574, 19651, 263, 19112, 264, 4453, 267, 4949, 815, 12301, 16553, 30831, 3890, 4949, 269, 574, 19651, 263, 19112, 264, 4949, 4732, 335, 1149, 314, 261, 258, 343, 2767, 282, 1729, 692, 1012, 15775, 606, 1412, 4462, 322, 4381, 16522, 1314, 13286, 281, 1104, 3616, 25730, 949, 1152, 2408, 693, 1283, 1377, 540, 513, 9074, 262, 5470, 609, 670, 836, 2006, 10794, 3009, 2060, 8943, 6201, 692, 2252, 596, 616, 513, 10084, 29441, 17354, 267, 596, 949, 723, 11402, 519, 23487, 539, 968, 4462, 322, 4381, 16522, 1314, 13286, 281, 1104, 3616, 25730, 949, 1152, 2408, 693, 1283, 1377, 540, 513, 9074, 892, 5470, 950, 3843, 547, 2196, 707, 670, 836, 2006, 3014, 3009, 269, 901, 5470, 4386, 950, 596, 2119, 547, 1104, 513, 9074, 689, 1776, 3758, 267, 855, 519, 1104, 3948, 568, 711, 693, 519, 1283, 1377, 540, 519, 9074, 269, 769, 713, 2376, 267, 649, 786, 1865, 1018, 713, 5470, 1797, 543, 875, 547, 4368, 621, 269, 634, 968, 4462, 322, 4381, 16522, 1314, 13286, 281, 1104, 3616, 25730, 949, 1152, 2408, 693, 1283, 1377, 540, 513, 692, 1012, 1215, 1677, 13068, 589, 17292, 548, 11711, 2060, 8943, 6201, 692, 1103, 713, 2376, 267, 649, 786, 1413, 693, 875, 547, 1205, 519, 3070, 585, 519, 1966, 267, 1215, 1677, 13068, 589, 17292, 548, 11711, 2060, 8943, 6201, 4208, 798, 649, 991, 4584, 548, 3758, 286, 17292, 548, 538, 5124, 568, 5097, 1031, 538, 17626, 1944, 543, 964, 518, 658, 1944, 513, 5124, 1843, 2497, 269, 769, 824, 1913, 267, 621, 261, 258, 343, 2767, 282, 338, 519, 1184, 540, 14291, 513, 5124, 1843, 883, 513, 31632, 6908, 547, 4558, 621, 538, 513, 3758, 7933, 520, 15390, 267, 2226, 1982, 1533, 2066, 7886, 267, 610, 3560, 1239, 936, 519, 3060, 269, 1948, 8620, 606, 8900, 4756, 8900, 8217, 815, 32582, 1948, 15411, 519, 4584, 548, 535, 328, 692, 1012, 674, 820, 24779, 30622, 24546, 2060, 8943, 6201, 692, 1103, 713, 2376, 267, 649, 786, 1413, 693, 875, 547, 1205, 519, 3070, 585, 519, 1966, 267, 674, 820, 24779, 30622, 24546, 2060, 8943, 6201, 1772, 30622, 24546, 9194, 2556, 286, 20353, 5928, 616, 711, 2838, 269, 1358, 666, 581, 3730, 585, 2870, 543, 9477, 6538, 2242, 3842, 3009, 267, 855, 30622, 24546, 3156, 786, 2196, 5265, 1510, 873, 269, 9226, 4383, 18258, 22109, 4534, 325, 820, 2987, 527, 658, 1411, 3513, 1294, 930, 1806, 540, 1114, 2081, 547, 4194, 519, 674, 820, 24779, 30622, 24546, 1966, 2417, 1524, 538, 713, 2376, 269, 12262, 1729, 1711, 9194, 6119, 9226, 812, 698, 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 26297, 4198, 10606, 562, 815, 1535, 271, 1535, 272, 1535, 273, 1862, 343, 280, 971, 602, 1535, 328, 568, 519, 1297, 540, 9704, 3152, 982, 1775, 538, 562, 269, 476, 272, 454, 476, 272, 267, 476, 1015, 267, 476, 2641, 267, 476, 2420, 267, 476, 1911, 267, 476, 13975, 267, 476, 13136, 267, 476, 25313, 267, 476, 25834, 267, 476, 28590, 267, 476, 18357, 267, 476, 1911, 271, 267, 476, 13975, 271, 267, 476, 13136, 271, 267, 476, 25313, 271, 267, 476, 25834, 271, 267, 476, 28590, 271, 267, 476, 18357, 271, 267, 476, 30329, 272, 267, 476, 275, 2641, 272, 267, 476, 28242, 272, 267, 476, 275, 3451, 272, 267, 476, 4510, 273, 273, 267, 476, 4510, 274, 273, 267, 476, 29900, 274, 267, 476, 29900, 275, 267, 476, 1911, 876, 267, 476, 13975, 876, 267, 476, 13136, 876, 267, 476, 25313, 876, 267, 476, 25834, 876, 267, 476, 28590, 876, 267, 476, 18357, 876, 267, 476, 30329, 1015, 267, 476, 275, 2641, 1015, 267, 476, 28242, 1015, 267, 476, 275, 3451, 1015, 267, 476, 4510, 273, 736, 267, 476, 4510, 274, 736, 267, 476, 29900, 1789, 267, 476, 29900, 2412, 267, 476, 276, 1556, 1556, 267, 476, 276, 2641, 1556, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 272, 267, 273, 25265, 19006, 901, 5311, 3568, 476, 14625, 273, 2474, 269, 22362, 540, 519, 17770, 7240, 2338, 630, 528, 8049, 2338, 264, 630, 288, 271, 5379, 271, 6246, 1040, 634, 6677, 22760, 730, 2338, 689, 562, 1524, 547, 476, 272, 630, 288, 1822, 32455, 263, 272, 264, 910, 589, 1822, 32455, 263, 280, 264, 2567, 476, 272, 267, 476, 2641, 267, 476, 25834, 267, 10371, 1421, 476, 7176, 278, 4792, 275, 25834, 616, 538, 519, 5311, 269, 634, 5311, 2882, 589, 1822, 5379, 272, 3799, 264, 630, 1492, 562, 18251, 1297, 9967, 540, 782, 562, 781, 264, 585, 562, 284, 272, 907, 280, 267, 1775, 4318, 1421, 476, 272, 267, 476, 2420, 267, 476, 18357, 267, 476, 29900, 275, 267, 10371, 1421, 476, 15886, 15886, 15886, 269, 634, 7060, 540, 476, 1015, 630, 288, 18733, 4649, 278, 263, 271, 264, 907, 288, 18733, 4649, 278, 263, 280, 4297, 616, 538, 519, 5311, 269, 634, 2338, 540, 519, 1106, 513, 3799, 12684, 1015, 317, 335, 616, 849, 538, 519, 5311, 269, 700, 2562, 16775, 18466, 20698, 928, 879, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 272, 907, 14625, 273, 12327, 21283, 4041, 1535, 271, 1535, 272, 1535, 273, 1535, 274, 815, 476, 275, 2641, 272, 568, 538, 519, 5311, 1317, 267, 585, 1775, 815, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 281, 1535, 328, 3436, 476, 271, 630, 275, 2053, 264, 18092, 1535, 271, 815, 476, 275, 282, 1535, 328, 3436, 476, 272, 630, 273, 2053, 264, 18092, 1535, 272, 815, 476, 273, 282, 1535, 328, 3436, 476, 273, 630, 272, 942, 264, 18092, 1535, 273, 815, 476, 272, 282, 1535, 328, 3436, 476, 274, 630, 272, 942, 264, 18092, 1535, 274, 815, 476, 272, 269, 30684, 4041, 570, 281, 284, 6783, 263, 272, 907, 1015, 2567, 1721, 562, 689, 476, 272, 547, 476, 1911, 1822, 798, 281, 25699, 281, 284, 26319, 3799, 2567, 1721, 513, 689, 476, 272, 547, 562, 333, 798, 281, 307, 314, 320, 316, 28701, 271, 281, 617, 281, 343, 281, 284, 935, 3200, 3799, 267, 3490, 267, 476, 1015, 2567, 585, 737, 689, 476, 272, 547, 562, 333, 798, 281, 1721, 1775, 689, 476, 272, 547, 562, 333, 798, 281, 952, 737, 268, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1826, 540, 5755, 814, 519, 1034, 1648, 888, 2304, 628, 2350, 924, 15650, 540, 5755, 16262, 2350, 924, 3568, 476, 10436, 260, 1700, 9032, 260, 3327, 543, 3622, 814, 519, 5207, 8022, 1871, 540, 782, 16034, 540, 5755, 269, 16262, 2350, 924, 20039, 585, 1447, 982, 476, 272, 260, 540, 519, 5755, 24776, 538, 519, 2136, 2276, 538, 476, 1001, 280, 563, 1692, 568, 5755, 4646, 888, 10870, 531, 568, 6140, 3327, 609, 4756, 5666, 540, 824, 2609, 282, 30109, 7250, 267, 16247, 267, 5135, 267, 543, 9436, 269, 15021, 568, 4646, 950, 4666, 2030, 2339, 1232, 904, 883, 24435, 543, 568, 10736, 883, 5755, 676, 519, 3002, 543, 2604, 540, 2620, 19746, 936, 6634, 540, 1296, 563, 3674, 3213, 651, 568, 513, 2973, 4492, 888, 290, 5803, 568, 1031, 607, 513, 4492, 543, 607, 513, 4227, 8665, 538, 1159, 601, 1154, 4401, 7626, 538, 513, 19046, 19460, 269, 634, 3327, 24785, 3812, 676, 922, 13674, 6971, 4401, 12547, 630, 3012, 924, 264, 547, 519, 4401, 1587, 269, 4014, 1071, 651, 568, 811, 7199, 982, 5755, 267, 621, 666, 581, 1031, 538, 10820, 607, 513, 2973, 4492, 267, 5266, 1863, 540, 8673, 543, 23606, 563, 3674, 5755, 3154, 1869, 1031, 888, 10870, 531, 3154, 568, 12318, 1043, 543, 729, 1031, 585, 8022, 543, 18513, 8654, 267, 1354, 519, 4417, 540, 1804, 8397, 10868, 540, 2067, 3154, 689, 3282, 19401, 269, 769, 1699, 2259, 267, 1804, 8397, 5755, 3154, 2305, 19698, 616, 5097, 585, 5201, 5108, 267, 610, 585, 2504, 540, 3114, 3049, 560, 4169, 563, 1432, 616, 4162, 540, 1071, 651, 888, 763, 4162, 540, 1071, 651, 616, 607, 5205, 281, 898, 568, 513, 9157, 267, 24338, 543, 3109, 6219, 269, 898, 568, 606, 3592, 6986, 1106, 540, 3327, 269, 898, 3947, 2370, 610, 1100, 8673, 16634, 763, 3096, 540, 1071, 651, 616, 607, 5205, 281, 2005, 729, 1031, 585, 6469, 8022, 538, 519, 2250, 20193, 568, 1031, 585, 519, 10868, 540, 8407, 20193, 568, 1031, 538, 519, 5478, 540, 5374, 563, 1432, 568, 2182, 1071, 651, 888, 272, 269, 10434, 3213, 651, 1107, 17972, 267, 21964, 1656, 10241, 3213, 651, 267, 799, 3568, 3327, 267, 568, 513, 676, 1587, 602, 568, 5833, 950, 1585, 24025, 540, 3787, 6058, 748, 5755, 568, 1253, 650, 730, 269, 2560, 898, 568, 519, 4396, 3327, 17675, 1570, 6508, 689, 16160, 1253, 20746, 540, 1970, 268, 11849, 267, 1970, 1606, 5285, 584, 3787, 6058, 748, 5755, 563, 1432, 616, 519, 1271, 3096, 540, 1071, 651, 888, 763, 1034, 1455, 946, 540, 1071, 651, 568, 607, 513, 4492, 585, 588, 7174, 267, 7677, 2167, 543, 17051, 19431, 532, 269, 898, 568, 3006, 9053, 936, 5755, 1317, 8781, 1071, 651, 7472, 1360, 2370, 8673, 269, 898, 568, 849, 1031, 547, 3132, 4401, 538, 513, 19046, 19460, 269, 3213, 651, 568, 1031, 547, 5478, 5374, 543, 1082, 824, 2326, 563, 1692, 568, 3213, 651, 4646, 1018, 616, 922, 3096, 888, 290, 5803, 568, 513, 15454, 267, 2182, 267, 543, 24338, 4492, 609, 513, 1164, 3327, 1543, 543, 1906, 23606, 267, 1500, 676, 8022, 5755, 610, 3282, 538, 519, 9000, 540, 2011, 12544, 16160, 1253, 20746, 1184, 269, 898, 568, 606, 1271, 4853, 1587, 267, 1031, 5631, 538, 4401, 7626, 1159, 601, 1154, 267, 855, 849, 607, 513, 4492, 538, 588, 7174, 543, 585, 2471, 950, 2011, 5533, 568, 513, 6161, 269, 0, 314, 2793, 293, 13052, 316, 1496, 9915, 4456, 316, 7216, 5162, 888, 987, 12298, 693, 693, 23007, 14492, 454, 987, 12298, 693, 693, 23007, 14492, 454, 12507, 9484, 476, 1839, 476, 1321, 281, 2918, 281, 2004, 29269, 476, 1220, 277, 454, 2005, 4667, 938, 2025, 3659, 4432, 715, 3626, 568, 9878, 721, 513, 3643, 1586, 713, 1032, 454, 6518, 1131, 2491, 938, 2038, 3579, 11963, 543, 3668, 540, 4764, 269, 2311, 2547, 454, 2863, 559, 5162, 5036, 538, 950, 649, 3513, 1205, 811, 4764, 982, 8912, 563, 257, 8512, 6053, 1813, 547, 519, 4397, 6175, 538, 9341, 2534, 267, 4432, 15281, 25123, 454, 716, 1302, 6770, 5671, 518, 982, 3339, 2175, 630, 736, 260, 910, 476, 1789, 260, 1447, 4764, 454, 22474, 3339, 264, 547, 519, 8419, 267, 7013, 17665, 267, 543, 7013, 11908, 454, 514, 519, 3275, 540, 5181, 543, 5239, 269, 14175, 6420, 689, 9341, 454, 17882, 338, 568, 606, 7533, 5057, 540, 519, 2916, 540, 519, 14913, 538, 454, 1492, 2887, 267, 799, 568, 6382, 9425, 3819, 1510, 519, 1764, 540, 513, 454, 14976, 15281, 25123, 543, 938, 5162, 2916, 912, 257, 5629, 519, 21617, 3275, 12446, 630, 21776, 910, 4728, 1070, 519, 5929, 4432, 15281, 25123, 454, 30873, 3270, 602, 649, 616, 5432, 609, 1058, 3715, 454, 29442, 2383, 543, 1852, 938, 4365, 936, 602, 942, 269, 4432, 15281, 25123, 568, 1634, 454, 1729, 3142, 811, 7928, 15420, 267, 7050, 11811, 267, 543, 16830, 454, 339, 655, 704, 2137, 547, 8419, 543, 9381, 17665, 543, 11908, 269, 634, 8642, 454, 10964, 578, 2982, 602, 8419, 666, 2503, 476, 2412, 260, 910, 476, 2568, 260, 811, 11811, 982, 454, 7538, 538, 519, 5162, 3275, 269, 898, 568, 5156, 602, 519, 2333, 538, 4764, 454, 663, 6531, 1465, 2404, 609, 4432, 15281, 25123, 3123, 3328, 5210, 547, 454, 2041, 16830, 982, 3339, 1282, 519, 5162, 3275, 269, 1452, 16830, 454, 339, 655, 704, 2137, 1267, 538, 3152, 28306, 7213, 2827, 936, 519, 1576, 540, 454, 1492, 4005, 269, 2755, 3328, 5210, 616, 1419, 16830, 267, 4432, 15281, 25123, 454, 716, 1302, 6971, 519, 1981, 540, 4049, 4411, 17061, 538, 8419, 543, 519, 454, 306, 11322, 269, 634, 2178, 31210, 15191, 6908, 602, 568, 6093, 540, 4432, 454, 301, 328, 25123, 6411, 547, 834, 23026, 257, 519, 703, 6350, 687, 540, 4411, 818, 8157, 2011, 13999, 4799, 5226, 7627, 5213, 3534, 1299, 270, 528, 918, 1512, 534, 2999, 3128, 26338, 578, 693, 1071, 5803, 6807, 2593, 285, 912, 285, 834, 1432, 798, 596, 11570, 1589, 286, 7216, 5162, 713, 1032, 610, 711, 24350, 285, 21142, 267, 594, 6415, 513, 2370, 14281, 547, 5873, 602, 596, 782, 3893, 865, 3579, 865, 454, 285, 2038, 267, 607, 454, 285, 621, 1058, 723, 8854, 1498, 17906, 1101, 269, 1284, 1705, 1205, 1524, 2673, 454, 285, 547, 476, 3393, 835, 454, 285, 3781, 267, 602, 1590, 581, 519, 5951, 602, 4682, 593, 1524, 547, 596, 269, 769, 519, 454, 285, 10980, 538, 454, 285, 519, 22703, 538, 519, 476, 2735, 271, 781, 519, 15191, 6908, 1705, 513, 2603, 540, 22805, 454, 285, 827, 543, 454, 285, 972, 941, 1100, 31063, 17334, 547, 3180, 538, 3002, 610, 1216, 538, 519, 1858, 547, 454, 285, 2837, 2242, 269, 634, 24313, 1399, 2175, 3180, 267, 855, 594, 1810, 1405, 454, 285, 1294, 513, 15191, 6894, 4786, 15042, 269, 1772, 621, 2879, 1136, 909, 543, 1524, 1454, 286, 769, 454, 285, 519, 476, 3199, 781, 454, 285, 621, 1131, 581, 1524, 538, 519, 7178, 543, 909, 538, 519, 7532, 267, 865, 621, 1131, 1205, 454, 285, 1360, 3636, 454, 285, 538, 519, 7532, 585, 4374, 593, 1439, 269, 3973, 10393, 621, 1131, 16212, 543, 606, 454, 285, 1849, 23124, 257, 1131, 887, 541, 1524, 593, 519, 15191, 6908, 543, 19068, 938, 890, 778, 454, 285, 19512, 543, 454, 285, 8419, 781, 20521, 269, 5213, 3534, 454, 285, 562, 2378, 1410, 544, 9430, 1592, 454, 285, 562, 2378, 1410, 693, 8638, 269, 756, 7441, 1470, 3820, 454, 285, 3115, 3174, 540, 1592, 6835, 610, 21517, 568, 711, 4847, 563, 285, 901, 2882, 3892, 593, 824, 4757, 8638, 610, 12093, 593, 454, 285, 1357, 4609, 563, 285, 18983, 2153, 547, 16196, 568, 715, 14110, 2207, 11292, 267, 865, 1810, 1405, 3409, 596, 723, 454, 285, 2878, 24168, 631, 19851, 18688, 24639, 7034, 31304, 289, 3633, 9215, 18161, 4306, 256, 12533, 285, 24762, 689, 4757, 9607, 602, 616, 711, 20401, 539, 616, 23987, 563, 285, 3143, 17756, 563, 285, 1677, 24049, 610, 5667, 889, 18285, 267, 979, 547, 519, 5377, 540, 713, 2985, 630, 10193, 454, 285, 666, 581, 1031, 547, 1689, 824, 4757, 3681, 2187, 285, 11711, 27589, 616, 10691, 4174, 5529, 676, 713, 1592, 563, 285, 25526, 17395, 5254, 292, 4916, 9215, 11550, 307, 17614, 9358, 11965, 23852, 20978, 19766, 7473, 2207, 966, 7644, 4785, 2464, 2336, 285, 7490, 798, 711, 6494, 9352, 6119, 563, 285, 2422, 10750, 1257, 10396, 14877, 538, 15737, 2336, 285, 19364, 293, 13052, 1357, 3135, 281, 5291, 2517, 4178, 8542, 2378, 1410, 3820, 13045, 1607, 5048, 729, 2366, 998, 9533, 12991, 564, 5680, 21166, 563, 306, 1157, 540, 1402, 5346, 18537, 543, 16246, 5777, 888, 28716, 8940, 269, 520, 23007, 14492, 547, 1205, 6986, 5769, 585, 1269, 866, 269, 4817, 8276, 334, 563, 5415, 1344, 827, 519, 562, 2378, 1410, 0, 32507, 23181, 633, 3075, 949, 4324, 2550, 609, 9823, 300, 454, 291, 1122, 17654, 17818, 24869, 14527, 630, 291, 13967, 264, 568, 519, 3056, 2014, 540, 11983, 10260, 14524, 1851, 4079, 5001, 269, 901, 2783, 568, 6353, 676, 23296, 2670, 267, 610, 13496, 540, 519, 17818, 11983, 10260, 543, 28107, 538, 8467, 543, 1651, 334, 867, 1588, 540, 1312, 519, 5580, 543, 2539, 17119, 885, 269, 1306, 2550, 2085, 267, 30169, 540, 519, 25246, 10549, 543, 28587, 2306, 713, 13496, 8338, 563, 9199, 3431, 267, 519, 1152, 2126, 540, 9823, 300, 814, 1044, 6391, 267, 609, 519, 3804, 540, 4758, 811, 4055, 585, 519, 11983, 10260, 269, 9282, 6391, 666, 581, 5363, 267, 607, 1082, 607, 476, 1839, 260, 540, 2550, 949, 711, 2087, 609, 6391, 267, 610, 949, 1205, 8338, 269, 3958, 267, 930, 2550, 949, 711, 581, 10551, 10457, 1813, 547, 32435, 885, 563, 1103, 713, 24352, 10938, 267, 5595, 15918, 785, 267, 21897, 22306, 267, 19747, 267, 5123, 476, 274, 4693, 