Datasets:
SmallDoge
/
stable_dataset_processed

Dataset card Data Studio Files
xet
Community
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 2496, 2162, 6496, 901, 14675, 827, 9406, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2750, 8533, 891, 9193, 269, 1684, 789, 3280, 827, 1318, 2496, 2162, 4325, 9037, 28788, 2284, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 10521, 14884, 1305, 1055, 693, 519, 1482, 942, 689, 1142, 1439, 540, 513, 2582, 2786, 16749, 1899, 269, 589, 1360, 3728, 13520, 6238, 1055, 538, 4395, 540, 519, 1101, 5721, 543, 13733, 11179, 1394, 543, 8521, 1063, 519, 269, 1547, 1547, 16317, 2162, 5794, 715, 1115, 692, 7462, 8609, 281, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 4692, 596, 3308, 1047, 2436, 891, 24437, 16784, 909, 883, 476, 274, 291, 5546, 286, 13772, 519, 7044, 1142, 942, 547, 1294, 952, 596, 941, 2953, 780, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 3674, 621, 14949, 547, 3434, 513, 7594, 689, 15072, 610, 547, 4444, 513, 4712, 7594, 286, 1548, 3017, 1281, 519, 1297, 540, 1004, 596, 2811, 5986, 585, 1118, 2496, 2162, 13174, 674, 14525, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 5331, 1114, 8032, 8043, 1373, 4904, 269, 2052, 596, 960, 856, 1018, 519, 11708, 540, 519, 1216, 1377, 1058, 1413, 899, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4692, 596, 960, 856, 799, 4235, 814, 519, 6793, 30993, 2496, 2162, 1772, 6248, 14301, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 18439, 519, 3601, 540, 568, 6248, 12400, 780, 2162, 654, 3558, 781, 24051, 692, 7462, 8609, 281, 476, 274, 543, 476, 275, 7420, 5426, 1384, 1432, 5546, 1058, 4432, 569, 2759, 856, 547, 1118, 513, 18338, 781, 11058, 286, 1215, 666, 1352, 1118, 513, 26339, 11058, 2496, 2162, 1215, 14348, 1411, 24143, 898, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1103, 1203, 513, 18176, 1062, 585, 513, 1412, 29674, 519, 2597, 262, 6735, 780, 2162, 18237, 23346, 31396, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 13014, 707, 1378, 8930, 23346, 8254, 585, 2922, 8343, 540, 519, 3141, 267, 543, 1265, 856, 875, 621, 1568, 780, 2162, 28688, 595, 820, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 2252, 594, 1810, 1405, 723, 519, 2450, 540, 14735, 17646, 9138, 538, 1250, 11600, 267, 786, 519, 2450, 594, 798, 723, 581, 15528, 2496, 2162, 16727, 21474, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 4322, 16727, 9424, 723, 1044, 795, 14217, 909, 256, 2052, 596, 2322, 873, 1394, 1927, 1586, 2496, 2162, 5269, 2659, 13574, 6755, 4290, 8865, 692, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 1432, 3337, 1131, 3514, 707, 23445, 543, 22796, 1655, 286, 1215, 666, 596, 1118, 621, 2496, 2162, 5808, 781, 519, 7454, 2496, 7462, 8609, 281, 476, 274, 7420, 5426, 1384, 7617, 2477, 723, 519, 1034, 6923, 18942, 5095, 286, 0, 258, 6871, 2243, 692, 1892, 3967, 476, 1321, 628, 476, 1220, 280, 267, 476, 1321, 281, 2004, 6751, 454, 306, 5652, 5839, 298, 28225, 454, 704, 1417, 720, 2243, 454, 3725, 557, 9405, 585, 2852, 2979, 13307, 1449, 602, 1163, 1600, 1310, 513, 1032, 543, 991, 547, 1427, 820, 621, 269, 865, 2324, 593, 2259, 4255, 11489, 1775, 666, 4628, 581, 6899, 269, 594, 993, 29695, 693, 2979, 267, 543, 2141, 723, 547, 1832, 2124, 541, 940, 269, 898, 781, 2141, 1044, 1250, 23698, 1641, 780, 257, 27746, 814, 3144, 1614, 4255, 609, 9344, 540, 476, 6812, 9077, 476, 7830, 9077, 543, 476, 5038, 10065, 1548, 1281, 1352, 991, 547, 6060, 593, 1449, 476, 275, 547, 3328, 4010, 476, 6924, 260, 593, 782, 2185, 4255, 12482, 296, 4312, 6836, 8380, 519, 21159, 538, 1250, 9498, 607, 17447, 543, 4946, 873, 834, 269, 6812, 266, 269, 7830, 266, 269, 5038, 284, 272, 269, 10019, 5016, 296, 4312, 6836, 8380, 519, 21159, 538, 1250, 9498, 607, 17447, 543, 12270, 873, 834, 269, 6812, 28918, 7830, 28918, 5038, 284, 272, 269, 5379, 272, 7597, 274, 276, 4366, 5016, 257, 834, 14921, 873, 834, 269, 6812, 29688, 7830, 29688, 5038, 284, 269, 15996, 13893, 5016, 296, 917, 18946, 873, 1131, 1291, 547, 4986, 780, 296, 4312, 6836, 8380, 519, 21159, 607, 17447, 267, 4946, 873, 543, 11362, 676, 476, 275, 348, 834, 269, 6812, 266, 269, 7830, 266, 269, 5038, 270, 275, 284, 272, 269, 3607, 5016, 296, 4312, 2944, 834, 9230, 6812, 270, 1911, 7565, 7830, 270, 1911, 7565, 5038, 270, 1911, 4297, 270, 275, 284, 269, 5379, 5016, 296, 666, 1405, 3100, 547, 3314, 875, 547, 960, 519, 1966, 543, 1205, 519, 1318, 2626, 780, 30995, 14188, 596, 865, 1454, 585, 2921, 519, 942, 547, 1224, 1250, 2022, 543, 13059, 1022, 5796, 593, 1250, 1966, 693, 1688, 256, 815, 291, 454, 1892, 3967, 476, 1321, 628, 476, 1220, 280, 267, 476, 6349, 281, 6795, 6751, 454, 560, 19125, 454, 32621, 1384, 23192, 17397, 676, 21708, 5839, 298, 28225, 454, 257, 27746, 814, 3144, 1614, 4255, 609, 9344, 540, 476, 6812, 9077, 476, 7830, 9077, 543, 476, 5038, 10065, 1548, 1281, 1352, 991, 547, 6060, 593, 1449, 476, 275, 547, 3328, 4010, 476, 6924, 260, 593, 782, 2185, 4255, 12482, 4131, 1142, 1449, 581, 4502, 513, 4627, 2798, 269, 1215, 1082, 2798, 1281, 1352, 723, 865, 2484, 2496, 1692, 1082, 2798, 616, 2009, 630, 817, 11167, 3501, 8464, 593, 3388, 264, 593, 519, 2185, 4255, 1927, 2496, 2252, 1352, 6499, 476, 6924, 260, 2949, 267, 875, 1082, 540, 1346, 2798, 1590, 1352, 7118, 2496, 11693, 1200, 1699, 1448, 2698, 543, 1200, 5551, 1448, 2698, 267, 875, 1082, 811, 2798, 1281, 1352, 991, 2496, 10190, 1018, 6871, 1281, 1352, 991, 593, 519, 2063, 1449, 2496, 5970, 1187, 256, 2433, 291, 454, 1892, 3967, 476, 1321, 628, 476, 1220, 280, 267, 476, 6734, 281, 2420, 6751, 454, 332, 337, 9735, 454, 32621, 1384, 23192, 17397, 676, 21708, 5839, 298, 28225, 454, 3725, 557, 9405, 585, 2852, 2979, 13307, 1449, 602, 1163, 1600, 1310, 513, 1032, 543, 991, 547, 1427, 820, 621, 269, 865, 2324, 593, 2259, 4255, 11489, 1775, 666, 4628, 581, 6899, 269, 594, 993, 29695, 693, 2979, 267, 543, 2141, 723, 547, 1832, 2124, 541, 940, 269, 898, 781, 2141, 1044, 1250, 23698, 1641, 780, 257, 27746, 814, 3144, 1614, 4255, 609, 9344, 540, 476, 6812, 9077, 476, 7830, 9077, 543, 476, 5038, 10065, 1548, 1281, 1352, 991, 547, 6060, 593, 1449, 476, 275, 547, 3328, 4010, 476, 6924, 260, 593, 782, 2185, 4255, 12482, 314, 338, 30876, 6540, 24169, 4399, 6234, 1422, 2765, 346, 6812, 1341, 476, 7830, 1341, 476, 5038, 1341, 1535, 2410, 275, 348, 815, 476, 6924, 259, 585, 4399, 6234, 1535, 259, 630, 817, 11167, 782, 4255, 4163, 3160, 2597, 1040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2994, 610, 3180, 3606, 3854, 547, 2061, 14042, 9271, 607, 568, 519, 1455, 2259, 538, 22778, 807, 269, 16840, 540, 519, 3864, 3590, 540, 6239, 24434, 2348, 7550, 519, 20789, 991, 711, 3180, 519, 1377, 540, 14425, 789, 4371, 1991, 547, 519, 4367, 540, 519, 20789, 267, 799, 814, 3366, 717, 4592, 543, 5576, 3426, 339, 630, 1960, 280, 264, 547, 8044, 602, 789, 616, 936, 5115, 1388, 1242, 543, 547, 1289, 585, 513, 1713, 5786, 538, 741, 4914, 7221, 563, 290, 269, 27308, 5685, 3496, 12411, 639, 1234, 5115, 1388, 1436, 454, 288, 2197, 609, 513, 3844, 4871, 7092, 689, 1804, 2942, 2121, 4502, 8188, 513, 3903, 1063, 14304, 519, 3666, 6656, 610, 8720, 9271, 593, 513, 6666, 2095, 4493, 689, 519, 1726, 21204, 269, 634, 8545, 4781, 568, 513, 7928, 4183, 540, 3844, 4871, 1876, 269, 1280, 1383, 267, 519, 1007, 630, 1220, 273, 264, 5214, 1876, 585, 519, 6239, 7813, 540, 30188, 814, 513, 2312, 11865, 8720, 2665, 1141, 519, 7813, 23119, 9271, 602, 621, 3112, 3382, 609, 1378, 14425, 269, 769, 713, 2680, 267, 519, 12080, 540, 5398, 5685, 1734, 1058, 10505, 538, 519, 8908, 6578, 1876, 513, 11556, 547, 3382, 519, 9271, 998, 519, 11865, 540, 2344, 762, 1719, 12946, 7963, 547, 519, 6239, 7813, 538, 519, 1739, 16642, 1032, 269, 901, 1826, 540, 3070, 568, 1018, 29885, 630, 1220, 271, 1070, 538, 1010, 5796, 547, 519, 7813, 267, 1572, 606, 968, 2246, 11703, 892, 973, 777, 1388, 1436, 540, 519, 6239, 7813, 543, 799, 646, 12592, 689, 519, 2956, 540, 5248, 908, 713, 3390, 689, 519, 6986, 2110, 3856, 2797, 26750, 563, 3080, 7411, 609, 13461, 593, 19132, 4805, 568, 602, 1726, 553, 3753, 616, 10355, 865, 8465, 602, 789, 666, 581, 3177, 593, 513, 12905, 4493, 269, 7871, 589, 6578, 776, 14305, 568, 7363, 2838, 543, 621, 3622, 568, 711, 2009, 547, 721, 584, 335, 519, 3656, 5943, 540, 606, 17101, 6578, 1876, 998, 606, 608, 24970, 10421, 602, 3844, 4871, 9271, 581, 4988, 269, 4935, 538, 519, 2013, 540, 30188, 267, 4352, 519, 2804, 1106, 540, 519, 973, 777, 1388, 1436, 568, 3833, 5693, 25250, 856, 267, 519, 3656, 10421, 568, 585, 519, 6554, 547, 10505, 9086, 267, 711, 1780, 9086, 269, 4935, 267, 519, 10171, 540, 8574, 540, 519, 9086, 568, 5693, 1641, 547, 519, 786, 540, 519, 9777, 2209, 693, 519, 4090, 519, 6578, 568, 9516, 543, 1281, 711, 4096, 9003, 593, 519, 6554, 1256, 952, 1134, 9837, 539, 7918, 563, 288, 2034, 6161, 1131, 581, 602, 941, 519, 1726, 21204, 547, 723, 6190, 24787, 547, 2508, 9271, 593, 513, 12905, 4493, 267, 713, 1131, 849, 2303, 621, 1131, 723, 24787, 547, 1852, 519, 2450, 543, 12557, 540, 519, 19132, 799, 538, 1198, 1131, 1747, 13075, 3609, 538, 519, 3946, 540, 519, 1726, 21204, 2864, 982, 519, 3844, 4871, 269, 1403, 12250, 7115, 568, 5551, 585, 519, 3844, 4871, 267, 621, 568, 2352, 547, 1294, 875, 713, 666, 581, 9738, 950, 519, 3844, 4871, 12346, 593, 519, 3586, 1434, 15884, 540, 519, 1726, 21204, 547, 22738, 3609, 6388, 563, 1103, 12570, 519, 3017, 1063, 8720, 9271, 593, 513, 13350, 4493, 543, 998, 513, 26686, 1606, 636, 973, 777, 1388, 1436, 267, 835, 949, 2015, 519, 1739, 3510, 269, 14597, 267, 538, 1931, 547, 3035, 922, 3902, 6617, 3804, 267, 519, 3844, 4871, 1590, 4309, 2901, 606, 5993, 4483, 540, 2229, 19736, 3160, 547, 2473, 610, 513, 835, 942, 4483, 540, 519, 1459, 31680, 1871, 540, 519, 6908, 540, 2473, 338, 998, 942, 267, 962, 269, 769, 519, 8545, 2013, 267, 519, 3844, 4871, 1131, 3390, 519, 19736, 607, 2877, 547, 519, 2344, 269, 634, 6578, 776, 1764, 593, 519, 19597, 730, 1857, 5823, 1131, 581, 9838, 538, 1312, 2665, 269, 769, 519, 5993, 4483, 2013, 267, 519, 3844, 4871, 1131, 5612, 3390, 519, 2229, 19736, 8754, 519, 6578, 1764, 1131, 581, 6697, 547, 519, 7963, 3028, 593, 519, 11843, 19736, 269, 769, 519, 2034, 2013, 267, 519, 22194, 7963, 3028, 593, 519, 2229, 19736, 1131, 581, 1454, 3677, 855, 519, 5666, 538, 4430, 540, 519, 7274, 9783, 547, 519, 4357, 5823, 1131, 2611, 538, 519, 1857, 5823, 543, 519, 7390, 656, 4747, 11843, 1394, 547, 519, 2229, 693, 519, 1439, 540, 519, 2883, 1032, 563, 763, 26686, 1606, 636, 973, 777, 1388, 1436, 10123, 2488, 513, 5365, 540, 519, 2229, 779, 7029, 547, 1450, 519, 3844, 4871, 519, 2883, 7872, 547, 2936, 3617, 3609, 269, 17957, 267, 519, 5821, 547, 1683, 519, 2200, 968, 1575, 4395, 5608, 2016, 602, 519, 2121, 2883, 1764, 593, 519, 1857, 5823, 568, 562, 559, 267, 1223, 1152, 1289, 883, 2243, 519, 2229, 779, 1279, 2165, 7029, 547, 519, 5993, 4483, 3609, 269, 901, 538, 2490, 1131, 1291, 547, 25949, 593, 519, 851, 540, 519, 1857, 607, 547, 519, 3844, 4871, 779, 3609, 12588, 269, 769, 2665, 1141, 519, 2229, 568, 3226, 7255, 827, 12018, 519, 1857, 779, 6788, 827, 519, 5420, 2165, 3609, 5943, 713, 10462, 1223, 581, 1360, 14427, 563, 763, 27069, 4901, 568, 5116, 538, 513, 6101, 2203, 538, 519, 14230, 540, 713, 3296, 269, 634, 2203, 14405, 689, 4446, 549, 543, 23583, 630, 2735, 274, 320, 261, 321, 264, 543, 568, 26922, 547, 7982, 639, 543, 3220, 858, 650, 630, 2735, 276, 1040, 634, 2489, 7291, 568, 602, 519, 2229, 16858, 547, 22738, 513, 2883, 6963, 799, 568, 3144, 547, 581, 513, 5786, 538, 519, 2557, 540, 10637, 269, 634, 3844, 4871, 568, 538, 513, 4617, 2883, 3510, 543, 568, 711, 5827, 540, 8744, 519, 2557, 540, 10637, 1524, 547, 519, 14909, 1377, 1510, 606, 30376, 540, 2229, 19736, 269, 2859, 17618, 267, 972, 568, 849, 519, 991, 585, 16642, 28051, 538, 519, 2949, 1857, 5823, 6589, 269, 9747, 649, 616, 711, 6340, 540, 513, 973, 777, 1388, 1436, 610, 16642, 19132, 585, 17033, 11413, 5301, 269, 4649, 454, 763, 2229, 814, 513, 3903, 1063, 22151, 519, 2838, 19736, 538, 513, 26686, 2040, 6752, 693, 519, 4098, 540, 519, 6963, 610, 22151, 1152, 519, 8766, 2179, 540, 19736, 2838, 1142, 942, 1974, 610, 6578, 776, 1032, 269, 1677, 6338, 519, 10206, 540, 17258, 267, 621, 568, 10924, 602, 519, 1857, 1281, 711, 917, 519, 3020, 6662, 1599, 540, 519, 2229, 543, 4061, 1590, 1106, 6788, 540, 2104, 2229, 3609, 593, 519, 4493, 540, 18106, 1344, 269, 1280, 16134, 267, 621, 568, 10924, 602, 519, 1857, 1281, 917, 519, 6662, 1599, 540, 519, 3844, 4871, 543, 602, 972, 616, 1152, 1079, 2009, 2010, 540, 2229, 267, 835, 602, 814, 519, 1482, 6662, 1599, 607, 519, 3844, 4871, 267, 519, 824, 799, 568, 21260, 538, 519, 2631, 602, 896, 1978, 6381, 621, 1131, 3442, 547, 3398, 2362, 10637, 982, 519, 824, 2229, 610, 6001, 519, 16642, 23061, 799, 538, 519, 2203, 666, 581, 2219, 540, 13974, 269, 2334, 568, 267, 519, 3903, 4756, 568, 519, 2557, 540, 10637, 855, 519, 6293, 568, 519, 7274, 540, 2229, 7554, 547, 3390, 547, 519, 3844, 4871, 1142, 1974, 799, 814, 513, 2229, 7963, 3028, 1942, 607, 1134, 607, 513, 13075, 29943, 269, 901, 8404, 568, 855, 835, 540, 1082, 585, 1519, 9983, 10637, 538, 519, 4389, 1106, 585, 519, 2229, 779, 6662, 1599, 269, 1452, 616, 5941, 14916, 11992, 538, 519, 3332, 543, 649, 8806, 946, 519, 1739, 912, 11027, 568, 3989, 607, 10637, 543, 12631, 324, 267, 4397, 10637, 267, 968, 328, 892, 568, 519, 4994, 585, 2229, 1826, 563, 763, 3070, 585, 519, 2229, 952, 713, 568, 513, 835, 22533, 3014, 568, 547, 1305, 12631, 815, 1979, 21669, 269, 21929, 6788, 609, 2347, 1344, 3340, 12631, 324, 815, 12631, 269, 1284, 1631, 1865, 519, 3510, 609, 519, 7872, 602, 972, 616, 1079, 2010, 540, 6608, 2901, 589, 610, 645, 563, 763, 2229, 666, 581, 835, 540, 1079, 2010, 269, 2290, 1826, 267, 1826, 589, 267, 568, 9244, 8149, 547, 519, 6963, 269, 2334, 568, 267, 789, 3409, 22678, 815, 476, 271, 269, 901, 2229, 786, 2141, 3442, 12631, 815, 476, 271, 607, 1131, 519, 3844, 4871, 563, 763, 824, 2229, 267, 1826, 645, 267, 814, 513, 9936, 536, 3436, 3436, 271, 269, 769, 1018, 5205, 267, 950, 519, 9936, 968, 321, 892, 568, 5018, 621, 2141, 4016, 547, 602, 540, 519, 1826, 645, 2229, 267, 4061, 621, 786, 1100, 3476, 581, 25436, 5296, 539, 269, 634, 2628, 4752, 585, 519, 1826, 645, 2229, 267, 950, 621, 5036, 12631, 815, 476, 271, 267, 543, 568, 4397, 547, 798, 865, 267, 568, 4642, 269, 634, 2628, 4752, 585, 519, 645, 2229, 950, 621, 23297, 922, 6099, 835, 22533, 3070, 267, 12631, 815, 536, 21669, 267, 950, 1004, 18783, 12631, 815, 476, 271, 568, 912, 3383, 519, 8789, 4640, 267, 952, 713, 941, 513, 2582, 3942, 3014, 267, 1131, 1289, 585, 2229, 589, 547, 1404, 12631, 815, 476, 271, 543, 585, 2229, 645, 547, 1404, 12631, 815, 536, 21669, 563, 763, 16148, 5506, 602, 519, 2229, 568, 540, 1826, 589, 568, 20922, 17328, 563, 31714, 2253, 519, 3014, 609, 513, 1991, 827, 519, 1826, 540, 2229, 602, 568, 538, 1379, 269, 634, 5250, 540, 891, 17028, 832, 568, 711, 24018, 563, 763, 1991, 568, 8242, 2687, 547, 7345, 525, 4341, 607, 1279, 607, 519, 2229, 779, 1826, 814, 711, 1044, 4625, 7000, 269, 630, 2252, 1826, 645, 568, 7000, 267, 519, 2203, 2458, 22663, 547, 519, 3501, 1344, 2013, 1040, 7345, 525, 4341, 10522, 912, 8489, 533, 271, 347, 321, 630, 339, 266, 272, 264, 568, 519, 5506, 602, 519, 2229, 540, 1826, 645, 1131, 1404, 12631, 815, 476, 271, 538, 512, 266, 272, 269, 5384, 568, 4994, 539, 676, 512, 1141, 512, 815, 570, 568, 519, 1101, 1974, 543, 512, 815, 476, 272, 519, 2063, 269, 4935, 512, 4564, 519, 1297, 540, 5712, 6967, 538, 519, 3014, 269, 18564, 602, 952, 533, 271, 347, 321, 630, 339, 264, 815, 476, 272, 1287, 17328, 630, 339, 264, 815, 17328, 6025, 266, 331, 1040, 1656, 267, 2094, 1022, 2557, 540, 10637, 3152, 982, 4642, 568, 4625, 13031, 267, 17328, 6025, 264, 815, 476, 271, 952, 693, 1022, 942, 267, 521, 267, 1991, 547, 512, 267, 12631, 4433, 264, 3436, 476, 271, 269, 901, 968, 3333, 17369, 892, 3932, 568, 519, 1267, 540, 1079, 10054, 267, 602, 519, 2229, 814, 3501, 1852, 936, 519, 2557, 540, 10637, 543, 602, 972, 616, 1152, 1079, 267, 3833, 1114, 267, 2010, 540, 6608, 563, 763, 28662, 5506, 267, 693, 1022, 942, 538, 519, 3014, 267, 602, 519, 2557, 540, 10637, 786, 581, 1305, 3160, 547, 4642, 568, 17328, 6025, 264, 1341, 533, 271, 347, 321, 6025, 264, 335, 321, 6025, 1040, 7316, 533, 271, 347, 321, 6025, 264, 568, 519, 5506, 602, 519, 2229, 540, 1826, 645, 786, 1305, 12631, 815, 476, 271, 538, 1974, 512, 269, 901, 11224, 17328, 6025, 264, 1341, 533, 271, 347, 321, 6025, 264, 1496, 272, 722, 496, 17328, 6025, 264, 4940, 4595, 1022, 3903, 540, 10637, 1657, 4642, 786, 7866, 519, 2229, 540, 1826, 645, 267, 952, 621, 16976, 547, 7866, 3294, 621, 786, 3442, 519, 6099, 1377, 540, 10637, 267, 536, 21669, 269, 4475, 267, 519, 5506, 602, 519, 2557, 540, 10637, 786, 581, 3160, 547, 536, 21669, 568, 476, 272, 722, 496, 17328, 6025, 264, 910, 533, 271, 347, 321, 6025, 264, 1496, 272, 722, 496, 17328, 6025, 264, 4940, 898, 1287, 5205, 602, 519, 4397, 1871, 540, 519, 2557, 540, 10637, 538, 1022, 1974, 568, 912, 1607, 267, 1287, 267, 568, 519, 1259, 1004, 1106, 6788, 540, 10637, 2059, 519, 11466, 2619, 563, 763, 2229, 540, 1826, 589, 786, 1305, 519, 2557, 540, 10637, 3160, 547, 4642, 585, 1142, 1974, 269, 898, 568, 8149, 547, 519, 4341, 269, 634, 1034, 7294, 4640, 568, 602, 540, 519, 2229, 540, 1826, 645, 269, 898, 568, 1336, 676, 2324, 16571, 1947, 689, 519, 1439, 540, 519, 3014, 269, 634, 2229, 779, 4640, 693, 942, 476, 272, 267, 519, 2063, 1404, 540, 519, 3014, 267, 568, 2312, 269, 898, 786, 2141, 1305, 519, 1377, 540, 10637, 3160, 547, 536, 21669, 269, 634, 3375, 5185, 676, 519, 2229, 538, 519, 1985, 547, 2063, 1974, 267, 1974, 476, 273, 267, 568, 519, 1739, 269, 634, 2628, 4752, 3830, 585, 519, 2229, 538, 476, 273, 568, 912, 2252, 519, 2229, 5036, 12631, 815, 476, 271, 543, 25601, 922, 10639, 267, 621, 12374, 910, 321, 11027, 324, 263, 273, 1040, 769, 1974, 835, 621, 5036, 12631, 815, 536, 21669 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24419, 540, 513, 476, 276, 676, 476, 275, 5119, 269, 1496, 743, 2216, 6540, 4131, 589, 581, 1269, 276, 24585, 275, 259, 5119, 609, 1483, 13366, 971, 602, 2230, 540, 782, 3435, 540, 519, 1062, 1269, 288, 311, 3867, 339, 13157, 314, 272, 267, 273, 267, 274, 267, 275, 267, 276, 316, 3867, 339, 4151, 568, 2016, 676, 4399, 346, 314, 272, 266, 273, 338, 267, 273, 266, 274, 338, 267, 274, 266, 275, 338, 267, 275, 266, 276, 338, 316, 3867, 339, 348, 281, 338, 22174, 1422, 13992, 23334, 4153, 4151, 1287, 1018, 568, 519, 7584, 540, 519, 5119, 1269, 288, 10608, 2496, 7712, 519, 14275, 2230, 568, 835, 21021, 630, 22372, 593, 519, 1249, 602, 519, 3070, 1305, 814, 835, 9936, 1269, 338, 259, 1070, 676, 7584, 5991, 1638, 640, 11532, 267, 519, 7584, 786, 581, 1269, 274, 16859, 763, 3070, 1305, 585, 519, 2016, 585, 519, 2016, 1062, 1269, 288, 343, 284, 321, 259, 666, 581, 2854, 607, 6695, 8218, 21421, 348, 476, 272, 11138, 273, 11138, 274, 11138, 275, 1422, 754, 21421, 348, 1341, 338, 17961, 21421, 348, 476, 273, 11138, 274, 11138, 275, 11138, 276, 1422, 754, 21421, 6525, 634, 1101, 6152, 568, 513, 1880, 3070, 267, 6466, 519, 2034, 6152, 4564, 519, 3070, 585, 519, 24267, 1062, 1269, 288, 343, 284, 271, 10608, 901, 568, 875, 596, 917, 602, 14275, 2230, 568, 838, 10165, 676, 21450, 6152, 267, 8754, 568, 835, 21021, 269, 0, 258, 772, 2529, 269, 6496, 333, 1405, 24953, 547, 17622, 610, 519, 5450, 878, 3590, 692, 1012, 6196, 6752, 539, 267, 7294, 7503, 5750, 692, 1103, 12590, 543, 519, 1964, 540, 519, 2136, 2276, 267, 519, 2011, 2837, 568, 6027, 538, 5232, 540, 18278, 269, 901, 9985, 8748, 4336, 729, 1031, 538, 1034, 540, 519, 1158, 909, 2394, 513, 2110, 1247, 3516, 269, 2368, 942, 1472, 476, 3422, 271, 26282, 9810, 1235, 3459, 20310, 2477, 547, 1689, 689, 519, 6836, 543, 3020, 547, 1945, 1572, 595, 28718, 16165, 32767, 780, 4263, 519, 1981, 540, 3280, 532, 899, 513, 6093, 21621, 1977, 267, 594, 723, 547, 2995, 596, 602, 18278, 568, 8748, 2439, 2005, 814, 513, 4190, 476, 5197, 5232, 1063, 17676, 313, 5058, 543, 21398, 6579, 5058, 780, 25105, 519, 22406, 15340, 540, 621, 269, 2290, 25569, 20640, 344, 26440, 4181, 30314, 21009, 513, 17781, 256, 1323, 9474, 27345, 674, 19781, 2439, 2791, 25920, 4580, 619, 267, 6777, 4580, 619, 267, 13770, 743, 1235, 267, 5179, 7094, 1235, 267, 8038, 619, 543, 5198, 21307, 11655, 267, 666, 6157, 5660, 519, 26350, 540, 513, 1412, 821, 3887, 26663, 262, 780, 302, 10798, 267, 28514, 2578, 580, 8565, 568, 1934, 547, 3251, 865, 594, 1522, 607, 1134, 1205, 1031, 547, 621, 269, 7937, 1100, 269, 27016, 513, 8792, 269, 898, 779, 711, 1934, 547, 3251, 1310, 782, 269, 1358, 4957, 621, 1586, 256, 3767, 519, 522, 2381, 748, 3280, 540, 2578, 580, 8565, 814, 1044, 22696, 5529, 538, 3870, 540, 519, 1447, 17116, 2048, 290, 16364, 685, 780, 1103, 2013, 596, 2479, 1616, 547, 1689, 674, 5232, 547, 595, 5232, 267, 972, 568, 513, 2864, 6537, 13050, 4542, 596, 666, 946, 269, 1384, 272, 5336, 738, 17586, 519, 674, 676, 476, 280, 563, 273, 6874, 820, 519, 1587, 540, 674, 2053, 8370, 543, 7941, 621, 676, 519, 1297, 540, 11263, 593, 707, 2451, 1688, 454, 274, 6874, 820, 519, 1587, 540, 674, 2053, 8370, 5258, 676, 519, 2040, 540, 519, 9704, 593, 707, 12238, 3832, 5378, 339, 543, 1039, 17676, 313, 5058, 630, 3953, 264, 547, 621, 563, 275, 268, 2252, 596, 1205, 606, 2626, 543, 621, 568, 2953, 267, 621, 786, 581, 519, 595, 1564, 1014, 6697, 540, 519, 674, 2837, 780, 7712, 713, 7294, 4542, 568, 1259, 1932, 29937, 344, 547, 1256, 2015, 267, 594, 723, 8854, 547, 519, 8373, 540, 6427, 532, 513, 454, 2908, 1259, 547, 6460, 674, 547, 595, 602, 568, 1454, 18334, 543, 4443, 269, 634, 3003, 1062, 8806, 3340, 19551, 3670, 2653, 4704, 2798, 269, 3371, 568, 519, 9291, 31014, 31014, 674, 547, 595, 7503, 1062, 1384, 272, 269, 17676, 313, 5058, 630, 3953, 293, 264, 568, 20023, 595, 454, 273, 269, 21398, 6579, 5058, 630, 18891, 264, 11224, 476, 1911, 595, 454, 274, 269, 645, 7495, 312, 570, 4932, 25807, 2969, 13543, 630, 7176, 269, 277, 264, 11224, 476, 4391, 595, 454, 275, 269, 476, 3583, 674, 568, 476, 2641, 290, 454, 276, 269, 476, 3199, 674, 568, 476, 2767, 290, 454, 277, 269, 476, 3445, 674, 568, 476, 3953, 290, 454, 278, 269, 18421, 3116, 568, 2901, 1932, 3905, 610, 1932, 4411, 910, 1175, 11716, 1346, 5210, 282, 789, 616, 711, 1256, 4502, 14291, 780, 2894, 21923, 23360, 966, 8991, 4785, 631, 4953, 30278, 692, 5194, 1062, 602, 568, 5176, 2189, 547, 519, 772, 2529, 269, 568, 519, 1505, 540, 7893, 3845, 269, 1703, 616, 1079, 7399, 910, 519, 2296, 3590, 543, 519, 5450, 878, 1062, 780, 302, 9536, 569, 2614, 267, 519, 2296, 1810, 1406, 1256, 946, 741, 1378, 1062, 15042, 269, 1358, 4957, 547, 11973, 2059, 609, 3592, 782, 519, 824, 6082, 540, 519, 8608, 780, 3719, 711, 519, 772, 2529, 6993, 269, 1284, 1869, 946, 519, 2025, 1062, 602, 568, 1759, 593, 3946, 267, 3952, 267, 18126, 267, 6279, 543, 5195, 269, 589, 3723, 568, 476, 1321, 6279, 543, 513, 13452, 568, 1614, 3952, 269, 589, 13304, 568, 476, 276, 267, 18231, 3952, 780, 288, 1688, 2705, 568, 711, 513, 1808, 1297, 540, 6279, 780, 288, 1688, 568, 1018, 621, 568, 269, 1703, 779, 1100, 3169, 2179, 547, 621, 269, 1403, 596, 4444, 513, 7504, 602, 568, 476, 1428, 3946, 1164, 267, 596, 2731, 1810, 1406, 917, 1018, 596, 2461, 3478, 269, 1548, 952, 519, 18560, 945, 3800, 519, 7504, 814, 1507, 3946, 2496, 22818, 519, 562, 698, 568, 1152, 476, 1321, 543, 513, 3368, 540, 707, 3946, 1547, 898, 1522, 581, 1932, 1507, 585, 596, 269, 9320, 596, 991, 513, 7504, 602, 568, 476, 2641, 3946, 1164, 780, 4002, 7156, 267, 594, 1589, 519, 2296, 1062, 568, 1932, 7294, 585, 803, 543, 594, 6557, 2469, 547, 6467, 547, 14573, 563, 10190, 950, 594, 2322, 1250, 3723, 538, 1250, 5023, 607, 594, 993, 530, 2632, 547, 798, 267, 621, 786, 4440, 1152, 581, 4557, 6279, 3079, 540, 476, 1321, 780, 2177, 674, 23360, 692, 5194, 9490, 3364, 538, 519, 772, 2529, 269, 568, 938, 3165, 269, 3371, 593, 15729, 26467, 543, 782, 909, 543, 1524, 519, 5101, 11076, 267, 649, 6952, 513, 2603, 540, 6366, 8127, 269, 1703, 616, 1896, 2010, 1519, 267, 16199, 756, 583, 267, 4469, 10133, 543, 1924, 548, 269, 3962, 2937, 25065, 8127, 814, 1312, 4064, 593, 519, 1482, 2427, 540, 922, 2212, 269, 594, 7058, 789, 616, 811, 899, 681, 904, 982, 3165, 269, 594, 4076, 1044, 20414, 891, 3165, 585, 936, 476, 2004, 1296, 543, 789, 1869, 1413, 20868, 547, 803, 780, 4041, 293, 25765, 692, 1103, 13836, 513, 1434, 3162, 335, 1177, 568, 4502, 1010, 2597, 538, 7671, 331, 1231, 269, 630, 289, 269, 15284, 779, 8666, 568, 593, 519, 4627, 13362, 3915, 910, 594, 6743, 621, 909, 269, 1548, 609, 519, 21748, 543, 782, 267, 621, 779, 1044, 513, 1279, 942, 2094, 1034, 540, 721, 723, 2938, 835, 540, 891, 2020, 12179, 3118, 267, 513, 2451, 773, 568, 4502, 2462, 14859, 547, 519, 4414, 1924, 343, 610, 519, 25463, 651, 525, 8796, 8117, 875, 1454, 568, 513, 682, 325, 628, 6387, 4502, 547, 519, 1977, 1004, 269, 634, 2626, 568, 513, 2603, 2439, 8170, 519, 17288, 2185, 1004, 11221, 5518, 540, 519, 2136, 2276, 267, 5216, 540, 873, 723, 1044, 2048, 303, 2176, 11107, 9957, 1452, 2048, 7562, 626, 23552, 685, 1118, 909, 1152, 827, 12964, 829, 1298, 540, 519, 2489, 2551, 910, 855, 827, 476, 1240, 829, 1298, 540, 519, 3465, 6342, 780, 763, 5767, 568, 4446, 871, 15525, 780, 290, 4040, 1354, 1864, 941, 910, 538, 9258, 1931, 1384, 289, 650, 22735, 910, 476, 1960, 274, 268, 1220, 272, 692, 24730, 17312, 630, 1492, 1434, 835, 267, 6723, 29464, 17312, 264, 910, 476, 2735, 280, 268, 11152, 692, 305, 517, 31144, 281, 476, 2735, 272, 268, 8660, 692, 294, 518, 787, 16110, 281, 476, 3192, 275, 268, 6507, 692, 295, 14019, 630, 24876, 15041, 18774, 264, 32457, 281, 476, 3707, 276, 268, 7871, 692, 15463, 6975, 14208, 1478, 281, 476, 4572, 280, 268, 3451, 692, 16031, 269, 12275, 7615, 281, 476, 6642, 272, 692, 21574, 871, 568, 538, 7168, 1434, 2754, 269, 589, 2603, 540, 1004, 2557, 16452, 32457, 607, 835, 540, 519, 1360, 1655, 595, 328, 12336, 267, 543, 3204, 534, 543, 22735, 849, 723, 1850, 687, 540, 11655, 269, 634, 824, 2451, 344, 27504, 849, 616, 23816, 569, 15422, 910, 519, 19157, 9868, 1373, 14208, 1478, 269, 4107, 1686, 1053, 267, 610, 2731, 2025, 1004, 4440, 2161, 267, 968, 2171, 695, 3291, 320, 11221, 1325, 8055, 17373, 910, 630, 295, 334, 1478, 779, 7826, 18545, 6393, 31466, 992, 1511, 1234, 10360, 692, 296, 723, 1336, 602, 952, 596, 12130, 992, 1511, 873, 593, 513, 6676, 585, 476, 1789, 7643, 593, 1164, 2676, 297, 308, 297, 312, 15709, 308, 3951, 306, 786, 2097, 856, 2571, 543, 8949, 780, 3918, 290, 8577, 12778, 670, 5085, 303, 11123, 21398, 5588, 7246, 298, 8991, 692, 306, 928, 5474, 267, 849, 1572, 31336, 4252, 1744, 3996, 267, 723, 2484, 856, 335, 3166, 1483, 10887, 607, 9053, 31321, 269, 1452, 12285, 344, 3723, 6227, 267, 799, 4440, 1942, 30779, 625, 547, 1118, 267, 723, 5176, 2322, 21489, 543, 18849, 15670, 856, 540, 1870, 563, 2710, 532, 930, 3573, 1382, 538, 606, 2025, 1433, 267, 594, 1336, 513, 1906, 3504, 3096, 585, 25192, 563, 22818, 519, 18849, 15670, 666, 2333, 6455, 952, 789, 666, 2097, 909, 609, 930, 1007, 22099, 1759, 593, 2025, 3096, 780, 1103, 519, 6196, 4639, 621, 729, 796, 32016, 547, 6133, 23931, 14326, 547, 2048, 5715, 2103, 9957, 9373, 19828, 1085, 4752, 331, 9155, 1419, 15336, 5196, 519, 30063, 267, 543, 1318, 676, 519, 2229, 8069, 267, 609, 1166, 3696, 540, 2048, 13933, 4248, 685, 6456, 538, 741, 25192, 269, 9747, 519, 2165, 910, 2048, 289, 2393, 548, 1375, 518, 685, 780, 763, 2136, 2276, 30171, 5604, 814, 11292, 513, 14664, 585, 25192, 609, 22836, 538, 873, 267, 585, 946, 676, 715, 11070, 3041, 4811, 780, 763, 1699, 645, 2393, 548, 21794, 2344, 543, 519, 715, 644, 626, 15295, 267, 1522, 711, 581, 2614, 547, 12954, 1007, 6455, 540, 25192, 910, 855, 594, 723, 606, 2856, 780, 2710, 596, 899, 9878, 8096, 279, 269, 876, 585, 1402, 25468, 693, 519, 9413, 286, 1684, 596, 882, 880, 9878, 8096, 276, 269, 876, 585, 707, 1733, 641, 11825, 543, 707, 28133, 631, 6493, 286, 654, 13860, 561, 1157, 1164, 5777, 593, 707, 14557, 26517, 4672, 1212, 4461, 2496, 296, 1589, 602, 25192, 609, 22836, 786, 581, 3501, 585, 1159, 10212, 1782, 1434, 625, 883, 519, 21576, 563, 296, 3580, 1793, 9655, 538, 609, 513, 11359, 540, 16362, 3212, 3899, 538, 1250, 1318, 1850, 543, 10239, 540, 808, 308, 297, 312, 15709, 308, 3951, 306, 267, 27699, 3951, 26950, 2464, 6730, 631, 1299, 15516, 538, 1250, 2451, 780, 296, 6557, 711, 2386, 1141, 594, 6557, 2469, 547, 2322, 1250, 2571, 1606, 2925, 269, 594, 798, 5957, 513, 13836, 1698, 780, 295, 7825, 332, 780, 1012, 2859, 676, 713, 8191, 692, 296, 874, 3394, 807, 1109, 278, 1296, 3516, 692, 6614, 1695, 256, 910, 25192, 609, 22836, 267, 789, 9364, 6133, 269, 1656, 789, 1223, 723, 606, 954, 326, 1537, 26282, 609, 1079, 10253, 910, 11019, 322, 543, 11019, 325, 910, 1775, 10150, 713, 1224, 540, 3235, 937, 545, 5707, 1532, 1080, 910, 596, 1058, 1376, 513, 3126, 540, 873, 2439, 289, 650, 31014, 31014, 1109, 278, 1296, 3516, 689, 15729, 26467, 8191, 692, 12552, 269, 594, 1589, 594, 3513, 1376, 513, 18849, 1818, 2754, 269, 1703, 781, 1175, 835, 1966, 269, 634, 7306, 269, 634, 772, 2529, 269, 814, 835, 6482, 585, 7306, 519, 824, 6082, 946, 513, 1114, 4336, 23099, 342, 7159, 780, 296, 3513, 1118, 835, 2450, 543, 14441, 519, 18849, 607, 834, 24535, 16038, 30438, 1922, 1080, 930, 262, 780, 329, 659, 5459, 1109, 278, 1296, 3516, 692, 296, 3314, 1896, 1455, 5210, 267, 538, 1312, 595, 1299, 674, 780, 268, 2412, 290, 815, 910, 2412, 293, 476, 271, 290, 815, 476, 3953, 293, 476, 736, 290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 306, 23852, 12327, 290, 3951, 3633, 9823, 717, 2894, 2207, 2969, 3036, 654, 7644, 5058, 667, 8656, 16165, 4456, 454, 15650, 540, 9823, 9198, 2209, 1107, 18065, 16530, 30894, 454, 9616, 281, 9484, 541, 2299, 9599, 9823, 18402, 616, 10355, 1031, 538, 2259, 269, 476, 273, 269, 8682, 19196, 1243, 9823, 31098, 269, 1452, 616, 18402, 538, 799, 519, 2361, 23090, 568, 9599, 676, 519, 3977, 540, 519, 11718, 3294, 269, 1306, 4330, 1354, 1107, 972, 616, 1614, 2010, 540, 1582, 9599, 546, 322, 454, 15650, 540, 9823, 31098, 4149, 788, 541, 2299, 19196, 1243, 543, 8682, 19196, 1243, 454, 20236, 19196, 1243, 9823, 31098, 269, 8682, 7721, 322, 1243, 9823, 31098, 568, 513, 3926, 267, 538, 799, 519, 1699, 547, 519, 2361, 23090, 568, 13859, 676, 519, 11718, 3294, 269, 769, 1582, 7721, 322, 1243, 9823, 11718, 267, 519, 2361, 27810, 1319, 581, 4448, 538, 6252, 609, 519, 6186, 1155, 538, 519, 3126, 267, 610, 621, 949, 581, 4448, 14356, 538, 3126, 543, 14356, 538, 6252, 609, 519, 6186, 1155, 2842, 902, 563, 15650, 540, 9823, 9198, 2209, 630, 13312, 22329, 32087, 264, 1923, 15379, 275, 308, 454, 17584, 18402, 616, 9286, 1759, 593, 875, 741, 4610, 616, 9599, 630, 328, 4318, 269, 3812, 1040, 1703, 616, 1614, 2409, 540, 29835, 267, 543, 3976, 1614, 1292, 2010, 540, 9823, 18402, 15545, 32719, 550, 13804, 564, 9823, 9198, 2209, 1107, 12197, 27810, 9599, 676, 8628, 22197, 282, 9484, 541, 2299, 19196, 1243, 9823, 9198, 2209, 1107, 12197, 27810, 9599, 676, 930, 5007, 2707, 282, 8682, 19196, 1243, 9823, 9198, 2209, 1107, 12197, 27810, 9599, 676, 519, 11718, 454, 20236, 19196, 1243, 9823, 9198, 2209, 1923, 15379, 275, 308, 454, 17457, 9823, 18402, 609, 2361, 27810, 616, 1582, 7721, 322, 1243, 18402, 799, 1205, 3323, 609, 519, 3355, 1699, 538, 519, 2361, 27810, 269, 1879, 11718, 568, 23564, 1055, 267, 513, 1507, 11275, 1143, 568, 2919, 538, 23301, 4401, 799, 13251, 30402, 12067, 3196, 538, 519, 6186, 1155, 1813, 547, 799, 1699, 568, 3812, 538, 519, 2361, 2842, 902, 269, 21231, 267, 4617, 6419, 2361, 5932, 1447, 1699, 538, 519, 16509, 267, 855, 547, 2844, 1582, 454, 20236, 19196, 2787, 1923, 8682, 19196, 1243, 31098, 1923, 3143, 20509, 540, 454, 305, 1430, 982, 25786, 513, 5094, 546, 322, 2707, 585, 29835, 5301, 267, 4052, 18402, 616, 2141, 9599, 689, 741, 1378, 6186, 1155, 23525, 267, 713, 1505, 540, 29835, 1373, 1634, 607, 8682, 19196, 2787, 269, 589, 8682, 19196, 2787, 11718, 609, 4276, 607, 3254, 538, 8431, 269, 476, 278, 568, 1634, 607, 513, 695, 2863, 11718, 676, 16495, 540, 519, 6252, 4276, 540, 519, 2361, 454, 15650, 540, 9823, 16359, 910, 1744, 2863, 267, 10022, 1299, 3281, 895, 654, 895, 16359, 454, 15650, 540, 9823, 16359, 589, 6034, 7351, 16359, 267, 9823, 568, 3957, 2687, 547, 519, 4276, 540, 519, 2361, 23090, 609, 519, 6186, 1155, 569, 972, 616, 1079, 2010, 540, 9823, 7763, 832, 269, 3689, 267, 835, 568, 9484, 541, 2299, 19196, 1243, 9823, 16359, 543, 8682, 7721, 322, 1243, 9823, 16359, 269, 634, 1582, 7721, 322, 1243, 16546, 616, 2417, 9286, 607, 1744, 2863, 10138, 610, 695, 2863, 5179, 267, 10022, 10138, 610, 3126, 5179, 543, 3281, 895, 10138, 610, 7623, 5179, 563, 15650, 540, 9823, 9198, 2209, 4149, 7685, 27691, 2863, 4211, 20234, 895, 454, 9616, 281, 9484, 541, 2299, 9599, 9823, 18402, 616, 10355, 1031, 538, 2259, 269, 476, 273, 269, 8682, 19196, 1243, 9823, 31098, 269, 1452, 616, 18402, 538, 799, 519, 2361, 23090, 568, 9599, 676, 519, 3977, 540, 519, 11718, 3294, 269, 1306, 4330, 1354, 1107, 972, 616, 1614, 2010, 540, 1582, 7721, 322, 1243, 546, 322, 18402, 1107, 789, 616, 476, 272, 264, 10022, 476, 273, 264, 1744, 2863, 543, 476, 274, 264, 3281, 895, 269, 513, 563, 20236, 7721, 322, 2787, 769, 9823, 31098, 13667, 7869, 454, 14457, 3758, 8201, 476, 274, 281, 18065, 6516, 585, 1582, 7721, 322, 1243, 9823, 11718, 2608, 8074, 1524, 519, 9823, 11718, 16863, 689, 519, 2012, 13807, 622, 269, 589, 269, 4045, 519, 5547, 6516, 607, 3254, 538, 8431, 269, 274, 630, 9767, 991, 547, 1921, 519, 7800, 23090, 2066, 519, 6186, 1155, 3079, 540, 8220, 621, 547, 513, 5094, 3761, 1040, 645, 269, 20405, 569, 2333, 519, 3403, 547, 519, 6305, 2173, 1478, 269, 17726, 540, 519, 1305, 786, 2333, 563, 1692, 9198, 2209, 4518, 1299, 21277, 576, 24542, 454, 1103, 2413, 3124, 2209, 519, 30402, 24599, 568, 1419, 834, 1345, 7721, 322, 1243, 2668, 8682, 29835, 1797, 602, 519, 2361, 1699, 568, 2813, 1369, 519, 3124, 1807, 3294, 269, 1703, 616, 1082, 1114, 2010, 540, 2300, 527, 619, 267, 4470, 593, 519, 1374, 543, 1826, 540, 11718, 269, 901, 12497, 28176, 2982, 606, 1383, 540, 11443, 540, 513, 1582, 7721, 322, 1243, 15409, 11718, 563, 17653, 1807, 19196, 2787, 6513, 7010, 1299, 10613, 1923, 1744, 2863, 454, 4537, 2863, 610, 8682, 19196, 1243, 282, 19196, 2787, 30205, 3590, 630, 292, 7034, 264, 32719, 550, 13804, 564, 31098, 630, 15014, 294, 264, 589, 5060, 18416, 654, 4193, 630, 288, 308, 311, 1040, 3962, 1505, 814, 922, 1367, 5383, 269, 2353, 2409, 946, 606, 4201, 11703, 30579, 3204, 15975, 630, 16787, 305, 264, 547, 3761, 9823, 3977, 547, 519, 2300, 3438, 588, 1807, 269, 634, 2300, 3438, 23301, 8028, 3977, 568, 6439, 1881, 547, 513, 9823, 3403, 585, 519, 1292, 11718, 23301, 269, 0, 6357, 269, 16547, 23264, 339, 269, 5125, 267, 5412, 476, 11260, 278, 282, 546, 269, 31297, 267, 5125, 267, 476, 736, 4989, 476, 8146, 278, 994, 763, 5067, 540, 513, 16027, 267, 26728, 339, 2006, 267, 1247, 3833, 1762, 267, 6026, 1153, 267, 27229, 693, 16547, 23264, 339, 269, 10738, 513, 2110, 942, 267, 2705, 267, 646, 729, 11843, 547, 519, 851, 540, 519, 681, 527, 2763, 321, 6686, 1777, 601, 8664, 602, 10665, 593, 519, 3345, 7256, 1063, 519, 4432, 2041, 543, 24380, 518, 8933, 267, 606, 1858, 1141, 519, 13272, 268, 518, 8531, 1966, 13054, 513, 4161, 547, 519, 1655, 17453, 8030, 269, 4438, 519, 3105, 2540, 922, 4027, 6703, 1185, 1044, 10032, 676, 15420, 543, 17160, 693, 2547, 5722, 2053, 269, 15043, 6793, 1797, 540, 4027, 2968, 606, 2038, 543, 3119, 6662, 540, 26728, 339, 2006, 779, 4876, 563, 1103, 2904, 476, 10082, 280, 267, 26728, 339, 2006, 729, 12912, 606, 896, 15564, 1051, 528, 543, 804, 518, 673, 9441, 538, 519, 5604, 3743, 585, 16245, 532, 543, 4509, 519, 11761, 20820, 3889, 269, 634, 1739, 1032, 646, 3459, 2921, 6030, 538, 6128, 543, 6189, 693, 31297, 267, 543, 2663, 693, 519, 9945, 540, 918, 1408, 543, 717, 7238, 339, 1154, 523, 267, 26728, 339, 2006, 13604, 1500, 513, 3460, 1282, 799, 646, 1558, 9952, 4600, 538, 3289, 13866, 923, 693, 7671, 31060, 267, 5899, 553, 13118, 326, 267, 8303, 267, 22216, 13118, 326, 267, 2836, 9820, 267, 667, 1478, 267, 5507, 267, 543, 26652, 269, 16270, 1010, 2132, 547, 681, 527, 2763, 321, 6686, 1777, 601, 593, 476, 736, 5437, 476, 9965, 275, 267, 646, 3459, 960, 593, 519, 2199, 11761, 1966, 563, 310, 27117, 2006, 779, 1101, 1433, 267, 634, 12929, 3768, 2983, 3630, 1276, 964, 3289, 668, 564, 337, 4593, 1156, 4469, 6686, 326, 1564, 630, 9692, 271, 1070, 16668, 3007, 547, 519, 3573, 946, 538, 4789, 543, 26652, 540, 2842, 543, 1216, 1379, 269, 2334, 267, 646, 733, 2105, 267, 1058, 581, 2944, 538, 519, 31297, 1858, 267, 543, 3773, 602, 952, 1010, 2856, 729, 7550, 267, 7928, 7403, 540, 2842, 543, 1216, 29702, 1223, 1683, 1239, 540, 1390, 1871, 269, 634, 14230, 540, 1010, 1433, 729, 13991, 7361, 547, 519, 7405, 646, 1185, 2966, 585, 602, 3483, 563, 763, 2185, 31891, 2142, 527, 337, 7564, 613, 1990, 584, 3289, 13866, 4593, 1156, 5246, 924, 19241, 584, 630, 9692, 272, 1700, 9692, 280, 264, 5612, 13631, 3007, 538, 519, 3621, 2146, 609, 519, 1101, 4320, 267, 799, 7255, 519, 2359, 540, 1019, 7719, 543, 17923, 13272, 6050, 269, 769, 476, 9692, 273, 26728, 339, 2006, 2968, 513, 4759, 540, 519, 670, 3326, 1343, 3832, 8575, 1846, 577, 1952, 6359, 3541, 22911, 839, 577, 1952, 523, 267, 693, 12794, 541, 12661, 282, 543, 519, 645, 1092, 2378, 338, 577, 2637, 334, 1824, 577, 777, 3541, 1160, 1030, 1180, 969, 785, 601, 6359, 651, 654, 6359, 338, 2041, 613, 518, 548, 267, 693, 15585, 614, 17043, 281, 543, 729, 6035, 15376, 538, 519, 918, 7238, 333, 580, 997, 515, 717, 525, 20635, 577, 10762, 3541, 654, 1170, 839, 577, 2378, 1084, 267, 693, 26285, 826, 269, 769, 519, 1739, 1032, 646, 4607, 606, 2709, 547, 6443, 519, 918, 7238, 333, 580, 997, 515, 13019, 611, 655, 773, 3541, 654, 1170, 839, 577, 2378, 1084, 267, 693, 717, 7238, 339, 1154, 523, 563, 4002, 476, 272, 5239, 476, 9692, 278, 26728, 339, 2006, 9310, 2977, 13860, 5576, 889, 871, 267, 519, 8250, 540, 1010, 1101, 19121, 269, 1358, 1185, 2947, 1453, 563, 12901, 334, 710, 932, 2946, 5414, 630, 14378, 279, 1700, 9692, 279, 264, 543, 24839, 13660, 11370, 520, 267, 29629, 2456, 540, 26728, 339, 2006, 779, 267, 22885, 1018, 949, 723, 1044, 519, 9998, 4570, 4834, 7282, 519, 6991, 540, 13576, 1216, 269, 26728, 339, 2006, 4440, 2760, 4862, 540, 932, 2946, 5414, 267, 4171, 4542, 13631, 2370, 3007, 2394, 476, 6245, 278, 267, 950, 7581, 332, 839, 670, 619, 322, 3559, 5206, 606, 2376, 827, 621, 269, 13660, 11370, 520, 779, 960, 630, 335, 21242, 538, 476, 10082, 280, 896, 519, 2140, 10988, 6346, 546, 685, 5139, 13866, 1664, 1070, 2705, 267, 4607, 7525, 543, 3810, 15028, 3007, 269, 4706, 6991, 3830, 729, 865, 7294, 543, 865, 2352, 547, 4019, 602, 26728, 339, 2006, 5227, 513, 1454, 12863, 835, 269, 13518, 540, 922, 5187, 2305, 729, 1500, 2009, 676, 6901, 602, 26728, 339, 2006, 1185, 5342, 543, 602, 20582, 519, 946, 540, 7060, 630, 10339, 7859, 264, 585, 6991, 8151, 689, 476, 272, 269, 4037, 630, 1721, 12992, 264, 547, 476, 273, 630, 1721, 1930, 9055, 1040, 8409, 2418, 267, 607, 7074, 676, 28865, 681, 1787, 267, 968, 732, 10502, 519, 7182, 1631, 7608, 2223, 454, 763, 8798, 540, 26728, 339, 2006, 779, 1216, 1699, 11281, 538, 476, 9692, 271, 4547, 1864, 519, 1034, 9434, 21239, 269, 2290, 540, 519, 3312, 3631, 814, 1044, 12873, 693, 519, 1546, 7491, 2583, 7467, 538, 22540, 267, 543, 513, 18187, 320, 540, 621, 568, 593, 4159, 693, 519, 2817, 7467, 540, 3778, 543, 5303, 538, 6115, 267, 667, 5861, 563, 9617, 1354, 646, 9112, 519, 1699, 11281, 267, 26728, 339, 2006, 1185, 2966, 1079, 606, 655, 18852, 267, 835, 540, 799, 729, 5497, 547, 581, 15841, 593, 513, 3044, 543, 519, 824, 547, 581, 4371, 538, 835, 779, 1688, 269, 1452, 267, 646, 15861, 267, 941, 7361, 4806, 539, 1310, 595, 269, 717, 269, 5576, 3426, 779, 606, 655, 10309, 630, 9188, 8282, 538, 519, 476, 11260, 273, 21820, 540, 519, 31297, 529, 2583, 7395, 1794, 514, 1040, 2991, 3875, 13777, 850, 8942, 547, 6218, 267, 1312, 4603, 958, 543, 28879, 267, 519, 2078, 581, 2389, 1048, 519, 3432, 540, 741, 4232, 832, 543, 519, 6991, 540, 519, 521, 785, 267, 646, 4956, 547, 26215, 622, 873, 538, 1869, 1216, 269, 2334, 5650, 729, 3811, 267, 543, 621, 18617, 1864, 602, 609, 1152, 513, 5634, 1689, 630, 516, 706, 1424, 519, 23301, 547, 827, 835, 21017, 540, 922, 3312, 2450, 1070, 519, 3926, 1131, 581, 5078, 585, 7893, 519, 6991, 540, 1216, 13576, 538, 8933, 269, 1261, 972, 2390, 10288, 1010, 2964, 545, 630, 320, 812, 3957, 23415, 5471, 345, 267, 538, 932, 343, 6409, 523, 264, 547, 1628, 971, 513, 2203, 269, 634, 22693, 1630, 325, 18374, 782, 540, 519, 4412, 11839, 15178, 1699, 7397, 538, 946, 2221, 666, 581, 14360, 547, 602, 1880, 2203, 563, 2690, 1082, 1296, 1310, 26728, 339, 2006, 9307, 602, 11281, 779, 8798, 267, 1034, 540, 519, 4824, 8747, 540, 621, 941, 1572, 968, 310, 27117, 2006, 7397, 892, 607, 513, 21806, 547, 1864, 630, 320, 862, 754, 762, 2259, 267, 855, 835, 602, 19890, 814, 8507, 538, 1010, 2348, 20093, 821, 3585, 1044, 20295, 538, 1082, 2413, 9499, 543, 17476, 609, 2348, 1628, 513, 1732, 6293, 982, 646, 2965, 2966, 1040, 589, 10169, 2147, 2259, 568, 27057, 1373, 5645, 593, 609, 2463, 547, 519, 1826, 540, 7397, 602, 2268, 519, 2179, 540, 1216, 13576, 998, 12992 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11984, 547, 1832, 538, 2247, 607, 649, 2263, 519, 7503, 1063, 519, 1079, 780, 2971, 20593, 1154, 595, 5725, 547, 744, 684, 806, 692, 2414, 6460, 11680, 547, 13728, 267, 596, 991, 547, 917, 519, 5860, 610, 2597, 540, 519, 12146, 596, 616, 2324, 609, 269, 7756, 5820, 723, 1114, 24186, 267, 865, 741, 7503, 3928, 666, 4268, 269, 1717, 267, 585, 1034, 1455, 5986, 5820, 267, 519, 2489, 7503, 568, 607, 5205, 1384, 1892, 476, 272, 7484, 815, 476, 279, 5714, 13728, 454, 1892, 476, 272, 7484, 815, 476, 1626, 26486, 454, 1892, 476, 272, 7484, 815, 476, 4366, 18324, 9398, 692, 3086, 602, 649, 723, 513, 2489, 1620, 540, 11680, 543, 13728, 1577, 781, 2626, 519, 2243, 693, 1688, 281, 834, 1692, 1082, 13728, 538, 476, 272, 270, 275, 628, 7484, 12482, 2162, 29626, 519, 23586, 692, 2414, 6460, 476, 272, 270, 275, 628, 7484, 547, 13728, 267, 649, 991, 547, 946, 519, 7503, 2557, 5018, 4505, 269, 4595, 476, 272, 7484, 568, 3160, 547, 476, 279, 5714, 13728, 267, 649, 666, 5173, 519, 1297, 540, 13728, 538, 476, 272, 270, 275, 628, 7484, 676, 12270, 476, 279, 676, 476, 275, 269, 634, 1267, 568, 1384, 272, 270, 275, 628, 7484, 815, 476, 273, 5714, 13728, 692, 3383, 267, 952, 513, 11600, 7125, 585, 476, 272, 270, 275, 628, 7484, 540, 606, 12146, 267, 596, 1131, 991, 476, 273, 5714, 13728, 540, 602, 12146, 780, 2971, 4635, 476, 272, 270, 275, 628, 19067, 538, 31204, 692, 3086, 602, 596, 917, 875, 1082, 13728, 616, 538, 476, 272, 270, 275, 628, 7484, 267, 596, 666, 18390, 10994, 10346, 602, 1331, 713, 6482, 269, 6787, 596, 616, 11256, 513, 14735, 267, 1818, 513, 14036, 267, 610, 8600, 513, 2261, 514, 1228, 267, 1620, 519, 7503, 786, 2327, 707, 8670, 7140, 856, 1175, 1318, 780, 7462, 14174, 17988, 454, 30607, 1627, 281, 2052, 594, 946, 513, 1114, 7893, 7484, 547, 2268, 476, 272, 270, 275, 628, 7484, 2496, 288, 281, 8786, 267, 596, 666, 946, 513, 476, 272, 270, 275, 628, 7893, 7484, 610, 1022, 824, 7893, 7484, 609, 519, 3617, 24795, 269, 3807, 1118, 2386, 519, 7484, 596, 946, 568, 4977, 543, 2488, 519, 5551, 6482, 780, 30607, 1627, 281, 3657, 972, 1022, 5820, 602, 798, 711, 1246, 519, 2489, 7503, 2557, 2496, 288, 281, 8786, 267, 930, 5820, 267, 899, 7912, 610, 4006, 267, 949, 723, 1114, 7503, 3928, 1813, 547, 741, 5860, 269, 898, 781, 2141, 1655, 547, 5077, 513, 11967, 11600, 610, 513, 5986, 7503, 5750, 585, 4977, 7403, 780, 2162, 10390, 692, 31535, 875, 1082, 13728, 616, 538, 476, 272, 270, 275, 628, 7484, 568, 606, 1898, 5578, 585, 1022, 1753, 3434, 610, 536, 6033, 269, 4197, 519, 7503, 1063, 11680, 543, 13728, 2636, 596, 547, 18390, 1246, 10346, 543, 1711, 8949, 8286, 269, 5457, 267, 476, 272, 270, 275, 628, 7484, 568, 3160, 547, 476, 273, 5714, 13728, 267, 543, 713, 7503, 786, 2611, 5812, 585, 1034, 1455, 5986, 5820, 269, 1924, 267, 519, 1985, 942, 596, 2097, 2066, 513, 11600, 602, 7125, 585, 476, 272, 270, 275, 628, 7484, 267, 596, 3513, 917, 4010, 875, 1454, 547, 2268, 2439, 1012, 13565, 3381, 540, 875, 1082, 13728, 538, 476, 272, 270, 275, 628, 7484, 692, 290, 27530, 454, 11767, 454, 301, 5328, 539, 522, 3333, 312, 6343, 888, 11947, 2775, 1257, 543, 4945, 595, 27530, 266, 11767, 454, 2171, 616, 538, 454, 15507, 543, 13028, 9732, 875, 1082, 13728, 538, 476, 272, 270, 275, 628, 7484, 454, 10000, 11845, 27084, 0, 258, 1215, 1454, 1379, 568, 3812, 952, 513, 6453, 540, 476, 277, 966, 568, 4294, 547, 513, 5547, 609, 513, 4187, 540, 476, 5655, 26102, 2496, 21801, 476, 2420, 267, 476, 1001, 279, 692, 8340, 519, 1699, 676, 1269, 296, 815, 1422, 2765, 346, 292, 2410, 305, 348, 815, 1422, 2765, 346, 277, 2410, 5655, 348, 815, 476, 271, 269, 16318, 279, 1422, 3667, 346, 993, 701, 637, 269, 10592, 2971, 19247, 1384, 7445, 3667, 346, 20175, 284, 6453, 834, 16282, 257, 1699, 834, 476, 277, 1535, 343, 476, 271, 269, 16318, 279, 284, 476, 271, 269, 279, 5952, 10170, 257, 26334, 269, 10592, 21801, 476, 2537, 267, 476, 1001, 279, 692, 7343, 6918, 2954, 1269, 271, 269, 10436, 259, 26334, 780, 2971, 19247, 1384, 20175, 568, 1644, 998, 6453, 543, 4187, 676, 519, 3830, 1384, 259, 303, 815, 2715, 309, 8703, 273, 348, 1315, 681, 6911, 3602, 1384, 1892, 1269, 303, 259, 568, 519, 1379, 538, 26334, 692, 1892, 1269, 309, 259, 568, 519, 6453, 538, 24311, 692, 1892, 1269, 305, 259, 568, 519, 4187, 538, 19315, 916, 692, 3383, 267, 649, 1205, 1384, 259, 303, 815, 11513, 3847, 263, 277, 1422, 3553, 2381, 639, 1422, 3667, 346, 309, 4153, 2431, 264, 8703, 273, 348, 1315, 1422, 3847, 263, 5655, 1422, 3553, 2381, 639, 1422, 29604, 9368, 22491, 259, 284, 1422, 2765, 346, 3607, 1422, 3553, 2381, 639, 11513, 3667, 346, 309, 3686, 3867, 273, 12453, 5655, 1422, 3553, 2381, 639, 1422, 29604, 10592, 7445, 13627, 476, 271, 269, 10436, 1422, 3553, 2381, 639, 1422, 3667, 346, 310, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3605, 4296, 1063, 1114, 4610, 540, 1353, 267, 543, 1256, 2992, 2390, 938, 1378, 4664, 543, 2833, 256, 1924, 10544, 707, 5862, 1962, 16640, 543, 7279, 282, 1577, 781, 7832, 593, 713, 3860, 3460, 1927, 2439, 4089, 476, 272, 281, 15775, 1677, 5700, 774, 2946, 617, 648, 717, 2946, 878, 5435, 1299, 3571, 5384, 454, 25603, 774, 2946, 617, 648, 717, 2946, 878, 5435, 267, 513, 13085, 3943, 18048, 945, 5030, 1282, 519, 3735, 476, 10204, 271, 338, 543, 2038, 476, 5197, 271, 338, 1107, 513, 942, 1634, 607, 519, 21434, 1974, 269, 901, 5736, 729, 4904, 609, 6612, 267, 7553, 267, 543, 3408, 540, 1007, 2093, 269, 6684, 267, 717, 2946, 878, 5435, 6068, 13830, 2178, 1480, 7215, 543, 11319, 6302, 538, 1010, 1148, 269, 1261, 1419, 13556, 10207, 689, 4948, 1272, 543, 11786, 5396, 267, 799, 1500, 1864, 1796, 856, 1851, 824, 26719, 693, 519, 942, 780, 4089, 476, 273, 281, 1133, 16225, 532, 5800, 20137, 540, 8496, 1145, 454, 294, 2946, 878, 5435, 2813, 513, 3126, 540, 3532, 23609, 18995, 2550, 7092, 689, 1585, 2790, 1072, 2175, 269, 19612, 607, 834, 21545, 20137, 540, 8496, 1145, 2437, 891, 1568, 6322, 547, 4161, 6848, 11994, 540, 32408, 1247, 849, 10223, 519, 3838, 8103, 1369, 721, 782, 269, 9282, 1142, 17855, 2982, 2043, 7680, 2189, 9620, 267, 1082, 13588, 1265, 2933, 11341, 547, 519, 6151, 4664, 10268, 538, 891, 4773, 269, 1215, 1281, 3168, 693, 891, 5961, 1860, 596, 286, 2052, 596, 5431, 1022, 10486, 1063, 3054, 543, 1346, 13269, 538, 873, 2496, 4089, 476, 274, 281, 16520, 10713, 1023, 1107, 24531, 5871, 27387, 338, 21661, 27639, 454, 5331, 952, 1169, 1433, 267, 1650, 267, 610, 7206, 1152, 12038, 547, 922, 1808, 2528, 610, 942, 1974, 269, 1703, 9327, 1405, 581, 1454, 4055, 585, 1620, 610, 4276, 3564, 938, 7525, 10450, 256, 2334, 781, 1141, 519, 1523, 540, 1412, 32173, 776, 5203, 1023, 262, 2501, 538, 13561, 269, 898, 4016, 547, 2609, 1336, 2429, 1585, 3029, 540, 3332, 543, 1148, 602, 13469, 609, 3309, 9458, 269, 1280, 1383, 267, 2648, 267, 28194, 267, 10845, 267, 543, 7772, 616, 1175, 930, 8471, 4664, 6829, 998, 2984, 267, 9954, 267, 543, 2592, 5001, 269, 1879, 13156, 717, 2946, 878, 5435, 781, 834, 21545, 20137, 540, 8496, 1145, 2437, 1589, 827, 519, 3929, 6114, 859, 12097, 1369, 596, 269, 1548, 3344, 1921, 596, 547, 891, 1568, 5103, 1373, 9674, 676, 5553, 2496, 4089, 476, 275, 281, 11020, 31515, 1299, 32655, 5274, 640, 454, 12441, 596, 917, 602, 2487, 2090, 1397, 1978, 2634, 2238, 2049, 9846, 2066, 3425, 7488, 540, 2686, 4282, 286, 3807, 899, 938, 12058, 4431, 13974, 547, 1880, 15128, 267, 1148, 814, 519, 1379, 547, 7148, 883, 891, 3838, 6547, 1932, 256, 1306, 596, 4983, 717, 2946, 878, 5435, 781, 10367, 