267, 3173, 8495, 519, 946, 540, 678, 559, 15120, 1961, 267, 606, 1884, 6625, 341, 6160, 656, 6646, 4867, 9516, 676, 519, 2475, 5253, 543, 10684, 10029, 585, 519, 2126, 540, 993, 344, 582, 13116, 14694, 26379, 630, 28940, 264, 538, 2550, 18460, 6391, 585, 9823, 300, 269, 9282, 789, 1705, 711, 1265, 513, 1713, 3017, 538, 519, 3119, 6364, 1107, 12077, 1689, 538, 519, 9168, 5545, 13106, 30249, 14037, 5948, 630, 332, 297, 29151, 264, 4336, 693, 476, 277, 3275, 1310, 6391, 9236, 2550, 945, 4607, 678, 559, 15120, 1961, 543, 1346, 602, 1705, 711, 4534, 789, 1705, 1265, 513, 1713, 6454, 538, 2550, 685, 8405, 1928, 563, 21893, 568, 606, 1271, 1353, 607, 621, 2982, 602, 972, 616, 7755, 9417, 338, 547, 6391, 602, 949, 6961, 5363, 585, 713, 1271, 3461, 2551, 2437, 1767, 17124, 19869, 7232, 331, 5174, 1551, 267, 11022, 267, 12854, 267, 13930, 7548, 540, 5778, 338, 29864, 693, 16099, 269, 834, 5194, 7872, 568, 602, 891, 7755, 9417, 338, 949, 6961, 5363, 538, 1346, 2550, 945, 3112, 10929, 6391, 4799, 13731, 9372, 1744, 3530, 9445, 267, 11022, 267, 7548, 540, 5778, 338, 29864, 543, 8783, 540, 519, 1975, 710, 10406, 693, 16099, 267, 729, 3238, 538, 713, 960, 1247, 646, 729, 693, 519, 2160, 540, 9098, 269, 968, 4263, 16099, 267, 649, 786, 3136, 930, 540, 713, 1271, 1353, 540, 678, 559, 15120, 1961, 538, 1312, 15779, 543, 1875, 32034, 12636, 7063, 2223, 646, 1767, 563, 291, 8123, 568, 4867, 679, 13764, 2550, 538, 1896, 4791, 8062, 3168, 693, 678, 559, 15120, 1961, 543, 824, 5778, 23181, 633, 5061, 269, 16099, 11671, 338, 29864, 3173, 616, 849, 23712, 609, 6915, 19956, 619, 543, 5778, 27023, 1235, 538, 3384, 3209, 2553, 547, 1521, 11983, 10260, 7063, 538, 3662, 3631, 267, 6037, 1049, 2090, 267, 543, 4791, 2090, 269, 968, 2026, 513, 30856, 1382, 6280, 267, 649, 616, 1134, 26405, 547, 1118, 1713, 538, 30030, 883, 713, 1271, 2068, 11769, 799, 2360, 513, 1713, 1297, 540, 1004, 2223, 1767, 19869, 7232, 331, 5174, 1551, 563, 763, 1353, 729, 3370, 2228, 538, 634, 31102, 27096, 344, 267, 5412, 476, 2420, 267, 476, 1708, 271, 269, 0, 4785, 32112, 1683, 2298, 2038, 6689, 2069, 3292, 269, 4400, 569, 19486, 3318, 3610, 540, 519, 20380, 32112, 4001, 609, 1483, 8996, 2833, 538, 2069, 269, 1358, 4001, 519, 1482, 11826, 6437, 2228, 607, 789, 4001, 593, 13464, 269, 7216, 6689, 2228, 2069, 568, 5355, 609, 942, 998, 1114, 7317, 2409, 269, 30793, 2471, 946, 3381, 18101, 17182, 267, 2228, 2069, 2359, 1949, 899, 631, 22259, 267, 4563, 4580, 267, 543, 4787, 2967, 563, 2690, 4329, 7335, 281, 10396, 299, 12114, 631, 17129, 8991, 5442, 11581, 24102, 1107, 12601, 28475, 8025, 5058 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6523, 4153, 3847, 3287, 266, 273, 343, 9368, 9984, 280, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 9368, 9385, 327, 15640, 8607, 1299, 31386, 2765, 346, 272, 2410, 1321, 4153, 3847, 7268, 3667, 346, 6523, 4153, 3847, 3287, 9368, 9385, 3667, 346, 6523, 4153, 3847, 263, 273, 343, 9368, 9984, 315, 3667, 346, 7562, 4153, 3847, 3287, 9368, 9385, 3667, 346, 7562, 4153, 3847, 263, 273, 343, 9368, 9984, 280, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 9368, 9385, 327, 15640, 8607, 1299, 31386, 2765, 346, 272, 2410, 1321, 4153, 3847, 7268, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 13375, 263, 273, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 24828, 3667, 346, 6523, 3686, 3867, 273, 26507, 268, 272, 9368, 9984, 315, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 13375, 263, 273, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 9368, 9984, 280, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 9368, 9385, 327, 15640, 8607, 1299, 31386, 2765, 346, 272, 2410, 1321, 4153, 3847, 263, 273, 3189, 3667, 346, 6523, 3686, 17353, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 348, 343, 10559, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 268, 273, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 13375, 263, 272, 268, 3189, 3667, 346, 6523, 3686, 3867, 273, 26507, 9368, 9984, 280, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 9368, 9385, 327, 15640, 8607, 1299, 31386, 2765, 346, 272, 2410, 1321, 4153, 3847, 263, 275, 3189, 3667, 346, 6523, 3686, 17353, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 348, 343, 268, 1321, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 9368, 9385, 327, 15640, 8607, 1299, 31386, 2765, 346, 272, 2410, 274, 7346, 3667, 346, 6523, 3686, 17353, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 348, 343, 10559, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 26142, 327, 15640, 1422, 754, 15204, 10592, 13295, 267, 519, 1079, 1884, 3187, 643, 2510, 616, 9838, 780, 2171, 949, 849, 946, 513, 31909, 547, 5635, 519, 11708, 540, 519, 1079, 3252, 267, 607, 3254, 538, 519, 1739, 4137, 780, 8196, 513, 31909, 547, 6218, 4399, 842, 1422, 2765, 346, 11459, 7346, 6912, 13997, 343, 8703, 273, 15396, 275, 3686, 269, 6911, 303, 6372, 3435, 1331, 12276, 3667, 346, 7562, 327, 3686, 13064, 272, 4153, 3847, 7268, 2765, 12757, 2410, 273, 4153, 2431, 11924, 290, 259, 543, 4399, 3667, 346, 15238, 348, 24689, 6912, 13997, 343, 8703, 273, 15396, 275, 15396, 343, 347, 266, 290, 269, 6911, 1012, 6206, 2035, 692, 1892, 1323, 5610, 3349, 949, 581, 1031, 547, 6218, 22543, 9548, 29398, 563, 1892, 589, 31909, 630, 528, 2780, 7223, 1062, 264, 949, 581, 1031, 547, 6218, 22543, 9548, 29398, 563, 1892, 898, 949, 2154, 930, 4674, 547, 31363, 6697, 3435, 5833, 1210, 1114, 2409, 780, 8196, 513, 3349, 540, 29398, 547, 6218, 519, 1739, 29398, 780, 7445, 1495, 619, 564, 346, 271, 7346, 13569, 564, 346, 275, 7346, 842, 476, 14990, 2765, 12757, 7346, 6912, 346, 272, 266, 273, 343, 3686, 11459, 6911, 7445, 842, 1422, 2765, 12757, 266, 274, 2410, 346, 343, 8703, 273, 15396, 273, 343, 266, 273, 348, 11459, 6911, 7445, 2765, 346, 272, 2410, 273, 4153, 3667, 346, 15238, 348, 347, 346, 343, 8703, 273, 15396, 273, 343, 266, 273, 347, 266, 273, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 541, 551, 534, 4153, 3847, 3287, 266, 272, 9368, 11924, 290, 6911, 7445, 842, 2715, 343, 8703, 274, 4153, 6912, 346, 272, 266, 273, 12757, 8703, 273, 14990, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 11459, 6911, 7445, 842, 1422, 2765, 346, 272, 7346, 6912, 13997, 343, 8703, 273, 15396, 277, 343, 3686, 11459, 6911, 21851, 3667, 346, 6523, 327, 3686, 13064, 272, 4153, 3847, 7268, 2765, 12757, 266, 274, 2410, 274, 4153, 2431, 11924, 290, 6911, 7445, 842, 1422, 2765, 12757, 2410, 343, 266, 272, 348, 11459, 6911, 7445, 842, 1535, 6440, 346, 273, 8703, 346, 343, 8703, 273, 3686, 11459, 6911, 7445, 2765, 13997, 273, 8703, 346, 343, 8703, 273, 18511, 272, 24828, 3667, 346, 15238, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 273, 15396, 290, 6911, 7445, 842, 1422, 2765, 346, 272, 2410, 275, 12757, 8703, 273, 15396, 1839, 348, 11459, 6911, 7445, 842, 1422, 2765, 346, 11276, 7346, 6912, 346, 275, 268, 346, 344, 8703, 273, 3686, 10592, 7445, 3667, 346, 2117, 7562, 4153, 3847, 7268, 2765, 26635, 2410, 273, 4153, 2431, 11924, 290, 6911, 7445, 842, 11513, 3667, 346, 7562, 3686, 3867, 274, 4153, 3847, 263, 273, 343, 9368, 9385, 3667, 346, 6523, 4153, 3847, 263, 273, 343, 9368, 264, 11459, 6911, 7445, 842, 1422, 3667, 26231, 2675, 4153, 3847, 263, 273, 342, 9368, 9385, 3667, 346, 20799, 4153, 3847, 263, 273, 342, 9368, 264, 323, 342, 6911, 259, 10559, 2765, 346, 272, 2410, 273, 4153, 3667, 26231, 2675, 4153, 3847, 263, 273, 342, 9368, 11924, 290, 6911, 7445, 842, 2715, 273, 8703, 344, 348, 11276, 6911, 21851, 842, 7684, 3709, 271, 8703, 272, 4153, 2765, 346, 274, 343, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 11459, 7346, 6912, 13997, 343, 8703, 273, 15396, 279, 32556, 259, 280, 268, 277, 25490, 346, 273, 10592, 21851, 842, 7684, 3709, 268, 272, 20728, 346, 270, 348, 275, 8703, 272, 20728, 346, 270, 348, 275, 7346, 3667, 346, 5913, 3686, 3867, 273, 4153, 3847, 7268, 7032, 1535, 9368, 9385, 3667, 346, 11927, 4153, 3847, 7268, 7032, 1535, 9368, 264, 11459, 6911, 21851, 842, 7684, 3709, 271, 23685, 7032, 1422, 3667, 346, 270, 348, 273, 7346, 3667, 346, 11927, 3686, 3867, 273, 4153, 3847, 7268, 2765, 12757, 2410, 273, 4153, 2431, 264, 11459, 6911, 259, 273, 10559, 2765, 3189, 7032, 25452, 273, 10592, 7445, 842, 11513, 3667, 346, 6523, 3686, 3867, 274, 26507, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 11459, 6911, 7445, 842, 11513, 3667, 346, 11927, 3686, 3867, 276, 4153, 3847, 263, 274, 343, 9368, 264, 11459, 6911, 7445, 2765, 346, 272, 2410, 1321, 7346, 3667, 346, 11927, 3686, 3867, 275, 4153, 3847, 263, 274, 343, 9368, 9984, 315, 2765, 346, 272, 2410, 277, 7346, 3667, 346, 11927, 3686, 3867, 273, 4153, 3847, 263, 274, 343, 9368, 264, 10954, 2765, 346, 272, 2410, 274, 4153, 3667, 346, 15238, 348, 24689, 3667, 346, 5913, 4153, 3847, 263, 274, 343, 9368, 31206, 266, 290, 6911, 7445, 842, 11513, 3667, 346, 7562, 3686, 3867, 273, 348, 344, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 24828, 3667, 346, 6523, 3686, 3867, 274, 348, 344, 11276, 6911, 8196, 513, 31909, 547, 6218, 519, 1739, 29398, 269, 23959, 666, 849, 581, 1031, 547, 13182, 519, 4267, 780, 314, 307, 316, 4399, 842, 1422, 2765, 18097, 342, 2410, 272, 10954, 3667, 346, 5913, 4153, 3847, 7268, 2765, 346, 342, 2410, 273, 4153, 2431, 264, 10592, 259, 273, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 20799, 4153, 3847, 7268, 2765, 346, 342, 2410, 273, 4153, 2431, 9984, 273, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 26231, 2675, 4153, 3847, 7268, 2765, 346, 342, 2410, 273, 4153, 2431, 11924, 342, 266, 290, 6911, 314, 307, 316, 4399, 842, 1422, 2765, 18097, 342, 2410, 272, 10559, 3667, 346, 6523, 4153, 3847, 263, 278, 342, 9368, 264, 10592, 314, 307, 316, 12276, 842, 7684, 3709, 271, 8703, 339, 4153, 2765, 18097, 339, 2410, 275, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 339, 266, 274, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 339, 10592, 7445, 2765, 346, 272, 2410, 276, 4153, 3667, 346, 15238, 348, 24689, 2765, 346, 273, 13375, 263, 276, 266, 275, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 339, 268, 274, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 339, 9368, 20972, 275, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 339, 266, 274, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 339, 348, 347, 6911, 314, 307, 316, 4399, 842, 1422, 2765, 3189, 6912, 13997, 343, 8703, 273, 18511, 280, 12453, 274, 343, 348, 11459, 6911, 314, 307, 316, 4399, 842, 1422, 2765, 346, 11459, 2410, 346, 343, 8703, 272, 20728, 346, 270, 348, 273, 15396, 346, 343, 8703, 272, 20728, 346, 270, 348, 274, 32556, 259, 277, 12757, 8703, 272, 20728, 346, 270, 348, 277, 18511, 274, 12757, 8703, 272, 20728, 346, 270, 348, 274, 15396, 273, 25490, 12757, 18511, 277, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 15238, 4153, 3847, 314, 272, 266, 346, 343, 8703, 272, 20728, 346, 270, 348, 277, 4153, 2431, 27994, 290, 6911, 314, 307, 316, 4399, 842, 1422, 2765, 346, 11459, 2410, 343, 25490, 12757, 268, 272, 32556, 314, 307, 316, 4399, 842, 2715, 343, 8703, 274, 4153, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 11459, 6911, 7445, 3667, 346, 6629, 2410, 343, 8703, 274, 4153, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 266, 274, 12757, 8703, 273, 4153, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 266, 277, 343, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 6523, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 268, 277, 315, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 14990, 3667, 346, 7562, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 343, 266, 290, 6911, 314, 307, 316, 4399, 842, 1535, 25490, 13997, 343, 8703, 275, 18511, 280, 4153, 28783, 3189, 22364, 346, 271, 269, 272, 655, 2410, 271, 1410, 3686, 11459, 6911, 314, 307, 316, 4399, 842, 1422, 2765, 12757, 2410, 272, 266, 346, 324, 23685, 3667, 346, 6629, 2410, 343, 8703, 273, 3686, 348, 11459, 6911, 7445, 2765, 346, 272, 2410, 273, 4153 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 596, 723, 2907, 1044, 8655, 519, 4305, 547, 2328, 513, 2686, 3961, 1557, 267, 799, 568, 606, 1557, 602, 814, 547, 798, 513, 2603, 609, 707, 7209, 543, 2686, 4282, 269, 769, 9759, 267, 1603, 513, 2686, 3961, 1557, 568, 4909, 585, 3246, 519, 5467, 609, 606, 1620, 540, 945, 596, 616, 543, 799, 19773, 596, 723, 269, 901, 949, 1331, 519, 3584, 540, 4984, 267, 5389, 267, 14940, 267, 5198, 267, 543, 865, 593, 269, 1924, 267, 1018, 4927, 596, 798, 547, 17492, 513, 10888, 2686, 3961, 1557, 888, 24292, 14740, 7433, 281, 26479, 267, 17644, 1299, 11762, 454, 6524, 4358, 1055, 609, 513, 2686, 3961, 1557, 267, 621, 568, 4909, 547, 10625, 1018, 568, 1880, 827, 713, 1826, 540, 1957, 269, 3689, 543, 19466, 267, 621, 786, 581, 2864, 9266, 547, 2253, 609, 4758, 513, 2489, 543, 3551, 4214, 540, 513, 2686, 3961, 1557, 269, 769, 1089, 523, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 9358, 7582, 22723, 13493, 1315, 4317, 3163, 1315, 4937, 1315, 5915, 2762, 543, 15510, 5525, 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, 3848, 476, 280, 281, 5853, 1049, 10341, 585, 6481, 13478, 17790, 16711, 281, 22716, 529, 593, 715, 26798, 8081, 543, 10657, 692, 296, 269, 4985, 454, 288, 269, 634, 1909, 540, 6484, 1489, 543, 3797, 538, 2564, 4882, 17790, 8808, 454, 289, 269, 11957, 540, 3384, 2178, 13654, 8808, 1983, 454, 290, 269, 11137, 540, 519, 3184, 781, 9115, 692, 2862, 269, 966, 1388, 20050, 20970, 543, 28604, 454, 288, 269, 10552, 16242, 630, 21990, 264, 20970, 454, 272, 269, 16811, 2877, 454, 273, 269, 26488, 585, 7893, 22680, 16924, 543, 6475, 1227, 454, 274, 269, 11790, 7133, 6111, 540, 13220, 454, 275, 269, 2806, 7538, 4681, 543, 3617, 7459, 454, 289, 269, 9839, 15580, 630, 16281, 264, 20970, 454, 272, 269, 10613, 585, 13844, 15679, 630, 777, 673, 5288, 24293, 13942, 1293, 994, 273, 269, 16453, 2039, 543, 2188, 18363, 15679, 454, 274, 269, 11916, 6286, 540, 9402, 15679, 2418, 454, 290, 269, 28614, 15580, 630, 305, 305, 264, 20970, 454, 272, 269, 9828, 585, 4977, 681, 305, 10203, 454, 273, 269, 8177, 540, 2990, 2242, 267, 1928, 267, 4160, 267, 543, 8611, 593, 681, 305, 454, 291, 269, 18323, 10495, 454, 272, 269, 9537, 540, 5687, 18852, 543, 11507, 1031, 585, 6482, 454, 273, 269, 17327, 267, 4949, 16736, 267, 1119, 332, 13732, 9245, 267, 6439, 531, 267, 13796, 16050, 267, 543, 1965, 23569, 7403, 454, 274, 269, 4197, 3339, 9832, 543, 4791, 4644, 540, 24017, 454, 292, 269, 23889, 28454, 883, 18043, 21111, 16214, 454, 272, 269, 17291, 3270, 2066, 4105, 1129, 3334, 454, 273, 269, 20876, 2038, 9963, 4191, 585, 1761, 8374, 692, 7656, 269, 654, 895, 5004, 454, 288, 269, 14362, 540, 654, 895, 23046, 454, 272, 269, 1912, 1162, 540, 7067, 1184, 454, 273, 269, 8426, 983, 6127, 3238, 538, 5160, 7816, 