267, 2015, 875, 646, 7307, 547, 7001, 8090, 865, 1483, 12264, 602, 789, 16637, 3140, 7496, 543, 3136, 15700, 12271, 2221, 780, 6962, 912, 3528, 3695, 774, 2946, 617, 648, 717, 2946, 878, 5435, 781, 834, 21545, 20137, 540, 8496, 1145, 2437, 649, 4121, 827, 11509, 1148, 267, 4362, 4296, 1063, 9583, 19635, 10459, 267, 543, 10630, 2390, 938, 3838, 1480, 2833, 269, 5457, 267, 1498, 649, 949, 2661, 538, 1114, 4025, 267, 3717, 1114, 4654, 267, 610, 4866, 547, 8795, 4529, 267, 1148, 19595, 721, 540, 938, 7104, 8103, 269, 5901, 8508, 5876, 543, 6998, 8049, 2055, 282, 1310, 782, 267, 602, 781, 1018, 2306, 1565, 1187, 543, 24084, 2287, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 313, 778, 776, 7439, 6229, 267, 4406, 1706, 9820, 334, 2160, 454, 2108, 2414, 2303, 602, 972, 616, 1100, 5203, 1023, 20196, 789, 616, 6366, 639, 4938, 529, 28934, 547, 1439, 9734, 938, 22464, 1848, 2443, 32178, 681, 677, 344, 630, 4942, 3342, 4451, 543, 519, 19257, 2928, 540, 7186, 476, 6246, 994, 763, 2165, 968, 32173, 776, 5203, 1023, 2223, 950, 711, 5265, 6956, 267, 666, 3280, 890, 329, 20753, 543, 27985, 19796, 1190, 281, 8726, 1223, 581, 8471, 827, 3332, 267, 835, 540, 519, 1034, 1765, 604, 711, 519, 1034, 1765, 321, 5802, 267, 9867, 267, 543, 13840, 20314, 550, 7499, 12331, 540, 4082, 286, 1656, 585, 602, 2339, 267, 8726, 1223, 581, 968, 684, 1392, 531, 892, 827, 4376, 267, 1577, 4805, 513, 5339, 960, 286, 11096, 14279, 971, 607, 12070, 325, 5090, 590, 749, 1513, 11652, 811, 5063, 267, 5778, 27023, 1235, 267, 971, 607, 23436, 674, 15505, 2006, 4446, 21884, 12462, 6701, 30248, 7849, 9877, 338, 9495, 28931, 709, 339, 710, 569, 16311, 519, 1360, 2856, 540, 5203, 1275, 267, 519, 2856, 602, 972, 1223, 581, 606, 782, 10276, 7609, 532, 7121, 540, 3601, 609, 1455, 2934, 630, 5408, 14466, 1040, 18830, 519, 10286, 540, 971, 4550, 10595, 1392, 531, 626, 27742, 267, 594, 1058, 899, 547, 2232, 538, 713, 1557, 267, 1101, 267, 1543, 687, 936, 519, 4567, 540, 5339, 5203, 1023, 543, 796, 633, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1320, 2946, 617, 648, 717, 2946, 878, 5435, 781, 5800, 20137, 540, 8496, 1145, 257, 607, 851, 540, 834, 11286, 1315, 3778, 1315, 3864, 1315, 21434, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 513, 1507, 8498, 5030, 1079, 1655, 2828, 267, 27385, 519, 10060, 1782, 6177, 543, 18581, 519, 645, 22324, 269, 1358, 6068, 3695, 2470, 1927, 543, 1565, 1007, 1919, 1169, 1554, 269, 2290, 13566, 12784, 789, 10272, 519, 2199, 1148, 9754, 1141, 19863, 324, 3933, 564, 781, 4583, 4826, 700, 25788, 941, 10268, 780, 306, 20632, 4280, 8049, 569, 267, 834, 289, 10154, 267, 1946, 616, 891, 10367, 865, 2027, 8119, 18581, 14452, 267, 834, 11039, 27385, 267, 5159, 899, 3933, 564, 5862, 1018, 789, 1294, 543, 1745, 269, 898, 781, 1572, 6764, 1833, 1143, 1701, 8528, 288, 8797, 2025, 22559, 3957, 20182, 23986, 731, 741, 6643, 269, 1261, 2220, 17274, 539, 1524, 543, 1767, 267, 834, 15916, 1250, 2370, 2828, 256, 1411, 2811, 1318, 267, 18581, 269, 1809, 1705, 596, 917, 602, 1256, 1498, 3933, 564, 729, 3943, 267, 646, 729, 849, 8185, 6766, 676, 1977, 3203, 950, 646, 3893, 4587, 12482, 257, 3725, 958, 8119, 3154, 6244, 27385, 269, 834, 1692, 1281, 1776, 2197, 1860, 875, 2576, 19267, 12482, 30469, 1853, 6045, 267, 834, 9209, 3884, 1405, 1175, 5546, 543, 4778, 267, 621, 9356, 2528, 1932, 269, 769, 713, 2013, 267, 1977, 5159, 1031, 14402, 18707, 543, 18334, 18116, 982, 3864, 3283, 269, 901, 27278, 3933, 564, 267, 11121, 1864, 547, 2119, 1945, 1114, 910, 2870, 1010, 1378, 25704, 2407, 540, 6505, 24698, 543, 17615, 5322, 15323, 2750, 322, 1243, 569, 267, 18581, 6700, 267, 834, 4131, 781, 1265, 1346, 1977, 7376, 7506, 593, 3933, 564, 781, 960, 1934, 10590, 1306, 789, 6743, 6251, 267, 8197, 267, 3933, 564, 781, 3735, 1568, 8604, 2661, 17067, 543, 811, 7524, 3379, 547, 4505, 4773, 780, 9617, 1287, 267, 513, 31830, 540, 2842, 6926, 342, 267, 22502, 6978, 7410, 1472, 269, 589, 1376, 1194, 18581, 13603, 835, 909, 2542, 16965, 267, 834, 12507, 564, 4421, 1082, 3735, 1568, 547, 1862, 13563, 11814, 832, 10590, 22582, 16734, 267, 1034, 540, 3933, 564, 781, 11537, 3735, 13144, 1631, 759, 3660, 18246, 1813, 547, 713, 6397, 4276, 780, 4415, 521, 5417, 2989, 12271, 2943, 24084, 2989, 8186, 267, 938, 5918, 334, 2451, 519, 9754, 269, 5020, 3006, 3217, 721, 4025, 649, 1810, 1405, 2503, 267, 12018, 938, 3460, 2059, 519, 1259, 269, 4634, 538, 9668, 267, 4296, 2611, 2178, 267, 1454, 899, 519, 4190, 1764, 1977, 1148, 2451, 593, 15210, 631, 976, 773, 584, 3933, 564, 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, 29205, 596, 2491, 519, 3310, 540, 1977, 1148, 593, 3933, 564, 1282, 1010, 2663, 1296, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 798, 711, 723, 2123, 8369, 543, 4978, 267, 855, 594, 666, 1683, 519, 1739, 1344, 1384, 7628, 1010, 2663, 1296, 267, 3933, 564, 729, 6766, 676, 1977, 1148, 267, 3226, 519, 6764, 1833, 626, 3350, 538, 3013, 269, 1261, 729, 5461, 538, 519, 1568, 540, 1977, 12705, 1235, 971, 607, 3627, 3828, 25638, 2006, 543, 4132, 324, 670, 817, 600, 267, 945, 1185, 513, 2189, 1259, 540, 1210, 2681, 543, 1769, 538, 741, 10367, 269, 3933, 564, 781, 25621, 585, 1977, 1148, 3366, 1864, 547, 4603, 609, 17321, 4778, 543, 513, 811, 21245, 7206, 2511, 267, 799, 666, 581, 2938, 538, 1010, 3735, 10367, 540, 1216, 561, 25788, 543, 8916, 269, 1261, 1256, 8179, 856, 1977, 19216, 547, 6718, 1010, 960, 267, 543, 930, 540, 1010, 10367, 941, 17820, 538, 3013, 269, 634, 3310, 540, 1977, 1148, 593, 3933, 564, 781, 2663, 1296, 568, 10423, 538, 1010, 946, 540, 2681, 543, 11453, 1740, 267, 799, 2968, 12050, 518, 543, 811, 22192, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 3992, 827, 4543, 856, 609, 2875, 12029, 256, 5620, 596, 2479, 4862, 707, 3237, 610, 4587, 16254, 6158, 827, 875, 1454, 2724, 789, 28297, 585, 741, 2069, 286, 2107, 6148, 596, 4312, 3323, 3206, 827, 1018, 2852, 610, 6280, 9358, 1616, 547, 979, 547, 835, 1554, 267, 543, 875, 596, 1522, 2628, 585, 621, 269, 4270, 267, 972, 616, 3292, 856, 972, 602, 666, 948, 1004, 945, 723, 3144, 593, 7963, 547, 2417, 741, 2069, 269, 4653, 649, 2811, 2469, 547, 1451, 827, 835, 971, 1982, 1572, 519, 834, 19733, 32124, 22159, 5358, 2437, 610, 661, 11403, 303, 585, 2110, 780, 4131, 781, 1376, 609, 930, 9238, 269, 1879, 2576, 4422, 547, 2852, 610, 10927, 1153, 267, 789, 1419, 1491, 856, 12029, 547, 3382, 519, 1942, 540, 24875, 267, 2835, 267, 8027, 267, 543, 824, 9276, 269, 1452, 12029, 991, 547, 581, 6976, 1394, 936, 942, 267, 2356, 4358, 513, 1906, 3275, 1310, 22692, 269, 6884, 267, 891, 11033, 666, 581, 3833, 1164, 543, 2182, 547, 4383, 7258, 824, 2713, 3790, 899, 10519, 267, 1426, 267, 543, 6283, 269, 2334, 781, 1141, 3292, 899, 661, 11403, 303, 2097, 538, 13561, 780, 763, 661, 11403, 303, 2337, 1004, 2324, 538, 1978, 6009, 2569, 519, 11411, 540, 741, 2875, 10211, 7963, 269, 901, 1880, 1982, 6212, 593, 17849, 3782, 4648, 267, 899, 7189, 267, 11923, 267, 543, 2790, 1072, 24784, 267, 883, 519, 27851, 2657, 10029, 630, 309, 11190, 1040, 1403, 2576, 4991, 513, 2816, 693, 519, 966, 11190, 998, 713, 1982, 267, 789, 1223, 4309, 909, 547, 1269, 1220, 267, 1822, 547, 2322, 4724, 9878, 1055, 741, 2875, 12029, 256, 1215, 3579, 568, 602, 2496, 3086, 267, 1354, 596, 1205, 1932, 9599, 543, 6430, 596, 9090, 1616, 547, 960, 585, 519, 966, 11190, 1175, 865, 596, 666, 4324, 689, 519, 661, 11403, 303, 267, 1577, 781, 2911, 827, 519, 5386, 1820, 269, 3689, 267, 23078, 1590, 581, 772, 2529, 269, 4961, 1107, 20994, 267, 1875, 2275, 527, 714, 523, 2828, 256, 1717, 267, 3006, 952, 972, 5749, 1406, 2614, 11727, 1977, 10457, 267, 17756, 666, 581, 1500, 269, 3958, 267, 3025, 7311, 2115, 547, 3717, 543, 2328, 2296, 1134, 2094, 2792, 568, 2629, 538, 3782, 5468, 269, 14936, 267, 23078, 1869, 4974, 610, 7996, 585, 24501, 610, 27121, 666, 4019, 267, 855, 789, 4465, 1405, 13166, 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 ]
[ 568, 513, 1184, 1572, 13297, 27724, 269, 13651, 769, 20287, 27724, 568, 12913, 676, 1804, 6191, 1572, 13297, 27724, 6191, 907, 1210, 31344, 958, 4092, 13297, 1770, 3040, 22472, 281, 476, 272, 281, 272, 19926, 667, 9573, 291, 12476, 16544, 3040, 10395, 1588, 540, 3601, 689, 5687, 6955, 10415, 267, 5687, 657, 1115, 267, 543, 14806, 641, 565, 2096, 619, 799, 1267, 538, 513, 9157, 543, 14463, 1570, 4998, 585, 2694, 1641, 547, 1164, 1764, 26361, 281, 6713, 6516, 540, 31472, 769, 20287, 631, 13783, 540, 667, 9573, 291, 563, 3725, 5562, 631, 13783, 3157, 267, 849, 1572, 5687, 657, 564, 27724, 3157, 267, 946, 5687, 657, 564, 2326, 269, 18567, 540, 5687, 657, 1115, 3114, 5114, 1282, 519, 27724, 1184, 269, 3444, 30499, 12249, 2497, 269, 21800, 12249, 1436, 543, 5935, 1282, 519, 27724, 1184, 269, 1234, 5562, 3157, 31472, 769, 20287, 631, 13783, 630, 6020, 300, 1040, 634, 27724, 1184, 814, 1896, 11393, 547, 824, 27724, 3157, 269, 634, 1739, 568, 513, 2110, 1592, 540, 930, 540, 519, 11393, 547, 769, 20287, 631, 13783, 269, 901, 568, 711, 513, 9053, 1505, 540, 5663, 585, 2110, 2504, 8255, 907, 22020, 540, 21311, 769, 20287, 631, 13783, 910, 21311, 20070, 322, 564, 542, 631, 13783, 568, 519, 1184, 540, 8888, 543, 5663, 513, 11295, 9044, 585, 1587, 547, 581, 1500, 2417, 16638, 20287, 27724, 1184, 568, 540, 1079, 2010, 5068, 13297, 27724, 543, 2688, 13297, 27724, 269, 631, 13783, 568, 5631, 2944, 585, 2870, 513, 9044, 2497, 538, 799, 519, 9044, 568, 4904, 543, 563, 18773, 305, 574, 10046, 12810, 5450, 1359, 5149, 645, 589, 32680, 17186, 3650, 22732, 532, 13749, 11638, 21178, 566, 23580, 1467, 5084, 309, 3198, 290, 3633, 11555, 3722, 3582, 5442, 297, 4488, 3582, 631, 5357, 291, 5058, 570, 22379, 18647, 305, 574, 10022, 717, 639, 1067, 268, 3849, 332, 12637, 267, 5549, 269, 634, 6516, 9727, 519, 11460, 717, 639, 1067, 268, 3849, 332, 12637, 18252, 585, 519, 29504, 543, 11166, 11084, 269, 1280, 3608, 269, 5068, 13297, 27724, 1184, 269, 3040, 1323, 7650, 540, 519, 1184, 568, 4843, 269, 3040, 31834, 540, 5068, 2326, 568, 12649, 269, 3040, 2677, 18587, 540, 519, 13297, 3684, 616, 2143, 269, 3040, 27718, 2010, 543, 1374, 616, 6045, 269, 769, 20287, 631, 13783, 901, 568, 519, 1034, 1455, 1505, 269, 3057, 476, 1789, 267, 476, 1001, 278, 5788, 769, 20287, 22285, 532, 1888, 269, 22217, 1881, 6516, 540, 519, 1184, 769, 20287, 22285, 532, 5696, 292, 610, 769, 20287, 27724, 2549, 292, 2073, 568, 513, 5663, 1184, 585, 6721, 2694, 676, 563, 320, 15074, 269, 4935, 267, 3379, 609, 5687, 31129, 13297, 27724, 267, 519, 5687, 657, 23293, 610, 27955, 5114, 3123, 606, 3063, 28658, 538, 9781, 519, 681, 8379, 1184, 269, 4014, 681, 8379, 814, 1044, 8045, 538, 1896, 538, 268, 20287, 27724, 11191, 3292, 267, 5464, 519, 11423, 3942, 540, 519, 681, 8379, 1184, 676, 10230, 1138, 3121, 268, 269, 634, 28176, 6516, 540, 5114, 13297, 27724, 568, 3254, 538, 4137, 476, 273, 269, 7612, 476, 273, 31472, 13297, 27724, 1184, 269, 13335, 634, 1184, 568, 1134, 14018, 585, 1164, 2504, 4320, 693, 1970, 1942, 2523, 585, 16669, 2694, 269, 30003, 1806, 616, 281, 14825, 12067, 8440, 267, 2011, 27253, 619, 267, 535, 11367, 267, 1560, 8440, 267, 3673, 807, 267, 543, 563, 5522, 10415, 1500, 3501, 910, 7300, 3487, 12889, 14419, 1761, 851, 12889, 971, 607, 28891, 3515, 267, 2011, 20637, 267, 543, 16173, 269, 476, 275, 769, 20287, 27724, 1184, 4429, 288, 1505, 547, 2087, 21021, 6111, 543, 7344, 3601, 3267, 717, 9573, 13297, 27724, 1184, 543, 519, 6476, 540, 3154, 2604, 14258, 1063, 595, 8379, 1184, 543, 717, 9573, 454, 18893, 30093, 21512, 300, 1184, 609, 2604, 8596, 910, 1773, 770, 1460, 2622, 476, 273, 2480, 11490, 6516, 540, 606, 18300, 4483, 22285, 532, 630, 20670, 300, 264, 1184, 454, 5522, 10415, 12752, 3509, 4922, 18312, 3157, 3565, 547, 519, 3803, 2504, 540, 513, 8737, 2376, 1500, 28025, 610, 14356, 540, 15229, 269, 2368, 3157, 616, 17033, 4429, 23777, 673, 12432, 5663, 3157, 269, 630, 320, 264, 570, 1901, 2482, 5346, 1184, 3267, 30003, 12432, 5663, 3157, 269, 630, 320, 264, 570, 1901, 2482, 5346, 1184, 269, 630, 321, 454, 7093, 17800, 13297, 27724, 540, 1863, 845, 25852, 2433, 11628, 30677, 3267, 22217, 1881, 28176, 540, 13297, 13496, 27724, 1184, 563, 277, 281, 634, 1523, 540, 513, 264, 13297, 27724, 543, 536, 264, 5114, 13297, 3267, 476, 277, 281, 634, 1523, 540, 513, 264, 13297, 27724, 543, 536, 264, 5114, 13297, 27724, 269, 0, 8266, 540, 25307, 20708, 625, 454, 347, 8512, 540, 513, 3126, 593, 2008, 1607, 1592, 540, 25307, 20708, 625, 568, 513, 17609, 540, 3140, 543, 4207, 20708, 625, 540, 25307, 13221, 1369, 519, 2802, 7224, 14426, 17230, 3294, 543, 11992, 269, 25307, 20708, 625, 616, 1568, 540, 11265, 267, 3182, 3645, 267, 16560, 543, 5251, 1148, 269, 634, 4190, 23906, 1723, 525, 10367, 13556, 593, 16536, 543, 1114, 20955, 267, 519, 19870, 540, 519, 5386, 3029, 13269, 609, 519, 1034, 4977, 8856, 616, 2189, 20375, 540, 1158, 2686, 6561, 269, 31453, 1308, 23477, 538, 3574, 8364, 1324, 543, 25307, 21915, 878, 5931, 4734, 519, 21951, 7362, 1652, 269, 3962, 1984, 9014, 540, 519, 25307, 5931, 593, 799, 25307, 20577, 1451, 269, 3245, 873, 267, 789, 723, 513, 5898, 543, 11419, 602, 666, 581, 3379, 547, 519, 1034, 3501, 1289, 15572, 545, 25704, 1634, 547, 812, 269, 4595, 3504, 2053, 267, 519, 6777, 344, 17633, 538, 17230, 723, 1044, 4025, 540, 7326, 267, 1702, 543, 6667, 585, 782, 2482, 5443, 267, 7488, 540, 741, 4984, 563, 763, 4025, 1141, 519, 20708, 625, 4473, 616, 2189, 267, 1317, 789, 616, 519, 1034, 10723, 4025, 585, 1004, 711, 1152, 689, 17230, 855, 849, 689, 519, 2898, 22615, 18885, 25170, 269, 1452, 616, 4025, 4904, 609, 2620, 1686, 543, 723, 606, 1271, 8978, 2597, 585, 519, 1686, 540, 5607, 269, 634, 5898, 540, 891, 4025, 568, 865, 22023, 626, 1043, 602, 952, 606, 7376, 16976, 547, 4766, 621, 267, 646, 786, 711, 581, 2111, 547, 269, 634, 4778, 540, 519, 5251, 1689, 7683, 538, 900, 14283, 267, 6777, 344, 3043, 547, 1769, 4544, 543, 19987, 269, 634, 25307, 17934, 879, 543, 922, 4778, 616, 519, 1034, 2352, 547, 30712, 676, 519, 5159, 269, 27413, 538, 713, 3148, 616, 5393, 1950, 543, 2352, 547, 2721, 563, 21270, 1228, 22894, 3933, 2120, 344, 1475, 289, 1872, 520, 267, 28740, 31322, 32534, 16323, 1475, 294, 601, 1872, 1475, 14690, 280, 2008, 347, 2419, 6545, 600, 932, 334, 681, 328, 1475, 2419, 2313, 592, 267, 772, 6874, 338, 836, 1475, 1691, 628, 2540, 1475, 291, 652, 5797, 539, 538, 476, 4198, 280, 1475, 5228, 932, 6545, 600, 15167, 6516, 1500, 538, 476, 6942, 279, 2008, 25238, 528, 16660, 19537, 330, 1475, 299, 327, 24499, 1475, 301, 3539, 2742, 1475, 9610, 271, 267, 476, 15094, 271, 267, 476, 3422, 271, 338, 538, 3127, 1475, 14378, 278, 267, 476, 3422, 271, 338, 1475, 3080, 540, 519, 3670, 834, 301, 3539, 14090, 320, 3993, 20708, 625, 1701, 2008, 25238, 10517, 2426, 1475, 299, 13757, 320, 1475, 294, 601, 1872, 1475, 15221, 277, 1475, 12709, 27694, 540, 519, 18243, 2967, 700, 4821, 269, 5853, 539, 676, 11918, 344, 836, 932, 334, 16660, 269, 667, 10517, 2426, 729, 13840, 519, 4102, 27694, 538, 17230, 607, 1134, 607, 519, 4102, 538, 519, 1158, 2394, 519, 19797, 4457, 12289, 8198, 25238, 3419, 2426, 1475, 299, 13757, 320, 2776, 2739, 675, 1475, 298, 698, 344, 340, 1475, 14056, 280, 267, 476, 2735, 271, 338, 1475, 3422, 271, 338, 2008, 25238, 345, 690, 7770, 1475, 298, 5069, 1475, 301, 3539, 2742, 1475, 12739, 275, 1475, 3080, 540, 519, 3670, 834, 301, 3539, 14090, 320, 3993, 20708, 625, 1701, 2008, 347, 294, 663, 523, 1475, 299, 13757, 320, 2776, 2739, 675, 1475, 294, 601, 1872, 1475, 9610, 280, 1475, 4198, 280, 267, 476, 3422, 277, 1475, 5353, 520, 540, 519, 717, 663, 523, 25676, 320, 269, 5853, 539, 676, 17578, 784, 16223, 23981, 538, 476, 9610, 280, 8198, 347, 294, 344, 636, 599, 543, 21859, 19513, 13722, 543, 16592, 570, 656, 878, 30793, 2471, 1475, 25629, 836, 1475, 294, 601, 1872, 1475, 16960, 274, 543, 476, 15704, 276, 2008, 347, 297, 758, 28702, 13527, 1475, 299, 13757, 320, 1475, 294, 601, 1872, 1475, 4792, 273, 1475, 5353, 3164, 569, 12456, 3042, 676, 19797, 4457, 4658, 781, 8644, 3130, 8136, 538, 4728, 267, 476, 4198, 280, 1475, 299, 13757, 320, 1292, 11454, 269, 590, 4660, 547, 723, 1044, 3710, 676, 3751, 14576, 1206, 523, 717, 2086, 334, 538, 476, 5038, 278, 282, 513, 2101, 31145, 3135, 8198, 347, 297, 517, 836, 1912, 2863, 338, 758, 1782, 3933, 2120, 344, 1475, 25629, 836, 1475, 297, 517, 836, 1475, 1691, 628, 2540, 2008, 347, 298, 731, 836, 1475, 299, 1695, 4954, 1475, 291, 745, 330, 11985, 1475, 1321, 628, 2540, 1475, 14611, 27694, 538, 700, 1695, 4954, 8198, 347, 298, 12609, 717, 7238, 333, 3933, 2120, 344, 1475, 298, 5069, 1475, 298, 698, 344, 340, 1475, 14625, 278, 1475, 5353, 520, 540, 519, 476, 272, 560, 547, 519, 476, 278, 628, 12872, 23063, 1575, 320, 2008, 347, 298, 520, 758, 1475, 294, 541, 2763, 1475, 301, 3539, 2742, 1475, 12893, 280, 1475, 3080, 540, 519, 3670, 834, 301, 3539, 14090, 320, 3993, 20708, 625, 2668, 2008, 347, 298, 518, 340, 13527, 1475, 383, 506, 1475, 301, 3539, 2742, 1475, 13232, 268, 279, 628, 2540, 2008, 347, 298, 327, 1105, 340, 3933, 2120, 344, 1475, 299, 327, 758, 3873, 1475, 301, 3539, 2742, 1475, 1626, 628, 2540, 2008, 347, 298, 4243, 327, 752, 13527, 1475, 310, 3480, 17230, 2008, 347, 24248, 337, 836, 3933, 2120, 344, 1475, 8649, 4777, 1475, 294, 601, 1872, 1475, 10204, 280, 1475, 24078, 8547, 538, 476, 10204, 280, 676, 519, 1101, 11918, 344, 836, 11809, 599, 11985, 267, 31436, 1177, 836, 17578, 1180, 745, 8198, 23277, 698, 584, 21601, 4445, 531, 700, 532, 1475, 8649, 4777, 1475, 294, 601, 1872, 1475, 13932, 277, 2008, 347, 21790, 13764, 1475, 299, 327, 758, 3873, 1475, 301, 3539, 2742, 1475, 3080, 540, 519, 3670, 834, 301, 3539, 14090, 320, 3993, 20708, 625, 1701, 2008, 347, 301, 836, 3333, 328, 3933, 2120, 344, 1475, 301, 326, 19487, 267, 2549, 4777, 2008, 347, 301, 344, 996, 836, 667, 1503, 2742, 700, 327, 12112, 836, 13527, 1475, 383, 506, 2008, 19064, 629, 517, 6390, 19555, 5146, 1475, 299, 13757, 320, 1475, 294, 601, 1872, 1475, 278, 628, 2540, 1475, 5715, 8817, 1354, 476, 4198, 280, 267, 814, 20705, 547, 590, 5028, 2094, 476, 2735, 271, 8198, 347, 294, 344, 656, 572, 623, 1779, 528, 932, 7238, 1372, 3933, 2120, 344, 1475, 25629, 836, 2008, 19064, 531, 335, 2426, 1475, 291, 10235, 1475, 298, 698, 344, 340, 1475, 15094, 278, 1475, 293, 15903, 676, 519, 476, 279, 628, 32163, 623, 4545, 1156, 267, 1530, 520, 540, 519, 12872, 23063, 1575, 320, 543, 11918, 12455, 15158, 13700, 592, 8198, 19064, 3315, 592, 1475, 303, 3315, 592, 1475, 301, 3539, 2742, 1475, 3080, 540, 519, 3670, 834, 301, 3539, 14090, 320, 3993, 20708, 625, 2668, 4033, 7936, 834, 301, 600, 323, 1503, 532, 3933, 2120, 344, 257, 3964, 676, 6755, 528, 681, 514, 335, 28970, 538, 3127, 267, 538, 476, 3422, 274, 2008, 19064, 684, 752, 3873, 667, 345, 784, 1475, 289, 327, 27175, 1475, 291, 745, 330, 11985, 1475, 310, 5793, 1753, 540, 519, 6239, 3933, 330, 10610, 2008, 31340, 531, 2426, 1475, 291, 745, 330, 11985, 1475, 5353, 520, 540, 519, 717, 9234, 342, 836, 667, 745, 330, 11985, 2008, 31340, 6737, 3220, 1846, 836, 1475, 298, 7568, 31540, 1475, 294, 601, 1872, 1475, 13528, 28861, 593, 519, 856, 12921, 16630, 540, 700, 13757, 320, 267, 855, 1631, 556, 28004, 538, 5045, 3127, 8198, 31340, 12685, 28970, 1475, 298, 5069, 1475, 298, 698, 344, 340, 1475, 5353, 520, 540, 519, 28635, 331, 2426, 918, 698, 344, 340, 22871, 8198, 31340, 784, 6851, 717, 7238, 333, 7770, 3933, 2120, 344, 1475, 8649, 4777, 2008, 16085, 752, 5984, 1475, 25629, 836, 1475, 306, 752, 5984, 1475, 5353, 520, 540, 519, 590, 752, 5984, 10222, 345, 514, 8198, 16085, 600, 6614, 3933, 2120, 344, 1475, 383, 506, 1475, 278, 4037, 910, 476, 6507, 280, 2008, 16085, 600, 6614, 1475, 301, 3539, 2742, 1475, 5575, 27694, 538, 17230, 267, 3964, 676, 22087, 5733, 3711, 327 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7075, 2996, 946, 741, 1486, 847, 528, 547, 2268, 543, 30712, 3670, 7285, 593, 741, 8642, 28013, 538, 513, 2241, 267, 10477, 267, 2534, 563, 272, 14635, 476, 7906, 14358, 476, 5392, 20042, 18938, 281, 23850, 454, 268, 1306, 513, 3636, 909, 267, 2307, 6267, 547, 2012, 1806, 540, 7285, 789, 1294, 538, 741, 2729, 543, 5924, 1397, 6267, 5961, 540, 7285, 538, 519, 1158, 454, 268, 16259, 11954, 3556, 6006, 609, 8642, 28013, 23652, 593, 621, 1354, 519, 3992, 630, 821, 585, 1142, 1895, 1070, 543, 1832, 873, 585, 2104, 946, 1932, 454, 268, 22291, 3992, 1544, 543, 8642, 28013, 0, 1607, 4199, 5161, 540, 476, 279, 1114, 13004, 2534, 4247, 547, 798, 609, 1053, 538, 7690, 270, 16721, 610, 6103, 476, 272, 269, 3962, 2534, 6212, 593, 513, 1114, 13004, 5578, 269, 901, 1770, 568, 3501, 585, 519, 1439, 540, 519, 2165, 267, 1141, 1053, 666, 5031, 741, 1565, 269, 634, 1739, 2127, 616, 9619, 538, 713, 4199, 912, 272, 269, 29570, 543, 8846, 454, 274, 269, 7089, 6284, 454, 275, 269, 20492, 540, 476, 1015, 779, 543, 4557, 14604, 454, 276, 269, 476, 273, 291, 5546, 454, 5472, 2238, 616, 1759, 1472, 519, 1453, 779, 1650, 1433, 2048, 28012, 4414, 681, 4575, 32431, 9957, 1452, 2238, 616, 3362, 21630, 543, 782, 3946, 593, 269, 594, 9514, 519, 2534, 9212, 909, 547, 589, 274, 543, 1205, 519, 1453, 547, 7990, 538, 519, 2063, 2985, 543, 20013, 741, 960, 1927, 547, 1118, 513, 2027, 27412, 15386, 782, 741, 2182, 960, 693, 519, 1439, 563, 2171, 4126, 596, 2972, 1210, 713, 4199, 609, 707, 1053, 269, 0, 16165, 5723, 1299, 23184, 700, 8577, 2177, 623, 19272, 4953, 910, 966, 3201, 16604, 5508, 715, 9331, 289, 8991, 630, 20278, 10025, 264, 910, 910, 6423, 519, 2776, 1613, 585, 513, 7305, 540, 12937, 540, 713, 17142, 563, 27237, 292, 281, 901, 3400, 321, 1299, 3619, 7689, 13268, 564, 2882, 513, 1747, 1871, 966, 3201, 16604, 5508, 715, 9331, 289, 8991, 269, 901, 17142, 4422, 689, 519, 2201, 525, 1974, 998, 2290, 25569, 28985, 269, 634, 3211, 543, 7317, 3817, 616, 21630, 538, 476, 274, 2157, 865, 602, 1053, 711, 3833, 4712, 585, 519, 6634, 666, 7119, 563, 6701, 596, 14129, 3843, 547, 5531, 3388, 585, 707, 4245, 1142, 1554, 286, 5213, 1405, 596, 6999, 972, 729, 513, 17142, 602, 1185, 1175, 827, 3388, 596, 1223, 1589, 540, 585, 707, 3232, 3992, 4433, 264, 827, 519, 1871, 540, 2338, 269, 2060, 1250, 1007, 3400, 321, 1299, 3619, 7689, 13268, 1115, 267, 594, 993, 15691, 547, 1118, 707, 1272, 513, 2370, 1447, 17173, 676, 3257, 519, 7041, 540, 2326, 585, 596, 256, 1411, 786, 581, 4712, 585, 4376, 2336, 1607, 3400, 321, 1299, 3619, 7689, 13268, 564, 2882, 519, 1739, 3688, 912, 268, 20308, 8074, 1504, 9664, 910, 476, 276, 4704, 3817, 267, 630, 10175, 513, 6863, 2985, 264, 543, 476, 273, 1114, 960, 3817, 267, 1142, 609, 476, 274, 21630, 2157, 267, 630, 277, 3211, 538, 782, 1916, 268, 476, 276, 22387, 31745, 832, 932, 11301, 910, 630, 309, 665, 5879, 3769, 994, 268, 10049, 585, 519, 11819, 630, 1729, 948, 4001, 707, 3992, 2187, 265, 8139, 9255, 10025, 18963, 454, 265, 8266, 540, 476, 2420, 1114, 1747, 1871, 5712, 454, 265, 30206, 7726, 2059, 609, 4116, 8846, 454, 265, 10574, 14635, 2985, 454, 268, 7756, 7007, 6096, 630, 476, 273, 5036, 540, 3211, 264, 910, 476, 274, 2157, 910, 1970, 267, 13591, 267, 543, 1164, 630, 277, 3211, 538, 782, 264, 910, 8382, 10569, 616, 3769, 563, 268, 1401, 527, 6215, 760, 910, 1452, 616, 711, 1377, 539, 269, 1703, 616, 476, 275, 14827, 1793, 2354, 547, 513, 2985, 269, 2422, 891, 547, 575, 720, 875, 1134, 1053, 6956, 519, 2596, 3992, 4843, 269, 8382, 1883, 568, 3769, 563, 268, 9906, 11314, 910, 7335, 14066, 10606, 910, 22291, 8846, 267, 30453, 543, 2070, 1265, 619, 585, 2542, 2338, 7157, 563, 268, 22923, 11314, 910, 630, 273, 7756, 2747, 20946, 264, 910, 10025, 540, 10606, 15350, 10794, 454, 268, 17564, 7726, 910, 630, 1607, 568, 519, 1482, 4901, 2243, 538, 519, 11819, 10049, 1657, 4700, 901, 2243, 666, 581, 1031, 2705, 5551, 563, 27237, 292, 281, 1703, 616, 1100, 4441, 7396, 267, 2094, 972, 616, 865, 1082, 1585, 4441, 1373, 1031, 693, 1459, 269, 1717, 267, 891, 4441, 616, 15095, 609, 5871, 11759, 13437, 11621, 849, 269, 634, 17142, 729, 2813, 609, 5580, 10026, 1153, 1053, 538, 2247, 563, 6826, 2386, 547, 3643, 1250, 4558, 543, 2070, 1250, 824, 16998, 5723, 1299, 23184, 4569, 7689, 13268, 1115, 912, 4306, 13263, 19181, 1315, 12327, 303, 13263, 3633, 1315, 654, 305, 3951, 307, 2894, 6730, 645, 17955, 476, 1015, 11123, 5960, 5508, 715, 9331, 289, 8991, 3400, 321, 1299, 3619, 7689, 13268, 564, 454, 23490, 22664, 6730, 10758, 29308, 715, 9331, 289, 8991, 268, 3400, 321, 1299, 3619, 7689, 13268, 564, 454, 4629, 26685, 5058, 14959, 4041, 715, 9331, 289, 8991, 910, 3400, 321, 1299, 3619, 7689, 13268, 564, 454, 299, 2562, 2464, 267, 700, 12114, 590, 9680, 300, 19006, 267, 17241, 22076, 1299, 18161, 2562, 4811, 3400, 321, 1299, 3619, 7689, 13268, 564, 454, 19860, 8991, 4488, 16249, 267, 24315, 3201, 4041, 299, 267, 6730, 25783, 303, 21715, 2975, 8085, 2752, 700, 2562, 2464, 3400, 321, 1299, 3619, 7689, 13268, 564, 454, 12710, 19798, 9281, 312, 5058, 4888, 21923, 2464, 3400, 321, 1299, 3619, 7689, 13268, 564, 454, 273, 5937, 8379, 2894, 31064, 3201, 15562, 4338, 2464, 3400, 321, 1299, 3619, 7689, 13268, 564, 0, 6962, 547, 606, 12819, 1557, 454, 1692, 547, 2328, 606, 12819, 1557, 1620, 875, 547, 2497, 543, 2328, 606, 12819, 1557, 568, 513, 3730, 5578, 2178, 12819, 3594, 1459, 4143, 269, 1215, 547, 2328, 12819, 1557, 3932, 635, 10950, 547, 4081, 22967, 875, 547, 2328, 12819, 1557, 3932, 4945, 1934, 585, 3946, 6823, 2238, 602, 269, 1230, 7501, 616, 1175, 607, 1271, 607, 31047, 519, 3932, 32195, 519, 1557, 543, 13290, 547, 2673, 519, 3390, 519, 2832, 568, 547, 18609, 519, 5467, 602, 707, 1557, 269, 5484, 2182, 2131, 641, 325, 943, 323, 5098, 3932, 547, 10388, 1557, 519, 1743, 19276, 1065, 8527, 948, 609, 721, 1686, 6780, 269, 5192, 948, 609, 1603, 10388, 3594, 609, 3932, 267, 2638, 1557, 7291, 543, 16643, 1557, 3898, 267, 1451, 827, 5098, 3948, 267, 1265, 856, 1018, 476, 4335, 2262, 1557, 568, 563, 16240, 2533, 585, 6138, 1557, 3932, 540, 12819, 1557, 21897, 1198, 1557, 3771, 10542, 943, 323, 5098, 2228, 269, 594, 4076, 2322, 1927, 513, 1592, 540, 1557, 8753, 602, 3382, 513, 2039, 540, 3584, 543, 1557, 12043, 547, 4196, 607, 513, 19480, 6149, 585, 10388, 1557, 3932, 1806, 269, 589, 2596, 3391, 593, 875, 547, 2328, 513, 1390, 12819, 1557, 875, 547, 2328, 606, 12819, 1557, 519, 3932, 540, 713, 3898, 568, 513, 1964, 622, 618, 540, 707, 3409, 563, 16240, 606, 12819, 1557, 3340, 596, 547, 9718, 513, 2990, 585, 799, 972, 568, 811, 982, 835, 2427, 547, 2328, 606, 12819, 1557, 267, 946, 5013, 267, 7194, 269, 5675, 606, 12819, 1557, 519, 3932, 540, 713, 3898, 568, 513, 1964, 622, 618, 540, 540, 519, 1292, 2093, 707, 3409, 543, 513, 5758, 540, 519, 1344, 602, 269, 29480, 3594, 616, 513, 1390, 1259, 547, 5000, 519, 5467, 547, 1413, 693, 513, 1978, 1888, 538, 513, 1114, 1769, 1310, 2542, 707, 1557, 267, 596, 1616, 519, 5467, 547, 1589, 269, 10261, 948, 609, 7084, 3932, 547, 10388, 1557, 530, 5942, 1557, 5856, 4444, 16056, 585, 1603, 1053, 609, 1100, 960, 1995, 563, 2414, 2328, 606, 2500, 4661, 1557, 267, 596, 1590, 581, 2111, 547, 1382, 513, 1888, 543, 1683, 4396, 267, 20310, 2963, 547, 1489, 707, 18879, 269, 1215, 666, 1775, 1439, 1250, 16377, 1557, 609, 513, 2178, 3932, 875, 666, 1775, 1439, 1250, 16377, 1557, 609, 513, 2178, 875, 798, 1775, 1376, 513, 10388, 1557, 269, 1230, 6984, 513, 10388, 1557, 606, 23696, 10388, 3932, 1775, 723, 2016, 596, 1614, 5168, 995, 3137, 540, 1946, 3232, 6780, 568, 606, 705, 558, 1588, 547, 519, 269, 13335, 585, 2852, 16075, 4484, 3932, 540, 12819, 1557, 2688, 1557, 18959, 2852, 3498, 1557, 948, 2228, 269, 1215, 547, 2328, 513, 1957, 593, 3987, 3932, 547, 606, 12819, 1557, 2724, 18085, 4444, 8788, 1557, 7291, 1965, 331, 1382, 1957, 563, 1432, 568, 606, 12819, 1557, 519, 12819, 1557, 568, 513, 9135, 540, 1603, 602, 3340, 519, 2875, 547, 8495, 513, 1888, 2445, 267, 5352, 267, 543, 6218, 269, 1323, 12819, 1557, 568, 513, 1880, 1826, 540, 4081, 1603, 3932, 281, 782, 1919, 2808, 267, 607, 3254, 1657, 267, 538, 3932, 267, 585, 519, 1034, 851, 269, 3371, 568, 519, 1592, 540, 519, 1034, 2442, 12819, 1557, 3584, 540, 476, 1001, 278, 596, 666, 2901, 946, 1022, 540, 891, 3584, 585, 707, 1557, 610, 1205, 835, 2854, 585, 596, 689, 15072, 269, 32027, 1927, 606, 12819, 1557, 7291, 568, 519, 3501, 1259, 547, 1205, 3323, 593, 707, 12819, 1557, 707, 3932, 12819, 1557, 269, 7736, 532, 519, 1557, 281, 8753, 9959, 676, 28196, 1456, 835, 540, 519, 1883, 2474, 540, 707, 4661, 585, 1383, 267, 606, 1557, 593, 2261, 343, 781, 2126, 540, 519, 4655, 563, 268, 20895, 707, 1557, 10388, 3594, 3622, 723, 513, 1360, 2312, 3898, 267, 799, 2337, 596, 1459, 707, 4661, 538, 513, 2312, 543, 8903, 1259, 563, 268, 901, 530, 23943, 786, 4001, 596, 875, 547, 2328, 513, 3932, 543, 1439, 707, 1557, 609, 513, 538, 519, 4636, 2796, 630, 534, 16878, 1557, 267, 610, 606, 12819, 1557, 264, 621, 563, 1607, 568, 513, 3732, 3381, 689, 513, 3381, 5850, 1576, 11331, 875, 547, 2328, 513, 1434, 12819, 1557, 538, 713, 3381, 649, 1413, 693, 519, 3932, 540, 513, 3732, 269, 1411, 1631, 917, 875, 547, 2328, 519, 1560, 540, 606, 12819, 1557, 538, 519, 1985, 1079, 6810, 540, 713, 1770, 596, 786, 1451, 875, 547, 2328, 606, 4367, 543, 513, 3932, 269, 1403, 596, 723, 2760, 2854, 606, 12819, 1557, 267, 596, 991, 547, 1451, 513, 2603, 827, 621, 1991, 547, 7231, 609, 621, 4388, 543, 15361, 616, 1934, 269, 0, 6124, 1888, 12819, 1557, 593, 2470, 5288, 20741, 2470, 5288, 20741, 519, 7521, 5473, 2470, 610, 20741, 607, 621, 12211, 547, 1126, 1646, 814, 1044, 5571, 269, 7186, 5288, 20741, 519, 2470, 8957, 20741, 7521, 4145, 519, 3448, 2956, 540, 606, 1367, 781, 17916, 7907, 8957, 2123, 2833, 538, 8159, 610, 4929, 3604, 538, 2168, 543, 8965, 7592, 563, 763, 2470, 5288, 20741, 7521, 1369, 6530, 568, 7255, 609, 519, 6708, 547, 799, 1880, 3344, 540, 2623, 616, 513, 1587, 540, 2901, 15110, 630, 773, 267, 4719, 264, 610, 9715, 630, 773, 267, 4121, 264, 4162, 269, 1548, 547, 2015, 950, 7446, 707, 2470, 5288, 20741, 4930, 1413, 585, 10881, 540, 17258, 519, 2470, 5288, 20741, 7521, 568, 835, 602, 814, 1044, 2469, 2178, 585, 1082, 1296, 269, 898, 568, 1634, 607, 519, 2470, 8957, 20741, 7521, 519, 4583, 2470, 5288, 20741, 7521, 936, 1480, 2623, 8507, 689, 20849, 5784, 1063, 28288, 540, 519, 12214, 630, 333, 1155, 264, 543, 25349, 630, 333, 4669, 675, 264, 3137, 563, 10403, 1557, 281, 519, 2470, 268, 20741, 7521, 814, 1082, 1114, 2013, 2090, 267, 799, 1419, 2055, 2825, 543, 22420, 3344, 540, 519, 2470, 268, 20741, 269, 634, 7521, 1063, 2470, 5288, 20741, 568, 835, 540, 519, 13074, 543, 1034, 12699, 3283, 538, 519, 1686, 540, 6530, 519, 2474, 968, 333, 1155, 892, 543, 968, 333, 4669, 675, 892, 3277, 547, 519, 5107, 540, 1604, 543, 19021, 640, 538, 519, 1646, 540, 513, 1480, 20369, 3832, 269, 7186, 8957, 20741, 713, 568, 513, 1455, 7521, 28772, 5505, 616, 538, 3586, 2243, 936, 538, 14621, 547, 519, 1646, 540, 606, 1367, 779, 7209, 267, 930, 3494, 602, 835, 568, 4535, 609, 606, 17916, 7209, 563, 26903, 5288, 20741, 568, 606, 5571, 7521, 538, 1480, 1646, 713, 3732, 1557, 5654, 693, 1312, 5011, 607, 1134, 607, 519, 1079, 2324, 538, 14966, 609, 835, 1776, 269, 634, 2470, 20741, 7521, 568, 1141, 15806, 543, 17695, 626, 8044, 602, 649, 616, 4535, 547, 581, 519, 1259, 649, 616, 824, 17695, 626, 13187, 602, 621, 568, 519, 1259, 649, 616, 4547, 909, 543, 6766, 676, 519, 2127, 4478, 721, 630, 523, 1444, 1040, 634, 2470, 8957, 20741, 7521, 568, 835, 540, 519, 1034, 5996, 565, 3176, 538, 519, 2361, 540, 6530, 538, 519, 476, 1704, 628, 2540, 267, 513, 18008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 306, 26237, 1700, 306, 27149, 563, 2190, 269, 670, 826, 321, 1676, 20336, 267, 918, 1122, 7062, 15382, 267, 1234, 321, 577, 809, 10648, 267, 1696, 620, 907, 4317, 15746, 267, 5626, 13438, 267, 543, 796, 31695, 26697, 1851, 1762, 3109, 2367, 945, 723, 3023, 609, 2367, 454, 269, 2657, 5369, 565, 269, 476, 1001, 274, 282, 3451, 281, 14444, 279, 1700, 14991, 279, 563, 1839, 269, 2776, 8725, 24766, 267, 667, 262, 13971, 22088, 8121, 267, 918, 817, 629, 7131, 267, 1696, 620, 907, 634, 2078, 540, 16663, 454, 1729, 519, 4638, 1981, 2623, 540, 6917, 2367, 945, 723, 3023, 609, 2367, 454, 269, 15978, 3447, 2776, 341, 269, 476, 1220, 278, 282, 866, 281, 25908, 1700, 15996, 563, 2918, 269, 3281, 553, 18688, 267, 1230, 24335, 4149, 19431, 808, 298, 267, 17865, 345, 2006, 670, 267, 1696, 620, 907, 10515, 532, 454, 5976, 2566, 1282, 6689, 543, 18273, 281, 2042, 267, 3356, 543, 1761, 538, 3069, 543, 1382, 269, 5369, 565, 18409, 269, 476, 1220, 272, 282, 14096, 281, 9032, 277, 1700, 4200, 273, 563, 2767, 269, 16019, 11632, 267, 918, 9820, 518, 10911, 269, 589, 7811, 5133, 593, 12003, 454, 269, 808, 4317, 12983, 269, 476, 1220, 272, 282, 6872, 281, 10463, 1700, 10844, 563, 2764, 269, 3619, 742, 2006, 661, 269, 853, 7950, 454, 281, 11872, 593, 519, 5004, 540, 1975, 334, 6150, 14740, 269, 1621, 548, 6229, 1849, 14554, 267, 27359, 281, 623, 1370, 823, 6953, 718, 282, 476, 3422, 274, 563, 3066, 269, 19731, 731, 654, 307, 267, 3371, 330, 10648, 267, 10548, 752, 16194, 3534, 808, 267, 1696, 620, 907, 7486, 5829, 16663, 454, 281, 15268, 513, 7811, 5943, 585, 946, 538, 3127, 269, 4317, 2233, 2405, 269, 476, 1220, 279, 282, 6858, 281, 14338, 276, 1700, 11277, 276, 563, 1789, 269, 2423, 985, 24849, 22622, 267, 932, 7596, 7546, 22804, 269, 3245, 12497, 1944, 547, 7893, 7486, 16663, 454, 281, 513, 2689, 540, 7486, 16663, 454, 1889, 2559, 1143, 3800, 269, 15978, 20409, 269, 476, 1220, 280, 282, 1724, 281, 14138, 271, 1700, 14056, 278, 563, 4029, 269, 2423, 985, 24849, 22622, 267, 8055, 700, 305, 267, 932, 7596, 7546, 22804, 267, 1696, 620, 907, 7486, 16663, 454, 1889, 2559, 3359, 543, 1134, 5630, 1851, 12813, 20062, 281, 513, 1449, 540, 519, 7486, 16663, 454, 325, 1090, 1168, 1251, 269, 15978, 20409, 269, 476, 1001, 274, 282, 1704, 281, 9965, 276, 1700, 9692, 276, 563, 3953, 269, 29484, 1343, 19505, 267, 19731, 731, 654, 307, 267, 932, 16211, 918, 269, 10495, 540, 16663, 454, 339, 578, 1841, 32270, 538, 3624, 454, 281, 513, 1353, 540, 2367, 945, 723, 3023, 609, 2367, 454, 269, 5246, 11557, 20409, 269, 476, 1220, 279, 282, 4391, 281, 279, 4343, 1700, 279, 4510, 563, 3451, 269, 29502, 590, 289, 269, 14740, 2359, 2994, 8246, 676, 24139, 543, 14447, 5520, 269, 6828, 5029, 5004, 269, 476, 1220, 275, 282, 3066, 281, 30420, 1700, 5392, 275, 563, 4097, 269, 21007, 4900, 5652, 808, 267, 17664, 9460, 269, 6520, 543, 4965, 269, 808, 2657, 4317, 20409, 269, 476, 1960, 273, 282, 3451, 281, 6942, 1700, 13078, 563, 3374, 269, 14216, 690, 582, 529, 30838, 269, 16684, 10835, 11891, 281, 606, 2606, 1867, 269, 5369, 565, 3115, 269, 476, 2735, 274, 282, 1724, 281, 276, 4817, 1700, 2568, 276, 563, 3607, 269, 932, 16211, 918, 295, 267, 19731, 731, 654, 307, 267, 631, 773, 613, 623, 267, 21972, 525, 661, 267, 15535, 528, 747, 10323, 269, 20351, 16663, 454, 560, 5138, 267, 543, 5626, 11605, 281, 513, 19976, 1353, 540, 2367, 945, 723, 3023, 609, 2367, 454, 514, 19864, 267, 3624, 454, 269, 5246, 11557, 20409, 269, 476, 1001, 277, 282, 3393, 281, 16825, 274, 1700, 14983, 272, 563, 4391, 269, 7720, 623, 298, 267, 700, 879, 808, 307, 267, 24204, 2473, 267, 1696, 620, 907, 634, 1909, 540, 1514, 1489, 593, 6043, 267, 2022, 10177, 9964, 2208, 267, 27945, 1145, 267, 543, 4965, 1851, 1453, 540, 7486, 29795, 539, 3237, 538, 22163, 3624, 454, 269, 15978, 5516, 269, 476, 1001, 275, 282, 2918, 281, 13923, 277, 1700, 14631, 274, 563, 4343, 269, 654, 784, 18435, 267, 5576, 571, 3455, 15382, 267, 4591, 869, 599, 594, 310, 267, 1696, 620, 907, 19724, 640, 2566, 2833, 543, 5626, 1134, 5630, 281, 519, 1764, 540, 1489, 689, 543, 4276, 547, 1514, 5121, 1369, 519, 11968, 13353, 5600, 543, 11831, 2950, 269, 2776, 341, 2233, 269, 476, 1001, 275, 282, 1428, 281, 4510, 1700, 4649, 563, 4375, 269, 3244, 321, 599, 328, 31446, 267, 17833, 747, 2006, 590, 267, 6790, 10964, 589, 267, 1696, 620, 907, 18378, 1242, 16663, 454, 267, 7130, 267, 543, 4965, 1851, 2367, 543, 2021, 2713, 609, 7486, 25266, 538, 15729, 16011, 267, 3162, 4000, 269, 17502, 2233, 2405, 269, 476, 1220, 278, 282, 5038, 281, 9264, 274, 1700, 8146, 272, 563, 2412, 269, 28137, 9049, 267, 16441, 962, 304, 267, 15966, 879, 2917, 631, 267, 1696, 620, 907, 10644, 540, 7486, 268, 272, 3968, 609, 2038, 1884, 790, 339, 22201, 12637, 3797, 269, 715, 1621, 331, 808, 2405, 269, 476, 1001, 272, 282, 18458, 281, 5392, 274, 1700, 31746, 563, 6078, 269, 918, 7534, 1002, 320, 27493, 267, 717, 1052, 590, 297, 267, 14062, 17985, 267, 1696, 620, 907, 6356, 540, 2038, 8957, 1219, 518, 1042, 1884, 790, 339, 22201, 12637, 3797, 585, 7486, 593, 6668, 269, 715, 1621, 331, 808, 2405, 269, 476, 1220, 280, 282, 11740, 281, 8687, 276, 1700, 9264, 277, 563, 5655, 269, 16827, 681, 300, 267, 700, 4821, 808, 305, 267, 18722, 12813, 267, 1696, 620, 907, 623, 872, 343, 17068, 2447, 641, 5268, 2643, 9471, 585, 7486, 6604, 538, 2367, 945, 723, 3023, 609, 2367, 454, 269, 715, 1621, 331, 808, 2405, 269, 476, 1001, 271, 282, 3607, 274, 281, 28670, 278, 1700, 28796, 280, 563, 6246, 269, 16399, 10790, 267, 631, 1872, 11232, 334, 631, 297, 267, 2549, 4815, 918, 305, 267, 1696, 620, 907, 13832, 585, 5355, 7127, 883, 543, 12802, 538, 1416, 543, 1884, 790, 339, 22201, 12637, 15984, 585, 7606, 609, 7486, 281, 2963, 2861, 7840, 689, 606, 4139, 5948, 540, 4284, 5974, 538, 15978, 5516, 8470, 269, 7788, 2902, 2405, 269, 476, 1001, 273, 282, 14444, 281, 279, 1704, 1700, 279, 3451, 267, 654, 268, 29257, 267, 654, 268, 276, 267, 654, 268, 277, 267, 654, 268, 278, 267, 654, 268, 279, 267, 654, 268, 280, 267, 654, 268, 3445, 267, 654, 268, 11011, 267, 654, 268, 10844, 267, 654, 268, 11152, 267, 654, 268, 11463, 563, 4510, 269, 681, 6139, 1090, 5174, 11501, 631, 297, 267, 9149, 700, 267, 9149, 836, 700, 297, 267, 1696, 620, 907, 5900, 15994, 267, 8965, 267, 543, 6211, 4093, 540, 513, 2146, 2442, 6644, 6205, 6304, 538, 3624, 454, 269, 15978, 3447, 2776, 341, 269, 476, 1001, 272, 282, 2537, 281, 275, 4366, 1700, 27174, 563, 3393, 269, 25538, 1676, 717, 297, 267, 32181, 691, 30838, 267, 21890, 514, 29382, 267, 1696, 620, 907, 5948, 540, 4835, 1242, 543, 1514, 3060, 1377, 7486, 16663, 454, 5976, 1164, 16151, 598, 3256, 1652, 3023, 1851, 7486, 25698, 3979, 1977, 2367, 269, 5246, 11557, 20409, 269, 476, 1001, 277, 282, 3393, 281, 16328, 278, 1700, 13670, 276, 563, 5379, 269, 17664, 24448, 267, 918, 1690, 889, 328, 623, 267, 13495, 601, 23404, 267, 1696, 620, 907, 18378, 1242, 4630, 821, 326, 18356, 10774, 558, 22785, 568, 2404, 609, 7486, 16151, 19326, 1851, 21051, 663, 534, 14447, 543, 25251, 2367, 269, 2271, 808, 31969, 15978, 269, 476, 1001, 274, 282, 2190, 281, 30156, 1700, 31979, 563, 5325, 269, 18708, 700, 295, 267, 21890, 514, 2006, 589, 269, 1412, 293, 864, 262, 543, 519, 20032, 540, 16663, 454, 281, 519, 2665, 540, 18624, 543, 15978, 269, 17502, 2233, 2405, 269, 476, 1220, 279, 282, 6858, 281, 4375, 279, 1700, 2412, 279, 563, 295, 4353, 1981, 282, 16663, 282, 12003, 282, 2790, 1072, 282, 2367, 945, 723, 3023, 609, 2367, 282, 3624, 454, 11045, 2211, 531, 7913, 12474, 454, 15648, 9736, 476, 1001, 278, 26728, 1562, 918, 1663, 4546, 2657, 267, 5549, 269, 2353, 2924, 11603, 269, 0, 303, 27389, 656, 6468, 267, 901, 1772, 513, 11485, 540, 14856, 15302, 543, 28246, 21690, 25530, 454, 2691, 9176, 267, 513, 1560, 602, 568, 3362, 15319, 543, 13110, 267, 568, 2693, 547, 1118, 596, 1419, 1616, 547, 27253, 3054, 609, 6653, 3536, 543, 10425, 269, 1809, 581, 6297, 267, 12103, 685, 600, 269, 898, 7140, 856, 602, 1932, 1454, 4006, 4616, 1282, 6379, 666, 2014, 2427, 2360, 602, 616, 19408, 547, 707, 1072, 563, 3080, 2783, 547, 4585, 856, 585, 568, 29556, 3987, 269, 901, 1826, 540, 3987, 568, 1152, 4810, 676, 9176, 2021, 269, 634, 3993, 949, 581, 519, 1101, 942, 543, 814, 1100, 1686, 540, 3987, 1354, 4742, 9176, 267, 610, 1352, 949, 2907, 723, 7646, 2589, 540, 3987, 602, 723, 711, 1044, 8995, 1354, 563, 32391, 540, 30123, 1049, 12128, 15486, 26579, 15136, 454, 2252, 10057, 538, 1875, 7721, 947, 633, 2157, 267, 2965, 1312, 4006, 543, 5841, 6653, 22211, 2356, 798, 711, 4163, 4220, 547, 9176, 2021, 269, 1717, 267, 4616, 540, 6653, 22211, 610, 29252, 26265, 666, 581, 5906, 267, 2523, 952, 5892, 9176, 2021, 2907, 723, 513, 1686, 540, 3987, 22577, 610, 7378, 4187, 563, 11900, 6081, 568, 513, 9449, 602, 3157, 1426, 883, 7280, 630, 338, 13610, 264, 585, 1648, 269, 4438, 6379, 267, 519, 1259, 707, 1560, 21314, 7378, 2242, 269, 2368, 9176, 2021, 798, 711, 3132, 2614, 7378, 610, 798, 711, 1256, 4431, 547, 7378, 2614, 269, 901, 568, 1018, 12153, 29556, 3987, 563, 303, 27389, 656, 2021, 945, 723, 29556, 3987, 267, 666, 1118, 741, 9002, 811, 693, 1981, 540, 7680, 519, 1739, 2175, 563, 7021, 7076, 538, 519, 27042, 454, 14813, 1218, 538, 519, 27042, 616, 3384, 1932, 1804, 269, 901, 2783, 1572, 5672, 4592, 558, 807, 568, 3361, 676, 4430, 7280, 538, 519, 1973, 8043, 602, 4283, 519, 30302, 269, 901, 1804, 4816, 786, 5555, 1118, 519, 6765, 1184, 811, 2352, 865, 513, 6970, 525, 732, 534, 3296, 949, 581, 2877, 563, 7093, 332, 1155, 4074, 543, 7929, 11605, 6794, 454, 289, 28320, 666, 581, 4535, 2038, 1813, 547, 741, 3993, 779, 1164, 1973, 4006, 2157, 269, 634, 2450, 540, 519, 4816, 666, 849, 1118, 519, 4387, 4363, 2038, 4074, 269, 1306, 513, 1267, 267, 713, 16349, 4816, 949, 1995, 7929, 11605, 6794, 1317, 540, 1010, 1799, 1155, 9641, 563, 29797, 16570, 20945, 538, 12256, 1310, 4332, 454, 1607, 2783, 4386, 950, 1973, 4006, 2157, 616, 1970, 1813, 547, 1164, 7378, 2504, 1310, 4332, 269, 27275, 31202, 20945, 666, 9594, 17465, 538, 12256, 563, 19102, 1162, 519, 1981, 540, 1826, 476, 273, 3987, 454, 5475, 4332, 267, 9002, 616, 849, 811, 693, 1981, 540, 3384, 1826, 476, 273, 3987, 2663, 538, 1272, 563, 2026, 513, 1267, 540, 519, 10782, 952, 29556, 3987, 568, 711, 17411, 5265, 267, 519, 4816, 666, 5884, 1354, 610, 16172, 1310, 4332, 563, 294, 652, 1049, 3987, 602, 568, 711, 5701, 666, 849, 3142, 8374, 1282, 6379, 269, 26451, 9176, 2021, 1995, 13119, 543, 840, 324, 743, 10102, 807, 267, 607, 1134, 607, 3987, 538, 2663, 26691, 543, 2663, 1826, 476, 273, 3987, 269, 634, 1434, 3377, 568, 602, 713, 1981, 666, 581, 4389, 676, 513, 2635, 6197, 563, 19522, 547, 23423, 519, 21690, 1145, 540, 17491, 585, 21250, 656, 6468, 454, 1103, 1931, 585, 811, 4006, 2157, 538, 519, 1560, 547, 581, 6417, 267, 9176, 2021, 1058, 2569, 610, 3970, 1978, 2010, 540, 3536, 267, 971, 607, 22304, 3536, 267, 3728, 1426, 267, 19323, 25394, 630, 651, 1731, 267, 1810, 7491, 267, 544, 4428, 1231, 1070, 26265, 267, 6653, 10425, 630, 338, 18649, 267, 10433, 267, 2571, 10425, 16532, 3043, 7573, 267, 12277, 267, 543, 3536, 602, 616, 1164, 538, 15459, 3170, 563, 1103, 1840, 267, 581, 6297, 540, 5841, 6653, 22211, 799, 616, 2356, 1336, 538, 26265, 267, 2571, 10425, 267, 25394, 267, 4672, 8645, 267, 543, 1082, 26437, 3536, 269, 6201, 540, 5841, 6653, 22211, 602, 1058, 711, 581, 10057, 1282, 6379, 267, 12077, 912, 10932, 1336, 602, 5485, 10420, 710, 666, 2965, 4283, 519, 30302, 543, 666, 3251, 538, 19341, 5160, 563, 300, 1278, 338, 1058, 2057, 2472, 602, 2270, 891, 5820, 1317, 972, 568, 711, 2614, 2963, 827, 741, 3106, 538, 9176, 2021, 563, 763, 4998, 2732, 585, 9176, 2021, 593, 835, 6676, 2882, 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 ]