454, 289, 269, 5871, 9537, 540, 654, 2432, 454, 272, 269, 26590, 8957, 5312, 16398, 454, 273, 269, 700, 27468, 725, 267, 1651, 2888, 267, 14047, 999, 267, 705, 6652, 687, 267, 543, 733, 16272, 454, 274, 269, 31293, 543, 8143, 7063, 454, 275, 269, 21853, 1356, 894, 15087, 630, 12304, 675, 267, 27625, 588, 12118, 267, 15847, 3723, 994, 290, 269, 654, 895, 27686, 543, 1546, 1962, 728, 618, 454, 272, 269, 31203, 540, 683, 23145, 6776, 5160, 543, 4914, 2326, 454, 273, 269, 28238, 850, 4480, 9270, 454, 291, 269, 667, 7675, 19139, 543, 13335, 454, 272, 269, 19805, 10571, 902, 1759, 593, 1826, 543, 3942, 540, 10138, 454, 273, 269, 30785, 3498, 543, 8851, 2409, 454, 292, 269, 10266, 5004, 11150, 454, 272, 269, 6348, 874, 29108, 11043, 4485, 630, 6570, 532, 267, 11005, 267, 30411, 994, 273, 269, 5440, 673, 8069, 543, 11528, 1387, 2471, 923, 454, 293, 269, 11657, 566, 543, 9442, 540, 4273, 1833, 454, 272, 269, 31524, 7067, 3356, 1210, 13387, 2645, 454, 273, 269, 11622, 908, 609, 3782, 2319, 3823, 1544, 540, 1416, 11941, 692, 4353, 269, 15822, 10029, 540, 5709, 725, 454, 288, 269, 26386, 540, 10684, 24822, 7010, 454, 272, 269, 9373, 531, 8905, 3681, 630, 7394, 267, 13439, 690, 770, 878, 8546, 267, 829, 12827, 10389, 1439, 25646, 12884, 560, 3912, 994, 273, 269, 623, 13873, 614, 531, 6765, 1949, 630, 842, 571, 27281, 267, 1016, 12827, 10389, 267, 703, 1090, 31100, 994, 289, 269, 29626, 22043, 667, 4680, 454, 272, 269, 4635, 1106, 27909, 543, 7503, 7515, 454, 273, 269, 10610, 2597, 2861, 13121, 1137, 543, 2085, 10391, 12381, 454, 290, 269, 27759, 543, 1520, 2381, 3563, 532, 5709, 725, 454, 272, 269, 589, 572, 10364, 4480, 1282, 11544, 543, 7829, 454, 273, 269, 23496, 17356, 950, 9256, 2789, 5061, 454, 274, 269, 16424, 13297, 4609, 585, 8801, 6547, 454, 291, 269, 18601, 15783, 8210, 5558, 543, 12694, 454, 272, 269, 17677, 10992, 9753, 1996, 3075, 10297, 543, 2550, 262, 8446, 21015, 27512, 454, 273, 269, 22034, 2029, 3435, 899, 536, 2117, 1712, 17655, 543, 5907, 1095, 21564, 454, 274, 269, 27561, 2282, 4413, 525, 543, 4890, 6959, 2687, 547, 12250, 4507, 692, 309, 269, 18043, 21111, 10495, 454, 288, 269, 18430, 532, 8447, 1401, 3133, 725, 454, 272, 269, 6184, 18936, 267, 27621, 566, 267, 513, 19895, 738, 566, 267, 25576, 15664, 267, 543, 2027, 4255, 454, 273, 269, 3590, 5597, 10442, 1560, 4525, 543, 1418, 1949, 454, 289, 269, 5623, 532, 6481, 3778, 454, 272, 269, 11814, 532, 1344, 998, 11042, 543, 1920, 5359, 454, 273, 269, 22718, 1239, 547, 2697, 1981, 2188, 543, 32435, 885, 454, 290, 269, 15043, 10572, 1242, 5516, 12697, 454, 272, 269, 4813, 6819, 2963, 2861, 4566, 5466, 4857, 2115, 454, 273, 269, 26451, 6604, 2994, 13389, 1110, 16666, 4220, 692, 9654, 269, 25124, 6513, 13756, 454, 288, 269, 7435, 30719, 454, 272, 269, 1473, 10716, 585, 11067, 543, 24846, 1944, 454, 273, 269, 9208, 1242, 5773, 585, 1697, 11056, 454, 289, 269, 1772, 15684, 2776, 8619, 1903, 454, 272, 269, 28298, 2861, 3800, 585, 5627, 3262, 454, 273, 269, 9608, 8825, 3937, 946, 4808, 454, 290, 269, 28238, 16478, 543, 2598, 26529, 16257, 338, 454, 272, 269, 10318, 1456, 2157, 540, 632, 4186, 8727, 2838, 676, 6293, 2010, 454, 273, 269, 20074, 1655, 2853, 585, 4509, 27194, 4441, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 301, 2720, 532, 7690, 6997, 454, 301, 2720, 532, 5748, 2978, 1683, 3946, 6823, 2866, 543, 4052, 1995, 547, 8808, 1053, 547, 1020, 741, 13654, 8808, 1983, 269, 1280, 799, 649, 723, 1134, 9280, 2978, 609, 476, 1015, 15135, 269, 2368, 540, 519, 1455, 1983, 6026, 538, 513, 8808, 5748, 2978, 1331, 912, 268, 966, 1388, 4191, 6482, 281, 4841, 1451, 547, 2268, 543, 4612, 4105, 4191, 971, 607, 1973, 2604, 267, 2295, 2557, 267, 7929, 2557, 267, 543, 2837, 563, 268, 9978, 10138, 1416, 281, 4841, 1451, 547, 2708, 543, 1416, 585, 1455, 16398, 267, 971, 607, 22725, 518, 725, 267, 17236, 267, 543, 2604, 21385, 563, 268, 2405, 1709, 7245, 281, 4841, 1451, 875, 547, 9108, 17982, 6527, 267, 1519, 5711, 6527, 267, 24409, 267, 543, 10001, 6527, 563, 268, 21111, 4879, 281, 4841, 1451, 875, 547, 2932, 513, 3102, 3461, 4879, 267, 1519, 513, 2168, 981, 543, 513, 2689, 540, 2564, 1686, 563, 268, 25124, 1852, 281, 4841, 1451, 827, 3968, 1852, 3741, 267, 1519, 1688, 9882, 267, 10072, 15416, 267, 543, 10322, 16478, 2553, 563, 268, 9978, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 19075, 1315, 16711, 1315, 5516, 12697, 1315, 12594, 8081, 543, 10657, 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, 476, 273, 269, 274, 17564, 540, 3194, 10613, 543, 9828, 692, 1103, 713, 3296, 267, 649, 786, 5490, 883, 519, 6491, 1399, 27497, 1399, 540, 1979, 2684, 12695, 1382, 676, 7234, 1585, 2409, 543, 2553, 1031, 676, 3173, 538, 519, 2361, 269, 1284, 786, 2263, 1312, 3964, 543, 5969, 12967, 4485, 267, 10223, 741, 9342, 543, 7687, 269, 3414, 9691, 7421, 2487, 1382, 4681, 543, 5571, 9840, 267, 649, 2832, 547, 1683, 513, 13857, 1620, 540, 875, 1979, 19398, 27913, 8495, 519, 1158, 1472, 721, 780, 273, 269, 274, 269, 272, 17266, 631, 1961, 9908, 10414, 15190, 18122, 630, 15551, 12396, 2020, 306, 17532, 11140, 3196, 21655, 630, 15551, 12396, 264, 814, 7153, 607, 513, 3532, 1907, 585, 7893, 7344, 3601, 540, 1367, 6211, 5672, 668, 26163, 971, 607, 5027, 267, 5946, 267, 543, 20188, 21536, 16558, 269, 1635, 1140, 2286, 835, 1439, 540, 513, 2582, 11140, 547, 513, 2627, 543, 519, 824, 1439, 547, 513, 9145, 1446, 610, 23282, 7051, 18085, 850, 591, 267, 4229, 666, 581, 4294, 543, 6027, 693, 519, 2582, 11140, 1377, 269, 901, 4480, 2488, 4030, 883, 7636, 2623, 896, 8795, 13907, 543, 6087, 1463, 8343, 540, 14883, 1049, 2242, 267, 24208, 270, 684, 325, 13783, 13289, 267, 543, 11006, 4205, 269, 15382, 12396, 6901, 3335, 4125, 1210, 606, 10570, 3196, 17209, 630, 28425, 300, 1070, 9804, 17408, 14162, 619, 267, 610, 6419, 17408, 14162, 619, 547, 4019, 6417, 4229, 547, 519, 3732, 780, 28425, 300, 2861, 15382, 12396, 13333, 676, 678, 2120, 532, 513, 8325, 9133, 936, 513, 3732, 2627, 1247, 5464, 1219, 3005, 540, 513, 8465, 18085, 850, 591, 11237, 269, 1879, 519, 9133, 13341, 513, 11140, 540, 1719, 267, 621, 25907, 543, 27605, 267, 3850, 6482, 540, 5872, 4229, 1063, 519, 9133, 543, 519, 11140, 269, 19200, 300, 3091, 1164, 8901, 6571, 855, 23119, 689, 5266, 3500, 1239, 11601, 3928, 1813, 547, 922, 17626, 2470, 780, 18893, 673, 17408, 14162, 619, 15972, 30526, 5536, 1210, 5059, 8955, 20832, 267, 2870, 513, 13506, 3196, 602, 6585, 873, 538, 1747, 269, 1635, 3001, 519, 2990, 540, 519, 8955, 1445, 267, 16290, 5536, 1995, 513, 19620, 3196, 14354, 547, 741, 12761, 269, 4635, 12242, 20637, 2636, 12879, 543, 6482, 540, 4229, 25116, 593, 1367, 6675, 512, 9220, 1042, 1063, 1079, 19273, 269, 30677, 17408, 14162, 619, 2709, 5140, 13796, 6571, 543, 8856, 855, 949, 7985, 689, 2584, 617, 600, 720, 2360, 3361, 676, 12675, 4598, 547, 7920, 1769, 780, 300, 8568, 17408, 14162, 619, 8415, 2706, 12407, 8568, 19273, 16271, 547, 513, 15914, 6419, 2361, 6383, 676, 8628, 22197, 610, 13590, 27810, 269, 634, 4611, 18165, 28901, 10047, 540, 519, 29950, 267, 799, 18922, 547, 15198, 610, 6335, 532, 540, 7923, 6675, 269, 25080, 17408, 14162, 619, 5512, 5730, 1852, 936, 3196, 3498, 543, 1450, 21800, 7403, 540, 10137, 543, 10066, 267, 3246, 3407, 1344, 827, 7636, 2497, 543, 11707, 269, 1717, 267, 789, 3622, 7500, 693, 2539, 4229, 3379, 547, 19200, 300, 543, 9804, 17408, 14162, 619, 780, 8601, 891, 3604, 267, 782, 1614, 2553, 2671, 1455, 5383, 267, 1519, 519, 2702, 547, 16785, 1950, 1949, 896, 2282, 14428, 903, 8344, 2175, 267, 22945, 954, 332, 12817, 4205, 267, 543, 7866, 5892, 796, 520, 1555, 762, 3877, 3823, 7636, 6127, 269, 31379, 8044, 602, 15382, 12396, 12346, 8185, 593, 10054, 1644, 547, 3095, 518, 20765, 267, 1761, 5251, 3631, 267, 543, 8097, 19383, 267, 5732, 10962, 13742, 543, 12145, 10063, 322, 2225, 2066, 20682, 269, 744, 32054, 3646, 547, 13217, 16097, 543, 1020, 811, 10427, 7811, 10850, 3136, 547, 2232, 891, 2591, 780, 7078, 281, 10765, 960, 9001, 15382, 12396, 7000, 602, 1978, 3940, 11890, 8858, 6952 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1677, 3035, 891, 3853, 267, 13609, 9709, 547, 28117, 8109, 3864, 2477, 899, 12996, 267, 6576, 267, 543, 12907, 780, 3719, 1018, 827, 519, 1004, 2907, 2713, 538, 1346, 3338, 286, 19759, 569, 267, 1082, 4436, 8387, 1705, 711, 1416, 269, 1358, 941, 8348, 547, 4894, 4896, 7555, 538, 741, 1259, 267, 1519, 6634, 540, 17608, 2367, 267, 2021, 267, 543, 1453, 269, 1306, 513, 1267, 267, 2274, 321, 839, 571, 636, 8507, 538, 9118, 7972, 543, 7092, 1851, 1585, 6803, 2516, 23493, 1369, 519, 6098, 4525, 780, 2467, 616, 1869, 9840, 2221, 3823, 875, 3978, 4436, 3401, 941, 827, 7598, 2274, 321, 839, 571, 636, 543, 2436, 1808, 9753, 5963, 11478, 269, 2368, 12206, 8044, 602, 2963, 5885, 3665, 6811, 7153, 1152, 1310, 2622, 2782, 4083, 267, 799, 12651, 2055, 827, 741, 13597, 269, 11048, 267, 835, 3364, 3788, 2312, 910, 2274, 321, 839, 571, 636, 2968, 513, 6117, 3196, 3297, 519, 10728, 7269, 626, 4507, 22002, 676, 13303, 5125, 780, 2005, 781, 1271, 547, 3314, 602, 1247, 2274, 321, 839, 571, 636, 1522, 3280, 13267, 693, 1101, 16145, 267, 2523, 950, 4843, 1210, 2241, 2474, 899, 17596, 811, 834, 11898, 2437, 621, 3366, 547, 14042, 4539, 1813, 547, 31250, 1379, 543, 23304, 731, 585, 1480, 2924, 269, 4653, 267, 649, 5431, 519, 1871, 540, 4763, 267, 9316, 267, 543, 2463, 585, 1866, 262, 16285, 267, 1818, 2386, 1100, 2582, 1895, 3217, 1852, 936, 1776, 781, 1753, 780, 1103, 3932, 267, 2274, 321, 839, 571, 636, 4564, 513, 3140, 1523, 1141, 513, 4182, 8179, 547, 4228, 922, 10665, 585, 2797, 2744, 543, 4199, 11601, 269, 1717, 267, 713, 13287, 1419, 15763, 4540, 5095, 543, 3361, 1713, 2800, 269, 1635, 1620, 2274, 321, 839, 571, 636, 267, 649, 1451, 3407, 4245, 827, 3743, 5718, 267, 6568, 2509, 1866, 267, 543, 519, 2956, 540, 12560, 30398, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8867, 321, 839, 571, 636, 568, 513, 4436, 2262, 2495, 834, 331, 1516, 2230, 257, 543, 609, 29653, 2495, 563, 268, 476, 272, 7971, 1227, 2953, 6609, 454, 268, 476, 273, 31280, 1143, 454, 268, 476, 273, 269, 272, 12745, 454, 268, 476, 273, 269, 273, 2725, 514, 918, 2086, 325, 454, 268, 476, 273, 269, 274, 7348, 540, 16586, 538, 2489, 454, 268, 476, 273, 269, 275, 28787, 539, 2817, 31012, 6054, 834, 29171, 2642, 257, 1310, 2622, 2782, 4083, 454, 268, 476, 273, 269, 276, 14803, 4240, 15324, 2112, 1996, 519, 8168, 5742, 454, 268, 476, 273, 269, 277, 834, 19177, 10117, 17963, 602, 590, 8491, 519, 2622, 4840, 268, 476, 273, 269, 278, 23237, 781, 10555, 2782, 454, 268, 476, 273, 269, 279, 834, 14197, 17839, 744, 560, 4840, 268, 476, 273, 269, 280, 7136, 27781, 454, 268, 476, 273, 269, 1015, 9615, 540, 31266, 338, 454, 268, 476, 273, 269, 1556, 661, 5341, 13153, 1629, 29732, 19053, 25279, 9749, 7288, 454, 268, 476, 273, 269, 1321, 28787, 539, 2527, 6146, 902, 540, 2717, 525, 454, 268, 476, 273, 269, 1724, 1325, 548, 3022, 670, 9404, 2401, 1931, 547, 608, 32558, 622, 782, 2717, 525, 454, 268, 476, 273, 269, 1691, 12866, 2929, 7166, 1875, 11219, 31974, 3409, 454, 268, 476, 274, 834, 8867, 321, 839, 571, 636, 257, 4507, 676, 519, 20466, 7060, 543, 5840, 454, 268, 476, 275, 834, 8867, 321, 839, 571, 636, 257, 543, 2413, 605, 268, 19669, 3906, 454, 268, 476, 276, 24498, 6402, 454, 268, 476, 277, 22108, 454, 303, 7035, 1227, 2953, 6609, 454, 8867, 321, 839, 571, 636, 538, 20833, 2953, 11673, 4016, 547, 519, 8513, 20948, 676, 513, 1880, 1895, 269, 2859, 4481, 267, 621, 568, 849, 11130, 547, 3277, 547, 513, 3804, 540, 2817, 31012, 5125, 540, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 6153, 26291, 267, 28597, 267, 543, 10866, 5004, 7010, 910, 10289, 18869, 476, 12010, 271, 11621, 692, 1103, 2221, 781, 1870, 5251, 267, 3906, 7048, 8185, 593, 6176, 9442, 5303, 630, 2975, 307, 264, 585, 741, 4238, 269, 31478, 543, 2500, 13345, 540, 2883, 543, 1480, 2200, 267, 15984, 547, 3656, 543, 9431, 13800, 267, 543, 3743, 2359, 540, 23559, 29932, 23559, 10350, 1765, 732, 1898, 2609, 540, 3280, 9746, 10350, 269, 901, 1576, 1770, 12538, 883, 891, 3584, 1247, 10771, 2298, 1852, 4441, 971, 607, 18869, 476, 12010, 271, 269, 1284, 786, 2263, 875, 4213, 2327, 1164, 7779, 3157, 998, 1134, 27059, 1949, 267, 4543, 873, 2743, 6075, 6788, 543, 2226, 1279, 3856, 1967, 780, 8139, 23654, 26291, 543, 922, 11957, 454, 32458, 7042, 290, 2734, 622, 10350, 4016, 547, 513, 1062, 540, 3652, 267, 2853, 267, 543, 3157, 676, 799, 513, 2754, 568, 9859, 543, 6417, 269, 898, 3322, 13326, 12721, 4690, 1851, 1585, 8639, 267, 1519, 23265, 267, 4604, 2818, 267, 26933, 267, 5520, 267, 543, 22124, 269, 13229, 9746, 10350, 5849, 11413, 267, 12477, 267, 14619, 267, 543, 5539, 2066, 1169, 2460, 540, 10721, 3375, 6194, 543, 2932, 269, 769, 713, 2796, 267, 1577, 721, 4983, 930, 8037, 2665, 540, 4057, 9746, 10350, 3056, 547, 1713, 4539, 1384, 265, 2878, 9172, 9116, 267, 31254, 295, 267, 1262, 543, 2878, 3080, 307, 601, 5093, 1452, 8241, 3549, 5185, 4049, 16839, 1813, 547, 25314, 534, 1771, 267, 30081, 2238, 267, 543, 13385, 4835, 8060, 269, 4256, 31774, 16094, 12936, 3875, 8639, 267, 20872, 2799, 1445, 593, 14304, 9746, 10350, 3741, 563, 265, 2878, 13328, 4467, 1262, 543, 2878, 5319, 1258, 5093, 5637, 1977, 23766, 941, 2377, 549, 6150, 538, 7372, 8051, 23215, 1023, 5473, 1283, 7400, 2359, 269, 9523, 14516, 5763, 729, 1232, 13846, 267, 5215, 4503, 6009, 267, 543, 1857, 3972, 538, 14078, 20034, 5471, 539, 780, 2026, 2938, 1657, 267, 4617, 9746, 10350, 13514, 8101, 4220, 547, 1022, 3919, 282, 4061, 267, 9591, 7347, 3889, 267, 4507, 267, 543, 5773, 3587, 2629, 780, 7072, 547, 23559, 26291, 454, 10900, 19567, 22033, 2792, 2029, 4249, 513, 11358, 1909, 538, 2413, 16904, 269, 4706, 7580, 12972, 267, 1981, 2359, 267, 4199, 11938, 267, 2773, 6482, 267, 543, 1871, 6765, 2154, 6297, 4058, 543, 23388, 269, 9182, 267, 23559, 10350, 7153, 607, 513, 7463, 1858, 1369, 6626, 9746, 10350, 10850, 269, 20871, 1590, 3715, 2312, 5107, 267, 9021, 267, 543, 8989, 3515, 1063, 1870, 3401, 543, 8668, 10986, 547, 2327, 22122, 543, 3035, 5551, 4093, 780, 2162, 667, 14280, 540, 5516, 3823, 23559, 26402, 692, 16391, 3074, 1419, 26777, 519, 2956, 540, 16706, 1697, 31806, 950, 7598, 543, 5883, 23559, 3435, 269, 10598, 22162, 14590, 1655, 2853, 267, 1239, 4027, 6042, 267, 610, 3301, 24416, 11650, 27875, 10909, 547, 10512, 267, 8088, 1049, 267, 543, 3656, 6937, 269, 1635, 8508, 513, 2528, 540, 28858, 543, 605, 13808, 267, 789, 666, 7413, 1761, 2800, 2404, 609, 23559, 6165, 780, 15253, 6160, 800, 8111, 2335, 6672, 28081, 906, 543, 20971, 20480, 454, 5785, 5785, 14945, 15253, 6160, 800, 2706, 2335, 6672, 14565, 23626, 12820, 547, 3565, 513, 6712, 540, 5520, 262, 13848, 2509, 16468, 9806, 269, 1306, 513, 1267, 267, 6634, 540, 26880, 18549, 1902, 538, 13632, 267, 7554, 267, 543, 824, 7221, 