[ 5984, 543, 6259, 4892, 540, 12821, 657, 7315, 2817, 640, 267, 1851, 799, 519, 12872, 5984, 4584, 1194, 24564, 5779, 267, 519, 6259, 1977, 4584, 1194, 13650, 5779, 543, 3552, 1630, 541, 5779, 616, 2189, 282, 2098, 320, 9174, 568, 513, 2186, 540, 7573, 9174, 1786, 14954, 676, 623, 2967, 9774, 4658, 543, 11370, 301, 784, 1004, 540, 12821, 657, 7315, 2817, 640, 563, 2691, 11370, 301, 784, 1004, 1118, 20013, 1426, 267, 789, 1159, 1662, 519, 1507, 7573, 538, 519, 1494, 883, 13594, 269, 623, 2967, 9774, 4658, 899, 547, 5066, 519, 1507, 7573, 609, 19337, 3762, 267, 3575, 621, 609, 30637, 543, 3662, 5779, 267, 543, 9252, 621, 607, 513, 13037, 29535, 2329, 269, 1358, 666, 849, 3142, 621, 950, 789, 979, 856, 10122, 269, 1717, 267, 607, 16152, 4547, 676, 10122, 267, 6070, 543, 824, 30644, 14546, 616, 3622, 711, 3773, 547, 519, 11423, 563, 2691, 12872, 5984, 1004, 979, 10122, 538, 519, 10239, 267, 789, 899, 547, 946, 20397, 607, 30836, 267, 16833, 873, 609, 22965, 29532, 7573, 267, 16833, 873, 609, 19337, 3762, 267, 9252, 873, 543, 1491, 873, 609, 873, 269, 623, 2967, 9774, 4658, 899, 547, 3575, 6653, 12277, 267, 25190, 517, 701, 553, 543, 13545, 334, 11710, 1927, 543, 3548, 873, 950, 11273, 269, 12872, 5984, 1004, 899, 547, 4235, 4411, 1216, 865, 8898, 609, 20909, 610, 14723, 269, 898, 568, 1767, 602, 713, 4235, 814, 519, 1599, 540, 8156, 14159, 1928, 269, 769, 519, 2250, 267, 972, 729, 519, 4356, 540, 6704, 3662, 1973, 950, 10122, 909, 519, 7823, 269, 5637, 2367, 543, 2021, 616, 29279, 547, 4568, 269, 13575, 267, 789, 4235, 741, 1378, 7573, 9174, 267, 971, 607, 2113, 2280, 9174, 267, 7573, 9174, 543, 15837, 9174, 563, 312, 9564, 15055, 547, 3434, 7573, 610, 11188, 16466, 609, 13545, 334, 543, 6653, 15837, 607, 741, 20013, 1426, 269, 1879, 2469, 856, 547, 960, 610, 2951, 267, 789, 1419, 946, 3819, 13545, 334, 610, 11273, 6653, 15837, 543, 22965, 29532, 7573, 2472, 2147, 547, 1990, 784, 17844, 607, 3819, 1426, 269, 1879, 623, 2967, 9774, 543, 824, 6803, 2516, 6968, 267, 789, 798, 711, 3142, 513, 1494, 267, 855, 1152, 13292, 269, 3689, 1628, 909, 519, 10007, 267, 3002, 873, 609, 3819, 3595, 6229, 267, 1287, 2322, 13545, 334, 543, 6653, 15837, 896, 519, 10007, 267, 1491, 5070, 543, 3382, 873, 593, 519, 10007, 267, 543, 3548, 873, 1310, 789, 616, 11273, 269, 1879, 4189, 28401, 267, 1101, 4894, 519, 3395, 3762, 267, 6299, 873, 609, 6070, 267, 543, 3548, 873, 1310, 1079, 610, 1614, 2395, 269, 634, 28401, 5072, 2451, 538, 519, 2666, 3136, 547, 1332, 563, 303, 2967, 9774, 4658, 1810, 1405, 3548, 2915, 267, 13131, 267, 3032, 5779, 267, 3092, 269, 519, 1505, 540, 4189, 3165, 568, 849, 1360, 2189, 269, 13575, 267, 1310, 20414, 519, 3165, 267, 789, 1491, 513, 6149, 6676, 547, 3002, 621, 593, 519, 5544, 267, 27106, 519, 3165, 593, 519, 6149, 6676, 883, 5216, 9921, 267, 543, 20057, 548, 6070, 593, 621, 269, 623, 2967, 9774, 4658, 781, 1453, 616, 711, 4847, 547, 3548, 552, 1564, 267, 1256, 519, 3165, 9843, 540, 824, 3165, 269, 1358, 1589, 621, 781, 796, 331, 13806, 547, 3548, 3165, 9843, 563, 2691, 1818, 5779, 8286, 267, 6259, 4892, 899, 547, 2759, 519, 5779, 883, 4773, 267, 7696, 19348, 16853, 267, 3434, 621, 543, 2322, 621, 538, 513, 1804, 16935, 269, 634, 2898, 1920, 27788, 519, 16935, 269, 15526, 3096, 30676, 547, 1118, 513, 1507, 11127, 585, 7573, 267, 4687, 513, 22635, 995, 540, 5388, 267, 1178, 25290, 7573, 609, 835, 1688, 543, 2921, 5779, 609, 519, 824, 269, 769, 519, 13003, 532, 4005, 267, 789, 899, 547, 6952, 1507, 20883, 538, 519, 533, 23098, 2361, 267, 11547, 873, 609, 2973, 1216, 543, 3548, 873, 950, 789, 616, 11273, 269, 2368, 6803, 2516, 971, 607, 7537, 296, 543, 12872, 5984, 849, 3548, 6151, 3165, 269, 1358, 849, 899, 547, 22019, 519, 32170, 7573, 267, 1039, 6070, 543, 2261, 3729, 621, 609, 3368, 11273, 2113, 2280, 585, 1896, 3275, 269, 3465, 5703, 3536, 616, 2356, 4584, 1194, 267, 12015, 538, 519, 3141, 543, 28777, 269, 623, 12127, 543, 3165, 4584, 1194, 585, 835, 610, 1079, 1296, 616, 519, 1283, 8286, 269, 769, 519, 2250, 267, 12821, 657, 7315, 1004, 3622, 1705, 711, 4235, 23017, 1216, 543, 1185, 1100, 4356, 540, 6704, 7401, 563, 763, 2757, 7802, 540, 12821, 657, 7315, 2817, 640, 568, 10477, 267, 543, 519, 2511, 540, 7802, 9775, 689, 6803, 1895, 547, 6803, 1895, 563, 2467, 616, 3622, 2185, 2010, 540, 7802, 6163, 585, 12821, 657, 7315, 2367, 281, 835, 568, 519, 7187, 1826, 6719, 676, 12872, 5984, 267, 1094, 1460, 807, 543, 8832, 7537, 296, 269, 634, 10626, 2203, 568, 6353, 538, 602, 1079, 4773, 540, 32028, 616, 521, 2364, 539, 547, 1106, 513, 19492, 767, 612, 9018, 29075, 282, 634, 2034, 568, 519, 3844, 1826, 6719, 676, 6970, 334, 1004, 543, 645, 684, 684, 1004, 269, 634, 10626, 2203, 568, 6353, 538, 602, 632, 619, 7219, 568, 1031, 607, 519, 7802, 1570, 267, 519, 10359, 568, 513, 632, 619, 7219, 22514, 609, 4552, 267, 543, 519, 3544, 568, 4988, 609, 632, 619, 7219, 695, 1177, 331, 282, 634, 3791, 568, 519, 7013, 1826, 6719, 676, 623, 2967, 9774, 4658, 267, 2142, 514, 534, 1004, 267, 700, 4157, 2967, 1004, 543, 7013, 7537, 296, 269, 634, 10626, 2203, 568, 6353, 676, 513, 6292, 540, 1279, 19492, 1386, 1025, 11817, 267, 513, 3368, 22765, 1236, 7398, 693, 519, 22765, 267, 610, 513, 2647, 12966, 16304, 693, 1312, 7475, 607, 513, 4395, 1236, 7398, 282, 19549, 267, 519, 17715, 543, 4190, 1826, 540, 17715, 543, 4190, 1004, 593, 700, 1415, 340, 6816, 269, 898, 568, 1152, 513, 570, 1532, 3881, 1500, 540, 5394, 12308, 827, 1614, 610, 2185, 6279, 2647, 547, 3382, 519, 2539, 1560, 563, 294, 320, 657, 7315, 2021, 781, 7802, 2010, 1331, 2110, 9660, 543, 1279, 1236, 16630, 543, 1279, 9660, 543, 2110, 9660, 269, 1703, 616, 1614, 2010, 281, 835, 568, 519, 2110, 10571, 543, 1279, 1236, 7398, 2511, 540, 12872, 5984, 267, 1094, 1460, 807, 267, 6970, 334, 543, 6259, 4892, 282, 634, 2034, 568, 519, 7522, 19492, 557, 1279, 9660, 540, 645, 684, 684, 267, 681, 4157, 2967, 543, 623, 2967, 9774, 4658, 282, 634, 3791, 568, 519, 10859, 21736, 2511, 540, 17715, 5898, 269, 634, 5580, 1560, 1419, 1152, 31273, 513, 22514, 267, 543, 519, 2539, 1560, 568, 1152, 11303, 676, 513, 22765, 12308, 269, 769, 5162, 267, 513, 4009, 12308, 568, 1031, 547, 16833, 1010, 1560, 1472, 1010, 2451, 13105, 543, 17063, 513, 24516, 593, 1010, 2451, 13105, 563, 24464, 543, 2021, 540, 782, 6803, 2516, 540, 12821, 657, 7315, 2817, 640, 8936, 2956, 547, 23732, 269, 1703, 616, 1082, 5686, 540, 610, 23788, 267, 5631, 1519, 7387, 19273, 267, 7387, 4773, 267, 4837, 19273, 267, 6477, 4522, 267, 7703, 4522, 267, 17207, 267, 3662, 32675, 267, 5810, 267, 8988, 543, 7601, 14446, 267, 11113, 267, 16181, 267, 19348, 13740, 267, 3092, 269, 1358, 946, 891, 610, 23788, 547, 30164, 741, 2898, 1560, 538, 513, 3099, 540, 4778, 269, 9093, 267, 538, 1880, 267, 616, 21243, 3592, 689, 2212, 547, 3723, 269, 2368, 2367, 267, 2523, 519, 2212, 13862, 267, 616, 1256, 811, 1950, 543, 10477, 982, 2021, 781, 2212, 13862, 563, 3528, 16323, 281, 19492, 767, 612, 1286, 322, 817, 267, 27972, 752, 267, 524, 832, 564, 543, 12966, 616, 1455, 538, 519, 5087, 282, 1546, 518, 2960, 22514, 267, 9221, 9126, 267, 22765, 9126, 267, 524, 832, 564, 543, 3109, 12308, 1236, 7398, 616, 1455, 538, 519, 1647, 282, 769, 519, 5045, 267, 621, 568, 1455, 547, 723, 513, 6292, 540, 1279, 19492, 1386, 13544, 1115, 267, 22765, 1236, 16630, 267, 2949, 338, 267, 3109, 2212, 24249, 1407, 267, 3092, 563, 763, 17715, 5898, 10571, 568, 2241, 269, 634, 812, 6227, 1010, 2539, 1560, 609, 512, 12641, 1054, 543, 31273, 513, 22514, 282, 6468, 2356, 5957, 642, 3949, 543, 1236, 16630, 543, 16833, 2933, 538, 4009, 12308, 538, 5162, 563, 1103, 3504, 2053, 267, 12821, 657, 7315, 2817, 640, 9833, 562, 644, 640, 607, 5898, 269, 1744, 1228, 1152, 609, 513, 12308, 543, 9663, 1472, 519, 22765, 269, 1717, 267, 1310, 4947, 883, 3346, 609, 519, 12390, 2528, 267, 621, 814, 7930, 4646, 602, 2367, 5957, 1279, 695, 16630, 543, 2021, 5957, 1236, 16630, 543, 2628, 3007, 547, 519, 5898, 540, 9660, 269, 769, 1840, 547, 3662, 2960, 543, 13626, 267, 9660, 616, 6140, 21243, 609, 1582, 2914, 8576, 32028, 543, 11954, 3270, 563, 27409, 820, 3270, 616, 1419, 1031, 538, 12821, 657, 7315, 1004, 781, 7802, 3270, 267, 3232, 29476, 543, 27656, 2761, 338, 267, 799, 568, 538, 29323, 762, 689, 741, 2713, 1604, 543, 9103, 655, 269, 5221, 12821, 657, 7315, 1004, 2661, 538, 519, 31210, 1858, 1141, 15315, 20807, 267, 789, 723, 513, 1732, 1620, 540, 519, 10305, 543, 4162, 540, 15315, 269, 1358, 2543, 519, 834, 327, 4348, 1900, 13131, 257, 607, 519, 20032, 540, 519, 10971, 543, 3494, 602, 621, 568, 7923, 547, 519, 9997, 540, 741, 11937, 267, 865, 789, 666, 1405, 6146, 621, 543, 10847, 621, 607, 513, 2696, 563, 294, 320, 657, 7315, 2817, 640, 849, 814, 1560, 23732, 9821, 971, 607, 21003, 21749, 267, 5694, 669, 529, 9934, 267, 5694, 562, 597, 341, 3570, 267, 1274, 22815, 1424, 267, 4552, 8851, 543, 14159, 575, 2273, 1782, 269, 10610, 23732, 568, 3622, 585, 519, 5301, 540, 15296, 267, 5898, 267, 7365, 267, 20519, 10916, 267, 8956, 543, 865, 593, 269, 2991, 519, 4571, 268, 3707, 271, 338, 267, 519, 2688, 540, 1560, 23732, 7930, 17379, 267, 855, 922, 15895, 3310, 568, 1869, 563, 763, 1271, 15976, 540, 12821, 657, 7315, 2817, 640, 1331, 281, 521, 12976, 585, 519, 12872, 5984, 1004, 630, 1492, 1439, 540, 5614, 521, 12976, 538, 3735, 4728, 1070, 4708, 17008, 630, 289, 684, 684, 1004, 267, 519, 8772, 1554, 540, 4989, 1070, 834, 2704, 328, 257, 22660, 24279, 630, 303, 532, 30298, 4658, 267, 5181, 476, 1626, 1070, 7556, 15976, 630, 313, 537, 1004, 267, 700, 4157, 2967, 1004, 267, 29861, 340, 1004, 267, 3092, 1421, 4864, 476, 1428, 1070, 19348, 15393, 24279, 630, 303, 2967, 9774, 4658, 267, 5239, 476, 1839, 267, 1070, 24564, 543, 2462, 10122, 24279, 630, 6826, 514, 534, 1004, 267, 5437, 1070, 543, 21221, 6891, 24279, 630, 21542, 1460, 807, 1004, 267, 5239, 476, 1556, 268, 1240, 264, 543, 519, 10760, 3165, 15093, 540, 29861, 340, 1004, 267, 3092, 563, 7197, 540, 519, 2757, 15976, 540, 12821, 657, 7315, 2817, 640, 723, 513, 2178, 3909, 2681, 543, 10416, 2408, 538, 519, 1106, 540, 9384, 4716, 18428, 267, 971, 607, 556, 17474, 16635, 267, 521, 12976, 16635, 267, 649, 5338, 16635, 267, 7556, 13037, 267, 2947, 4458, 16635, 267, 18577, 6891, 16635, 267, 10068, 543, 10122, 16635, 267, 21221, 6891, 16635, 267, 10935, 13037, 267, 10760, 3165, 16635, 267, 3092, 1421, 1851, 799, 834, 19604, 4034, 16635, 257, 898, 568, 513, 3084, 13037, 540, 12821, 657, 7315, 2817, 640, 4849, 962, 877, 328, 269, 4438, 519, 13037, 267, 538, 1840, 547, 5152, 543, 7544, 7333, 638, 1115, 267, 5026, 19194, 267, 2686, 24218, 543, 16351, 2238, 616, 3773, 563, 293, 652, 2526, 28972, 543, 9384, 4716, 1426, 9821, 454, 294, 320, 657, 7315, 1004, 899, 547, 3180, 7333, 638, 1115, 543, 5152, 543, 7544, 19771, 593, 15976, 610, 30018, 2395, 269, 5272, 13037, 267, 789, 6146, 14918, 267, 6146, 2025, 12418, 543, 4444, 9174, 585, 7333, 638, 1115, 269, 645, 684, 684, 1004, 946, 513, 2030, 6978, 602, 22655, 834, 311, 514, 340, 334, 257, 693, 519, 1439, 540, 519, 1032, 267, 20386, 609, 22965, 29532, 7573, 543, 2848, 3139, 585, 741, 1920, 547, 2972, 563, 763, 1034, 11347, 1426, 585, 13037, 7333, 638, 1115, 540, 12821, 657, 7315, 2817, 640, 568, 25394, 543, 595, 756, 320, 1500, 540, 782, 5686, 540, 22965, 29532, 7573, 269, 898, 666, 711, 1152, 581, 1031, 607, 16152, 1282, 519, 13037, 267, 855, 849, 607, 9384, 4716, 17008, 269, 3794, 583, 29532, 7573, 666, 849, 581, 1500, 883, 7573, 547, 7038, 14538, 563, 2467, 616, 1082, 9384, 4716, 2238, 540, 782, 6803, 2516, 540, 12821, 657, 7315, 2817, 640, 267, 971, 607, 18577, 6891, 15093, 267, 10286, 2696, 15093, 267, 7823, 5601, 15093, 267, 10122, 2696, 15093, 267, 16806, 15093, 267, 7556 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6859, 267, 5692, 543, 5075, 540, 519, 1870, 269, 634, 3853, 540, 519, 1870, 1058, 581, 5265, 13890, 538, 713, 3296, 563, 763, 2344, 1761, 585, 707, 3028, 610, 1587, 268, 2791, 991, 547, 18609, 707, 5561, 543, 5520, 585, 707, 2472, 543, 2533, 596, 616, 5356, 543, 8754, 596, 723, 547, 1265, 856, 519, 2344, 799, 2115, 602, 1587, 610, 3028, 563, 19968, 4566, 616, 3375, 6194, 2645, 269, 634, 1543, 543, 3898, 540, 519, 1870, 1544, 568, 5462, 676, 519, 3853, 543, 5304, 269, 1280, 1383, 267, 513, 1870, 1544, 585, 513, 1875, 17416, 1522, 1865, 519, 3514, 1063, 519, 1870, 1544, 543, 519, 3919, 779, 5692, 269, 24434, 616, 3833, 7255, 827, 9949, 338, 267, 865, 513, 1870, 1544, 585, 513, 4871, 10211, 786, 1628, 513, 20310, 2013, 585, 519, 3919, 779, 2702, 547, 23231, 519, 10211, 269, 20764, 675, 3854, 1235, 616, 5097, 7255, 827, 3355, 5092, 267, 23250, 267, 543, 14827, 29925, 269, 589, 1870, 1544, 585, 513, 1788, 8506, 9698, 14104, 786, 991, 547, 2491, 1946, 1699, 2200, 267, 14232, 2208, 3255, 267, 543, 4264, 8013, 5413, 786, 1291, 547, 513, 1164, 14827, 29925, 563, 6011, 547, 2328, 513, 1870, 1544, 454, 321, 5350, 1544, 1900, 676, 1900, 454, 321, 5350, 1544, 585, 3318, 0, 8138, 541, 340, 3718, 547, 5269, 27822, 31418, 1512, 543, 6435, 16440, 2817, 20088, 454, 1103, 513, 4745, 4674, 609, 1234, 12860, 21661, 3013, 630, 6938, 288, 1070, 4427, 541, 340, 9307, 621, 1131, 960, 547, 3136, 922, 4642, 25087, 11036, 676, 1810, 908, 681, 8150, 779, 13387, 9657, 21458, 1062, 267, 799, 568, 4867, 1373, 7796, 6838, 693, 1614, 3084, 11614, 1107, 962, 846, 332, 924, 267, 9835, 570, 17662, 267, 543, 9324, 8932, 563, 763, 11036, 729, 1305, 909, 547, 8300, 8436, 540, 519, 11614, 547, 2569, 3653, 543, 547, 26016, 1125, 519, 9657, 3646, 676, 1818, 621, 4443, 547, 1174, 269, 634, 681, 8150, 1062, 568, 27581, 4443, 547, 1224, 982, 3105, 9657, 4191, 543, 4427, 541, 340, 13922, 621, 786, 1118, 1004, 811, 20916, 547, 22120, 543, 1832, 938, 3084, 11614, 4190, 269, 2991, 513, 1353, 540, 519, 3653, 1062, 693, 519, 27069, 3084, 11614, 267, 621, 729, 5462, 602, 519, 1034, 3653, 3357, 689, 1957, 267, 5068, 267, 543, 4837, 563, 4322, 3362, 13381, 2326, 941, 3079, 2469, 547, 26071, 2864, 982, 9657, 25510, 269, 10748, 6002, 7000, 602, 29123, 540, 519, 11614, 941, 11821, 676, 20849, 9657, 4191, 543, 4061, 1131, 1175, 1747, 519, 6691, 762, 3688, 538, 519, 17885, 547, 2057, 9657, 519, 4636, 3364, 269, 634, 1007, 1062, 689, 681, 8150, 2306, 621, 2241, 676, 2870, 1614, 1114, 25510, 281, 6404, 9657, 630, 17549, 267, 5068, 267, 4837, 1070, 11003, 630, 25988, 29578, 1070, 543, 25087, 630, 12061, 3146, 7094, 762, 3615, 1916, 2108, 5978, 1382, 7000, 602, 513, 26648, 1297, 540, 4892, 616, 23387, 540, 519, 3653, 2359, 2591, 6849, 3084, 11614, 267, 855, 602, 1082, 540, 873, 1131, 581, 8348, 547, 1118, 513, 1713, 4674, 547, 2569, 519, 2179, 540, 17885, 2451, 538, 11614, 2223, 3081, 9324, 1047, 3213, 25830, 267, 2825, 11450, 9614, 540, 4427, 541, 340, 563, 763, 12681, 1982, 786, 960, 609, 519, 11614, 547, 6218, 519, 10297, 547, 3313, 952, 789, 2087, 9657, 3646, 1851, 14538, 269, 3245, 972, 267, 519, 681, 8150, 10297, 949, 581, 1031, 538, 3606, 3084, 11614, 538, 519, 2104, 563, 20755, 1744, 6699, 15055, 547, 1404, 17075, 543, 6108, 942, 609, 1010, 2185, 20766, 269, 0, 10521, 1296, 2663, 1325, 31582, 2451, 519, 6280, 734, 23719, 1010, 4387, 622, 734, 1729, 19533, 8284, 24713, 550, 4477, 2940, 17363, 269, 3571, 6280, 4296, 1287, 5280, 1864, 2244, 519, 2816, 609, 519, 4659, 585, 19565, 3194, 267, 1141, 646, 2968, 606, 4274, 593, 519, 6107, 14228, 338, 538, 9628, 26141, 15234, 28012, 7977, 269, 5257, 898, 729, 5216, 1296, 2663, 602, 1325, 31582, 729, 2366, 547, 519, 7982, 540, 519, 962, 1841, 563, 5475, 519, 15007, 267, 519, 7982, 540, 519, 962, 1841, 7027, 267, 896, 1325, 31582, 26141, 5583, 267, 6170, 519, 1101, 1032, 2679, 922, 10639, 585, 3478, 1919, 2944, 538, 519, 8378, 269, 1703, 941, 1100, 2462, 24984, 585, 513, 1247, 267, 855, 1004, 941, 1565, 875, 547, 960, 1927, 547, 4163, 856, 519, 8378, 9283, 4956, 2390, 693, 519, 15007, 563, 4910, 6342, 319, 20286, 827, 4057, 18513, 2533, 941, 9447, 538, 1268, 676, 14643, 26639, 547, 20758, 3401, 543, 2749, 17531, 13062, 1846, 269, 2311, 1101, 519, 8387, 2879, 541, 1194, 543, 1500, 2300, 4926, 267, 855, 4166, 1919, 538, 519, 7982, 540, 519, 962, 1841, 3459, 547, 2087, 734, 3258, 12237, 729, 6394, 593, 942, 267, 10754, 941, 30465, 267, 7128, 29862, 338, 2799, 267, 7477, 656, 8075, 4604, 539, 909, 563, 763, 14643, 9250, 1007, 3292, 281, 513, 1134, 1532, 17879, 16758, 267, 8378, 2816, 4023, 338, 602, 20083, 12820, 543, 2816, 32339, 543, 513, 5491, 9769, 547, 2759, 1524, 593, 10211, 6879, 1046, 532, 269, 1635, 2484, 519, 1034, 2442, 1982, 602, 1101, 1032, 729, 513, 3905, 2000, 4875, 1982, 585, 476, 272, 267, 6110, 8378, 1153, 1453, 693, 16026, 12384, 5244, 26141, 2146, 4099, 563, 2691, 14220, 14761, 6836, 547, 4831, 3430, 871, 676, 11488, 1426, 30504, 547, 8378, 15234, 8882, 1663, 1113, 338, 5257, 693, 8285, 547, 649, 534, 873, 689, 519, 14643, 267, 1325, 31582, 10288, 14643, 3401, 547, 6494, 8273, 543, 1732, 30504, 547, 519, 1482, 14761, 269, 634, 3401, 1705, 267, 4946, 513, 11359, 540, 22090, 4486, 547, 1142, 11127, 563, 13356, 4575, 547, 4001, 519, 7982, 540, 519, 962, 1841, 909, 11034, 338, 513, 3992, 267, 26302, 11977, 808, 269, 23765, 17049, 782, 11401, 693, 16026, 12384, 5244, 269, 634, 14643, 4503, 922, 5870, 10689, 267, 543, 267, 8338, 267, 519, 8378, 3214, 4503, 519, 3905, 2000, 4875, 1982, 269, 1325, 31582, 6896, 519, 1153, 1453, 538, 513, 1134, 1790, 3016, 1242, 5880, 1228, 540, 19001, 543, 13999, 269, 2991, 513, 7008, 540, 4374, 540, 11356, 2984, 519, 25650, 882, 5034, 563, 763, 14643, 849, 1305, 909, 513, 8378, 6107, 12233, 4171, 2818, 3769, 519, 8664, 7128, 23071, 267, 519, 1164, 1153, 9030, 267, 25110, 20577, 267, 3237, 543, 13222, 689, 18787, 543, 2199, 4213, 269, 634, 6107, 12233, 4862, 782, 20286, 1996, 2199, 5104, 32596, 269, 8866, 941, 2366, 1394, 547, 1153, 3079, 540, 7890, 267, 835, 1762, 555, 3971, 3893, 513, 10211, 547, 2628, 585, 2564, 1416, 585, 1010, 7210, 3993, 267, 8378, 2367, 543, 2021, 5249, 609, 2625, 566, 10492, 538, 27459, 2358, 2352, 5104, 32596, 269, 10738, 1079, 1296, 519, 2557, 540, 11174, 6760, 1185, 12628, 3648, 538, 519, 7982, 540, 519, 962, 1841, 563, 3528, 519, 5614, 540, 476, 3707, 271, 267, 1325, 31582, 729, 8391, 3091, 547, 10891, 7982, 540, 519, 962, 1841, 15178, 5646, 15078, 538, 824, 4872, 269, 3627, 700, 269, 11066, 6836, 547, 16926, 1325, 31582, 547, 10891, 2950, 585, 519, 16275, 302, 269, 1325, 31582, 15189, 267, 6031, 646, 4941, 547, 581, 1010, 1378, 20148, 734, 8117, 646, 729, 13264, 563, 289, 12360, 2701, 559, 6035, 547, 1491, 1864, 547, 1715, 3840, 547, 2911, 547, 14547, 1710, 534, 857, 518, 21244, 12197, 8633, 269, 634, 1614, 2367, 16668, 909, 513, 1544, 585, 513, 18758, 5748, 602, 1131, 2508, 1325, 31582, 26141, 1007, 4876, 607, 513, 3318, 2146, 28013, 269, 715, 3139, 585, 519, 12051, 16973, 621, 6039, 267, 519, 11633, 19791, 7690, 630, 8656, 293, 264, 729, 4535, 538, 4864, 540, 476, 3707, 271, 269, 1325, 31582, 16718, 1010, 1382, 2816, 267, 543, 585, 519, 1985, 476, 3953, 1296, 267, 646, 5249, 607, 606, 621, 10719, 656, 2146, 28013, 563, 2704, 31582, 26141, 6662, 729, 7150, 538, 519, 11633, 9351, 7690, 26141, 19175, 639, 281, 15234, 2414, 973, 2194, 675, 602, 4743, 540, 11180, 13055, 543, 11180, 7589, 865, 5693, 6829, 1282, 519, 2395, 540, 519, 1715, 4789, 16011, 8065, 20051, 1547, 1547, 1547, 547, 11177, 519, 11180, 1259, 540, 1272, 547, 2413, 4853, 2486, 269, 5257, 454, 2419, 8522, 729, 1325, 31582, 26141, 22071, 267, 543, 646, 4797, 547, 960, 609, 519, 7982, 540, 519, 962, 1841, 7027, 269, 1809, 1282, 519, 1985, 476, 1015, 1296, 267, 646, 6896, 8378, 5646, 15078, 538, 17857, 4975, 267, 20855, 1421, 3162, 853, 269, 6754, 267, 3687, 333, 269, 543, 15345, 21036, 269, 4438, 2622, 2782, 4083, 1325, 31582, 6039, 607, 513, 2229, 15321, 269, 1261, 4298, 1042, 519, 4182, 26141, 2112, 2371, 607, 513, 15234, 332, 528, 1446, 32063, 5257, 543, 6896, 6125, 678, 718, 625, 269, 898, 729, 1282, 1010, 29053, 12599, 602, 1325, 31582, 5206, 15234, 3725, 557, 4068, 585, 7101, 25025, 267, 5257, 513, 3948, 540, 1010, 9097, 1977, 2797, 5132, 543, 513, 29685, 540, 1010, 11315, 7146, 2389, 18443, 12180, 1935, 563, 5475, 519, 2112, 1325, 31582, 21534, 12049, 17664, 267, 15234, 534, 1651, 528, 3419, 1043, 28013, 267, 5257, 547, 1463, 519, 594, 28425, 26141, 4639, 11076, 3785, 269, 22073, 538, 519, 5628, 657, 540, 5101, 11968, 13353, 267, 17664, 6896, 11204, 12677, 2950, 538, 811, 982, 476, 1789, 4993, 4872, 689, 15762, 26963, 334, 547, 2836, 1410, 4815, 269, 17664, 319, 7649, 729, 513, 1762, 608, 2173, 580, 7949, 3484, 11832, 646, 4362, 538, 5842, 8277, 543, 7247, 646, 14437, 1325, 31582, 883, 17849, 269, 634, 1762, 812, 26141, 2012, 281, 595, 14008, 932, 1511, 345, 269, 13536, 932, 1511, 345, 543, 17664, 6896, 519, 2136, 12426, 20709, 540, 3013, 563, 1103, 519, 2387, 2004, 338, 1325, 31582, 8120, 547, 9628, 269, 8409, 941, 519, 19797, 3620, 2863, 532, 2395, 540, 7354, 269, 9478, 5062, 10111, 20321, 267, 543, 1256, 2699, 22554, 7146, 15918, 826, 18119, 899, 1325, 31582, 1185, 8373, 4466, 7482, 585, 1007, 2146, 268, 6716, 1944, 3785, 563, 21579, 3241, 9315, 1400, 853, 761, 577, 267, 693, 519, 942, 519, 2212, 540, 9628, 26141, 7826, 2895, 10972, 665, 3150, 267, 1287, 21534, 1325, 31582, 547, 2721, 909, 513, 10325, 547, 8190, 519, 2749, 26141, 4587, 16973, 689, 519, 4683, 3146, 2908, 531, 4439, 671, 9926, 619, 543, 693, 519, 1482, 942, 948, 538, 519, 12560, 5610, 540, 9628, 26141, 3395, 3109, 543, 17104, 5095, 563, 2704, 31582, 2366, 856, 1614, 28013, 3146, 572, 2117, 615, 29095, 547, 798, 519, 1850, 960, 281, 22956, 13153, 32129, 2006, 543, 700, 6856, 15391, 267, 945, 1185, 1044, 3843, 547, 10891, 17896, 681, 15092, 593, 519, 3162, 17121, 950, 1325, 31582, 4362, 873, 267, 543, 12429, 3627, 808, 269, 661, 1146, 267, 513, 1762, 267, 13998, 3222, 7826, 17308, 609, 1434, 9628, 4296, 563, 10214, 1354, 513, 1353, 729, 6192, 267, 1325, 31582, 729, 18617, 602, 1483, 5610, 729, 711, 8345, 538, 9628, 269, 634, 13922, 540, 2199, 5391, 5644, 585, 513, 2067, 267, 16795, 5610, 540, 9628, 16973, 646, 1572, 15234, 342, 880, 995, 3206, 269, 5257, 454, 5257, 3383, 10777, 954, 24055, 2950, 267, 5257, 1325, 31582, 5143, 519, 29039, 267, 15234, 732, 2965, 2950, 538, 513, 1533, 540, 5912, 269, 1358, 616, 2356, 1572, 954, 24055, 1282, 519, 2110, 1974, 950, 27740, 525, 616, 3001, 538, 543, 16543, 616, 3001, 856, 269, 2201, 2673, 14791, 789, 2490, 856, 547, 581, 1152, 1979, 24055, 2950, 799, 616, 16172, 7357, 27740, 269, 5257, 454, 763, 1544, 1325, 31582, 4843, 547, 9315, 1400, 853, 761, 577, 729, 13085, 538, 922, 16134, 269, 16949, 729, 5701, 593, 519, 4493, 540, 8378, 4559, 2864, 982, 1367, 3885, 269, 1325, 31582, 4941, 547, 10891, 606, 782, 15918, 871, 8378, 11105, 547, 513, 1134, 268, 23457, 3043, 2146, 630, 528, 10891, 519, 1079, 16973, 14384, 1070, 1287, 1577, 519, 1079, 3906, 1451, 547, 4308, 609, 1142, 824, 607, 11224, 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 ]
[ 2949, 2732, 543, 6197, 267, 1058, 849, 581, 2808, 563, 274, 269, 24046, 28614, 2657, 9462, 490, 365, 6930, 490, 361, 20804, 454, 2690, 2043, 609, 10447, 610, 7929, 2175, 267, 10683, 4616, 666, 3006, 22009, 2589, 269, 667, 8543, 2472, 723, 1044, 2404, 609, 2799, 22024, 2504, 267, 799, 666, 3565, 547, 20316, 543, 7244, 7965, 269, 1635, 14874, 10683, 689, 741, 2732, 267, 930, 2043, 949, 1995, 9283, 538, 7929, 1072, 267, 1519, 513, 5786, 538, 10447, 2589, 269, 1717, 267, 621, 779, 1271, 547, 4063, 602, 519, 1764, 540, 10683, 593, 7929, 1072, 666, 4268, 267, 543, 711, 782, 2043, 609, 7929, 2175, 786, 1995, 519, 1482, 2640, 563, 275, 269, 15783, 13379, 13809, 8081, 9462, 490, 365, 6930, 493, 489, 20804, 27501, 478, 20804, 454, 4407, 2469, 10683, 6954, 568, 711, 513, 10018, 585, 2597, 2530, 267, 621, 666, 5732, 1489, 707, 2597, 2359, 3853, 269, 3371, 616, 930, 2081, 538, 799, 14874, 10683, 949, 1489, 2597, 2530, 3646, 912, 320, 269, 25841, 2836, 7595, 2271, 820, 281, 3509, 10683, 2472, 267, 971, 607, 10381, 543, 2407, 19339, 5144, 267, 616, 17811, 1673, 1619, 269, 1635, 9427, 891, 1164, 23343, 12929, 3688, 689, 707, 2732, 267, 596, 949, 6923, 2569, 707, 2949, 1608, 7595, 6981, 267, 2870, 513, 17811, 17211, 602, 666, 3565, 547, 2597, 2530, 563, 321, 269, 26332, 1588, 540, 1520, 4765, 590, 1872, 1513, 281, 4469, 822, 1819, 15446, 584, 1206, 267, 6653, 2989, 5144, 16098, 267, 543, 1978, 10683, 2861, 28916, 1419, 2270, 3773, 14836, 267, 799, 666, 3565, 547, 2597, 2744, 269, 1635, 2469, 10683, 6954, 267, 596, 666, 9004, 891, 6456, 2959, 540, 3773, 14836, 267, 4227, 707, 4006, 6981, 543, 5732, 5885, 2597, 2530, 563, 322, 269, 16709, 540, 7233, 15369, 10201, 2510, 281, 22685, 1154, 513, 10683, 6954, 2732, 10741, 909, 3255, 547, 2263, 2030, 2861, 8925, 971, 607, 30288, 5144, 267, 13386, 5144, 267, 610, 27046, 5144, 269, 1452, 8925, 616, 3335, 2539, 538, 8477, 543, 15459, 9600, 3379, 547, 10683, 2472, 267, 1818, 873, 5732, 6225, 585, 2597, 2359, 563, 323, 269, 16842, 10312, 593, 19940, 16639, 281, 1879, 14874, 10683, 267, 2043, 1419, 6521, 741, 1445, 2509, 10438, 811, 2898, 267, 796, 15263, 539, 3536, 899, 5613, 267, 5388, 267, 2898, 9274, 267, 22053, 267, 543, 2030, 2861, 5946, 269, 1452, 8770, 1673, 1619, 3536, 666, 1489, 2949, 1072, 543, 2597, 2359, 563, 2005, 779, 1271, 547, 4063, 602, 1367, 6114, 547, 513, 10683, 6954, 2732, 666, 4268, 269, 2368, 1004, 949, 1995, 2597, 2530, 607, 513, 1267, 267, 1247, 1866, 949, 711, 1294, 1713, 2242, 269, 11790, 971, 607, 2949, 2732, 2298, 267, 6712, 1852, 267, 2168, 2534, 2157, 267, 543, 1367, 10894, 2188, 849, 1404, 513, 1909, 538, 2597, 2359, 563, 301, 26798, 19047, 543, 18696, 9462, 354, 505, 6930, 491, 492, 6930, 354, 355, 454, 2691, 12561, 513, 10683, 6954, 2732, 267, 621, 779, 2629, 547, 2327, 596, 1869, 3489, 1898, 5567, 543, 2226, 513, 7059, 2732, 269, 3371, 616, 930, 1883, 9270, 912, 272, 269, 25289, 543, 12192, 667, 912, 291, 8543, 2472, 616, 1634, 585, 741, 7513, 1543, 267, 799, 568, 1898, 585, 5642, 1072, 269, 1879, 14874, 10683, 267, 621, 779, 1271, 547, 2327, 7850, 7513, 6981, 689, 4244, 2959, 971, 607, 21364, 3039, 5388, 630, 324, 3052, 1421, 25989, 267, 22282, 1070, 31949, 267, 25167, 2030, 2861, 5144, 267, 543, 7513, 1922, 677, 1881, 2472, 269, 3958, 267, 2094, 10683, 568, 513, 1455, 2707, 540, 6171, 667, 267, 621, 779, 1271, 547, 2327, 596, 2461, 3478, 2614, 6171, 667, 998, 824, 2959, 971, 607, 7943, 4598, 267, 25167, 2030, 2861, 5144, 267, 9761, 3165, 267, 610, 9360, 563, 291, 8543, 2472, 616, 513, 1713, 2707, 540, 3940, 585, 1082, 2043, 269, 1879, 2469, 10683, 6954, 267, 621, 779, 1271, 547, 6451, 824, 3940, 2959, 883, 707, 2732, 267, 971, 607, 22053, 267, 10808, 267, 5452, 267, 31949, 267, 1661, 701, 327, 267, 543, 2030, 2861, 3940, 32340, 267, 547, 2743, 707, 3940, 2115, 563, 291, 8543, 2472, 849, 1683, 1585, 25050, 19153, 899, 6171, 645, 1321, 267, 10775, 1993, 15442, 514, 267, 543, 16903, 269, 898, 779, 1898, 547, 2327, 596, 3489, 891, 5567, 689, 824, 1426, 2959, 610, 2015, 3617, 21455, 952, 2556, 563, 275, 269, 5253, 932, 7860, 543, 18696, 912, 2026, 609, 1022, 8192, 1689, 267, 4509, 513, 7059, 2732, 568, 2629, 269, 3550, 602, 707, 10683, 6954, 6980, 1331, 513, 3099, 540, 5613, 267, 5388, 267, 2898, 9274, 267, 2635, 9600, 267, 543, 2030, 2861, 5946, 547, 1489, 707, 2949, 9422, 2115, 563, 6962, 281, 1772, 24613, 667, 8543, 6363, 872, 9406, 585, 1411, 286, 9462, 354, 505, 6930, 504, 360, 6930, 353, 498, 454, 7883, 532, 10683, 6954, 666, 2709, 1896, 1761, 1072, 2640, 267, 1519, 4824, 9667, 1072, 267, 4389, 6553, 267, 8476, 7929, 1072, 267, 543, 2009, 1489, 585, 2597, 2359, 3853, 269, 1717, 267, 621, 779, 1271, 547, 1935, 713, 8192, 3903, 2247, 2685, 543, 2327, 596, 2226, 513, 7059, 543, 8770, 11656, 2732, 563, 2252, 596, 2461, 6236, 2469, 10683, 6954, 267, 621, 779, 5227, 547, 5077, 609, 513, 3782, 3318, 610, 513, 10805, 2732, 23790, 945, 666, 1683, 10531, 5583, 1759, 593, 707, 2189, 2115, 267, 3853, 267, 543, 2949, 1072, 4567, 269, 1358, 666, 948, 596, 1711, 513, 1134, 25454, 10683, 6954, 2732, 1544, 602, 10742, 707, 9422, 4170, 1247, 5885, 707, 2949, 1072, 543, 1134, 5630, 563, 8855, 267, 1367, 6114, 547, 8192, 2242, 666, 4268, 267, 543, 621, 779, 2629, 547, 6432, 547, 707, 1560, 267, 1118, 5483, 5079, 267, 543, 1265, 513, 8192, 1935, 602, 1568, 1655, 585, 596, 269, 0, 18131, 779, 7589, 538, 519, 13781, 538, 12925, 568, 1447, 982, 476, 1428, 829, 1298, 267, 519, 2622, 7813, 814, 1767, 563, 1103, 513, 1867, 267, 519, 2518, 13075, 1560, 1767, 1447, 982, 476, 1428, 829, 1298, 540, 2021, 960, 538, 12925, 543, 16888, 1247, 1152, 476, 2918, 829, 1298, 960, 538, 26288, 269, 16888, 543, 12925, 723, 930, 540, 519, 9803, 4775, 7694, 3928, 538, 519, 1158, 267, 621, 3773, 563, 6097, 547, 519, 1867, 267, 519, 3460, 547, 4283, 519, 4074, 2344, 3340, 602, 2021, 543, 6690, 616, 9280, 609, 519, 3617, 1983, 602, 5512, 873, 547, 6707, 18302, 689, 1353, 547, 960, 563, 288, 1804, 7934, 6818, 1063, 519, 28486, 267, 621, 6045, 267, 2523, 538, 12925, 267, 1141, 18923, 3368, 519, 2551, 540, 6690, 2347, 741, 3119, 2069, 3379, 547, 1614, 20453, 540, 8695, 267, 1247, 476, 3199, 829, 1298, 540, 8695, 9907, 476, 1724, 979, 547, 1153, 267, 3379, 547, 1152, 476, 2412, 829, 1298, 540, 6690, 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 ]
[ 610, 2744, 454, 8448, 4255, 610, 5574, 596, 949, 991, 912, 268, 5709, 1149, 949, 581, 2016, 547, 948, 4383, 2427, 2360, 540, 18068, 269, 901, 949, 1331, 11955, 547, 6175, 15353, 543, 13481, 267, 610, 547, 4383, 1928, 269, 589, 4915, 1031, 547, 1521, 4160, 543, 4965, 568, 3006, 5363, 585, 15672, 29302, 3361, 676, 2447, 334, 269, 901, 568, 513, 2783, 602, 5540, 13285, 538, 707, 7916, 267, 7953, 267, 3946, 267, 610, 3952, 269, 1411, 949, 849, 991, 4915, 547, 2061, 606, 3968, 563, 268, 2659, 3782, 8502, 786, 1931, 4255, 547, 2638, 875, 519, 2447, 334, 568, 2324, 269, 18873, 786, 849, 2638, 585, 2042, 602, 2447, 334, 949, 2014, 269, 10552, 543, 10729, 4255, 616, 1031, 547, 2638, 707, 1973, 1591, 2157, 267, 8459, 1599, 267, 543, 6797, 1599, 269, 2473, 11920, 267, 11632, 267, 610, 18909, 5961, 786, 1397, 952, 707, 10510, 814, 695, 337, 6064, 269, 1452, 4255, 786, 849, 1397, 952, 2860, 814, 3262, 547, 824, 4025, 538, 707, 1560, 563, 268, 1411, 949, 991, 513, 1973, 13816, 4288, 610, 4915, 547, 1118, 2635, 2281, 269, 6314, 334, 949, 2061, 707, 5642, 20768, 689, 1818, 2635, 1973, 2281, 269, 589, 1973, 13816, 4288, 568, 1031, 547, 5372, 1973, 2281, 602, 707, 5642, 20768, 3112, 1118, 269, 1411, 949, 849, 991, 4915, 547, 948, 707, 5642, 20768, 1118, 2635, 2281, 563, 268, 2659, 3782, 8502, 786, 2638, 585, 17537, 645, 630, 295, 29669, 264, 3968, 269, 1403, 4255, 1397, 596, 723, 5312, 670, 29669, 267, 596, 786, 581, 2016, 27179, 4915, 269, 1411, 786, 1491, 519, 4915, 1354, 2447, 334, 6238, 543, 3136, 585, 693, 2547, 476, 1321, 3275, 1310, 2447, 334, 7475, 269, 634, 4915, 2337, 2539, 519, 1981, 602, 519, 3644, 786, 1831, 3742, 1586, 269, 1403, 4255, 1397, 596, 723, 1100, 670, 29669, 3968, 267, 596, 949, 581, 2016, 4915, 547, 2061, 17537, 645, 563, 1432, 596, 991, 547, 917, 827, 2921, 2834, 11955, 610, 8324, 1282, 2447, 334, 912, 17004, 707, 3782, 8502, 513, 1592, 540, 3388, 602, 596, 4867, 1491, 269, 9105, 1864, 610, 1200, 952, 621, 568, 2922, 585, 596, 547, 1491, 707, 2834, 11955, 267, 8324, 267, 610, 9360, 1282, 2447, 334, 269, 2368, 949, 2061, 2447, 334, 689, 2324, 7157, 563, 268, 10163, 607, 2877, 269, 1411, 949, 1745, 13110, 585, 513, 1906, 2395, 1310, 3478, 2447, 334, 269, 17776, 547, 2238, 7444, 269, 1684, 811, 607, 596, 1745, 6793, 563, 268, 16202, 2635, 3536, 269, 13245, 3536, 1331, 5613, 267, 5388, 267, 2898, 3766, 1778, 3694, 338, 267, 1970, 19339, 10683, 2472, 267, 10365, 267, 10709, 16469, 267, 543, 3165, 269, 11153, 1507, 6980, 513, 1554, 949, 581, 4443, 547, 3548, 982, 513, 1906, 1804, 6980, 563, 268, 27276, 7899, 540, 15559, 269, 700, 1172, 1749, 786, 948, 2061, 18024, 689, 13481, 610, 13165, 269, 9105, 875, 1454, 5277, 547, 4235, 1142, 1554, 543, 799, 15559, 616, 1655, 585, 596, 563, 268, 16473, 3968, 269, 13773, 2476, 689, 1004, 945, 616, 7210, 269, 25169, 707, 3946, 4749, 543, 2307, 8436, 547, 11547, 741, 3946, 269, 9105, 1920, 543, 2828, 711, 547, 3643, 952, 789, 616, 7210, 269, 1684, 711, 6108, 942, 538, 22125, 4025, 971, 607, 7260, 519, 11596, 267, 544, 8712, 267, 610, 6173, 2209, 269, 9105, 707, 3782, 8502, 952, 596, 991, 10074, 563, 268, 28509, 4552, 2530, 269, 2422, 7646, 31576, 30139, 952, 707, 4552, 5956, 547, 6094, 610, 2887, 856, 269, 2422, 513, 2571, 1490, 626, 1194, 11453, 547, 2036, 707, 4552, 269, 1403, 596, 6336, 707, 4552, 267, 11547, 707, 21435, 609, 5848, 584, 1944, 31576, 30139, 610, 2783, 619, 269, 15233, 2603, 542, 543, 18552, 707, 21435, 1310, 513, 17643, 269, 2422, 24429, 267, 513, 11058, 267, 513, 10077, 325, 267, 610, 513, 530, 580, 547, 2149, 707, 21435, 689, 519, 3141, 269, 9105, 707, 3782, 8502, 1141, 596, 666, 6718, 513, 530, 580, 610, 4552, 4062, 563, 268, 4518, 609, 707, 3782, 8502, 547, 4383, 2427, 2360, 269, 11408, 2995, 707, 3782, 8502, 952, 596, 723, 2427, 2360, 269, 6875, 11955, 602, 4383, 2427, 2360, 607, 9859, 269, 9105, 707, 3782, 8502, 585, 811, 1344, 593, 875, 547, 4383, 1978, 2427, 2360, 563, 10287, 909, 609, 707, 4387, 610, 32346, 6048, 607, 9859, 912, 2791, 786, 991, 547, 1294, 707, 32346, 6048, 585, 5571, 4255, 543, 2126, 269, 3503, 1524, 707, 2055, 865, 596, 3314, 547, 2307, 873, 1282, 707, 11564, 563, 2690, 811, 1344, 543, 1489, 912, 2005, 949, 581, 2352, 585, 596, 543, 707, 1920, 547, 979, 998, 2860, 543, 2860, 5574, 269, 15012, 513, 1489, 1895, 610, 2911, 609, 1866, 945, 723, 8854, 998, 2126, 563, 268, 1977, 9435, 5980, 454, 7742, 13879, 9335, 454, 4263, 331, 9017, 2073, 21781, 476, 24062, 6734, 454, 17490, 281, 476, 272, 268, 476, 8517, 910, 476, 25375, 268, 23056, 276, 454, 16158, 17372, 281, 5291, 2517, 4178, 269, 4754, 1356, 3820, 454, 268, 2817, 9435, 4659, 454, 277, 1556, 277, 15445, 25376, 4582, 731, 267, 2672, 924, 476, 4968, 454, 289, 564, 1127, 6767, 2073, 11022, 476, 21172, 10844, 268, 279, 3953, 273, 454, 17490, 281, 476, 272, 268, 476, 8517, 910, 476, 32455, 268, 277, 2537, 278, 454, 16158, 17372, 281, 5291, 2517, 4178, 269, 4754, 1356, 10993, 454, 15100, 14645, 22126, 15278, 476, 1708, 272, 6176, 568, 585, 7736, 14871, 781, 946, 1152, 543, 949, 711, 581, 4421, 267, 23799, 30744, 610, 6382, 1031, 585, 5010, 5301, 269, 2353, 12383, 543, 2592, 3769, 538, 5516, 24687, 10378, 616, 519, 10677, 539, 3959, 540, 589, 6185, 6993, 8160, 1421, 5549, 269, 610, 22126, 23846, 2657, 454, 763, 1657, 1344, 568, 606, 3872, 5351, 1152, 269, 898, 568, 711, 5497, 607, 2564, 5796, 585, 1367, 2175, 610, 5574, 269, 13185, 547, 707, 4387, 267, 12016, 610, 14278, 626, 1354, 1739, 1022, 2564, 20786, 547, 1294, 952, 621, 568, 2922, 543, 2500, 585, 596, 563, 9596, 811, 827, 2271, 571, 27281, 6314, 8839, 630, 288, 3387, 17419, 5516, 994, 296, 13696, 23846, 12130, 668, 539, 1410, 454, 29490, 5077, 707, 3782, 8502, 547, 2327, 519, 1344, 10268, 593, 713, 2985, 10039, 547, 707, 2123, 6381, 269, 0, 13436, 885, 1063, 27427, 270, 7709, 2203, 543, 744, 10485, 2203, 454, 2467, 616, 865, 1082, 10486, 1063, 519, 27427, 270, 7709, 2203, 543, 519, 744, 10485, 2203, 540, 519, 32730, 1641, 269, 1809, 1934, 649, 616, 2469, 547, 1865, 513, 1906, 540, 519, 2798, 1644, 547, 27427, 270, 7709, 607, 5205, 563, 5308, 296, 7844, 10778, 15411, 1949, 954, 28947, 16172, 1572, 744, 10485, 2203, 799, 5161, 540, 476, 278, 6106, 543, 1169, 4494, 814, 513, 1978, 1599, 547, 621, 269, 3371, 891, 616, 519, 6106, 689, 799, 519, 1239, 568, 2095, 539, 1354, 8757, 922, 10278, 10416, 4358, 689, 519, 5377, 4494, 543, 10678, 693, 519, 1283, 4494, 950, 519, 1239, 568, 11843, 689, 835, 4087, 547, 1776, 4087, 538, 519, 8608, 609, 519, 948, 540, 13033, 269, 1452, 616, 519, 6106, 602, 616, 1459, 538, 519, 744, 10485, 2203, 540, 13033, 563, 307, 9573, 270, 7709, 7844, 10778, 9558, 3939, 1852, 7014, 16172, 1572, 27427, 270, 7709, 2203, 269, 6904, 5161, 540, 476, 275, 6106, 543, 1169, 4494, 814, 513, 1978, 1599, 547, 621, 269, 3371, 891, 616, 519, 6106, 689, 799, 519, 1239, 568, 2095, 539, 1354, 8757, 922, 10278, 10416, 4358, 689, 519, 5377, 4494, 543, 10678, 693, 519, 1283, 4494, 950, 519, 1239, 568, 11843, 689, 835, 4087, 547, 1776, 4087, 538, 519, 8608, 609, 519, 948, 540, 13033, 269, 1452, 616, 519, 6106, 602, 616, 1459, 538, 519, 27427, 270, 7709, 2203, 563, 13436, 885, 1063, 27427, 270, 7709, 2203, 543, 744, 10485, 2203, 10778, 4322, 616, 10486, 1063, 27427, 270, 7709, 543, 744, 10485, 3631, 607, 5205, 563, 306, 12991, 302, 269, 5381, 885, 27427, 270, 7709, 543, 744, 10485, 7844, 476, 272, 269, 7844, 5637, 27427, 270, 7709, 616, 9266, 3631, 269, 476, 273, 269, 12856, 5637, 616, 11231, 607, 30305, 8797, 799, 568, 849, 1572, 606, 11265, 2203, 269, 1452, 3631, 723, 513, 10518, 540, 10873, 621, 1797, 519, 7014, 568, 11231, 538, 1169, 4494, 269, 5637, 519, 3631, 723, 930, 1305, 540, 10873, 269, 476, 274, 269, 32730, 5637, 27427, 270, 7709, 5581, 4441, 585, 13033, 269, 476, 275, 269, 17563, 5637, 27427, 270, 7709, 1683, 513, 5943, 585, 2870, 543, 7598, 13033, 4441, 543, 3457, 269, 476, 276, 269, 9442, 1184, 5637, 27427, 270, 7709, 7941, 519, 3060, 2792, 1184, 883, 1818, 741, 6106, 269, 476, 277, 269, 5381, 3334, 769, 5637, 27427, 270, 7709, 3631, 10672, 2636, 1818, 5036, 3457, 543, 3060, 3334, 602, 666, 1071, 7721, 626, 543, 960, 609, 519, 3457, 543, 3334, 602, 616, 1500, 676, 519, 824, 9755, 269, 476, 278, 269, 10342, 769, 1312, 27427, 270, 7709, 3631, 267, 513, 2582, 4494, 11225, 513, 1880, 10342, 543, 1305, 4441, 585, 602, 10342, 1152, 269, 476, 279, 269, 24410, 7632, 327, 17415, 5637, 519, 27427, 270, 7709, 3631, 28976, 741, 30076, 1184, 676, 12270, 519, 4494, 779, 1950, 3252, 883, 12863, 3334, 540, 519, 4494, 269, 476, 280, 269, 25494, 4441, 5502, 540, 10747, 519, 2907, 3989, 4441, 543, 10873, 538, 1312, 519, 27427, 270, 7709, 3631, 269, 1280, 1383, 267, 519, 25494, 4441, 941, 2907, 3989, 676, 20959, 1354, 23312, 547, 1711, 891, 3631, 269, 1924, 3079, 540, 10747, 873, 1586, 538, 1312, 519, 3631, 540, 20959, 25494, 4441, 563, 1103, 713, 3296, 267, 649, 723, 4988, 519, 7650, 540, 744, 10485, 543, 27427, 270, 7709, 2203, 267, 543, 4746, 596, 786, 581, 2111, 547, 1174, 519, 10486, 950, 1312, 27427, 270, 7709, 543, 744, 10485, 2203, 540, 2780, 5121, 563, 16920, 1549, 5467, 256, 5213, 1406, 3247, 1565, 1631, 269, 6657, 717, 12442, 981, 1134, 1354, 519, 4890, 981, 609, 519, 1641, 30150, 543, 2949, 17118, 2139, 538, 717, 12442, 4530, 10022, 6092, 563, 9596, 782, 717, 12442, 11483, 2035, 609, 5131, 14970, 26643, 593, 938, 596, 32353, 8756, 269, 0, 763, 1072, 18591, 814, 9307, 602, 513, 21782, 538, 5046, 268, 866, 568, 4397, 1310, 3506, 556, 268, 13449, 593, 476, 1724, 5181, 543, 13890, 3877, 540, 519, 5773, 547, 581, 4553, 563, 763, 2229, 814, 585, 3275, 6829, 922, 8990, 547, 1832, 3506, 1930, 267, 543, 621, 814, 1044, 4956, 602, 952, 13685, 540, 5046, 268, 866, 616, 4362, 538, 513, 1880, 1362, 267, 519, 7783, 2875, 4882, 786, 581, 9678, 543, 2366, 1753, 543, 519, 6967, 1053, 786, 581, 7318, 5781, 267, 865, 602, 3003, 5049, 786, 711, 581, 7142, 547, 9505, 1524, 607, 789, 1705, 2063, 1032, 563, 763, 3390, 729, 9619, 693, 519, 12353, 1072, 18591, 5618, 532, 676, 18603, 2160, 7905, 540, 14529, 8824, 338, 543, 29956, 15302, 966, 3570, 14466, 822, 13370, 537, 267, 513, 4759, 540, 519, 2817, 9730, 593, 5046, 910, 866, 267, 945, 13890, 519, 3803, 5773, 585, 519, 556, 19945, 2287, 540, 3506, 865, 602, 3003, 5049, 610, 513, 1153, 538, 2489, 786, 711, 723, 547, 9505, 1524, 7357, 563, 763, 1505, 540, 3346, 16439, 865, 607, 547, 6895, 6771, 538, 519, 1153, 1604, 568, 513, 1883, 3693, 540, 519, 1544, 563, 2108, 9213, 267, 519, 6138, 1496, 1952, 25209, 316, 7357, 1114, 269, 17261, 1588, 568, 513, 4439, 342, 1046, 602, 14998, 538, 16512, 5106, 540, 938, 3506, 267, 1247, 1582, 2389, 3949, 948, 2569, 6771, 540, 519, 3644, 1369, 3506, 543, 538, 519, 2146, 2223, 1352, 1767, 563, 763, 1883, 585, 519, 2922, 5106, 540, 3506, 568, 2834, 1582, 2389, 3949, 585, 796, 341, 3147, 3990, 1053, 563, 8072, 2750, 4624, 4473, 538, 519, 1297, 540, 2665, 711, 24034, 20371, 303, 777, 2801, 341, 13370, 537, 1767, 602, 519, 4397, 30382, 538, 519, 1297, 540, 9672, 2665, 538, 519, 4947, 4374, 1058, 711, 15372, 3237, 607, 1053, 786, 581, 2838, 547, 723, 1582, 2389, 3949, 269, 2701, 7074, 267, 2705, 267, 602, 1514, 26865, 543, 13390, 1081, 776, 3800, 971, 607, 519, 946, 540, 13968, 786, 581, 24451, 563, 9515, 11855, 513, 1007, 1353, 602, 1336, 602, 519, 946, 540, 13968, 5916, 609, 10368, 4152, 20427, 6971, 6771, 543, 14998, 519, 2922, 5106, 540, 3506, 563, 309, 3147, 1588, 540, 10708, 454, 8802, 8973, 519, 12674, 540, 10708, 267, 14466, 2801, 341, 13370, 537, 1767, 602, 476, 1839, 2600, 540, 9972, 1164, 1153, 1053, 1496, 569, 651, 1470, 316, 723, 4607, 519, 1101, 9570, 540, 519, 6669 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4306, 292, 4456, 5494, 6847, 543, 14506, 12754, 14173, 454, 11947, 7400, 3621, 11407, 568, 1883, 547, 1022, 3811, 5254, 292, 4456, 4928, 269, 1280, 5254, 292, 4456, 3785, 547, 581, 5963, 2500, 267, 7855, 991, 547, 4225, 11407, 267, 2308, 3483, 995, 15819, 267, 543, 5000, 1053, 547, 2992, 593, 1018, 789, 4076, 4121, 269, 8281, 519, 1863, 5254, 292, 4456, 5494, 6847, 543, 14506, 12754, 14173, 547, 3986, 891, 2853, 538, 707, 4928, 269, 14173, 2882, 912, 268, 5494, 6847, 8086, 585, 5254, 292, 4456, 7855, 454, 268, 7726, 12987, 547, 946, 1282, 1142, 5123, 540, 513, 5254, 292, 4456, 1788, 454, 268, 7046, 25804, 2243, 4845, 26784, 454, 268, 5254, 292, 4456, 17564, 8871, 14186, 30453, 585, 1053, 454, 268, 11545, 5741, 4643, 1676, 1299, 14506, 4976, 454, 268, 5741, 14506, 4976, 454, 268, 1656, 811, 2336, 293, 650, 856, 519, 1106, 547, 4647, 1631, 563, 17239, 22664, 24199, 5508, 29052, 281, 0, 2026, 2029, 10607, 543, 5777, 6749, 267, 3859, 1648, 568, 11543, 8560, 607, 513, 2973, 267, 4264, 1648, 2707, 269, 634, 476, 7785, 2914, 3430, 3859, 8470, 568, 4922, 1031, 538, 6469, 3859, 1648, 1949, 563, 32292, 1564, 899, 713, 949, 2569, 513, 1753, 779, 5993, 1648, 3915, 676, 607, 1454, 607, 476, 3199, 2600, 1247, 1373, 1507, 2614, 547, 3514, 593, 1034, 22908, 269, 5015, 267, 789, 723, 513, 1164, 3887, 11797, 2557, 267, 799, 1797, 811, 3141, 1648, 568, 10736, 883, 26729, 1379, 563, 7785, 2914, 3430, 3859, 8440, 616, 606, 5140, 5092, 538, 7791, 1648, 1317, 540, 741, 4390, 547, 24390, 835, 779, 16126, 593, 8093, 10173, 543, 6175, 10865, 1379, 3790, 563, 1692, 3509, 20242, 1206, 6496, 513, 476, 7785, 8862, 3430, 9891, 19937, 21277, 576, 888, 288, 476, 7785, 2914, 3430, 3859, 8470, 568, 513, 7347, 543, 3608, 3903, 585, 1753, 3859, 1648, 1949, 269, 2201, 513, 6505, 1554, 267, 835, 476, 7785, 2914, 3430, 8470, 949, 5352, 10199, 476, 7785, 26334, 610, 476, 7785, 2914, 3430, 3620, 2293, 829, 5662, 563, 13010, 267, 1034, 3859, 8440, 723, 513, 5021, 1379, 3977, 267, 610, 968, 4067, 30066, 12773, 2223, 602, 568, 1152, 6603, 896, 6099, 2175, 269, 5457, 602, 2504, 10892, 543, 2825, 4632, 899, 2837, 543, 12094, 786, 2569, 4890, 3977, 2630, 713, 3446, 563, 1692, 3509, 2549, 1186, 6496, 513, 476, 7785, 8862, 3430, 9891, 19937, 21277, 576, 888, 7212, 519, 1379, 3977, 540, 513, 476, 7785, 2914, 3430, 3859, 8470, 568, 8101, 267, 519, 993, 704, 720, 693, 799, 602, 1379, 568, 9447, 568, 607, 2565, 269, 634, 2450, 540, 5122, 12904, 543, 5547, 2736, 619, 568, 1419, 5462, 676, 519, 2179, 540, 1699, 6027, 538, 993, 1186, 610, 993, 701, 637, 563, 15152, 4998, 2175, 267, 513, 476, 7785, 2914, 3430, 3859, 8470, 786, 1683, 827, 476, 1839, 993, 1186, 540, 1699, 563, 2005, 779, 1271, 547, 3314, 602, 513, 3859, 8470, 779, 2504, 3810, 5673, 593, 2139, 7943, 543, 824, 2825, 2188, 269, 769, 513, 3859, 1379, 1062, 267, 519, 3859, 8440, 949, 581, 5532, 538, 3126, 610, 6252, 267, 609, 519, 993, 704, 720, 4299, 676, 1312, 519, 2698, 5547, 543, 519, 6453, 1377, 563, 2414, 2061, 14124, 519, 5279, 17120, 543, 519, 6007, 4871, 267, 621, 779, 2629, 602, 519, 3859, 1379, 1062, 779, 18041, 12773, 5330, 609, 741, 19206, 563, 1432, 2052, 513, 476, 7785, 8862, 3430, 9891, 19937, 5295, 888, 2080, 779, 1018, 476, 7785, 2914, 3430, 3859, 8470, 666, 1379, 912, 25238, 5271, 823, 1475, 20175, 8571, 630, 310, 30476, 10534, 4692, 898, 5295, 519, 27620, 286, 2008, 1432, 6496, 513, 476, 7785, 8862, 3430, 9891, 19937, 8779, 888, 288, 476, 7785, 2914, 3430, 3859, 8470, 666, 1942, 9170, 689, 1269, 1220, 547, 1269, 272, 267, 1822, 267, 4470, 593, 519, 6216, 267, 4398, 267, 543, 15549, 344, 269, 2368, 1164, 3887, 11797, 8440, 949, 1942, 6251, 547, 519, 2362, 1439, 540, 602, 2039, 267, 1247, 811, 6578, 7888, 3681, 786, 581, 6251, 547, 519, 2539, 1439, 563, 12234, 267, 11449, 538, 13557, 610, 607, 851, 540, 513, 2347, 3859, 8470, 1062, 666, 1860, 519, 1942, 269, 898, 779, 4502, 15663, 602, 513, 476, 7785, 2914, 3430, 3859, 8470, 666, 3132, 2614, 1648, 547, 1379, 513, 1507, 547, 5420, 13355, 1753, 267, 1818, 519, 5092, 1134, 4502, 621, 538, 519, 1279, 2196, 607, 621, 666, 3648, 2569, 610, 1256, 9004, 5201, 12014, 563, 8005, 24439, 476, 7785, 8862, 3430, 9891, 7754, 1564, 888, 32292, 1564, 609, 513, 476, 4335, 2914, 3430, 3977, 616, 14475, 676, 513, 2647, 3099, 540, 9755, 269, 3371, 616, 519, 10672, 779, 540, 476, 1911, 654, 3430, 3859, 8470, 538, 7330, 912, 347, 30262, 9609, 1475, 7785, 310, 476, 1321, 309, 270, 2190, 309, 3933, 665, 31051, 710, 9891, 20031, 1756, 14173, 2008, 347, 23613, 9891, 1475, 7785, 654, 3430, 9891, 14173, 2008, 347, 10907, 641, 1077, 1475, 10907, 641, 1077, 476, 7785, 310, 3933, 334, 4563, 681, 309, 9891, 3590, 2008, 347, 275, 15031, 686, 1824, 1475, 15031, 686, 582, 5295, 31098, 476, 1911, 8862, 3430, 674, 13783, 9891, 19937, 2008, 7617, 476, 7785, 8862, 3430, 9891, 19937, 1772, 519, 7454, 888, 30262, 9609, 814, 2919, 513, 476, 7785, 2914, 3430, 3859, 8470, 585, 946, 538, 519, 1390, 13964, 602, 13333, 10446, 540, 519, 7470, 269, 898, 779, 4998, 585, 946, 538, 519, 1390, 13964, 267, 2436, 538, 513, 13452, 267, 28561, 267, 681, 309, 267, 10935, 267, 610, 4342, 704, 267, 7064, 547, 922, 1164, 4398, 267, 8476, 12123, 4398, 267, 543, 26228, 5295, 8672, 31524, 2029, 5610, 563, 10376, 9074, 814, 513, 21271, 26534, 585, 1164, 4398, 1256, 538, 3897, 1769, 267, 543, 519, 570, 8976, 1394, 6656, 26632, 919, 3002, 585, 5812, 3977, 269, 19204, 616, 13104, 539, 689, 17522, 676, 519, 1617, 559, 9707, 6656, 22495, 725, 269, 0, 288, 1382, 1957, 568, 606, 28608, 2376, 602, 6799, 2901, 707, 7664, 610, 7778, 610, 10385, 827, 1022, 1641, 269, 1879, 596, 1101, 2328, 606, 1557, 267, 3622, 596, 946, 1152, 1018, 596, 2907, 917, 610, 723, 2808, 513, 1641, 269, 1879, 596, 8385, 2328, 513, 1382, 1957, 267, 596, 5402, 4020, 513, 8367, 543, 1287, 1491, 782, 602, 596, 917, 811, 827, 519, 1641, 543, 1118, 513, 6857, 4674, 547, 1265, 856, 1018, 824, 4966, 3494, 269, 3973, 596, 5659, 741, 22195, 543, 13404, 593, 875, 789, 6474, 707, 3069, 269, 2991, 596, 4076, 6192, 713, 596, 23590, 707, 1957, 543, 1865, 621, 609, 513, 5386, 3562, 1054, 2036, 865, 607, 547, 1118, 1978, 602, 782, 707, 1382, 568, 2178, 543, 10039, 538, 519, 2016, 3871, 563, 19013, 267, 1603, 513, 1382, 1957, 3006, 3340, 606, 3312, 2219, 267, 865, 1018, 952, 596, 723, 2907, 2854, 602, 1353, 1957, 543, 621, 798, 711, 4019, 547, 519, 1880, 1888, 286, 1548, 952, 596, 4076, 3893, 513, 1732, 2856, 585, 1603, 621, 286, 1215, 798, 596, 1205, 3323, 286, 4270, 267, 972, 616, 513, 2039, 540, 1919, 602, 835, 949, 798, 547, 2490, 513, 1101, 8908, 883, 513, 1390, 835, 269, 3371, 616, 1175, 2185, 540, 1250, 1655, 4388, 585, 5355, 707, 1557, 563, 5575, 267, 2689, 9708, 269, 3371, 568, 519, 14724, 1259, 547, 2253, 1603, 707, 1382, 1957, 2094, 621, 666, 1450, 596, 547, 3251, 593, 4305, 269, 5620, 513, 1413, 693, 3905, 2689, 9708, 543, 24096, 593, 519, 4950, 543, 946, 873, 607, 513, 7914, 1055, 1448, 585, 707, 1360, 1378, 3312, 1382, 3561, 269, 634, 3355, 1382, 2376, 543, 7291, 786, 1683, 596, 609, 513, 4712, 13402, 6292, 540, 2645, 547, 1376, 707, 1382, 1957, 563, 13553, 267, 1118, 606, 7291, 269, 1411, 3580, 1616, 547, 2322, 1927, 782, 540, 707, 1382, 1957, 779, 2101, 6810, 1107, 4367, 267, 1560, 267, 543, 5098, 3948, 1107, 543, 1287, 10891, 782, 707, 4967, 543, 14327, 2687, 547, 513, 1978, 3898, 269, 898, 568, 2241, 547, 4647, 513, 10959, 593, 519, 1158, 2647, 1357, 610, 1820, 856, 930, 5360, 21747, 14592, 689, 519, 6280, 5399, 799, 17412, 11249, 585, 1382, 4574, 269, 3973, 596, 1175, 991, 547, 6445, 538, 519, 1344, 543, 1205, 3323, 2324, 593, 707, 7291, 563, 23612, 267, 6582, 707, 15853, 269, 3767, 602, 596, 723, 3893, 707, 7291, 267, 513, 5758, 540, 707, 15853, 267, 2059, 609, 1655, 2228, 1603, 3028, 707, 7291, 267, 596, 991, 547, 10891, 707, 2200, 269, 2659, 1957, 1058, 723, 513, 2489, 3804, 610, 5098, 3948, 693, 519, 4098, 267, 513, 1560, 1519, 707, 12190, 13132, 630, 604, 3617, 16532, 513, 4901, 3296, 267, 543, 513, 3932, 269, 634, 4901, 3296, 666, 581, 5258, 883, 835, 547, 1079, 3817, 4470, 593, 519, 3259, 540, 707, 1957, 282, 519, 1560, 666, 723, 1896, 3594, 269, 1411, 666, 1256, 3442, 547, 1331, 513, 2123, 21169, 610, 930, 2123, 8369, 827, 519, 1808, 1382, 1888, 610, 1888, 593, 707, 1957, 563, 19177, 628, 267, 17492, 707, 1353, 2243, 543, 2626, 851, 269, 3503, 713, 5057, 540, 707, 1382, 1957, 2899, 596, 4076, 8737, 707, 4367, 543, 7291, 269, 898, 949, 849, 581, 5363, 547, 1224, 824, 1382, 4574, 602, 5702, 1246, 707, 1378, 538, 1931, 547, 1205, 513, 1732, 1620, 540, 1018, 596, 2461, 12394, 547, 1685, 269, 2422, 713, 1858, 547, 14969, 593, 799, 596, 1589, 519, 5856, 779, 7440, 616, 543, 2436, 972, 779, 1489, 585, 971, 6811, 538, 519, 3332, 563, 293, 604, 628, 267, 1699, 543, 1865, 707, 5098, 269, 3767, 596, 616, 3592, 2944, 676, 1603, 707, 1382, 1957, 267, 2705, 972, 568, 835, 3803, 1900, 547, 1491, 1354, 621, 4422, 547, 519, 17404, 269, 5623, 519, 2835, 585, 1022, 3606, 1382, 602, 949, 1291, 909, 547, 707, 3119, 5098, 269, 3417, 713, 538, 707, 15853, 563, 16240, 1382, 4574, 666, 581, 513, 18447, 5650, 269, 1809, 952, 596, 1246, 891, 8846, 596, 786, 723, 2370, 8373, 18138, 513, 2298, 1382, 1957, 269, 4746, 267, 676, 1603, 713, 1382, 1957, 693, 513, 811, 21363, 10605, 596, 3580, 849, 723, 519, 2702, 547, 1491, 607, 1454, 942, 2877, 547, 4625, 1174, 543, 14377, 519, 1353, 538, 1489, 540, 707, 1292, 4661, 269, 1656, 6368, 267, 676, 1603, 693, 513, 811, 16837, 569, 10605, 596, 3580, 849, 581, 2111, 547, 1020, 707, 1893, 1983, 269, 3194, 532, 543, 1603, 513, 1382, 1957, 666, 581, 835, 540, 519, 1034, 14785, 18697, 267, 855, 899, 782, 1434, 1919, 267, 621, 3340, 4674, 269, 0, 29020, 1677, 4983, 519, 1764, 540, 30993, 267, 3926, 1826, 543, 1072, 9963, 6835, 593, 6107, 13283, 585, 5907, 15522, 6765, 1949, 630, 2894, 9169, 1070, 543, 547, 1683, 2963, 543, 1239, 547, 1217, 519, 5253, 543, 10684, 10029, 779, 1761, 9431, 3527, 593, 13673, 9169, 563, 17637, 1323, 2228, 15768, 3903, 4603, 729, 5342, 538, 5181, 476, 1001, 276, 269, 3962, 16045, 729, 2016, 8370, 3903, 5036, 543, 4280, 547, 3442, 835, 856, 540, 1079, 4244, 13673, 9169, 2472, 267, 609, 8795, 4162, 538, 1614, 10305, 630, 4148, 822, 712, 267, 3926, 1826, 543, 9963, 5048, 1040, 634, 1764, 540, 519, 10305, 593, 519, 5506, 540, 7446, 13673, 9169, 729, 21845, 1210, 19585, 543, 29005, 2845, 527, 1036, 11306, 267, 9013, 585, 1367, 1124, 1675, 655, 4919, 4162, 543, 1699, 7296, 4567, 563, 30787, 543, 5171, 589, 2489, 2551, 3732, 540, 476, 276, 1428, 5171, 630, 2004, 2479, 268, 22852, 543, 476, 275, 4792, 2760, 268, 22852, 540, 13673, 9169, 264, 9907, 476, 1691, 1700, 1704, 1296, 941, 25945, 547, 2347, 519, 4603, 1210, 606, 2228, 8470, 563, 24342, 22500, 4882, 933, 1115, 11486, 1197, 720, 7657, 2293, 3648, 2333, 519, 5506, 540, 7446, 13673, 9169, 1851, 6107, 630, 335, 283, 271, 269, 4905, 585, 2760, 268, 22852, 543, 2999, 271, 269, 272, 585, 2479, 268, 22852, 264, 543, 30993, 814, 519, 1034, 14733, 1764, 1851, 1614, 10305, 269, 7324, 2760, 268, 22852, 267, 6497, 3128, 30993, 849, 4679, 630, 335, 283, 271, 269, 4962, 264, 519, 5506, 540, 7446, 13673, 9169, 3379, 609, 10269, 30993, 269, 966, 12686, 3457, 602, 616, 1110, 16666, 267, 3379, 609, 16906, 6438, 552, 24294, 10577, 267, 2333, 630, 335, 283, 271, 269, 4962, 264, 519, 5506, 540, 7446, 13673, 9169, 1851, 15730, 2760, 268, 22852, 269, 2782, 940, 6835, 2569, 630, 335, 283, 271, 269, 4905, 264, 519, 5506, 540, 7446, 13673, 9169, 1851, 2760, 268, 22852, 563, 3519, 7501, 543, 10083, 10163, 878, 1154, 4829, 4882, 933, 1115, 11486, 1197, 720, 7657, 2293, 538, 13673, 9169, 267, 15725 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 1708, 273, 1040, 1677, 17546, 610, 3502, 547, 17546, 286, 24167, 519, 8865, 585, 23889, 4856, 22046, 532, 27449, 883, 7216, 18520, 3427, 15099, 269, 12409, 5525, 538, 9119, 267, 476, 10441, 263, 274, 1070, 476, 28766, 268, 31172, 780, 314, 317, 274, 13912, 9466, 267, 590, 1421, 1299, 5682, 267, 595, 269, 630, 1708, 274, 1040, 7043, 15994, 8177, 540, 28038, 4856, 22046, 532, 27449, 16610, 7216, 538, 5664, 3427, 281, 29362, 689, 513, 15932, 1242, 6513, 5530, 269, 4750, 540, 3194, 538, 4065, 267, 476, 10037, 263, 272, 1070, 476, 3393, 268, 7830, 780, 314, 317, 275, 13912, 13177, 267, 631, 1421, 1299, 6519, 267, 717, 269, 630, 1708, 275, 1040, 6657, 24439, 17828, 281, 15766, 908, 519, 10020, 540, 3115, 564, 1438, 22580, 538, 29923, 4856, 22046, 532, 24234, 22384, 570, 3696, 269, 4139, 4750, 540, 13241, 4065, 267, 476, 1724, 263, 272, 1070, 476, 272, 268, 866, 780, 314, 317, 276, 13912, 20831, 267, 700, 1421, 1299, 16026, 267, 918, 269, 630, 1708, 276, 1040, 15332, 14502, 4515, 11351, 281, 10289, 26426, 4211, 4321, 11790, 19928, 5024, 547, 21988, 4804, 27159, 538, 4856, 22046, 532, 24234, 25705, 269, 10017, 540, 9119, 4065, 267, 476, 9262, 263, 275, 1070, 476, 276, 4281, 268, 6795, 274, 269, 0, 8620, 606, 1349, 540, 513, 3621, 4760, 2376, 585, 1412, 28757, 9119, 3299, 3358, 585, 4648, 543, 3173, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 10481, 5852, 8339, 769, 1880, 267, 3296, 1412, 17951, 956, 8339, 1284, 723, 2907, 4988, 519, 1739, 1770, 538, 713, 3296, 281, 1412, 12218, 4328, 27449, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 12218, 4328, 27449, 3299, 1412, 8253, 566, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 12218, 4328, 27449, 3299, 1412, 