3842, 7307, 7482, 269, 4475, 267, 4509, 2178, 9746, 10350, 2853, 17648, 3773, 4644, 2094, 1016, 9953, 2711, 2773, 610, 5821, 693, 1367, 3549, 1223, 11874, 3310, 1082, 5667, 639, 1051, 532, 13649, 525, 262, 9566, 5798, 780, 26660, 5004, 7010, 543, 18869, 476, 12010, 271, 11621, 454, 14343, 15365, 3041, 302, 476, 12010, 271, 1920, 540, 4441, 2488, 5583, 543, 2645, 585, 3906, 5275, 6024, 6454, 538, 1587, 610, 3028, 2298, 269, 22685, 1154, 891, 3741, 6087, 4213, 547, 5447, 741, 4238, 609, 3486, 1655, 2853, 1247, 5870, 6075, 2115, 811, 3927, 269, 6206, 3334, 540, 18869, 476, 12010, 271, 1331, 1384, 265, 2878, 26660, 3609, 4995, 589, 6101, 3948, 10747, 606, 3919, 781, 7029, 547, 2298, 267, 31045, 676, 9972, 5718, 563, 265, 2878, 26660, 6859, 4995, 16930, 3853, 6322, 693, 7393, 2949, 2773, 538, 2127, 899, 4398, 267, 7145, 267, 543, 10727, 563, 265, 2878, 26660, 8261, 4995, 11657, 566, 24152, 606, 3919, 781, 2298, 2359, 1062, 630, 304, 5960, 1070, 3246, 3877, 827, 9165, 267, 3157, 267, 543, 9021, 563, 265, 2878, 4910, 1830, 2359, 4995, 17291, 267, 16565, 267, 2866, 267, 3384, 267, 543, 20808, 19579, 5234, 2838, 547, 5838, 2298, 2472, 610, 2533, 9846, 563, 265, 2878, 31088, 1935, 4995, 4197, 954, 22366, 2238, 7700, 547, 1627, 5960, 17016, 267, 7175, 9836, 2079, 543, 6454, 3646, 563, 265, 2878, 16676, 6681, 6454, 4995, 8617, 6268, 540, 1627, 5960, 2773, 1996, 3964, 7355, 267, 6117, 5571, 3986, 906, 543, 9542, 547, 4657, 6381, 780, 3528, 10128, 18869, 476, 12010, 271, 3741, 883, 9746, 10350, 2994, 267, 3906, 6542, 741, 11428, 547, 30176, 1164, 4441, 267, 5807, 3972, 1851, 1883, 23466, 267, 543, 4180, 4264, 2208, 780, 6962, 454, 29603, 14187, 9746, 10350, 13315, 1312, 2489, 3741, 543, 7463, 3344, 267, 971, 607, 23559, 10350, 269, 20074, 7347, 2298, 2359, 1949, 1759, 593, 18869, 476, 12010, 271, 4441, 2337, 4213, 2226, 11007, 267, 2087, 2773, 267, 543, 6536, 1279, 3856, 3347, 609, 8639, 269, 3414, 15398, 4656, 540, 891, 2152, 543, 4052, 3498, 540, 4143, 1702, 267, 1053, 666, 1118, 6209, 7418, 547, 2104, 18129, 538, 3309, 6080, 543, 5468, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 946, 540, 23559, 568, 1631, 2565, 547, 1034, 14540, 269, 634, 3608, 543, 2500, 946, 540, 606, 13539, 781, 2883, 543, 1480, 2200, 543, 10220, 609, 3656, 543, 9431, 4170, 616, 3844, 547, 1434, 9746, 10350, 269, 634, 1259, 23559, 568, 1031, 267, 602, 568, 519, 10350, 540, 23559, 814, 849, 1831, 513, 2565, 851, 540, 1434, 10350, 269, 1717, 267, 519, 946, 543, 6069, 946, 540, 23559, 568, 711, 2141, 11063, 539, 606, 3617, 10279, 540, 1416, 563, 763, 6727, 1719, 538, 1434, 10350, 540, 14540, 666, 581, 11911, 547, 519, 12900, 540, 5775, 9116, 267, 31254, 295, 543, 2290, 307, 601, 538, 5245, 543, 519, 15055, 540, 2622, 1260, 543, 2037, 1258, 538, 519, 2475, 267, 799, 10483, 519, 27757, 540, 519, 12297, 2593, 6006, 2344, 19389, 538, 476, 1220, 271, 563, 4322, 1804, 4336, 9746, 14286, 1860, 5520, 267, 14273, 267, 5561, 543, 6006, 25963, 269, 2755, 538, 4505, 2053, 267, 6006, 25963, 949, 723, 1044, 1463, 9520, 538, 519, 2344, 267, 25471, 2706, 2335, 6672, 12417, 723, 5921, 602, 1269, 272, 269, 273, 13700, 11669, 10362, 547, 3592, 782, 519, 2324, 543, 19622, 2551, 568, 1631, 16539, 18222, 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, 10866, 6513, 1315, 18869, 476, 12010, 271, 11621, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 704, 5662, 540, 960, 269, 589, 5276, 3830, 602, 20475, 519, 2698, 2179, 540, 2724, 5345, 534, 1274, 985, 829, 3643, 568, 1109, 344, 284, 4649, 266, 1789, 343, 8796, 907, 1548, 616, 519, 4830, 543, 8200, 4632, 286, 1548, 568, 519, 1109, 344, 25435, 543, 519, 9386, 888, 1321, 269, 4635, 513, 9498, 610, 8579, 3301, 267, 1265, 519, 5276, 9695, 1899, 585, 519, 1239, 538, 519, 3349, 2630, 269, 8796, 269, 9373, 707, 2626, 538, 519, 1106, 1109, 344, 284, 332, 343, 17070, 267, 609, 1109, 332, 663, 1109, 6277, 1054, 17031, 547, 1079, 8918, 4025, 563, 1724, 269, 4635, 513, 9498, 610, 8579, 3301, 267, 1265, 519, 5276, 9695, 1899, 585, 519, 1239, 538, 519, 3349, 2630, 269, 8796, 269, 9373, 707, 2626, 538, 519, 1106, 1109, 344, 284, 332, 343, 17070, 267, 609, 1109, 332, 663, 1109, 6277, 1054, 17031, 547, 1079, 8918, 4025, 563, 1691, 269, 589, 2547, 10945, 9695, 1899, 630, 12895, 1922, 527, 1899, 264, 814, 519, 3830, 267, 1109, 344, 24994, 284, 273, 269, 9262, 343, 6629, 6246, 269, 276, 269, 1548, 568, 519, 1109, 16435, 2100, 1109, 1993, 713, 5276, 9695, 3830, 888, 1428, 269, 12824, 1616, 547, 1265, 519, 2078, 1063, 2085, 543, 3328, 2597, 538, 4775, 1453, 269, 4635, 1109, 320, 9498, 610, 2560, 8579, 3301, 267, 1265, 519, 5276, 9695, 1899, 585, 519, 476, 1001, 273, 15509, 1239, 2630, 585, 3328, 12035, 540, 4775, 1453, 676, 2085, 563, 1626, 269, 9717, 602, 1109, 333, 284, 4029, 11907, 2798, 616, 6394, 950, 4974, 519, 2078, 1063, 3328, 3232, 2837, 543, 942, 6170, 12008, 267, 946, 519, 2565, 2418, 3349, 2630, 547, 3313, 952, 513, 2560, 7229, 1871, 540, 1109, 337, 284, 6629, 271, 269, 27844, 529, 1713, 610, 711, 563, 1704, 269, 769, 4974, 519, 2078, 1063, 2085, 543, 4189, 3728, 1426, 267, 15475, 596, 17223, 1109, 337, 284, 271, 269, 15836, 6748, 1109, 333, 284, 866, 11907, 2798, 269, 4635, 519, 2565, 2418, 3349, 2630, 267, 3313, 952, 519, 1871, 540, 1109, 337, 28812, 1713, 610, 711, 563, 1240, 269, 4578, 568, 6394, 593, 519, 2078, 1063, 519, 942, 6170, 3257, 6780, 829, 1554, 543, 519, 942, 2560, 6170, 2921, 4967, 829, 1554, 269, 634, 1239, 568, 3254, 538, 519, 3349, 543, 519, 1899, 540, 1655, 3514, 585, 519, 1239, 568, 1109, 344, 24994, 284, 271, 269, 11260, 343, 266, 4029, 269, 271, 269, 1109, 10112, 2541, 519, 1899, 540, 1655, 3514, 568, 1713, 543, 972, 568, 513, 2178, 5276, 2078, 1063, 519, 4632, 8796, 907, 630, 320, 264, 4340, 547, 519, 1899, 540, 1655, 3514, 267, 1018, 1131, 581, 519, 10567, 1297, 540, 3764, 6170, 2921, 4967, 1109, 1721, 2576, 945, 6170, 1109, 15389, 2381, 2373, 3257, 6780, 286, 18471, 707, 2626, 547, 2507, 1109, 1109, 18314, 8918, 4025, 267, 607, 2877, 563, 866, 269, 18466, 548, 568, 4974, 519, 2078, 1063, 519, 3108, 5249, 630, 704, 3018, 264, 543, 942, 6170, 2542, 630, 704, 1554, 264, 543, 814, 6394, 519, 1239, 3254, 538, 519, 3349, 269, 634, 1899, 540, 1655, 3514, 585, 519, 1239, 568, 1109, 344, 24994, 284, 6629, 271, 269, 8064, 343, 266, 7176, 269, 279, 269, 27539, 519, 1899, 540, 1655, 3514, 568, 1713, 543, 972, 568, 513, 2178, 5276, 2078, 1063, 519, 4632, 2507, 907, 25980, 1109, 13480, 539, 1109, 263, 704, 1109, 15553, 264, 1109, 19054, 30588, 2568, 1109, 14737, 2373, 1109, 20091, 1109, 263, 704, 1109, 1485, 264, 1109, 4037, 277, 5952, 279, 7367, 8796, 269, 630, 320, 264, 4340, 547, 519, 1899, 540, 1655, 3514, 267, 1018, 2560, 1131, 581, 519, 10567, 1297, 540, 3764, 6170, 2542, 585, 513, 1268, 945, 1568, 1109, 2767, 327, 2293, 630, 704, 3018, 21663, 1109, 305, 895, 707, 2626, 547, 1079, 8918, 4025, 267, 607, 2877, 563, 736, 269, 18466, 548, 568, 4974, 519, 2078, 1063, 519, 3108, 5249, 630, 704, 3018, 264, 543, 942, 6170, 2542, 630, 704, 1554, 264, 543, 814, 6394, 519, 1239, 3254, 538, 519, 3349, 269, 634, 1899, 540, 1655, 3514, 585, 519, 1239, 568, 1109, 344, 24994, 284, 6629, 271, 269, 8064, 343, 266, 7176, 269, 279, 8796, 269, 25980, 1109, 13480, 539, 1109, 263, 704, 1109, 15553, 264, 1109, 19054, 30588, 2568, 1109, 14737, 2373, 1109, 20091, 1109, 263, 704, 1109, 1485, 264, 1109, 4037, 277, 5952, 279, 7367, 8796, 269, 630, 320, 264, 4340, 547, 519, 1899, 540, 1655, 3514, 267, 519, 1109, 335, 9438, 539, 1297, 540, 3764, 6170, 2542, 585, 513, 1268, 945, 1568, 1109, 2767, 327, 2293, 630, 704, 3018, 264, 568, 1109, 6507, 269, 5325, 8796, 907, 476, 1109, 6357, 264, 1772, 621, 10257, 547, 946, 713, 1899, 540, 1655, 3514, 547, 1118, 519, 1657, 12605, 888, 2641, 269, 634, 3349, 2982, 1239, 6394, 593, 519, 2078, 1063, 942, 6170, 4730, 3381, 3756, 543, 942, 6170, 609, 1920, 269, 634, 1899, 540, 1655, 3514, 585, 519, 1239, 568, 1109, 344, 24994, 284, 6629, 271, 269, 2190, 343, 266, 10170, 269, 278, 269, 27539, 519, 1899, 540, 1655, 3514, 568, 1713, 543, 972, 568, 513, 2178, 5276, 2078, 1063, 519, 4632, 8796, 11473, 1109, 294, 1868, 1109, 263, 14737, 2373, 264, 1109, 27174, 271, 4037, 3445, 1109, 11742, 1109, 5976, 1109, 23991, 1109, 263, 14737, 2373, 264, 1109, 277, 1428, 4037, 275, 2004, 8796, 269, 630, 320, 264, 4340, 547, 519, 1899, 540, 1655, 3514, 267, 1018, 2560, 1131, 581, 519, 10567, 1297, 540, 3764, 6170, 609, 1920, 585, 2576, 945, 6170, 1109, 9262, 2381, 2373, 4730, 3381, 3756, 286, 18471, 707, 2626, 547, 1079, 8918, 4025, 563, 2420, 269, 634, 3349, 2982, 1239, 6394, 593, 519, 2078, 1063, 942, 6170, 4730, 3381, 3756, 543, 942, 6170, 609, 1920, 269, 634, 1899, 540, 1655, 3514, 585, 519, 1239, 568, 1109, 344, 24994, 284, 6629, 271, 269, 2190, 343, 266, 10170, 269, 278, 8796, 269, 11473, 1109, 294, 1868, 1109, 263, 14737, 2373, 264, 1109, 27174, 271, 4037, 3445, 1109, 11742, 1109, 5976, 1109, 23991, 1109, 263, 14737, 2373, 264, 1109, 277, 1428, 4037, 275, 2004, 8796, 630, 320, 264, 4340, 547, 519, 1899, 540, 1655, 3514, 267, 519, 10567, 1297, 540, 3764, 6170, 609, 1920, 585, 2576, 945, 6170, 1109, 9262, 1109, 2381, 2373, 4730, 3381, 3756, 568, 1109, 2004, 269, 11025, 8796, 907, 476, 1109, 6357, 264, 1772, 621, 10257, 547, 946, 713, 1899, 540, 1655, 3514, 547, 1118, 2560, 519, 1657, 12605, 888, 2537, 269, 589, 3621, 1353, 593, 17811, 6981, 3947, 519, 1739, 1239, 3349, 8796, 907, 4635, 2029, 267, 621, 729, 5462, 602, 519, 2698, 2040, 540, 10945, 1109, 22829, 4306, 264, 13195, 1109, 10602, 267, 519, 2040, 540, 10945, 9695, 1109, 263, 7704, 305, 264, 13195, 1109, 7918, 269, 25616, 267, 543, 519, 2040, 540, 10945, 1813, 547, 5470, 1109, 263, 7704, 292, 264, 13195, 1109, 2641, 269, 5611, 269, 12433, 1109, 305, 273, 30548, 3313, 922, 2495, 269, 18471, 707, 2626, 547, 2185, 8918, 4025, 888, 2190, 269, 589, 1875, 17416, 9060, 602, 23190, 6175, 950, 519, 4346, 6027, 676, 12654, 11081, 8796, 907, 476, 1109, 26368, 519, 6935, 1063, 23190, 543, 12654, 563, 1839, 269, 6904, 540, 519, 1739, 1239, 5036, 610, 13602, 2560, 1223, 723, 513, 9695, 1899, 609, 513, 2942, 9386, 563, 2918, 269, 589, 15547, 4116, 9060, 602, 519, 3845, 1053, 2196, 1109, 514, 5195, 829, 3018, 538, 15547, 1362, 267, 1109, 291, 267, 568, 8200, 593, 519, 942, 1053, 3636, 5346, 25656, 538, 3764, 829, 3018, 267, 1109, 343, 267, 30548, 666, 581, 24018, 676, 519, 1599, 8796, 269, 667, 3287, 6661, 273, 266, 271, 269, 276, 343, 8796, 907, 8571, 519, 3113, 540, 519, 3845, 1599, 1109, 2507, 676, 28321, 922, 1109, 291, 25435, 543, 1776, 1448, 563, 2767, 269, 6904, 540, 519, 1739, 1239, 5036, 610, 13602, 1223, 723, 513, 9695, 1899, 609, 513, 2942, 586, 25435, 0, 1012, 476, 24798, 279, 692, 278, 267, 21172, 630, 572, 1597, 8536, 1079, 4627, 5216, 264, 568, 606, 1256, 2185, 1673, 580, 1080, 12432, 1297, 1739, 476, 24798, 278, 543, 18631, 476, 24798, 280, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 278, 269, 21172, 6398, 476, 9818, 269, 634, 2040, 540, 922, 9704, 568, 476, 1704, 269, 898, 814, 513, 2698, 540, 476, 276, 6305, 2188, 543, 476, 1626, 2318, 16975, 269, 1703, 616, 476, 274, 267, 29044, 2318, 9981, 630, 1575, 547, 476, 24798, 279, 264, 602, 616, 5266, 6305, 547, 476, 24798, 279, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 275, 454, 1892, 5681, 540, 6226, 1080, 476, 1704, 454, 1892, 7913, 17848, 476, 279, 692, 1012, 8745, 692, 14112, 2012, 476, 278, 8536, 476, 21172, 5722, 8536, 1079, 4627, 5216, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 278, 269, 21172, 6398, 476, 9818, 476, 278, 269, 21172, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 24798, 279, 692, 28269, 16748, 1436, 476, 2537, 6398, 476, 1704, 6398, 476, 7871, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 274, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 276, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 5197, 273, 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, 476, 271, 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, 271, 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, 278, 267, 21172, 568, 476, 2537, 6398, 476, 1704, 6398, 476, 7871, 269, 4595, 621, 814, 513, 2698, 540, 476, 276, 6305, 2188, 267, 476, 278, 267, 21172, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 24798, 279, 692, 272, 267, 476, 273, 267, 476, 275, 267, 476, 279, 267, 476, 1704, 267, 476, 4097, 267, 476, 7871, 267, 476, 6924, 267, 476, 11793, 267, 476, 15793, 267, 476, 18891, 267, 476, 275, 2190, 267, 476, 3445, 272, 267, 476, 5197, 273, 267, 476, 11740, 275, 267, 476, 24798, 279, 692, 1626, 16975, 692, 4634, 16975, 476, 1321, 476, 275, 476, 275, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 1626, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 13970, 3199, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 278, 4391, 273, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 26605, 269, 1839, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 10019, 269, 279, 4200, 280, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 278, 269, 280, 1015, 4905, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 278, 267, 21172, 666, 581, 5258, 676, 476, 1626, 2318, 16975, 630, 719, 540, 799, 476, 1321, 616, 1256, 267, 543, 476, 275, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 278, 267, 21172, 264, 568, 476, 1691, 267, 276, 3199, 267, 519, 3328, 568, 476, 26605, 11783, 1839, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 24798, 279, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 28590, 279, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 21172, 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, 280, 2190, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 1626, 634, 1297, 540, 2081, 562, 666, 581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28751, 825, 1820, 2891, 13644, 371, 27447, 24662, 421, 506, 478, 28884, 26406, 496, 31365, 7511, 12255, 21211, 8147, 17958, 419, 358, 374, 21550, 376, 25203, 372, 13213, 508, 16088, 5602, 825, 561, 815, 3403, 14061, 20889, 2891, 19515, 825, 561, 815, 1496, 842, 9217, 264, 585, 1775, 538, 561, 2639, 825, 23453, 532, 31374, 10857, 994, 825, 1820, 10857, 264, 0, 258, 8193, 281, 30016, 268, 279, 454, 5228, 10070, 1104, 632, 4302, 7531, 5035, 19219, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 267, 2451, 22561, 267, 1318, 22561, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 7531, 3698, 1711, 6630, 872, 10031, 825, 9041, 274, 815, 19219, 263, 274, 994, 825, 9041, 1321, 815, 19219, 263, 1321, 267, 9041, 274, 994, 825, 2132, 9041, 1321, 7531, 3698, 17626, 3528, 25583, 263, 3650, 2187, 825, 952, 2212, 2652, 7183, 912, 1038, 2132, 834, 258, 30882, 825, 759, 815, 834, 4840, 825, 20313, 815, 632, 4302, 4590, 825, 20313, 27044, 263, 271, 267, 2212, 