8253, 566, 3299, 1412, 3849, 329, 8809, 27449, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 12218, 4328, 27449, 3299, 1412, 8253, 566, 3299, 1412, 3849, 329, 8809, 27449, 3299, 1412, 11045, 11915, 27449, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 12218, 4328, 27449, 3299, 1412, 8253, 566, 3299, 1412, 3849, 329, 8809, 27449, 3299, 1412, 11045, 11915, 27449, 3299, 1412, 4467, 921, 29232, 27449, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 4467, 921, 29232, 27449, 3299, 1412, 4467, 921, 29232, 27449, 3299, 1412, 8253, 566, 3299, 1412, 309, 1068, 673, 27449, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 3849, 329, 8809, 27449, 3299, 1412, 309, 1068, 673, 27449, 3299, 1412, 9558, 951, 1023, 3299, 1412, 9558, 951, 1023, 3299, 1412, 4467, 921, 29232, 27449, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 9558, 951, 1023, 3299, 1412, 12218, 4328, 27449, 3299, 1412, 8253, 566, 8339, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 21446, 622, 25181, 27449, 3299, 1412, 4467, 921, 29232, 27449, 3299, 1412, 3849, 329, 8809, 27449, 3299, 1412, 3849, 329, 8809, 27449, 3299, 1412, 8253, 566, 8339, 3503, 513, 1007, 1770, 11331, 1412, 17357, 22046, 532, 27449, 8339, 3371, 781, 930, 1257, 585, 6667, 281, 4856, 22046, 532, 7285, 3277, 547, 835, 16538, 5086, 543, 835, 9703, 5086, 593, 519, 1482, 2427, 607, 519, 1098, 951, 531, 267, 799, 723, 3160, 3800, 269, 769, 1496, 15062, 3910, 4399, 1889, 25979, 4120, 476, 272, 259, 543, 4399, 1889, 25979, 4120, 476, 276, 259, 616, 7222, 7285, 543, 723, 3160, 3800, 282, 4399, 1889, 25979, 4120, 476, 274, 259, 543, 4399, 1889, 25979, 4120, 476, 278, 259, 616, 7222, 7285, 543, 723, 3160, 3800, 282, 4399, 1889, 25979, 4120, 476, 273, 259, 543, 4399, 1889, 25979, 4120, 476, 277, 259, 616, 7222, 7285, 543, 723, 3160, 3800, 282, 4399, 1889, 25979, 4120, 476, 275, 259, 543, 4399, 1889, 25979, 4120, 476, 279, 259, 616, 7222, 7285, 543, 723, 3160, 3800, 607, 1134, 780, 763, 2511, 1058, 11604, 602, 540, 513, 14046, 8313, 267, 711, 1153, 9499, 267, 17935, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 269, 8347, 547, 1384, 268, 10558, 4359, 6436, 267, 1210, 2930, 543, 4081, 1893, 563, 268, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 267, 609, 513, 2143, 6514, 540, 12170, 1239, 543, 8579, 16097, 563, 268, 634, 2376, 1058, 2992, 519, 3178, 543, 6988, 540, 1543, 1336, 538, 1283, 2389, 1512, 9297, 13746, 267, 5497, 585, 513, 3988, 1222, 7184, 31737, 538, 519, 2361, 563, 268, 1684, 711, 1039, 2097, 909, 609, 8100, 610, 1039, 873, 693, 519, 1439, 540, 519, 2376, 269, 1403, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 543, 798, 711, 946, 2592, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4862, 596, 2811, 2469, 547, 1491, 513, 1686, 1362, 713, 2887, 269, 2334, 781, 3579, 256, 1548, 616, 596, 1565, 827, 2496, 7692, 281, 19743, 7705, 256, 23010, 267, 621, 781, 1572, 834, 19615, 1315, 10749, 1701, 1284, 786, 2263, 12316, 5322, 1282, 519, 476, 736, 628, 2540, 269, 1411, 917, 267, 899, 950, 1004, 10692, 585, 2462, 2242, 538, 741, 2477, 780, 8334, 281, 7937, 267, 594, 1294, 256, 6145, 9410, 13162, 3751, 12789, 9538, 338, 3540, 2924, 3350, 1934, 538, 3013, 2496, 7692, 281, 22549, 256, 1656, 972, 941, 1082, 811, 1472, 519, 1158, 1932, 269, 3776, 4116, 1767, 649, 1131, 1353, 1585, 3119, 2959, 267, 799, 1797, 3312, 6054, 2854, 676, 1004, 945, 5030, 1394, 1287, 780, 8334, 281, 15346, 256, 1924, 267, 1018, 2186, 540, 1983, 786, 596, 1451, 538, 707, 1362, 2496, 7692, 281, 4270, 267, 789, 1616, 721, 547, 1589, 899, 12206, 798, 269, 1358, 4001, 721, 547, 2307, 1434, 2055, 267, 1265, 1271, 1344, 267, 543, 1174, 1114, 5380, 593, 2621, 780, 8334, 281, 670, 7825, 1862, 666, 596, 2285, 803, 606, 1383, 540, 875, 596, 1522, 946, 891, 1983, 3544, 540, 1153, 2496, 7692, 281, 17610, 256, 2913, 781, 2161, 596, 4941, 547, 2328, 606, 1557, 827, 707, 5172, 1433, 3126, 269, 1677, 1376, 3206, 899, 513, 14787, 267, 1101, 267, 596, 1223, 2307, 3054, 930, 2055, 269, 1280, 3236, 267, 1946, 1705, 519, 2278, 3442, 1978, 5468, 610, 1915, 7592, 286, 1215, 1281, 713, 1860, 519, 1650, 286, 3973, 267, 1413, 585, 2963, 1369, 519, 2835, 2933, 543, 6148, 1256, 11042, 609, 519, 5856, 2228, 269, 7053, 267, 2015, 824, 8369, 1107, 5310, 2828, 723, 18312, 5784, 593, 519, 1482, 3126, 269, 1635, 3257, 782, 713, 267, 596, 1711, 513, 1134, 25454, 4661, 20483, 909, 676, 4396, 5013, 543, 15826, 4030, 780, 8334, 281, 26272, 267, 602, 2306, 865, 1454, 2631, 256, 3767, 594, 1205, 1946, 4974, 26201, 6927, 269, 3807, 899, 4589, 2870, 2984, 267, 4838, 2456, 960, 2509, 4657, 7239, 269, 5637, 991, 6297, 4058, 543, 7156, 780, 7692, 281, 25999, 256, 9578, 267, 2348, 2178, 2565, 3206, 1983, 2337, 721, 1118, 1732, 5079, 1169, 1554, 269, 5994, 6217, 3377, 5359, 827, 17600, 8345, 7404, 269, 1403, 596, 1174, 875, 1689, 4523, 936, 942, 543, 5431, 519, 3123, 3297, 971, 3527, 267, 596, 1831, 513, 811, 5483, 12504, 5827, 540, 8108, 13473, 8369, 780, 8334, 281, 6936, 256, 4197, 938, 2250, 5963, 5546, 938, 2104, 269, 6153, 9939, 609, 707, 1362, 267, 7585, 256, 594, 4126, 596, 2972, 11362, 883, 12316, 5322, 543, 4687, 707, 16012, 1702, 609, 1866, 780, 7692, 281, 8729, 267, 7705, 256, 594, 993, 9599, 547, 1451, 811, 827, 891, 11358, 8090, 538, 1480, 1686, 543, 3605, 4296, 1063, 9583, 20775, 2621, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2319, 2389, 4381, 29519, 7710, 519, 476, 736, 628, 2540, 538, 2518, 13354, 5133, 267, 998, 519, 2542, 267, 13865, 1436, 543, 2079, 540, 5631, 3119, 2707, 5931, 543, 6054, 269, 769, 1022, 2016, 1032, 267, 519, 29519, 6212, 593, 835, 540, 1079, 4798, 281, 519, 2022, 21351, 1158, 630, 8619, 269, 3707, 276, 268, 2735, 280, 264, 610, 519, 954, 21351, 1158, 630, 4489, 280, 268, 4350, 280, 1040, 898, 3217, 909, 4798, 540, 3376, 2797, 267, 2804, 543, 1514, 14759, 282, 3621, 543, 6639, 10124, 282, 543, 519, 2686, 10593, 602, 7018, 2429, 891, 5756, 18631, 543, 1739, 519, 5822, 2622, 2782, 269, 634, 29519, 6810, 2743, 24973, 2899, 513, 3018, 585, 15872, 610, 8874, 543, 14384, 2899, 513, 3018, 585, 4901, 540, 3119, 21299, 13220, 269, 769, 1840, 547, 519, 3638, 3140, 1570, 602, 519, 1576, 9607, 267, 1053, 2253, 547, 1451, 519, 2596, 1983, 540, 519, 14787, 281, 6998, 2055, 267, 4466, 543, 7421, 4143, 6054, 610, 3119, 2959, 267, 543, 7114, 1114, 5686, 540, 12496, 540, 1346, 2959, 269, 901, 12523, 4724, 519, 2413, 10421, 11110, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 3725, 23728, 776, 28073, 257, 607, 851, 540, 834, 19615, 1315, 10749, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 7170, 281, 18430, 532, 513, 26592, 8865, 5530, 593, 645, 4275, 1017, 610, 5564, 4275, 1017, 4841, 262, 5441, 23800, 692, 272, 269, 16294, 707, 1382, 2243, 281, 10670, 676, 7114, 513, 1808, 2460, 540, 1979, 24055, 610, 3818, 24055, 1053, 262, 2852, 2833, 602, 596, 1131, 899, 547, 8495, 269, 1280, 1383, 267, 596, 1522, 1616, 547, 2263, 2188, 12018, 741, 2631, 540, 10362, 267, 4081, 2773, 267, 610, 1514, 5610, 269, 5269, 2386, 707, 1382, 2243, 568, 2312, 267, 5059, 267, 543, 4143, 547, 519, 2361, 540, 645, 4275, 1017, 1299, 5564, 4275, 1017, 5525, 563, 273, 269, 8564, 513, 5078, 3732, 281, 10576, 513, 1804, 4357, 6280, 609, 513, 3309, 2551, 267, 23679, 1519, 513, 1713, 1297, 540, 1979, 24055, 610, 3818, 24055, 1053, 269, 5136, 1555, 10479, 547, 2445, 1239, 689, 1101, 4458, 896, 6588, 706, 919, 945, 2697, 607, 1979, 24055, 610, 3818, 24055, 269, 6333, 1210, 14404, 1881, 10386, 2553, 547, 2327, 7850, 6041, 540, 1585, 7292, 4282, 10659, 563, 274, 269, 5071, 707, 5619, 6293, 281, 11154, 513, 24019, 5619, 1907, 971, 607, 519, 24332, 10418, 585, 519, 5530, 540, 14451, 4065, 11752, 547, 9290, 707, 2115, 269, 901, 949, 1331, 4946, 2055, 4481, 13389, 2152, 5185, 676, 1979, 24055, 610, 3818, 24055, 1053, 269, 10312, 593, 13830, 3344, 540, 741, 6788, 267, 2833, 267, 1377, 540, 6278, 267, 543, 2949, 1576, 9547, 269, 15815, 582, 1449, 707, 5619, 547, 2708, 922, 7145, 543, 1118, 2556, 26941, 1354, 28720, 621, 547, 707, 2407, 3732, 563, 275, 269, 11814, 1239, 281, 20518, 1393, 519, 5619, 547, 707, 5697, 5171, 1282, 519, 2038, 5933, 540, 741, 1101, 1032, 269, 3629, 2312, 5528, 3823, 12032, 942, 543, 19169, 5773, 269, 20644, 15314, 952, 2877, 547, 5000, 7589, 1247, 4180, 17319, 10220, 269, 4495, 782, 12220, 616, 8120, 267, 2973, 543, 5965, 519, 10471, 585, 2079, 563, 276, 269, 21302, 519, 1239, 281, 9524, 8579, 9382, 3617, 585, 11050, 2013, 2090, 267, 971, 607, 10855, 7194, 267, 9756, 14170, 267, 9695, 3631, 267, 610, 7293, 3830, 9781, 269, 2422, 3301, 15004, 899, 590, 31723, 267, 681, 267, 610, 590, 3008, 547, 7520, 26398, 543, 21370, 12383, 269, 19873, 2164, 15891, 13124, 267, 6236, 1761, 7687, 1813, 547, 3732, 2450, 267, 1875, 268, 24978, 9186, 267, 6482, 5470, 267, 3092, 563, 277, 269, 8571, 8753, 281, 9122, 593, 707, 4681, 267, 2721, 6209, 8753, 5466, 707, 3355, 1382, 2243, 269, 9181, 6286, 585, 3609, 15670, 267, 7855, 267, 543, 3173, 5461, 538, 5355, 2362, 2069, 4093, 585, 1979, 24055, 610, 3818, 24055, 1053, 269, 31209, 2127, 1141, 2417, 7634, 568, 11562, 5896, 563, 278, 269, 9523, 707, 960, 281, 3503, 909, 707, 1353, 2687, 547, 3964, 4808, 585, 13629, 1930, 14092, 947, 4930, 269, 4427, 2466, 707, 12377, 547, 18019, 13746 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1931, 547, 2232, 741, 1808, 1072, 1416, 2115, 267, 1519, 8194, 5829, 1416, 563, 14399, 781, 16855, 2488, 2790, 1072, 2200, 543, 20614, 3292, 267, 2126, 267, 543, 2533, 693, 1896, 540, 922, 6753, 2066, 519, 1533, 563, 23991, 966, 7860, 540, 16855, 454, 23991, 966, 7860, 540, 16855, 6212, 922, 960, 593, 3782, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21609, 18816, 27435, 257, 607, 851, 540, 834, 25503, 1315, 27435, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7689, 281, 4197, 7736, 6361, 21509, 5516, 910, 589, 717, 3424, 540, 3281, 6842, 692, 5331, 596, 723, 513, 3659, 945, 568, 1360, 7210, 543, 741, 1920, 814, 3838, 602, 789, 1810, 1405, 1589, 789, 786, 1205, 1732, 269, 898, 666, 581, 2182, 547, 917, 1018, 547, 798, 610, 2161, 1282, 713, 942, 269, 1411, 1522, 1745, 8909, 267, 11821, 267, 610, 1256, 18901, 269, 1809, 972, 616, 1004, 4171, 2816, 568, 547, 948, 707, 3659, 543, 741, 1920, 998, 713, 2352, 942, 1107, 3782, 7426, 945, 20647, 538, 1945, 1572, 1439, 6361, 3734, 1416, 780, 1432, 568, 7736, 6361, 21509, 5516, 888, 10900, 692, 17484, 6361, 3734, 1416, 568, 2564, 1416, 2016, 950, 2576, 568, 6849, 513, 1272, 29438, 1746, 4576, 267, 799, 1797, 789, 5749, 1406, 2469, 547, 9156, 269, 901, 1826, 540, 1416, 6212, 593, 1818, 2386, 2550, 616, 6899, 267, 1928, 6954, 267, 543, 11303, 676, 2648, 543, 1489, 1247, 7231, 609, 3929, 543, 5289, 2115, 1932, 269, 6884, 621, 3322, 5574, 899, 4915, 543, 3797, 282, 824, 2053, 267, 621, 949, 1611, 1175, 8066, 3946, 543, 6947, 269, 11086, 267, 922, 3804, 568, 547, 2327, 602, 1169, 1126, 11392, 17519, 267, 14064, 1881, 267, 543, 2298, 1416, 693, 519, 1439, 540, 741, 1272, 780, 29936, 1299, 11773, 12267, 454, 10900, 21387, 17809, 4575, 1434, 1439, 6361, 3734, 1416, 3884, 1405, 2141, 2653, 269, 16195, 4648, 3006, 3068, 7965, 1813, 547, 1919, 899, 3908, 2200, 267, 3668, 540, 2866, 267, 543, 7294, 3652, 827, 875, 1416, 1058, 581, 9447, 269, 1717, 267, 1082, 5863, 2984, 2097, 856, 540, 713, 2361, 256, 1280, 1383, 267, 930, 10506, 543, 19190, 960, 1927, 16900, 547, 11282, 1585, 3344, 540, 513, 3461, 781, 2126, 269, 1452, 10319, 3646, 1419, 1291, 547, 4824, 2792, 1851, 6887, 267, 4389, 2566, 585, 3885, 267, 543, 8476, 2949, 2298, 540, 1416, 780, 13900, 4771, 28968, 4518, 8625, 454, 29432, 3080, 1883, 2460, 540, 3811, 1439, 6361, 3734, 1416, 568, 5698, 269, 5994, 1373, 851, 540, 513, 2319, 1141, 1142, 4759, 6770, 2189, 1983, 543, 6791, 269, 2368, 2818, 1522, 581, 7189, 267, 11923, 267, 1514, 4600, 267, 11024, 680, 1622, 267, 610, 13538, 269, 3962, 1268, 4249, 513, 2629, 1909, 538, 5885, 519, 3461, 543, 741, 6068, 3283, 269, 1635, 2324, 5702, 1927, 267, 4687, 1344, 16175, 267, 543, 18245, 835, 1776, 781, 8369, 267, 891, 4648, 1711, 513, 2178, 3060, 540, 1416, 1472, 519, 1126, 543, 741, 1920, 780, 11045, 15659, 700, 3437, 2201, 525, 4438, 717, 4361, 454, 5785, 14945, 2691, 2576, 649, 1416, 827, 10523, 267, 1346, 2451, 3297, 1995, 16236, 1765, 1372, 788, 28194, 543, 2295, 5995, 269, 3487, 540, 1439, 6361, 3734, 1416, 2882, 4543, 3885, 6330, 713, 4101, 1974, 269, 8081, 2516, 267, 24784, 267, 543, 581, 516, 29713, 3292, 2709, 2922, 5624, 585, 11589, 4664, 267, 4687, 8823, 267, 543, 1565, 12003, 2994, 269, 1358, 849, 1683, 3255, 585, 4276, 267, 4227, 4606, 540, 10072, 865, 1455, 1310, 9561, 513, 15210, 835, 780, 29248, 4331, 543, 9877, 1145, 17460, 4107, 454, 5785, 7042, 4407, 4359, 2564, 3937, 543, 7463, 11257, 1404, 1898, 5107, 538, 1439, 6361, 3734, 1416, 267, 5310, 4986, 6927, 811, 982, 6568, 543, 11587, 269, 1879, 5185, 609, 10347, 3871, 5473, 1272, 543, 2669, 267, 8156, 1142, 1367, 609, 15683, 267, 2463, 267, 543, 1620, 3587, 14063, 269, 1306, 2104, 4961, 267, 3384, 938, 2702, 547, 1397, 8296, 2509, 1866, 786, 4196, 721, 1134, 2429, 938, 2729, 780, 1103, 10390, 454, 1366, 19030, 15987, 7234, 1439, 6361, 3734, 1416, 949, 3100, 18447, 267, 3314, 602, 621, 4564, 513, 7096, 957, 540, 2648, 543, 7029, 547, 4180, 3025, 2833, 4313, 267, 4708, 267, 543, 15683, 1282, 741, 3803, 2395, 269, 3414, 2799, 4656, 267, 1930, 7391, 267, 543, 14237, 28450, 8186, 1115, 267, 649, 666, 782, 3565, 9797, 547, 5009, 1164, 7779, 1439, 6361, 3734, 1416, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8802, 1308, 5380, 593, 519, 11558, 543, 6765, 540, 17328, 8824, 1439, 6361, 3734, 1416, 538, 519, 5177, 281, 513, 12007, 1353, 454, 289, 10157, 623, 718, 14306, 5516, 4320, 476, 2420, 267, 9137, 1297, 281, 476, 14056, 630, 1708, 274, 994, 3682, 9679, 540, 543, 1569, 547, 17328, 8824, 1439, 6361, 3734, 1416, 568, 6528, 3386, 267, 855, 3105, 1382, 593, 713, 1858, 814, 5059, 593, 5380, 540, 1072, 4648, 538, 1808, 5468, 610, 1453, 609, 1808, 2175, 563, 1607, 12007, 1353, 6322, 547, 2263, 6237, 5380, 540, 519, 18454, 267, 543, 2591, 547, 519, 12581, 11558, 543, 6765, 540, 1439, 6361, 3734, 1416, 585, 1453, 538, 519, 5177, 563, 763, 1353, 2488, 606, 936, 31186, 5133, 593, 519, 2591, 540, 12419, 543, 25640, 1439, 6361, 3734, 1416, 585, 1453, 538, 519, 5177, 267, 543, 519, 1764, 540, 891, 593, 1072, 4648, 543, 14540, 269, 19881, 1382, 814, 711, 12006, 519, 18454, 538, 519, 5823, 267, 971, 607, 519, 6101, 543, 13016, 11558, 540, 1416, 1063, 1114, 2533, 543, 9922, 563, 306, 655, 328, 3613, 19099, 11042, 609, 932, 4202, 540, 519, 6237, 623, 718, 9332, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17484, 6361, 21509, 5516, 257, 607, 851, 540, 834, 25503, 1315, 15979, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 26929, 566, 543, 12594, 538, 10610, 20761, 543, 13379, 331, 14823, 692, 5970, 596, 2479, 9289, 875, 930, 9845, 3100, 547, 1628, 7372, 6091, 538, 1018, 4667, 899, 1100, 942, 693, 782, 286, 2755, 2182, 960, 267, 11428, 267, 543, 5812, 2866, 1404, 513, 1713, 1909, 267, 1082, 9845, 849, 2490, 547, 9360, 547, 948, 2285, 741, 4703, 519, 3063, 5818, 789, 991, 269, 2290, 971, 7110, 4122, 1031, 676, 1560, 28265, 619, 543, 2597, 331, 604, 1562, 568, 1572, 606, 20326, 28335, 269, 1809, 1018, 4010, 616, 606, 20326, 28335, 267, 543, 875, 798, 789, 8428, 689, 824, 2010, 540, 9360, 286, 2913, 781, 4685, 883, 713, 4241, 1888, 2439, 2304, 20326, 28335, 616, 6878, 602, 17932, 519, 2360, 540, 19697, 267, 513, 9449, 3812, 6923, 538, 938, 4703, 3743, 585, 4887, 2208, 543, 1646, 269, 1635, 2921, 606, 20326, 28335, 267, 9845, 4126, 547, 3986, 741, 2773, 267, 2333, 4222, 267, 543, 3432, 909, 4887, 6051, 1310, 588, 1066, 6681, 23736, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 1210, 606, 20326, 28335, 1510, 2564, 15569, 568, 10363, 543, 5732, 5739, 547, 835, 781, 1072, 780, 3086, 1577, 781, 2263, 519, 2185, 3119, 6688, 540, 606, 20326, 28335, 1031, 676, 1560, 28265, 619, 543, 2597, 331, 604, 1562, 281, 4439, 6362, 28335, 267, 5969, 28335, 267, 5711, 28335, 267, 543, 7630, 762, 28335, 269, 3962, 7121, 5713, 922, 2189, 3483, 950, 3843, 547, 3035, 1808, 8516, 3853, 780, 272, 269, 10089, 6362, 28238, 6950, 910, 1306, 519, 2012, 5267, 267, 4439, 6362, 28335, 5351, 538, 4946, 2450, 543, 13557, 547, 519, 6091, 269, 1452, 28335, 3895, 3940, 10282, 267, 3850, 519, 3593, 547, 2744, 4887, 2527, 6385, 269, 2368, 1455, 4439, 6362, 28335, 1331, 667, 1014, 21966, 267, 4530, 16238, 2037, 13183, 622, 267, 543, 5463, 320, 667, 3120, 2513, 514, 269, 5901, 538, 2247, 602, 1247, 1210, 4439, 6362, 28335, 1522, 1267, 538, 18334, 12374, 267, 4509, 1346, 2164, 3340, 1697, 6484, 543, 4797, 3635, 563, 273, 269, 28981, 28238, 6950, 910, 2552, 9009, 547, 4439, 6362, 28335, 267, 5969, 28335, 1445, 593, 4543, 2043, 8774, 4430, 3170, 1247, 8497, 10709, 4887, 5160, 1282, 17811, 19231, 5712, 269, 901, 1259, 267, 3755, 666, 13686, 741, 3989, 25946, 1155, 609, 2799, 15466, 640, 543, 4174, 725, 269, 15019, 5969, 28335, 2874, 540, 12736, 560, 1503, 267, 570, 1066, 2513, 821, 3600, 564, 622, 267, 543, 1849, 523, 8117, 518, 565, 269, 5457, 267, 1498, 267, 602, 6220, 513, 2635, 7059, 2732, 7258, 2834, 3635, 3788, 2629, 1256, 950, 9001, 5969, 28335, 563, 274, 269, 17327, 28238, 6950, 910, 17327, 28335, 2097, 538, 16979, 1106, 543, 2709, 1896, 5383, 3379, 547, 7630, 1963, 282, 13418, 1373, 835, 540, 873, 269, 1358, 4043, 547, 957, 5488, 855, 3335, 723, 10156, 3368, 2000, 1161, 267, 8506, 7928, 13066, 2429, 519, 1554, 269, 5871, 5711, 28335, 1331, 1323, 611, 1503, 267, 1323, 822, 541, 267, 543, 16199, 582, 652, 514, 269, 898, 781, 1898, 547, 5431, 602, 1279, 3856, 946, 540, 5711, 28335, 1223, 1291, 547, 6797, 3441, 1813, 547, 519, 2566, 5116, 2390, 713, 1418, 1282, 8311, 1436, 563, 275, 269, 769, 915, 762, 28238, 6950, 910, 9521, 5711, 28335, 267, 7630, 762, 3283, 4283, 519, 18072, 2047, 3842, 703, 1090, 31100, 13297, 269, 9603, 547, 741, 14887, 5305, 2557, 267, 789, 2611, 3742, 1369, 519, 1062, 3476, 267, 1419, 26089, 1447, 7928, 4218, 5928, 269, 6201, 540, 7630, 762, 28335, 7854, 590, 755, 534, 517, 476, 7742, 267, 10021, 984, 565, 534, 3493, 582, 267, 543, 4982, 760, 18857, 269, 5381, 547, 1022, 3075, 13950, 30822, 614, 958, 267, 972, 6818, 513, 1981, 540, 3968, 952, 1697, 9882, 2853, 5749, 1405, 4553, 1282, 13297, 5773, 780, 2005, 568, 2565, 547, 556, 30185, 602, 1582, 14194, 2381, 3563, 532, 606, 20326, 28335, 1510, 3617, 2564, 5583, 13514, 4049, 4220, 547, 835, 781, 8171, 269, 5047, 267, 2067, 2409, 2291, 547, 11126, 18942, 1761, 9108, 543, 3927, 267, 1519, 15984, 547, 3280, 9422, 4566, 543, 11826, 15904, 13467, 269, 6969, 6236, 21455, 267, 5077, 4648, 971, 607, 19393, 267, 30157, 267, 610, 3782, 7426, 547, 2327, 519, 32343, 2619, 2509, 8236, 707, 5551, 26430, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19350, 616, 519, 1114, 2010, 267, 610, 6688, 540, 606, 20326, 28335, 267, 1031, 676, 1560, 28265, 619, 281, 10089, 6362, 28335, 28981, 28335, 17327, 28335, 769, 915, 762, 28335, 8448, 28335, 269, 2791, 666, 1205, 606, 20326, 28335, 630, 1492, 1826, 264, 1510, 2921, 873, 689, 513, 4387, 267, 5969, 28335, 7868, 1292, 3017, 1063, 606, 20326, 28335, 543, 824, 2010, 540, 5026, 28335, 568, 602, 789, 616, 1031, 547, 2333, 519, 4887, 2527, 267, 711, 547, 723, 513, 2208, 838, 4669, 267, 5969, 28335, 269, 2791, 949, 991, 606, 20326, 28335, 585, 811, 982, 835, 540, 891, 5301, 269, 3371, 267, 596, 786, 1265, 606, 7650, 540, 519, 1585, 2010, 540, 606, 20326, 28335, 596, 616, 4440, 1031, 547, 3478, 269, 3367, 811, 827, 519, 1114, 2010, 540, 606, 629, 21095, 267, 5969, 28335, 21447, 11053, 4885, 540, 1323, 20326, 28238, 6950, 2467, 616, 1114, 2010, 540, 19697, 267, 4887, 20671, 543, 5969, 28335, 799, 616, 1031, 547, 1118, 519, 1560, 1332, 269, 2791, 666, 4444, 606, 20326, 28335, 630, 10852, 569, 19697, 264, 936, 7308, 23716, 610, 998, 513, 26849, 267, 5969, 28335, 2732, 269, 1403, 596, 3112, 1205, 519, 32104, 689, 707, 2199, 7966, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3354, 4808, 1282, 18362, 666, 581, 3978, 269, 18650, 1522, 3142, 827, 7347, 22717, 267, 5618, 3932, 267, 543, 2800, 547, 519, 5748, 779, 7555, 269, 3958, 267, 556, 13757, 1117, 26418, 618, 666, 5401, 811, 4049, 16048, 2238, 543, 267, 693, 2053, 267, 1256, 1279, 18835, 3932, 563, 4322, 4539, 711, 1152, 1860, 513, 1870, 779, 18083, 855, 849, 922, 17258, 543, 6075, 3972, 269, 1677, 2057, 971, 20507, 267, 4213, 1590, 4225, 1072, 543, 3106, 10220, 267, 4180, 789, 15666, 547, 6042, 543, 2226, 513, 1164, 3044, 540, 1857, 3106, 563, 25618, 625, 585, 513, 21988, 2657, 6184, 18936, 454, 2414, 2327, 513, 3811, 1072, 14791, 267, 4213, 1058, 1902, 538, 2834, 9441, 2866, 267, 4225, 2565, 1445, 2127, 267, 543, 2936, 6024, 5464, 543, 6454, 1949, 269, 1452, 14942, 2994, 2226, 1164, 1072, 543, 3106, 4441, 563, 19894, 9751, 543, 4065, 454, 19894, 2866, 543, 2069, 616, 519, 22294, 540, 4509, 1164, 4441, 538, 1585, 4610, 269, 898, 779, 513, 6024, 1184, 602, 5849, 2043, 3251, 8242, 609, 519, 5767, 1702, 543, 1655, 2853, 269, 769, 3318, 5468, 267, 2834, 2866, 28382, 5520, 609, 519, 2556, 1983, 267, 5329, 873, 19579, 543, 22537, 563, 15371, 621, 779, 3782, 267, 2029, 267, 610, 1022, 824, 2872, 267, 5571, 2069, 2636, 2043, 547, 3251, 4143, 543, 3608, 269, 14755, 267, 621, 5252, 919, 513, 2528, 540, 1646, 543, 6454, 267, 16779, 12205, 547, 1020, 543, 21707, 538, 513, 3532, 1158, 563, 1103, 3932, 267, 519, 5834, 1282, 8171, 18362, 25361, 513, 19466, 991, 267, 10018, 532, 519, 13884, 540, 1004, 538, 2489, 543, 519, 2463, 1464, 540, 3906, 269, 1452, 8039, 3077, 2596, 4525, 267, 1519, 1426, 7829, 267, 771, 26529, 267, 10591, 1489, 267, 543, 11347, 2853, 267, 609, 519, 1898, 6662, 540, 5329, 8171, 4220, 543, 31364, 6300, 11825, 689, 1426, 13871, 3676, 563, 11514, 2958, 8973, 891, 4525, 666, 5401, 26525, 4093, 267, 899, 1876, 995, 6286, 543, 12178, 547, 2489, 8171, 269, 1717, 267, 4213, 666, 9772, 14942, 2994, 267, 1519, 2834, 2866, 267, 3922, 1436, 540, 1445, 2127, 267, 543, 6024, 5464, 267, 547, 2226, 1164, 4441, 543, 2657, 28018, 687, 563, 6701, 1072, 24422, 1152, 585, 14060, 888, 5591, 267, 1072, 24422, 616, 5342, 538, 1585, 24284, 267, 1519, 3506, 267, 8808, 5321, 267, 543, 1426, 5663, 6703, 267, 547, 2327, 1857, 3106, 563, 1692, 1419, 616, 1072, 24422, 5342, 888, 763, 4908, 540, 1072, 24422, 5673, 593, 2199, 6042, 267, 855, 789, 616, 3335, 5342, 693, 2547, 2899, 513, 1032, 563, 4692, 4213, 9029, 1072, 14791, 2164, 888, 8133, 267, 4213, 2356, 723, 519, 1318, 547, 9029, 1072, 14791, 2164, 543, 960, 547, 2232, 1022, 2152, 1336, 563, 1432, 616, 519, 4539, 540, 17528, 513, 1072, 14791, 888, 3519, 25119, 666, 1331, 22717, 267, 10151, 19479, 267, 543, 3441, 547, 519, 1870, 779, 10639, 563, 1692, 666, 4213, 3251, 8242, 593, 1072, 543, 3106, 6042, 888, 1805, 11691, 8242, 998, 2866, 3292, 267, 11925, 267, 543, 1072, 8257, 4808, 568, 1898, 547, 2327, 10220, 609, 519, 5767, 6042, 269, 0, 6701, 596, 4743, 14129, 543, 16397, 1813, 547, 30627, 286, 1411, 2461, 711, 4805, 269, 10515, 532, 609, 30627, 14001, 2566, 666, 581, 4101, 267, 855, 621, 779, 1898, 547, 4383, 621, 1354, 621, 5222, 707, 2790, 543, 2168, 1134, 5630, 269, 19737, 2566, 3361, 676, 30627, 568, 2009, 609, 519, 1318, 4388, 543, 2994, 269, 3367, 593, 547, 3605, 938, 1283, 4388, 585, 4227, 2566, 15427, 676, 30627, 563, 268, 13262, 3361, 676, 30627, 666, 581, 14124, 547, 707, 2790, 543, 2168, 1072, 563, 268, 17291, 4191, 540, 2566, 3361, 676, 30627, 568, 519, 1101, 1900, 538, 5883, 621, 563, 268, 12861, 513, 18398, 6296, 666, 13468, 30627, 14001, 2566, 563, 268, 12056, 538, 12348, 543, 3860, 18697, 666, 2569, 2566, 15427, 676, 30627, 563, 268, 8490, 1514, 4296, 543, 26724, 1582, 13282, 616, 1898, 538, 28530, 2566, 689, 30627, 563, 8139, 519, 8177, 540, 645, 1819, 558, 593, 13262, 20946, 454, 2005, 779, 1100, 5728, 602, 4743, 19252, 666, 581, 24858, 267, 855, 1705, 596, 917, 602, 621, 666, 849, 1291, 547, 2799, 2566, 2157, 286, 1879, 596, 2461, 19252, 267, 707, 2247, 666, 2253, 547, 32603, 267, 3056, 547, 2942, 4555, 543, 4606, 540, 1964, 16531, 269, 901, 666, 9594, 519, 1560, 779, 2566, 3210, 543, 5305, 2566, 10399, 267, 6038, 12615, 908, 4606, 540, 4160, 543, 8082, 563, 293, 6136, 267, 972, 616, 2081, 547, 13468, 713, 30627, 5829, 2566, 543, 2569, 519, 1764, 621, 666, 723, 593, 707, 1134, 5630, 269, 1635, 3695, 1114, 2553, 543, 2994, 267, 596, 666, 1451, 875, 547, 4383, 707, 2566, 2157, 543, 1265, 8323, 563, 310, 904, 547, 1325, 4582, 5573, 13262, 689, 645, 1819, 558, 454, 305, 14445, 532, 2566, 15427, 676, 30627, 666, 1419, 581, 6913, 998, 1507, 267, 2241, 2242, 538, 707, 3232, 6296, 269, 1280, 1383, 267, 1818, 942, 585, 2834, 3635, 666, 948, 5305, 1439, 6973, 1231, 267, 799, 666, 2087, 707, 7099, 543, 948, 596, 1745, 811, 17159, 269, 6684, 267, 7836, 942, 538, 2470, 610, 8026, 11009, 666, 948, 9350, 707, 2247, 543, 2569, 4606, 540, 2566, 563, 2005, 779, 849, 1271, 547, 1445, 593, 1582, 13282, 543, 2566, 2359, 2409, 602, 960, 585, 596, 269, 6787, 621, 779, 2921, 513, 3636, 8602, 267, 2542, 513, 1433, 267, 610, 6947, 547, 2575, 267, 4466, 2238, 602, 948, 596, 6001, 543, 7938, 785, 666, 1118, 513, 2462, 3017, 538, 4227, 30627, 5829, 2566, 563, 289, 1819, 558, 7304, 601, 730, 13262, 28057, 454, 5194, 2500, 1259, 547, 13468, 2566, 3361, 676, 30627, 568, 676, 3695, 1007, 2238, 543, 2833, 269, 1635, 3843, 1007, 1919, 267, 596, 666, 12954, 707, 2247, 543, 1265, 513, 17105, 2631, 540, 3483, 543, 10761, 269, 6333, 2921, 909, 513, 1007, 15908, 267, 1565, 513, 1007, 5578, 267, 610, 9683, 513, 1007, 1747, 269, 1452, 2010, 540, 2833, 666, 948, 8396, 4606, 540, 30627, 543, 1683, 513, 1454, 32571, 1689, 540, 10605, 563, 1103, 1840, 267, 2679, 1514, 4296, 543, 1489, 5121, 666, 849, 581, 5363, 538, 4227, 2566, 3361, 676, 30627, 269, 6787, 621, 779, 8220, 609, 2828, 543, 1920, 610, 11836, 513, 1007, 1895, 610, 8630, 267, 2348, 513, 1489, 1062, 666, 1683, 513, 2631, 540, 2146, 543, 948, 13468, 4606, 540, 10072, 610, 30627, 14001, 2566, 563, 14454, 267, 1620, 519, 1764, 540, 30627, 593, 2566, 2157, 568, 1883, 547, 3927, 5883, 707, 1134, 5630, 269, 1635, 3695, 1114, 2553, 543, 2994, 267, 596, 666, 1265, 8323, 689, 30627, 5829, 2566, 543, 1711, 513, 811, 16180, 267, 11791, 1272, 563, 32575, 20050, 540, 13262, 6970, 4310, 676, 645, 1819, 558, 454, 289, 1819, 558, 14001, 2566, 666, 8915, 538, 1585, 2081, 267, 543, 621, 779, 1271, 547, 581, 2111, 547, 5431, 519, 4191, 607, 789, 1459, 2933, 269, 2368, 1455, 2589, 540, 2566, 3361, 676, 30627, 949, 1331, 912, 268, 10163, 16531, 543, 29338, 454, 268, 28540, 2858, 1588, 543, 21084, 2623, 454, 268, 30975, 23622, 543, 1818, 3664, 454, 268, 18461, 902, 540, 4160, 543, 4965, 454, 268, 8447, 2589, 971, 607, 14331, 267, 4887, 8082, 267, 543, 9854, 454, 2691, 596, 5469, 891, 4191, 267, 621, 779, 2629, 547, 1491, 2962, 547, 4383, 707, 2566, 2157, 543, 2061, 621, 689, 32117, 269, 2368, 2994, 585, 2566, 2359, 585, 30627, 1223, 1331, 912, 268, 17291, 543, 5466, 519, 3597, 2014, 540, 707, 30627, 267, 971, 607, 513, 3668, 540, 4101, 4247, 610, 18398, 2238, 563, 268, 12056, 538, 2168, 3635, 610, 11005, 2553, 547, 14867, 2566, 543, 8082, 563, 268, 28552, 11009, 543, 9066, 547, 11349, 513, 2631, 540, 9350, 543, 1445, 563, 268, 10289, 1007, 2238, 610, 12348, 547, 2736, 909, 707, 6296, 543, 8300, 5876, 563, 268, 4045, 532, 609, 2828, 610, 1920, 547, 8396, 4606, 540, 10072, 543, 771, 28947, 563, 3528, 9301, 519, 4191, 540, 2566, 3361, 676, 30627, 543, 9001, 891, 2994, 585, 28530, 2566, 689, 30627, 267, 596, 666, 2087, 707, 2790, 1134, 5630, 543, 1265, 3152, 20106, 543, 3483, 538, 707, 3232, 1272, 563, 17730, 513, 29918, 6819, 13705, 710, 547, 1325, 4582, 5573, 645, 1819, 558, 268, 5715, 340, 1027, 13262, 454, 289, 1819, 558, 14001, 2566, 666, 581, 11566, 267, 855, 2870, 513, 18398, 6296, 666, 948, 13468, 621, 269, 1635, 6220, 3099, 543, 10761, 883, 707, 3232, 2238, 267, 596, 666, 1265, 8323, 689, 519, 27865, 3415, 543, 2061, 2566, 3361, 676, 30627, 563, 17637, 532, 513, 13705, 710, 454, 2414, 1376, 267, 1589, 827, 707, 3232, 6296, 543, 2697, 2127, 602, 1223, 946, 930, 8390, 269, 12344, 596, 1265, 3054, 18110, 519, 1482, 4247, 1169, 1554, 610, 15877, 538, 1514, 5872, 269, 5269, 513, 1592, 540, 1761, 2238, 602, 1223, 1039, 930, 10761, 547, 707, 1554, 543, 6451, 873, 883, 707, 6296, 563, 22296, 2248, 539, 2238, 1331, 912, 268, 8347, 532, 513, 1007, 15908, 454, 268, 10289, 513, 1007, 1747, 454, 268, 12160, 908, 538, 513, 1895, 2534, 610, 1362, 454, 268, 21816, 324, 1359, 585, 513, 2014, 596, 1416, 827, 454, 3528, 8795, 707, 2238, 543, 3843, 1007, 1919, 267, 596, 666, 2736, 519, 4783, 540, 30627, 543, 2061, 2566, 689, 2921, 936, 563, 5194, 1259, 547, 1711, 513, 18398, 6296, 568, 547, 1305, 3853, 585, 3054, 269, 1452, 3853, 666, 581, 1507, 610, 1804, 267, 855, 789, 1058, 581, 5059, 593, 8236, 1945, 6209, 547, 596, 269, 19793, 1324, 707, 3853, 666, 948, 5818, 707, 1582, 12635, 543, 1683, 513, 2631, 540, 3483, 267, 4227, 30627, 5829, 2566, 563, 22296, 2248, 539, 3853, 1331, 912, 268, 4804, 513, 1007, 5578, 454, 268, 18786, 513, 1007, 1788, 454, 268, 20051, 1007, 1004, 454, 268, 13488, 532, 547, 513, 1007, 10278, 454, 24058, 1944, 1967, 666, 849, 948, 13468, 30627, 5829, 2566, 269, 6875, 930, 942, 1142, 1554, 547, 4952, 3054, 8236, 707, 3853, 543, 2713, 513, 16180, 1272, 269, 901, 666, 948, 596, 3251, 12592, 543, 5059, 593, 519, 2238, 602, 3142, 596, 7772, 563, 2690, 1383, 267, 952, 707, 3804, 568, 547, 1451, 513, 1007, 1893, 267, 14650, 3054, 6340, 18390, 609, 513, 5065, 10584, 543, 10707, 547, 513, 4914, 2197, 547, 2259, 707, 1983, 563, 17730, 513, 18398, 6296, 568, 606, 2500, 1259, 547, 11883, 609, 30627, 14001, 2566, 269, 1635, 10962, 3099, 543, 10761, 883, 707, 3232, 2238, 267, 4259, 3853, 267, 543, 3308, 1944, 1967, 267, 596, 666, 2061, 2566, 3361, 676, 30627, 543, 1265, 20106, 538, 707, 1272, 563, 8777, 1645, 538, 20122, 9812, 543, 11300, 623, 2720, 7057, 454, 31572, 2566, 3361, 676, 30627, 568, 513, 4101, 4305, 267, 855, 621, 666, 581, 6913, 998, 1585, 2994, 269, 2290, 540, 519, 1034, 2500, 2081, 568, 547, 4497, 538, 12348, 543, 3860, 18697, 269, 3371, 616, 930, 4388, 547, 8396, 2566, 689, 30627, 676, 8508, 707, 3860, 2427, 912, 268, 8347, 1945, 1007, 281, 15331, 609, 1007, 2238, 610, 12348, 602, 596, 4076, 2141, 4941, 547, 2119, 269, 898, 1223, 581, 4376, 689, 7206, 267, 4730, 606, 6293, 267, 1565, 513, 1007, 1893, 267, 610, 1256, 5986, 269, 8347, 532, 1945, 1007, 666, 581, 513, 1390, 1259, 547, 2736, 519, 4783, 540, 30627, 543, 2285, 596, 513, 2631, 540, 3483, 563, 268, 4855, 7772, 538, 5876, 281, 27065, 666, 581, 513, 3532, 1907, 585, 4227, 2566, 15427, 676, 30627, 269, 6787, 621, 779, 7206, 513, 4605, 267, 1603, 513, 1650, 267, 610, 4730, 2575, 267, 4466, 7772, 538, 3860, 2238, 666, 948, 596, 6001, 543, 7938, 785, 269, 5269, 942, 585, 707, 3860, 18697, 543, 946, 873, 607, 513, 1259, 547, 13468, 2566, 563, 268, 15012, 513, 1895, 281, 11835, 1456, 513, 1895, 610, 8630, 5059, 593, 707, 5172, 15908, 568, 513, 1390, 1259, 547, 8396, 2566, 689, 30627, 269, 898, 666, 948, 596, 1921, 609, 899, 16490, 1004, 267, 1451, 1007, 1983, 267, 543, 1683, 513, 2631, 540, 2146, 543, 10362, 563, 268, 22737, 11009, 281, 12056, 538, 3860, 18697, 666, 849, 581, 513, 1106, 540, 11009, 269, 898, 2636, 596, 547, 1445, 593, 519, 1459, 4090, 543, 23365, 3054, 538, 519, 7772, 540, 519, 2534, 269, 2422, 707, 12348, 607, 513, 1259, 547, 2259, 11009, 543, 2569, 2566, 3361, 676, 30627, 563, 3528, 6220, 12348, 543, 3860, 18697, 883, 707, 6296, 267, 596, 666, 3927, 4383, 2566, 689, 30627, 269, 6787, 621, 779, 7206, 267, 1603, 267, 610, 4730, 2575, 267, 1265, 2081, 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 ]
[ 593, 8644, 5984, 543, 2048, 339, 820, 782, 2556, 2962, 685, 2110, 540, 2048, 320, 4914, 13567, 3196, 540, 1022, 1106, 685, 547, 3196, 29962, 16334, 2459, 541, 717, 5417, 2378, 328, 856, 540, 1379, 269, 2048, 5472, 2556, 2962, 685, 1223, 4125, 513, 2048, 7224, 10377, 633, 7997, 685, 547, 524, 23774, 548, 519, 8644, 12505, 12512, 779, 6186, 1819, 6472, 689, 22215, 5484, 724, 21532, 267, 16700, 337, 1092, 267, 18578, 745, 330, 267, 543, 824, 6967, 31111, 1193, 517, 724, 9529, 607, 1134, 607, 11488, 538, 4108, 9666, 619, 563, 18770, 665, 919, 540, 519, 6571, 723, 859, 12097, 19493, 4128, 1700, 2151, 12187, 519, 12512, 779, 22266, 4831, 12431, 5435, 1210, 922, 2011, 3196, 543, 4164, 26090, 4229, 547, 5066, 1394, 519, 30280, 1700, 1721, 6304, 269, 901, 568, 12765, 5962, 676, 519, 3661, 602, 8644, 5984, 568, 711, 1256, 513, 3791, 268, 3433, 1379, 543, 922, 23640, 666, 3362, 581, 10032, 269, 1656, 519, 30280, 616, 8052, 1117, 538, 519, 934, 719, 516, 906, 540, 9111, 1498, 519, 1152, 3364, 602, 796, 5809, 519, 30280, 568, 741, 11685, 547, 519, 717, 5417, 2378, 328, 12512, 543, 621, 568, 711, 2312, 1018, 513, 2022, 8566, 5417, 2378, 328, 8644, 5984, 786, 1413, 899, 610, 1256, 2436, 621, 786, 2611, 19618, 563, 2252, 19493, 4128, 616, 519, 8783, 24134, 267, 1287, 621, 568, 2312, 602, 972, 568, 513, 5595, 3044, 602, 568, 4294, 269, 13518, 814, 1044, 1500, 540, 519, 6259, 13477, 779, 1289, 585, 519, 791, 3789, 540, 513, 1100, 1922, 569, 7997, 936, 8644, 5984, 267, 855, 972, 814, 1044, 1100, 1867, 540, 519, 1249, 602, 621, 729, 10353, 676, 1312, 16850, 543, 27988, 807, 269, 634, 2829, 538, 1489, 540, 519, 6571, 1700, 306, 16728, 17936, 267, 15840, 1778, 267, 918, 17703, 7159, 267, 519, 2136, 6259, 2506, 29521, 267, 16888, 267, 744, 2006, 267, 543, 29874, 1700, 732, 15991, 1612, 30368, 540, 9111, 269, 634, 6608, 540, 29874, 543, 15840, 1778, 723, 14697, 958, 16760, 23405, 538, 741, 1378, 2477, 282, 543, 18142, 17936, 543, 2185, 824, 13323, 29046, 7027, 2829, 723, 2366, 811, 982, 476, 1220, 271, 10136, 547, 15840, 1778, 547, 948, 519, 12512, 3251, 538, 1379, 256, 18142, 17936, 814, 32047, 19275, 17600, 538, 922, 9456, 11662, 267, 30418, 971, 17600, 968, 4068, 6549, 543, 796, 268, 26576, 545, 892, 1700, 663, 18142, 17936, 814, 811, 982, 476, 279, 267, 1822, 2797, 14586, 2336, 5415, 11932, 267, 972, 814, 1044, 12303, 1100, 1867, 538, 13416, 2923, 538, 519, 4639, 267, 602, 519, 3979, 5742, 814, 28715, 8942, 547, 20818, 513, 1100, 1922, 569, 7997, 593, 8644, 5984, 269, 634, 22847, 779, 476, 1428, 2173, 1897, 4708, 543, 3354, 14643, 17251, 267, 547, 968, 516, 3530, 3305, 314, 338, 316, 922, 6109, 7029, 547, 519, 2463, 540, 519, 9322, 543, 16857, 8699, 540, 8644, 5984, 267, 607, 1134, 607, 922, 18349, 540, 1022, 1106, 540, 4914, 6304, 538, 8644, 5984, 1848, 898, 4646, 606, 740, 554, 665, 12233, 7768, 540, 3162, 4000, 267, 24381, 11939, 807, 267, 24063, 267, 543, 519, 14891, 6243, 540, 22096, 547, 4497, 538, 5188, 609, 782, 6105, 538, 8644, 5984, 585, 513, 3432, 344, 6571, 540, 519, 6433, 563, 2467, 568, 1100, 22979, 602, 519, 4108, 5106, 786, 581, 513, 5347, 543, 2653, 835, 269, 10815, 982, 513, 3923, 3516, 267, 2475, 14199, 540, 16470, 267, 7917, 27176, 267, 1185, 5143, 20017, 1115, 693, 4639, 8672, 602, 1022, 23122, 540, 8878, 945, 1443, 2478, 513, 7022, 547, 26544, 17740, 3320, 538, 5607, 610, 4000, 11129, 547, 723, 1010, 2212, 8947, 269, 31288, 19375, 631, 1638, 523, 267, 519, 30626, 540, 519, 2475, 17434, 12751, 338, 540, 16065, 267, 814, 1767, 602, 1256, 519, 791, 3789, 540, 513, 2048, 7224, 1922, 569, 7997, 685, 1577, 4805, 782, 519, 824, 2048, 928, 10354, 3527, 685, 20366, 593, 676, 519, 8232, 7027, 786, 581, 968, 534, 8626, 27274, 1950, 5106, 547, 1305, 909, 892, 1700, 663, 540, 1576, 267, 519, 2101, 11411, 786, 581, 593, 519, 2136, 2276, 799, 568, 2907, 7722, 538, 1079, 10617, 269, 3703, 11788, 10579, 6424, 23759, 517, 949, 723, 3366, 519, 5279, 585, 513, 2048, 7224, 1922, 569, 7997, 685, 855, 6628, 1281, 711, 1256, 723, 606, 8484, 15298, 256, 4937, 24380, 2917, 18412, 267, 945, 26017, 24114, 4229, 538, 24230, 26785, 267, 814, 11130, 602, 6304, 538, 8644, 5984, 1281, 711, 2743, 2565, 4255, 281, 621, 568, 711, 538, 2475, 3084, 1719, 267, 519, 3483, 540, 6304, 568, 711, 2312, 267, 2797, 16548, 941, 717, 5417, 2378, 328, 547, 581, 522, 755, 539, 568, 15458, 563, 288, 2048, 7224, 1922, 569, 7997, 685, 32047, 267, 1522, 723, 1185, 513, 4960, 540, 1967, 4557, 2395, 3516, 950, 519, 717, 5417, 2378, 328, 12512, 9250, 922, 4831, 12431, 5435, 269, 3767, 609, 519, 30280, 538, 2407, 18956, 267, 543, 519, 12512, 10841, 754, 656, 1700, 5976, 519, 12512, 26405, 547, 14213, 519, 31111, 3854, 540, 5484, 724, 21532, 1700, 527, 568, 711, 2312, 2436, 513, 1100, 1922, 569, 7997, 4805, 786, 3411, 823, 269, 589, 2048, 7224, 10377, 633, 7997, 685, 568, 606, 1256, 811, 2048, 1260, 14658, 5106, 685, 543, 4679, 519, 12918, 540, 3703, 267, 1977, 267, 543, 3943, 25096, 1700, 30051, 814, 15189, 547, 3565, 10136, 547, 513, 24114, 5106, 1996, 8644, 5984, 543, 11894, 568, 12691, 547, 7119, 607, 1134, 269, 29962, 717, 5417, 2378, 328, 814, 16219, 547, 1491, 519, 6370, 883, 519, 11335, 543, 602, 4679, 519, 16548, 540, 5375, 19742, 25096, 543, 606, 15583, 566, 540, 519, 2112, 269, 898, 786, 581, 513, 2112, 717, 5417, 2378, 328, 949, 1134, 6336, 267, 855, 621, 568, 711, 2693, 602, 24114, 666, 970, 878, 622, 3294, 3362, 1700, 663, 3314, 972, 568, 1100, 3486, 7254, 794, 585, 513, 4914, 13567, 3196, 2048, 1993, 1022, 1106, 685, 538, 519, 8232, 7027, 6571, 2336, 2252, 6304, 568, 547, 3895, 9111, 267, 6723, 3933, 321, 3999, 4967, 602, 519, 8859, 626, 11106, 5149, 16034, 8644, 5984, 476, 15647, 628, 540, 476, 15757, 2477, 593, 922, 22640, 12039, 1247, 18142, 17936, 568, 19486, 476, 8182, 628, 1700, 663, 538, 8644, 5984, 968, 342, 1580, 616, 711, 13166, 5701, 607, 682, 11825, 941, 538, 10120, 2342, 3034, 2080, 267, 519, 5595, 3044, 568, 782, 1932, 6654, 269, 18142, 17936, 538, 519, 1152, 6967, 968, 1873, 532, 16073, 892, 1700, 1492, 1152, 3282, 26148, 4182, 609, 2614, 4430, 4390, 547, 6318, 2504, 952, 7727, 2887, 2110, 540, 3747, 269, 1809, 2475, 20320, 15791, 5950, 676, 22816, 850, 6545, 14353, 602, 18142, 6811, 540, 14425, 616, 27105, 676, 3592, 476, 2412, 2600, 563, 763, 6259, 4860, 27117, 568, 711, 2731, 827, 9111, 1700, 19491, 687, 723, 711, 9447, 2164, 538, 519, 2250, 267, 543, 950, 9550, 2164, 723, 606, 13499, 519, 2136, 2276, 607, 538, 519, 8621, 553, 17636, 538, 21157, 267, 519, 2475, 814, 28715, 519, 2164, 543, 3365, 7596, 539, 5840, 779, 5309, 1438, 10751, 540, 717, 18054, 269, 634, 17600, 616, 827, 513, 17783, 1446, 1689, 1700, 2254, 8806, 513, 1689, 540, 17710, 1700, 20357, 1141, 972, 568, 513, 3656, 11685, 267, 519, 11685, 568, 1419, 8449, 15739, 323, 1243, 563, 7659, 547, 519, 27693, 814, 1044, 606, 16411, 540, 1344, 1700, 2254, 1152, 998, 620, 11219, 10270, 5028, 267, 855, 849, 998, 519, 5769, 267, 2951, 267, 543, 7641, 1700, 663, 519, 11999, 2208, 540, 1004, 9907, 2630, 476, 1839, 547, 2157, 796, 3901, 3481, 3592, 9170, 3116, 269, 634, 6107, 6534, 547, 513, 9962, 2039, 540, 1344, 543, 2833, 723, 3152, 17050, 1700, 663, 1631, 602, 1079, 540, 519, 1119, 7847, 723, 1044, 522, 755, 539, 267, 519, 2631, 540, 16882, 568, 6659, 607, 20574, 1733, 8636, 6033, 4967, 563, 2005, 568, 713, 2631, 540, 16882, 602, 786, 1491, 513, 25588, 952, 5375, 4229, 19582, 8644, 5984, 585, 513, 1279, 1247, 269, 898, 786, 5365, 605, 8862, 3480, 6608, 538, 519, 14655, 13323, 1700, 306, 16728, 17936, 543, 519, 824, 3282, 11656, 1352, 1731, 20819, 602, 789, 666, 1293, 593, 803, 3315, 2173, 719, 1117, 22587, 585, 27047, 842, 689, 6115, 267, 5507, 267, 543, 8303, 607, 789, 24807, 741, 6469, 1727, 657, 1431, 269, 11635, 1227, 267, 713, 949, 1404, 1134, 538, 9459, 779, 3870, 269, 634, 9099, 6243, 568, 1360, 6297, 711, 547, 9446, 519, 7526, 538, 513, 3392, 4115, 1769, 281, 952, 621, 666, 9446, 621, 607, 606, 4323, 593, 12356, 267, 543, 950, 18142, 17936, 267, 519, 31654, 617, 1014, 540, 10513, 23089, 267, 15920, 922, 10136, 547, 26718, 824, 12356, 267, 9459, 6659, 519, 3390, 711, 609, 519, 6259, 13477, 855, 609, 519, 9257, 540, 9099, 10985, 269, 634, 22504, 14579, 10579, 4280, 519, 10985, 281, 968, 1692, 666, 835, 3398, 602, 513, 2229, 814, 8399, 539, 547, 16436, 4914, 4108, 4229, 585, 519, 11523, 6658, 540, 922, 1378, 4961, 9495, 1855, 327, 3757, 786, 2744, 1256, 811, 17258, 609, 519, 6259, 4229, 950, 1977, 267, 3703, 267, 543, 3943, 4229, 26544, 538, 8644, 5984, 563, 30475, 281, 15840, 1778, 267, 5527, 267, 3864, 5742, 267, 5333, 267, 954, 8063, 1062, 267, 6304, 267, 8644, 5984, 267, 5664, 5101, 267, 24114, 267, 3345, 4000, 267, 744, 2006, 267, 31512, 807, 267, 2136, 8003, 267, 2475, 30566, 344, 267, 29874, 454, 2252, 519, 27693, 538, 8644, 5984, 7620, 4553, 519, 7097, 538, 31512, 807, 543, 5527, 267, 609, 13889, 832, 10912, 585, 9111, 543, 519, 522, 13831, 540, 606, 1313, 4531, 520, 945, 1185, 12199, 936, 873, 585, 1279, 267, 621, 729, 3533, 10423, 602, 519, 8644, 12505, 1650, 1131, 723, 922, 1378, 12638, 748, 23538, 269, 29962, 16334, 2459, 541, 620, 8566, 5417, 2378, 328, 1185, 1310, 782, 6462, 547, 519, 1439, 1010, 8284, 1313, 4531, 1846, 1700, 307, 684, 529, 807, 779, 5484, 18498, 543, 5527, 779, 670, 657, 14269, 631, 889, 541, 752, 1700, 663, 24016, 873, 547, 11677, 741, 1095, 573, 4293, 2048, 5158, 10200, 1656, 607, 646, 1185, 21438, 782, 1379, 543, 22393, 6854, 519, 7952, 4617, 267, 972, 941, 1100, 1252, 1023, 945, 1223, 6494, 1864, 24386, 269, 898, 729, 2312, 602, 646, 729, 711, 2469, 547, 979, 4626, 573, 569, 563, 5475, 606, 3355, 1974, 540, 26900, 267, 950, 519, 30280, 3533, 19597, 730, 741, 1852, 936, 519, 3282, 11656, 9456, 2694, 540, 519, 2197, 543, 3459, 14027, 547, 2509, 519, 12512, 1193, 517, 724, 9529, 540, 11184, 974, 543, 25676, 10008, 267, 717, 5417, 2378, 328, 9250, 513, 12638, 748, 4831, 12431, 5435, 609, 13688, 267, 5230, 25044, 267, 543, 2011, 14742, 269, 634, 4164, 26090, 4229, 26017, 676, 1010, 14930, 941, 2484, 1732, 9280, 602, 519, 30280, 543, 519, 4108, 964, 518, 1562, 945, 1185, 8678, 873, 543, 723, 1044, 20406, 12902, 1394, 519, 30280, 269, 17547, 4771, 519, 31111, 4434, 538, 23642, 26836, 611, 267, 513, 1507, 4884, 1063, 519, 3282, 1201, 10320, 2823, 540, 681, 553, 28469, 18860, 543, 717, 5417, 2378, 328, 779, 1753, 4884, 540, 11184, 974, 269, 634, 12512, 779, 4229, 723, 1631, 9676, 519, 16788, 540, 681, 553, 28469, 18860, 543, 645, 2958, 320, 543, 616, 14027, 2509, 519, 31111, 22071, 540, 5484, 724, 21532, 267, 1498, 16700, 584, 1092, 538, 3844, 8644, 5984, 1869, 5526, 547, 581, 8066, 856, 5103, 14213, 338, 676, 519, 605, 8566, 5417, 2378, 328, 4229, 563, 5475, 2348, 24847, 1572, 585, 717, 5417, 2378, 328, 547, 979, 267, 519, 2136, 2276, 543, 4639, 3864, 3401, 616, 1631, 538, 513, 844, 663, 776, 269, 769, 519, 1101, 3236, 267, 621, 568, 711, 2312, 2436, 5518, 4446, 871, 15525, 4991, 621, 693, 782, 281, 593, 4728, 476, 275, 267, 646, 5143, 8419, 24273, 538, 24543, 912, 2108, 5472, 519, 4229, 602, 649, 2461, 7487, 693, 960, 538, 5527, 616, 4229, 602, 6923, 1058, 581, 13988, 609, 721, 267, 1058, 581, 13988, 609, 5840, 2443, 952, 649, 1118, 1434, 3664, 1631, 543, 649, 1174, 4990, 540, 519, 30908, 540, 1686, 3034, 763, 1249, 602, 3087, 2209, 2066, 3345, 4000, 543, 519, 14655, 13323, 616, 711, 669, 13589, 4550, 268, 29994, 610, 4550, 268, 4785, 1793, 690, 753, 8806, 2982, 602, 519, 17600, 616, 12082, 538, 6469, 2175, 267, 711, 602, 789, 616, 605, 268, 29994, 269, 11569, 267, 519, 3747, 585, 18177, 6608, 568, 513, 3747, 585, 6608, 711, 547, 581, 7449, 969, 1304, 569, 30191, 18303, 4507, 607, 631, 889, 541, 752, 1185, 2944, 2336, 2691, 519 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 562, 272, 815, 703, 17301, 1584, 15405, 258, 562, 273, 815, 703, 17301, 1584, 15405, 258, 1820, 3799, 272, 266, 333, 272, 19885, 272, 5991, 273, 19885, 272, 265, 333, 273, 2020, 333, 815, 703, 9272, 15405, 1721, 1775, 538, 2039, 263, 271, 19885, 2187, 825, 1820, 9217, 1262, 273, 264, 0, 454, 258, 15612, 908, 3593, 781, 14057, 2687, 547, 519, 1297, 540, 2395, 2016, 676, 3593, 543, 13830, 519, 3977, 538, 513, 3758, 7531, 258, 11679, 4240, 334, 24927, 454, 258, 3721, 476, 272, 2433, 14871, 18452, 689, 588, 19734, 267, 9373, 1297, 540, 2395, 454, 258, 21163, 476, 273, 2433, 6875, 519, 2395, 607, 4661, 547, 519, 2783, 454, 258, 21163, 476, 274, 2433, 6744, 519, 2783, 952, 519, 1297, 540, 2395, 616, 4570, 1775, 4318, 269, 476, 272, 547, 476, 3607, 277, 8537, 454, 258, 21163, 476, 275, 2433, 1403, 519, 2783, 568, 3020, 5173, 519, 1267, 1210, 476, 273, 18898, 268, 272, 454, 258, 21163, 476, 276, 2433, 22417, 21347, 547, 13362, 1210, 7941, 676, 476, 1911, 689, 519, 1267, 5833, 689, 1900, 476, 275, 454, 258, 21163, 476, 277, 2433, 1403, 519, 2783, 568, 7301, 4159, 513, 5048, 6031, 596, 723, 9411, 23380, 2395, 454, 258, 21163, 476, 278, 2433, 9105, 519, 3593, 547, 556, 268, 10938, 4570, 1297, 540, 2395, 454, 258, 21163, 476, 279, 2433, 6744, 519, 2783, 2073, 952, 621, 568, 3020, 14892, 519, 1267, 899, 538, 1900, 1948, 275, 454, 258, 21163, 476, 280, 2433, 1403, 621, 568, 7301, 2073, 2307, 519, 3593, 547, 556, 268, 10938, 519, 4570, 1297, 540, 2395, 1586, 543, 3136, 454, 258, 21163, 476, 1015, 2433, 4495, 519, 2783, 568, 3020, 2736, 519, 8520, 543, 4159, 519, 1267, 454, 258, 21163, 476, 1556, 2433, 17547, 19638, 258, 25284, 2719, 454, 5814, 2979, 825, 1948, 4118, 9819, 454, 5814, 942, 692, 3698, 1292, 10031, 825, 32197, 815, 942, 269, 1598, 1111, 830, 3488, 260, 288, 268, 260, 312, 260, 332, 260, 323, 268, 260, 295, 268, 260, 300, 268, 260, 306, 10807, 1341, 29717, 339, 868, 262, 476, 1948, 32197, 609, 1062, 4266, 942, 3898, 454, 825, 535, 815, 1930, 6600, 32327, 2073, 1412, 342, 10807, 1948, 6679, 519, 3758, 609, 2328, 1412, 342, 262, 10479, 22562, 825, 535, 22182, 3488, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10954, 333, 10807, 1948, 23732, 609, 1341, 10030, 454, 825, 1820, 3488, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 266, 5073, 2018, 1948, 2414, 1039, 519, 3197, 270, 1372, 14585, 908, 3977, 454, 825, 2395, 815, 703, 9272, 2891, 8923, 4283, 1297, 540, 2395, 281, 834, 264, 3738, 567, 1948, 2026, 6362, 3593, 3403, 454, 825, 535, 22182, 3488, 17058, 281, 476, 4939, 338, 262, 260, 17058, 264, 4449, 17264, 1948, 5675, 519, 3593, 3403, 1412, 17058, 262, 547, 519, 1257, 3758, 454, 825, 952, 630, 2395, 3436, 476, 271, 543, 2395, 10922, 476, 3607, 277, 476, 2567, 4449, 8587, 1948, 935, 1288, 547, 2638, 4570, 2395, 538, 513, 1032, 454, 1038, 562, 815, 2979, 4877, 578, 263, 273, 267, 2395, 268, 272, 264, 4449, 19930, 1948, 12741, 1599, 3267, 273, 18898, 268, 272, 454, 1038, 544, 815, 562, 1315, 476, 1911, 14030, 11434, 1948, 3519, 31844, 21347, 547, 9489, 454, 1038, 535, 22182, 28361, 333, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10954, 333, 5073, 1038, 1820, 3488, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 266, 5073, 1038, 535, 22182, 3488, 4303, 567, 4653, 32075, 338, 6428, 776, 1422, 333, 9339, 476, 476, 2411, 10559, 333, 4939, 338, 825, 1269, 260, 338, 262, 260, 263, 17058, 31599, 4297, 567, 1948, 260, 338, 28175, 560, 3191, 4939, 263, 17058, 31599, 264, 1210, 4756, 547, 4159, 3977, 454, 1038, 1820, 3488, 4303, 567, 4653, 32075, 338, 6428, 776, 1422, 333, 9339, 476, 476, 2411, 10559, 333, 4939, 338, 825, 1269, 260, 338, 262, 260, 263, 17058, 31599, 4297, 825, 1948, 260, 338, 28175, 560, 3191, 4939, 263, 17058, 31599, 264, 1210, 4756, 547, 4159, 3977, 3097, 825, 3116, 912, 1038, 1247, 6936, 281, 14030, 7386, 1948, 5979, 14563, 547, 2638, 2436, 3593, 814, 9411, 4570, 1239, 454, 2018, 535, 22182, 19629, 333, 1103, 20777, 1297, 540, 2395, 14826, 8442, 25639, 1948, 5675, 23380, 1297, 540, 2395, 547, 1257, 3758, 454, 2018, 1820, 2891, 1103, 20777, 1297, 540, 2395, 14826, 5602, 2018, 535, 22182, 3488, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10954, 333, 10807, 8587, 1948, 23732, 609, 1341, 10030, 538, 519, 1257, 3758, 454, 2018, 1820, 3488, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10954, 333, 5073, 2018, 2395, 815, 703, 9272, 2891, 8923, 4283, 1297, 540, 2395, 281, 834, 264, 3738, 1948, 2026, 6362, 3593, 3403, 454, 2018, 535, 22182, 3488, 17058, 281, 476, 4939, 338, 262, 260, 17058, 994, 2018, 1948, 2745, 18011, 10900, 9339, 10807, 22322, 2018, 952, 630, 2395, 3436, 476, 271, 543, 2395, 10922, 476, 3607, 277, 476, 2187, 3546, 562, 815, 703, 263, 4118, 4877, 578, 263, 273, 267, 2395, 268, 272, 4917, 3546, 544, 815, 562, 1315, 476, 1911, 454, 3546, 1820, 18011, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10954, 333, 5073, 3546, 535, 22182, 28361, 333, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10030, 10954, 333, 5073, 3546, 535, 22182, 3488, 4303, 567, 4653, 32075, 338, 6428, 776, 14826, 9339, 476, 476, 2411, 734, 10559, 333, 4939, 338, 825, 1269, 260, 338, 262, 260, 263, 17058, 31599, 4917, 3546, 1820, 3488, 4303, 567, 