994, 825, 1247, 20313, 912, 1038, 554, 815, 20313, 21014, 4590, 1038, 952, 554, 2652, 7183, 912, 2018, 759, 6834, 834, 258, 30882, 1038, 3116, 912, 2018, 759, 6834, 1193, 22607, 27841, 264, 1341, 834, 30882, 2018, 20313, 27044, 263, 271, 267, 554, 16000, 994, 2018, 20313, 27044, 263, 271, 267, 554, 16192, 994, 825, 2132, 759, 7531, 3698, 11028, 3528, 25583, 21803, 263, 318, 1598, 2187, 825, 2418, 815, 632, 4302, 263, 318, 1598, 21858, 2891, 10590, 4917, 825, 2418, 21014, 4590, 825, 585, 1775, 538, 2039, 12759, 263, 11161, 15892, 1038, 952, 2418, 5157, 316, 2652, 834, 258, 13426, 2018, 2418, 5157, 316, 815, 7183, 454, 1038, 3116, 912, 2018, 2418, 5157, 316, 815, 19219, 263, 11161, 5157, 7481, 825, 2212, 815, 2418, 4877, 963, 1111, 4590, 825, 20313, 815, 632, 4302, 4590, 825, 20313, 27044, 263, 271, 267, 2212, 994, 825, 1247, 20313, 912, 1038, 6843, 815, 20313, 21014, 4590, 1038, 6843, 16000, 815, 2418, 4877, 963, 1111, 4590, 1038, 6843, 16192, 815, 2418, 4877, 963, 1111, 4590, 1038, 952, 6843, 16000, 912, 2018, 20313, 27044, 263, 271, 267, 6843, 16000, 994, 1038, 952, 6843, 16192, 912, 2018, 20313, 27044, 263, 271, 267, 6843, 16192, 994, 825, 2132, 2212, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2212, 815, 1711, 6630, 872, 4590, 825, 759, 815, 17626, 3528, 25583, 263, 3650, 994, 825, 1820, 2891, 31365, 28578, 25060, 500, 16088, 2580, 1439, 284, 3269, 1070, 1820, 263, 637, 994, 825, 1820, 2891, 9463, 491, 31365, 28578, 25060, 500, 16088, 5602, 825, 554, 815, 11028, 3528, 25583, 21803, 263, 637, 994, 825, 1820, 22607, 27841, 994, 825, 1820, 22607, 16000, 27841, 994, 825, 1820, 22607, 16192, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 311, 1168, 326, 297, 514, 302, 313, 332, 296, 337, 29369, 290, 333, 331, 309, 4811, 330, 345, 325, 23859, 655, 312, 13048, 7825, 309, 328, 8025, 338, 294, 309, 340, 308, 294, 301, 1127, 342, 337, 301, 304, 297, 313, 549, 24427, 341, 338, 323, 332, 330, 337, 312, 293, 6311, 300, 340, 290, 298, 304, 310, 304, 1122, 310, 26338, 301, 333, 308, 310, 12613, 332, 583, 297, 303, 311, 341, 345, 336, 342, 7714, 337, 29262, 339, 325, 295, 338, 311, 29369, 339, 299, 322, 294, 344, 343, 322, 6447, 336, 297, 324, 17751, 323, 18958, 7473, 2710, 14877, 325, 326, 325, 333, 312, 7563, 312, 341, 15957, 332, 1695, 13993, 312, 298, 335, 288, 643, 311, 327, 8976, 300, 325, 294, 301, 299, 916, 2106, 7079, 12569, 304, 23424, 306, 1372, 293, 323, 304, 311, 11276, 306, 4206, 327, 342, 26774, 1122, 345, 304, 313, 343, 325, 342, 2969, 302, 5357, 332, 307, 525, 313, 329, 343, 335, 31270, 333, 312, 7666, 327, 292, 8582, 24926, 309, 822, 341, 26364, 341, 289, 559, 300, 342, 293, 336, 4141, 290, 332, 342, 330, 335, 329, 297, 343, 14899, 323, 6851, 299, 10712, 17472, 327, 1320, 292, 342, 303, 335, 297, 300, 310, 321, 7251, 293, 336, 313, 336, 295, 330, 345, 2464, 628, 336, 328, 308, 297, 308, 714, 9536, 724, 320, 312, 344, 299, 300, 343, 15879, 553, 295, 321, 298, 4002, 297, 307, 773, 322, 312, 300, 343, 327, 296, 32074, 301, 330, 30298, 298, 301, 309, 343, 313, 20597, 335, 16604, 342, 341, 4002, 298, 345, 529, 323, 298, 11965, 10937, 290, 336, 295, 304, 291, 312, 298, 680, 295, 333, 332, 313, 311, 291, 339, 291, 322, 304, 339, 303, 321, 308, 343, 341, 343, 329, 528, 9143, 340, 297, 344, 298, 300, 310, 342, 6224, 326, 305, 309, 293, 334, 312, 321, 14011, 2928, 340, 296, 334, 336, 327, 31800, 313, 29552, 341, 322, 1320, 305, 335, 293, 341, 312, 331, 300, 13700, 30501, 306, 311, 310, 331, 26183, 326, 307, 5674, 19781, 29669, 320, 312, 520, 10499, 17247, 336, 329, 933, 17025, 294, 321, 297, 293, 343, 341, 10258, 291, 329, 336, 13993, 308, 327, 335, 17239, 26214, 323, 341, 303, 304, 24427, 2763, 329, 326, 29949, 295, 325, 310, 293, 4596, 338, 293, 313, 298, 1731, 295, 338, 289, 313, 1962, 309, 10387, 330, 5825, 305, 14567, 322, 292, 10013, 300, 13062, 974, 293, 301, 9288, 312, 310, 336, 325, 336, 308, 326, 20784, 11276, 343, 335, 15045, 26364, 303, 298, 311, 300, 325, 329, 304, 344, 11246, 325, 306, 298, 331, 4537, 291, 313, 18958, 15709, 4512, 304, 13703, 14877, 15598, 304, 337, 313, 11246, 331, 308, 342, 11965, 321, 299, 323, 617, 332, 516, 297, 303, 329, 291, 313, 339, 1320, 572, 327, 313, 22003, 338, 297, 293, 336, 310, 289, 332, 304, 10000, 321, 343, 323, 327, 329, 309, 299, 9331, 18958, 331, 304, 306, 592, 342, 10387, 326, 293, 325, 336, 299, 309, 334, 11085, 292, 22003, 326, 293, 291, 335, 304, 288, 2704, 300, 311, 330, 313, 304, 291, 342, 289, 25900, 18444, 327, 7699, 308, 304, 302, 297, 2969, 305, 313, 321, 311, 292, 304, 14154, 304, 2026, 304, 301, 1872, 304, 306, 297, 745, 312, 321, 291, 341, 289, 312, 333, 304, 18255, 17442, 558, 313, 339, 290, 335, 313, 340, 305, 340, 11390, 334, 22296, 756, 30999, 335, 13703, 337, 295, 332, 14765, 313, 584, 335, 296, 304, 298, 298, 293, 11899, 311, 518, 323, 592, 312, 22977, 302, 326, 305, 7894, 338, 310, 311, 12317, 333, 325, 5719, 8085, 311, 325, 343, 920, 321, 16282, 293, 686, 293, 341, 311, 31813, 304, 344, 340, 4353, 305, 1889, 15709, 328, 26183, 339, 527, 337, 333, 330, 343, 302, 297, 12320, 10907, 288, 311, 13510, 290, 5226, 342, 27778, 4002, 309, 341, 327, 291, 294, 311, 313, 305, 1087, 7417, 335, 17928, 329, 336, 301, 299, 336, 300, 333, 332, 336, 326, 3412, 327, 345, 322, 2346, 345, 293, 322, 545, 289, 345, 25219, 291, 312, 1460, 2741, 3534, 9680, 5495, 16604, 10907, 1320, 291, 341, 293, 345, 311, 299, 321, 293, 333, 292, 326, 296, 343, 329, 296, 26980, 1075, 2346, 297, 324, 299, 11276, 303, 323, 2727, 293, 26364, 9128, 5746, 16775, 5960, 290, 30641, 298, 339, 331, 326, 2662, 4206, 299, 304, 9383, 325, 335, 299, 336, 321, 304, 312, 5060, 323, 313, 293, 7468, 305, 327, 13748, 298, 325, 313, 17383, 311, 293, 5052, 297, 302, 324, 334, 11403, 31769, 298, 16598, 329, 329, 289, 10394, 308, 327, 295, 10823, 343, 332, 305, 331, 297, 310, 523, 336, 526, 11070, 326, 25537, 302, 2026, 336, 329, 14369, 311, 324, 300, 326, 302, 324, 305, 295, 8578, 312, 27770, 310, 336, 291, 22143, 326, 297, 296, 9926, 340, 290, 345, 660, 597, 301, 327, 309, 19447, 329, 325, 12487, 294, 333, 337, 16256, 336, 330, 8461, 335, 333, 1195, 292, 334, 308, 25897, 329, 2421, 320, 304, 14176, 306, 343, 329, 313, 15598, 326, 308, 310, 1794, 7876, 26364, 288, 20062, 320, 290, 18958, 1103, 14875, 301, 297, 31323, 327, 16703, 1873, 345, 341, 18128, 974, 7795, 305, 323, 3008, 321, 295, 308, 4206, 337, 10064, 344, 289, 295, 295, 31270, 304, 322, 343, 8656, 342, 325, 326, 31159, 299, 336, 327, 29764, 327, 310, 310, 335, 307, 321, 342, 15879, 336, 330, 336, 343, 23562, 3201, 288, 344, 23424, 310, 321, 297, 9928, 342, 296, 297, 313, 7804, 311, 289, 3041, 322, 9128, 5226, 305, 26364, 10468, 31159, 325, 305, 308, 330, 304, 312, 16210, 288, 336, 27942, 337, 309, 322, 336, 310, 330, 297, 344, 304, 302, 10498, 325, 343, 24871, 291, 868, 298, 2177, 826, 5591, 334, 7582, 20623, 343, 321, 291, 333, 343, 304, 342, 341, 326, 7825, 4811, 299, 342, 332, 302, 339, 325, 289, 2005, 341, 8104, 17162, 342, 305, 297, 311, 30469, 23895, 298, 340, 2967, 291, 335, 308, 20062, 295, 1805, 343, 300, 3528, 342, 340, 340, 298, 577, 335, 288, 345, 321, 345, 335, 300, 6311, 344, 312, 310, 326, 321, 299, 322, 313, 306, 329, 338, 333, 297, 2998, 295, 322, 298, 323, 8008, 299, 23950, 298, 295, 337, 345, 341, 309, 341, 1777, 13612, 343, 576, 310, 310, 336, 27942, 5414, 290, 24774, 12613, 339, 291, 311, 313, 341, 297, 3412, 330, 291, 329, 325, 312, 322, 11445, 10621, 327, 288, 310, 311, 336, 296, 344, 305, 16936, 307, 903, 30560, 331, 313, 4263, 333, 331, 312, 310, 304, 343, 777, 345, 322, 17989, 292, 1993, 310, 312, 293, 333, 298, 332, 295, 651, 341, 302, 344, 297, 13695, 2465, 299, 6395, 31319, 291, 339, 291, 295, 298, 7876, 344, 1320, 310, 313, 309, 326, 4041, 339, 305, 321, 27426, 330, 345, 336, 303, 323, 31807, 294, 1506, 297, 6758, 301, 335, 13036, 297, 300, 298, 298, 297, 306, 309, 335, 299, 3036, 557, 31807, 9749, 311, 313, 29996, 295, 300, 336, 297, 336, 328, 20062, 301, 298, 21542, 10813, 329, 302, 311, 289, 320, 5308, 343, 12364, 337, 304, 334, 336, 701, 342, 312, 307, 332, 559, 343, 7714, 298, 27942, 300, 332, 303, 312, 289, 333, 313, 24174, 337, 16787, 5588, 10468, 297, 290, 297, 327, 25900, 342, 331, 696, 305, 327, 325, 330, 639, 310, 298, 338, 345, 313, 3725, 290, 330, 294, 5414, 313, 300, 323, 26183, 5495, 11965, 304, 6224, 331, 342, 304, 339, 326, 299, 2716, 1372, 344, 310, 330, 8980, 337, 345, 7714, 299, 331, 325, 289, 345, 13510, 20745, 343, 312, 294, 339, 305, 345, 289, 322, 300, 326, 289, 10975, 345, 333, 310, 321, 309, 11985, 289, 298, 301, 333, 305, 336, 31198, 331, 326, 332, 299, 326, 308, 326, 343, 307, 328, 289, 325, 8016, 342, 7251, 329, 344, 7417, 304, 12317, 6311, 7473, 298, 329, 301, 341, 303, 321, 294, 341, 341, 660, 23682, 310, 309, 299, 313, 305, 31037, 301, 329, 9281, 653, 295, 297, 332, 291, 341, 26394, 336, 330, 341, 313, 295, 336, 18250, 326, 297, 345, 323, 342, 288, 340, 299, 5674, 20315, 31270, 311, 17763, 297, 308, 16660, 11586, 336, 295, 12711, 313, 302, 2419, 345, 289, 298, 311, 289, 326, 580, 294, 329, 309, 641, 4456, 294, 2135, 321, 345, 5319, 289, 310, 311, 291, 342, 22076, 345, 294, 339, 14369, 3725, 289, 345, 332, 295, 298, 295, 342, 321, 296, 7288, 312, 297, 297, 3198, 312, 289, 330, 311, 292, 326, 312, 344, 295, 294, 12921, 2643, 336, 321, 330, 322, 329, 341, 299, 20812, 22721, 326, 308, 322, 305, 308, 336, 306, 343, 10135, 323, 298, 335, 322, 306, 341, 933, 2662, 308, 868, 342, 296, 304, 329, 337, 303, 325, 298, 311, 345, 11266, 341, 293, 329, 338, 329, 16787, 339, 306, 313, 12639, 343, 12435, 294, 961, 322, 297, 339, 560, 301, 329, 312, 311, 329, 345, 332, 288, 340, 307, 329, 332, 12710, 329, 312, 14503, 299, 12858, 293, 16165, 4306, 339, 2894, 301, 313, 1314, 313, 313, 296, 312, 334, 296, 340, 295, 2316, 332, 294, 3944, 10933, 313, 329, 333, 788, 326, 313, 331, 313, 11276, 8016, 3201, 321, 6630, 345, 335, 291, 339, 313, 310, 289, 526, 308, 313, 305, 313, 344, 288, 334, 15709, 933, 20302, 295, 322, 299, 331, 13052, 300, 14899, 333, 311, 344, 296, 312, 308, 331, 299, 313, 327, 5960, 294, 333, 14684, 12921, 8500, 7775, 327, 307, 9169, 311, 290, 24427, 342, 339, 293, 3291, 17269, 335, 304, 341, 289, 16660, 304, 26501, 296, 335, 311, 328, 292, 7775, 311, 305, 297, 310, 307, 21683, 304, 300, 327, 298, 335, 30641, 325, 321, 889, 13697, 327, 309, 328, 297, 294, 312, 296, 304, 322, 311, 296, 321, 304, 339, 343, 9383, 313, 322, 313, 328, 8008, 309, 24175, 312, 332, 343, 293, 337, 294, 321, 24871, 297, 313, 288, 313, 289, 345, 297, 292, 304, 17584, 322, 304, 291, 326, 335, 302, 1872, 329, 7495, 329, 322, 25721, 341, 329, 338, 343, 321, 289, 310, 321, 290, 6781, 300, 4953, 337, 294, 341, 295, 3387, 342, 288, 343, 323, 299, 11085, 340, 334, 296, 329, 16031, 321, 17315, 292, 325, 20062, 295, 313, 341, 300, 8243, 340, 11901, 326, 1805, 326, 303, 10455, 291, 294, 5495, 337, 343, 326, 30641, 335, 13697, 342, 2692, 31319, 299, 12702, 313, 332, 299, 340, 307, 323, 984, 308, 302, 341, 312, 309, 297, 9331, 328, 288, 310, 329, 305, 321, 5529, 339, 294, 680, 4596, 312, 680, 4811, 289, 310, 333, 11266, 333, 330, 290, 329, 342, 331, 299, 341, 308, 1097, 297, 305, 323, 303, 333, 299, 326, 312, 336, 310, 312, 325, 12487, 320, 296, 336, 2793, 329, 1188, 332, 299, 297, 311, 310, 4953, 320, 290, 323, 8025, 308, 294, 341, 288, 295, 569, 295, 304, 294, 321, 306, 336, 339, 295, 336, 322, 329, 291, 8582, 300, 26214, 3333, 340, 310, 332, 336, 324, 294, 342, 313, 604, 16936, 8248, 302, 336, 343, 293, 4041, 311, 7224, 320, 655, 7775, 295, 294, 3849, 293, 332, 307, 329, 5825, 330, 290, 345, 310, 26183, 288, 313, 326, 343, 26364, 290, 294, 9391, 296, 331, 13052, 5319, 293, 6255, 298, 307, 582, 304, 9281, 340, 296, 321, 293, 344, 292, 295, 325, 289, 6853, 325, 341, 327, 343, 292, 826, 291, 345, 339, 296, 326, 332, 307, 321, 291, 528, 299, 636, 307, 343, 307, 340, 6195, 289, 12028, 321, 298, 303, 297, 330, 307, 23077, 2171, 329, 295, 3240, 320, 15477, 336, 327, 300, 330, 341, 296, 328, 8248, 299, 339, 325, 27942, 16412, 289, 5522, 342, 341, 321, 341, 313, 332, 13967, 330, 4488, 301, 340, 17442, 295, 295, 298, 305, 344, 4531, 341, 307, 293, 289, 342, 30965, 758, 289, 335, 310, 325, 323, 329, 299, 295, 342, 294, 23777, 290, 330, 294, 8150, 328, 307, 341, 323, 288, 343, 313, 328, 306, 760, 328, 306, 336, 311, 305, 344, 289, 322, 297, 330, 312, 337, 291, 345, 326, 293, 329, 332, 327, 330, 343, 323, 295, 611, 292, 4456, 344, 30641, 326, 10499, 292, 344, 305, 3873, 11403, 14513, 313, 291, 5141, 305, 300, 309, 28926, 322, 11965, 297, 974, 8461, 295, 304, 296, 321, 308, 294, 308, 323, 326, 345, 310, 329, 310, 2316, 313, 12682, 306, 298, 336, 327, 345, 341, 520, 326, 307, 4338, 20062, 325, 295, 298, 321, 335 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 318, 20931, 994, 825, 1820, 263, 9064, 2020, 825, 1948, 18140, 1154, 519, 1899, 547, 581, 10268, 454, 825, 1535, 1556, 815, 16733, 9064, 314, 271, 27994, 9064, 314, 272, 30297, 272, 4917, 825, 1535, 1321, 815, 16733, 9064, 314, 271, 27994, 9064, 314, 272, 30297, 2004, 4917, 825, 12301, 19502, 8443, 343, 1556, 267, 1535, 1321, 3910, 1496, 272, 267, 476, 2004, 3910, 1412, 337, 17210, 825, 12301, 20481, 3890, 0, 5814, 2979, 1477, 3698, 4194, 5334, 644, 18602, 29033, 8029, 825, 15981, 10472, 1599, 31758, 513, 521, 644, 18602, 4604, 18257, 1477, 825, 1007, 318, 4580, 815, 4604, 11468, 15947, 825, 952, 4194, 5334, 644, 18602, 318, 3559, 704, 28956, 318, 4580, 8029, 1038, 2132, 6936, 1477, 825, 3116, 6769, 1038, 2132, 8771, 5897, 3698, 4194, 5334, 644, 18602, 318, 3559, 704, 29033, 8029, 825, 15981, 10472, 1599, 31758, 513, 521, 644, 18602, 4604, 7024, 3020, 952, 519, 4604, 666, 581, 12193, 1477, 825, 543, 7301, 952, 711, 18257, 1477, 825, 24072, 815, 1496, 271, 267, 476, 271, 15947, 825, 952, 711, 1265, 318, 24105, 9078, 6327, 29033, 267, 24072, 2567, 1948, 19972, 338, 585, 606, 8900, 5544, 593, 519, 4604, 1477, 1038, 2132, 6936, 1477, 825, 4737, 815, 24072, 314, 271, 15947, 825, 897, 815, 24072, 314, 272, 15947, 825, 585, 1003, 538, 2039, 263, 272, 267, 7003, 29033, 11924, 272, 8029, 1038, 952, 3656, 318, 10293, 16325, 267, 992, 267, 3712, 267, 4580, 2567, 1948, 3832, 4242, 952, 1297, 666, 581, 2322, 538, 8900, 5544, 1477, 2018, 4604, 314, 992, 6012, 3712, 316, 815, 1003, 1477, 2018, 952, 4194, 5334, 644, 18602, 318, 3559, 704, 29033, 8029, 3546, 2132, 6936, 1477, 2018, 4604, 314, 992, 6012, 3712, 316, 815, 476, 271, 1477, 825, 2132, 8771, 5897, 3698, 3656, 318, 10293, 16325, 267, 992, 267, 3712, 267, 4580, 8029, 825, 15981, 10472, 1599, 11974, 952, 519, 1297, 2016, 666, 581, 2322, 538, 519, 2016, 13307, 18257, 1477, 825, 3597, 5332, 815, 2979, 28460, 12759, 29033, 17903, 825, 952, 630, 13765, 19571, 18425, 5334, 13645, 16325, 267, 992, 267, 3712, 267, 4580, 267, 10174, 5332, 264, 610, 2638, 19571, 18425, 22674, 16325, 267, 992, 267, 3712, 267, 4580, 3418, 2018, 610, 1003, 538, 4604, 314, 992, 6012, 271, 281, 3712, 316, 610, 1003, 538, 4604, 314, 992, 6012, 3712, 266, 272, 281, 316, 8029, 1038, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 2638, 19571, 18425, 5334, 13645, 16325, 267, 992, 267, 3712, 267, 4580, 267, 10174, 5332, 8029, 825, 15981, 10472, 1599, 7024, 513, 1592, 540, 782, 2338, 3330, 513, 4009, 18257, 1477, 825, 4009, 318, 11034, 32284, 815, 703, 9230, 992, 2260, 10174, 5332, 12684, 10174, 5332, 3418, 825, 4009, 318, 11034, 22674, 815, 703, 9230, 3712, 12262, 3597, 5332, 264, 2608, 3597, 5332, 3418, 825, 585, 1775, 538, 2039, 4433, 13645, 318, 11034, 32284, 29679, 13645, 318, 11034, 32284, 266, 842, 20172, 5332, 264, 8029, 1038, 585, 795, 538, 2039, 4433, 13645, 318, 11034, 22674, 29679, 13645, 318, 11034, 22674, 266, 842, 20172, 5332, 264, 8029, 2018, 952, 1003, 2525, 4580, 5157, 6012, 329, 316, 6769, 3546, 2132, 6936, 1477, 825, 2132, 8771, 5897, 3698, 2638, 19571, 18425, 22674, 16325, 267, 992, 267, 3712, 267, 4580, 8029, 825, 15981, 10472, 1599, 7024, 513, 1592, 609, 782, 519, 2338, 602, 2408, 538, 519, 2016, 6241, 18257, 1477, 825, 585, 4737, 538, 2039, 263, 271, 267, 992, 2567, 1948, 3832, 4242, 952, 519, 1003, 568, 3330, 519, 4737, 689, 519, 1376, 547, 519, 4994, 540, 519, 5544, 1477, 2018, 952, 1003, 2652, 4604, 314, 992, 6012, 3712, 316, 6769, 3546, 2132, 6936, 1477, 825, 585, 4737, 538, 2039, 21405, 266, 272, 267, 6352, 29033, 264, 2567, 1948, 3832, 4242, 952, 519, 1003, 568, 3330, 519, 4737, 689, 519, 5544, 547, 519, 1439, 1477, 2018, 952, 1003, 2652, 4604, 314, 992, 6012, 3712, 316, 6769, 3546, 2132, 6936, 1477, 825, 2132, 8771, 5897, 3698, 1265, 318, 24105, 9078, 6327, 29033, 267, 24072, 8029, 825, 15981, 10472, 1599, 9060, 606, 8900, 4994, 3330, 519, 4604, 18257, 1477, 825, 585, 4737, 538, 2039, 12759, 29033, 264, 8029, 1038, 585, 897, 538, 2039, 12759, 29033, 264, 8029, 2018, 952, 4604, 314, 992, 6012, 3712, 316, 2652, 476, 271, 6769, 3546, 24072, 314, 271, 316, 815, 4737, 1477, 3546, 24072, 314, 272, 316, 815, 897, 1477, 3546, 2132, 6936, 1477, 825, 2132, 8771, 5897, 3698, 1820, 17624, 5334, 889, 338, 1115, 3799, 267, 330, 8029, 825, 15981, 10472, 1599, 16493, 782, 1016, 2516, 2450, 737, 689, 476, 271, 547, 562, 268, 272, 18257, 1477, 825, 32102, 284, 4289, 263, 9792, 3799, 17903, 825, 952, 562, 2525, 271, 6769, 1038, 2132, 1477, 825, 24072, 284, 5257, 1477, 825, 952, 737, 27045, 333, 6769, 1038, 1820, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 10857, 560, 267, 737, 267, 17763, 5793, 10142, 3698, 1820, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 10857, 560, 267, 330, 267, 17763, 5793, 8029, 825, 15981, 10472, 1599, 16493, 782, 1016, 2516, 2450, 737, 689, 476, 271, 547, 562, 268, 272, 18257, 1477, 825, 952, 737, 2652, 476, 271, 6769, 1038, 585, 1775, 538, 2039, 12759, 9638, 334, 5793, 9984, 272, 8029, 2018, 952, 24072, 5157, 316, 285, 17763, 5793, 5157, 266, 272, 316, 6769, 3546, 2132, 1477, 1038, 1820, 9852, 820, 9078, 560, 318, 5228, 23952, 9638, 334, 5793, 17903, 1038, 2132, 1477, 825, 585, 1775, 538, 32102, 6769, 1038, 952, 1193, 9217, 264, 538, 24072, 6769, 2018, 3136, 1477, 1038, 1007, 7272, 334, 5793, 284, 17763, 5793, 266, 1598, 9217, 3418, 1038, 1820, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 10857, 560, 267, 330, 268, 272, 267, 1007, 7272, 334, 5793, 10142, 3698, 1118, 9078, 560, 318, 5228, 23952, 9638, 334, 5793, 8029, 825, 15981, 10472, 1599, 973, 773, 1407, 513, 5569, 543, 7024, 513, 1592, 540, 782, 1016, 25364, 18257, 1477, 825, 32102, 815, 1496, 15947, 825, 585, 1775, 538, 2039, 12759, 9638, 334, 5793, 264, 8029, 1038, 32102, 6910, 17301, 9638, 334, 5793, 5157, 8079, 3418, 825, 2132, 32102, 5897, 3698, 6445, 17624, 5334, 889, 338, 1115, 3799, 267, 330, 267, 331, 560, 8029, 825, 15981, 10472, 1599, 2306, 513, 1592, 609, 782, 1016, 2516, 2450, 737, 689, 476, 271, 547, 562, 268, 272, 18257, 1477, 825, 32102, 5332, 815, 1592, 263, 9792, 3799, 17903, 825, 24072, 815, 15234, 1477, 825, 952, 737, 27045, 333, 6769, 1038, 6445, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 10857, 560, 5332, 267, 737, 267, 24072, 267, 331, 560, 10142, 3698, 6445, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 10857, 560, 5332, 267, 330, 267, 17763, 5793, 267, 331, 560, 8029, 825, 15981, 10472, 1599, 2306, 513, 1592, 609, 782, 1016, 2516, 2450, 737, 689, 476, 271, 547, 562, 268, 272, 18257, 1477, 825, 952, 737, 2652, 476, 271, 6769, 1038, 585, 1775, 538, 2039, 12759, 9638, 334, 5793, 9984, 272, 8029, 2018, 952, 24072, 5157, 316, 285, 17763, 5793, 5157, 266, 272, 316, 6769, 3546, 2132, 1477, 1038, 10917, 9078, 560, 815, 1496, 15947, 1038, 585, 1775, 538, 2039, 12759, 9638, 334, 5793, 264, 8029, 2018, 10917, 9078, 560, 6910, 17301, 9638, 334, 5793, 5157, 8079, 3418, 1038, 32102, 6910, 6025, 11391, 9078, 560, 3418, 1038, 2132, 1477, 825, 585, 1775, 538, 32102, 5332, 6769, 1038, 952, 1193, 9217, 264, 538, 24072, 6769, 2018, 3136, 1477, 1038, 1007, 7272, 334, 5793, 284, 17763, 5793, 266, 1598, 9217, 3418, 1038, 6445, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 10857, 560, 5332, 267, 330, 268, 272, 267, 1007, 7272, 334, 5793, 267, 331, 560, 10142, 3698, 2132, 17624, 5334, 889, 338, 1115, 3799, 267, 330, 8029, 825, 15981, 10472, 1599, 4991, 513, 1592, 543, 7024, 513, 1007, 1592, 609, 782, 1016, 2516, 2450, 737, 689, 476, 271, 547, 562, 268, 272, 18257, 1477, 825, 1007, 9078, 560, 17342, 15947, 825, 952, 562, 2525, 271, 6769, 1038, 2132, 1007, 9078, 560, 1477, 825, 952, 737, 10922, 562, 6769, 1038, 1292, 9078, 560, 284, 8873, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 3799, 267, 737, 3418, 1038, 585, 1775, 538, 1292, 9078, 560, 6769, 2018, 952, 7003, 9217, 264, 11203, 737, 281, 1948, 3832, 4242, 952, 782, 2516, 616, 2450, 737, 1477, 3546, 3136, 1477, 2018, 1007, 9078, 560, 6910, 9217, 3418, 825, 2132, 1007, 9078, 560, 5897, 3698, 2132, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 3799, 267, 330, 8029, 825, 15981, 10472, 1599, 2306, 513, 1592, 540, 1016, 2516, 689, 476, 271, 547, 562, 268, 272, 18257, 1477, 825, 952, 737, 2652, 476, 271, 6769, 1038, 2132, 20886, 14963, 1477, 825, 1292, 9078, 560, 17342, 15947, 825, 585, 1775, 538, 2039, 3799, 8029, 1038, 10917, 9078, 560, 284, 8873, 17624, 5334, 889, 338, 1115, 318, 3559, 704, 3799, 267, 737, 268, 272, 3418, 1038, 585, 32102, 538, 10917, 9078, 560, 6769, 3546, 952, 32102, 2525, 26514, 6769, 7386, 32102, 6910, 9217, 3418, 3546, 952, 1775, 538, 32102, 610, 32102, 314, 6352, 10857, 560, 9984, 272, 316, 285, 328, 6769, 7386, 3136, 1477, 3546, 32102, 6910, 9217, 3418, 1038, 1292, 9078, 560, 269, 2169, 754, 6025, 11391, 9078, 560, 3418, 825, 2132, 1292, 9078, 560, 5897, 0, 5035, 8827, 912, 825, 1219, 25961, 4311, 267, 10174, 267, 7451, 267, 637, 2187, 1038, 952, 3597, 568, 7183, 912, 2018, 2132, 834, 258, 4840, 1038, 1250, 318, 4650, 815, 1193, 20172, 22183, 11924, 12887, 266, 1345, 269, 3559, 704, 20172, 16000, 267, 7451, 267, 637, 11924, 12887, 266, 1345, 269, 3559, 704, 20172, 16192, 267, 9753, 267, 759, 994, 1038, 952, 9753, 10947, 30044, 318, 4650, 267, 476, 271, 264, 2525, 272, 912, 2018, 759, 6910, 20172, 994, 1038, 952, 1250, 318, 4650, 538, 9753, 912, 2018, 9753, 314, 3240, 318, 4650, 316, 23785, 272, 454, 1038, 3116, 912, 2018, 9753, 314, 3240, 318, 4650, 24557, 272, 454, 1038, 2132, 1250, 318, 4650, 692, 825, 1219, 1265, 291, 340, 12393, 8138, 339, 4181, 4311, 267, 10174, 2187, 1038, 8173, 1038, 2999, 12571, 492, 31365, 421, 479, 491, 31308, 484, 285, 267, 13213, 502, 20069, 12255, 14756, 482, 31365, 28578, 25060, 500, 8147, 417, 375, 374, 419, 360, 489, 31365, 28578, 25060, 500, 420, 371, 509, 10429, 370, 24731, 27064, 364, 418, 361, 350, 12255, 7511, 13107, 510, 16533, 482, 454, 1038, 2433, 12407, 3597, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 9753, 815, 9598, 4590, 1038, 759, 815, 1592, 4590, 1038, 1582, 269, 3559, 704, 20172, 267, 7451, 267, 637, 994, 1038, 2132, 759, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 454, 258, 476, 14756, 503, 27936, 22047, 11590, 490, 9463, 487, 21550, 495, 25520, 10429, 370, 18809, 7511, 22047, 14756, 497, 30536, 8147, 13644, 371, 19867, 378, 24731, 18809, 31365, 421, 479, 491, 31308, 484, 263, 26266, 355, 21550, 373, 9463, 367, 264, 421, 350, 374, 31365, 7511, 31284, 22047, 14756, 497, 30536, 23946, 370, 4970, 498, 13213, 498, 18713, 508, 12486, 21796, 357, 418, 482, 493, 8147, 21550, 495, 18809, 7511, 14756, 497, 30536, 21251, 10524, 483, 25060, 483, 12571, 360, 26266, 355, 9463, 367, 31878, 14756, 497, 30536, 8147, 12571, 490, 28793, 25060, 483, 12571, 360, 418, 490, 485, 12571, 495, 419, 486, 370, 14756, 497, 30536, 7511, 418, 490, 485, 421, 496, 486, 12486, 7531, 5035, 8827, 912, 825, 1948, 17276, 510, 373, 417, 356, 489, 14756, 486, 15159, 26266, 355, 7511, 31284, 22047, 420, 488, 480, 30536, 8147, 24731, 9463, 495, 30536, 21928, 26266, 355, 420, 488, 480, 30536, 454, 825, 1219, 5192, 9202, 4311, 267, 533, 11966, 2187, 1038, 952, 711, 533, 11966, 912, 2018, 2132, 533, 11966, 454, 1038, 1948, 476, 12571, 495, 31284, 454, 1038, 952, 533, 11966, 16192, 912, 2018, 2451, 272, 815, 533, 11966, 16192, 454, 2018, 1247, 2451, 272, 16000, 272, 912, 3546, 2451, 272, 815, 2451, 272, 16000, 454, 2018, 2132, 2451, 272, 454, 1038, 1948, 476, 12571, 495, 31968, 454, 1038, 1247, 533, 11966, 12785, 912, 2018, 31575, 815, 533, 11966, 12785, 454, 2018, 952, 31575, 16000, 2652, 533, 11966, 912, 3546, 2132, 31575, 454, 2018, 533, 11966, 815, 31575, 692, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 476, 14756, 503, 27936, 22047, 12255, 14756, 482, 25520, 418, 375, 495, 20693, 357, 419, 359, 501, 9463, 352, 7511, 27962, 16533, 493, 8147, 19867, 378, 24731, 19867, 478, 20069, 418, 375, 495, 20693, 357, 419, 359, 501, 9463, 352, 19404, 490, 12255, 29219, 7511 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1103, 1931, 585, 519, 1004, 540, 938, 3840, 6874, 1144, 547, 2253, 5106, 540, 513, 4099, 4009, 2344, 267, 621, 729, 2556, 547, 21936, 519, 646, 15077, 540, 5261, 24282, 267, 3627, 543, 9400, 24282, 267, 585, 10479, 269, 2334, 9576, 31885, 14509, 968, 763, 11317, 540, 519, 4884, 540, 3840, 616, 1831, 865, 3875, 602, 789, 1265, 621, 2556, 547, 723, 513, 1857, 2344, 2560, 585, 519, 914, 974, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 3578, 11208, 2552, 7337, 625, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 10572, 10615, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 519, 2295, 540, 3345, 3013, 6013, 513, 14951, 7708, 557, 540, 2984, 267, 7996, 547, 581, 4362, 676, 1346, 945, 3343, 547, 1174, 519, 7096, 7326, 543, 6043, 540, 922, 1101, 11317, 269, 901, 3184, 20217, 596, 547, 7832, 593, 606, 7214, 3460, 883, 519, 1158, 540, 2686, 11091, 998, 9423, 267, 4481, 1369, 519, 2796, 540, 6805, 22242, 538, 3345, 3013, 269, 1635, 3695, 519, 16221, 2081, 538, 799, 891, 2950, 2226, 741, 4296, 547, 2245, 267, 3961, 267, 543, 1747, 267, 649, 4126, 547, 8774, 1769, 593, 519, 2956, 540, 29076, 1702, 4483, 543, 519, 1909, 621, 4249, 538, 24569, 15520, 3309, 7239, 780, 2414, 2253, 938, 7634, 267, 1577, 721, 2015, 519, 1523, 540, 9423, 3294, 269, 2311, 922, 4295, 267, 9423, 4564, 606, 1898, 1480, 2534, 12544, 1797, 998, 799, 2043, 543, 2950, 1118, 2631, 540, 741, 2833, 267, 2671, 2418, 267, 543, 10141, 1702, 2066, 5481, 269, 7324, 6805, 5095, 267, 9423, 17648, 513, 3226, 1713, 1909, 1813, 547, 519, 2620, 27527, 585, 18577, 10752, 543, 519, 7287, 547, 8190, 2189, 2686, 1200, 527, 1137, 538, 519, 3068, 540, 3140, 2591, 971, 607, 17091, 267, 7142, 21939, 267, 543, 30886, 780, 23338, 547, 713, 20089, 568, 519, 4137, 540, 519, 9632, 267, 513, 9006, 23306, 4759, 540, 1082, 5065, 7239, 945, 6585, 513, 5763, 540, 2757, 1702, 5293, 1524, 689, 3105, 5481, 269, 10705, 30939, 7158, 540, 2463, 543, 6392, 1369, 741, 2950, 267, 22242, 4196, 607, 1065, 21627, 1559, 540, 22232, 2853, 267, 4978, 267, 4654, 267, 543, 12583, 269, 3414, 6411, 540, 6297, 19642, 543, 30190, 6771, 267, 789, 2327, 602, 519, 10723, 3595, 540, 2686, 3965, 5170, 547, 6633, 29116, 267, 27283, 11444, 4724, 6209, 6228, 585, 2104, 5481, 780, 3080, 8037, 1383, 540, 2686, 11091, 998, 9423, 666, 581, 1336, 1851, 519, 18937, 26953, 13780, 267, 1141, 22805, 814, 1279, 1044, 2808, 1312, 606, 1148, 1106, 543, 513, 5289, 2259, 269, 12465, 18937, 26953, 678, 13903, 1419, 4183, 1950, 12166, 3270, 8204, 2609, 540, 519, 2067, 1158, 267, 28334, 6698, 267, 610, 6386, 6537, 689, 17174, 13299, 269, 634, 957, 540, 22805, 3294, 568, 28093, 4240, 609, 4644, 267, 7674, 607, 513, 14165, 673, 8115, 1063, 519, 2168, 543, 5289, 26441, 1247, 8195, 17923, 1514, 7554, 1369, 519, 2146, 780, 1103, 713, 2796, 267, 18937, 26953, 22242, 1404, 513, 2629, 1909, 538, 4509, 519, 8699, 540, 22805, 2553, 267, 6272, 267, 543, 2404, 10096, 269, 1358, 1780, 2059, 741, 6791, 998, 29095, 4721, 267, 5711, 6044, 267, 543, 23405, 267, 4180, 602, 7820, 5481, 2611, 4448, 547, 741, 5072, 1256, 607, 789, 4497, 609, 29678, 269, 5047, 267, 676, 4687, 2984, 4478, 519, 5137, 540, 1880, 3270, 610, 18305, 267, 22242, 948, 28511, 513, 2713, 21287, 540, 2686, 1702, 602, 25186, 6071, 12716, 9029, 780, 5194, 8903, 3236, 540, 9423, 607, 513, 1907, 585, 2686, 11091, 19674, 689, 519, 27478, 1004, 540, 519, 11848, 4525, 269, 1280, 5215, 540, 1296, 267, 27478, 22242, 723, 16941, 2390, 5711, 6386, 1634, 607, 834, 514, 3726, 26698, 2437, 799, 7854, 1585, 11964, 8151, 689, 2123, 1121, 514, 4593, 1878, 547, 5837, 8941, 543, 17691, 269, 1452, 2984, 1599, 711, 1152, 607, 2959, 540, 9913, 855, 849, 607, 6472, 585, 23142, 4105, 6668, 1983, 267, 5683, 3741, 267, 543, 14421, 1670, 4030, 780, 2690, 1383, 267, 27478, 22242, 1522, 22281, 13657, 776, 8941, 827, 13341, 609, 5906, 7320, 610, 4766, 2757, 2409, 585, 10122, 267, 10068, 267, 610, 2679, 28075, 5979, 657, 269, 6270, 6386, 711, 1152, 6536, 4052, 21941, 2556, 585, 10188, 10792, 5054, 282, 789, 849, 1128, 650, 513, 7096, 2463, 585, 2470, 543, 922, 10347, 3666, 267, 8716, 4264, 4199, 2359, 2853, 602, 13469, 609, 4207, 5717, 1472, 2916, 1689, 543, 2825, 19642, 780, 19741, 891, 1808, 2665, 267, 6626, 3466, 5815, 602, 1719, 538, 6805, 9423, 568, 3395, 1851, 1312, 4081, 10580, 543, 2442, 9458, 269, 10765, 14172, 814, 12006, 519, 1761, 2640, 540, 6220, 5065, 5380, 883, 918, 268, 1321, 21195, 267, 19163, 602, 3257, 865, 11942, 2565, 3206, 267, 6568, 267, 543, 3444, 14426, 1620, 630, 18250, 290, 691, 344, 1696, 620, 1421, 476, 1001, 280, 1040, 11531, 267, 7341, 899, 519, 2136, 8315, 262, 16672, 593, 519, 7126, 540, 7087, 24447, 11168, 519, 14849, 991, 547, 2149, 543, 3895, 6805, 917, 1194, 2471, 607, 7533, 3334, 540, 2518, 2686, 