4653, 32075, 338, 6428, 776, 14826, 9339, 476, 476, 2411, 734, 10559, 333, 4939, 338, 825, 1269, 260, 338, 262, 260, 263, 17058, 31599, 4917, 3546, 2736, 14030, 4449, 8587, 1948, 12577, 519, 8520, 22562, 672, 692, 10852, 3890, 16875, 1948, 322, 16226, 1292, 1599, 692, 0, 5035, 8827, 912, 825, 1219, 4484, 23382, 5209, 4311, 267, 21745, 1080, 2187, 1038, 9598, 815, 13634, 2018, 1412, 273, 9166, 4289, 3488, 29582, 262, 13211, 2018, 1412, 274, 9166, 4289, 3488, 3698, 262, 13211, 2018, 1412, 275, 9166, 1592, 3488, 724, 328, 262, 13211, 2018, 1412, 276, 9166, 1592, 3488, 329, 9383, 262, 13211, 2018, 1412, 277, 9166, 1592, 3488, 332, 7224, 262, 13211, 2018, 1412, 278, 9166, 1592, 3488, 335, 336, 3464, 262, 13211, 2018, 1412, 279, 9166, 1592, 3488, 339, 12320, 262, 13211, 2018, 1412, 280, 9166, 1592, 3488, 342, 15383, 345, 262, 13211, 1038, 7684, 454, 1038, 759, 17342, 2639, 1038, 1219, 1394, 10177, 1188, 263, 18474, 1588, 267, 1985, 5091, 580, 1080, 2187, 2018, 952, 7003, 263, 10113, 5091, 580, 1080, 264, 2525, 271, 912, 3546, 759, 6910, 263, 18474, 1588, 2020, 2018, 3116, 912, 3546, 585, 4484, 538, 9598, 314, 10113, 5091, 580, 1080, 314, 271, 316, 14158, 7386, 1394, 10177, 1188, 263, 18474, 1588, 266, 12072, 267, 1985, 5091, 580, 1080, 314, 272, 281, 7481, 7386, 1948, 1820, 263, 18474, 1588, 2020, 1038, 952, 9704, 912, 2018, 1394, 10177, 1188, 3488, 3299, 21745, 1080, 994, 1038, 2132, 759, 454, 604, 6449, 4067, 1029, 2525, 257, 1029, 10852, 28751, 825, 521, 815, 8827, 4590, 825, 759, 815, 521, 269, 12072, 23382, 5209, 3488, 2537, 5073, 825, 1820, 263, 637, 264, 0, 18411, 5649, 5220, 267, 4894, 5309, 9822, 725, 543, 2262, 18351, 1436, 454, 18411, 5814, 562, 2741, 330, 454, 5814, 5569, 454, 6358, 18316, 815, 1930, 3488, 9188, 518, 658, 1242, 17902, 3299, 1412, 337, 5073, 338, 27542, 18316, 815, 1930, 3488, 338, 550, 4671, 7505, 1125, 17902, 3299, 1412, 342, 5073, 5320, 318, 16059, 815, 1930, 3488, 5320, 4671, 7505, 1125, 17902, 3299, 1412, 342, 17210, 335, 9417, 27133, 815, 1305, 30415, 4877, 9417, 6672, 2020, 3863, 5334, 550, 1878, 815, 3403, 18316, 18667, 4590, 258, 4845, 18351, 1125, 454, 338, 550, 1878, 815, 562, 2741, 330, 4732, 550, 4671, 7505, 1125, 263, 3863, 5334, 550, 1878, 2020, 2745, 2891, 10831, 540, 29941, 24333, 7003, 3799, 2741, 330, 4732, 550, 4671, 7505, 1125, 263, 3863, 5334, 550, 1878, 4297, 2020, 258, 3503, 5220, 547, 519, 1257, 3758, 835, 2630, 519, 824, 454, 2745, 19629, 333, 14826, 307, 7505, 1944, 29941, 10371, 23528, 1721, 2582, 5334, 27542, 538, 5220, 912, 825, 2407, 5334, 27542, 815, 834, 4840, 825, 585, 1899, 538, 2582, 5334, 27542, 21858, 6050, 10031, 1038, 2407, 5334, 27542, 815, 2407, 5334, 27542, 1341, 1899, 454, 1038, 2407, 5334, 27542, 815, 2407, 5334, 27542, 1341, 834, 27029, 825, 4845, 18316, 22182, 263, 21459, 5334, 27542, 994, 2745, 2891, 20479, 540, 22054, 18351, 1436, 568, 538, 3758, 2366, 4671, 7505, 1125, 17902, 15419, 258, 3367, 1913, 543, 4894, 18685, 543, 2328, 547, 2262, 4671, 7505, 1125, 17902, 3758, 454, 2745, 19629, 333, 14826, 307, 7505, 1944, 9293, 2807, 23528, 5976, 1930, 3488, 338, 550, 4671, 7505, 1125, 17902, 10807, 607, 535, 335, 912, 825, 585, 1899, 538, 535, 335, 18667, 6050, 10031, 1038, 14047, 318, 1467, 815, 1412, 8339, 21860, 8443, 322, 585, 524, 538, 1899, 952, 524, 711, 538, 14047, 27133, 7481, 1038, 2262, 318, 16059, 22182, 3488, 29717, 21860, 3799, 2741, 330, 269, 5320, 4671, 7505, 1125, 9638, 9417, 318, 1467, 269, 21639, 3890, 21875, 2745, 2891, 20479, 540, 6478, 18351, 1436, 568, 538, 3758, 2262, 4671, 7505, 1125, 17902, 257, 9239, 0, 5814, 3068, 318, 13440, 10744, 454, 5814, 20956, 273, 454, 5814, 15259, 454, 5228, 9633, 318, 534, 4519, 1104, 2608, 7531, 258, 2411, 19203, 293, 19781, 667, 4953, 4488, 3582, 20219, 23727, 2411, 734, 8894, 258, 4958, 5281, 513, 1592, 540, 10974, 282, 476, 272, 1305, 585, 1142, 3068, 538, 519, 8666, 269, 3097, 3698, 1205, 10870, 24002, 263, 19112, 2187, 825, 2132, 3068, 318, 13440, 10744, 269, 2183, 9078, 23148, 263, 19112, 2020, 258, 2411, 9339, 268, 9915, 299, 3951, 20219, 23727, 10900, 454, 3698, 1205, 8266, 8170, 293, 2167, 263, 19112, 2187, 825, 3068, 9078, 23148, 815, 1205, 10870, 24002, 263, 19112, 2020, 825, 8700, 815, 4463, 815, 476, 28192, 454, 825, 1592, 15058, 318, 5865, 815, 11713, 8931, 825, 585, 3068, 318, 1723, 3581, 538, 3068, 9078, 23148, 912, 1038, 630, 9008, 267, 1318, 267, 5377, 267, 2451, 264, 815, 3068, 318, 1723, 3581, 28329, 1038, 3068, 318, 13548, 815, 708, 326, 314, 9008, 281, 321, 18847, 267, 2451, 281, 2431, 2639, 1038, 759, 1242, 815, 20956, 273, 269, 637, 1125, 263, 2183, 318, 13548, 267, 630, 12296, 267, 4463, 4917, 13872, 1038, 1592, 15058, 318, 5865, 6910, 263, 637, 1242, 2020, 825, 2132, 1592, 15058, 318, 5865, 7531, 10310, 30607, 11872, 593, 7335, 18509, 7149, 476, 10310, 2971, 2162, 692, 258, 3068, 9078, 23148, 568, 606, 5044, 17609, 519, 1071, 268, 24002, 540, 1142, 3068, 563, 258, 585, 1383, 267, 606, 3239, 733, 320, 532, 476, 276, 8188, 1131, 2132, 476, 276, 5036, 540, 10974, 454, 258, 3436, 3068, 9078, 23148, 815, 3068, 318, 13440, 10744, 269, 2183, 9078, 23148, 263, 19112, 994, 258, 3436, 1820, 630, 2183, 9078, 23148, 994, 258, 21188, 476, 27883, 14695, 267, 476, 4375, 275, 267, 476, 21327, 267, 476, 25134, 1070, 630, 16409, 267, 476, 6977, 267, 476, 26951, 267, 476, 9834, 1070, 630, 6321, 267, 476, 4366, 275, 267, 476, 16409, 267, 476, 4375, 275, 1070, 630, 12293, 267, 476, 276, 4097, 267, 476, 25228, 267, 476, 29900, 1070, 630, 14444, 267, 476, 26326, 267, 476, 25090, 267, 476, 4198, 264, 6540, 258, 1366, 734, 15105, 10974, 1366, 734, 454, 258, 608, 281, 630, 16409, 267, 476, 6977, 267, 476, 26951, 267, 476, 9834, 994, 258, 1535, 815, 476, 6977, 267, 586, 815, 476, 26951, 568, 5377, 1318, 7944, 454, 258, 1535, 815, 476, 6977, 267, 586, 815, 476, 16409, 568, 1283, 1318, 7944, 454, 258, 1535, 815, 476, 9834, 267, 476, 586, 815, 476, 16409, 568, 1283, 2451, 7944, 454, 258, 1535, 815, 476, 9834, 267, 476, 586, 815, 476, 26951, 568, 5377, 2451, 7944, 692, 10310, 30607, 1280, 4152, 1299, 17431, 476, 10310, 2971, 2162, 692, 3698, 1449, 293, 864, 19547, 1254, 263, 19112, 2187, 825, 3068, 9078, 23148, 815, 1205, 10870, 24002, 263, 19112, 994, 825, 952, 711, 3068, 9078, 23148, 912, 1038, 1820, 2891, 5591, 8188 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19028, 268, 2048, 763, 4999, 540, 22559, 267, 9597, 516, 2280, 267, 543, 18009, 4115, 4027, 786, 5555, 1683, 693, 2547, 476, 26392, 267, 1822, 14143, 540, 9921, 4104, 7226, 19028, 268, 2048, 19013, 267, 711, 2614, 9754, 1570, 568, 27057, 2139, 547, 1449, 2436, 20194, 7306, 610, 1022, 824, 9804, 4162, 540, 519, 1079, 2249, 540, 9597, 516, 7410, 6594, 1934, 8428, 19028, 268, 2048, 2690, 1142, 4781, 267, 519, 1867, 26693, 519, 2360, 593, 16025, 2504, 543, 6009, 543, 519, 23812, 540, 1896, 2025, 3766, 9512, 2249, 267, 1519, 519, 22559, 267, 519, 2261, 16940, 9597, 516, 2280, 267, 13687, 267, 543, 824, 3165, 2249, 19028, 268, 2048, 305, 520, 32456, 1185, 4389, 835, 540, 519, 4102, 9960, 10125, 540, 2473, 656, 639, 9597, 516, 7410, 547, 1175, 513, 1906, 8424, 267, 15980, 519, 26026, 2273, 513, 1761, 5544, 593, 519, 5313, 29510, 15661, 5903, 19028, 268, 2048, 763, 14275, 8367, 729, 602, 7226, 543, 824, 4632, 1223, 711, 581, 1031, 547, 3589, 519, 3961, 540, 513, 9597, 516, 2280, 1895, 19028, 268, 2048, 13828, 918, 8636, 331, 6308, 781, 543, 3057, 16940, 9597, 516, 7410, 17820, 4922, 4756, 13395, 11097, 2195, 267, 4470, 593, 7226, 4756, 610, 3135, 19028, 268, 2048, 14367, 1557, 593, 519, 964, 738, 800, 3646, 1500, 547, 2149, 519, 9597, 516, 2280, 543, 922, 21224, 12406, 538, 2025, 29115, 7733, 568, 3226, 8650, 19028, 268, 2048, 2252, 519, 9597, 516, 2280, 568, 6450, 15929, 267, 621, 781, 1317, 519, 6288, 3028, 530, 21317, 856, 5065, 11975, 19028, 268, 2048, 301, 3949, 538, 519, 645, 684, 3122, 16186, 616, 1369, 476, 276, 5998, 540, 7286, 2127, 267, 543, 723, 519, 5207, 9566, 23724, 2787, 3928, 2943, 4080, 585, 9597, 516, 7410, 267, 799, 568, 2219, 547, 581, 5532, 547, 16133, 540, 25061, 2127, 19028, 268, 2048, 8601, 602, 1202, 327, 648, 25061, 4356, 267, 9597, 516, 7410, 723, 1044, 6010, 2989, 547, 620, 322, 1749, 602, 28532, 1055, 910, 13272, 1813, 547, 3845, 789, 2951, 1063, 9566, 4609, 543, 8023, 2127, 19028, 268, 2048, 763, 2261, 16940, 9597, 516, 2280, 267, 513, 6177, 827, 519, 2450, 540, 513, 3775, 514, 267, 568, 519, 1152, 26026, 2273, 547, 9566, 538, 2025, 2208, 4104, 19028, 268, 2048, 288, 742, 514, 885, 540, 1312, 918, 8636, 331, 6308, 781, 543, 3057, 16940, 9597, 516, 7410, 585, 1880, 1216, 9355, 543, 7226, 2010, 2938, 1934, 2992, 3604, 538, 25061, 7375, 19028, 268, 2048, 26156, 540, 519, 30160, 540, 519, 595, 2444, 1228, 16186, 267, 519, 1858, 568, 7226, 585, 24052, 32608, 267, 2261, 16940, 9597, 516, 7410, 267, 19481, 31450, 267, 4172, 326, 1513, 267, 561, 2106, 343, 267, 13687, 267, 543, 5374, 3650, 267, 799, 8853, 1851, 9921, 543, 2034, 3766, 9512, 7733, 540, 524, 25729, 543, 19958, 535, 597, 19028, 268, 2048, 2464, 288, 2000, 13554, 5017, 538, 6115, 7286, 7297, 616, 519, 2261, 16940, 9597, 516, 2280, 267, 24052, 23914, 267, 6960, 10652, 4618, 267, 2110, 26904, 11549, 520, 1484, 267, 543, 7262, 6777, 344, 726, 1478, 19028, 268, 2048, 15275, 2305, 540, 5732, 5078, 7226, 267, 12220, 585, 4527, 267, 543, 1463, 4027, 3800, 616, 3622, 5916, 538, 930, 6752, 547, 2057, 2921, 9597, 516, 7410, 19028, 2171, 1491, 513, 1413, 693, 1896, 2442, 267, 1498, 14845, 267, 18685, 7436, 563, 5804, 15787, 547, 25472, 267, 3605, 9670, 543, 10578, 1893, 5013, 689, 1472, 519, 8608, 563, 763, 8847, 540, 2048, 321, 28854, 685, 543, 2048, 15842, 685, 538, 519, 744, 3633, 723, 5063, 1044, 15428, 269, 1284, 2263, 741, 1686, 543, 2333, 538, 8560, 269, 0, 20458, 543, 6052, 281, 7316, 568, 519, 512, 6235, 1448, 286, 20103, 476, 276, 267, 476, 1001, 272, 454, 763, 4139, 6052, 10837, 779, 476, 1001, 272, 2622, 6052, 31326, 729, 5950, 2063, 3923, 267, 543, 621, 729, 513, 1350, 334, 3912, 1867, 269, 901, 568, 5097, 1317, 519, 594, 12788, 814, 7608, 519, 10206, 602, 2518, 8337, 1590, 581, 8659, 547, 606, 2333, 540, 476, 273, 5232, 17622, 1657, 840, 11897, 12009, 2157, 267, 543, 602, 713, 3112, 581, 2944, 952, 2910, 273, 10301, 513, 1377, 3564, 476, 14596, 851, 829, 2929, 630, 13048, 300, 264, 538, 519, 5790, 269, 634, 594, 12788, 5359, 602, 476, 3199, 260, 540, 519, 476, 14596, 653, 332, 1377, 568, 2907, 968, 6674, 539, 538, 892, 547, 519, 3830, 1317, 540, 4540, 5989, 267, 543, 602, 519, 1158, 786, 2693, 946, 909, 519, 6967, 3666, 1369, 476, 276, 610, 476, 277, 1296, 267, 5097, 1317, 540, 519, 5230, 946, 540, 5755, 676, 3384, 6082, 267, 2523, 3624, 269, 26023, 267, 2687, 547, 713, 1867, 267, 519, 2910, 273, 10766, 568, 14656, 5488, 982, 519, 3327, 1922, 3241, 539, 2518, 4346, 666, 3082, 267, 543, 972, 568, 1085, 656, 2963, 540, 519, 6228, 540, 519, 2797, 786, 8209, 547, 1689, 1919, 538, 513, 31657, 269, 634, 5198, 568, 782, 855, 4503, 563, 7775, 568, 621, 286, 1548, 952, 519, 476, 14596, 13048, 300, 2203, 568, 11234, 286, 589, 1007, 2376, 538, 519, 4760, 3163, 6920, 602, 713, 1522, 581, 519, 2013, 282, 602, 519, 1341, 273, 4110, 512, 6235, 1448, 1522, 711, 2049, 2110, 540, 9830, 540, 476, 7785, 13048, 300, 610, 1256, 3152, 269, 901, 1131, 1611, 602, 519, 1158, 814, 811, 942, 547, 3035, 2208, 998, 513, 8093, 4492, 4346, 267, 1247, 693, 519, 1482, 942, 3384, 811, 3608, 4066, 585, 8781, 5755, 610, 585, 13830, 543, 3524, 6856, 532, 610, 9001, 3327, 5434, 269, 20780, 532, 5318, 5666, 540, 10464, 32549, 3154, 547, 2344, 547, 12990, 585, 5755, 1131, 4444, 1256, 811, 942, 269, 634, 6433, 267, 621, 4667, 267, 568, 711, 31873, 693, 782, 269, 0, 763, 7128, 14236, 519, 15294, 619, 540, 519, 2947, 28138, 9601, 8604, 547, 3398, 30373, 950, 10655, 543, 270, 610, 10714, 532, 2963, 267, 585, 1383, 267, 519, 3375, 547, 32135, 519, 25879, 1603, 540, 519, 3774, 267, 865, 602, 513, 678, 3999, 1131, 711, 1671, 826, 2390, 621, 1373, 2938, 269, 5221, 540, 713, 3375, 267, 972, 616, 711, 1256, 1022, 5961, 540, 713, 4062, 540, 2963, 269, 13966, 609, 602, 267, 1256, 1510, 2029, 2139, 2221, 267, 519, 16134, 540, 5329, 4977, 543, 2143, 5638, 1058, 581, 513, 2629, 1909, 540, 1022, 7634, 269, 2353, 10881, 267, 5012, 543, 2963, 1058, 723, 711, 1152, 1044, 6592, 855, 1476, 4593, 730, 676, 519, 8128, 543, 5265, 17468, 543, 6854, 2922, 269, 3962, 540, 891, 10372, 5849, 602, 1524, 519, 4155, 267, 972, 786, 693, 2547, 581, 2168, 2963, 547, 1095, 728, 936, 2262, 6361, 2173, 1926, 610, 2984, 5293, 1524, 5481, 269, 0, 288, 6348, 4149, 331, 871, 659, 27854, 13979, 454, 25542, 630, 528, 834, 15187, 8442, 13840, 3459, 607, 513, 5420, 585, 8878, 1344, 1062, 538, 519, 476, 3422, 271, 338, 269, 4653, 519, 6302, 540, 5769, 723, 6905, 689, 6071, 8878, 1344, 547, 3540, 3515, 267, 689, 1863, 547, 11720, 539, 10092, 4143, 585, 782, 15211, 540, 1272, 734, 817, 6979, 519, 2990, 540, 606, 1898, 4199, 585, 519, 19174, 267, 607, 1134, 607, 267, 1870, 543, 9913, 1158, 269, 898, 3091, 513, 264, 1569, 547, 4466, 856, 1699, 3377, 543, 2621, 267, 536, 264, 1797, 540, 2653, 19280, 543, 5924, 9140, 5370, 543, 2835, 267, 524, 264, 16881, 23842, 1863, 3301, 781, 267, 3756, 267, 543, 2407, 4760, 4930, 267, 546, 264, 4276, 547, 1022, 835, 2066, 519, 1158, 267, 543, 540, 782, 552, 264, 5009, 519, 3020, 6891, 540, 3845, 2069, 543, 1930, 6280, 1062, 269, 1452, 5383, 723, 1500, 5121, 16832, 269, 634, 10761, 540, 1373, 554, 10541, 568, 513, 6752, 543, 1210, 519, 24080, 1863, 4757, 2533, 513, 7678, 563, 288, 2143, 1353, 540, 875, 5769, 8309, 585, 1646, 540, 519, 2486, 568, 17149, 269, 11752, 540, 519, 5680, 814, 1044, 2944, 676, 1082, 267, 543, 835, 971, 568, 676, 12448, 22513, 663, 14162, 1547, 898, 568, 513, 10855, 5619, 267, 6212, 593, 1646, 540, 519, 5769, 267, 1764, 593, 2486, 630, 514, 2474, 540, 1367, 267, 3347, 267, 6214, 267, 9297, 1070, 519, 2104, 630, 15574, 20358, 267, 5769, 1569, 267, 543, 3060, 6165, 1040, 6270, 7811, 543, 8343, 1759, 2090, 616, 2556, 585, 513, 3666, 3239, 540, 519, 5691, 4641, 269, 769, 1249, 972, 568, 835, 811, 4277, 543, 3407, 4062, 593, 834, 19465, 606, 5769, 2528, 2580, 676, 5845, 3397, 516, 267, 945, 568, 606, 21133, 7905, 538, 519, 4972, 540, 9442, 267, 2160, 540, 4993, 267, 543, 2139, 3842, 1010, 19534, 281, 5769, 1547, 3571, 2376, 593, 834, 763, 1439, 540, 1344, 543, 519, 2104, 540, 8021, 568, 513, 1483, 2985, 1818, 721, 31739, 593, 875, 4244, 3206, 666, 581, 849, 2009, 269, 9282, 713, 1957, 568, 3370, 538, 28626, 20157, 4115, 267, 930, 949, 2070, 519, 4760, 3294, 538, 513, 1114, 5133, 267, 713, 4129, 542, 568, 711, 18532, 543, 1058, 711, 581, 3144, 607, 4129, 542, 776, 3801, 676, 803, 563, 22033, 3744, 543, 20157, 12579, 267, 6306, 267, 972, 616, 513, 3984, 540, 1866, 945, 616, 5461, 538, 2866, 1004, 593, 875, 547, 946, 519, 4880, 267, 2901, 2228, 610, 3842, 552, 17733, 267, 3643, 585, 3236, 519, 1357, 2985, 540, 23548, 636, 594, 3630, 29538, 2324, 693, 27107, 288, 4659, 540, 5303, 267, 945, 814, 606, 14969, 2228, 2866, 1982, 269, 2701, 24870, 538, 1893, 3450, 543, 814, 5059, 519, 2866, 1982, 849, 585, 1346, 5461, 538, 1565, 2296, 607, 4914, 1893, 267, 2296, 607, 2034, 1893, 267, 2296, 585, 2027, 5301, 267, 2296, 585, 6355, 5301, 563, 25446, 21612, 296, 23177, 610, 595, 312, 21612, 296, 23177, 912, 299, 2320, 12579, 991, 547, 4487, 519, 5680, 538, 811, 982, 835, 1259, 269, 9457, 344, 1934, 2882, 711, 1152, 3432, 538, 1569, 267, 855, 849, 26762, 519, 11507, 602, 519, 5680, 3217, 782, 2059, 543, 10283, 538, 1818, 938, 1378, 2385, 3906, 7127, 538, 547, 519, 5769, 267, 607, 1134, 607, 267, 538, 2271, 3757, 564, 563, 1432, 5107, 7172, 12579, 723, 547, 1404, 454, 514, 519, 12687, 540, 519, 6932, 1007, 1344, 2707, 267, 602, 568, 519, 4880, 286, 634, 454, 24987, 568, 789, 991, 547, 2087, 741, 1983, 538, 2127, 971, 607, 912, 30509, 689, 6024, 3332, 602, 19674, 593, 10478, 543, 17034, 31930, 267, 676, 7172, 12579, 607, 1134, 607, 6880, 12665, 267, 17048, 532, 540, 4950, 2200, 814, 849, 9575, 1454, 3007, 267, 543, 8041, 607, 1134, 607, 9945, 616, 782, 7722, 538, 621, 267, 1519, 930, 540, 519, 1739, 912, 2304, 4277, 14679, 538, 713, 2543, 814, 1044, 540, 2875, 781, 1378, 960, 267, 538, 17048, 532, 5907, 2200, 267, 607, 513, 851, 540, 519, 1576, 3334, 585, 1383, 693, 2701, 742, 1752, 2160, 267, 713, 568, 513, 1592, 540, 3785, 11341, 547, 2127, 267, 971, 607, 267, 6538, 1374, 267, 17048, 532, 538, 519, 5907, 2085, 267, 4052, 7384, 960, 267, 3092, 563, 2005, 568, 12479, 602, 519, 3924, 786, 3666, 922, 1909, 538, 4946, 606, 3606, 5539, 538, 922, 2185, 16784, 4247, 543, 1118, 3294, 513, 1883, 1909, 6345, 538, 519, 5691, 6389, 269, 1284, 1185, 12479, 547, 10929, 513, 1957, 1447, 5736, 267, 855, 1705, 711, 4952, 540, 513, 3059, 5399, 602, 949, 2196, 6252, 547, 519, 9102, 4015, 5399, 256, 11683, 8021, 543, 5238, 616, 782, 883, 14291, 519, 9102, 2339, 883, 3684, 28505, 3898, 267, 607, 585, 3236, 519, 3059, 5399, 1788, 540, 31446, 267, 543, 519, 1585, 5907, 17476, 543, 6252, 630, 2745, 270, 19491, 3055, 264, 3370, 3621, 13746, 563, 288, 2487, 2376, 538, 6176, 2622, 5623, 267, 630, 15037, 476, 1960, 279, 267, 533, 269, 476, 1626, 1070, 12651, 2152, 602, 723, 11821, 519, 8186, 827, 945, 666, 581, 1572, 607, 4648, 267, 543, 945, 616, 1344, 4648, 269, 594, 10839, 281, 834, 25748, 267, 519, 4412, 15929, 540, 519, 1523, 540, 1702, 2359, 814, 818, 17470, 269, 901, 814, 9927, 1344, 2359, 689, 1373, 606, 3390, 585, 1970, 569, 5399, 543, 1344, 13623, 547, 1373, 835, 540, 7580, 9746, 2956, 269, 898, 4667, 10169, 4401, 545, 602, 713, 6284, 540, 519, 2956, 540, 1344, 9060, 519, 1344, 538, 519, 22984, 540, 922, 6574, 6433, 269, 634, 2856, 540, 1018, 13054, 606, 1344, 3318, 814, 1044, 4503, 8487, 1607, 568, 547, 6338, 519, 3924, 609, 513, 2241, 543, 2653, 1259, 547, 2911, 543, 3802, 538, 519, 4880, 267, 543, 581, 835, 609, 519, 6176, 5303, 630, 3951, 1040, 5769, 814 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8273, 982, 1535, 317, 272, 270, 273, 780, 1220, 275, 268, 6021, 268, 4905, 267, 476, 736, 281, 1321, 5231, 1948, 279, 454, 342, 4565, 2089, 692, 257, 19365, 4840, 9802, 476, 1220, 274, 454, 6124, 670, 13273, 692, 273, 267, 4391, 272, 24762, 692, 32621, 912, 20323, 17397, 676, 7585, 18234, 2006, 670, 7795, 286, 1403, 519, 4102, 6305, 3815, 666, 581, 607, 1804, 607, 1535, 317, 269, 7176, 267, 1287, 519, 2034, 4102, 666, 711, 581, 3144, 607, 1804, 607, 1535, 317, 269, 276, 563, 1607, 568, 865, 4636, 621, 781, 2182, 547, 1491, 596, 12517, 269, 2913, 781, 1491, 519, 1383, 540, 476, 3374, 269, 901, 568, 513, 1297, 4171, 4102, 3815, 568, 1447, 982, 1535, 5392, 270, 2004, 543, 4171, 2034, 4102, 3815, 568, 1447, 982, 1535, 272, 270, 273, 269, 594, 723, 1175, 7152, 602, 519, 1305, 540, 971, 2338, 538, 1875, 268, 24105, 269, 898, 4667, 6654, 547, 803, 602, 594, 27114, 1491, 519, 1305, 540, 2338, 609, 4102, 3815, 1447, 982, 1535, 5392, 270, 2004, 543, 2034, 4102, 3815, 1447, 982, 1535, 272, 270, 273, 543, 2307, 6209, 2055, 827, 621, 781, 5506, 269, 898, 781, 3020, 602, 2338, 538, 519, 1305, 616, 711, 8195, 2282, 1312, 10665, 910, 855, 602, 781, 1360, 1114, 689, 6031, 519, 1305, 568, 8900, 780, 32621, 912, 20323, 17397, 676, 7585, 18234, 2006, 1548, 568, 4941, 568, 519, 5506, 602, 513, 1804, 267, 4351, 8870, 814, 782, 540, 922, 2188, 1447, 982, 1535, 317, 272, 20324, 543, 513, 2582, 3815, 1063, 1535, 317, 272, 20324, 543, 1535, 317, 272, 12458, 563, 28646, 713, 568, 519, 5470, 538, 707, 1957, 269, 901, 568, 513, 2484, 1114, 3364, 689, 1018, 519, 1957, 3081, 269, 634, 1957, 3081, 454, 32621, 912, 20323, 17397, 676, 18234, 2006, 1299, 25538, 560, 3530, 267, 533, 4510, 277, 1299, 1284, 1374, 622, 676, 579, 5416, 14720, 264, 519, 5506, 602, 1535, 814, 621, 781, 4102, 6305, 3815, 1447, 982, 1535, 272, 21669, 543, 621, 781, 2034, 4102, 6305, 3815, 1447, 982, 1535, 321, 21669, 513, 3436, 536, 3436, 476, 272, 563, 27237, 295, 5058, 827, 513, 5934, 2450, 10421, 593, 519, 4102, 3815, 269, 23875, 602, 1131, 10238, 527, 476, 273, 317, 301, 689, 10362, 547, 519, 1305, 780, 296, 6785, 519, 4542, 4769, 1405, 3514, 519, 4214, 267, 855, 594, 1185, 711, 2808, 519, 7872, 602, 519, 4214, 729, 4636, 269, 3657, 596, 2386, 713, 1964, 622, 618, 568, 2731, 1018, 596, 5497, 286, 1403, 865, 267, 594, 3513, 979, 1055, 543, 1353, 519, 1957, 930, 811, 780, 19365, 692, 303, 2529, 269, 1684, 596, 11555, 3201, 14877, 1611, 547, 1689, 519, 645, 12458, 547, 476, 272, 20324, 607, 1134, 607, 4946, 519, 10421, 602, 519, 4102, 6305, 9765, 476, 272, 12458, 2496, 1220, 275, 268, 6021, 268, 6349, 267, 476, 1724, 281, 6860, 5231, 1948, 280, 454, 305, 6185, 269, 18234, 2006, 692, 22261, 476, 1220, 274, 692, 13932, 275, 4366, 24762, 692, 32621, 912, 20323, 17397, 676, 530, 4565, 2089, 901, 568, 865, 4636, 621, 781, 2182, 547, 1491, 596, 12517, 269, 2913, 781, 1491, 519, 1383, 540, 476, 3374, 269, 15017, 17098, 10484, 296, 3858, 602, 972, 568, 513, 17386, 1966, 609, 519, 4542, 269, 594, 993, 711, 454, 338, 675, 2436, 621, 568, 519, 4542, 610, 875, 13672, 1299, 12498, 941, 3989, 780, 763, 8174, 566, 540, 602, 4542, 267, 538, 922, 2241, 1106, 729, 32462, 269, 898, 3323, 454, 5228, 519, 11186, 8488, 3830, 267, 3238, 513, 18839, 512, 282, 26013, 476, 272, 14121, 2676, 16341, 2242, 540, 4632, 267, 3092, 269, 898, 568, 3833, 2009, 602, 594, 2451, 856, 930, 454, 3410, 780, 7692, 692, 1220, 275, 268, 6021, 268, 6734, 267, 476, 6860, 281, 4029, 5231, 1948, 1015, 454, 342, 4565, 2089, 692, 257, 19365, 4840, 9802, 476, 1220, 274, 454, 6124, 670, 13273, 692, 273, 267, 4391, 272, 24762, 692, 32621, 912, 20323, 17397, 676, 7585, 18234, 2006, 634, 8174, 566, 540, 602, 4542, 267, 538, 922, 2241, 1106, 729, 32462, 563, 296, 1589, 596, 3580, 2699, 4593, 1478, 1945, 596, 6785, 950, 1603, 519, 1957, 269, 594, 6557, 7168, 2386, 519, 7515, 2663, 538, 519, 1957, 941, 711, 7229, 1210, 713, 13542, 727, 4542, 269, 898, 729, 1250, 17418, 547, 6474, 1346, 7515, 602, 3361, 803, 547, 1413, 811, 7184, 883, 519, 4542, 780, 22998, 689, 519, 8488, 1673, 858, 22460, 4834, 729, 1932, 32462, 585, 803, 269, 594, 4769, 1406, 1118, 1022, 3356, 2394, 594, 729, 6273, 676, 12928, 3578, 543, 3004, 6277, 623, 2784, 334, 779, 6609, 540, 16299, 2006, 779, 646, 22618, 8174, 566, 269, 3733, 7058, 2501, 689, 602, 2511, 540, 646, 22618, 8174, 566, 780, 763, 1293, 540, 2338, 1447, 982, 1535, 609, 782, 2188, 1447, 982, 1535, 272, 270, 10401, 568, 11002, 334, 263, 10401, 12684, 343, 269, 2353, 891, 2338, 616, 851, 540, 519, 1293, 585, 18665, 263, 10401, 267, 12498, 6393, 2690, 519, 2338, 609, 835, 1804, 3815, 267, 649, 666, 1293, 519, 2338, 609, 513, 1804, 3815, 540, 1535, 24472, 270, 10401, 1141, 18325, 9832, 689, 835, 547, 12498, 269, 769, 513, 546, 3766, 10397, 14816, 519, 1293, 540, 1804, 2338, 568, 519, 12045, 609, 2463, 547, 18325, 540, 1535, 24472, 270, 10401, 267, 799, 568, 692, 15238, 3287, 8358, 10401, 20080, 24472, 270, 10401, 692, 8253, 782, 540, 891, 2338, 616, 6305, 267, 1498, 269, 634, 6824, 602, 568, 6305, 568, 476, 272, 270, 15238, 3287, 24472, 270, 10401, 1070, 799, 568, 692, 10401, 14370, 24472, 265, 15238, 3287, 11723, 2690, 1142, 971, 6305, 267, 649, 1205, 513, 1297, 538, 18665, 585, 1169, 1297, 1447, 982, 1535, 263, 10401, 3766, 10397, 8358, 10401, 602, 814, 782, 540, 621, 779, 6305, 2188, 1447, 982, 1535, 272, 270, 10401, 269, 634, 1293, 540, 971, 2338, 568, 692, 24838, 263, 10401, 3766, 10397, 12684, 343, 263, 10401, 3766, 10397, 8358, 10401, 780, 4322, 4773, 666, 581, 5916, 538, 513, 7533, 543, 2527, 3042, 5594, 547, 2097, 909, 609, 1250, 7058, 912, 16920, 3737, 774, 3518, 333, 5661, 692, 8310, 535, 1342, 1194, 609, 676, 530, 4565, 2089, 593, 476, 1220, 275, 268, 6021, 268, 6734, 693, 476, 6860, 281, 3451, 692, 476, 1220, 275, 268, 6021, 268, 1321, 267, 476, 6734, 281, 2641, 1948, 1556, 530, 4565, 2089, 7545, 834, 19365, 257, 2904, 476, 1220, 274, 1715, 670, 13273, 476, 273, 267, 4391, 272, 24762, 25876, 6390, 256, 594, 1175, 1336, 602, 9400, 645, 1370, 2808, 519, 1599, 18665, 263, 10401, 267, 12498, 264, 538, 2368, 6715, 518, 16748, 1436, 27122, 1210, 11875, 18967, 673, 4354, 1407, 269, 16754, 476, 274, 269, 274, 538, 602, 1957, 23216, 609, 1250, 7058, 269, 5261, 692, 27387, 13088, 692, 5381, 27387, 338, 27387, 27387, 853, 6621, 17072, 1234, 18680, 7831, 5403, 7148, 542, 5038, 16700, 3250, 10389, 4569, 476, 2641, 476, 1001, 275, 268, 6860, 268, 1240, 476, 2641, 281, 6349, 6276, 26081, 5341, 4578, 476, 2641, 476, 1001, 274, 268, 6021, 268, 2918, 476, 866, 281, 7918, 14161, 674, 27688, 22138, 16700, 3250, 10389, 4569, 476, 3451, 476, 1220, 280, 268, 6021, 268, 1556, 476, 736, 281, 5392, 890, 326, 553, 334, 6321, 6176, 1299, 12226, 476, 866, 476, 1220, 280, 268, 6187, 268, 3066, 476, 1428, 281, 6860, 620, 13630, 1258, 4569, 476, 271, 476, 1220, 277, 268, 6187, 268, 2537, 476, 736, 281, 5881, 692, 5472, 2053, 616, 27635, 269, 634, 942, 1631, 568, 476, 5400, 281, 2004, 780, 1320, 340, 2904, 476, 2918, 476, 5400, 281, 2004, 281, 1556, 27635, 476, 1708, 273, 909, 476, 5655, 2395, 267, 476, 277, 281, 7906, 267, 476, 271, 3755, 267, 4452, 25939, 281, 476, 272, 269, 7918, 267, 476, 272, 269, 4649, 267, 476, 272, 269, 6246, 692, 303, 10062, 676, 642, 31624, 2280, 514, 10378, 19405, 476, 274, 269, 279, 269, 1556, 454, 15648, 9736, 1220, 271, 910, 476, 1708, 273, 267, 808, 601, 7809, 9373, 1440, 2478, 13456, 780, 1607, 8468, 814, 4607, 543, 5360, 1221, 609, 476, 271, 630, 14706, 264, 2229, 13668, 585, 1344, 780, 303, 1069, 2153, 568, 11292, 547, 5299, 267, 15814, 543, 5924, 12189, 713, 3561, 896, 519, 2474, 540, 519, 717, 26214, 5131, 11657, 566, 17821, 267, 19405, 476, 272, 269, 273, 610, 1022, 2663, 4528, 3370, 676, 519, 5131, 12229, 7690, 563, 288, 5299, 540, 519, 12689, 568, 3769, 538, 519, 14174, 304, 780, 19749, 510, 13008, 3980, 497, 21680, 6398, 5788, 6567, 20734, 722, 364, 2340, 488, 501, 2340, 488, 499, 2340, 488, 500, 2340, 488, 502, 2340, 488, 503, 18016, 21759, 9881, 355, 9881, 356, 9881, 357, 9881, 358, 9881, 374, 9881, 375, 9881, 376, 9881, 377, 2340, 488, 493, 2340, 488, 494, 2340, 488, 495, 2340, 488, 496, 476, 11054, 476, 23326, 11019, 454, 4501, 510, 3980, 509, 11019, 9881, 483, 9625, 722, 500, 2340, 509, 480, 2340, 360, 505, 454, 19749, 350, 9881, 506, 9881, 486, 3980, 507, 3980, 508, 9881, 359, 9881, 360, 2340, 490, 488, 414, 490, 489, 2340, 490, 486, 414, 490, 487, 3980, 502, 3980, 493, 3980, 494, 3980, 495, 31961, 3980, 357, 3980, 358, 3980, 359, 2340, 357, 478, 2340, 488, 499, 2340, 488, 501, 476, 5582, 500, 499, 476, 5582, 500, 500, 476, 5582, 500, 501, 2340, 488, 366, 2340, 488, 367, 454, 4501, 483, 3980, 500, 3980, 479, 7602, 355, 7602, 352, 3980, 358, 3980, 359, 2340, 488, 484, 2340, 488, 480, 2340, 488, 482, 2340, 488, 488, 2340, 488, 485, 2340, 488, 481, 2340, 488, 483, 2340, 488, 489, 2340, 488, 500, 17995, 3980, 487, 3980, 489, 3980, 490, 21508, 499, 21508, 353, 21508, 504, 21508, 507, 21508, 480, 21508, 369, 21508, 370, 21508, 371, 21508, 372, 476, 5582, 497, 509, 454, 12953, 3980, 357, 31961, 2340, 488, 499, 9890, 7602, 494, 2340, 18568, 2340, 485, 494, 2340, 485, 498, 3980, 478, 3980, 481, 3980, 482, 3980, 368, 3980, 369, 2340, 488, 353, 2340, 488, 354, 2340, 488, 351, 2340, 488, 357, 2340, 360, 353, 2340, 488, 352, 2560, 2340, 489, 363, 2340, 489, 362, 2340, 489, 364, 2340, 489, 365, 454, 4501, 360, 3980, 361, 3980, 511, 3980, 362, 3980, 363, 3980, 364, 3980, 485, 31221, 24818, 3980, 480, 21508, 365, 21508, 496, 21508, 497, 454, 5582, 505, 351, 5582, 505, 376, 476, 5582, 505, 352, 5582, 505, 377, 476, 5582, 505, 353, 5582, 505, 378, 476, 5582, 505, 354, 5582, 505, 379, 476, 5582, 505, 355, 5582, 506, 478, 5582, 506, 500, 476, 5582, 505, 356, 5582, 506, 479, 476, 5582, 505, 357, 5582, 506, 480, 476, 5582, 505, 358, 5582, 506, 481, 5582, 506, 501, 476, 5582, 505, 359, 5582, 506, 482, 476, 5582, 505, 360, 5582, 506, 483, 476, 5582, 505, 361, 5582, 506, 484, 476, 5582, 505, 511, 5582, 506, 485, 476, 5582, 505, 362, 5582, 506, 486, 476, 5582, 505, 363, 5582, 506, 487, 476, 5582, 505, 364, 5582, 506, 488, 476, 5582, 505, 365, 5582, 506, 489, 476, 5582, 505, 366, 5582, 506, 490, 476, 5582, 505, 368, 5582, 506, 492, 5582, 506, 491, 476, 5582, 505, 369, 5582, 506, 493, 476, 5582, 505, 370, 5582, 506, 494, 476, 5582, 505, 371, 5582, 506, 503, 5582, 506, 495, 476, 5582, 505, 372, 5582, 506, 496, 476, 5582, 505, 373, 5582, 506, 497, 476, 5582, 505, 374, 5582, 506, 498, 0, 258, 7726, 281, 1548, 1772, 18103, 1400, 1656, 7151, 2496, 1012, 1548, 616, 1806, 540, 3921, 1400, 4632, 2496, 14300, 540, 3921, 1400, 4632, 1331, 281, 8739, 2804, 4567, 12462, 869, 4747, 892, 2223, 332, 1497, 4747, 892, 2223, 14683, 4747, 25257, 2069, 1377, 12462, 14683, 1153, 892, 2223, 7034, 892, 2223, 5960, 892, 2223, 4942, 291, 25257, 4747, 1377, 12462, 1652, 982, 476, 2004, 298, 5608, 968, 2004, 298, 268, 1911, 298, 5608, 968, 1478, 476, 1911, 298, 25257, 9547, 12773, 12462, 2169, 3153, 569, 771, 3697, 5608, 968, 4134, 3697, 5608, 968, 928, 23018, 5608, 968, 3697, 5608, 968, 2169, 3153, 569, 899, 26158, 780, 1012, 1548, 3921, 1400, 1797, 2496, 272, 2433, 513, 1297, 1374, 908, 519, 1747, 630, 7945, 607, 1101, 267, 2034, 267, 610, 3791, 264, 13026, 676, 606, 6221, 538, 606, 10288, 5311, 2443, 1294, 7305, 540, 10606, 269, 476, 273, 2433, 513, 1297, 8655, 547, 606, 10288, 1305, 602, 1374, 919, 1312, 519, 1931, 540, 922, 2609, 543, 922, 29039, 1297, 780, 1012, 1548, 568, 22194, 543, 3921, 1400, 1239, 2496, 301 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 634, 14238, 2645, 1031, 547, 2149, 1344, 1331, 2048, 305, 6347, 9957, 6904, 568, 2015, 519, 16999, 13104, 267, 855, 513, 7061, 2780, 666, 23309, 621, 1932, 269, 17747, 2029, 666, 1439, 9734, 519, 3354, 540, 1022, 2197, 269, 901, 949, 849, 2333, 519, 1981, 540, 14804, 1344, 540, 824, 2477, 1373, 21556, 269, 3013, 779, 2817, 8232, 10837, 630, 301, 6347, 264, 6499, 547, 1711, 513, 7061, 2780, 602, 666, 23309, 782, 2010, 540, 1958, 787, 6877, 1031, 547, 2149, 12948, 267, 2564, 267, 1870, 543, 824, 2229, 5638, 6740, 538, 5904, 1472, 519, 1158, 563, 19328, 19330, 7482, 585, 1382, 543, 1646, 538, 519, 2361, 540, 7061, 7384, 269, 1656, 713, 1966, 3587, 811, 3978, 950, 3592, 513, 10116, 540, 3127, 779, 2551, 1869, 2729, 2630, 519, 6710, 1899, 269, 2368, 3744, 616, 6236, 7061, 5904, 607, 4625, 2922, 5904, 269, 4935, 267, 621, 568, 2312, 602, 7061, 7384, 786, 581, 1360, 5363, 538, 7863, 610, 2542, 6213, 1344, 538, 519, 2104, 269, 1656, 1585, 3096, 540, 7061, 5904, 616, 2009, 585, 3744, 269, 0, 5629, 519, 1216, 568, 693, 513, 12902, 14974, 267, 2490, 1055, 519, 3002, 543, 3382, 519, 1494, 609, 519, 19984, 269, 14190, 519, 5798, 547, 1694, 538, 519, 3905, 1216, 585, 519, 1739, 2053, 2687, 547, 519, 5551, 1810, 8864, 281, 476, 274, 3764, 585, 14298, 10499, 23017, 282, 476, 277, 3764, 585, 32212, 296, 9331, 23017, 282, 476, 1321, 3764, 585, 670, 19181, 23017, 269, 16259, 513, 12826, 540, 4672, 1216, 563, 1692, 1279, 1058, 476, 276, 5798, 14974, 888, 289, 11798, 585, 476, 277, 1107, 476, 278, 3764, 936, 5420, 30041, 3002, 585, 3501, 2182, 23017, 5798, 269, 4635, 513, 18921, 1540, 22635, 267, 4483, 873, 547, 513, 1804, 12826, 540, 4672, 1216, 543, 1577, 873, 3579, 585, 513, 1906, 3764, 269, 2107, 596, 666, 1747, 873, 896, 3579, 4881, 1216, 547, 3247, 519, 5986, 269, 901, 786, 849, 948, 519, 5798, 22019, 3362, 563, 1692, 1279, 786, 621, 1491, 547, 14974, 3670, 5798, 888, 21607, 3670, 1804, 5798, 538, 513, 5420, 2450, 14036, 3966, 543, 1039, 2614, 1216, 2394, 789, 616, 4988, 676, 827, 835, 10759, 540, 1216, 269, 20780, 519, 1216, 547, 513, 14974, 936, 5420, 3002, 269, 3973, 267, 1305, 519, 22245, 543, 14974, 519, 5798, 585, 476, 1015, 3764, 563, 1692, 1279, 1281, 621, 1491, 547, 14974, 5798, 888, 20278, 5798, 538, 513, 5420, 1494, 543, 3382, 609, 4411, 1216, 676, 476, 272, 10759, 269, 20780, 547, 513, 14974, 267, 1287, 3382, 519, 1494, 543, 2490, 519, 3002, 1055, 269, 2913, 519, 5798, 3434, 267, 4988, 267, 585, 476, 280, 547, 476, 1321, 3764, 267, 4470, 593, 707, 5551, 2944, 268, 1145, 630, 5408, 8666, 1916, 4692, 596, 936, 14974, 606, 4212, 888, 2252, 596, 14974, 606, 4212, 585, 2947, 610, 476, 1015, 3764, 267, 621, 3587, 6109, 543, 11273, 269, 1403, 596, 14974, 621, 585, 3108, 267, 621, 3587, 12285, 344, 543, 22848, 10541, 269, 2560, 5901, 14495, 519, 4212, 543, 519, 5946, 3136, 547, 1106, 3444, 2000, 3855, 267, 1818, 519, 4212, 1256, 811, 6109, 543, 12285, 344, 563, 1692, 798, 596, 2995, 952, 606, 4212, 568, 23017, 1510, 8840, 621, 888, 31738, 281, 3807, 1747, 519, 4212, 593, 513, 2182, 2627, 267, 899, 519, 4831, 267, 543, 8095, 621, 899, 513, 1283, 269, 1306, 621, 779, 18343, 267, 10544, 621, 609, 707, 11263, 2479, 27940, 1532, 4361, 569, 543, 5612, 1577, 979, 269, 1403, 621, 8952, 18343, 267, 621, 779, 6151, 269, 1403, 621, 13515, 4666, 267, 621, 779, 23017, 563, 2710, 596, 14974, 5798, 4988, 610, 20114, 888, 21607, 5798, 883, 513, 476, 272, 6709, 691, 14036, 3966, 267, 1287, 1039, 2614, 4411, 1216, 547, 3382, 873, 676, 476, 272, 270, 273, 10759, 269, 20780, 1216, 547, 513, 14974, 936, 1164, 3002, 267, 1287, 2569, 3002, 547, 26815, 1164, 543, 3434, 5798, 693, 513, 9543, 14974, 267, 20114, 267, 476, 1015, 3764, 269, 32449, 1055, 3905, 1216, 563, 1692, 798, 596, 917, 950, 23017, 5798, 616, 2944, 888, 305, 2544, 1948, 272, 281, 5213, 1406, 1175, 12235, 4411, 5798, 883, 14495, 1216, 2336, 1607, 2636, 585, 513, 16795, 267, 1256, 3434, 602, 11224, 519, 3501, 2182, 28967, 6150, 4212, 269, 1411, 3580, 917, 602, 707, 4212, 568, 9985, 11273, 952, 621, 814, 606, 32630, 267, 5835, 4099, 269, 634, 586, 13083, 540, 606, 22848, 10541, 4212, 267, 593, 519, 824, 1688, 267, 786, 2490, 513, 3039, 880, 3766, 2001, 2681, 563, 1692, 1279, 1281, 621, 1491, 547, 14974, 513, 5420, 21092, 4212, 888, 2704, 869, 1614, 543, 513, 3368, 3764, 585, 513, 5420, 13355, 4212, 543, 2185, 3764, 585, 513, 1804, 4212, 269, 634, 586, 13083, 786, 581, 2196, 5500, 543, 519, 3043, 1175, 1305, 269, 13648, 585, 513, 2417, 8792, 952, 596, 899, 707, 2571, 23017, 5798, 513, 2370, 535, 597, 1067, 563, 1692, 798, 594, 14974, 5798, 585, 14914, 5798, 888, 2414, 14974, 5798, 267, 596, 3580, 991, 513, 14036, 3966, 267, 1216, 267, 543, 5798, 269, 9255, 519, 5798, 538, 519, 14036, 3966, 543, 3382, 609, 1216, 269, 20780, 547, 513, 12902, 14974, 936, 5420, 3002, 267, 543, 1287, 4894, 519, 14036, 3966, 689, 519, 23041, 269, 2913, 519, 5798, 1694, 585, 476, 1015, 268, 1428, 3764, 267, 543, 1287, 21477, 613, 873, 538, 3579, 1216, 547, 26699, 519, 5986, 1184, 563, 1692, 1279, 1281, 621, 1491, 547, 14974, 476, 274, 5798, 888, 21607, 519, 1494, 936, 1164, 3002, 543, 3142, 547, 513, 14974, 269, 4495, 519, 1216, 568, 693, 513, 12902, 14974, 267, 2490, 1055, 519, 3002, 543, 3382, 519, 1494, 609, 519, 19984, 269, 14190, 519, 5798, 547, 1694, 538, 519, 3905, 1216, 585, 519, 1739, 2053, 2687, 547, 519, 5551, 1810, 8864, 281, 476, 274, 3764, 585, 14298, 10499, 23017, 282, 476, 277, 3764, 585, 32212, 296, 9331, 23017, 282, 476, 1321, 3764, 585, 670, 19181, 23017, 563, 1692, 798, 596, 14974, 513, 4212, 888, 268, 15147, 519, 5798, 538, 513, 14036, 3966, 609, 1216, 269, 6693, 268, 14333, 519, 1494, 593, 1164, 3002, 543, 3142, 519, 1216, 547, 513, 2407, 12902, 14974, 269, 6693, 268, 12414, 1055, 519, 3002, 267, 1832, 519, 3443, 593, 519, 3905, 6633, 518, 267, 3382, 267, 543, 1577, 1694, 585, 476, 1015, 268, 1321, 3764, 563, 3674, 476, 736, 3764, 1932, 1279, 547, 14974, 5798, 888, 5475, 476, 1704, 610, 476, 736, 3764, 630, 24119, 2056, 593, 2450, 540, 707, 5798, 1070, 4894, 19984, 543, 8963, 1055, 1216, 689, 519, 5798, 269, 13772, 519, 942, 950, 5986, 519, 5798, 5402, 269, 3683, 322, 8504, 3123, 513, 3039, 4494, 547, 1106, 1472, 519, 586, 13083, 269, 901, 4494, 568, 3361, 676, 513, 5114, 1063, 519, 4401, 538, 519, 586, 13083, 543, 519, 16247, 538, 519, 3043, 563, 2710, 5798, 1118, 579, 17439, 888, 6944, 9009, 547, 2442, 3661, 267, 5798, 1810, 1406, 1118, 1034, 540, 721, 17439, 269, 1809, 789, 798, 2270, 20962, 584, 1790, 17977, 8715, 542, 710, 269, 1924, 952, 596, 1810, 1406, 1616, 1159, 11481, 535, 11301, 267, 1810, 1406, 3548, 5798, 7258, 17439, 27351, 6748, 3536, 971, 607, 10365, 610, 9761, 16469, 269, 1403, 5798, 1118, 596, 11376, 730, 543, 2285, 596, 2842, 267, 596, 949, 581, 703, 26985, 547, 873, 610, 723, 606, 14711, 563, 4692, 596, 2661, 593, 1175, 5798, 888, 32546, 1869, 18973, 1004, 547, 3970, 8501, 543, 2226, 513, 1072, 995, 4189, 4806, 269, 3117, 11167, 5097, 5798, 568, 711, 2808, 513, 1072, 995, 4189, 4806, 267, 543, 4966, 798, 711, 4363, 621, 267, 607, 713, 2732, 1131, 3970, 513, 1268, 779, 8770, 6981, 543, 1223, 2014, 824, 1072, 2152, 269, 0, 289, 28496, 31843, 4065, 3590, 568, 519, 1158, 779, 11097, 652, 2039, 540, 2069, 12545, 267, 899, 519, 3557, 8274, 267, 6239, 8274, 540, 18520, 4065, 267, 717, 584, 4157, 592, 600, 8274, 267, 595, 3041, 4753, 267, 19436, 267, 8136, 8274, 267, 543, 1082, 811, 269, 4139, 3506, 1683, 3486, 2069, 12545, 609, 7907, 267, 1114, 2010, 540, 3450, 2853, 267, 543, 1082, 811, 563, 2080, 538, 3127, 267, 972, 568, 513, 1360, 1271, 2243, 538, 1169, 2875, 779, 2247, 267, 543, 621, 4249, 513, 2101, 1909, 538, 741, 2104, 1353, 1544, 269, 4107, 569, 267, 6140, 713, 1900, 4249, 513, 1360, 1271, 1909, 538, 938, 2898, 1272, 540, 2069, 281, 799, 6908, 568, 1655, 547, 3442, 1310, 476, 1015, 628, 3446, 286, 2201, 519, 2898, 1888, 540, 968, 7617, 6908, 568, 1655, 547, 3442, 1310, 476, 1015, 628, 2223, 649, 786, 1865, 1739, 782, 1919, 267, 899, 1018, 1058, 649, 1544, 1354, 7446, 938, 6908, 693, 476, 1556, 628, 3446, 286, 1215, 666, 649, 2824, 519, 1655, 6908, 585, 938, 2898, 2069, 4876, 888, 7617, 20837, 1772, 7454, 1677, 7994, 2991, 476, 1015, 628, 454, 763, 13225, 691, 12011, 4065, 3590, 568, 5258, 883, 519, 1739, 3268, 540, 519, 2208, 540, 519, 2069, 4876, 540, 1053, 267, 543, 602, 5205, 899, 713, 281, 2776, 6261, 3234, 776, 4065, 267, 12729, 4065, 267, 5664, 3427, 267, 4400, 3427, 267, 14451, 18520, 3427, 267, 13983, 3027, 566, 267, 543, 1287, 5403, 8566, 571, 706, 566, 267, 1912, 323, 267, 543, 5403, 5937, 665, 269, 1924, 713, 568, 519, 2757, 1259, 540, 938, 4095, 2069, 1062, 269, 2201, 713, 1062, 267, 930, 1004, 2161, 602, 621, 568, 711, 1434, 267, 543, 930, 849, 2161, 602, 621, 568, 519, 1655, 1259, 540, 3450, 543, 1565, 269, 2368, 849, 3786, 621, 689, 519, 1977, 4065, 3590, 543, 519, 16528, 4065, 3590, 269, 1809, 938, 4095, 2069, 1062, 568, 849, 6721, 519, 1158, 779, 1655, 3401, 267, 899, 5616, 16628, 9530, 541, 623, 747, 2967, 267, 9786, 16628, 9045, 5984, 24385, 11253, 267, 543, 1022, 811, 14789, 538, 519, 1158, 563, 1103, 519, 2898, 1184, 540, 2069, 267, 519, 1292, 2243, 568, 585, 1169, 1647, 268, 543, 1164, 11665, 2875, 281, 968, 7617, 20837, 1772, 7454, 1677, 7994, 2991, 476, 1015, 628, 892, 1280, 713, 2243, 267, 1577, 779, 1174, 519, 4267, 547, 2055, 602, 2097, 547, 2247, 1354, 713, 267, 899, 1018, 798, 596, 1616, 547, 1831, 538, 707, 1272, 267, 899, 606, 11653, 267, 10196, 267, 4387, 267, 1970, 344, 541, 267, 610, 3540, 22700, 269, 1870, 2006, 267, 16724, 267, 610, 7678, 532, 1514, 2923, 4623, 1356, 563, 5475, 8391, 519, 4267, 547, 891, 2055, 267, 649, 666, 3274, 6430, 799, 2619, 649, 1616, 547, 1491, 543, 1018, 649, 1616, 547, 798, 609, 938, 1272, 269, 2991, 1565, 519, 2626, 547, 938, 1101, 14374, 267, 649, 666, 11654, 11678, 538, 6128, 267, 6323, 267, 7350, 267, 1870, 267, 543, 519, 6575, 269, 543, 786, 581, 2111, 547, 3442, 799, 6908, 568, 1655, 547, 3442, 1310, 476, 1015, 628, 454, 8368, 540, 12937, 454, 7617, 20837, 568, 7454, 547, 7994, 2991, 476, 1015, 628, 630, 1805, 3195, 2271, 549, 782, 12467, 4131, 779, 3717, 827, 519, 1082, 1761, 10092, 3015, 538, 519, 476, 1556, 628, 3446, 269, 3776, 2362, 2069, 1062, 814, 2185, 13475, 585, 713, 281, 7193, 300, 630, 30125, 267, 11061, 267, 543, 9119, 1070, 20111, 630, 30125, 267, 11061, 267, 543, 10334, 1070, 2155, 775, 267, 543, 8551, 563, 4322, 616, 519, 1883, 12535, 602, 649, 1590, 4584, 585, 938, 4081, 4876, 1310, 476, 1015, 628, 3446, 269, 1703, 616, 849, 1082, 824, 12535, 602, 616, 4867, 7680, 4028, 2208, 267, 971, 607, 1346, 538, 2029, 267, 971, 607, 1514, 2923, 15888, 610, 1543, 15888, 267, 9367, 267, 543, 9952, 10986, 538, 519, 2361, 540, 9913, 267, 971, 607, 3381, 11049, 267, 8642, 9858, 267, 3896, 9858, 267, 1543, 15888, 267, 2671, 6725, 12665, 267, 543, 1082, 811, 563, 13510, 9005, 7454, 12409, 20837, 1310, 476, 1015, 628, 454, 8245, 2952, 2322, 267, 649, 616, 1565, 602, 972, 616, 1585, 4610, 824, 982, 3537, 30937, 269, 1306, 513, 1267, 267, 1142, 2875, 814, 513, 3982, 1719, 538, 519, 4287, 646, 610, 1352, 1616, 547, 979, 538, 1272, 269, 589, 2241, 1259, 585, 8159, 519, 19993, 6908, 585, 3054, 568, 1403, 596, 1616, 547, 979, 883, 519, 2930, 610, 4702, 2361, 267, 596, 666, 1353, 803, 23298, 16361, 282, 952, 596, 1616, 547, 979, 883, 519, 2564, 2361, 267, 596, 666, 1353, 20111, 282, 952, 596, 1616, 547, 979, 883, 519, 1870, 543, 2359, 2361, 267, 596, 666, 1353, 16450, 282, 543, 952, 596, 1616, 547, 979, 883, 1514, 2533, 543, 3540, 2533, 267, 596, 666, 1353, 6575, 563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 19613, 281, 3127, 454, 294, 5183, 281, 476, 274, 269, 11025, 454, 2252, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 1496, 258, 21529, 2639, 272, 454, 9349, 12201, 454, 335, 743, 1177, 784, 5206, 912, 14269, 802, 1240, 5206, 912, 289, 684, 3241, 5206, 912, 2252, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 3108, 513, 1554, 267, 875, 1082, 2367, 2324, 609, 476, 277, 2021, 543, 476, 273, 8695, 1131, 621, 1491, 547, 798, 513, 2816, 2185, 2053, 607, 2462, 2324, 585, 476, 276, 3108, 513, 1554, 585, 476, 1321, 2395, 2496, 288, 269, 476, 4510, 454, 289, 269, 476, 2004, 454, 290, 269, 476, 6344, 454, 291, 269, 476, 14338, 454, 292, 269, 476, 12553, 692, 736, 2367, 960, 585, 476, 1321, 2395, 585, 476, 279, 3108, 547, 798, 513, 2816, 454, 810, 1297, 540, 2367, 2838, 547, 2347, 519, 960, 538, 476, 1321, 2395, 2324, 476, 276, 3108, 815, 630, 736, 265, 279, 8358, 276, 815, 3953, 454, 553, 519, 960, 568, 476, 275, 2053, 607, 2462, 607, 519, 3105, 835, 267, 865, 1100, 540, 2367, 2838, 786, 581, 815, 476, 275, 265, 3953, 815, 476, 12553, 454, 5591, 649, 2907, 723, 476, 277, 2021, 543, 476, 273, 8695, 269, 649, 991, 547, 6460, 873, 547, 2367, 547, 1265, 519, 6967, 1100, 540, 2367, 2838, 692, 2190, 310, 284, 736, 300, 267, 610, 476, 277, 310, 14352, 736, 265, 277, 8358, 2190, 815, 476, 276, 9093, 692, 2412, 289, 284, 736, 300, 267, 610, 476, 273, 289, 815, 630, 736, 265, 273, 8358, 2412, 815, 476, 272, 9093, 692, 3383, 1297, 540, 2367, 2838, 815, 476, 12553, 24179, 276, 266, 272, 264, 815, 476, 14338, 692, 29682, 667, 692, 1607, 3070, 568, 2110, 543, 2312, 10756, 296, 993, 3843, 547, 4137, 856, 875, 630, 736, 265, 279, 8358, 276, 815, 3953, 10756, 3674, 972, 513, 4542, 585, 713, 2496, 17098, 533, 743, 1177, 784, 454, 553, 476, 1321, 2395, 616, 3586, 585, 1312, 519, 7653, 267, 1577, 781, 711, 1589, 827, 621, 563, 736, 2367, 1491, 476, 279, 3108, 547, 2347, 519, 2816, 454, 5591, 540, 2367, 2838, 952, 960, 568, 2944, 1152, 585, 476, 272, 5662, 513, 1554, 815, 476, 279, 265, 736, 2367, 263, 3467, 2367, 607, 3108, 5249, 616, 1447, 994, 5591, 540, 2367, 2838, 952, 960, 568, 2944, 585, 476, 276, 3108, 513, 1554, 815, 630, 279, 265, 736, 8358, 276, 630, 1652, 2367, 2838, 1631, 994, 306, 29262, 454, 16274, 281, 476, 2918, 3057, 476, 1001, 274, 454, 15803, 281, 476, 25090, 277, 454, 302, 1233, 918, 16997, 19560, 476, 15793, 280, 1496, 271, 2639, 11693, 918, 16997, 281, 476, 5038, 272, 454, 3519, 1417, 1674, 281, 15051, 267, 15613, 454, 18662, 338, 281, 661, 6652, 16443, 630, 2862, 994, 3725, 281, 1403, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 1496, 258, 21529, 2639, 335, 743, 1177, 784, 5206, 912, 14269, 802, 1240, 5206, 912, 289, 684, 3241, 5206, 912, 2252, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 3108, 513, 1554, 267, 875, 1082, 2367, 2324, 609, 476, 277, 2021, 543, 476, 273, 8695, 1131, 621, 1491, 547, 798, 513, 2816, 2185, 2053, 607, 2462, 2324, 585, 476, 276, 3108, 513, 1554, 585, 476, 1321, 2395, 2496, 288, 269, 476, 4510, 454, 289, 269, 476, 2004, 454, 290, 269, 476, 6344, 454, 291, 269, 476, 14338, 454, 292, 269, 476, 12553, 692, 736, 2367, 960, 585, 476, 1321, 2395, 585, 476, 279, 3108, 547, 798, 513, 2816, 454, 810, 1297, 540, 2367, 2838, 547, 2347, 519, 960, 538, 476, 1321, 2395, 2324, 476, 276, 3108, 815, 630, 736, 265, 279, 8358, 276, 815, 3953, 454, 553, 519, 960, 568, 476, 275, 2053, 607, 2462, 607, 519, 3105, 835, 267, 865, 1100, 540, 2367, 2838, 786, 581, 815, 476, 275, 265, 3953, 815, 476, 12553, 454, 5591, 649, 2907, 723, 476, 277, 2021, 543, 476, 273, 8695, 269, 649, 991, 547, 6460, 873, 547, 2367, 547, 1265, 519, 6967, 1100, 540, 2367, 2838, 692, 2190, 310, 284, 736, 300, 267, 610, 476, 277, 310, 14352, 736, 265, 277, 8358, 2190, 815, 476, 276, 9093, 692, 2412, 289, 284, 736, 300, 267, 610, 476, 273, 289, 815, 630, 736, 265, 273, 8358, 2412, 815, 476, 272, 9093, 692, 3383, 1297, 540, 2367, 2838, 815, 476, 12553, 24179, 276, 266, 272, 264, 815, 476, 14338, 692, 29682, 667, 692, 1607, 3070, 568, 2110, 543, 2312, 10756, 296, 993, 3843, 547, 4137, 856, 875, 630, 736, 265, 279, 8358, 276, 815, 3953, 10756, 3674, 972, 513, 4542, 585, 713, 2496, 763, 3070, 1657, 11710, 689, 519, 9238, 692, 13480, 815, 1297, 540, 4074, 2608, 15580, 2608, 5384, 692, 10303, 621, 568, 1482, 960, 692, 310, 272, 815, 654, 273, 692, 333, 272, 2608, 681, 272, 2608, 570, 272, 815, 562, 273, 2608, 681, 273, 2608, 570, 273, 630, 538, 713, 2013, 267, 681, 272, 815, 681, 273, 267, 865, 22599, 856, 607, 1142, 812, 723, 1482, 2557, 2020, 333, 272, 2608, 570, 272, 815, 562, 273, 2608, 570, 273, 692, 5804, 2367, 781, 960, 2338, 267, 4019, 538, 3830, 1657, 692, 736, 2608, 476, 279, 2608, 476, 1321, 815, 562, 273, 2608, 476, 276, 2608, 476, 1321, 692, 333, 273, 815, 476, 736, 2608, 476, 279, 1315, 476, 276, 476, 5541, 2807, 1862, 338, 877, 1267, 607, 4330, 538, 3105, 2022, 780, 296, 4126, 621, 2337, 454, 307, 13759, 4530, 16721, 11724, 894, 454, 16274, 281, 476, 1691, 4239, 476, 1001, 276, 454, 1805, 9850, 281, 293, 10133, 1299, 16628, 454, 288, 742, 8270, 725, 281, 27010, 4530, 16721, 454, 15803, 281, 476, 4489, 1789, 454, 302, 1233, 918, 16997, 19560, 476, 26297, 736, 1496, 273, 2639, 11693, 918, 16997, 281, 476, 30525, 454, 19613, 281, 2136, 2276, 630, 7563, 994, 3725, 281, 1403, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 1496, 258, 21529, 2639, 273, 454, 20132, 454, 289, 684, 3241, 5206, 912, 2252, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 3108, 513, 1554, 267, 875, 1082, 2367, 2324, 609, 476, 277, 2021, 543, 476, 273, 8695, 1131, 621, 1491, 547, 798, 513, 2816, 2185, 2053, 607, 2462, 2324, 585, 476, 276, 3108, 513, 1554, 585, 476, 1321, 2395, 2496, 288, 269, 476, 4510, 454, 289, 269, 476, 2004, 454, 290, 269, 476, 6344, 454, 291, 269, 476, 14338, 454, 292, 269, 476, 12553, 692, 2171, 666, 1577, 519, 2816, 815, 476, 272, 267, 543, 649, 616, 2016, 602, 519, 2816, 666, 581, 6192, 538, 476, 1321, 1535, 476, 279, 815, 476, 9834, 3108, 676, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 269, 2913, 779, 3313, 519, 2557, 540, 476, 272, 812, 829, 5662, 267, 799, 568, 630, 272, 270, 736, 8358, 9834, 815, 476, 272, 14370, 736, 1535, 476, 9834, 1040, 6684, 267, 519, 2557, 540, 476, 272, 4807, 829, 5662, 568, 630, 272, 270, 2190, 8358, 9834, 815, 476, 272, 14370, 2190, 1535, 476, 9834, 264, 543, 519, 2557, 540, 476, 272, 7911, 829, 5662, 568, 630, 272, 270, 2412, 8358, 9834, 815, 476, 272, 14370, 2412, 1535, 476, 9834, 6393, 3086, 649, 616, 2016, 602, 1776, 2816, 568, 2185, 2053, 607, 2462, 267, 543, 3976, 713, 1007, 2816, 815, 476, 275, 269, 1284, 849, 616, 2016, 602, 476, 277, 2021, 267, 476, 273, 8695, 267, 543, 930, 1297, 540, 2367, 786, 581, 2324, 593, 713, 2816, 585, 476, 276, 1535, 476, 1321, 815, 476, 2568, 3108, 269, 1284, 991, 547, 3313, 519, 1297, 540, 2367, 2877, 269, 1284, 666, 1577, 519, 1297, 540, 2367, 2877, 815, 562, 543, 1711, 519, 1739, 3830, 1384, 277, 2608, 476, 272, 14370, 2190, 1535, 476, 9834, 264, 2608, 476, 2568, 1341, 476, 273, 2608, 476, 272, 14370, 2412, 1535, 476, 9834, 264, 2608, 476, 2568, 1341, 562, 2608, 476, 272, 14370, 736, 1535, 476, 9834, 264, 2608, 476, 2568, 815, 476, 275, 692, 11740, 14370, 2190, 1535, 476, 9834, 264, 1341, 476, 6344, 14370, 2412, 1535, 476, 9834, 264, 1341, 476, 2568, 333, 14370, 736, 1535, 476, 9834, 264, 815, 476, 275, 692, 11372, 28745, 519, 3003, 3830, 676, 476, 9834, 267, 649, 723, 1384, 11740, 270, 2190, 1341, 476, 6344, 270, 2412, 1341, 476, 2568, 333, 270, 736, 815, 476, 29575, 692, 1428, 1341, 476, 274, 1341, 476, 274, 333, 815, 476, 29575, 692, 274, 333, 815, 476, 3607, 277, 692, 333, 815, 476, 14338, 692, 12421, 454, 16274, 281, 476, 2641, 9484, 476, 1001, 277, 454, 15803, 281, 476, 736, 454, 302, 1233, 918, 16997, 19560, 476, 1704, 1496, 272, 2639, 11693, 918, 16997, 281, 476, 28360, 454, 3725, 281, 1403, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 1496, 258, 21529, 2639, 272, 454, 20132, 454, 289, 684, 3241, 5206, 912, 2252, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 3108, 513, 1554, 267, 875, 1082, 2367, 2324, 609, 476, 277, 2021, 543, 476, 273, 8695, 1131, 621, 1491, 547, 798, 513, 2816, 2185, 2053, 607, 2462, 2324, 585, 476, 276, 3108, 513, 1554, 585, 476, 1321, 2395, 2496, 288, 269, 476, 4510, 454, 289, 269, 476, 2004, 454, 290, 269, 476, 6344, 454, 291, 269, 476, 14338, 454, 292, 269, 476, 12553, 692, 2171, 917, 519, 3232, 2557, 540, 1384, 288, 264, 2494, 568, 476, 272, 14370, 736, 265, 1321, 265, 279, 264, 815, 476, 272, 270, 4572, 271, 454, 289, 264, 19716, 568, 476, 272, 270, 15996, 275, 454, 290, 264, 15196, 568, 476, 272, 270, 29575, 271, 692, 3383, 267, 476, 272, 812, 11224, 547, 476, 273, 8695, 543, 476, 277, 2021, 3132, 607, 1454, 607, 476, 276, 2367, 780, 3383, 267, 649, 1616, 547, 917, 875, 1082, 2367, 1058, 649, 1039, 547, 519, 476, 277, 2367, 630, 277, 2021, 7132, 476, 273, 8695, 6393, 3086, 267, 649, 917, 602, 476, 736, 2367, 991, 547, 960, 476, 4572, 271, 3108, 547, 2347, 835, 2816, 267, 2324, 476, 279, 327, 27473, 585, 476, 1321, 2395, 780, 7712, 519, 2034, 2816, 568, 476, 275, 2053, 607, 2462, 607, 519, 1101, 835, 267, 621, 786, 991, 476, 4572, 271, 265, 275, 815, 476, 278, 6924, 271, 3108, 689, 2367, 780, 3383, 267, 649, 1058, 7941, 602, 2179, 540, 3108, 829, 476, 2568, 3108, 630, 1492, 2179, 540, 3108, 1142, 1268, 666, 960, 538, 519, 2034, 2816, 267, 607, 538, 267, 476, 276, 327, 27473, 1535, 476, 1321, 2395, 6393, 2171, 3513, 723, 281, 476, 278, 6924, 271, 270, 2568, 815, 476, 12553, 2367, 780, 3383, 267, 649, 991, 476, 12553, 2367, 538, 2698, 269, 1809, 2094, 649, 2907, 723, 476, 277, 2021, 543, 476, 273, 8695, 2907, 2324, 630, 528, 476, 277, 2367, 1070, 972, 786, 581, 476, 12553, 268, 14338, 2367, 2324, 7258, 873, 563, 4753, 302, 454, 16274, 281, 476, 2918, 4924, 476, 1001, 277, 454, 15803, 281, 476, 30525, 276, 454, 302, 1233, 918, 16997, 19560, 476, 30019, 275, 1496, 271, 2639, 11693, 918, 16997, 281, 476, 5325, 454, 19613, 281, 3127, 454, 294, 5183, 281, 476, 274, 269, 1321, 454, 3725, 281, 1403, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 1496, 258, 21529, 2639, 289, 684, 3241, 5206, 912, 2252, 476, 736, 2367, 610, 476, 2190, 2021, 610, 476, 2412, 8695, 666, 798, 513, 2816, 538, 476, 1321, 2395, 2324, 585, 476, 279, 3108, 513, 1554, 267, 875, 1082, 2367, 2324, 609, 476, 277, 2021, 543, 476, 273, 8695, 1131, 621, 1491, 547, 798, 513, 2816, 2185, 2053, 607, 2462, 2324, 585, 476, 276, 3108, 513, 1554, 585, 476, 1321, 2395, 2496, 288, 269, 476, 4510, 454, 289, 269, 476, 2004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 625, 666, 1831, 7783, 538, 14685, 334, 610, 16172, 1310, 4332, 269, 634, 17594, 540, 15495, 1310, 519, 946, 540, 606, 1492, 27476, 842, 923, 568, 711, 1272, 17489, 267, 1317, 936, 942, 267, 556, 19899, 1254, 949, 2049, 543, 1007, 15495, 786, 2408, 538, 519, 1560, 540, 519, 3662, 563, 763, 12674, 2962, 22262, 519, 2915, 779, 4761, 1062, 269, 1403, 8290, 610, 4551, 4283, 519, 1560, 540, 513, 21937, 945, 814, 711, 4607, 519, 6669, 267, 1287, 789, 786, 2014, 513, 2068, 1354, 519, 1560, 814, 942, 547, 1020, 519, 12489, 2556, 547, 4339, 873, 269, 1452, 3676, 616, 1419, 14603, 269, 2290, 1259, 610, 1776, 267, 855, 621, 568, 2556, 21237, 630, 527, 5673, 593, 519, 8653, 540, 519, 6669, 264, 547, 798, 7368, 25750, 2394, 2025, 2085, 269, 3509, 5411, 1265, 621, 11991, 547, 3945, 3729, 2937, 5243, 269, 901, 568, 4636, 267, 1317, 519, 1981, 540, 3968, 26251, 693, 1022, 2085, 563, 6624, 7189, 543, 4810, 2915, 9742, 619, 8044, 281, 799, 10074, 616, 1732, 910, 6469, 610, 16865, 269, 898, 568, 5156, 602, 6739, 10074, 616, 1732, 9862, 547, 2199, 2175, 269, 2201, 519, 824, 1688, 267, 16865, 25750, 616, 2356, 4443, 547, 4163, 676, 519, 2915, 543, 798, 711, 2014, 2427, 2360, 269, 1924, 2484, 267, 1100, 3621, 21533, 814, 1044, 4607, 281, 945, 568, 1869, 1318, 286, 1306, 606, 1383, 267, 649, 666, 2161, 602, 519, 20575, 3644, 568, 3833, 24267, 282, 10074, 616, 3812, 782, 936, 519, 1158, 593, 519, 4493, 540, 519, 1482, 8833, 540, 519, 3644, 563, 6097, 547, 7422, 540, 29067, 4535, 538, 938, 8630, 267, 649, 3357, 547, 519, 3932, 602, 1312, 2010, 540, 25750, 616, 7109, 730, 3833, 3362, 267, 1510, 2427, 2360, 543, 2149, 519, 2915, 3833, 1134, 689, 11763, 3676, 563, 8170, 519, 1034, 2442, 16865, 10074, 547, 4266, 267, 649, 666, 4363, 596, 968, 301, 984, 643, 752, 5608, 968, 309, 836, 731, 5608, 968, 295, 1410, 611, 690, 6100, 21298, 267, 649, 4121, 602, 968, 295, 1410, 611, 690, 892, 729, 6444, 607, 711, 513, 1434, 2614, 3075, 267, 543, 621, 568, 17049, 538, 1896, 2477, 269, 1677, 1265, 856, 2436, 713, 568, 865, 267, 649, 5828, 547, 519, 4972, 540, 18293, 3557, 9142, 540, 27259, 6925, 267, 16362, 540, 18143, 7070, 267, 7905, 715, 269, 589, 269, 590, 956, 13873, 14150, 269, 2701, 9672, 602, 538, 513, 1297, 540, 32090, 2477, 968, 295, 1410, 611, 690, 892, 568, 711, 2731, 5227, 585, 946, 267, 855, 713, 5949, 17033, 1813, 547, 2344, 9270, 543, 519, 2298, 540, 519, 6669, 814, 4986, 547, 798, 609, 621, 269, 1809, 952, 596, 1869, 30403, 547, 3972, 713, 3075, 267, 1287, 596, 666, 3945, 3729, 519, 2915, 609, 519, 12321, 643, 752, 6669, 267, 799, 568, 606, 1387, 4084, 540, 1261, 343, 611, 690, 563, 19013, 267, 2348, 513, 12674, 1281, 711, 2285, 513, 476, 1911, 260, 10018, 602, 707, 2915, 786, 711, 1205, 7210, 269, 901, 666, 4755, 585, 1082, 4128, 563, 2252, 519, 6669, 568, 540, 4057, 2298, 543, 814, 1163, 1600, 1813, 547, 16789, 4859, 267, 4598, 547, 1932, 1164, 610, 1932, 1970, 2837, 563, 5194, 2601, 949, 581, 4761, 10638, 269, 1280, 1383, 267, 609, 10894, 4713, 267, 4057, 6484, 267, 519, 4527, 540, 513, 1804, 1297, 540, 15495, 543, 12970, 269, 1656, 849, 267, 607, 5018, 1657, 267, 519, 3668, 540, 6089, 5144, 666, 1291, 547, 4761, 10638, 563, 288, 9425, 1455, 2014, 540, 5821, 949, 581, 12674, 540, 519, 21937, 6619, 540, 942, 9138, 538, 519, 7840, 540, 519, 10672, 269, 1656, 849, 952, 556, 8686, 3147, 1588, 814, 711, 1044, 2016, 563, 2414, 1082, 2915, 9742, 619, 267, 519, 2243, 568, 267, 666, 10074, 581, 5906, 585, 513, 2915, 286, 769, 1931, 547, 2057, 1022, 2427, 2360, 540, 12674, 267, 596, 991, 547, 1491, 15416, 1354, 543, 1310, 12674, 269, 17616, 267, 547, 2327, 602, 519, 6669, 568, 711, 5906, 267, 596, 1590, 581, 2386, 602, 519, 21937, 568, 11613, 2635, 269, 5269, 2386, 519, 21937, 814, 1100, 4835, 543, 5007, 15495, 269, 1677, 2057, 606, 13027, 5114, 267, 596, 666, 2285, 930, 4550, 7290, 8533, 267, 971, 607, 2672, 1440, 770, 514, 267, 1896, 3108, 1354, 12674, 269, 17261, 1588, 568, 5227, 593, 606, 8900, 7181, 269, 1684, 711, 11547, 267, 798, 711, 11145, 610, 936, 1740, 519, 21937, 538, 519, 2395, 1354, 12674, 269, 1684, 711, 5397, 1864, 547, 4025, 1141, 5243, 616, 22125, 2394, 693, 2547, 513, 3018, 814, 5293, 2094, 519, 2034, 12674, 630, 11004, 616, 1100, 9993, 593, 6972, 585, 519, 942, 540, 12674, 585, 2937, 2831, 1916, 15919, 513, 2915, 3587, 7783, 543, 3587, 2192, 1256, 1310, 513, 3811, 12674, 267, 855, 7064, 547, 12674, 267, 519, 2068, 666, 1780, 538, 513, 7646, 1106, 269, 634, 3662, 3587, 513, 2370, 29723, 1173, 545, 267, 19385, 14688, 22655, 267, 3092, 269, 901, 1590, 581, 2264, 540, 519, 8227, 543, 267, 1510, 27830, 942, 267, 596, 991, 547, 5077, 513, 4387, 585, 5796, 563, 25802, 1419, 267, 5411, 2307, 281, 568, 29811, 6669, 5906, 286, 3502, 693, 782, 269, 901, 3661, 21256, 1813, 547, 519, 946, 540, 513, 6469, 6669, 602, 3568, 18604, 2661, 29811, 8290, 543, 3006, 3123, 2427, 2360, 269, 1677, 4266, 267, 649, 4363, 1210, 1617, 20884, 10074, 540, 4914, 2504, 267, 799, 267, 607, 513, 4341, 267, 8195, 2149, 1996, 20575, 267, 4283, 4345, 267, 17537, 267, 682, 696, 2214, 10098, 3974, 267, 20722, 21552, 543, 29811, 543, 798, 711, 2014, 2942, 6547, 269, 634, 6669, 568, 13950, 1016, 12827, 24345, 543, 666, 581, 1031, 585, 476, 274, 3923, 2025, 29067, 269, 769, 6240, 267, 952, 707, 2915, 2729, 538, 18293, 610, 538, 513, 1804, 824, 2749, 543, 1281, 711, 2097, 883, 3346, 609, 3552, 2831, 267, 519, 4960, 540, 24931, 29811, 568, 1360, 1507, 269, 1809, 538, 6576, 267, 513, 1804, 8397, 29811, 12674, 1982, 568, 1373, 5645, 856, 267, 543, 4061, 267, 24218, 2154, 513, 15149, 540, 971, 513, 12674, 269, 8307, 519, 16826, 540, 519, 1533, 18915, 16758, 568, 4570, 563, 2252, 596, 616, 3978, 827, 519, 6604, 540, 10194, 5563, 267, 596, 666, 2149, 707, 2915, 689, 5906, 267, 543, 3006, 14603, 267, 3676, 269, 2991, 782, 267, 3025, 6487, 602, 1022, 2068, 568, 4443, 547, 2061, 982, 547, 10826, 563, 1432, 568, 2915, 12674, 888, 309, 3147, 1588, 568, 513, 15324, 5650, 6322, 693, 4227, 519, 1981, 540, 24931, 606, 11763, 2068, 269, 634, 6669, 3294, 568, 513, 18604, 19800, 269, 634, 2915, 781, 1560, 568, 585, 322, 4601, 7783, 609, 513, 1507, 2179, 540, 3968, 267, 865, 621, 5956, 547, 4339, 621, 269, 1656, 267, 538, 519, 1439, 267, 12046, 568, 2919, 563, 2026, 513, 4341, 267, 5243, 616, 18764, 1996, 5563, 971, 607, 23097, 648, 20575, 267, 17537, 267, 20722, 21552, 267, 1612, 341, 21552, 543, 8318, 21552, 5563, 267, 682, 696, 2214, 10098, 3974, 267, 29811, 269, 2353, 891, 3676, 616, 1360, 2352, 585, 2831, 547, 20496, 267, 865, 789, 616, 4443, 547, 2061, 982, 547, 1521, 563, 10111, 11538, 856, 713, 5650, 1281, 711, 23868, 519, 7872, 540, 3968, 540, 1022, 540, 519, 1657, 5563, 267, 855, 18715, 519, 1576, 540, 519, 2068, 538, 513, 7646, 1106, 543, 1510, 8374, 563, 3963, 12674, 543, 952, 621, 568, 2556, 454, 2690, 1082, 2915, 9742, 619, 267, 519, 2243, 540, 519, 991, 585, 25750, 3788, 513, 9814, 269, 2991, 782, 267, 2831, 538, 519, 3552, 798, 1510, 873, 543, 7639, 1360, 1134, 563, 4517, 713, 568, 513, 2462, 31605, 912, 268, 17616, 267, 5243, 616, 2907, 30042, 2831, 543, 741, 12046, 568, 21260, 982, 602, 540, 3552, 2831, 563, 268, 19627, 267, 538, 519, 3552, 267, 519, 1272, 19104, 540, 2831, 568, 1454, 2539, 543, 789, 1419, 5884, 689, 11763, 3676, 563, 268, 1656, 3791, 569, 267, 938, 11537, 2370, 2831, 2661, 711, 538, 519, 4104, 267, 1141, 519, 8594, 540, 3478, 7783, 568, 1454, 2539, 267, 855, 538, 519, 2749, 267, 1141, 972, 616, 513, 2603, 540, 782, 5686, 540, 3114, 543, 2067, 22837, 267, 5739, 5434, 543, 782, 12204, 540, 824, 1919, 269, 1924, 267, 519, 8594, 540, 3478, 7783, 538, 519, 2749, 568, 1454, 2362, 563, 6546, 568, 1946, 519, 991, 585, 12674, 267, 538, 1250, 6644, 267, 568, 3564, 1022, 8969, 269, 1403, 519, 3662, 3587, 2192, 267, 1287, 519, 2126, 786, 581, 1360, 2352, 543, 949, 1256, 1291, 547, 519, 2669, 540, 519, 2915, 269, 4475, 267, 621, 568, 1732, 547, 3945, 3729, 543, 2061, 3968, 982, 547, 4339, 621, 563, 11101, 267, 621, 568, 849, 2556, 547, 3945, 3729, 1346, 2831, 602, 798, 711, 4734, 519, 19887, 267, 2094, 789, 666, 1831, 7783, 1256, 689, 8265, 10887, 610, 519, 9660, 540, 741, 8227, 563, 11039, 267, 952, 596, 616, 2469, 547, 1491, 606, 3662, 609, 596, 593, 2951, 676, 5721, 610, 7077, 267, 1287, 713, 2243, 3622, 7106, 8986, 269, 5047, 267, 538, 519, 8545, 2013, 267, 782, 25750, 2016, 1590, 581, 10630, 538, 519, 18915, 1780, 1636, 543, 14468, 676, 519, 16826, 540, 519, 1533, 18915, 16758, 563, 290, 1195, 6669, 3945, 3729, 513, 2915, 454, 25387, 267, 972, 616, 1082, 10074, 267, 1312, 16865, 543, 6469, 269, 6969, 519, 8227, 540, 519, 2915, 568, 513, 1360, 2352, 3903, 269, 2353, 10074, 616, 2813, 593, 519, 4493, 540, 8290, 7915, 538, 513, 1880, 1858, 563, 763, 1739, 5061, 616, 1034, 5078, 585, 6576, 912, 268, 589, 3122, 542, 667, 295, 13048, 328, 299, 910, 513, 6669, 547, 2149, 5243, 1996, 20575, 267, 20722, 21552, 5563, 267, 1612, 341, 21552, 4283, 4345, 267, 1612, 664, 22381, 27833, 267, 543, 682, 696, 2214, 10098, 3974, 538, 5243, 269, 6576, 563, 268, 4437, 990, 752, 910, 6604, 540, 2915, 3676, 281, 20575, 267, 11763, 17537, 267, 20722, 21552, 267, 1612, 341, 21552, 4283, 4345, 543, 682, 696, 2214, 10098, 3974, 269, 6576, 563, 268, 1261, 343, 659, 534, 643, 659, 910, 6604, 540, 2915, 3676, 281, 23097, 5387, 20575, 267, 11763, 17537, 267, 20722, 21552, 267, 1612, 341, 21552, 4283, 4345, 543, 682, 696, 2214, 10098, 3974, 269, 6576, 563, 268, 5564, 1731, 534, 910, 6604, 540, 20575, 267, 20722, 21552, 5563, 267, 1612, 341, 21552, 267, 11452, 4283, 4345, 267, 682, 696, 2214, 10098, 3974, 267, 17172, 4451, 339, 2670, 543, 29811, 269, 6576, 563, 268, 1261, 343, 611, 690, 910, 6604, 540, 3676, 540, 5243, 281, 20575, 540, 23097, 2803, 267, 20722, 990, 21905, 267, 1612, 341, 21552, 4283, 4345, 267, 682, 696, 2214, 10098, 3974, 543, 29811, 540, 5243, 269, 7330, 6363, 8896, 563, 268, 20195, 4618, 667, 295, 13048, 296, 273, 568, 513, 3102, 6669, 585, 519, 6604, 540, 5906, 3676, 971, 607, 23097, 648, 20575, 267, 1612, 664, 22381, 27833, 267, 20722, 21552, 267, 1612, 341, 21552, 269, 6969, 12674, 267, 713, 6669, 568, 6404, 609, 20195, 4618, 910, 700, 630, 548, 696, 2214, 10098, 3974, 264, 610, 20195, 4618, 910, 700, 305, 630, 548, 696, 2214, 10098, 3974, 543, 29811, 1040, 5333, 563, 268, 12321, 643, 752, 667, 27426, 568, 513, 4999, 2661, 6669, 1996, 23097, 648, 20575, 267, 11763, 17537, 543, 1612, 341, 21552, 3968, 538, 5243, 563, 268, 12321, 643, 752, 667, 295, 13048, 328, 910, 513, 6669, 585, 519, 6604, 540, 23097, 648, 20575, 3644, 267, 2915, 1612, 341, 21552, 267, 20722, 21552, 267, 1612, 664, 22381, 27833, 3644, 269, 13814, 563, 268, 12321, 643, 752, 2274, 696, 334, 910, 513, 6669, 585, 519, 6604, 540, 682, 696, 2214, 10098, 3974, 269, 13814, 563, 268, 12321, 643, 752, 28523, 344, 568, 513, 6669, 585, 519, 6604, 540, 20575, 540, 23097, 2803, 543, 1612, 341, 21552, 4283, 4345, 538, 29067, 269, 13814, 563, 268, 12321, 643, 752, 15887, 625, 568, 606, 30737, 17300, 29811, 6669, 269, 13814, 563, 2252, 596, 1616, 547, 1491, 707, 4620, 13383, 267, 1287, 12674, 1058, 581, 5645, 856, 1152, 609, 16865, 5061, 269, 6270, 607, 12321, 643, 752, 267, 1261, 343, 611, 690, 267, 20195, 4618, 267, 3092, 269, 2353, 10074, 2285, 519, 3662, 7123, 12046, 585, 1152, 835, 1032, 269, 4475, 267, 519, 2915, 2115, 547, 581, 18764, 12422, 269, 634, 12674, 8430, 568, 3254, 2630, 563, 28324, 3007, 547, 519, 1739, 2798, 912, 268, 17261, 1588, 1590, 581, 5645, 856, 693, 519, 1533, 18915, 16758, 563, 268, 2353, 25750, 2016, 616, 9411, 538, 519, 18915, 1780, 1636, 540, 519, 3662, 543, 14468, 609 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13356, 2815, 633, 3594, 593, 581, 19354, 454, 7072, 630, 16391, 1436, 264, 634, 4367, 568, 18136, 267, 2829, 519, 1292, 1888, 267, 12744, 338, 519, 2497, 540, 519, 1957, 11783, 476, 273, 264, 15689, 540, 29149, 5675, 6153, 10855, 1603, 568, 16922, 540, 2947, 2609, 282, 11576, 800, 19672, 267, 8431, 584, 894, 23458, 267, 8789, 12705, 267, 5730, 1893, 267, 543, 5516, 995, 9257, 269, 513, 31119, 2777, 3594, 1557, 25689, 585, 31908, 476, 23884, 4081, 1603, 538, 1896, 3871, 281, 2060, 1079, 610, 811, 2241, 5220, 543, 9433, 949, 581, 1031, 538, 519, 5449, 543, 519, 7613, 1373, 6594, 610, 593, 1297, 540, 12987, 1557, 552, 777, 4359, 17099, 12236, 538, 535, 276, 325, 5054, 7956, 2010, 538, 3332, 1106, 519, 2596, 6163, 540, 1603, 269, 1473, 4275, 575, 16905, 1557, 795, 599, 21468, 538, 31448, 7162, 485, 2633, 355, 18892, 7162, 501, 2633, 356, 7162, 506, 2633, 363, 23371, 606, 5140, 31448, 2376, 593, 967, 4275, 575, 16905, 779, 1272, 967, 4275, 575, 16905, 12092, 634, 2034, 4845, 568, 606, 1383, 540, 10855, 1603, 269, 29149, 4828, 6168, 3733, 12624, 4746, 29028, 9356, 519, 16431, 540, 17454, 29509, 676, 14017, 540, 29028, 781, 13794, 543, 519, 6609, 540, 13983, 526, 601, 781, 3993, 607, 513, 18338, 269, 1703, 616, 1082, 3344, 547, 5339, 1603, 267, 543, 1082, 2081, 547, 20272, 621, 267, 855, 2185, 2596, 6688, 616, 10855, 267, 2239, 267, 16878, 269, 13983, 526, 601, 568, 835, 540, 519, 1614, 2101, 21087, 1235, 538, 519, 6648, 834, 6826, 19354, 2668, 2171, 616, 5143, 646, 568, 513, 20599, 543, 513, 13956, 656, 540, 519, 13400, 4137, 834, 290, 664, 257, 2038, 593, 538, 519, 1257, 269, 5131, 10749, 593, 29149, 4828, 2201, 17520, 269, 15618, 593, 552, 592, 9609, 1557, 595, 262, 652, 3288, 2892, 548, 781, 1898, 547, 513, 476, 274, 267, 519, 1587, 602, 900, 3205, 5156, 555, 648, 879, 849, 3109, 7606, 540, 15567, 3780, 2781, 553, 541, 6744, 856, 938, 824, 1603, 5439, 267, 899, 938, 2200, 593, 29028, 6468, 4828, 267, 29028, 13983, 526, 601, 4828, 267, 29028, 8567, 4828, 269, 1548, 616, 10855, 1913, 7790, 898, 8591, 547, 519, 1650, 543, 2306, 621, 811, 4277, 11146, 568, 1945, 602, 1797, 1360, 1114, 1919, 547, 1114, 1004, 269, 6733, 693, 938, 5439, 540, 10855, 3594, 547, 1174, 875, 547, 2328, 873, 593, 707, 1378, 269, 898, 781, 849, 1634, 607, 513, 5098, 3948, 267, 5098, 4845, 267, 9013, 2856, 12866, 6261, 541, 4588, 4828, 5675, 11676, 878, 7600, 4997, 476, 275, 476, 274, 476, 273, 476, 272, 18745, 13823, 2563, 24225, 19080, 3948, 14121, 8084, 2856, 4845, 568, 2312, 267, 7157, 5116, 267, 543, 1964, 730, 538, 519, 14656, 4845, 269, 29430, 16047, 729, 1250, 5289, 13793, 719, 538, 1250, 6689, 269, 30793, 8046, 267, 1250, 4128, 585, 642, 3539, 585, 713, 2990, 616, 1360, 15889, 543, 9867, 269, 834, 307, 650, 519, 20599, 13489, 1042, 267, 602, 27313, 267, 602, 535, 328, 754, 27798, 16781, 601, 945, 20807, 539, 519, 4779, 832, 267, 519, 3552, 1315, 300, 1513, 1127, 267, 543, 1500, 1010, 1753, 538, 513, 22946, 32220, 8253, 22946, 855, 22946, 593, 3618, 1546, 20696, 10749, 2201, 29028, 910, 16075, 1557, 1603, 7270, 20410, 910, 579, 342, 14834, 2581, 5098, 269, 18248, 25201, 269, 901, 1557, 8813, 883, 519, 7121, 540, 2239, 3594, 267, 2094, 621, 3947, 1053, 519, 5191, 540, 1582, 22325, 267, 543, 14884, 873, 547, 12701, 741, 9345, 269, 700, 11691, 1354, 13983, 526, 601, 729, 519, 2983, 520, 1572, 29028, 269, 2443, 17459, 6369, 24184, 31822, 10813, 6369, 327, 17639, 264, 5181, 476, 2190, 267, 476, 1001, 280, 269, 589, 29149, 4828, 540, 13983, 526, 601, 689, 968, 6826, 19354, 892, 4828, 12726, 269, 1358, 616, 1459, 538, 8103, 779, 9510, 2984, 267, 899, 25264, 779, 594, 2993, 611, 267, 538, 634, 6426, 543, 29028, 267, 2984, 602, 4183, 3401, 945, 723, 513, 16994, 2702, 547, 4971, 1866, 267, 945, 616, 12703, 543, 1582, 1652, 538, 6370, 267, 543, 945, 723, 2067, 735, 3837, 896, 3595, 269, 589, 26626, 540, 5565, 4258, 12028, 729, 5063, 20366, 968, 16032, 595, 622, 17243, 892, 476, 1001, 273, 585, 772, 8976, 32052, 18225, 779, 968, 16032, 2986, 17136, 6100, 968, 302, 11190, 2793, 892, 1797, 7731, 543, 7731, 1797, 18864, 4991, 2451, 3297, 16634, 476, 272, 264, 11576, 800, 19672, 6153, 10855, 1603, 2882, 1082, 12667, 10444, 3877, 602, 5862, 513, 4605, 543, 22587, 547, 718, 540, 519, 3988, 269, 898, 9727, 519, 1843, 607, 621, 568, 538, 1249, 269, 29149, 1603, 568, 513, 5339, 3926, 538, 799, 519, 2278, 3096, 3877, 547, 5862, 513, 4605, 609, 741, 1913, 269, 9612, 901, 18248, 269, 476, 272, 998, 476, 1789, 269, 2095, 2044, 1893, 610, 1603, 3096, 1082, 7294, 1913, 602, 616, 5497, 547, 1118, 621, 811, 10694, 269, 4279, 10855, 3594, 3035, 713, 1860, 711, 998, 5013, 543, 7194, 855, 676, 1210, 2143, 7422, 543, 11673, 269, 634, 5777, 1376, 689, 1269, 1015, 829, 2985, 269, 1411, 666, 1931, 513, 2688, 1557, 593, 14134, 5600, 1631, 256, 4828, 299, 756, 2593, 1557, 1603, 3028, 7472, 476, 1911, 260, 2688, 3594, 267, 2165, 4574, 1299, 1382, 4574, 267, 2854, 676, 2298, 1557, 5830, 1152, 269, 7612, 476, 272, 9950, 2548, 1261, 987, 781, 10439, 17826, 676, 27334, 5357, 312, 13585, 966, 3198, 667, 312, 17395, 1496, 9616, 689, 661, 850, 523, 281, 8349, 2106, 333, 11709, 29325, 651, 781, 2022, 1934, 568, 513, 27402, 540, 519, 5571, 5188, 31827, 689, 4574, 4843, 693, 519, 8400, 25288, 27213, 6896, 593, 834, 763, 29149, 12414, 257, 693, 519, 536, 1329, 333, 658, 5870, 540, 519, 1715, 932, 29694, 5980, 4371, 538, 24144, 513, 1906, 4374, 3516, 4534, 661, 850, 523, 20717, 781, 543, 7325, 773, 2107, 12661, 753, 7288, 781, 9450, 4574, 2907, 11540, 269, 630, 29602, 22274, 264, 1548, 568, 707, 1888, 286, 901, 1184, 786, 1683, 3988, 609, 11673, 540, 1004, 267, 4025, 267, 3615, 267, 543, 269, 2095, 2044, 1893, 610, 1603, 3096, 1082, 7294, 1913, 602, 616, 5497, 547, 1118, 621, 811, 10694, 269, 10749, 593, 29149, 4828, 6168, 3733, 12624, 269, 24285, 2291, 538, 782, 3344, 540, 1272, 543, 2486, 269, 634, 1650, 540, 29028, 568, 2025, 543, 22300, 267, 10213, 827, 1614, 12959, 1063, 29028, 543, 1896, 3983, 26704, 7068, 269, 29149, 4828, 8862, 22736, 12875, 3627, 1684, 324, 29149, 4828, 8862, 22736, 12875, 2296, 476, 14378, 272, 268, 2568, 5239, 476, 276, 267, 476, 1001, 271, 6478, 4032, 281, 476, 278, 2537, 12142, 6754, 5441, 12875, 594, 723, 1044, 11504, 1153, 693, 12142, 6754, 5441, 585, 936, 1079, 1296, 1631, 543, 22821, 1406, 2731, 8068, 519, 1604, 540, 519, 13464, 2394, 1631, 29980, 12325, 4865, 7907, 602, 6071, 6180, 1023, 3668, 22838, 3564, 581, 19354, 15225, 891, 7907, 538, 519, 2025, 7005, 12473, 6648, 3957, 1310, 1864, 1010, 24123, 7907, 941, 875, 547, 2328, 513, 10855, 1557, 593, 606, 12473, 5869, 519, 2856, 540, 269, 29149, 1913, 616, 10416, 1883, 9293, 543, 1912, 29320, 602, 948, 5862, 513, 2312, 4605, 543, 2995, 513, 1650, 827, 1945, 267, 2436, 596, 616, 513, 1603, 606, 2376, 267, 10503, 513, 1788, 610, 5009, 513, 1587, 269, 5327, 20696, 1913, 616, 1271, 607, 621, 3947, 513, 2312, 5048, 547, 519, 3988, 543, 19700, 12182, 10749, 5131, 3594, 267, 1557, 1806, 267, 3732, 3594, 543, 1557, 1603, 4388, 585, 1053, 269, 1403, 596, 917, 540, 930, 10855, 1913, 602, 1058, 979, 593, 713, 1592, 267, 5225, 4757, 721, 543, 649, 786, 1039, 621, 538, 938, 1985, 9337, 269, 29149, 9293, 585, 4658, 269, 7330, 9122, 256, 898, 568, 513, 22586, 11824, 538, 519, 2749, 540, 29430, 16047, 267, 799, 666, 581, 269, 8564, 519, 1412, 10907, 1061, 262, 610, 1412, 23220, 696, 262, 4781, 896, 1412, 5575, 18407, 13648, 625, 9538, 8564, 519, 1412, 10907, 1061, 262, 610, 1412, 23220, 696, 262, 4781, 896, 1412, 23612, 18407, 13648, 625, 9538, 630, 9616, 281, 952, 596, 2824, 519, 1412, 23220, 696, 262, 4781, 267, 596, 3513, 581, 19430, 547, 4945, 15528, 1232, 2815, 633, 3594, 593, 581, 19354, 1169, 942, 513, 3896, 8942, 547, 6494, 596, 513, 23739, 4700, 769, 519, 5769, 18169, 6885, 267, 4945, 15528, 547, 14827, 907, 29149, 3594, 1711, 513, 12667, 1995, 585, 519, 5467, 269, 634, 4367, 5713, 547, 6338, 707, 1641, 547, 519, 5467, 543, 2285, 873, 2614, 2796, 547, 4628, 269, 8307, 2298, 4574, 1934, 11146, 3465, 5034, 538, 31888, 676, 12070, 15728, 32139, 476, 27886, 275, 9293, 1923, 476, 1015, 9664, 269, 674, 4954, 802, 262, 20002, 784, 543, 538, 1082, 540, 12070, 15728, 32139, 781, 2782, 9954, 269, 10749, 666, 581, 513, 13085, 1259, 547, 269, 1703, 779, 1100, 18334, 3094, 585, 596, 543, 707, 12377, 982, 7542, 516, 1154, 856, 543, 14874, 1166, 629, 2421, 13450, 543, 13868, 873, 609, 7524, 3283, 3776, 4828, 27842, 269, 1452, 7068, 941, 678, 3578, 1652, 6146, 619, 945, 7166, 1175, 585, 519, 26497, 540, 11318, 269, 1717, 267, 930, 540, 519, 1034, 7920, 569, 22192, 6965, 568, 3810, 10855, 543, 3096, 1893, 602, 5932, 2592, 543, 4606, 3564, 602, 540, 824, 5339, 960, 907, 7151, 2986, 1763, 2541, 1280, 25867, 910, 5098, 5856, 4609, 20410, 910, 2688, 2013, 1353, 5830, 7270, 721, 269, 4595, 476, 1960, 276, 267, 649, 723, 2854, 936, 476, 273, 267, 1822, 267, 1822, 2852, 4267, 267, 24096, 267, 2165, 4574, 267, 3594, 267, 1433, 5359, 267, 4744, 31277, 267, 543, 1382, 4574, 593, 3332, 267, 9297, 267, 1686, 267, 543, 782, 824, 1557, 3584, 269, 6124, 1514, 267, 2797, 267, 5339, 267, 543, 4081, 2152, 1020, 1169, 1554, 267, 865, 649, 666, 1592, 1152, 513, 6712, 540, 519, 5318, 1297, 540, 3584, 267, 5396, 267, 4589, 267, 9954, 267, 543, 3332, 602, 649, 3382, 589, 2875, 568, 513, 1268, 945, 568, 2348, 513, 1390, 1990, 7002, 693, 1022, 1641, 269, 634, 6249, 540, 968, 288, 11162, 267, 4270, 6441, 32484, 9255, 892, 568, 4956, 569, 562, 8811, 559, 2065, 281, 1272, 267, 1480, 2093, 540, 2696, 543, 5132, 267, 543, 3618, 569, 15896, 616, 782, 6038, 540, 8449, 9039, 343, 11962, 1871, 22252, 531, 1557, 20531, 543, 1198, 1806, 681, 699, 14142, 1957, 538, 2979, 10515, 3539, 689, 5098, 1806, 28483, 1557, 827, 513, 1747, 5441, 1557, 948, 4258, 777, 2688, 3594, 2228, 9669, 593, 476, 276, 2985, 1382, 1957, 14905, 2511, 1557, 5351, 634, 14469, 540, 513, 5339, 1557, 20895, 540, 606, 10763, 1557, 2806, 10407, 12819, 1557, 20828, 3948, 29028, 1557, 269, 18044, 10587, 538, 1603, 616, 3274, 10207, 689, 519, 2250, 269, 10855, 1557, 593, 20424, 807, 11824, 4945, 547, 3136, 29028, 3594, 1107, 10828, 540, 581, 19354, 1107, 12473, 540, 581, 19354, 1107, 3594, 519, 10828, 540, 581, 19354, 581, 19354, 543, 27205, 575, 1177, 664, 543, 519, 3039, 27585, 581, 19354, 267, 31914, 328, 1092, 11783, 5131, 4828, 4860, 2888, 269, 11762, 269, 1215, 547, 7435, 548, 18044, 10587, 769, 5675, 269, 20497, 338, 3895, 2472, 543, 2533, 267, 4482, 1007, 5561, 543, 2333, 3747, 269, 634, 1448, 568, 602, 1434, 1603, 568, 811, 827, 1134, 7302, 4923, 17205, 543, 2178, 13450, 982, 621, 568, 827, 21371, 543, 740, 18690, 267, 7488, 1018, 596, 941, 5143, 607, 513, 4819, 269, 12059, 267, 1628, 513, 2013, 610, 13539, 267, 1141, 10858, 269, 29149, 4828, 11676, 878, 29640, 9680, 12088, 476, 275, 476, 274, 476, 273, 476, 272, 7170, 7170, 568, 3860, 267, 31168, 1719, 543, 568, 1644, 547, 519, 1888, 269, 11289, 596, 543, 649, 4126, 29149, 9293, 10758, 294, 568, 5363, 547, 596, 476, 274, 269, 4635, 519, 12866, 590, 5151, 538, 5675, 513, 29149, 4828, 4635, 1114, 12823, 538, 3594, 267, 2165, 4574, 267, 1382, 4574, 267, 2984, 267, 543, 824, 2010, 540, 3860, 1603, 2337, 519, 5467, 547, 1174, 4010, 1018, 568, 8345, 269, 29149, 1557, 282, 519, 2012, 3081, 621, 782, 269, 0, 10170, 910, 674, 2207, 267, 12832, 15614, 632, 282, 5442, 306, 5085, 2562, 267, 8176, 454, 21574, 28535, 267, 4108, 3804, 269, 30209, 1185, 1831, 513, 4143, 4108, 1843, 538, 519, 2352, 3666, 540, 4229, 540, 3864, 7060, 538, 2413, 2053, 269, 9182, 267, 519, 7047, 2762, 540, 519, 2749, 1282, 519, 476, 1704, 628, 2540, 568, 5532, 547, 519, 4108, 1719, 267, 2901, 547, 3489, 1702, 540, 519, 8513, 543, 922, 1219, 1878, 610, 547, 3262, 3377, 540, 519, 12959, 602, 3576, 1747 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12714, 5021, 568, 2629, 267, 607, 621, 2488, 513, 2883, 3106, 2121, 543, 2337, 2043, 1544, 741, 3782, 9276, 563, 288, 3060, 568, 513, 1895, 540, 3782, 7426, 267, 10506, 267, 543, 6703, 602, 723, 26438, 609, 606, 6142, 2754, 547, 1683, 2564, 2533, 693, 31680, 3928, 269, 1703, 616, 1114, 2010, 540, 5121, 267, 1519, 2657, 20904, 20871, 630, 295, 300, 11675, 1070, 2776, 31084, 3038, 3187, 20871, 630, 13048, 11675, 1070, 1401, 5477, 3038, 3187, 20871, 630, 7968, 11675, 1070, 543, 8672, 540, 6796, 630, 303, 5308, 264, 4566, 269, 898, 568, 1271, 547, 1174, 519, 3060, 1826, 540, 606, 6142, 1544, 267, 607, 621, 11887, 519, 3903, 540, 3782, 7426, 543, 519, 1377, 540, 3795, 563, 7093, 10461, 1436, 568, 513, 1184, 1141, 2043, 3489, 13170, 689, 741, 6142, 8502, 1354, 8391, 1978, 2564, 2533, 610, 5773, 269, 898, 568, 2356, 2838, 585, 7199, 610, 1875, 15041, 1120, 1890, 5574, 547, 2327, 789, 2743, 519, 6142, 2754, 779, 7355, 585, 3795, 269, 4197, 950, 840, 10461, 1436, 568, 2556, 2337, 2043, 2057, 6397, 3954, 10118, 540, 3795, 563, 279, 269, 769, 5991, 564, 1740, 5288, 269, 4934, 6361, 5991, 564, 1740, 454, 1103, 5991, 564, 1740, 7426, 616, 3782, 4648, 267, 10506, 267, 543, 6703, 602, 723, 513, 4579, 609, 519, 6142, 2754, 547, 1683, 2533, 693, 31680, 3928, 269, 4934, 6361, 5991, 564, 1740, 7426, 267, 593, 519, 824, 1688, 267, 798, 711, 723, 513, 4579, 609, 519, 6142, 2754, 543, 949, 1267, 538, 2362, 3790, 585, 2043, 269, 898, 568, 1271, 547, 1174, 519, 6286, 540, 1210, 538, 5991, 564, 1740, 610, 856, 6361, 5991, 564, 1740, 7426, 267, 607, 621, 666, 3648, 1860, 856, 6361, 1790, 12714, 9276, 563, 280, 269, 19247, 540, 11588, 630, 292, 15477, 994, 2304, 19247, 540, 11588, 630, 292, 15477, 264, 568, 513, 3561, 3177, 676, 519, 6142, 2754, 1310, 513, 3782, 3028, 814, 1044, 21235, 269, 898, 14592, 519, 2533, 3177, 267, 519, 2179, 9901, 267, 519, 2179, 4988, 676, 6142, 267, 543, 519, 1367, 779, 2883, 5539, 269, 4197, 875, 547, 1224, 543, 4612, 606, 661, 15477, 568, 2629, 585, 2357, 4328, 519, 6111, 540, 10997, 543, 4180, 1697, 3795, 563, 19522, 585, 4197, 2657, 15928, 12910, 11659, 454, 2414, 3986, 707, 1620, 540, 1072, 6142, 16166, 267, 2015, 519, 1739, 4388, 912, 268, 5623, 532, 3609, 6054, 543, 1544, 24096, 281, 28392, 1224, 998, 519, 6142, 3609, 6054, 543, 1544, 24096, 3177, 676, 519, 6142, 2754, 269, 1452, 6054, 2270, 2143, 1344, 827, 3795, 267, 3790, 267, 543, 8847, 563, 268, 1306, 6362, 2055, 543, 5275, 27792, 281, 1403, 596, 616, 18516, 827, 1022, 16166, 610, 3795, 3877, 267, 798, 711, 19292, 547, 2307, 2055, 269, 28651, 856, 547, 707, 6142, 2754, 779, 6075, 3028, 610, 5077, 609, 606, 6142, 30549, 585, 27792, 563, 268, 22034, 2228, 2200, 543, 6142, 8502, 779, 6075, 1489, 281, 3509, 6142, 7426, 2709, 2228, 2200, 543, 3872, 2326, 602, 2491, 1883, 1072, 6142, 2474, 269, 3958, 267, 6075, 1489, 13222, 666, 1683, 3407, 5583, 538, 1620, 1950, 16166, 563, 8139, 1072, 6142, 16166, 568, 2629, 585, 2043, 547, 1118, 5483, 3664, 827, 741, 3782, 3795, 543, 4383, 3790, 3927, 269, 1635, 5432, 1944, 2933, 609, 1883, 8847, 971, 607, 14167, 267, 20952, 1043, 267, 2941, 599, 618, 267, 11113, 4269, 267, 856, 6361, 1790, 12714, 5021, 267, 3060, 267, 840, 10461, 1436, 267, 538, 5991, 564, 1740, 5288, 269, 856, 6361, 5991, 564, 1740, 267, 543, 19247, 540, 11588, 630, 292, 15477, 1070, 2043, 666, 6330, 519, 10848, 540, 1072, 6142, 609, 6015, 269, 744, 32054, 2069, 543, 9363, 5483, 827, 2242, 538, 6142, 4507, 616, 1898, 547, 2327, 6099, 3782, 3795, 543, 2883, 3354, 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 ]
[ 10440, 630, 300, 558, 867, 3821, 1347, 656, 807, 1070, 29034, 11986, 630, 307, 3419, 517, 7578, 9087, 523, 636, 910, 1178, 1815, 636, 1070, 590, 777, 628, 541, 30231, 630, 290, 553, 792, 807, 1965, 1529, 9017, 1070, 8061, 611, 541, 617, 4673, 630, 290, 539, 6350, 632, 2073, 2494, 329, 16695, 630, 305, 889, 807, 10260, 604, 16288, 1070, 717, 644, 1276, 328, 630, 307, 16394, 1602, 320, 4731, 629, 541, 3821, 264, 723, 8810, 2933, 538, 3987, 563, 763, 25072, 320, 7041, 4144, 12185, 24695, 339, 8533, 568, 513, 11600, 16887, 3358, 547, 519, 10894, 3510, 540, 31911, 609, 476, 1015, 540, 519, 1034, 1271, 16392, 2371, 269, 3371, 267, 519, 6886, 267, 8324, 543, 824, 4105, 543, 3742, 5820, 602, 616, 1271, 585, 31911, 616, 2283, 4601, 5916, 538, 513, 2067, 4999, 267, 1519, 519, 6281, 2030, 6878, 602, 2149, 519, 1973, 8043, 563, 24576, 15847, 20239, 26952, 2228, 1631, 454, 5415, 1344, 593, 912, 288, 7356, 13403, 5226, 2075, 564, 514, 307, 584, 1337, 630, 10501, 322, 6373, 264, 312, 1662, 611, 13225, 553, 2742, 630, 11499, 13058, 264, 293, 832, 330, 22223, 454, 1607, 1344, 568, 1759, 593, 1585, 12326, 267, 585, 519, 6111, 540, 799, 649, 8263, 1100, 15668, 269, 5015, 267, 713, 1344, 1058, 711, 581, 1031, 547, 1521, 1022, 2564, 2783, 269, 1403, 596, 616, 2921, 6646, 610, 18460, 2564, 2126, 267, 596, 1058, 5077, 707, 4387, 1354, 2921, 1022, 4105, 6878, 543, 8192, 9360, 563, 8196, 538, 1453, 1058, 2141, 581, 20291, 609, 519, 11504, 10629, 267, 2094, 1034, 2090, 616, 5645, 856, 609, 4079, 543, 4616, 7840, 585, 1453, 616, 2356, 711, 1634, 563, 289, 19272, 1923, 24505, 454, 15100, 25072, 320, 2657, 1072, 4760, 454, 12709, 1923, 14174, 304, 1923, 15765, 5820, 1923, 1473, 1709, 1923, 10866, 1315, 6915, 822, 22355, 1923, 13555, 1923, 1955, 2745, 1923, 2598, 25068, 1923, 32505, 454, 268, 1215, 798, 28842, 1466, 543, 28842, 1466, 8428, 454, 268, 7316, 568, 519, 1655, 7260, 14364, 538, 12924, 290, 454, 268, 3657, 972, 1022, 28151, 538, 5125, 888, 268, 5808, 2813, 519, 19682, 3896, 454, 268, 1215, 798, 596, 6133, 513, 1876, 6109, 454, 268, 6904, 568, 811, 1271, 1153, 610, 2648, 454, 268, 1548, 1281, 621, 1611, 547, 1491, 1416, 540, 1864, 454, 268, 1215, 666, 594, 2087, 1250, 3804, 454, 268, 1548, 781, 707, 5172, 29380, 1815, 820, 454, 268, 898, 729, 513, 1434, 3364, 547, 7333, 10222, 921, 570, 8403, 336, 454, 268, 1548, 568, 513, 4123, 5728, 454, 268, 1215, 798, 594, 1118, 513, 2706, 19218, 454, 268, 6904, 27311, 13863, 13324, 519, 22084, 545, 558, 2780, 888, 268, 1215, 798, 594, 1205, 936, 1945, 454, 268, 1215, 1281, 5840, 1294, 5333, 454, 268, 1548, 568, 11544, 1184, 454, 268, 1772, 6070, 15755, 610, 2596, 454, 268, 1215, 798, 594, 1831, 513, 1016, 3118, 9920, 888, 268, 1215, 568, 23436, 21322, 3465, 2917, 13948, 888, 268, 7316, 666, 594, 1265, 4775, 23274, 2228, 454, 268, 1411, 1058, 4444, 513, 2262, 12304, 6249, 454, 268, 4208, 568, 22648, 865, 2635, 454, 268, 4208, 568, 3002, 4483, 513, 1875, 25668, 10329, 7613, 454, 268, 1548, 568, 519, 2475, 4640, 585, 10476, 454, 268, 1215, 568, 513, 22712, 322, 16239, 1500, 454, 268, 1215, 1281, 3987, 1860, 2597, 2530, 454, 268, 1215, 1058, 594, 5965, 585, 715, 21316, 476, 1001, 280, 454, 268, 674, 9281, 288, 476, 1704, 568, 519, 10782, 674, 9281, 288, 2943, 454, 268, 3657, 972, 22247, 2127, 538, 670, 30090, 267, 3567, 454, 268, 25529, 344, 15441, 1743, 625, 2312, 454, 268, 1548, 568, 519, 1655, 1259, 547, 6216, 1480, 2960, 454, 268, 1548, 616, 512, 545, 512, 30929, 454, 268, 1879, 1705, 1004, 1376, 547, 723, 5837, 2631, 888, 268, 1548, 5949, 547, 519, 11335, 8059, 320, 21473, 8619, 0, 268, 1215, 666, 594, 1205, 9176, 3362, 888, 268, 2052, 594, 1205, 9176, 476, 278, 2395, 1354, 1250, 1974, 888, 268, 1215, 798, 594, 917, 952, 993, 9176, 888, 268, 6496, 10729, 6146, 14203, 888, 268, 2052, 14203, 7639, 538, 18492, 1973, 888, 268, 2052, 513, 8004, 1205, 9176, 593, 1200, 1101, 1554, 540, 1974, 888, 268, 2052, 2776, 322, 636, 2014, 6379, 888, 268, 2052, 596, 1745, 9176, 1310, 476, 273, 2395, 888, 268, 1215, 2500, 568, 17444, 856, 888, 268, 1215, 2693, 568, 621, 547, 1205, 9176, 593, 707, 1974, 888, 268, 1548, 616, 2922, 2395, 540, 711, 3478, 9176, 888, 268, 2052, 513, 812, 1205, 606, 3968, 689, 1974, 1973, 888, 268, 2052, 513, 8004, 1831, 9176, 1510, 9561, 1200, 20424, 640, 888, 1692, 666, 594, 1205, 9176, 3362, 888, 24685, 2489, 267, 1169, 824, 3781, 1472, 519, 942, 540, 28284, 2337, 2333, 707, 4960, 540, 3478, 9176, 2223, 7108, 325, 16808, 3081, 563, 306, 11279, 666, 2661, 909, 547, 476, 276, 2395, 3330, 707, 1560, 563, 763, 1655, 19583, 568, 547, 723, 3023, 5781, 2443, 950, 596, 2461, 9065, 6819, 267, 543, 950, 596, 2461, 711, 10756, 4692, 594, 1205, 9176, 476, 278, 2395, 1354, 1250, 1974, 888, 7212, 621, 568, 2009, 547, 1205, 9176, 538, 519, 2395, 3056, 909, 547, 707, 1974, 267, 621, 3884, 1406, 2693, 269, 1411, 666, 1152, 1205, 9176, 1282, 513, 7522, 6885, 540, 2947, 547, 3670, 2395, 513, 3923, 269, 1879, 891, 15417, 2395, 2965, 2049, 5673, 593, 950, 596, 9065, 3634, 267, 610, 5305, 606, 4212, 689, 707, 9065, 776, 563, 1692, 798, 594, 917, 952, 993, 9176, 888, 763, 1034, 1455, 2038, 4191, 543, 2589, 540, 6379, 1522, 1331, 281, 7323, 539, 1974, 269, 1403, 596, 2461, 538, 707, 1126, 321, 8960, 1296, 543, 513, 3018, 610, 811, 814, 5293, 1510, 519, 1376, 540, 606, 4397, 18492, 4783, 267, 596, 1522, 581, 9176, 269, 1717, 267, 713, 10835, 666, 581, 22801, 952, 596, 723, 606, 12150, 18492, 4783, 563, 9989, 10729, 6146, 14203, 888, 2005, 779, 711, 3020, 269, 623, 2465, 532, 1310, 3023, 267, 1498, 5363, 585, 7303, 17256, 8778, 5563, 267, 4465, 1406, 1832, 596, 689, 3478, 9176, 563, 4692, 14203, 7639, 538, 18492, 1973, 888, 4692, 596, 581, 15417, 593, 707, 1974, 286, 2755, 621, 779, 5393, 12691, 267, 519, 2241, 2626, 568, 9811, 269, 6468, 616, 711, 2111, 547, 32230, 15029, 593, 741, 1974, 267, 855, 14203, 3470, 1161, 1369, 519, 4775, 10285, 1062, 585, 909, 547, 2947, 2395, 563, 4692, 513, 8004, 1205, 9176, 593, 1200, 1101, 1554, 540, 1974, 888, 25802, 10355, 267, 513, 4807, 666, 1205, 9176, 952, 1352, 814, 796, 31695, 3023, 593, 519, 1101, 1554, 540, 519, 1974, 269, 901, 949, 4755, 952, 1352, 814, 513, 476, 736, 6377, 1974, 4783, 269, 769, 513, 4807, 609, 513, 476, 736, 6377, 4783, 267, 519, 4212, 568, 5950, 1472, 519, 18749, 1554, 267, 543, 519, 1034, 15417, 2395, 585, 713, 4807, 616, 17963, 476, 276, 267, 476, 277, 267, 543, 476, 278, 540, 519, 1974, 4783, 563, 4692, 2776, 322, 636, 2014, 6379, 888, 7312, 4960, 540, 4742, 9176, 689, 840, 2275, 636, 949, 581, 28489, 267, 855, 621, 666, 1869, 4755, 269, 590, 11279, 666, 1869, 581, 1459, 538, 519, 23443, 628, 571, 543, 3575, 609, 840, 2275, 636, 602, 779, 5950, 1354, 552, 329, 659, 1637, 269, 1403, 596, 946, 519, 15639, 1505, 267, 1832, 538, 2247, 602, 972, 779, 513, 476, 1691, 547, 476, 2190, 2600, 5821, 2557, 267, 2687, 547, 835, 476, 1220, 280, 2376, 563, 4692, 596, 1745, 9176, 1310, 476, 273, 2395, 888, 5278, 2021, 949, 5469, 2589, 607, 2038, 607, 476, 276, 667, 17269, 267, 4352, 789, 4465, 1406, 917, 585, 1978, 602, 789, 616, 9176, 2394, 1454, 2663, 269, 7216, 4191, 543, 2589, 1331, 15498, 566, 11702, 610, 25574, 267, 799, 666, 2049, 476, 276, 1700, 277, 2395, 1310, 519, 14203, 6992, 3278, 519, 4212, 269, 4033, 2038, 2589, 1331, 6089, 31926, 543, 7099, 2242, 563, 1692, 2500, 568, 17444, 856, 888, 2252, 596, 946, 15639, 7157, 267, 621, 568, 476, 9834, 260, 2500, 693, 7303, 6379, 269, 898, 1522, 1152, 581, 476, 3199, 260, 2500, 952, 596, 610, 707, 7649, 840, 3887, 329, 659, 3634, 630, 2181, 2275, 636, 264, 610, 941, 8572, 547, 11198, 563, 1692, 2693, 568, 621, 547, 1205, 9176, 593, 707, 1974, 888, 763, 10171, 602, 513, 4807, 786, 1205, 9176, 835, 547, 1079, 2395, 1310, 1352, 6238, 11702, 568, 5176, 4642, 269, 1809, 519, 10171, 6238, 547, 2333, 1586, 609, 1142, 20422, 1554, 267, 1256, 1498, 1352, 779, 1869, 11702, 269, 2311, 10199, 1554, 476, 1724, 1310, 4358, 1200, 1974, 267, 1200, 4960, 540, 6379, 568, 606, 6059, 476, 280, 2600, 563, 1432, 616, 2922, 2395, 540, 711, 3478, 9176, 888, 2467, 568, 1100, 11613, 968, 338, 12522, 892, 942, 540, 519, 3923, 950, 513, 4807, 666, 723, 3023, 1510, 15333, 4003, 543, 711, 1981, 4742, 9176, 269, 1717, 267, 972, 616, 2053, 538, 519, 18492, 4783, 950, 2021, 949, 581, 1034, 15417, 543, 616, 1034, 2693, 547, 32230, 269, 634, 15417, 2395, 949, 2063, 585, 909, 547, 476, 274, 268, 276, 2395, 1310, 519, 1439, 540, 707, 1974, 563, 4692, 513, 812, 1205, 606, 3968, 689, 1974, 1973, 888, 4407, 13803, 5563, 666, 849, 2049, 1510, 2502, 538, 4638, 2534, 267, 1004, 949, 723, 513, 2362, 1981, 540, 3478, 513, 13803, 3968, 1813, 547, 519, 17441, 2242, 1282, 513, 1974, 269, 966, 698, 1400, 1790, 523, 850, 3023, 666, 849, 3262, 13803, 5563, 267, 4929, 519, 2212, 540, 519, 4050, 529, 547, 1831, 28332, 269, 901, 2783, 568, 1572, 2545, 534, 4345, 563, 4692, 513, 8004, 1831, 9176, 1510, 9561, 1200, 20424, 640, 888, 763, 2626, 568, 2443, 9811, 256, 2755, 621, 3884, 1406, 2693, 267, 1022, 2534, 602, 12857, 14203, 547, 519, 21420, 1858, 2306, 6379, 2009, 1510, 21774, 269, 0, 763, 3376, 1279, 2165, 3804, 540, 713, 1788, 568, 547, 7668, 15847, 2550, 630, 6943, 594, 543, 1826, 4083, 264, 609, 513, 1970, 21057, 2653, 3562, 14025, 2029, 602, 2337, 873, 4383, 741, 2068, 269, 12128, 5540, 811, 982, 476, 6110, 2929, 1004, 5001, 609, 606, 6059, 2333, 540, 827, 476, 13078, 2929, 676, 519, 1032, 476, 10711, 276, 269, 9603, 547, 519, 10565, 2333, 538, 519, 2208, 540, 3987, 267, 519, 1646, 540, 513, 1970, 21057, 543, 2500, 3926, 602, 2636, 2673, 5464, 540, 7280, 1377, 543, 5883, 519, 2068, 568, 540, 1164, 10083, 547, 519, 22078, 295, 607, 1134, 607, 824, 1158, 1072, 3906, 269, 1284, 723, 1486, 12111, 539, 513, 3209, 267, 9910, 4405, 1242, 630, 21653, 540, 513, 1402, 6853, 6079, 1070, 4625, 12616, 543, 5393, 1970, 21057, 7280, 15392, 1062, 269, 898, 5161, 540, 606, 5907, 2890, 577, 760, 799, 666, 2631, 7280, 19962, 547, 606, 7471, 6850, 23755, 4396, 15581, 9300, 269, 901, 3926, 568, 22280, 1016, 1673, 1069, 958, 1210, 513, 28106, 13549, 2861, 1972, 1807, 543, 5911, 8393, 31825, 519, 7280, 1239, 547, 606, 5007, 31092, 3926, 799, 6087, 6531, 2861, 1239, 4859, 543, 4393, 269, 634, 1985, 1900, 538, 13321, 713, 2029, 883, 513, 5010, 1587, 568, 519, 1646, 540, 6325, 543, 27249, 3157, 547, 1450, 585, 1164, 3917, 1752, 5663, 540, 519, 9300, 609, 1279, 3856, 538, 8686, 16343, 5106, 269, 769, 713, 18001, 594, 1788, 267, 649, 15974, 547, 25666, 267, 11126, 543, 1449, 519, 2773, 540, 519, 3926, 538, 8686, 527, 549, 543, 1287, 1449, 922, 12117, 1775, 606, 3964, 3662, 2203, 630, 337, 1846, 1916, 30048, 568, 513, 5312, 2068, 7133, 1472, 476, 6110, 2929, 1004, 5001, 543, 568, 3395, 693, 15435, 17114, 269, 12128, 2359, 3340, 513, 1434, 1852, 593, 3461, 781, 7280, 1377, 2429, 741, 3232, 1272, 269, 7351, 7280, 7893, 1949, 4125, 1753, 7280, 7397, 8506, 1973, 12772, 689, 9416, 533, 9581, 547, 2268, 3461, 781, 7280, 1377, 267, 476, 276, 268, 277, 2053, 513, 1554, 269, 589, 811, 6024, 7154, 540, 6482, 568, 946, 540, 10489, 583, 10389, 3457, 799, 723, 513, 5386, 13549, 543, 5911, 10198, 2469, 998, 2960, 543, 616, 4448, 547, 606, 5007, 11418, 1062, 799, 3800, 7280, 2157, 11179, 269, 4033, 982, 519, 2110, 10715, 540, 827, 476, 278, 2395, 267, 971, 10489, 583, 10389, 3457, 10460, 3968, 543, 2960, 16698, 4220, 607, 1134, 607, 4220, 540, 2152, 609, 6197, 543, 3926, 3350, 269, 13159, 569, 12616, 18032, 666, 581, 513, 3070, 547, 713, 1966, 543, 723, 1044, 519, 1445, 540, 1082, 1382, 3646, 269, 769, 713, 11556, 267, 649, 1459, 513, 1101, 540, 922, 2186, 267, 5393, 1507, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 306, 592, 2378, 1695, 19869, 592, 6428, 600, 1325, 5864, 518, 454, 17359, 7956, 12232, 901, 1353, 3800, 519, 6708, 547, 799, 12428, 18702, 661, 14566, 6267, 616, 3222, 540, 4874, 572, 3240, 538, 2296, 269, 898, 849, 27180, 2436, 519, 2296, 15334, 1377, 540, 12428, 18702, 661, 14566, 6267, 4249, 513, 1909, 538, 741, 2702, 547, 10646, 1063, 519, 1585, 10096, 540, 2296, 4874, 9895, 748, 1913, 267, 543, 2436, 789, 3068, 2042, 950, 789, 7237, 891, 1913, 538, 8966, 8658, 630, 328, 4318, 269, 519, 8658, 602, 2308, 519, 6905, 10096, 540, 519, 3077, 4874, 9895, 748, 1913, 269, 1677, 891, 7475, 267, 513, 8144, 1449, 538, 799, 519, 5171, 941, 4280, 547, 2285, 2407, 12428, 8144, 585, 19939, 2296, 5220, 729, 2966, 269, 634, 1913, 1930, 267, 2196, 267, 543, 1118, 941, 519, 3077, 4874, 9895, 748, 1913, 538, 713, 1353, 269, 634, 11778, 1397, 602, 12428, 18702, 661, 14566, 6267, 723, 2370, 4656, 540, 4874, 572, 3240, 538, 2296, 267, 543, 741, 2296, 15334, 1377, 1281, 1404, 513, 1909, 538, 741, 2702, 547, 10646, 1063, 519, 1114, 10096, 540, 2296, 4874, 9895, 748, 1913, 269, 898, 729, 849, 1336, 602, 12428, 18702, 661, 14566, 6267, 723, 1100, 2042, 27378, 519, 3119, 2495, 540, 519, 2296, 4874, 9895, 748, 1913, 269, 1717, 267, 789, 3068, 7411, 27378, 519, 6905, 10096, 540, 4874, 9895, 748, 1913, 538, 8966, 8658, 269, 5047, 267, 930, 12428, 18702, 661, 14566, 6267, 666, 7058, 519, 6905, 10096, 540, 519, 4874, 9895, 748, 1913, 789, 7237, 538, 5432, 8658, 267, 610, 950, 789, 1174, 930, 10291, 3177, 547, 771, 3711, 580, 10663, 891, 1913, 269, 901, 1353, 20147, 609, 930, 24099, 6286, 543, 7840, 585, 2417, 2090, 563, 313, 600, 8643, 267, 3212, 344, 2006, 282, 1234, 345, 2967, 267, 670, 657, 572, 514, 282, 717, 1301, 520, 8643, 267, 715, 20364, 570, 1695, 332, 848, 6798, 454, 11847, 564, 1438, 1148, 10306, 2218, 2557, 610, 17327, 4144, 611, 5255, 758, 1149, 529, 630, 7394, 5937, 291, 298, 264, 2982, 513, 23988, 585, 813, 26150, 543, 5868, 540, 5396, 609, 5711, 2173, 19318, 4524, 269, 27603, 267, 2495, 1652, 1913, 17279, 814, 1044, 8246, 538, 713, 4305, 543, 9251, 1453, 723, 2591, 609, 873, 269, 4475, 267, 649, 6322, 547, 3313, 930, 6209, 1913, 538, 1931, 547, 1449, 5711, 5937, 291, 298, 538, 14655, 6340, 9251, 1453, 269, 19893, 941, 476, 16318, 7363, 3384, 1453, 267, 630, 720, 2039, 476, 275, 268, 277, 1296, 1070, 945, 941, 4280, 547, 3132, 1315, 332, 582, 19508, 6390, 267, 575, 565, 29422, 270, 607, 1079, 6209, 14655, 1913, 543, 1315, 11985, 2389, 320, 268, 6390, 270, 607, 1875, 30087, 538, 6671, 5711, 5937, 291, 298, 4305, 269, 1284, 3379, 519, 942, 3144, 585, 476, 1015, 2389, 1307, 3728, 10221, 1431, 540, 1079, 6209, 14655, 1913, 543, 519, 2468, 1606, 22690, 629, 545, 20060, 1619, 2262, 1315, 11985, 2389, 320, 268, 6390, 28918, 16217, 520, 3301, 729, 1031, 547, 5173, 519, 3328, 942, 602, 5396, 3576, 547, 3132, 519, 3077, 3688, 269, 769, 476, 275, 268, 276, 1032, 2025, 1453, 267, 1496, 13528, 3121, 281, 1294, 1257, 316, 540, 942, 3144, 585, 476, 1015, 2389, 1307, 10221, 1431, 540, 1315, 11985, 2389, 320, 268, 6390, 267, 2138, 19508, 6390, 267, 575, 565, 29422, 270, 941, 1496, 13528, 3121, 281, 1294, 1257, 3910, 543, 1496, 13528, 3121, 281, 1294, 1257, 316, 7643, 6606, 267, 543, 538, 476, 276, 268, 277, 1032, 2025, 1453, 941, 1496, 13528, 3121, 281, 1294, 1257, 3910, 543, 1496, 13528, 3121, 281, 1294, 1257, 316, 7643, 6606, 269, 28454, 4951, 602, 519, 1292, 1198, 540, 1826, 540, 1913, 593, 5711, 1019, 611, 5255, 758, 1149, 529, 729, 1713, 630, 314, 13528, 3121, 281, 1294, 1257, 316, 1040, 5753, 7368, 6209, 1913, 1315, 332, 582, 19508, 6390, 267, 575, 565, 29422, 270, 5488, 982, 519, 1875, 30087, 1315, 11985, 2389, 320, 268, 6390, 28918, 11557, 543, 2085, 2188, 1185, 1100, 1198, 593, 942, 3144, 585, 17279, 540, 5711, 5937, 291, 298, 1449, 269, 898, 568, 6700, 602, 16594, 26935, 1235, 666, 946, 6209, 1913, 547, 7520, 5711, 5937, 291, 298, 1449, 585, 1453, 563, 30206, 281, 6736, 519, 1249, 602, 519, 9275, 6261, 619, 1014, 1893, 814, 1100, 7453, 2262, 1931, 267, 14655, 18702, 1453, 4043, 547, 946, 824, 25401, 2009, 9753, 540, 1641, 630, 306, 267, 8231, 630, 309, 267, 543, 1843, 630, 302, 14758, 982, 519, 590, 10976, 2497, 563, 306, 2174, 619, 267, 27508, 590, 282, 645, 2117, 549, 1111, 267, 15608, 454, 16248, 6901, 941, 5342, 547, 4983, 519, 2360, 540, 4693, 3562, 2389, 7434, 7648, 538, 6340, 2511, 267, 4909, 4908, 267, 543, 6340, 2557, 593, 8446, 540, 9275, 1913, 269, 769, 1840, 267, 519, 6901, 11567, 2436, 1022, 2360, 540, 17003, 13260, 1131, 581, 1110, 4327, 676, 13093, 2045, 1476, 639, 1464, 630, 328, 4318, 1421, 30827, 7411, 1040, 769, 15331, 476, 272, 267, 4693, 3562, 2389, 7434, 7648, 538, 6340, 2511, 4389, 519, 2949, 8446, 2773, 3379, 609, 2175, 5627, 1100, 6340, 16654, 13260, 269, 769, 1840, 267, 519, 2360, 540, 13260, 941, 3152, 585, 13093, 13443, 1476, 20608, 1913, 982, 585, 13093, 13443, 3982, 1913, 269, 769, 15331, 476, 273, 267, 7648, 538, 4909, 4908, 941, 1336, 547, 723, 1100, 1713, 2360, 593, 9275, 2262, 8446, 543, 1705, 711, 2170, 609, 30827, 7411, 269, 769, 15331, 476, 274, 267, 1079, 1114, 2409, 585, 8795, 6340, 2557, 941, 1336, 547, 723, 6697, 2942, 2360, 593, 9275, 2262, 6284, 543, 2147, 4205, 609, 30827, 7411, 269, 15788, 267, 519, 4681, 616, 5812, 609, 513, 13093, 2045, 3146, 23428, 8367, 267, 538, 799, 8383, 908, 2959, 540, 17974, 14428, 517, 2045, 13260, 602, 1860, 13093, 13443, 4143, 3601, 540, 4633, 6786, 666, 10556, 9275, 2262, 8446, 269, 769, 4334, 267, 13260, 538, 6724, 540, 519, 4633, 5365, 602, 798, 711, 1860, 13093, 13443, 4143, 3601, 616, 711, 4397, 547, 1860, 2949, 8446, 2773, 269, 20480, 540, 891, 4681, 585, 519, 2470, 543, 1646, 540, 30827, 11269, 616, 5941, 563, 2791, 2473, 340, 282, 9947, 335, 1263, 11809, 340, 282, 654, 11961, 1156, 16441, 282, 670, 7776, 932, 2967, 282, 1284, 328, 1261, 282, 1284, 328, 15651, 454, 314, 29020, 316, 1879, 2296, 18702, 1004, 6432, 547, 519, 1546, 583, 572, 327, 968, 14683, 268, 869, 892, 2262, 21903, 267, 16269, 1867, 6217, 2296, 1913, 269, 15371, 4457, 18702, 1004, 1867, 4457, 1913, 950, 6947, 547, 519, 21903, 267, 528, 2436, 1022, 4080, 1913, 1522, 581, 17047, 609, 7209, 7592, 607, 3105, 13753, 723, 7152, 585, 6947, 547, 2575, 538, 824, 4529, 267, 529, 1930, 547, 2243, 7868, 1459, 1353, 6322, 547, 2232, 713, 16804, 32325, 316, 589, 2698, 540, 476, 28143, 1318, 26370, 267, 11794, 13538, 630, 10082, 2021, 543, 476, 14530, 2367, 264, 941, 2016, 519, 21903, 1449, 543, 4280, 547, 2626, 519, 2098, 3089, 9007, 11860, 7795, 331, 2006, 7209, 18102, 630, 313, 298, 303, 304, 1040, 19853, 19591, 12402, 729, 6027, 676, 519, 1773, 8553, 1731, 268, 7079, 16217, 698, 4965, 11891, 630, 11901, 303, 1040, 314, 24342, 316, 1703, 729, 1100, 4008, 1198, 3823, 2901, 519, 14346, 303, 6060, 610, 519, 1297, 540, 4080, 4457, 1913, 689, 519, 21903, 15030, 1580, 20639, 2362, 593, 2098, 298, 303, 304, 5778, 339, 6291, 12845, 3806, 982, 2367, 7868, 1297, 540, 6209, 4457, 1913, 4080, 729, 17047, 609, 