4763, 630, 18197, 8315, 4937, 13909, 267, 476, 1220, 278, 6393, 4913, 267, 621, 568, 1271, 547, 4063, 602, 3646, 693, 2686, 11091, 998, 9423, 798, 711, 2291, 538, 10072, 689, 3677, 8739, 27791, 4229, 5935, 6805, 2729, 2221, 269, 12983, 971, 607, 1893, 2530, 267, 2244, 7006, 1601, 11970, 267, 543, 5571, 7130, 3136, 547, 10460, 1713, 2591, 585, 5065, 2950, 5275, 547, 2844, 741, 6561, 538, 6209, 2081, 269, 4935, 267, 1022, 6514, 540, 713, 1888, 1590, 11760, 519, 6988, 540, 2188, 3238, 543, 5706, 11509, 1242, 28402, 602, 21372, 519, 4641, 540, 6805, 9620, 585, 1582, 24148, 543, 5126, 780, 1103, 3932, 267, 713, 3184, 814, 8179, 547, 22113, 519, 15491, 2078, 1063, 2686, 11091, 267, 9423, 267, 543, 6805, 7800, 11429, 538, 3345, 3013, 269, 1635, 6313, 6405, 1806, 689, 3309, 11031, 543, 6236, 6626, 7811, 10850, 267, 649, 4126, 547, 723, 3177, 513, 13857, 1620, 540, 519, 2565, 1909, 5129, 676, 29076, 1702, 4483, 538, 4509, 15520, 7524, 7239, 269, 5015, 267, 676, 2502, 609, 1699, 3466, 543, 14046, 9840, 267, 649, 2832, 547, 20838, 519, 10083, 540, 891, 2152, 538, 2221, 781, 5051, 10562, 2943, 27929, 1158, 780, 27066, 1384, 18250, 290, 691, 344, 267, 570, 269, 700, 1421, 19811, 267, 808, 1421, 1299, 22846, 267, 661, 269, 630, 1001, 280, 1040, 1234, 8010, 532, 7087, 20429, 543, 17496, 538, 4065, 269, 11334, 5441, 16680, 267, 476, 13199, 267, 476, 272, 268, 3393, 780, 18197, 8315, 4937, 13909, 269, 630, 1220, 278, 1040, 2136, 8315, 16672, 593, 519, 7126, 540, 7087, 24447, 269, 8158, 689, 4179, 2517, 4178, 26509, 3820, 270, 31141, 7933, 525, 320, 270, 785, 4246, 701, 8024, 11320, 335, 9762, 550, 270, 340, 22744, 338, 4882, 2572, 270, 866, 270, 1001, 279, 270, 1556, 270, 26685, 6020, 303, 318, 292, 318, 19986, 15005, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8702, 547, 519, 4095, 7467, 540, 3345, 3013, 267, 513, 2686, 6561, 9754, 6131, 547, 15386, 519, 3638, 1686, 543, 7499, 5389, 540, 519, 6805, 9082, 540, 3345, 3013, 269, 1306, 596, 1900, 883, 713, 7415, 9872, 267, 596, 786, 581, 27153, 538, 513, 1158, 540, 9159, 15225, 602, 8661, 519, 3309, 4529, 543, 7418, 540, 7111, 1977, 2950, 563, 5804, 3504, 13742, 547, 4207, 26620, 267, 519, 4095, 7467, 540, 3345, 3013, 3091, 513, 4241, 3460, 998, 942, 267, 3850, 8436, 547, 2744, 513, 4514, 1620, 543, 7071, 585, 519, 6805, 6561, 540, 519, 3148, 269, 6787, 596, 616, 606, 1148, 27423, 267, 513, 1686, 10889, 267, 610, 3274, 8049, 827, 519, 7524, 4529, 602, 723, 8032, 3345, 3013, 267, 713, 9754, 568, 513, 1590, 23724, 527, 10278, 563, 2026, 596, 2263, 519, 4095, 7467, 540, 3345, 3013, 267, 596, 786, 723, 519, 4316, 547, 3605, 513, 5318, 5044, 540, 15225, 602, 13686, 519, 3638, 13795, 540, 7111, 1977, 1686, 543, 2528, 269, 3245, 5704, 2299, 18705, 20341, 513, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 27264, 998, 27884, 257, 607, 851, 540, 834, 16300, 13493, 1315, 7087, 1315, 661, 671, 619, 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, 6092, 5149, 281, 29955, 3776, 18877, 910, 634, 4518, 540, 21337, 7991, 4934, 18943, 692, 8702, 267, 5664, 3427, 4841, 2439, 5970, 596, 2479, 2219, 827, 875, 649, 666, 948, 938, 2950, 286, 4653, 267, 649, 786, 1451, 827, 606, 11121, 1895, 540, 1004, 945, 616, 3257, 1175, 602, 256, 1358, 2813, 1945, 1572, 519, 834, 23272, 3626, 7991, 4934, 18943, 7827, 24248, 257, 693, 519, 2160, 540, 27213, 6807, 269, 2913, 781, 4685, 883, 1018, 789, 798, 543, 1946, 621, 6927, 780, 1262, 10112, 12371, 519, 10871, 21337, 7991, 4373, 5331, 3001, 547, 513, 1007, 1747, 1141, 596, 1810, 1405, 3717, 519, 1893, 1360, 1134, 269, 1411, 1522, 1745, 4503, 267, 11821, 267, 543, 18516, 540, 1141, 547, 1265, 1919, 899, 7189, 267, 3506, 267, 610, 17365, 8637, 269, 3767, 4952, 2348, 2828, 945, 1223, 14377, 3388, 585, 596, 1107, 4155, 4191, 267, 27487, 267, 5022, 689, 707, 1126, 781, 4116, 267, 1256, 1072, 1344, 256, 2334, 781, 1018, 519, 21337, 7991, 4934, 18943, 7827, 24248, 1281, 585, 519, 2199, 21337, 2146, 269, 1358, 1683, 3407, 6351, 865, 602, 3025, 666, 1569, 1898, 2533, 543, 2200, 780, 1262, 19733, 543, 17607, 4373, 3080, 1713, 1259, 519, 7827, 24248, 2337, 568, 998, 11581, 24102, 269, 1879, 3782, 4648, 1174, 811, 827, 519, 2189, 2115, 543, 2686, 10080, 540, 741, 21337, 2550, 267, 789, 666, 2709, 1732, 1416, 269, 1924, 267, 891, 5863, 2875, 13538, 2322, 1927, 11925, 267, 899, 834, 23272, 3626, 16195, 2437, 3450, 2564, 7426, 2066, 1896, 4525, 538, 18518, 827, 21337, 2528, 543, 3782, 269, 1635, 4687, 741, 4030, 267, 789, 1711, 3255, 585, 4824, 2792, 1063, 3782, 4600, 543, 3885, 538, 519, 21337, 2146, 780, 5194, 1383, 540, 741, 3872, 3646, 6212, 593, 31178, 32217, 2752, 2894, 8577, 269, 23213, 2860, 5540, 1082, 2021, 5001, 267, 1519, 1346, 538, 519, 21337, 2146, 269, 1677, 2333, 1620, 543, 6604, 267, 519, 7827, 24248, 6896, 2621, 10023, 6089, 2860, 4656, 267, 32182, 267, 543, 1256, 17676, 7882, 9999, 4481, 585, 5824, 553, 256, 1452, 7341, 4688, 2729, 676, 16326, 2152, 2038, 543, 16779, 2043, 609, 2565, 1702, 780, 1262, 21093, 12833, 9407, 538, 2659, 13574, 7991, 4373, 2026, 2104, 3401, 267, 596, 1932, 666, 3565, 9797, 547, 22400, 25265, 7419, 14510, 269, 6056, 827, 2081, 9358, 666, 948, 1866, 1472, 596, 269, 12344, 972, 781, 513, 7023, 945, 3085, 1405, 3717, 2296, 2770, 1836, 267, 610, 6148, 2576, 538, 707, 1920, 9620, 609, 2029, 269, 20644, 1489, 543, 2671, 707, 1983, 282, 3314, 267, 1169, 2370, 3787, 2306, 513, 3017, 256, 8625, 267, 1577, 781, 1628, 6793, 267, 8537, 2950, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 27087, 20447, 31209, 540, 519, 10432, 281, 21337, 7991, 4934, 18943, 454, 16829, 281, 4728, 476, 2537, 267, 476, 1708, 274, 454, 763, 2160, 540, 27213, 6807, 781, 630, 16604, 264, 21337, 7991, 4934, 18943, 7827, 24248, 3252, 547, 4217, 519, 2199, 21337, 2146, 609, 741, 2115, 269, 3245, 8144, 540, 2326, 543, 6054, 267, 547, 4543, 1282, 12674, 19190, 267, 519, 2818, 540, 713, 7827, 24248, 960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30814, 13891, 622, 8189, 585, 11728, 779, 1397, 6658, 693, 670, 1993, 14259, 2160, 729, 968, 20376, 1005, 3013, 9731, 21093, 1394, 547, 7234, 519, 4339, 1996, 519, 9099, 3557, 540, 12925, 543, 519, 2274, 2779, 630, 3041, 6579, 267, 610, 4959, 3041, 264, 543, 804, 4770, 609, 22735, 936, 519, 12925, 2782, 267, 11686, 1767, 968, 933, 1058, 723, 3144, 519, 3282, 6100, 1261, 4682, 593, 547, 2161, 602, 952, 602, 1185, 5949, 267, 4959, 6579, 1131, 711, 723, 1044, 2111, 547, 1106, 607, 3282, 568, 513, 1292, 2707, 540, 4747, 585, 519, 1895, 267, 799, 814, 3144, 8513, 538, 16850, 543, 12925, 563, 23871, 2794, 1025, 5446, 15525, 585, 2921, 2475, 10136, 856, 540, 12925, 1107, 855, 602, 729, 4308, 8815, 676, 2063, 17044, 7022, 10756, 1765, 21142, 17384, 31822, 2704, 534, 293, 8718, 264, 5181, 476, 2767, 267, 476, 1001, 277, 454, 23871, 2794, 267, 1634, 585, 535, 30711, 6898, 593, 519, 5859, 13009, 267, 2663, 7150, 602, 646, 814, 968, 320, 10888, 29525, 5608, 3056, 22735, 547, 2285, 1055, 513, 2462, 12837, 1354, 7234, 519, 2475, 16927, 3757, 6046, 4308, 563, 9515, 20639, 17409, 689, 519, 5304, 607, 1352, 1767, 11686, 729, 1932, 3362, 1008, 12097, 547, 4196, 607, 19524, 268, 538, 268, 27815, 563, 28317, 812, 945, 666, 581, 1008, 12097, 676, 513, 512, 11548, 1058, 711, 723, 1010, 11263, 9170, 2282, 519, 6046, 9479, 2223, 1352, 1767, 563, 23871, 2794, 779, 8560, 1185, 1044, 8375, 538, 519, 2196, 5346, 547, 519, 7521, 563, 5226, 4883, 760, 13519, 2160, 10294, 519, 5198, 968, 1729, 334, 2673, 547, 1289, 892, 593, 11728, 267, 609, 922, 5767, 3084, 3542, 540, 2693, 17037, 11021, 476, 5325, 2600, 1489, 585, 22735, 543, 476, 5379, 2600, 585, 11686, 563, 17606, 2731, 5433, 1390, 2223, 11686, 5143, 1065, 13024, 1310, 519, 7521, 563, 3719, 2797, 25566, 26778, 9652, 5143, 1325, 808, 10270, 5028, 602, 646, 1131, 711, 581, 14281, 968, 604, 649, 1294, 13581, 8458, 538, 519, 1135, 3149, 693, 519, 1439, 540, 519, 3018, 9232, 538, 12797, 540, 22735, 563, 2108, 23871, 2794, 3357, 856, 26490, 1947, 2560, 855, 2760, 6035, 1454, 538, 2474, 540, 6219, 610, 4267, 2223, 646, 1767, 563, 14881, 1589, 10830, 776, 1705, 1018, 1352, 2877, 547, 798, 1732, 982, 11686, 269, 2701, 6035, 3435, 2560, 6045, 875, 1352, 12034, 3013, 543, 1200, 23381, 269, 4173, 18793, 786, 2097, 856, 1360, 25981, 3034, 2005, 729, 519, 1101, 942, 519, 1079, 10457, 11542, 2427, 676, 2427, 2094, 4742, 741, 6105, 685, 9930, 710, 525, 563, 10521, 811, 9840, 616, 547, 1246, 593, 5239, 476, 280, 543, 5239, 476, 866, 269, 0, 30048, 22577, 267, 610, 3987, 267, 568, 513, 2068, 602, 568, 267, 19890, 267, 4742, 811, 1134, 8153, 563, 763, 11841, 540, 3987, 568, 2810, 282, 2687, 547, 519, 2622, 2657, 9257, 630, 21766, 1070, 519, 1297, 540, 1004, 609, 3987, 814, 24111, 689, 476, 10482, 2929, 1004, 538, 476, 2735, 271, 547, 476, 32455, 2929, 538, 476, 1001, 275, 563, 30048, 6799, 538, 1079, 1114, 2081, 282, 1826, 476, 272, 3987, 543, 1826, 476, 273, 3987, 269, 7392, 476, 272, 3987, 568, 606, 16991, 2068, 1141, 519, 18558, 19380, 922, 2702, 547, 3132, 519, 9449, 7378, 267, 799, 2337, 2539, 1973, 4006, 547, 1832, 621, 538, 513, 2635, 2039, 563, 10144, 609, 1826, 476, 272, 3987, 616, 1634, 607, 968, 1231, 6081, 17466, 892, 1317, 789, 1590, 7630, 7378, 547, 2661, 513, 2635, 1272, 563, 13911, 476, 273, 3987, 568, 5532, 547, 7378, 4187, 543, 568, 811, 2693, 547, 581, 5293, 2059, 16220, 267, 543, 666, 849, 2049, 1813, 547, 6197, 2188, 563, 10144, 609, 1826, 476, 273, 3987, 1810, 1406, 8209, 991, 547, 581, 593, 7378, 538, 1931, 547, 7639, 267, 7429, 1004, 609, 1826, 476, 272, 3987, 269, 11485, 2188, 585, 1826, 476, 273, 3987, 1331, 2085, 267, 14940, 267, 1920, 1686, 267, 543, 6197, 6208, 971, 607, 2534, 1377, 563, 31010, 2635, 1973, 14836, 568, 2629, 585, 4227, 4220, 540, 3987, 8374, 267, 971, 607, 8459, 2068, 267, 2295, 2068, 267, 29302, 267, 543, 993, 1584, 725, 563, 2691, 1973, 4006, 2157, 616, 9846, 1164, 267, 519, 1981, 540, 3384, 891, 8374, 4679, 269, 2290, 28658, 540, 1164, 1973, 4006, 538, 1004, 609, 1826, 476, 273, 3987, 568, 15847, 5409, 657, 332, 6897, 5409, 16744, 23303, 6794, 267, 610, 670, 9391, 563, 1432, 568, 4144, 12185, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 888, 13312, 12185, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 267, 610, 670, 9391, 267, 568, 513, 28658, 689, 1360, 1164, 1973, 14836, 538, 1004, 609, 1826, 476, 273, 3987, 563, 2005, 3085, 1406, 2049, 538, 1004, 609, 1826, 476, 272, 3987, 267, 945, 1995, 513, 1114, 28658, 1572, 15847, 27520, 29403, 2670, 950, 1973, 4006, 2157, 616, 5906, 569, 1164, 563, 295, 9391, 568, 513, 2783, 540, 912, 268, 26184, 569, 1164, 1973, 4006, 630, 6921, 26651, 264, 1377, 454, 268, 26184, 3668, 540, 1216, 630, 1372, 5139, 1674, 994, 268, 769, 1082, 2665, 267, 8519, 10332, 1145, 610, 9637, 454, 32207, 958, 267, 519, 14401, 948, 547, 6882, 856, 3063, 1973, 7280, 676, 2810, 519, 2179, 540, 10729, 6569, 689, 519, 1560, 269, 901, 568, 1946, 835, 540, 519, 2589, 540, 3987, 568, 2799, 30614, 563, 2691, 4430, 10729, 568, 6569, 689, 519, 1560, 267, 621, 666, 1291, 547, 18024, 269, 1879, 519, 1560, 568, 13204, 3603, 267, 621, 666, 1406, 1118, 2614, 10729, 547, 23574, 856, 519, 3063, 4006, 563, 1607, 5012, 547, 5409, 657, 28485, 1275, 267, 1141, 519, 1973, 814, 2362, 9830, 540, 7280, 630, 338, 13610, 1070, 6070, 267, 543, 824, 6878, 269, 901, 666, 2014, 1216, 547, 581, 6537, 2476, 689, 824, 2959, 540, 5714, 267, 971, 607, 519, 2634, 267, 799, 568, 1946, 621, 666, 2014, 606, 12012, 1377, 540, 9637, 563, 13312, 12185, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 568, 4330, 607, 1875, 8208, 5328, 267, 799, 1797, 602, 11337, 2158, 5749, 1406, 3812, 899, 538, 519, 2013, 540, 1826, 476, 272, 3987, 543, 15847, 27520, 29403, 2670, 269, 901, 568, 1317, 1004, 609, 1826, 476, 273, 3987, 1419, 1869, 3132, 513, 1507, 2179, 540, 7378, 267, 7429, 1346, 609, 1826, 476, 272, 945, 616, 7378, 28119, 563, 21413, 1022, 7378, 2139, 267, 519, 1560, 9397, 1524, 3170, 585, 4492, 267, 799, 5012, 547, 519, 2504, 540, 11337, 2158, 607, 513, 1267, 563, 1432, 616, 519, 2589, 540, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 888, 2467, 616, 1082, 2589, 547, 4585, 856, 585, 950, 8159, 952, 2576, 1175, 814, 1164, 1973, 4006, 610, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 269, 20050, 540, 519, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 1331, 912, 268, 10552, 4006, 1377, 540, 476, 7785, 31501, 829, 1232, 559, 3438, 630, 16936, 7933, 299, 264, 610, 2362, 454, 268, 28246, 19818, 454, 268, 16959, 5023, 454, 268, 16842, 30614, 454, 268, 24953, 267, 3819, 2960, 454, 268, 667, 4900, 1465, 267, 10539, 454, 268, 17496, 2530, 454, 2252, 1973, 4006, 2157, 616, 1657, 476, 6110, 8406, 7933, 299, 543, 5749, 1406, 5355, 5103, 2126, 610, 7840, 689, 707, 3782, 8502, 267, 621, 779, 4105, 547, 3343, 6595, 2564, 1416, 1318, 2476, 547, 2061, 15847, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 563, 12507, 13501, 1973, 4006, 2157, 5781, 568, 606, 7533, 851, 540, 5883, 3987, 547, 2061, 891, 5686, 540, 1272, 18446, 2175, 563, 8005, 568, 693, 1981, 540, 15847, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 888, 10144, 609, 29252, 3987, 4043, 547, 581, 811, 693, 1981, 585, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 269, 4033, 1981, 2188, 1331, 912, 268, 589, 17173, 2680, 971, 607, 3968, 267, 2295, 4323, 267, 8482, 267, 610, 2487, 6391, 454, 268, 9839, 5821, 454, 268, 6764, 8529, 2702, 547, 3713, 19818, 454, 268, 17290, 1569, 547, 1216, 630, 18034, 538, 1004, 609, 12110, 610, 945, 616, 5127, 20129, 994, 268, 24771, 2085, 454, 268, 18648, 8459, 1599, 454, 268, 18648, 2359, 540, 3987, 267, 711, 1739, 519, 2126, 1544, 607, 9859, 454, 268, 17547, 4771, 7378, 610, 824, 11955, 602, 2539, 7280, 1377, 454, 1432, 4523, 952, 2576, 10953, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 888, 2252, 15860, 267, 15847, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 666, 1291, 547, 1272, 18446, 8374, 563, 268, 681, 4725, 3256, 344, 565, 1736, 267, 799, 568, 606, 2333, 538, 1525, 710, 8485, 758, 514, 848, 2157, 267, 666, 3614, 675, 519, 14401, 269, 681, 4725, 3256, 344, 565, 1736, 4386, 950, 513, 8697, 4887, 568, 7745, 1524, 543, 13788, 519, 18072, 267, 799, 568, 2182, 593, 519, 14401, 269, 1323, 8650, 8459, 5945, 666, 2154, 30674, 543, 2110, 3856, 31533, 543, 949, 2333, 519, 10171, 540, 3384, 5312, 8459, 2068, 2663, 593, 563, 268, 24583, 13887, 30046, 568, 513, 1360, 4686, 855, 14603, 28658, 540, 15847, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 269, 898, 4386, 950, 1973, 4006, 2157, 616, 22485, 1932, 3533, 267, 799, 666, 2014, 11926, 538, 519, 2634, 563, 268, 26590, 7929, 11605, 6794, 630, 2752, 9169, 264, 568, 1776, 4686, 855, 5906, 1761, 28658, 540, 670, 9391, 269, 4706, 7271, 3884, 1406, 3833, 2312, 