519, 2098, 298, 303, 304, 791, 14601, 14815, 5498, 22701, 267, 12000, 1833, 3620, 739, 1006, 25467, 2534, 8464, 2529, 727, 1913, 4080, 676, 5171, 945, 20639, 2362, 593, 891, 1614, 7592, 941, 1644, 538, 2495, 547, 1346, 10253, 16804, 314, 6962, 454, 296, 19816, 267, 5760, 531, 282, 5484, 5937, 14865, 267, 4425, 1794, 631, 454, 302, 1537, 26817, 611, 5255, 758, 1149, 529, 630, 24884, 298, 264, 4247, 616, 513, 1455, 1907, 585, 10442, 4633, 4713, 269, 15394, 267, 891, 4247, 4125, 10221, 1431, 540, 1875, 2914, 3581, 269, 898, 814, 1044, 6700, 602, 18110, 1483, 1913, 666, 581, 811, 5078, 585, 9251, 1453, 269, 1809, 267, 519, 1764, 540, 1210, 1483, 1913, 609, 10026, 1153, 1453, 814, 711, 1044, 6594, 2943, 269, 901, 1353, 11117, 5711, 5937, 291, 298, 3928, 585, 12355, 18702, 10026, 1153, 1453, 1210, 1875, 2914, 3581, 543, 1483, 1913, 269, 634, 5171, 941, 476, 2568, 1453, 267, 476, 280, 268, 1556, 1296, 2025, 267, 609, 3339, 4633, 543, 1893, 1646, 267, 945, 941, 4280, 547, 10956, 834, 6312, 10440, 257, 630, 12061, 30087, 264, 543, 834, 321, 1712, 8208, 257, 630, 3891, 11119, 1483, 2262, 1040, 4578, 21613, 519, 5413, 3622, 1336, 585, 1483, 2262, 17279, 609, 23021, 269, 5753, 3812, 1483, 1913, 5488, 982, 1875, 2914, 3581, 585, 782, 2085, 2516, 267, 543, 17279, 3928, 941, 2362, 585, 519, 4587, 1453, 269, 634, 4681, 2303, 602, 4946, 1483, 1913, 547, 519, 3044, 5711, 5937, 291, 298, 4305, 609, 10026, 1153, 1453, 949, 1683, 513, 811, 3102, 4605, 540, 522, 549, 2173, 19318, 1599, 563, 305, 1853, 320, 267, 667, 282, 5651, 27451, 6261, 1563, 525, 267, 589, 282, 3212, 10722, 531, 591, 2871, 807, 267, 589, 594, 282, 7054, 6403, 553, 18521, 615, 267, 631, 808, 282, 590, 9369, 5025, 10722, 926, 267, 631, 282, 3397, 340, 599, 334, 3657, 5894, 267, 589, 282, 681, 1393, 6261, 2946, 30959, 267, 590, 282, 14339, 337, 6403, 326, 22222, 6441, 648, 333, 345, 3570, 267, 589, 282, 14339, 337, 6403, 326, 22222, 5025, 326, 644, 601, 334, 267, 962, 282, 1325, 4472, 1228, 14765, 5174, 331, 5451, 345, 4302, 345, 267, 715, 282, 25661, 17144, 632, 3288, 27974, 6511, 267, 595, 282, 25592, 5451, 10722, 14162, 25575, 325, 517, 810, 267, 808, 589, 282, 30954, 22222, 16927, 10961, 14019, 267, 654, 282, 25661, 17144, 8566, 21838, 516, 549, 267, 595, 661, 282, 5548, 326, 5964, 5336, 324, 329, 17144, 267, 594, 667, 282, 22087, 8759, 6441, 6759, 19649, 267, 589, 282, 966, 1120, 4673, 5336, 528, 8046, 267, 661, 282, 4446, 686, 657, 19607, 5964, 267, 631, 667, 282, 7203, 659, 739, 16210, 5576, 23702, 345, 2006, 267, 631, 282, 1488, 24546, 6441, 553, 1440, 8759, 267, 808, 595, 454, 2414, 5352, 29708, 1239, 585, 519, 853, 549, 641, 6478, 4211, 565, 528, 3955, 12401, 1449, 538, 5053, 18702, 12963, 5095, 269, 634, 3732, 15538, 540, 476, 275, 267, 32699, 2635, 1453, 689, 8370, 2477, 538, 5824, 3013, 630, 2419, 850, 267, 18010, 267, 28130, 267, 30188, 267, 670, 1180, 32136, 267, 6792, 267, 3474, 16331, 599, 267, 18475, 267, 543, 17896, 22656, 264, 543, 8050, 269, 3962, 16045, 729, 13950, 519, 853, 549, 641, 6478, 4211, 565, 528, 3955, 12401, 1449, 607, 851, 540, 513, 3677, 5778, 17595, 1670, 6007, 269, 634, 853, 549, 641, 6478, 267, 853, 549, 641, 7822, 267, 853, 549, 641, 6478, 4211, 565, 528, 267, 543, 853, 549, 641, 3955, 12401, 8464, 941, 2343, 539, 1210, 2789, 5276, 1036, 11306, 543, 3044, 24017, 540, 15895, 2418, 269, 6520, 267, 2085, 273, 267, 3023, 267, 543, 1611, 1377, 540, 15366, 2069, 630, 7876, 14154, 264, 941, 3769, 607, 30661, 538, 519, 9382, 269, 634, 3803, 2789, 5276, 9695, 3631, 4951, 1292, 2360, 585, 2085, 593, 782, 8464, 267, 4849, 593, 853, 549, 641, 3955, 12401, 585, 30188, 267, 971, 602, 8464, 2799, 31085, 607, 513, 1599, 540, 2085, 269, 6520, 273, 4299, 853, 549, 641, 6478, 8464, 585, 782, 2477, 267, 853, 549, 641, 7822, 8464, 585, 28130, 267, 6792, 267, 18475, 267, 543, 8050, 282, 853, 549, 641, 6478, 4211, 565, 528, 8464, 585, 28130, 267, 6792, 267, 543, 3474, 16331, 599, 282, 543, 853, 549, 641, 3955, 12401, 8464, 585, 18010, 267, 30188, 267, 543, 8050, 269, 631, 10861, 292, 4299, 853, 549, 641, 6478, 8464, 585, 16266, 267, 6792, 267, 543, 17896, 22656, 282, 853, 549, 641, 7822, 8464, 585, 6792, 267, 17896, 22656, 267, 543, 8050, 282, 853, 549, 641, 6478, 4211, 565, 528, 8464, 585, 28130, 267, 30188, 267, 6792, 267, 17896, 22656, 543, 8050, 282, 543, 853, 549, 641, 268, 11328, 12401, 8464, 585, 28130, 267, 6792, 267, 543, 8050, 269, 11557, 4299, 853, 549, 641, 6478, 8464, 585, 8050, 267, 853, 549, 641, 7822, 8464, 585, 6792, 267, 543, 853, 549, 641, 3955, 12401, 585, 670, 1180, 32136, 269, 901, 568, 519, 4102, 5053, 18702, 12963, 29708, 1353, 538, 519, 1158, 267, 543, 621, 786, 1450, 5778, 17595, 5505, 689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26611, 16535, 270, 7090, 274, 454, 5814, 19523, 692, 339, 815, 703, 9272, 14061, 29328, 31156, 1721, 512, 271, 538, 2039, 6025, 2187, 825, 1193, 815, 3403, 14061, 29328, 4590, 825, 1193, 6352, 815, 7003, 19304, 994, 825, 16168, 815, 6936, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 1598, 6352, 2260, 273, 266, 272, 2187, 1038, 952, 2612, 263, 867, 19304, 5157, 8079, 910, 3921, 19304, 5157, 268, 272, 316, 4297, 11203, 2612, 263, 867, 19304, 314, 1598, 6352, 268, 272, 25829, 8079, 910, 3921, 19304, 314, 1598, 6352, 25829, 8079, 2187, 2018, 16168, 815, 8771, 454, 2018, 2736, 454, 825, 1820, 2891, 293, 22324, 257, 952, 16168, 3116, 834, 8253, 8342, 5500, 8442, 0, 258, 13207, 732, 2034, 8870, 267, 5595, 267, 543, 21642, 4632, 563, 3240, 4504, 815, 476, 271, 454, 3240, 293, 5979, 520, 815, 476, 271, 269, 271, 454, 3240, 18360, 815, 834, 5016, 258, 3367, 543, 4688, 606, 8870, 267, 5595, 267, 543, 21642, 547, 707, 4632, 563, 3240, 4504, 815, 703, 9272, 15405, 3240, 293, 5979, 520, 815, 10581, 9272, 15405, 3240, 18360, 815, 3403, 10797, 258, 7179, 519, 2040, 540, 1312, 8870, 4632, 593, 513, 1007, 1899, 563, 2745, 630, 3240, 4504, 266, 328, 2020, 258, 7179, 519, 2040, 540, 519, 5595, 4632, 593, 513, 1007, 1899, 563, 2745, 30044, 293, 5979, 520, 266, 323, 2020, 258, 1230, 13906, 523, 622, 543, 1820, 519, 21642, 4632, 593, 513, 1007, 1899, 454, 258, 634, 1412, 338, 262, 4756, 1657, 1058, 581, 9102, 1101, 563, 2745, 4433, 266, 3240, 18360, 994, 0, 258, 10574, 20988, 609, 25948, 9587, 3097, 5814, 21795, 607, 19073, 454, 5814, 11885, 607, 5286, 692, 4206, 815, 19073, 6185, 1092, 20988, 18828, 20179, 20120, 333, 263, 279, 267, 476, 275, 1070, 8161, 284, 9131, 320, 12887, 321, 12887, 322, 12887, 323, 12887, 324, 12887, 325, 12887, 326, 12887, 327, 262, 7481, 2745, 29254, 2020, 2745, 29254, 7456, 665, 9131, 320, 262, 7481, 2745, 29254, 7456, 665, 314, 9131, 320, 12887, 322, 12887, 321, 11172, 7481, 2745, 29254, 7456, 665, 9131, 320, 9166, 262, 325, 262, 7481, 2745, 29254, 7456, 665, 9131, 320, 9166, 262, 325, 262, 6012, 271, 7481, 2745, 29254, 7456, 665, 9131, 320, 9166, 262, 325, 262, 6012, 314, 271, 267, 272, 316, 7481, 2745, 29254, 7456, 665, 9131, 320, 9166, 262, 325, 262, 6012, 271, 7481, 2745, 29254, 7456, 665, 9131, 320, 9166, 262, 325, 3299, 271, 281, 274, 8079, 0, 18411, 2237, 513, 17877, 1982, 547, 1039, 513, 8473, 630, 325, 2683, 609, 476, 271, 781, 264, 1472, 606, 4540, 5044, 269, 22322, 2750, 4624, 19243, 912, 24314, 5044, 912, 314, 314, 476, 272, 269, 476, 272, 269, 476, 272, 24358, 314, 476, 272, 269, 476, 272, 269, 476, 272, 24358, 314, 476, 272, 269, 476, 272, 269, 476, 272, 20426, 2639, 272, 593, 519, 8473, 543, 476, 271, 3330, 538, 519, 5044, 454, 314, 314, 476, 271, 269, 476, 271, 269, 476, 271, 269, 476, 271, 269, 476, 271, 24358, 5541, 2483, 314, 476, 271, 269, 476, 271, 269, 476, 271, 269, 476, 271, 269, 476, 271, 20426, 2639, 18411, 5814, 11885, 607, 5286, 454, 541, 815, 5286, 269, 2158, 9230, 274, 267, 274, 4917, 2745, 263, 541, 2020, 541, 815, 5286, 4877, 611, 263, 541, 267, 25247, 318, 12296, 284, 272, 31599, 1712, 8782, 6247, 656, 3299, 6247, 656, 28767, 284, 271, 994, 2745, 263, 541, 264, 0, 5814, 11885, 607, 5286, 692, 258, 314, 271, 476, 272, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 2639, 1551, 815, 5286, 30784, 1052, 263, 1015, 2020, 2745, 19906, 2020, 2745, 19906, 314, 276, 20285, 2745, 19906, 314, 276, 281, 279, 20285, 1551, 314, 276, 281, 279, 316, 815, 1496, 1321, 2639, 2745, 19906, 2020, 331, 560, 815, 1496, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 2639, 2745, 10857, 560, 314, 276, 7481, 2745, 10857, 560, 314, 276, 281, 279, 20285, 331, 560, 314, 276, 281, 279, 316, 815, 1496, 1321, 2639, 2745, 10857, 560, 994, 0, 5814, 21267, 28272, 607, 12301, 692, 343, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 2639, 344, 815, 1496, 7906, 267, 2004, 267, 7367, 267, 4366, 267, 5325, 267, 5392, 267, 5379, 6540, 258, 10823, 19502, 3287, 11971, 994, 258, 10823, 19502, 3287, 11971, 267, 10233, 8782, 13582, 5073, 258, 10823, 19502, 3287, 11971, 267, 10233, 8782, 13582, 3299, 1467, 12296, 284, 275, 994, 258, 10823, 19502, 3287, 11971, 267, 10233, 8782, 13582, 3299, 1467, 12296, 284, 275, 267, 4802, 5598, 8782, 25346, 1540, 17210, 10823, 11859, 16932, 3488, 1485, 5073, 10823, 269, 29786, 3488, 31184, 5073, 10823, 26644, 3488, 933, 1430, 5073, 10823, 19502, 3287, 11971, 267, 10233, 8782, 13582, 3299, 1467, 12296, 284, 275, 267, 4802, 5598, 8782, 25346, 1540, 17210, 10823, 20481, 3890, 0, 5814, 26417, 454, 5228, 10070, 1104, 22388, 692, 5976, 1930, 3488, 11907, 273, 27406, 10807, 607, 26417, 18316, 912, 453, 322, 12364, 318, 1348, 518, 815, 26417, 6185, 1112, 5649, 518, 6262, 12364, 18316, 994, 28768, 453, 331, 4833, 6831, 3300, 815, 22388, 4590, 28768, 22610, 4737, 538, 26417, 318, 1348, 518, 912, 453, 453, 331, 4833, 6831, 3300, 269, 26303, 21405, 9131, 299, 16722, 13480, 539, 4415, 262, 4940, 20889, 3488, 282, 10807, 2020, 4848, 454, 331, 16722, 815, 11713, 16647, 983, 640, 815, 11713, 1721, 6221, 538, 1893, 6831, 3300, 269, 2865, 318, 21720, 263, 1428, 2187, 453, 331, 16722, 6910, 263, 14403, 314, 271, 7481, 453, 16647, 983, 640, 6910, 263, 14403, 314, 272, 7481, 28768, 2745, 10857, 16722, 994, 2745, 9638, 641, 983, 640, 264, 0, 5814, 4584, 548, 1948, 2224, 585, 17626, 1436, 454, 5035, 5927, 281, 28768, 22592, 6449, 8181, 9191, 1345, 2187, 453, 19677, 20508, 815, 1412, 7055, 453, 19677, 4732, 531, 815, 476, 271, 454, 22592, 1305, 4311, 267, 4067, 267, 15680, 2567, 28768, 453, 19677, 20508, 815, 2012, 454, 453, 19677, 4732, 531, 815, 2892, 454, 22592, 7006, 4311, 2187, 453, 13537, 4311, 20508, 267, 1345, 4732, 531, 2020, 5035, 1449, 912, 22592, 1305, 4311, 22698, 640, 2567, 28768, 453, 19677, 6983, 640, 815, 2749, 454, 22592, 7006, 4311, 2187, 453, 13537, 4311, 6983, 640, 994, 28768, 4848, 454, 324, 272, 815, 5927, 4590, 324, 273, 815, 5927, 4590, 324, 274, 815, 5927, 10797, 339, 815, 1449, 4590, 339, 15630, 2891, 7666, 21186, 520, 15419, 324, 272, 15630, 3488, 31162, 520, 272, 3299, 1911, 876, 994, 324, 273, 15630, 3488, 31162, 520, 273, 3299, 1220, 876, 994, 324, 274, 15630, 3488, 31162, 520, 274, 3299, 4968, 876, 2020, 325, 815, 1930, 2891, 11391, 17902, 14824, 342, 321, 5602, 28744, 263, 15276, 9638, 1157, 548, 6155, 2794, 4917, 335, 1157, 548, 6155, 2794, 16216, 272, 267, 325, 994, 335, 1157, 548, 6155, 2794, 16216, 273, 267, 325, 994, 335, 1157, 548, 6155, 2794, 6025, 267, 325, 994, 335, 1157, 548, 6155, 2794, 16216, 274, 267, 325, 994, 325, 25379, 3890, 0, 3698, 1449, 10031, 453, 338, 815, 476, 271, 454, 22610, 1775, 538, 1496, 272, 267, 273, 267, 274, 14158, 453, 453, 338, 6834, 1775, 454, 13537, 4433, 994, 11687, 10797, 338, 815, 476, 271, 454, 1721, 1775, 538, 1496, 272, 267, 273, 267, 274, 14158, 453, 338, 6834, 1775, 454, 2745, 4433, 264, 0, 18411, 12133, 2433, 946, 547, 7696, 513, 2016, 1239, 593, 513, 2016, 2990, 692, 604, 2016, 1341, 557, 2990, 568, 856, 540, 2039, 1287, 27315, 581, 2015, 607, 513, 7003, 540, 1592, 454, 663, 952, 2016, 910, 557, 2990, 568, 856, 540, 2039, 1287, 27315, 581, 2015, 607, 513, 476, 271, 4994, 1871, 454, 18411, 331, 560, 272, 815, 1592, 263, 9792, 263, 272, 267, 1556, 4917, 2745, 10857, 560, 272, 2020, 258, 331, 560, 272, 27044, 263, 274, 267, 15886, 994, 331, 560, 272, 27044, 263, 274, 267, 314, 4200, 267, 280, 7481, 2745, 10857, 560, 272, 2020, 331, 560, 272, 27044, 8987, 272, 267, 31275, 994, 2745, 10857, 560, 272, 2020, 331, 560, 272, 27044, 263, 2004, 267, 280, 994, 2745, 10857, 560, 272, 2020, 331, 560, 272, 27044, 8987, 2004, 267, 280, 994, 2745, 10857, 560, 272, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2111, 547, 2047, 4308, 609, 519, 12376, 619, 543, 1131, 849, 581, 538, 513, 2990, 547, 2706, 574, 2821, 6392, 593, 519, 2829, 1282, 13882, 1848, 634, 5137, 540, 513, 3844, 6392, 896, 519, 1216, 18591, 693, 1612, 609, 519, 8713, 290, 289, 568, 849, 593, 519, 606, 341, 559, 269, 2334, 568, 519, 2601, 267, 519, 2959, 3773, 267, 1946, 5742, 1216, 14012, 772, 2742, 13225, 691, 328, 568, 11319, 585, 3432, 344, 8574, 540, 519, 1876, 585, 799, 1352, 568, 1256, 21959, 1359, 1489, 689, 782, 20453, 267, 1519, 26110, 538, 1200, 1378, 2229, 563, 17606, 630, 21551, 540, 717, 18553, 2920, 264, 568, 2731, 7294, 855, 621, 568, 711, 7543, 2223, 15516, 13225, 691, 328, 1185, 1767, 5063, 1934, 563, 763, 5742, 5211, 1234, 27896, 566, 12080, 267, 849, 18188, 676, 772, 2742, 13225, 691, 328, 267, 814, 1044, 6849, 4666, 331, 4169, 609, 519, 717, 18553, 5757, 16935, 2829, 267, 4481, 31579, 541, 752, 8518, 543, 31579, 541, 21423, 267, 602, 723, 8507, 538, 15991, 1022, 6454, 538, 519, 1533, 540, 12602, 540, 11788, 10579, 715, 732, 526, 571, 3525, 328, 779, 16529, 21601, 9564, 717, 1052, 1788, 563, 15253, 6160, 800, 1483, 6066, 2228, 5464, 540, 2498, 23308, 11166, 689, 6080, 949, 849, 4137, 538, 519, 8908, 267, 519, 2959, 1767, 269, 968, 763, 8713, 290, 289, 4857, 476, 278, 5038, 14407, 569, 3542, 5024, 6080, 17579, 532, 741, 2498, 1663, 757, 2047, 883, 519, 717, 18553, 610, 998, 922, 29815, 2456, 269, 7464, 6066, 5464, 1949, 723, 1044, 8704, 538, 476, 4649, 277, 4559, 856, 540, 799, 476, 22446, 4559, 723, 2907, 1044, 4448, 547, 513, 3844, 7746, 269, 634, 6967, 616, 547, 581, 2944, 676, 4728, 476, 1001, 278, 2223, 2959, 538, 519, 715, 10157, 294, 1767, 267, 4946, 267, 968, 2026, 519, 4853, 2498, 1663, 757, 616, 3743, 585, 5176, 476, 1839, 829, 1298, 540, 5757, 5533, 267, 998, 519, 6069, 2920, 519, 2229, 1131, 2119, 547, 1118, 621, 25471, 585, 782, 6080, 17579, 532, 741, 2498, 1663, 757, 883, 519, 717, 18553, 547, 3888, 1483, 6066, 5464, 1949, 3034, 13707, 476, 4375, 273, 10034, 4092, 538, 476, 276, 2101, 2829, 540, 519, 717, 18553, 16935, 281, 31579, 541, 752, 8518, 267, 31579, 541, 21423, 267, 4437, 9618, 267, 808, 327, 1046, 8518, 543, 4639, 19377, 563, 13707, 4396, 3653, 5108, 281, 476, 1691, 267, 1822, 11973, 19726, 829, 1554, 454, 10666, 476, 279, 267, 876, 267, 1822, 4683, 10820, 1219, 1815, 622, 538, 519, 1930, 1472, 519, 5757, 454, 763, 5757, 3568, 811, 982, 476, 272, 269, 276, 2929, 4551, 829, 1984, 4106, 516, 538, 24430, 11446, 328, 1141, 1930, 1219, 1815, 566, 543, 705, 331, 1903, 616, 1455, 563, 13707, 21137, 5108, 538, 519, 717, 18553, 16935, 2829, 568, 811, 982, 476, 1321, 267, 1822, 2929, 30184, 829, 1554, 454, 294, 777, 538, 2126, 540, 21137, 3653, 568, 827, 476, 277, 267, 31172, 2929, 30184, 829, 1554, 0, 25802, 31418, 1176, 267, 595, 4900, 616, 835, 540, 519, 1360, 4749, 19481, 10760, 5017, 538, 519, 6607, 269, 27016, 267, 3657, 789, 7715, 585, 2386, 286, 3509, 1004, 1118, 12161, 524, 4900, 585, 986, 26223, 538, 1455, 269, 4256, 10486, 543, 3337, 1118, 621, 2352, 585, 873, 547, 581, 21630, 950, 538, 519, 22839, 563, 2005, 779, 3833, 513, 1455, 6429, 585, 1004, 547, 5544, 1079, 524, 4900, 9361, 829, 3481, 593, 513, 3529, 1107, 4849, 267, 789, 616, 4440, 986, 26223, 543, 711, 524, 4900, 269, 6936, 267, 24497, 839, 6140, 8038, 610, 1964, 607, 513, 6292, 267, 1247, 524, 4900, 4782, 10760, 538, 2516, 269, 28527, 689, 519, 1482, 1920, 267, 789, 1205, 6772, 11474, 1360, 1419, 563, 290, 4900, 267, 1373, 513, 1360, 1914, 762, 2249, 267, 616, 1419, 2938, 1851, 1004, 22286, 797, 539, 2127, 269, 2290, 1522, 1265, 7411, 538, 7157, 1114, 11868, 1063, 513, 7715, 543, 513, 986, 1597, 10760, 538, 519, 6607, 269, 8616, 267, 950, 538, 2673, 1107, 609, 513, 2370, 2259, 543, 1344, 267, 596, 666, 3362, 16174, 519, 1079, 269, 1703, 5749, 1406, 513, 1360, 1164, 1297, 540, 3604, 267, 607, 782, 5017, 10362, 547, 519, 4856, 341, 13160, 1920, 723, 1082, 10486, 1932, 269, 8616, 267, 1883, 17084, 666, 2141, 948, 596, 19665, 513, 986, 1597, 689, 513, 7715, 563, 16665, 3367, 281, 3657, 595, 4900, 10164, 550, 1923, 1215, 12829, 616, 595, 4900, 543, 24497, 839, 888, 763, 4856, 341, 13160, 1920, 2882, 513, 3099, 540, 5017, 1107, 24497, 839, 267, 595, 4900, 267, 808, 904, 267, 13544, 323, 9155, 267, 4012, 335, 625, 543, 1726, 788, 625, 267, 2428, 28755, 1188, 619, 267, 3092, 1421, 1924, 267, 1215, 798, 649, 917, 799, 568, 799, 888, 14611, 3604, 1063, 524, 4900, 543, 986, 26223, 912, 290, 4900, 543, 986, 26223, 616, 4583, 585, 741, 19782, 1190, 2081, 540, 10122, 1426, 543, 17005, 538, 4683, 1242, 5054, 269, 1452, 1079, 3345, 1977, 3109, 18346, 4866, 547, 519, 1482, 4856, 341, 13160, 1920, 543, 1413, 2147, 855, 1896, 10058, 7592, 899, 741, 2623, 267, 2168, 4162, 267, 543, 7226, 5693, 10646, 873, 689, 835, 1776, 563, 763, 1034, 1271, 1114, 11868, 2188, 1063, 595, 4900, 543, 24497, 839, 912, 2304, 1271, 8446, 3815, 568, 986, 26223, 616, 5469, 2406, 3677, 982, 2937, 524, 4900, 543, 2039, 538, 513, 2450, 6251, 547, 513, 2699, 26904, 17761, 330, 269, 634, 524, 4900, 616, 513, 2370, 8273, 982, 513, 3044, 25190, 517, 269, 595, 4900, 723, 21743, 17207, 6466, 986, 26223, 1413, 14132, 1512, 267, 543, 3425, 666, 2697, 873, 1510, 10822, 22811, 338, 1256, 689, 513, 1279, 3845, 563, 16665, 3367, 281, 1684, 524, 4900, 3548, 25190, 517, 5798, 286, 1923, 4208, 798, 524, 4900, 4323, 25190, 976, 888, 309, 5914, 4992, 543, 7125, 454, 290, 4900, 685, 4992, 616, 1164, 8486, 3481, 543, 678, 5684, 344, 267, 855, 986, 26223, 723, 4514, 8937, 339, 1116, 7125, 602, 3280, 543, 13469, 811, 17860, 269, 634, 524, 4900, 6140, 2048, 322, 1177, 685, 1247, 519, 986, 26223, 2048, 23145, 752, 17483, 290, 4900, 616, 1514, 5017, 267, 3597, 543, 28532, 538, 1804, 1166, 4169, 269, 24497, 839, 616, 26982, 2678, 267, 1447, 1514, 267, 543, 25644, 30062, 5017, 267, 543, 6292, 1055, 609, 741, 29982, 269, 24497, 839, 616, 1419, 2938, 5702, 829, 3481, 538, 4054, 540, 11614, 563, 13828, 524, 4900, 543, 986, 26223, 616, 19035, 540, 3425, 269, 24497, 839, 616, 9602, 543, 556, 5477, 5017, 267, 4782, 22072, 19069, 9249, 267, 543, 2661, 538, 2647, 268, 13449, 8916, 602, 1810, 1406, 723, 1454, 1480, 9525, 269, 595, 4900, 616, 811, 22537, 5017, 543, 8853, 1134, 538, 4683, 2127, 1851, 3425, 269, 24497, 839, 616, 4584, 1512, 538, 21224, 543, 9870, 741, 3885, 982, 524, 4900, 563, 4407, 891, 616, 1360, 4122, 5018, 1271, 2188, 585, 741, 8760, 267, 972, 568, 1869, 513, 2603, 547, 581, 1634, 827, 891, 1079, 2249, 540, 519, 4856, 341, 13160, 1920, 269, 1452, 14421, 641, 13457, 2249, 666, 581, 1336, 3262, 2066, 1585, 2694, 540, 519, 1158, 543, 666, 723, 9862, 4162, 1759, 593, 519, 6753, 789, 8853, 269, 4256, 1426, 2707, 543, 1514, 2623, 666, 4268, 689, 1747, 547, 1747, 563, 21008, 2581, 5750, 1063, 524, 4900, 543, 986, 26223, 912, 13828, 524, 4900, 543, 986, 26223, 616, 11212, 10995, 5017, 543, 941, 5393, 5363, 3190, 12310, 1282, 2112, 2053, 538, 3504, 2053, 269, 22702, 547, 5152, 18346, 267, 524, 4900, 543, 986, 26223, 723, 8101, 8513, 543, 1118, 14845, 610, 544, 3291, 548, 13047, 27132, 563, 305, 822, 839, 723, 9867, 6863, 1519, 575, 4026, 13530, 267, 8325, 17285, 968, 339, 758, 892, 4992, 267, 543, 8937, 339, 1116, 5186, 6545, 269, 5525, 723, 8810, 602, 986, 26223, 616, 5827, 540, 10655, 3407, 3688, 267, 543, 2663, 789, 666, 581, 1031, 607, 2645, 610, 607, 5370, 585, 30550, 269, 24497, 839, 849, 666, 1544, 585, 519, 2104, 609, 891, 1919, 269, 4107, 986, 26223, 1628, 741, 9566, 593, 519, 1283, 540, 513, 1804, 3529, 610, 513, 29384, 267, 543, 1762, 3283, 2611, 538, 519, 9566, 585, 513, 3923, 689, 4332, 563, 290, 4900, 723, 513, 4356, 540, 10655, 21743, 17960, 543, 2663, 789, 946, 873, 585, 4123, 269, 4340, 547, 6177, 6530, 267, 5017, 1205, 4299, 676, 519, 3280, 540, 21743, 1919, 267, 543, 8086, 540, 519, 1919, 2306, 741, 5075, 20747, 563, 2710, 524, 4900, 543, 986, 26223, 1205, 2059, 888, 5591, 267, 789, 1522, 2097, 689, 519, 1482, 4856, 341, 13160, 1920, 267, 855, 789, 1810, 1406, 1205, 2059, 538, 2470, 269, 634, 524, 4900, 723, 513, 4356, 540, 1166, 12177, 1927, 547, 4254, 513, 986, 1597, 267, 8164, 621, 13788, 741, 8513, 563, 1103, 20718, 11182, 267, 789, 20496, 1142, 824, 6140, 855, 17573, 12959, 543, 7526, 4755, 1063, 873, 269, 4762, 26555, 4755, 1282, 5631, 519, 21224, 4005, 950, 28164, 543, 11975, 2097, 2282, 547, 513, 9566, 563, 13828, 519, 2249, 25864, 3444, 1142, 824, 779, 10092, 543, 11182, 5631, 1317, 1312, 723, 1114, 9249, 543, 5615, 269, 769, 3871, 1141, 789, 616, 593, 519, 1413, 719, 585, 1426, 1519, 10122, 1507, 29068, 267, 4189, 9178, 539, 4703, 267, 610, 824, 5017, 685, 5798, 607, 741, 6980, 949, 2322, 873, 3068, 11325, 563, 2252, 513, 986, 1597, 26136, 883, 519, 7715, 779, 8513, 267, 524, 4900, 1831, 10728, 543, 4431, 609, 31743, 267, 4254, 6883, 267, 543, 13047, 1944, 547, 5397, 986, 26223, 2476, 689, 741, 9566, 267, 14322, 873, 547, 581, 11975, 547, 741, 1762, 3283, 563, 8005, 568, 21273, 281, 524, 4900, 610, 986, 26223, 888, 305, 822, 839, 616, 1454, 21273, 982, 524, 4900, 269, 22702, 547, 524, 4900, 267, 986, 26223, 4194, 4987, 2861, 2042, 609, 8897, 543, 723, 1390, 2792, 1983, 269, 1809, 524, 4900, 723, 1434, 3965, 1379, 267, 543, 3362, 2697, 3425, 685, 11132, 2934, 543, 6430, 7247, 547, 3972, 543, 7247, 547, 711, 563, 5278, 29622, 6961, 602, 986, 26223, 543, 524, 4900, 949, 2445, 21743, 3615, 543, 1256, 17932, 1480, 1913, 899, 1612, 12783, 269, 5525, 7152, 602, 789, 666, 1293, 2338, 543, 849, 3180, 679, 332, 640, 1996, 1004, 945, 10413, 610, 16091, 873, 563, 290, 4900, 543, 986, 26223, 616, 8325, 2914, 26860, 5017, 543, 1397, 1360, 11029, 3604, 538, 875, 741, 4987, 28107, 269, 4256, 1966, 6061, 543, 2792, 1983, 948, 873, 547, 8853, 538, 782, 5054, 269, 5637, 2249, 616, 1134, 2613, 539, 538, 9467, 543, 3046, 18146, 563, 306, 1545, 6961, 543, 1397, 602, 741, 11015, 9010, 2409, 543, 1907, 2987, 28124, 2553, 3592, 6474, 610, 9765, 519, 4987, 540, 513, 32315, 345, 2465, 563, 19136, 3455, 538, 2450, 281, 595, 4900, 610, 24497, 839, 888, 305, 822, 839, 616, 5230, 1532, 2683, 4158, 5017, 267, 3648, 3677, 543, 3532, 982, 1507, 543, 6366, 538, 2450, 524, 4900, 269, 24497, 839, 723, 695, 698, 4445, 20034, 720, 17207, 1472, 519, 8405, 267, 7429, 524, 4900, 563, 763, 1034, 1271, 8446, 4183, 568, 741, 2949, 2450, 267, 543, 723, 30326, 1114, 21217, 2938, 1247, 789, 8038, 563, 290, 4900, 1332, 909, 547, 606, 16977, 3259, 540, 476, 1626, 547, 476, 2641, 6279, 1247, 986, 26223, 1332, 909, 547, 476, 2641, 6279, 547, 476, 2918, 6279, 269, 595, 4900, 666, 9260, 1472, 476, 736, 13728, 1247, 986, 26223, 9260, 1472, 476, 2412, 13728, 1107, 3592, 5595, 519, 2597, 540, 513, 7715, 563, 2304, 2937, 7715, 814, 513, 12209, 3966, 8151, 689, 476, 273, 3952, 547, 476, 274, 3952, 267, 1247, 986, 26223, 723, 513, 13617, 1606, 3966, 2039, 689, 476, 274, 547, 476, 275, 3952, 2647, 609, 513, 3532, 543, 8273, 3915, 563, 288, 29114, 3623, 17924, 8291, 666, 948, 547, 2697, 519, 3109, 12704, 10760, 538, 519, 6607, 269, 595, 4900, 685, 2766, 17207, 616, 540, 519, 1482, 3259, 543, 723, 10178, 11057, 8728, 269, 24497, 839, 685, 2766, 17207, 18613, 513, 14776, 269, 769, 824, 1913, 267, 789, 1413, 899, 530, 8354, 11057, 21217, 609, 3476, 1647, 17207, 563, 13828, 524, 4900, 543, 986, 26223, 723, 678, 1112, 531, 1490, 30178, 610, 31953, 2044, 17207, 1472, 519, 581, 752, 267, 855, 986, 26223, 685, 3382, 3368, 540, 741, 3915, 563, 8005, 568, 811, 7874, 547, 3425, 281, 524, 4900, 610, 986, 26223, 888, 13828, 986, 26223, 543, 524, 4900, 616, 1447, 3659, 17067, 547, 3425, 269, 5637, 3109, 18346, 616, 2404, 609, 2669, 543, 2112, 267, 3425, 2760, 4782, 547, 6318, 873, 607, 10130 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 22177, 3546, 1780, 692, 3546, 1948, 2878, 30995, 396, 504, 396, 508, 396, 507, 396, 499, 396, 355, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 20330, 1038, 2132, 546, 1235, 692, 825, 1219, 12337, 5091, 626, 1734, 318, 821, 318, 31467, 4311, 267, 2473, 2187, 1038, 8173, 1038, 31560, 9924, 10948, 25986, 20434, 31224, 476, 13077, 4736, 13150, 3378, 9326, 17221, 3264, 20413, 3264, 21833, 9686, 7846, 17095, 3522, 21833, 9686, 26281, 476, 16021, 13150, 13833, 26281, 476, 26580, 10948, 7549, 26281, 11714, 2473, 15800, 17095, 3522, 21833, 9686, 26281, 476, 4344, 4814, 23845, 4814, 13833, 3378, 10948, 4709, 26281, 476, 26580, 10948, 7549, 26281, 454, 1363, 11714, 1582, 269, 311, 17601, 267, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 9326, 16068, 9686, 4138, 4709, 16044, 484, 4138, 7549, 6459, 21660, 9686, 476, 16021, 13150, 13833, 9924, 9261, 4138, 18194, 31606, 21162, 9261, 4138, 563, 1038, 8173, 1038, 1003, 15305, 815, 2473, 17482, 314, 271, 2639, 1038, 1003, 17601, 815, 1582, 269, 311, 17601, 17482, 314, 271, 2639, 1038, 546, 1235, 815, 5286, 25910, 9230, 11133, 15305, 267, 1003, 17601, 4917, 1038, 585, 1775, 538, 2039, 16325, 15305, 2187, 2018, 476, 19399, 19399, 5992, 454, 2018, 1948, 570, 7495, 302, 281, 14030, 4449, 3546, 1948, 454, 2018, 1948, 31560, 9924, 10948, 25986, 20434, 31224, 561, 273, 476, 13077, 4736, 13150, 3378, 9326, 17221, 3264, 20413, 3264, 21833, 9686, 7846, 1775, 268, 13953, 476, 16021, 13150, 476, 26580, 10948, 7549, 26281, 15800, 11714, 4736, 27671, 4138, 476, 4344, 4814, 23845, 4814, 13833, 3378, 10948, 21162, 9261, 4138, 1948, 454, 2018, 1948, 476, 26580, 10948, 18547, 9261, 4138, 267, 30935, 10528, 25986, 28476, 476, 16417, 13194, 7846, 23783, 4344, 19277, 11714, 546, 1235, 5157, 267, 2433, 4940, 4449, 19930, 1948, 454, 2018, 1948, 2843, 507, 3264, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 13953, 16021, 5286, 7456, 1400, 326, 8542, 768, 14061, 14030, 672, 1948, 454, 2018, 476, 19399, 19399, 5992, 454, 2018, 1948, 2878, 30995, 396, 507, 396, 494, 396, 356, 396, 494, 396, 505, 396, 508, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 22177, 2018, 1780, 692, 2018, 1948, 2878, 30995, 396, 504, 396, 508, 396, 507, 396, 499, 396, 355, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 20330, 1038, 2132, 546, 1235, 692, 825, 1219, 12337, 5091, 626, 1734, 5332, 334, 318, 5979, 3591, 4311, 267, 2473, 2187, 1038, 8173, 1038, 31560, 9924, 10948, 25986, 20434, 31224, 476, 13077, 4736, 13150, 3378, 9326, 17221, 3264, 20413, 3264, 21833, 9686, 7846, 17095, 3522, 21833, 9686, 26281, 476, 16021, 13150, 13833, 26281, 476, 26580, 10948, 7549, 26281, 11714, 2473, 15800, 17095, 3522, 21833, 9686, 26281, 476, 4344, 4814, 23845, 4814, 13833, 3378, 10948, 4709, 26281, 476, 26580, 10948, 7549, 26281, 454, 1363, 11714, 1582, 269, 311, 17601, 267, 14359, 3264, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 9326, 16044, 484, 4138, 7549, 6459, 263, 9924, 1916, 1038, 8173, 1038, 1003, 15305, 815, 2473, 17482, 314, 271, 2639, 1038, 1003, 17601, 815, 1582, 269, 311, 17601, 17482, 314, 271, 2639, 1038, 546, 1235, 815, 5286, 25910, 9230, 11133, 15305, 267, 1003, 17601, 4917, 1038, 476, 19399, 19399, 2971, 7462, 454, 1038, 1948, 570, 7495, 302, 281, 14030, 14030, 1948, 454, 1038, 1948, 31560, 9924, 10948, 25986, 20434, 31224, 476, 13077, 4736, 13150, 3378, 9326, 17221, 3264, 561, 273, 20413, 3264, 21833, 9686, 7846, 11714, 4736, 27671, 4138, 476, 16021, 13150, 476, 26580, 10948, 18547, 9261, 4138, 15800, 476, 4344, 4814, 23845, 4814, 13833, 3378, 10948, 21162, 9261, 4138, 672, 1948, 454, 1038, 1948, 476, 26580, 10948, 18547, 9261, 4138, 25338, 3264, 13194, 15800, 4736, 10528, 17201, 9841, 13194, 13833, 3522, 17221, 9326, 476, 9326, 8563, 21162, 17153, 16044, 484, 4138, 7549, 6459, 13833, 267, 15800, 11012, 3378, 17153, 13077, 17221, 16021, 476, 16417, 13194, 7846, 23783, 4344, 19277, 11714, 546, 1235, 1948, 454, 1038, 1948, 14030, 14030, 11434, 1948, 454, 1038, 1948, 31560, 9924, 18194, 17201, 21833, 21162, 15800, 4736, 10528, 17201, 9841, 13194, 13833, 28476, 476, 4344, 17201, 9841, 7549, 3378, 25338, 3522, 13194, 13833, 9924, 3264, 16068, 10528, 3264, 13077, 30530, 4138, 11012, 20413, 3522, 4736, 4736, 4138, 27593, 9261, 4138, 282, 19930, 1948, 454, 1038, 1948, 14359, 3264, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 9326, 20413, 20046, 19757, 13833, 15800, 13194, 1085, 27251, 15800, 5286, 7456, 1400, 326, 8542, 768, 14061, 4449, 672, 1948, 454, 1038, 476, 19399, 19399, 2971, 7462, 454, 1038, 1948, 2878, 30995, 396, 507, 396, 494, 396, 356, 396, 494, 396, 505, 396, 508, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 22177, 1038, 1780, 692, 1038, 1948, 2878, 30995, 396, 504, 396, 508, 396, 507, 396, 499, 396, 355, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 20330, 1038, 2132, 546, 1235, 692, 825, 1219, 3589, 9078, 629, 1564, 4311, 267, 546, 1235, 267, 737, 284, 272, 2187, 1038, 8173, 1038, 2843, 494, 4814, 15671, 7846, 9261, 12811, 4344, 9924, 912, 1038, 910, 546, 1235, 281, 20413, 3522, 4736, 4736, 4138, 8563, 476, 13077, 4736, 13150, 3378, 9326, 17221, 13953, 476, 13077, 13194, 9261, 3264, 13077, 630, 11133, 15305, 267, 1003, 17601, 2020, 1038, 31560, 5284, 371, 8563, 13077, 27569, 3522, 20046, 912, 1038, 910, 586, 281, 20413, 3522, 4736, 4736, 4138, 8563, 10780, 16417, 9686, 4736, 18547, 13194, 31606, 21162, 17153, 20413, 20046, 30718, 454, 1038, 8173, 1038, 1003, 15305, 815, 546, 1235, 17482, 314, 271, 2639, 1038, 586, 28177, 815, 5286, 25910, 16325, 15305, 994, 1038, 585, 1775, 538, 2039, 16325, 15305, 2187, 2018, 1948, 20413, 3522, 4736, 4736, 4138, 8563, 11012, 20413, 20046, 18547, 9261, 4138, 737, 25338, 20434, 21833, 3522, 13953, 20732, 4138, 17153, 11012, 25974, 29391, 3264, 13953, 1775, 268, 13953, 476, 16021, 13150, 476, 26580, 10948, 24012, 454, 2018, 14191, 14729, 815, 11713, 2018, 476, 19399, 19399, 2971, 7462, 454, 2018, 1948, 570, 7495, 302, 281, 14030, 14030, 1948, 454, 2018, 1948, 2843, 502, 4736, 10528, 17201, 9841, 13194, 7846, 13953, 16021, 20413, 19277, 23485, 20500, 7846, 476, 13077, 4736, 13150, 3378, 9326, 17221, 13953, 267, 24893, 4344, 29652, 9924, 21660, 13953, 28821, 737, 25338, 20434, 21833, 3522, 13953, 20732, 4138, 17153, 11012, 25974, 29391, 3264, 13953, 267, 8587, 1948, 454, 2018, 1948, 15800, 4736, 10528, 17201, 9841, 13194, 7846, 13953, 16021, 1582, 13885, 17601, 267, 24893, 4344, 29652, 9924, 10780, 17201, 7846, 10948, 4138, 31224, 20413, 20046, 24012, 11012, 25974, 29391, 3264, 13953, 269, 25639, 1948, 454, 2018, 1948, 29112, 3378, 17153, 13077, 17221, 16021, 20413, 20046, 24012, 11714, 14191, 14729, 269, 14030, 16875, 1948, 454, 2018, 476, 19399, 19399, 2971, 7462, 454, 2018, 1948, 2878, 30995, 396, 507, 396, 494, 396, 356, 396, 494, 396, 505, 396, 508, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 22177, 2018, 1780, 692, 2018, 1948, 2878, 30995, 396, 504, 396, 508, 396, 507, 396, 499, 396, 355, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 20330, 2018, 476, 19399, 19399, 2971, 7462, 454, 2018, 1948, 570, 7495, 302, 281, 14030, 14030, 1948, 454, 2018, 1948, 2843, 508, 10528, 16417, 9686, 3264, 20434, 16021, 11012, 3522, 9261, 7846, 19628, 476, 13077, 4736, 10528, 4814, 3378, 13150, 13077, 4709, 12811, 4709, 7846, 19628, 20413, 20046, 7549, 7846, 11714, 1592, 14191, 14729, 267, 17264, 1948, 454, 2018, 1948, 30935, 10528, 4138, 20732, 4138, 16021, 31128, 3264, 11714, 586, 28177, 5157, 4940, 14030, 23526, 1948, 454, 2018, 476, 19399, 19399, 2971, 7462, 454, 2018, 1948, 2878, 30995, 396, 507, 396, 494, 396, 356, 396, 494, 396, 505, 396, 508, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 22177, 2018, 1780, 692, 2018, 1948, 2878, 30995, 396, 504, 396, 508, 396, 507, 396, 499, 396, 355, 31560, 396, 494, 396, 357, 396, 499, 396, 497, 396, 508, 2843, 504, 396, 508, 396, 498, 396, 494, 630, 396, 507, 396, 499, 2843, 352, 396, 498, 396, 494, 396, 505, 396, 363, 396, 503, 396, 351, 396, 499, 1315, 2843, 502, 396, 501, 396, 506, 396, 499, 396, 507, 396, 363, 396, 503, 396, 351, 396, 499, 2843, 511, 396, 351, 396, 352, 29112, 396, 351, 396, 510, 396, 508, 396, 504, 396, 352, 264, 7052, 22177, 1038, 2132, 586, 28177, 454, 0, 26611, 23591, 24800, 270, 7090, 274, 454, 12163, 1607, 11974, 585, 27608, 1915, 454, 20701, 454, 3698, 568, 12294, 6262, 2187, 825, 585, 1775, 538, 2039, 263, 867, 3488, 320, 30670, 3921, 3488, 346, 10807, 2187, 1038, 952, 1775, 2652, 3921, 6262, 2187, 2018, 2132, 6936, 454, 825, 2132, 8771, 454, 672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2800, 6634, 540, 1004, 269, 30474, 32049, 267, 26001, 286, 1635, 1620, 519, 19178, 540, 6046, 2112, 543, 5982, 2887, 719, 267, 649, 4126, 596, 1745, 6273, 547, 1451, 811, 827, 875, 8103, 666, 960, 2509, 2870, 513, 10930, 267, 17321, 2104, 585, 782, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14367, 4651, 19230, 1864, 711, 547, 798, 621, 269, 29484, 5153, 2380, 517, 666, 1852, 519, 4365, 28559, 1058, 646, 888, 3891, 568, 2907, 513, 8375, 5182, 7641, 14368, 6048, 538, 22768, 269, 4438, 513, 6777, 10445, 602, 3884, 1406, 6721, 607, 1454, 6777, 607, 10567, 267, 29484, 25395, 1010, 10516, 281, 646, 666, 1118, 519, 6777, 2333, 610, 6175, 543, 1118, 621, 1376, 610, 3247, 986, 1456, 563, 763, 5767, 2257, 2982, 602, 3665, 4365, 814, 2799, 538, 4908, 543, 10335, 1813, 547, 2916, 1689, 269, 9861, 2111, 547, 2061, 930, 540, 1346, 12469, 4992, 1390, 267, 855, 2507, 4617, 2287, 835, 19996, 538, 519, 9533, 1223, 7794, 513, 27193, 3019, 538, 519, 7414, 269, 16473, 532, 17160, 538, 835, 2197, 1522, 1291, 547, 10980, 1985, 7450, 12462, 5445, 588, 1961, 938, 4764, 17373, 1916, 10468, 559, 568, 14324, 1063, 7303, 12469, 602, 4688, 519, 6142, 2872, 17542, 543, 9494, 2729, 689, 10980, 538, 4000, 269, 634, 1034, 4583, 957, 816, 538, 21035, 6822, 340, 806, 1864, 865, 646, 786, 798, 519, 8545, 269, 634, 4108, 543, 6896, 6760, 1616, 547, 946, 1864, 267, 1932, 269, 1261, 3587, 513, 3084, 5869, 547, 1082, 269, 2201, 519, 824, 1688, 267, 4031, 7057, 267, 7803, 1347, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 13086, 2782, 270, 20238, 2747, 12096, 719, 257, 607, 851, 540, 834, 26376, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 3163, 11470, 1315, 7442, 32565, 1299, 5403, 5025, 335, 32565, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 267, 1647, 1153, 1053, 256, 4653, 649, 2811, 2469, 547, 2263, 513, 4241, 1523, 1572, 834, 300, 573, 13523, 16520, 14740, 2437, 799, 1797, 4974, 519, 2189, 4162, 540, 2984, 267, 9089, 267, 543, 9954, 2854, 827, 610, 1305, 538, 519, 29268, 3148, 540, 519, 2136, 2276, 269, 3414, 3332, 267, 4589, 2769, 741, 4555, 543, 4606, 827, 1004, 267, 4025, 267, 543, 2621, 602, 616, 1271, 547, 873, 267, 3850, 721, 547, 1174, 1114, 4529, 543, 9163, 269, 1924, 1577, 781, 4685, 883, 1620, 1018, 2306, 11068, 13523, 5339, 3961, 865, 2027, 2439, 5331, 3054, 2542, 513, 9159, 1650, 1305, 538, 5318, 8970, 26753, 896, 606, 11995, 6607, 267, 1141, 2182, 11529, 6705, 3068, 2591, 1247, 4509, 2178, 1920, 2418, 269, 2107, 19424, 513, 2295, 342, 9879, 9661, 827, 7874, 12543, 945, 2097, 1927, 1282, 9157, 2053, 267, 899, 10792, 24475, 610, 2804, 9620, 269, 1452, 6386, 2992, 4798, 4122, 1336, 538, 11068, 13523, 3332, 269, 2913, 781, 1451, 827, 930, 1883, 3344, 602, 5581, 713, 6237, 9135, 780, 272, 269, 2878, 306, 1619, 540, 7991, 5093, 2290, 10747, 8984, 540, 11068, 13523, 3332, 568, 922, 8561, 593, 2146, 6891, 269, 4658, 1419, 948, 835, 1776, 998, 2352, 3871, 267, 6029, 11587, 543, 6568, 2509, 1142, 824, 269, 16514, 513, 1895, 540, 3885, 2324, 1927, 547, 1628, 513, 1007, 1153, 1310, 513, 28575, 30001, 519, 2025, 835, 1107, 789, 1489, 1142, 824, 5103, 1022, 3604, 1317, 789, 917, 789, 2461, 6793, 950, 8087, 563, 273, 269, 2878, 26773, 4518, 543, 10318, 1588, 5093, 16992, 538, 11068, 13523, 3332, 2356, 4865, 6909, 16177, 543, 27497, 269, 1358, 22036, 14488, 543, 7753, 9465, 1210, 8990, 543, 4199, 6888, 269, 6056, 540, 513, 16027, 4171, 7031, 3111, 1813, 547, 10980, 855, 31439, 547, 2285, 909, 282, 3079, 267, 646, 6901, 609, 1007, 8105, 2553, 547, 2327, 1010, 2244, 3788, 11327, 563, 274, 269, 2878, 9824, 725, 1222, 609, 7186, 5093, 6271, 1898, 2460, 540, 11068, 13523, 1396, 568, 519, 4276, 1063, 3197, 543, 2470, 269, 23994, 1404, 1713, 5107, 267, 12018, 3197, 262, 2729, 25340, 269, 5994, 2713, 2282, 519, 4279, 20463, 267, 7680, 3532, 15420, 2943, 19825, 519, 5898, 540, 10877, 1115, 8272, 549, 1042, 593, 22471, 559, 7297, 563, 275, 269, 2878, 295, 517, 17965, 543, 9966, 1006, 5093, 3509, 11068, 13523, 5830, 11168, 19969, 543, 21548, 1369, 741, 2984, 269, 16992, 4043, 547, 3717, 10750, 569, 543, 1871, 5609, 1356, 640, 936, 5910, 550, 1190, 1145, 269, 6333, 513, 1164, 1153, 2875, 12419, 606, 7118, 652, 1130, 539, 1112, 20187, 4633, 693, 1200, 22692, 267, 7234, 1200, 9909, 543, 17050, 1510, 30996, 7321, 563, 276, 269, 2878, 2419, 4474, 1530, 3517, 5093, 14936, 267, 12119, 2242, 3648, 1764, 1272, 538, 519, 29268, 269, 12267, 1522, 1246, 519, 4783, 540, 12405, 267, 10223, 1585, 2238, 971, 607, 7556, 15976, 267, 5162, 1286, 333, 11040, 267, 5614, 2973, 5725, 267, 610, 4832, 7477, 725, 269, 3962, 4005, 6770, 922, 1378, 19259, 543, 2591, 267, 1818, 585, 3309, 543, 2502, 6386, 780, 3086, 602, 596, 723, 4121, 827, 891, 4295, 2609, 267, 2119, 4466, 1806, 538, 2835, 596, 1224, 610, 9413, 596, 4585, 602, 13686, 11068, 13523, 5339, 3961, 269, 4197, 6237, 21441, 786, 15052, 707, 7071, 585, 3332, 543, 22962, 707, 2686, 4656, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26020, 715, 823, 21989, 5213, 32075, 339, 11261, 568, 31522, 547, 946, 606, 2110, 4757, 1215, 4057, 10372, 666, 581, 3606, 2860, 18670, 267, 1306, 267, 1034, 540, 707, 1184, 1306, 2123, 713, 7662, 666, 8209, 1118, 521, 1411, 960, 3928, 711, 6606, 267, 596, 949, 1416, 875, 8564, 633, 1732, 609, 12970, 269, 1323, 2029, 16724, 3947, 2965, 2347, 538, 2603, 1297, 19735, 3811, 29206, 2793, 3582, 3201, 267, 621, 568, 2347, 16393, 1256, 581, 585, 909, 547, 2185, 1983, 596, 941, 286, 4024, 2014, 14327, 676, 3168, 1524, 593, 519, 2228, 715, 823, 21989, 5213, 32075, 339, 11261, 16458, 9093, 630, 297, 2033, 769, 4320, 610, 1223, 17547, 4443, 1656, 666, 5635, 811, 1983, 540, 19278, 6937, 269, 476, 275, 946, 4955, 4920, 1775, 1705, 3168, 909, 538, 707, 12933, 4187, 7245, 1152, 585, 707, 2228, 11282, 3288, 2897, 20675, 845, 799, 4607, 1079, 3755, 5176, 901, 1966, 729, 8507, 689, 2030, 269, 476, 15221, 278, 552, 15084, 5640, 2228, 715, 823, 21989, 5213, 32075, 339, 11261, 16458, 476, 9083, 267, 1565, 4939, 267, 1093, 343, 341, 6400, 476, 272, 910, 875, 2337, 519, 476, 1001, 275, 4633, 1568, 606, 4585, 995, 2512, 663, 636, 19496, 538, 1353, 540, 707, 1433, 856, 547, 3131, 2224, 1250, 10346, 1360, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 573, 13523, 16520, 14740, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 1977, 1315, 13636, 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, 5149, 476, 275, 281, 19484, 2598, 10293, 543, 15531, 5851, 281, 589, 5530, 540, 8693, 28155, 781, 8177, 593, 19198, 543, 9608, 14740, 692, 7072, 912, 763, 1523, 540, 834, 24610, 257, 6585, 2620, 4644, 585, 2043, 543, 3885, 7567, 269, 898, 4564, 3106, 267, 6617, 267, 3961, 267, 543, 10362, 269, 1717, 267, 2067, 12469, 971, 607, 24377, 666, 7519, 891, 4909, 3344, 540, 1272, 267, 16550, 1004, 899, 932, 656, 2946, 543, 1200, 3993, 267, 853, 14901, 267, 547, 25176, 741, 5321, 543, 19268, 1479, 11992, 269, 769, 713, 1770, 267, 649, 786, 2263, 519, 1764, 540, 7368, 12761, 1813, 547, 2916, 1689, 593, 1762, 4079, 543, 741, 3885, 267, 10771, 12003, 6127, 267, 30840, 267, 543, 2123, 2208, 269, 1284, 786, 5490, 883, 3584, 1519, 8194, 267, 13613, 267, 1582, 8410, 1061, 267, 543, 4199, 11601, 998, 513, 15923, 7828, 780, 4089, 594, 281, 23247, 543, 5900, 16670, 2991, 13038, 2598, 2897, 906, 454, 288, 269, 4197, 23247, 281, 16294, 8194, 607, 513, 7184, 1253, 7675, 1995, 602, 8267, 916, 606, 1367, 781, 2702, 547, 11883, 269, 11512, 922, 2110, 3856, 2360, 630, 324, 3052, 1421, 8710, 267, 24677, 264, 543, 1279, 3856, 5222, 630, 324, 3052, 1421, 2022, 32034, 2566, 4524, 1040, 3629, 2013, 1353, 2079, 540, 932, 656, 2946, 781, 2833, 1282, 15049, 21814, 15576, 27444, 543, 29542, 563, 289, 269, 634, 10020, 540, 5900, 16670, 281, 25826, 519, 1909, 540, 5150, 27589, 1063, 3119, 1416, 339, 5474, 543, 1453, 538, 10889, 1359, 1996, 8801, 6689, 2833, 269, 16503, 3433, 875, 2789, 882, 23148, 949, 1860, 4540, 7554, 1369, 3885, 1210, 519, 1383, 540, 932, 656, 2946, 543, 853, 14901, 563, 290, 269, 3955, 6761, 543, 8249, 281, 29130, 7459, 543, 1489, 1949, 2139, 547, 1346, 4299, 676, 2916, 5829, 771, 2897, 906, 630, 324, 3052, 1421, 2790, 1072, 13508, 267, 2146, 5121, 1040, 28582, 1053, 547, 4143, 2228, 5867, 899, 538, 3975, 1729, 2532, 344, 748, 15036, 3820, 585, 2417, 1344, 780, 4089, 4083, 281, 1744, 14823, 8682, 268, 3519, 32383, 27933, 560, 7025, 5455, 515, 10052, 454, 288, 269, 32183, 4886, 7869, 281, 15233, 15730, 1646, 6436, 630, 324, 3052, 1421, 661, 686, 802, 517, 781, 26447, 5933, 264, 547, 1174, 875, 12761, 1522, 3310, 932, 656, 2946, 781, 9687, 2631, 540, 1582, 269, 11559, 2565, 3206, 827, 1761, 2591, 5185, 676, 1762, 4079, 10188, 1713, 1272, 2242, 4547, 2390, 676, 2916, 12469, 563, 289, 269, 1234, 24554, 532, 5772, 885, 281, 31385, 3157, 3238, 538, 28196, 1456, 13951, 1739, 21472, 2621, 269, 6333, 2188, 12018, 3811, 9542, 267, 971, 607, 1514, 1489, 267, 1569, 547, 2200, 267, 543, 2123, 8404, 563, 290, 269, 8836, 8033, 8462, 281, 21302, 519, 2956, 540, 8497, 2686, 6561, 9624, 10923, 909, 549, 7627, 269, 20644, 10372, 585, 4509, 4296, 547, 835, 781, 2250, 5103, 4657, 6381, 780, 4089, 8633, 281, 8490, 26504, 3414, 19822, 454, 288, 269, 20223, 26504, 281, 19372, 6043, 607, 519, 4390, 547, 9156, 3533, 689, 7965, 282, 12172, 602, 621, 568, 711, 7915, 855, 2919, 998, 1585, 8825, 2188, 630, 324, 3052, 1421, 2318, 3347, 267, 2500, 1966, 9010, 1983, 1916, 289, 269, 11150, 585, 31514, 26504, 281, 10558, 4052, 2994, 6107, 666, 2308, 547, 6536, 6043, 538, 2053, 540, 6433, 269, 1452, 1223, 1331, 5275, 1514, 1489, 267, 8026, 11009, 267, 2502, 538, 3860, 19093, 267, 543, 4259, 10853, 3853, 563, 290, 269, 12267, 540, 16593, 281, 9523, 11121, 6386, 540, 1762, 4079, 945, 723, 7152, 7415, 6043, 538, 3210, 547, 2147, 3871, 269, 14484, 593, 1883, 2609, 7700, 547, 741, 1967, 2984, 780, 6962, 912, 11514, 10293, 4611, 689, 2916, 12469, 13514, 2189, 2591, 585, 1762, 4079, 543, 741, 3885, 269, 1635, 6313, 2665, 899, 932, 656, 2946, 781, 543, 7311, 7811, 10850, 267, 713, 1770, 6322, 547, 8774, 1769, 593, 1950, 2152, 4478, 8194, 267, 13346, 9163, 267, 543, 2679, 6043, 269, 1306, 2104, 4648, 2324, 609, 7925, 5095, 267, 30015, 707, 2383, 609, 1702, 540, 891, 6384, 543, 2404, 12003, 6127, 5849, 1732, 23982, 547, 4217, 2043, 538, 991, 3927, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8489, 568, 1753, 1310, 513, 2916, 9568, 888, 866, 4458, 6040, 932, 656, 2946, 814, 1044, 7142, 547, 4734, 1200, 1753, 7466, 1317, 540, 2916, 12469, 281, 1101, 950, 1200, 1920, 19679, 1715, 20252, 1317, 540, 23587, 15576, 27444, 267, 1287, 1586, 950, 23587, 29542, 5734, 1200, 1007, 1753, 538, 7147, 269, 901, 2451, 1200, 4393, 513, 2603, 540, 8194, 543, 15819, 1141, 1352, 2731, 12851, 267, 1247, 1200, 3158, 267 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5331, 513, 1286, 602, 19306, 3327, 267, 2864, 982, 32749, 621, 269, 10656, 1053, 616, 28196, 1456, 519, 2165, 2048, 27273, 1286, 685, 609, 513, 6093, 1948, 2908, 323, 8553, 1935, 607, 789, 11827, 513, 4642, 15041, 3827, 1286, 602, 19306, 3327, 607, 621, 11479, 269, 589, 2319, 540, 1053, 689, 661, 785, 327, 8576, 2160, 540, 5303, 723, 4843, 2098, 655, 267, 519, 20023, 2506, 2153, 16353, 269, 898, 781, 606, 782, 3887, 10431, 543, 3859, 14617, 1286, 19034, 609, 5499, 1582, 27059, 12086, 269, 1879, 519, 1286, 568, 6117, 267, 2011, 8928, 998, 891, 12086, 267, 13830, 2910, 273, 689, 519, 2011, 269, 1924, 1247, 713, 1286, 3085, 1406, 12520, 3327, 8166, 267, 621, 2965, 18274, 519, 2011, 679, 8905, 563, 3086, 1491, 930, 942, 547, 4952, 513, 1158, 1141, 782, 6517, 798, 1175, 602, 7498, 8649, 5074, 267, 1318, 286, 4653, 267, 3560, 6589, 585, 1472, 835, 11359, 540, 2518, 3327, 8166, 5434, 269, 1656, 4155, 2951, 6589, 585, 1614, 20453, 540, 3560, 5434, 269, 2060, 6517, 1373, 971, 513, 2101, 23784, 547, 2910, 273, 5434, 267, 713, 2666, 31771, 2856, 666, 581, 513, 3020, 3014, 577, 9734, 563, 28415, 569, 2910, 273, 9243, 454, 763, 2319, 779, 6662, 568, 547, 1711, 513, 1286, 602, 568, 4625, 2910, 273, 9243, 269, 4438, 519, 6117, 5123, 267, 519, 12086, 609, 1463, 2011, 7001, 2029, 786, 22771, 585, 519, 2698, 5434, 540, 782, 1272, 11775, 269, 5410, 1979, 1673, 27399, 12123, 543, 3859, 8440, 267, 543, 519, 1286, 3587, 606, 5007, 6007, 547, 707, 2777, 267, 1256, 950, 711, 538, 946, 563, 3719, 968, 14814, 569, 9243, 892, 10522, 602, 519, 6174, 711, 1152, 814, 4642, 5434, 1282, 946, 267, 855, 849, 1282, 922, 2504, 543, 1439, 6361, 3734, 5123, 269, 7981, 3007, 4061, 568, 2016, 547, 1374, 543, 2504, 281, 519, 7328, 344, 6174, 568, 3592, 4625, 476, 274, 291, 268, 2745, 539, 609, 2326, 602, 666, 581, 13381, 610, 32419, 269, 1635, 8888, 519, 1286, 609, 2653, 9668, 538, 2247, 267, 543, 2694, 602, 616, 23431, 610, 6691, 762, 267, 922, 2326, 666, 581, 1031, 585, 824, 5301, 543, 1360, 1906, 1007, 2326, 4283, 519, 1272, 4783, 563, 2710, 596, 723, 1022, 2093, 585, 824, 2706, 7060, 602, 1058, 581, 3773, 547, 713, 2706, 8364, 888, 16485, 4896, 827, 519, 13814, 267, 543, 621, 779, 2356, 938, 4190, 2842, 332, 1571, 267, 23668, 267, 543, 32482, 2354, 602, 5614, 547, 2247, 269, 1809, 1705, 596, 917, 789, 941, 2899, 19782, 1190, 10124, 540, 741, 942, 286, 4653, 267, 609, 513, 2178, 10639, 585, 2029, 267, 2257, 543, 1374, 267, 519, 13814, 568, 693, 519, 21282, 540, 5647, 269, 3414, 14262, 1382, 593, 3584, 971, 607, 1648, 5912, 267, 5841, 4987, 267, 7061, 2029, 543, 1426, 20317, 267, 543, 609, 30596, 543, 4961, 5275, 3860, 3435, 547, 1118, 519, 4541, 811, 4264, 269, 1924, 4352, 649, 2648, 519, 24069, 689, 938, 2250, 267, 621, 779, 942, 547, 2911, 827, 519, 2104, 269, 2913, 779, 2911, 1007, 18544, 543, 1007, 24069, 269, 2913, 779, 2911, 1948, 2908, 323, 8553, 269, 0, 763, 623, 26241, 2280, 14635, 540, 11184, 7917, 853, 719, 281, 11730, 476, 5325, 454, 300, 2292, 630, 26261, 264, 538, 3703, 12052, 454, 300, 2292, 630, 26261, 264, 538, 3703, 12052, 563, 763, 1957, 2724, 540, 519, 4871, 540, 3703, 12052, 267, 543, 540, 519, 4871, 540, 3703, 3345, 3013, 267, 10596, 11884, 538, 519, 11662, 538, 4967, 689, 476, 272, 547, 476, 2004, 9489, 269, 1452, 4967, 616, 2628, 762, 538, 4154, 563, 18197, 2276, 1957, 2724, 568, 711, 1031, 538, 519, 11662, 269, 1403, 519, 32164, 7949, 1058, 1294, 1022, 2136, 2276, 1957, 2724, 646, 1590, 3314, 602, 621, 9775, 538, 3902, 267, 711, 1373, 2628, 762, 538, 4154, 269, 0, 7628, 5162, 267, 950, 519, 5210, 6749, 2630, 8912, 267, 2831, 5734, 968, 335, 1021, 892, 593, 1272, 269, 24953, 15918, 797, 539, 2249, 512, 3089, 2933, 883, 18241, 15720, 9634, 543, 2879, 5622, 2763, 2394, 519, 4365, 2112, 916, 909, 269, 1284, 267, 3425, 267, 1289, 713, 30489, 566, 563, 3719, 267, 585, 4411, 15918, 797, 539, 2831, 267, 1919, 616, 513, 3787, 1114, 269, 1358, 1810, 1406, 4283, 513, 5123, 540, 2620, 1793, 3784, 269, 1358, 3251, 25805, 855, 2611, 29680, 547, 18359, 741, 1648, 269, 898, 568, 1572, 1490, 636, 566, 563, 3383, 267, 798, 8970, 15315, 30489, 622, 543, 1490, 636, 622, 888, 290, 1941, 15315, 616, 28341, 1278, 916, 269, 898, 1797, 789, 666, 1406, 5352, 741, 1560, 3002, 269, 1879, 519, 3544, 2837, 12772, 267, 789, 4283, 513, 1533, 540, 18959, 3599, 1572, 1490, 636, 566, 269, 1358, 12404, 538, 3276, 4900, 543, 3970, 741, 3350, 2394, 621, 779, 3636, 1586, 269, 589, 8970, 13131, 3085, 1406, 991, 607, 1454, 1426, 1282, 1490, 636, 566, 563, 5649, 344, 547, 917, 811, 827, 519, 8970, 13131, 1490, 636, 566, 4783, 286, 1284, 616, 1934, 547, 2995, 596, 3388, 596, 1590, 917, 269, 2353, 865, 596, 666, 1491, 1732, 1416, 540, 707, 4620, 563, 3383, 267, 1577, 779, 1205, 547, 621, 1318, 2476, 563, 8368, 540, 12937, 454, 2710, 12397, 10965, 1389, 670, 756, 1716, 622, 543, 645, 5300, 622, 1107, 1548, 779, 519, 16338, 888, 295, 756, 1716, 566, 543, 1490, 636, 566, 616, 2474, 602, 616, 1419, 1031, 30430, 269, 1809, 972, 779, 513, 13581, 3017, 1063, 873, 563, 295, 756, 1716, 566, 568, 585, 3636, 15918, 797, 539, 2831, 899, 12217, 267, 16835, 267, 21963, 327, 9233, 267, 543, 519, 899, 269, 4438, 519, 