855, 568, 2219, 547, 2049, 689, 519, 4028, 15494, 540, 1973, 4006, 2157, 543, 4611, 2604, 2242, 538, 519, 1560, 563, 268, 5082, 26299, 974, 17244, 666, 2049, 1282, 519, 15494, 540, 1164, 1973, 4006, 267, 2356, 3842, 28720, 7378, 269, 4658, 1373, 5701, 585, 670, 9391, 616, 16913, 5702, 547, 2057, 2042, 689, 31925, 1973, 4006, 2157, 1932, 6385, 563, 268, 10552, 28163, 616, 811, 2693, 547, 2049, 1813, 547, 15466, 2242, 689, 670, 9391, 269, 4658, 945, 2907, 723, 19473, 29912, 630, 25975, 559, 16632, 540, 15799, 538, 519, 16209, 264, 616, 1256, 811, 2693, 547, 1020, 28163, 269, 4658, 609, 3987, 616, 2907, 693, 2799, 1981, 540, 19473, 29912, 543, 2295, 2068, 269, 10552, 28163, 616, 5732, 14686, 607, 789, 666, 2014, 2295, 4323, 543, 8482, 563, 13312, 12185, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 568, 2356, 5701, 1369, 513, 1906, 3108, 269, 670, 9391, 568, 5701, 609, 912, 268, 2271, 571, 27281, 12862, 547, 4831, 18024, 454, 268, 2271, 571, 27281, 7378, 547, 2539, 707, 1973, 4006, 2157, 454, 268, 2271, 571, 27281, 11379, 267, 543, 12212, 9770, 19552, 10682, 547, 948, 2281, 1599, 7157, 454, 268, 9615, 540, 1022, 5817, 2014, 540, 670, 9391, 267, 971, 607, 5563, 610, 5312, 3676, 454, 32513, 636, 23386, 2157, 616, 16913, 547, 2327, 789, 2887, 1394, 547, 3339, 9832, 1310, 2126, 609, 7378, 30376, 543, 5714, 759, 19895, 2787, 269, 589, 22621, 16796, 9770, 1377, 666, 581, 1031, 538, 519, 2013, 540, 5409, 16744, 20945, 2094, 621, 666, 7369, 891, 23386, 2157, 563, 1692, 666, 596, 2061, 519, 1646, 540, 5409, 16744, 23303, 5409, 657, 332, 6897, 6794, 888, 268, 6744, 1973, 4006, 2157, 5781, 952, 596, 723, 3987, 269, 16424, 1973, 4006, 2157, 666, 948, 2697, 950, 789, 616, 8375, 543, 666, 1291, 547, 5401, 2126, 267, 7551, 5732, 9319, 670, 9391, 563, 268, 6875, 6527, 607, 11311, 269, 17547, 4771, 3987, 6527, 666, 2014, 606, 14432, 2333, 538, 1973, 7280, 2157, 543, 1291, 547, 670, 9391, 269, 11408, 3717, 547, 707, 4387, 827, 707, 6646, 20786, 563, 268, 23423, 15568, 19719, 543, 3773, 4006, 269, 4676, 1441, 11950, 267, 971, 607, 3043, 3694, 543, 23353, 18437, 267, 4043, 547, 6318, 1973, 4006, 2157, 269, 5502, 540, 7446, 3043, 7912, 19841, 878, 1117, 9274, 267, 1904, 585, 2898, 9274, 543, 1164, 1922, 9200, 3536, 547, 948, 3895, 811, 7059, 1973, 14836, 269, 16639, 899, 2898, 2914, 17742, 3694, 267, 27046, 22596, 267, 543, 6960, 7573, 6318, 1973, 4006, 811, 7444, 267, 799, 6971, 519, 21782, 538, 1973, 4006, 602, 666, 1291, 547, 1973, 4006, 20817, 563, 268, 16202, 513, 1164, 1922, 9200, 2732, 269, 7233, 2861, 3536, 3638, 538, 6775, 4043, 547, 6318, 1973, 4006, 2157, 811, 7444, 982, 1970, 1922, 9200, 2030, 2861, 3536, 269, 27438, 568, 538, 3536, 971, 607, 5613, 267, 5388, 267, 9274, 267, 10808, 267, 5452, 267, 543, 22053, 269, 589, 1164, 1922, 9200, 2732, 814, 1044, 2404, 609, 513, 8519, 1981, 540, 1826, 476, 273, 3987, 269, 13667, 585, 476, 1789, 10101, 540, 6775, 829, 1554, 563, 268, 27276, 811, 1216, 269, 590, 1872, 776, 16098, 616, 835, 540, 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 ]
[ 3374, 284, 736, 284, 271, 17961, 9387, 15857, 343, 317, 273, 266, 273, 343, 268, 1428, 261, 815, 736, 11138, 1535, 317, 273, 266, 273, 343, 268, 3374, 261, 815, 271, 17910, 9387, 265, 10926, 15542, 528, 676, 4466, 1079, 2338, 602, 9062, 547, 910, 3374, 543, 1039, 547, 476, 273, 269, 5903, 930, 2338, 602, 9062, 547, 910, 3374, 1384, 31874, 276, 284, 4037, 284, 278, 263, 276, 264, 663, 663, 278, 266, 276, 284, 2767, 23444, 276, 6661, 273, 17961, 9387, 15857, 268, 3374, 17851, 910, 278, 1422, 10383, 476, 276, 30974, 1422, 3667, 346, 663, 348, 30974, 910, 278, 1341, 476, 276, 815, 910, 273, 8607, 910, 3374, 17851, 476, 278, 1422, 10383, 11196, 276, 264, 30974, 1422, 3667, 346, 663, 348, 30974, 476, 278, 1341, 11196, 276, 264, 815, 476, 273, 17910, 9387, 265, 10926, 763, 4082, 2188, 607, 1422, 8218, 9387, 265, 12917, 343, 266, 278, 7565, 343, 268, 276, 6661, 271, 17910, 9387, 15857, 780, 13729, 1142, 2165, 3160, 547, 4642, 543, 4194, 1384, 17961, 9387, 15857, 261, 1535, 266, 278, 284, 271, 30974, 261, 261, 1535, 268, 276, 284, 271, 11138, 1299, 30974, 1422, 3667, 346, 528, 27874, 1299, 1422, 8974, 1467, 3189, 8974, 1467, 12757, 15871, 278, 3686, 30974, 261, 261, 1422, 8974, 1467, 3189, 8974, 1467, 12757, 284, 276, 14990, 754, 9387, 265, 10926, 7712, 649, 616, 3168, 585, 2318, 2338, 519, 2626, 1590, 581, 1422, 8218, 9387, 15857, 343, 815, 476, 276, 17910, 9387, 15857, 269, 1924, 519, 8700, 568, 1422, 8218, 9387, 15857, 343, 910, 476, 274, 815, 476, 273, 17910, 9387, 15857, 543, 519, 3259, 568, 1422, 8218, 9387, 15857, 343, 1341, 476, 276, 815, 476, 1015, 17910, 9387, 15857, 780, 13425, 281, 1422, 8218, 9387, 15857, 273, 1422, 10383, 476, 1015, 815, 476, 736, 17910, 9387, 265, 9574, 865, 519, 2626, 11974, 780, 2162, 5623, 692, 24169, 519, 1739, 3498, 2042, 1384, 272, 269, 2290, 1850, 540, 513, 1318, 6906, 568, 476, 272, 3952, 3476, 982, 519, 824, 1850, 269, 634, 30494, 568, 476, 276, 269, 4855, 519, 7516, 540, 519, 1318, 6906, 563, 273, 269, 2290, 1850, 540, 513, 1318, 6906, 568, 476, 278, 3952, 3476, 982, 519, 824, 1850, 269, 634, 30494, 568, 476, 1724, 269, 4855, 519, 7516, 540, 519, 1318, 6906, 563, 274, 269, 589, 13551, 814, 5011, 540, 1422, 8218, 9387, 15857, 343, 1341, 476, 273, 17910, 9387, 15857, 543, 1422, 8218, 9387, 15857, 343, 910, 476, 272, 17910, 9387, 15857, 269, 1548, 1871, 540, 1422, 8218, 9387, 15857, 343, 17910, 9387, 15857, 3947, 606, 1858, 540, 476, 10482, 888, 275, 269, 589, 13551, 814, 5011, 540, 1422, 8218, 9387, 15857, 343, 910, 476, 272, 17910, 9387, 15857, 543, 1422, 8218, 9387, 15857, 343, 1341, 476, 272, 17910, 9387, 15857, 269, 1548, 1871, 540, 1422, 8218, 9387, 15857, 343, 17910, 9387, 15857, 3947, 606, 1858, 540, 476, 6344, 888, 276, 269, 634, 1587, 540, 1079, 2318, 2338, 568, 476, 6344, 269, 4855, 519, 1079, 2338, 952, 835, 2338, 568, 476, 278, 811, 982, 519, 824, 563, 277, 269, 589, 13551, 814, 513, 476, 2004, 20356, 15497, 269, 1548, 616, 519, 7516, 540, 519, 13551, 952, 621, 568, 476, 4097, 3952, 3476, 982, 621, 568, 2647, 888, 278, 269, 5565, 2318, 2338, 723, 513, 2040, 540, 476, 279, 267, 543, 741, 1587, 568, 3160, 547, 519, 3677, 1297, 7132, 476, 1015, 269, 1548, 616, 519, 2338, 888, 279, 269, 5565, 2318, 2338, 723, 513, 2040, 540, 476, 279, 267, 543, 741, 1587, 568, 3160, 547, 519, 4130, 1297, 7132, 476, 1015, 269, 1548, 616, 519, 2338, 888, 280, 269, 13368, 532, 654, 732, 5264, 3091, 513, 4605, 25194, 3028, 269, 634, 1942, 585, 25194, 513, 4605, 568, 1500, 909, 540, 1079, 2694, 281, 4837, 3790, 1269, 272, 829, 4009, 3723, 543, 519, 7406, 3790, 259, 273, 829, 3723, 269, 1403, 519, 7406, 814, 547, 581, 513, 4009, 267, 1018, 2450, 4605, 666, 596, 1205, 29600, 585, 8096, 736, 2496, 2162, 11872, 270, 11947, 7547, 11109, 8373, 286, 7797, 606, 3390, 780, 21760, 31209, 539, 7956, 11872, 692, 17004, 31674, 19672, 454, 20373, 454, 11795, 22187, 5426, 912, 288, 18308, 912, 30475, 912, 20428, 338, 281, 0, 1012, 6168, 834, 278, 628, 3446, 2979, 4976, 476, 276, 5016, 278, 628, 3446, 2979, 4976, 476, 276, 23241, 2080, 649, 616, 2469, 547, 1294, 476, 1015, 2259, 2055, 540, 6404, 3584, 269, 1284, 723, 1044, 8600, 713, 1305, 540, 2055, 538, 1931, 547, 1449, 875, 596, 6956, 519, 3584, 780, 1012, 6657, 2055, 540, 6404, 3584, 538, 476, 278, 628, 3446, 2979, 692, 9223, 476, 272, 23241, 763, 2837, 693, 476, 1321, 29869, 729, 476, 1015, 4113, 595, 1657, 4642, 28560, 621, 11081, 693, 519, 2557, 540, 476, 273, 9180, 829, 5662, 2394, 28813, 267, 693, 1018, 942, 1131, 519, 2837, 581, 476, 279, 9180, 2630, 4642, 2496, 10490, 264, 1741, 1109, 274, 10681, 1109, 7545, 476, 1109, 16360, 264, 1109, 476, 280, 10681, 1109, 7545, 5231, 630, 290, 264, 1109, 476, 279, 10681, 692, 9223, 476, 273, 23241, 2304, 30981, 1232, 1742, 883, 513, 9553, 14788, 693, 519, 2557, 540, 476, 277, 544, 26553, 28560, 519, 7771, 6238, 689, 476, 1015, 544, 1657, 519, 2666, 1377, 269, 12433, 875, 1279, 786, 621, 1491, 547, 3914, 910, 12573, 544, 26042, 10490, 264, 1109, 476, 272, 5662, 1109, 14632, 5231, 630, 289, 264, 1109, 476, 276, 3108, 1109, 14632, 30336, 1109, 18154, 264, 1109, 476, 273, 3108, 692, 9223, 476, 274, 23241, 1692, 1454, 1447, 568, 476, 2764, 5998, 982, 476, 5379, 269, 273, 5998, 2496, 10490, 264, 1109, 476, 1240, 269, 273, 5998, 1109, 30336, 1109, 16360, 264, 1109, 476, 1691, 269, 277, 5998, 1109, 30336, 1109, 18154, 264, 1109, 476, 1321, 269, 276, 5998, 692, 9223, 476, 275, 23241, 24169, 476, 276, 335, 1341, 476, 273, 815, 476, 1704, 692, 10490, 264, 1109, 476, 1109, 335, 815, 476, 273, 1109, 7545, 5231, 630, 289, 264, 533, 815, 476, 276, 1109, 7545, 30336, 1109, 18154, 264, 1109, 533, 815, 476, 274, 692, 9223, 476, 276, 23241, 2691, 1079, 3515, 561, 543, 544, 2743, 267, 649, 2161, 789, 12969, 267, 519, 5870, 1448, 568, 1572, 519, 12843, 1029, 692, 10490, 264, 8672, 540, 3346, 692, 16360, 264, 8672, 540, 10167, 692, 18154, 264, 1109, 7183, 540, 891, 692, 9223, 476, 277, 23241, 8340, 519, 1871, 540, 1535, 538, 519, 1739, 6906, 692, 10490, 264, 1741, 1109, 2004, 4113, 1109, 5231, 630, 289, 264, 1741, 1109, 3583, 4113, 1109, 476, 1109, 18154, 264, 1741, 1109, 3199, 4113, 692, 9223, 476, 278, 23241, 763, 2551, 540, 513, 2749, 4389, 689, 476, 1839, 267, 1822, 547, 476, 2190, 267, 4335, 269, 4855, 519, 6871, 6175, 780, 10490, 264, 1109, 476, 1109, 276, 260, 1109, 7545, 5231, 630, 289, 264, 1109, 476, 273, 260, 1109, 14632, 30336, 1109, 18154, 264, 1109, 476, 272, 30515, 9223, 476, 279, 23241, 288, 5911, 568, 538, 519, 3337, 540, 4009, 540, 2427, 476, 1015, 4699, 269, 1403, 519, 5911, 568, 6450, 550, 538, 547, 513, 13551, 3259, 476, 1321, 4699, 267, 5173, 922, 8700, 780, 10490, 264, 1109, 476, 1109, 3374, 260, 1109, 7545, 476, 1109, 16360, 264, 1109, 476, 1109, 2767, 260, 1109, 7545, 630, 290, 264, 1109, 476, 4037, 30515, 9223, 476, 280, 23241, 10521, 5011, 540, 513, 25521, 13235, 291, 616, 476, 277, 9492, 543, 476, 275, 9492, 269, 634, 4463, 7222, 547, 519, 3490, 540, 7131, 568, 476, 274, 4699, 269, 4855, 519, 1858, 540, 519, 25521, 692, 10490, 264, 1109, 1109, 278, 4699, 273, 1109, 14632, 476, 1109, 16360, 264, 1741, 1109, 1428, 4699, 273, 1109, 14632, 30336, 1109, 18154, 264, 1741, 1109, 1240, 4699, 273, 692, 23921, 3070, 692, 9223, 476, 1015, 23241, 291, 3554, 2678, 540, 513, 9764, 4677, 568, 476, 280, 269, 279, 544, 269, 12433, 922, 1858, 780, 10490, 264, 1109, 476, 2004, 4699, 1109, 7545, 476, 1109, 16360, 264, 1109, 476, 5038, 4699, 1109, 7545, 630, 290, 264, 1109, 476, 1109, 1789, 4699, 692, 23921, 3070, 692, 5475, 2348, 8854, 998, 519, 8631, 2016, 1657, 267, 649, 4126, 602, 519, 1053, 1131, 723, 6956, 834, 278, 628, 3446, 2979, 4976, 476, 276, 6231, 30509, 689, 519, 8631, 2016, 1657, 267, 952, 596, 1616, 547, 917, 811, 827, 834, 278, 628, 3446, 2979, 4976, 476, 276, 2580, 1109, 921, 848, 4945, 1934, 692, 30509, 689, 519, 8631, 267, 952, 596, 991, 1022, 824, 8631, 538, 2979, 267, 5225, 946, 938, 24440, 2688, 3406, 1934, 780, 12487, 7876, 19410, 13340, 568, 15205, 8292, 13718, 2791, 666, 849, 3643, 938, 1739, 1357, 3817, 593, 1114, 8631, 538, 2979, 780, 310, 16704, 11550, 25770, 5960, 692, 17504, 2042, 593, 2241, 4834, 692, 17504, 2042, 593, 5276, 4834, 692, 17504, 2042, 593, 13392, 4834, 692, 31580, 2262, 2042, 692, 17504, 2042, 593, 14884, 692, 22704, 543, 15943, 2262, 2042, 692, 17504, 2042, 593, 1463, 8390, 543, 11201, 8390, 692, 17504, 2042, 593, 1770, 3902, 692, 17504, 2042, 593, 1770, 2557, 692, 17504, 2042, 593, 9236, 3928, 692, 3519, 31844, 22232, 4559, 2262, 2042, 692, 3519, 31844, 11973, 4559, 2262, 2042, 692, 17504, 2042, 593, 2241, 1719, 692, 17504, 2042, 593, 7623, 1719, 692, 17504, 2042, 593, 2010, 540, 7285, 692, 4467, 921, 29232, 543, 24045, 7285, 2262, 2042, 692, 291, 19302, 5013, 2262, 2042, 692, 307, 3419, 517, 5852, 2262, 2042, 692, 8110, 1417, 720, 2262, 2042, 692, 3682, 7257, 543, 2530, 2262, 2042, 692, 15812, 1575, 543, 1665, 6658, 2262, 2042, 692, 13356, 2711, 2262, 2042, 692, 17504, 2042, 593, 8454, 692, 17504, 2042, 593, 6404, 5762, 337, 687, 692, 3080, 1900, 3830, 2262, 2042, 692, 30791, 16526, 2262, 2042, 692, 305, 26559, 543, 8167, 2262, 2042, 692, 11742, 543, 960, 2262, 2042, 692, 17504, 2042, 593, 5036, 543, 642, 3317, 12222, 692, 17504, 2042, 593, 6502, 692, 303, 17233, 17671, 11532, 2262, 2042, 692, 8110, 1417, 540, 513, 1297, 2262, 2042, 692, 17504, 2042, 593, 3586, 3432, 692, 17504, 2042, 593, 3328, 3432, 692, 17504, 2042, 593, 2040, 540, 519, 7285, 540, 513, 6906, 568, 476, 5197, 4110, 692, 30862, 2207, 570, 8008, 12903, 692, 3682, 7257, 543, 2530, 31930, 692, 8110, 1417, 720, 31930, 692, 307, 1307, 3349, 31930, 692, 11742, 267, 3432, 543, 3845, 31930, 692, 305, 26559, 543, 8167, 31930, 692, 291, 558, 664, 543, 2039, 540, 7787, 3252, 692, 291, 558, 664, 543, 2039, 540, 7787, 3252, 609, 9475, 692, 20877, 532, 7787, 3252, 692, 20877, 532, 7787, 3252, 609, 9475, 692, 3519, 31844, 18110, 17447, 538, 547, 8454, 692, 13356, 2711, 6041, 540, 7787, 2338, 692, 23804, 4009, 3597, 1210, 1279, 6498, 692, 299, 5861, 8160, 1505, 547, 4194, 942, 543, 960, 2042, 692, 9558, 331, 908, 519, 2262, 2042, 538, 547, 15821, 7215, 692, 7230, 664, 1457, 950, 476, 273, 1379, 476, 16348, 568, 5258, 676, 476, 1704, 692, 7230, 664, 1457, 950, 476, 1704, 1379, 476, 2537, 568, 5258, 676, 476, 1626, 692, 11764, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 277, 692, 11764, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 278, 692, 11764, 540, 782, 1614, 7857, 2338, 16883, 676, 476, 279, 692, 11764, 540, 782, 1614, 7857, 2338, 4646, 1210, 476, 272, 267, 476, 274, 267, 476, 275, 692, 11764, 540, 782, 1614, 2185, 7857, 2338, 4646, 609, 1875, 4642, 9704, 692, 11764, 540, 782, 1614, 2185, 7857, 2338, 4646, 1210, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 692, 11764, 540, 782, 1614, 2185, 7857, 2338, 4646, 1210, 476, 272, 267, 476, 273, 267, 476, 276, 267, 476, 277, 0, 22349, 25348, 735, 1564, 519, 9997, 547, 1413, 20733, 543, 5012, 721, 689, 713, 1158, 547, 1776, 780, 258, 12071, 343, 692, 1692, 547, 7893, 519, 1648, 3977, 540, 513, 5182, 936, 942, 692, 24309, 1635, 593, 538, 9891, 8212, 476, 272, 692, 27543, 1913, 267, 6059, 2542, 942, 476, 273, 3764, 780, 293, 12999, 568, 513, 2165, 1031, 547, 4766, 519, 21386, 540, 513, 5182, 543, 568, 513, 2268, 540, 519, 2698, 1648, 689, 606, 1843, 829, 1770, 1858, 936, 942, 269, 12071, 343, 9273, 616, 1031, 547, 5173, 24788, 13920, 267, 513, 811, 6209, 6041, 540, 513, 5182, 781, 21386, 780, 7072, 547, 18395, 10022, 454, 763, 769, 2091, 12384, 4521, 692, 293, 12999, 630, 293, 264, 568, 23963, 3989, 607, 834, 1492, 2698, 2095, 540, 1769, 1648, 13902, 569, 15385, 513, 1770, 1858, 829, 1770, 942, 2668, 12071 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]