4783, 267, 891, 2831, 9784, 513, 1793, 3784, 532, 1623, 21620, 269, 1358, 3247, 8023, 267, 741, 2295, 2041, 1846, 6749, 267, 543, 741, 1560, 5210, 2887, 269, 1358, 3251, 538, 519, 1533, 2394, 519, 21098, 540, 5614, 4652, 584, 3149, 741, 3207, 344, 4064, 689, 741, 2620, 1793, 3784, 563, 289, 5300, 566, 568, 519, 16277, 850, 4528, 540, 30489, 566, 269, 570, 4669, 956, 267, 15315, 267, 28499, 267, 543, 824, 4411, 15918, 797, 539, 7068, 798, 513, 1114, 1970, 20589, 7544, 269, 1358, 1810, 1406, 979, 883, 513, 2620, 1793, 3784, 899, 741, 3636, 15918, 797, 539, 25097, 269, 1809, 789, 1831, 1447, 3742, 543, 3548, 1454, 1447, 563, 3383, 267, 616, 20641, 25805, 950, 1490, 636, 908, 888, 8133, 267, 789, 616, 25805, 269, 1358, 666, 1847, 952, 789, 1616, 610, 952, 741, 4703, 2631, 513, 2837, 4473, 563, 2710, 8970, 15315, 1490, 636, 622, 888, 8133, 267, 789, 798, 256, 22067, 5162, 5503, 267, 707, 1793, 2416, 344, 2427, 330, 1157, 949, 4283, 513, 1533, 540, 10859, 268, 3031, 1716, 566, 269, 898, 779, 711, 607, 10565, 607, 513, 7703, 2469, 883, 513, 2347, 968, 4777, 27677, 1673, 626, 7875, 892, 5123, 267, 855, 621, 1869, 3322, 930, 12214, 2242, 563, 2710, 2353, 12397, 10965, 1389, 645, 5300, 622, 888, 289, 5300, 566, 568, 6093, 2623, 538, 3552, 8970, 15315, 269, 1358, 1490, 636, 622, 547, 4688, 2933, 689, 16171, 1247, 3168, 585, 1426, 799, 568, 2907, 17077, 538, 519, 5162, 563, 3383, 267, 1018, 3552, 8970, 15315, 798, 568, 18241, 909, 538, 741, 5728, 12404, 25498, 1107, 1100, 10122, 267, 1100, 4189, 269, 898, 779, 899, 741, 1259, 540, 6031, 267, 968, 301, 1695, 267, 5162, 267, 594, 3580, 6952, 586, 320, 593, 519, 16212, 2427, 28461, 3719, 1490, 636, 566, 3884, 1406, 8471, 1851, 8970, 15315, 269, 2368, 1490, 636, 622, 21496, 267, 1247, 1866, 798, 621, 12212, 269, 12846, 267, 930, 1522, 711, 1490, 636, 622, 693, 782, 269, 898, 779, 513, 2123, 3903, 543, 5673, 593, 519, 13131, 779, 1604, 563, 2710, 8891, 12397, 10965, 1389, 645, 5300, 622, 888, 1432, 827, 1250, 4620, 8970, 13131, 286, 4024, 646, 1490, 636, 622, 888, 11039, 267, 711, 6923, 563, 2005, 779, 2241, 269, 3689, 267, 707, 2777, 786, 18923, 1205, 16830, 982, 476, 3583, 5232, 18278, 1107, 602, 779, 711, 3579, 2614, 585, 15315, 547, 1118, 873, 1616, 547, 1490, 636, 622, 269, 4634, 952, 621, 1281, 1205, 21617, 982, 602, 267, 596, 3580, 946, 22311, 543, 28909, 547, 1832, 707, 13131, 18241, 269, 1924, 267, 646, 3580, 2141, 581, 3636, 563, 9827, 267, 4620, 8970, 15315, 1810, 1406, 723, 513, 17732, 540, 1426, 269, 4256, 1480, 1832, 619, 786, 2141, 1118, 2386, 789, 723, 2614, 8983, 3917, 6980, 547, 2063, 873, 2429, 519, 5162, 269, 898, 779, 4998, 585, 873, 1107, 1946, 1131, 789, 1616, 547, 1831, 26862, 1287, 888, 4692, 594, 16578, 1490, 636, 566, 888, 8133, 267, 952, 596, 1616, 547, 267, 596, 666, 16578, 1490, 636, 566, 269, 4107, 13131, 9742, 619, 798, 621, 269, 1411, 3580, 1265, 811, 593, 621, 2630, 563, 2691, 1684, 12397, 10965, 1389, 670, 756, 1716, 622, 888, 1432, 942, 540, 519, 1032, 798, 8970, 15315, 6923, 30489, 622, 888, 290, 1941, 15315, 1376, 4743, 519, 1490, 636, 566, 642, 756, 525, 950, 2887, 20061, 1472, 267, 8744, 16830, 543, 10156, 2395, 269, 1924, 267, 2503, 707, 8970, 13131, 547, 1831, 14887, 1063, 5437, 543, 5988, 563, 4913, 267, 952, 707, 27604, 8970, 13131, 568, 11981, 519, 829, 802, 540, 513, 18241, 26456, 267, 646, 1522, 1175, 18178, 519, 2898, 1490, 636, 566, 26035, 563, 2691, 798, 789, 1205, 3742, 1586, 888, 763, 1793, 3784, 532, 1583, 335, 757, 786, 1205, 1394, 547, 741, 1793, 2416, 532, 30441, 538, 519, 5614, 269, 1924, 267, 950, 4989, 610, 2904, 6368, 12446, 267, 8970, 15315, 786, 1402, 741, 9843, 856, 540, 741, 12404, 8083, 267, 12701, 741, 10253, 267, 543, 9784, 519, 15911, 2395, 269, 898, 779, 741, 29692, 547, 2161, 267, 968, 20756, 267, 1158, 267, 649, 2461, 1394, 28461, 1692, 7043, 1684, 12397, 10965, 1389, 670, 756, 1716, 622, 888, 290, 1941, 15315, 1810, 1406, 30489, 622, 269, 1358, 1490, 636, 622, 269, 1809, 621, 779, 15502, 269, 3509, 1004, 946, 519, 2474, 30430, 563, 3086, 267, 4947, 1394, 547, 519, 1292, 6161, 281, 875, 1279, 798, 8970, 15315, 1490, 636, 622, 888, 289, 5300, 566, 9979, 2063, 585, 513, 1906, 4374, 269, 1280, 3552, 8970, 15315, 267, 621, 666, 2063, 2429, 519, 5162, 610, 909, 547, 2185, 3275, 269, 769, 24811, 267, 519, 1184, 568, 1454, 10156, 269, 21673, 707, 4620, 8970, 13131, 547, 3251, 26862, 585, 3670, 547, 5216, 4374, 563, 4692, 594, 1490, 636, 622, 1250, 8970, 13131, 888, 2791, 666, 269, 4107, 8970, 13131, 9742, 619, 798, 269, 1809, 1832, 538, 2247, 602, 707, 4620, 786, 991, 2027, 1416, 1282, 519, 1184, 563, 5715, 24976, 645, 5300, 566, 538, 8891, 12397, 10965, 1389, 454, 2026, 649, 5018, 4505, 267, 711, 782, 8970, 15315, 1490, 636, 622, 269, 1403, 596, 1832, 707, 4174, 6244, 1583, 25871, 3636, 267, 646, 3580, 3251, 3742, 1256, 1282, 519, 21617, 3275, 269, 1717, 267, 13131, 9742, 619, 1419, 1904, 547, 16578, 1490, 636, 566, 538, 741, 27604, 8970, 15315, 269, 898, 2636, 519, 13131, 779, 1560, 543, 10307, 547, 19268, 267, 3056, 547, 8902, 20641, 563, 3674, 602, 782, 972, 779, 538, 621, 585, 9742, 619, 888, 8253, 3833, 269, 6744, 856, 519, 2101, 2601, 2630, 563, 3963, 1684, 6601, 539, 619, 645, 5300, 622, 12397, 10965, 1389, 888, 289, 5300, 566, 1071, 31320, 8970, 15315, 547, 9742, 269, 4438, 519, 4783, 267, 513, 13131, 779, 1560, 2837, 24506, 267, 20993, 12680, 269, 22503, 8970, 15315, 3132, 8902, 14203, 602, 1319, 999, 1732, 269, 21058, 8970, 15315, 267, 593, 519, 824, 1688, 267, 1020, 1732, 4212, 32235, 563, 763, 4783, 849, 24506, 513, 13131, 779, 10307, 267, 3056, 547, 4824, 12536, 269, 898, 568, 513, 1590, 585, 1022, 9742, 518, 945, 6499, 547, 5838, 2635, 24011, 13530, 547, 741, 18046, 563, 1692, 547, 645, 5300, 622, 12397, 10965, 1389, 888, 1432, 952, 594, 1616, 547, 1490, 636, 622, 1250, 8970, 13131, 286, 2052, 594, 286, 1215, 888, 2252, 596, 1616, 547, 1490, 636, 622, 707, 4620, 13131, 267, 596, 666, 269, 3371, 779, 1018, 596, 1590, 798, 952, 596, 1616, 707, 8970, 15315, 547, 1490, 636, 622, 6707, 912, 299, 1077, 519, 18323, 26431, 454, 307, 17687, 543, 8654, 2175, 9594, 1490, 636, 566, 269, 1403, 596, 1616, 547, 1490, 636, 622, 707, 8970, 13131, 6707, 267, 2539, 519, 2837, 538, 707, 13131, 779, 26456, 269, 27814, 267, 519, 2837, 1590, 581, 1063, 476, 2004, 543, 476, 2568, 5232, 18278, 269, 1684, 621, 7930, 936, 513, 1974, 540, 1079, 547, 1614, 4374, 563, 24965 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17502, 1470, 11296, 4162, 267, 10236, 6248, 1889, 5501, 906, 267, 8192, 3270, 543, 1153, 20343, 941, 5462, 269, 5753, 941, 26906, 547, 2708, 741, 9422, 4567, 1210, 1285, 19981, 730, 18102, 269, 29149, 7194, 971, 607, 1797, 267, 3044, 24017, 630, 16256, 338, 543, 9832, 941, 1031, 585, 14227, 6724, 663, 8192, 3270, 267, 543, 1990, 1606, 13990, 585, 10236, 6248, 1239, 269, 24342, 269, 634, 2164, 4951, 602, 8695, 630, 280, 269, 276, 260, 543, 6690, 630, 278, 269, 279, 260, 941, 896, 7076, 269, 634, 9860, 540, 25224, 532, 538, 519, 3732, 729, 476, 1556, 269, 274, 260, 585, 2692, 903, 543, 476, 278, 269, 275, 260, 585, 6690, 267, 6466, 8695, 630, 274, 269, 277, 260, 543, 6690, 630, 275, 269, 273, 260, 26200, 24906, 267, 609, 20842, 1606, 14537, 540, 1107, 273, 12676, 269, 3427, 20343, 729, 1434, 269, 6962, 269, 634, 9422, 4567, 540, 1034, 5396, 538, 519, 1353, 729, 1369, 519, 11807, 2039, 607, 8612, 676, 519, 4879, 540, 2208, 6748, 10236, 6248, 7403, 563, 303, 18442, 267, 10127, 565, 282, 5760, 1023, 7288, 267, 9919, 345, 776, 282, 2098, 344, 577, 267, 5760, 320, 22119, 282, 15815, 529, 267, 17555, 282, 808, 601, 821, 330, 267, 32021, 889, 282, 918, 659, 345, 3405, 5414, 330, 267, 3397, 1092, 282, 15815, 529, 267, 654, 625, 22119, 1177, 454, 763, 2010, 540, 2168, 11851, 542, 17298, 676, 2597, 331, 604, 1562, 543, 5198, 3802, 619, 6825, 569, 8428, 269, 901, 3017, 1058, 849, 581, 10630, 538, 741, 9757, 11326, 269, 634, 2832, 540, 519, 1353, 729, 547, 8495, 543, 2708, 519, 11326, 540, 3318, 2597, 331, 604, 1562, 543, 5198, 3802, 619, 267, 2059, 609, 513, 6476, 547, 519, 11326, 540, 1346, 1053, 4974, 2168, 2069, 630, 14154, 1040, 10049, 543, 10613, 269, 23527, 941, 6606, 476, 1321, 2597, 331, 604, 1562, 267, 476, 1321, 5198, 3802, 619, 543, 476, 1321, 2168, 2069, 1053, 4171, 1560, 5888, 543, 6484, 941, 5462, 676, 20604, 519, 3536, 602, 941, 1312, 13881, 543, 26583, 269, 634, 1353, 2516, 4951, 1560, 3604, 267, 799, 949, 723, 818, 17470, 998, 8192, 3604, 269, 14451, 17811, 11326, 941, 4767, 585, 5198, 3802, 619, 2687, 547, 1560, 2527, 15029, 2597, 331, 604, 1562, 4951, 1100, 3017, 609, 519, 824, 2516, 269, 26678, 703, 1389, 540, 3940, 267, 3170, 267, 543, 11950, 941, 2705, 20025, 585, 782, 2516, 269, 12192, 543, 7777, 703, 1389, 538, 2597, 331, 604, 1562, 543, 1053, 941, 1369, 7109, 762, 7182, 267, 855, 519, 2864, 10728, 2921, 540, 9360, 676, 5198, 3802, 619, 8507, 538, 3044, 22812, 5570, 2105, 4616, 2157, 1373, 7494, 25295, 538, 930, 2665, 269, 634, 11326, 540, 519, 1353, 2516, 540, 2597, 331, 604, 1562, 543, 5198, 3802, 619, 991, 547, 581, 22621, 269, 6484, 538, 7328, 267, 2597, 331, 14823, 267, 5198, 6972, 267, 1426, 21455, 563, 7468, 3430, 267, 623, 1122, 4445, 282, 16170, 333, 541, 267, 8349, 2106, 282, 32765, 517, 267, 4873, 31649, 454, 303, 17123, 270, 11917, 16633, 281, 901, 1353, 11567, 519, 2010, 540, 2029, 270, 7809, 2264, 4867, 1031, 676, 25763, 16323, 1153, 6484, 19971, 630, 17928, 17762, 264, 543, 12290, 741, 11994, 540, 7496, 547, 11449, 1007, 2029, 270, 7809, 2264, 269, 769, 1840, 267, 519, 2956, 540, 2104, 2029, 270, 7809, 2264, 4203, 29792, 538, 5870, 1153, 6484, 1982, 630, 17928, 303, 264, 3853, 7498, 10481, 2033, 344, 267, 674, 542, 320, 282, 23765, 267, 29366, 282, 4144, 3057, 571, 3960, 334, 267, 25014, 3821, 8857, 1729, 282, 14250, 15838, 267, 3967, 553, 631, 282, 32684, 267, 20900, 623, 282, 13983, 10719, 267, 21960, 326, 527, 589, 282, 31473, 267, 25909, 808, 454, 18128, 2064, 593, 2500, 9036, 8192, 7459, 568, 3908, 269, 634, 13354, 7145, 540, 513, 9036, 2825, 8192, 14842, 543, 606, 3872, 6304, 1312, 4805, 543, 538, 4999, 729, 12290, 8957, 513, 1852, 9036, 593, 5520, 262, 8192, 703, 1389, 267, 6484, 1702, 543, 1072, 4567, 269, 769, 519, 5253, 14893, 693, 4518, 12440, 6417, 4693, 267, 2185, 1804, 267, 1625, 1842, 1947, 5697, 5663, 28737, 538, 8581, 941, 21248, 547, 1852, 630, 301, 284, 9340, 1070, 6484, 2069, 630, 19733, 264, 630, 301, 284, 26297, 1070, 2825, 8192, 14842, 630, 5319, 1444, 264, 630, 301, 284, 13647, 264, 543, 6484, 2069, 543, 2825, 8192, 14842, 630, 23382, 1441, 264, 630, 301, 284, 6110, 264, 538, 476, 1001, 274, 269, 12594, 2069, 3769, 1895, 14245, 267, 1367, 29492, 543, 2143, 6484, 1344, 269, 7025, 8192, 14842, 3769, 10624, 14842, 267, 4829, 3902, 28774, 267, 7580, 17568, 540, 8902, 8925, 543, 6712, 2450, 1852, 269, 4578, 593, 8192, 703, 1389, 267, 6484, 1702, 543, 1072, 4567, 941, 5833, 693, 15977, 543, 1246, 5346, 693, 476, 278, 268, 280, 3000, 2195, 269, 5564, 21725, 2079, 540, 31809, 3379, 2242, 2066, 519, 2185, 2516, 609, 16369, 585, 2085, 267, 4008, 267, 3872, 4567, 543, 824, 15977, 4162, 269, 7427, 5346, 1239, 693, 476, 278, 268, 280, 3000, 2195, 941, 5833, 585, 476, 276, 6078, 5520, 630, 5038, 260, 540, 476, 25616, 25945, 264, 9907, 476, 1240, 268, 5038, 344, 8986, 281, 1852, 281, 476, 3583, 630, 8287, 15992, 4065, 281, 476, 13647, 630, 2004, 15992, 476, 10619, 630, 4792, 8472, 543, 10395, 1441, 281, 476, 29257, 630, 10170, 22103, 1703, 941, 1713, 2318, 2242, 538, 703, 1389, 540, 15459, 3170, 630, 335, 284, 271, 269, 25320, 1070, 6070, 630, 335, 284, 271, 269, 18089, 264, 543, 6484, 1702, 630, 335, 284, 271, 269, 271, 4097, 264, 1063, 15977, 543, 1246, 5346, 538, 519, 5916, 6304, 8957, 519, 1852, 269, 9540, 855, 1713, 2242, 538, 19483, 11196, 272, 269, 273, 11899, 8276, 263, 273, 264, 630, 4817, 260, 16275, 910, 273, 269, 4343, 276, 267, 910, 271, 269, 26289, 267, 533, 284, 271, 269, 271, 5325, 264, 941, 4767, 538, 519, 5916, 6304, 269, 12186, 538, 519, 2069, 543, 1604, 4805, 28737, 941, 4130, 543, 3622, 1875, 1606, 22658, 269, 26157, 6484, 2069, 543, 2825, 8192, 14842, 949, 581, 606, 2500, 1935, 585, 5009, 513, 2635, 2732, 543, 2597, 2530, 693, 960, 269, 14645, 9736, 476, 1001, 277, 454, 309, 5979, 657, 342, 6359, 330, 267, 595, 10422, 5919, 681, 5622, 6359, 267, 11709, 623, 13034, 9950, 5919, 918, 745, 1125, 267, 808, 5861, 5919, 5576, 1005, 267, 670, 6993, 5919, 1325, 5336, 600, 1146, 328, 267, 589, 5919, 10162, 657, 267, 1546, 715, 8160, 563, 25889, 270, 11917, 16633, 281, 763, 991, 585, 8192, 5646, 18522, 543, 9422, 1489, 538, 522, 5268, 31099, 2860, 2550, 568, 3622, 7608, 269, 1717, 267, 2963, 585, 519, 7145, 568, 23661, 269, 634, 2832, 540, 713, 1353, 729, 547, 4766, 8192, 5646, 18522, 267, 9422, 1489, 267, 1560, 2597, 543, 17219, 1282, 454, 312, 517, 267, 21861, 1415, 589, 5919, 9652, 267, 24981, 918, 5919, 12670, 267, 27692, 454, 763, 5356, 540, 7657, 1819, 5144, 538, 3506, 568, 513, 11786, 1888, 269, 772, 2529, 269, 4972, 540, 11982, 6042, 1631, 2154, 602, 7657, 1819, 5144, 538, 3506, 568, 3170, 6954, 269, 634, 11994, 267, 4978, 267, 543, 8456, 540, 476, 2641, 1153, 6484, 19971, 630, 17928, 17762, 264, 827, 519, 5356, 543, 2875, 10343, 540, 2539, 23343, 12929, 267, 7657, 1819, 5144, 941, 8268, 1210, 513, 1445, 7498, 1607, 15264, 8711, 519, 1909, 540, 1153, 6484, 4648, 538, 519, 2359, 540, 1426, 11959, 538, 3506, 269, 898, 849, 14439, 15509, 1426, 14711, 2200, 585, 3506, 269, 23095, 281, 476, 272, 270, 1724, 270, 1001, 276, 676, 2817, 4741, 585, 18127, 8376, 10644, 543, 2657, 8871, 10056, 630, 301, 6717, 7894, 27426, 1040, 11261, 1234, 548, 1078, 281, 476, 272, 270, 1724, 270, 1001, 276, 563, 289, 16808, 6242, 267, 715, 1690, 5055, 20653, 657, 334, 590, 2086, 320, 1470, 282, 7557, 5964, 267, 3026, 10042, 12756, 22870, 9809, 6242, 282, 1924, 4100, 267, 12756, 1849, 5451, 644, 807, 26890, 27004, 282, 623, 20041, 267, 1323, 601, 1047, 3204, 2088, 20858, 518, 454, 1607, 1353, 11394, 547, 11168, 1153, 1426, 607, 606, 1271, 3609, 547, 3895, 2875, 13190, 676, 1797, 540, 1426, 543, 6484, 2069, 3769, 538, 519, 6437, 267, 7471, 609, 1114, 11051, 543, 1759, 593, 519, 29459, 540, 15114, 269, 898, 11394, 547, 2132, 547, 4909, 2035, 538, 519, 2796, 540, 1153, 1426, 10452, 593, 873, 998, 7811, 10054, 547, 2697, 2009, 2994, 547, 3895, 15114, 543, 13190, 538, 1153, 269, 634, 2994, 3238, 1426, 543, 6484, 2069, 609, 519, 3232, 4527, 540, 2298, 543, 29839, 538, 1153, 6980, 267, 5717, 593, 519, 1585, 7516, 540, 1426, 538, 519, 6437, 543, 10128, 1426, 538, 519, 24099, 1788, 6905, 547, 1585, 2127, 540, 519, 2069, 1062, 269, 3427, 1426, 11942, 519, 991, 585, 5610, 540, 3527, 267, 11051, 543, 519, 1585, 1514, 5624, 5461, 538, 519, 1426, 3390, 267, 971, 607, 1295, 31559, 267, 2069, 1949, 267, 13623, 543, 3506, 267, 865, 602, 789, 949, 10994, 519, 7569, 540, 4207, 4641, 538, 606, 7471, 267, 9836, 267, 5812, 543, 3608, 6073, 563, 291, 2466, 686, 344, 631, 269, 772, 12534, 990, 454, 17359, 7956, 12232, 634, 2832, 540, 713, 1353, 729, 547, 8495, 519, 7145, 540, 2964, 1227, 15181, 23838, 689, 2030, 6878, 547, 3986, 9845, 685, 13916, 547, 7920, 2168, 2534, 269, 10613, 281, 634, 1843, 540, 519, 1353, 729, 519, 8192, 7110, 28822, 11456, 617, 267, 799, 568, 1759, 593, 519, 556, 785, 17621, 6132, 1156, 1849, 611, 8205, 678, 836, 11717, 2088, 543, 10910, 617, 2723, 320, 9782, 320, 538, 2597, 5223, 540, 476, 1015, 281, 272, 269, 1677, 1449, 519, 8192, 7110, 267, 649, 2919, 513, 2027, 10325, 585, 519, 4603, 543, 5697, 476, 1015, 16918, 9845, 630, 7901, 619, 543, 3575, 325, 16146, 269, 26465, 525, 941, 5258, 883, 476, 273, 2516, 543, 941, 896, 519, 1482, 2175, 630, 19256, 267, 2564, 5464, 267, 2713, 2175, 543, 2866, 1184, 269, 26465, 525, 540, 519, 8097, 1895, 941, 2016, 519, 8192, 7110, 28822, 11456, 617, 630, 322, 2355, 2544, 540, 476, 271, 269, 275, 575, 676, 5023, 1063, 6980, 476, 275, 2053, 513, 1554, 585, 476, 2764, 2395, 269, 634, 1852, 1895, 729, 2016, 21897, 630, 305, 5424, 6441, 665, 651, 8869, 29893, 538, 519, 1482, 2474, 538, 513, 2147, 1259, 269, 4438, 519, 4603, 267, 519, 9845, 941, 1199, 1227, 8947, 476, 274, 2053, 281, 693, 519, 4098, 267, 538, 519, 1647, 267, 543, 1310, 519, 1576, 540, 6304, 269, 1284, 6027, 4887, 2773, 267, 3170, 2527, 267, 4887, 2527, 267, 543, 16796, 9830, 540, 23280, 543, 2698, 19697, 269, 11778, 281, 898, 729, 3964, 602, 1282, 519, 14021, 2866, 540, 4216, 619, 543, 3575, 325, 16146, 585, 12773, 24515, 267, 7245, 540, 519, 8192, 7110, 28822, 11456, 617, 585, 476, 2764, 2395, 11689, 1242, 519, 6207, 543, 3448, 4887, 2527, 267, 7303, 922, 5786, 267, 538, 6476, 609, 519, 21897, 1895, 269, 2311, 519, 1482, 942, 267, 10832, 540, 3170, 2527, 8519, 3648, 538, 519, 8097, 1895, 269, 2991, 28720, 519, 1576, 540, 28822, 11456, 617, 267, 649, 1705, 711, 7747, 513, 1713, 6175, 538, 19697, 11305, 677, 18066, 5223, 267, 3379, 547, 519, 1852, 1895, 4935, 267, 519, 946, 540, 31127, 3742, 9360, 1759, 593, 6132, 1156, 6151, 2326, 543, 23838, 540, 6132, 1156, 6151, 2326, 609, 1114, 2030, 6878, 6087, 519, 1560, 547, 2333, 922, 13261, 1761, 543, 2168, 4390, 563, 763, 1353, 4951, 8192, 6959, 538, 782, 3379, 2516, 267, 7488, 540, 1747, 540, 15335, 267, 799, 729, 10630, 538, 519, 9422, 4567, 540, 519, 17013, 269, 634, 2164, 849, 8612, 602, 1282, 519, 10294, 1689, 538, 8192, 6208, 267, 519, 2126, 540, 19591, 2550, 1058, 1331, 8192, 5528, 538, 1931, 547, 2327, 606, 19993, 3761, 540, 5567, 454, 1372, 631, 622, 334, 590, 650, 10327, 267, 19468, 10961, 282, 6682, 2088, 6742, 27713, 267, 631, 589, 997, 807, 282, 744, 329, 20364, 590, 664, 345, 267, 26450, 320, 282, 2961, 516, 25123, 7402, 529, 334, 267, 23718, 282, 632, 3288, 30434, 16205, 657, 267, 9995, 571, 282, 3057, 1872, 17505, 632, 20353, 340, 1564, 11961, 267, 21280, 2946, 2494, 3241, 282, 4414, 32121, 1642, 681, 6403, 334, 267, 623, 1794, 454, 763, 1153, 18085, 8696, 2488, 513, 8101, 8167, 540, 519, 3232, 9422, 6981, 585, 1082, 1453, 269, 1703, 616, 9422, 4441, 585, 1153, 6980, 267, 2705, 267, 621, 568, 1869, 2352, 547, 2708, 519, 8192, 2298, 269, 1677, 1374, 513, 18102, 585, 12570, 519, 8192 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19948, 593, 6249, 281, 834, 11243, 11270, 4530, 4856, 516, 2388, 281, 932, 269, 476, 274, 1107, 589, 610, 645, 25767, 1142, 2243, 596, 14406, 269, 1411, 798, 711, 723, 547, 5299, 519, 11708, 267, 855, 596, 616, 10950, 547, 798, 865, 952, 596, 899, 1701, 1765, 19809, 13973, 912, 11243, 11270, 4530, 4856, 516, 2388, 281, 932, 269, 476, 274, 1107, 589, 610, 645, 25767, 1142, 2243, 596, 14406, 269, 1411, 798, 711, 723, 547, 5299, 519, 11708, 267, 855, 596, 616, 10950, 547, 798, 865, 952, 596, 899, 269, 1403, 513, 1966, 2838, 596, 547, 798, 960, 267, 596, 1590, 1397, 621, 593, 1957, 610, 4704, 707, 15072, 1957, 269, 3503, 519, 2626, 3903, 6730, 519, 2626, 543, 2322, 513, 4216, 1472, 621, 269, 1401, 269, 589, 269, 634, 3432, 4679, 563, 22711, 1948, 1428, 476, 1015, 270, 276, 270, 1556, 4635, 930, 540, 519, 2474, 689, 932, 269, 476, 275, 267, 2491, 1946, 621, 568, 1271, 547, 581, 9849, 513, 10160, 321, 3881, 538, 606, 8009, 563, 6637, 476, 275, 17086, 543, 13053, 779, 476, 274, 16572, 540, 18289, 454, 3674, 320, 659, 13053, 630, 12467, 3674, 320, 659, 13053, 568, 1510, 513, 8969, 835, 540, 519, 1034, 9565, 2367, 538, 1686, 269, 3807, 513, 1906, 540, 1010, 18517, 281, 29740, 519, 1101, 4052, 10452, 16263, 31603, 513, 3069, 540, 2681, 1519, 519, 2856, 602, 3043, 1769, 568, 7768, 540, 782, 4778, 540, 519, 22774, 2289, 1221, 519, 3432, 540, 3280, 31603, 11810, 689, 15072, 256, 4347, 1441, 519, 476, 274, 16572, 540, 18289, 602, 1827, 782, 3615, 2289, 1221, 519, 2360, 540, 8904, 630, 32143, 827, 519, 11945, 994, 2690, 576, 589, 3196, 568, 513, 7903, 610, 513, 7485, 269, 10414, 568, 711, 513, 3364, 538, 3294, 267, 855, 2864, 606, 5872, 1063, 1079, 3615, 269, 10414, 568, 513, 6152, 7274, 2507, 4287, 6927, 538, 519, 2626, 2336, 6124, 2023, 779, 3689, 4521, 968, 763, 4521, 540, 769, 1068, 807, 9232, 589, 1560, 3788, 693, 1964, 610, 7575, 538, 513, 2786, 1899, 693, 513, 3586, 3432, 8259, 19500, 2390, 676, 513, 2121, 3196, 269, 27014, 798, 711, 17108, 8259, 513, 2121, 3196, 568, 4294, 269, 17726, 909, 267, 20405, 1524, 267, 610, 1689, 4287, 454, 6124, 2023, 779, 3689, 4521, 769, 1068, 807, 568, 513, 3959, 540, 606, 1843, 1034, 5702, 1644, 547, 621, 779, 2527, 630, 2254, 547, 581, 11821, 609, 11610, 264, 602, 6941, 1946, 3615, 609, 3152, 2527, 5706, 513, 1689, 538, 5163, 811, 982, 1346, 609, 513, 14758, 2527, 563, 15187, 10414, 4880, 3196, 568, 519, 6152, 2040, 540, 20231, 4229, 9117, 593, 606, 1843, 269, 1403, 972, 568, 4642, 2121, 3196, 267, 1287, 972, 568, 4642, 10231, 630, 6247, 656, 6991, 1070, 713, 568, 513, 2027, 2013, 1572, 11466, 269, 1403, 972, 568, 513, 2121, 3196, 267, 972, 786, 581, 606, 10231, 269, 2334, 1797, 602, 519, 1843, 786, 581, 3432, 532, 909, 267, 23646, 1524, 267, 610, 4657, 4287, 563, 10403, 10610, 30894, 589, 5131, 10610, 12810, 568, 513, 2241, 5373, 602, 2982, 519, 9588, 543, 4287, 540, 782, 540, 519, 3196, 10321, 9117, 593, 606, 1843, 269, 634, 3259, 540, 519, 21985, 538, 6935, 547, 1142, 824, 568, 966, 28475, 1271, 269, 3962, 15561, 1590, 1448, 2476, 689, 519, 968, 16451, 1560, 892, 543, 581, 13042, 14013, 269, 634, 1062, 267, 519, 1843, 519, 3196, 568, 4294, 547, 267, 568, 6537, 607, 513, 26484, 5858, 563, 10403, 10610, 30894, 3371, 568, 606, 1383, 540, 513, 674, 9720, 540, 513, 1433, 693, 1964, 593, 513, 3349, 1283, 269, 674, 575, 568, 9117, 18746, 855, 568, 968, 7059, 9232, 676, 674, 715, 9117, 16057, 269, 11778, 568, 1100, 2121, 3196, 543, 4642, 10231, 269, 674, 326, 293, 326, 674, 22143, 301, 634, 1433, 568, 6537, 607, 513, 3440, 454, 10403, 10610, 30894, 3371, 568, 606, 1383, 540, 513, 674, 9720, 540, 513, 4216, 1373, 15504, 676, 513, 18052, 693, 513, 3586, 3432, 593, 513, 6366, 2627, 269, 674, 575, 543, 674, 715, 616, 1869, 6587, 543, 3160, 269, 674, 570, 543, 674, 535, 616, 849, 6587, 543, 3160, 269, 674, 326, 293, 326, 674, 22143, 301, 674, 307, 10499, 674, 325, 293, 325, 8629, 568, 538, 5163, 267, 855, 711, 23960, 563, 10403, 10610, 30894, 3371, 568, 606, 1383, 540, 513, 674, 9720, 540, 513, 3440, 896, 1863, 2887, 2175, 269, 674, 575, 568, 519, 1152, 3196, 9117, 593, 713, 1843, 269, 634, 2121, 3196, 568, 1524, 543, 519, 1843, 568, 23960, 269, 674, 326, 293, 326, 8629, 568, 538, 5163, 543, 23960, 563, 22711, 1948, 1626, 476, 1015, 270, 277, 270, 1556, 8571, 513, 1863, 1560, 6516, 585, 519, 1739, 3871, 281, 589, 1286, 5787, 919, 689, 1964, 593, 513, 6366, 4155, 630, 11004, 568, 1312, 11508, 689, 519, 2011, 543, 519, 2666, 1040, 634, 2230, 29060, 1175, 1310, 10131, 568, 23960, 16057, 630, 514, 2850, 11508, 689, 519, 2011, 994, 295, 310, 5999, 281, 623, 269, 476, 8660, 1948, 272, 268, 276, 8571, 513, 674, 9720, 585, 519, 1739, 3871, 281, 476, 272, 6993, 8768, 13607, 8813, 11884, 689, 513, 9486, 650, 269, 630, 296, 3913, 648, 1022, 4229, 1813, 547, 2011, 4187, 4700, 476, 273, 6993, 6607, 11651, 8813, 18746, 998, 519, 2011, 693, 3586, 6991, 269, 630, 763, 2011, 11851, 338, 606, 16057, 3196, 593, 519, 1268, 4700, 476, 274, 6993, 10814, 27605, 513, 1835, 622, 693, 513, 3586, 3432, 2066, 513, 8880, 2627, 269, 634, 2627, 2488, 513, 3196, 602, 759, 1235, 519, 1835, 622, 779, 5163, 269, 476, 275, 6993, 18052, 3076, 1206, 513, 19943, 693, 513, 3586, 3432, 269, 630, 296, 3913, 648, 2011, 4187, 4700, 476, 276, 6993, 18052, 24506, 513, 19943, 693, 513, 3586, 3432, 269, 630, 296, 3913, 648, 2011, 4187, 8094, 6124, 27971, 685, 5822, 4521, 634, 10231, 540, 606, 1843, 568, 2047, 14354, 547, 519, 2121, 3196, 9117, 593, 519, 1843, 267, 543, 11201, 569, 14354, 547, 519, 2527, 540, 519, 1843, 269, 993, 674, 2121, 454, 6124, 2023, 779, 5822, 1876, 540, 18289, 2560, 3901, 3012, 1227, 4880, 10414, 815, 630, 21346, 7565, 659, 5120, 566, 264, 674, 2121, 815, 12103, 454, 301, 11246, 307, 2177, 24202, 476, 273, 26998, 32045, 513, 674, 544, 13056, 544, 544, 674, 513, 544, 544, 544, 674, 513, 13056, 13056, 631, 631, 631, 454, 6124, 2023, 779, 476, 273, 26998, 4521, 6657, 5565, 9640, 616, 17444, 513, 476, 1911, 10275, 326, 7047, 538, 519, 1482, 4287, 267, 7311, 513, 3196, 540, 476, 2004, 715, 1142, 269, 1548, 568, 519, 10231, 540, 519, 7047, 286, 589, 269, 476, 273, 544, 4882, 476, 273, 645, 269, 476, 272, 544, 4882, 476, 273, 595, 269, 476, 271, 269, 276, 544, 4882, 476, 273, 667, 269, 476, 271, 544, 4882, 476, 273, 454, 12585, 645, 17217, 281, 1403, 649, 2015, 2318, 4287, 547, 581, 519, 4287, 540, 7485, 1287, 267, 2687, 547, 13053, 779, 2034, 1876, 2676, 6124, 2023, 779, 12059, 4521, 11059, 268, 3725, 9146, 4521, 5565, 4229, 602, 1118, 909, 606, 5872, 6292, 540, 4229, 616, 3160, 538, 9588, 267, 855, 6587, 538, 4287, 543, 957, 593, 1114, 3615, 563, 6124, 2023, 779, 12059, 4521, 1280, 1169, 2962, 267, 972, 568, 2141, 606, 3160, 630, 332, 1725, 3363, 264, 543, 6587, 630, 323, 3925, 264, 5114, 269, 1635, 968, 9146, 892, 610, 968, 516, 9146, 5608, 649, 1611, 513, 3196, 269, 11059, 22812, 9146, 4229, 798, 711, 957, 593, 519, 1482, 1843, 563, 288, 794, 281, 15177, 24864, 593, 9362, 31472, 281, 9362, 7903, 593, 15177, 454, 288, 794, 281, 12483, 24864, 593, 4155, 31472, 281, 4155, 24864, 593, 12483, 454, 26368, 693, 2547, 3670, 8424, 540, 2962, 3146, 9146, 3196, 8424, 538, 519, 1739, 6516, 912, 26574, 19613, 22709, 3047, 9855, 2107, 321, 1746, 3047, 476, 1240, 269, 275, 4846, 476, 5197, 715, 476, 1789, 715, 476, 271, 715, 476, 272, 270, 277, 540, 3047, 779, 454, 22709, 7136, 568, 519, 2179, 540, 2339, 538, 606, 1843, 630, 2254, 547, 581, 11821, 609, 2597, 264, 4746, 2808, 513, 2268, 540, 519, 24880, 540, 606, 1843, 6027, 538, 16038, 1770, 540, 13532, 630, 11899, 264, 2507, 952, 2527, 568, 2016, 538, 10101, 596, 1590, 6460, 2336, 26574, 13379, 568, 519, 18746, 3196, 2390, 606, 1843, 1813, 547, 10231, 3361, 676, 8904, 2597, 815, 2527, 630, 11899, 264, 1035, 4897, 269, 1813, 547, 8904, 630, 332, 4882, 476, 273, 3738, 674, 575, 815, 8406, 6027, 538, 1715, 27971, 630, 301, 994, 763, 2597, 540, 513, 476, 1015, 4846, 15839, 568, 1862, 589, 264, 476, 7176, 715, 645, 264, 476, 1015, 4846, 595, 264, 476, 280, 269, 279, 4846, 667, 264, 476, 1015, 715, 661, 264, 476, 7176, 4846, 454, 22709, 543, 13379, 2201, 519, 9855, 267, 519, 3196, 540, 8904, 568, 1152, 476, 272, 270, 277, 607, 2178, 607, 593, 519, 3047, 269, 630, 13627, 269, 476, 272, 269, 8287, 332, 4882, 476, 273, 3738, 2755, 28835, 267, 596, 616, 18374, 2597, 1652, 855, 707, 2527, 3788, 24240, 269, 2659, 2527, 1281, 711, 4096, 593, 1141, 707, 616, 269, 552, 3052, 269, 3047, 267, 9855, 267, 610, 2230, 454, 293, 16226, 609, 5794, 18650, 5794, 4187, 630, 323, 4048, 3196, 264, 4679, 609, 3432, 543, 2799, 3444, 22891, 1858, 543, 666, 581, 1198, 539, 676, 519, 2450, 543, 3337, 540, 606, 1843, 563, 28350, 1400, 20653, 6290, 24665, 566, 815, 575, 24665, 566, 2999, 575, 24665, 566, 24177, 575, 24665, 566, 815, 476, 271, 20653, 6290, 815, 476, 271, 855, 5163, 568, 827, 547, 2253, 642, 2810, 18746, 642, 1869, 2810, 18746, 1175, 711, 607, 6385, 607, 1354, 12910, 1400, 6991, 8406, 674, 674, 674, 4880, 10414, 454, 28350, 1400, 20653, 6290, 12910, 1400, 6991, 4386, 950, 519, 8749, 3196, 540, 2011, 4187, 3587, 1804, 2614, 547, 3666, 519, 3196, 540, 8904, 269, 2311, 713, 8216, 538, 942, 267, 972, 568, 1100, 2121, 3196, 2443, 519, 1843, 13515, 23960, 630, 5408, 667, 2630, 5148, 12363, 6991, 814, 1044, 6603, 563, 22711, 1948, 1704, 476, 1015, 270, 1556, 270, 1556, 5565, 2828, 6307, 543, 12756, 616, 3843, 547, 7485, 513, 476, 1015, 268, 4846, 11381, 538, 6587, 8846, 269, 1403, 12756, 4294, 513, 3196, 540, 476, 2568, 715, 543, 6307, 4294, 513, 3196, 540, 476, 2412, 715, 267, 538, 799, 4287, 786, 519, 11381, 1847, 543, 609, 1018, 10231, 286, 589, 269, 634, 11381, 786, 1847, 2509, 6307, 609, 606, 10231, 540, 476, 273, 544, 4882, 476, 273, 269, 645, 269, 634, 11381, 786, 1847, 2509, 6307, 609, 606, 10231, 540, 476, 1015, 544, 4882, 476, 273, 269, 595, 269, 634, 11381, 786, 1847, 2509, 12756, 609, 606, 10231, 540, 476, 273, 544, 4882, 476, 273, 269, 667, 269, 634, 11381, 786, 1847, 2509, 12756, 609, 606, 10231, 540, 476, 1015, 544, 4882, 476, 273, 563, 12585, 281, 595, 17217, 281, 4595, 519, 3196, 568, 4294, 538, 6587, 4287, 267, 952, 649, 2015, 12756, 779, 4287, 540, 7485, 547, 581, 2318, 4287, 1287, 267, 2121, 3196, 815, 476, 2568, 715, 1107, 476, 2412, 715, 815, 476, 736, 715, 269, 4935, 267, 519, 11381, 786, 1847, 2509, 12756, 609, 606, 10231, 563, 9223, 476, 272, 1403, 513, 6149, 568, 8288, 689, 513, 2527, 268, 1652, 18052, 267, 693, 799, 1747, 593, 519, 18052, 786, 972, 581, 811, 8082, 286, 589, 269, 634, 1283, 540, 519, 18052, 267, 2282, 519, 13622, 269, 645, 269, 634, 5377, 540, 519, 18052, 267, 2282, 519, 6149, 269, 595, 269, 634, 1647, 540, 519, 18052, 269, 667, 269, 634, 8082, 786, 581, 1482, 2429, 519, 18052, 563, 12585, 476, 272, 8382, 281, 667, 17217, 281, 5221, 519, 18052, 568, 10924, 547, 581, 1510, 2527, 267, 519, 8082, 10876, 538, 519, 18052, 568, 3160, 547, 519, 6149, 779, 2597, 563, 9223, 476, 273, 769, 513, 512, 1872, 6361, 21351, 2680, 267, 1312, 6887, 589, 543, 645, 11851, 606, 3160, 8082, 540, 476, 1220, 715, 593, 519, 18052, 269, 1548, 568, 519, 8082, 538, 519, 18052, 286, 769, 799, 4287, 786, 519, 18052, 1847, 286, 11512, 609, 519, 948, 540, 13053, 779, 3791, 1876, 563, 12585, 476, 273, 12243, 589, 11851, 338, 513, 8082, 540, 476, 1220, 715, 593, 519, 18052, 269, 4935, 267, 674, 589, 593, 18052, 815, 476, 1220, 715, 269, 6684, 267, 674, 645, 593, 18052, 815, 476, 1220, 715, 269, 1809, 519, 1079, 13253, 616, 606, 5872, 6292, 267, 865, 789, 616, 3160, 543, 6587, 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 ]
[ 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 1012, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 5130, 454, 7093, 341, 9202, 454, 22296, 300, 11561, 340, 2171, 1320, 293, 337, 306, 320, 454, 24062, 12208, 24833, 454, 277, 4281, 280, 1015, 9340, 273, 454, 14530, 25870, 14065, 278, 1240, 866, 454, 1708, 14338, 22446, 28883, 2918, 454, 26604, 279, 3066, 24062, 12208, 454, 15411, 26346, 25038, 454, 1892, 12693, 634, 10888, 4640, 585, 513, 1164, 24321, 6060, 692, 20464, 476, 1704, 267, 476, 1001, 280, 692, 20464, 476, 1704, 267, 476, 1001, 280, 692, 5400, 281, 876, 7537, 623, 4306, 692, 6021, 281, 876, 7537, 623, 4306, 692, 9596, 519, 10888, 4640, 585, 513, 1164, 24321, 6060, 2443, 1018, 798, 1004, 945, 3914, 513, 1164, 6060, 798, 8335, 286, 1284, 2811, 2469, 547, 2671, 4030, 267, 4388, 543, 2994, 689, 1239, 649, 4312, 6394, 689, 936, 476, 2004, 267, 1822, 1053, 945, 1031, 981, 303, 3201, 563, 1892, 12693, 5131, 17918, 15613, 5680, 14373, 692, 20464, 476, 866, 267, 476, 1001, 280, 692, 20464, 476, 866, 267, 476, 1001, 280, 692, 5881, 281, 876, 7537, 623, 4306, 692, 6021, 281, 876, 7537, 623, 4306, 692, 288, 574, 532, 547, 6060, 476, 31318, 266, 286, 29934, 713, 17676, 8400, 547, 1451, 875, 547, 16294, 707, 17918, 15613, 267, 8073, 707, 5530, 4643, 543, 9457, 519, 11759, 10341, 547, 14133, 593, 519, 17918, 780, 258, 634, 5666, 540, 942, 602, 1614, 26933, 5249, 593, 513, 2027, 5859, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 276, 2641, 7367, 454, 763, 5666, 540, 942, 602, 1614, 26933, 5249, 593, 513, 2027, 5859, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1839, 5463, 476, 1001, 278, 267, 476, 876, 281, 1724, 454, 876, 281, 876, 692, 11795, 22187, 1384, 1428, 260, 630, 869, 2020, 9223, 853, 1846, 1384, 8660, 260, 630, 4905, 281, 4366, 264, 2953, 476, 1556, 260, 630, 876, 281, 6321, 264, 4636, 1759, 593, 476, 2641, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 763, 5666, 540, 942, 602, 1614, 26933, 5249, 593, 513, 2027, 5859, 616, 538, 519, 5223, 540, 476, 272, 547, 476, 273, 547, 476, 276, 269, 1403, 789, 5249, 606, 3328, 630, 541, 10379, 1611, 264, 540, 476, 4510, 3108, 829, 1268, 593, 519, 5859, 267, 875, 1082, 3108, 1705, 519, 10324, 945, 5249, 519, 13074, 6108, 593, 519, 5859, 2496, 288, 269, 476, 13136, 454, 289, 269, 476, 15171, 454, 290, 269, 476, 11025, 269, 276, 454, 291, 269, 476, 4037, 454, 292, 269, 476, 2767, 269, 276, 692, 6303, 29390, 1410, 600, 303, 3201, 11724, 894, 454, 16274, 281, 476, 5881, 5463, 476, 1001, 278, 454, 15803, 281, 476, 279, 6858, 454, 3725, 281, 634, 5666, 540, 942, 602, 1614, 26933, 5249, 593, 513, 2027, 5859, 1109, 1496, 258, 21529, 6540, 2162, 8058, 16193, 692, 1839, 5463, 476, 1001, 278, 267, 476, 876, 281, 6812, 454, 289, 684, 3241, 5206, 912, 763, 5666, 540, 942, 602, 1614, 26933, 5249, 593, 513, 2027, 5859, 616, 538, 519, 5223, 540, 476, 272, 547, 476, 273, 547, 476, 276, 269, 1403, 789, 5249, 606, 3328, 630, 541, 10379, 1611, 264, 540, 476, 4510, 3108, 829, 1268, 593, 519, 5859, 267, 875, 1082, 3108, 1705, 519, 10324, 945, 5249, 519, 13074, 6108, 593, 519, 5859, 2496, 288, 269, 476, 13136, 454, 289, 269, 476, 15171, 454, 290, 269, 476, 11025, 269, 276, 454, 291, 269, 476, 4037, 454, 292, 269, 476, 2767, 269, 276, 692, 2026, 649, 723, 519, 12753, 543, 519, 2698, 267, 649, 3513, 1175, 5173, 563, 1607, 568, 513, 2776, 322, 1047, 1935, 780, 763, 1614, 26933, 1927, 5249, 585, 513, 2698, 540, 476, 272, 1341, 476, 273, 1341, 476, 276, 815, 476, 279, 1412, 7806, 1470, 4559, 23823, 306, 1338, 789, 5249, 585, 606, 3328, 540, 476, 4510, 3108, 267, 789, 5249, 585, 513, 2698, 540, 476, 4510, 265, 274, 815, 476, 15171, 3108, 563, 10190, 1142, 5223, 1770, 568, 4502, 476, 15171, 270, 279, 815, 630, 3199, 266, 2412, 266, 1321, 8358, 279, 815, 476, 1015, 1341, 276, 1341, 476, 272, 269, 276, 815, 476, 1626, 269, 276, 3108, 563, 11997, 519, 9441, 945, 5249, 519, 13074, 630, 1721, 476, 276, 5223, 4559, 264, 5249, 585, 476, 276, 265, 1626, 269, 276, 815, 476, 11025, 269, 276, 3108, 780, 6303, 29390, 3725, 281, 634, 5666, 540, 942, 602, 1614, 26933, 5249, 593, 513, 2027, 5859, 1299, 333, 2125, 1496, 258, 21529, 316, 476, 1839, 5463, 476, 1001, 278, 267, 476, 876, 281, 6812, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 307, 1716, 776, 3406, 5690, 1384, 32051, 2433, 4578, 3613, 23461, 268, 14607, 3596, 916, 1923, 4427, 21145, 2433, 9612, 27122, 1923, 1635, 14840, 1676, 8061, 7831, 8242, 281, 476, 1708, 271, 268, 1556, 268, 4962, 476, 1556, 281, 4649, 281, 6872, 7348, 539, 2433, 476, 15876, 692, 307, 1716, 776, 3406, 5690, 1384, 288, 512, 1716, 776, 3406, 5690, 568, 513, 4480, 538, 2780, 2257, 585, 4466, 519, 5934, 610, 5021, 540, 513, 796, 574, 27567, 1599, 634, 5690, 11887, 2901, 602, 519, 5934, 610, 5021, 3112, 581, 538, 519, 1101, 3791, 540, 519, 6389, 610, 602, 621, 3112, 581, 538, 519, 2063, 3791, 540, 519, 6389, 267, 1287, 28197, 593, 519, 6967, 3791, 780, 310, 528, 560, 30924, 2773, 630, 8421, 274, 18217, 11723, 16032, 30924, 2773, 744, 263, 272, 2020, 30182, 2773, 630, 8421, 274, 18217, 11723, 310, 528, 560, 30924, 2230, 6988, 744, 263, 272, 2020, 272, 269, 12726, 23990, 2433, 7042, 10818, 1109, 1181, 776, 15507, 6600, 267, 2451, 267, 1318, 267, 6207, 7093, 17800, 994, 2260, 3847, 543, 1318, 616, 519, 1699, 23451, 282, 519, 5021, 568, 1063, 873, 454, 604, 1109, 263, 2431, 268, 3847, 2999, 6207, 7093, 17800, 994, 8873, 1109, 263, 3847, 266, 2431, 8358, 273, 2451, 23612, 28701, 630, 3847, 265, 273, 266, 2431, 8358, 274, 1318, 23612, 28701, 630, 3847, 266, 2431, 265, 273, 8358, 274, 692, 604, 1109, 6600, 263, 3847, 23612, 264, 2999, 535, 263, 2431, 23612, 4917, 8873, 1109, 1181, 776, 15507, 6600, 267, 2451, 23612, 267, 1318, 267, 6207, 7093, 17800, 994, 12828, 454, 8873, 1109, 1181, 776, 15507, 6600, 267, 2451, 267, 1318, 23612, 267, 6207, 7093, 17800, 994, 754, 692, 273, 269, 7151, 1384, 307, 1716, 776, 15507, 12459, 6072, 692, 319, 1109, 17569, 720, 27460, 22563, 282, 1109, 26384, 5814, 28162, 269, 583, 559, 269, 6635, 7590, 16963, 21504, 1362, 570, 1716, 776, 15507, 1109, 2715, 692, 1440, 10675, 11979, 2999, 307, 11498, 10313, 762, 283, 307, 9563, 703, 512, 1716, 776, 15507, 630, 307, 26514, 2855, 267, 570, 1883, 267, 703, 1376, 267, 703, 1439, 264, 2715, 692, 604, 630, 11034, 3436, 1439, 264, 2715, 692, 8873, 910, 272, 16963, 10926, 270, 265, 3689, 10465, 281, 1039, 476, 272, 270, 274, 540, 3259, 547, 1376, 2608, 270, 692, 842, 4571, 272, 815, 1376, 1341, 630, 754, 910, 1376, 264, 1315, 476, 274, 16963, 270, 265, 5822, 10465, 281, 1039, 476, 273, 270, 274, 540, 3259, 547, 1376, 2608, 270, 692, 842, 4571, 273, 815, 1376, 1341, 476, 273, 2608, 630, 754, 910, 1376, 264, 1315, 476, 274, 16963, 604, 630, 4486, 2593, 6768, 2414, 19906, 314, 13232, 272, 8079, 2652, 476, 271, 264, 2715, 692, 8873, 4571, 272, 16963, 348, 3116, 952, 630, 4486, 2593, 6768, 2414, 19906, 314, 13232, 273, 8079, 2652, 476, 271, 264, 2715, 692, 8873, 4571, 273, 16963, 10926, 270, 265, 9612, 519, 1101, 630, 272, 270, 274, 264, 678, 323, 851, 540, 519, 5044, 269, 2608, 270, 692, 12828, 952, 630, 4486, 2593, 6768, 2414, 19906, 314, 13232, 272, 8079, 2999, 476, 271, 264, 2715, 692, 8873, 512, 1716, 776, 15507, 19906, 267, 1883, 267, 1376, 267, 4534, 13232, 272, 32007, 10926, 270, 265, 9612, 476, 274, 6113, 630, 272, 270, 274, 264, 6113, 851, 540, 519, 5044, 2608, 270, 692, 12828, 952, 630, 4486, 2593, 6768, 2414, 19906, 314, 13232, 273, 8079, 3436, 476, 271, 264, 2715, 692, 8873, 512, 1716, 776, 15507, 19906, 267, 1883, 267, 1341, 266, 13232, 273, 267, 1439, 32007, 10926, 270, 265, 9612, 1647, 630, 272, 270, 274, 264, 6113, 851, 540, 519, 5044, 2608, 270, 692, 12828, 2715, 692, 8873, 512, 1716, 776, 15507, 19906, 267, 1883, 267, 4571, 272, 267, 4571, 273, 32007, 10926, 10926, 21504, 11979, 20704, 1292, 263, 21803, 26571, 314, 8079, 2715, 692, 842, 561, 267, 678, 267, 1267, 267, 1883, 16963, 18204, 518, 5044, 26514, 815, 2715, 476, 1556, 267, 476, 2420, 267, 476, 274, 267, 476, 1691, 267, 476, 1839, 267, 476, 1626, 267, 476, 2767, 267, 476, 1240, 267, 476, 3066, 267, 476, 1015, 7684, 16963, 2260, 23037, 519, 5044, 692, 6635, 7590, 31699, 263, 6783, 32007, 21902, 269, 719, 31428, 2891, 306, 9285, 26275, 281, 834, 32007, 1721, 630, 18204, 518, 2855, 2433, 5044, 264, 2715, 692, 21902, 269, 719, 31428, 19906, 1341, 834, 834, 32007, 10926, 2260, 18786, 4994, 692, 331, 815, 476, 271, 16963, 2260, 3259, 540, 5044, 692, 337, 815, 5044, 32324, 16963, 2260, 6206, 547, 581, 22646, 538, 519, 5044, 692, 4486, 815, 476, 1839, 16963, 14310, 815, 512, 1716, 776, 15507, 263, 6783, 267, 1883, 267, 561, 267, 678, 32007, 21902, 269, 719, 31428, 15238, 2891, 12039, 540, 834, 1341, 1883, 1341, 834, 568, 834, 1341, 1267, 32007, 2260, 6206, 547, 581, 22646, 538, 519, 5044, 692, 4486, 815, 476, 5611, 16963, 14310, 815, 512, 1716, 776, 15507, 263, 6783, 267, 476, 276, 267, 561, 267, 678, 32007, 21902, 269, 719, 31428, 15238, 2891, 19340, 540, 834, 1341, 1883, 1341, 834, 568, 834, 1341, 1267, 32007, 10926, 10926, 20479, 1384, 306, 9285, 26275, 281, 476, 274, 476, 1015, 476, 1556, 476, 1691, 476, 1626, 476, 1240, 476, 2420, 476, 1839, 476, 2767, 476, 3066, 692, 19340, 540, 476, 1839, 568, 476, 278, 692, 19340, 540, 476, 5611, 568, 910, 272, 0, 18439, 11020, 22709, 454, 18704, 692, 258, 4959, 30838, 4354, 557, 692, 1607, 1543, 729, 2910, 18444, 3633, 689, 11020, 22709, 2593, 910, 7348, 519, 3312, 267, 543, 1205, 519, 2907, 10687, 921, 1540, 3070, 1934, 2439, 269, 9046, 476, 272, 454, 22428, 602, 519, 3830, 585, 14628, 9709, 7836, 267, 4455, 568, 7442, 815, 476, 277, 267, 1220, 268, 1220, 337, 543, 519, 1871, 540, 519, 12750, 1512, 267, 737, 267, 568, 476, 273, 269, 276, 563, 5416, 264, 14216, 633, 519, 3830, 585, 519, 4959, 7455, 267, 962, 815, 737, 25721, 269, 8641, 519, 4959, 7455, 585, 1719, 3928, 1063, 476, 271, 543, 476, 279, 267, 609, 11996, 540, 835, 28451, 540, 513, 6871, 1448, 780, 6357, 264, 14597, 519, 3830, 585, 519, 30838, 7455, 568, 962, 815, 476, 1724, 267, 4335, 1341, 476, 1911, 337, 269, 2422, 713, 3830, 547, 2491, 519, 1377, 540, 4747, 693, 799, 972, 568, 513, 4642, 2539, 3808, 593, 519, 5313, 7482, 2557, 267, 519, 1719, 2557, 602, 519, 12658, 8060, 780, 6262, 264, 8641, 519, 30838, 7455, 585, 1719, 3928, 1063, 476, 271, 543, 476, 279, 267, 609, 8884, 540, 835, 28451, 540, 513, 6871, 1448, 780, 10059, 2517, 28090, 21346, 2593, 27160, 21643, 8276, 659, 19172, 21643, 270, 529, 2000, 332, 268, 2017, 557, 268, 6812, 277, 5392, 279, 692, 2971, 8827, 2776, 1613, 692, 8450, 519, 7923, 3758, 269, 8729, 692, 19370, 476, 272, 454, 22428, 602, 519, 3830, 585, 14628, 9709, 7836, 267, 4455, 568, 7442, 815, 476, 277, 267, 1220, 268, 1220, 337, 543, 519, 1871, 540, 519, 12750, 1512, 267, 737, 267, 568, 476, 273, 269, 276, 563, 5416, 264, 14216, 633, 519, 3830, 585, 519, 4959, 7455, 267, 962, 815, 737, 25721, 269, 8641, 519, 4959, 7455, 585, 1719, 3928, 1063, 476, 271, 543, 476, 279, 267, 609, 11996, 540, 835, 28451, 540, 513, 6871, 1448, 563, 312, 284, 330, 25721, 454, 25721, 815, 476, 30663, 271, 268, 1220, 337, 454, 330, 284, 273, 269, 276, 454, 312, 815, 476, 273, 269, 276, 16732, 30663, 271, 268, 1220 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 723, 596, 2907, 1044, 547, 286, 1656, 799, 3283, 588, 5803, 707, 32603, 331, 755, 1034, 888, 9616, 281, 1284, 949, 7118, 2724, 689, 24988, 4891, 952, 596, 4444, 998, 6402, 593, 938, 3135, 563, 1789, 269, 14861, 710, 4793, 6782, 807, 454, 1103, 713, 3148, 540, 519, 1656, 525, 267, 596, 3580, 1265, 22260, 267, 28033, 4054, 267, 2620, 4544, 12647, 543, 2312, 22839, 10876, 596, 1413, 269, 1280, 513, 7552, 2407, 540, 7045, 543, 6602, 267, 972, 616, 1906, 1732, 18353, 593, 519, 4541, 563, 5591, 7552, 568, 2347, 1510, 513, 3643, 547, 519, 6159, 1375, 344, 6778, 23575, 20858, 267, 519, 554, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 6635, 8157, 1733, 2718, 630, 1626, 628, 268, 736, 628, 5553, 17983, 607, 851, 540, 834, 19615, 1315, 21069, 3204, 687, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 6092, 5149, 281, 5080, 21129, 262, 7330, 2439, 8702, 267, 17774, 546, 26360, 543, 546, 644, 22863, 256, 5620, 596, 2479, 9289, 827, 519, 3579, 12545, 602, 17774, 619, 946, 547, 11878, 519, 6329, 286, 1452, 616, 1572, 17774, 15236, 267, 543, 789, 2097, 538, 782, 5546, 543, 7306, 269, 4653, 267, 649, 786, 1451, 3388, 972, 568, 547, 917, 827, 17774, 15236, 543, 875, 789, 948, 721, 2972, 519, 13858, 7328, 540, 17774, 532, 269, 1924, 10544, 707, 7669, 338, 7057, 267, 1577, 781, 4685, 883, 713, 6632, 1412, 333, 3552, 1158, 2439, 6637, 476, 272, 281, 1548, 781, 513, 5080, 325, 4580, 888, 10900, 19567, 288, 17774, 4580, 568, 513, 7522, 267, 6366, 4604, 1031, 585, 14964, 5836, 6329, 1247, 7555, 909, 610, 14084, 1524, 269, 898, 568, 3335, 1500, 540, 17426, 2326, 899, 17371, 4988, 609, 4017, 1120, 20199, 543, 18300, 267, 1818, 621, 2653, 585, 17774, 619, 547, 4163, 1472, 543, 6023, 950, 20414, 1346, 28594, 8765, 6329, 2439, 2162, 2913, 781, 2911, 2450, 2439, 5331, 952, 596, 1185, 547, 3666, 593, 1945, 607, 6263, 607, 513, 21491, 1157, 1107, 9157, 267, 1318, 286, 2334, 781, 1946, 17774, 15236, 991, 547, 581, 2462, 2614, 585, 17774, 619, 547, 2226, 741, 6617, 593, 519, 1216, 269, 3776, 1383, 17774, 4580, 3800, 5111, 476, 7830, 6279, 630, 528, 827, 476, 276, 3952, 264, 1279, 267, 799, 2636, 7899, 540, 4055, 585, 1312, 14987, 1565, 547, 1796, 543, 4359, 26348, 7900, 15361, 780, 310, 5954, 6927, 1932, 256, 589, 9962, 17774, 4580, 2488, 811, 2627, 1858, 267, 3850, 17774, 619, 547, 31784, 3362, 998, 519, 1216, 543, 3251, 7059, 2899, 789, 6952, 513, 5951, 269, 2311, 476, 11260, 6279, 2647, 267, 938, 3732, 17774, 4580, 3091, 15792, 2230, 585, 891, 5301, 780, 7661, 267, 11098, 4249, 922, 851, 538, 4180, 6099, 2773, 269, 774, 1157, 518, 12545, 1683, 1732, 29404, 543, 6617, 267, 2523, 5363, 585, 18219, 17774, 619, 269, 1717, 267, 25182, 12545, 2709, 2799, 23603, 1464, 1813, 547, 4389, 8749, 269, 2060, 513, 11098, 540, 476, 1428, 6279, 267, 938, 12286, 17774, 4580, 16716, 513, 6126, 5420, 1063, 26255, 3599, 543, 22231, 780, 6637, 476, 273, 281, 11426, 1944, 2659, 681, 728, 454, 28598, 5970, 596, 2479, 4941, 547, 1711, 1945, 5963, 2189, 1175, 585, 596, 286, 4270, 267, 17774, 619, 798, 602, 609, 741, 17774, 15236, 256, 1358, 1419, 21160, 873, 676, 7206, 6946, 6272, 610, 3270, 267, 4946, 29654, 267, 610, 1256, 5935, 519, 4604, 3294, 780, 1103, 938, 2013, 1353, 267, 513, 2199, 7376, 945, 849, 22595, 14948, 560, 12097, 1688, 8154, 539, 519, 1374, 585, 519, 17774, 4580, 5018, 4505, 269, 1635, 3257, 865, 267, 646, 3773, 1010, 2123, 5905, 547, 3986, 519, 5898, 543, 2511, 540, 519, 4604, 269, 3767, 267, 1169, 942, 2576, 3096, 713, 17774, 4580, 267, 789, 666, 1397, 1055, 741, 1378, 23141, 1247, 2267, 2358, 2059, 519, 6329, 780, 6637, 476, 274, 281, 27973, 547, 670, 836, 14210, 888, 10900, 19030, 3086, 602, 649, 1174, 1018, 17774, 15236, 616, 543, 875, 1271, 29356, 666, 581, 267, 1577, 781, 1205, 856, 972, 543, 1376, 17774, 532, 256, 5457, 2141, 547, 2259, 3106, 1101, 267, 5957, 3617, 10591, 971, 607, 24429, 543, 1272, 642, 3949, 267, 543, 2760, 979, 4805, 269, 1656, 1034, 11932, 267, 723, 1187, 2439, 5226, 714, 5384, 2336, 29603, 272, 269, 1215, 1131, 596, 4766, 519, 3259, 267, 8700, 267, 543, 11098, 540, 513, 6093, 17774, 4580, 888, 273, 269, 4208, 1522, 17774, 619, 3442, 547, 21160, 741, 12545, 888, 274, 269, 5903, 1614, 2081, 17774, 619, 2327, 741, 3106, 1354, 18644, 519, 7297, 563, 275, 269, 2052, 596, 2012, 1022, 824, 5026, 1141, 5171, 946, 2147, 3937, 630, 3697, 6777, 24692, 610, 25920, 24692, 21663, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20578, 13556, 676, 2199, 7376, 543, 8227, 540, 28478, 8124, 560, 12097, 269, 4706, 476, 7830, 1279, 267, 476, 11260, 2647, 543, 476, 1428, 5394, 269, 634, 6221, 834, 20776, 325, 4580, 257, 568, 538, 9042, 2094, 14349, 267, 5130, 476, 1626, 267, 476, 1708, 272, 269, 901, 6221, 568, 538, 519, 7121, 834, 306, 1636, 532, 6153, 338, 315, 12850, 11846, 315, 20776, 325, 532, 315, 20776, 325, 15236, 8487, 763, 22673, 568, 834, 330, 636, 17369, 879, 257, 543, 568, 4092, 538, 631, 1092, 9774, 267, 1715, 14948, 269, 901, 6221, 666, 581, 25855, 547, 2136, 2276, 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, 7689, 7170, 281, 4197, 11146, 543, 17716, 609, 6435, 689, 18321, 692, 29020, 281, 4841, 786, 1451, 827, 519, 2956, 540, 5132, 538, 3347, 543, 875, 621, 666, 7794, 7554, 1063, 1004, 269, 1358, 786, 849, 2263, 1114, 3344, 540, 2648, 543, 7029, 1369, 513, 3909, 2796, 780, 7072, 281, 5620, 596, 2479, 9289, 1018, 2306, 930, 3347, 2063, 11014, 1247, 1866, 1810, 1406, 286, 3509, 1004, 3494, 602, 2348, 5132, 4249, 513, 1713, 1909, 538, 2679, 2178, 4296, 609, 1866, 269, 4653, 649, 786, 3605, 875, 5132, 666, 948, 721, 1174, 2648, 543, 3347, 1732, 2439, 4089, 476, 272, 281, 1548, 568, 18321, 543, 4208, 568, 898, 12830, 538, 17716, 888, 293, 28216, 4016, 547, 3972, 610, 3661, 538, 1945, 610, 2576, 267, 1419, 5473, 513, 2362, 1379, 899, 2696, 269, 11109, 5132, 1797, 13461, 593, 713, 2362, 1379, 585, 5583, 543, 1489, 269, 901, 4276, 666, 1683, 4313, 543, 6617, 538, 938, 2729, 267, 799, 568, 2523, 1271, 950, 10188, 1950, 3871, 971, 607, 11509, 3347, 269, 1635, 6220, 5132, 883, 707, 2078, 267, 596, 1711, 513, 4514, 6125, 1759, 593, 3838, 2418, 543, 4978, 780, 7078, 281, 5994, 596, 543, 707, 3659, 1312, 7390, 5939, 1169, 10732, 269, 5221, 540, 707, 3838, 5132, 267, 596, 723, 2834, 5717, 827, 26069, 543, 7881, 267, 4543, 596, 1332, 6251, 1927, 269, 1411, 949, 1256, 7119, 538, 2146, 3028, 3785, 23032, 676, 707, 1747, 540, 10847, 267, 2417, 4396, 4328, 707, 11505, 780, 4089, 476, 273, 281, 10289, 11146, 3414, 16241, 17546, 902, 454, 6624, 10764, 2709, 10752, 593, 1585, 3029, 540, 2648, 1107, 1582, 2000, 913, 267, 22686, 2648, 267, 3531, 4577, 2648, 267, 543, 11509, 2648, 269, 1452, 4245, 11168, 8296, 267, 19807, 267, 9639, 267, 11587, 267, 543, 2463, 2509, 13951, 543, 1866, 269, 16792, 891, 3741, 538, 3232, 1272, 2636, 2043, 547, 1628, 6793, 4296, 12082, 538, 6568, 543, 1620, 780, 12244, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 873, 835, 540, 519, 1739, 4247, 1384, 265, 3194, 13400, 15102, 7234, 2648, 543, 2671, 707, 4681, 609, 519, 1362, 563, 265, 9181, 875, 3909, 5931, 5581, 2648, 8335, 982, 16712, 2959, 630, 324, 3052, 1421, 2835, 267, 9413, 1916, 265, 8073, 513, 16968, 15386, 1614, 2081, 547, 2769, 2648, 2687, 547, 3909, 10752, 780, 4089, 476, 274, 281, 8758, 618, 543, 15762, 337, 12715, 10738, 513, 16241, 12745, 454, 1805, 3994, 19647, 543, 24279, 6542, 2620, 20174, 543, 1416, 585, 1776, 1268, 269, 1280, 1082, 267, 713, 3322, 1818, 642, 3298, 1354, 2696, 1282, 18428, 899, 12311, 26204, 269, 10435, 14767, 1354, 513, 2362, 1379, 8591, 4644, 543, 3978, 1145, 547, 519, 7029, 267, 8716, 4891, 547, 2611, 10121, 543, 6131, 2429, 741, 3460, 1927, 780, 30206, 7726, 281, 6056, 827, 513, 942, 950, 596, 1500, 513, 9153, 547, 2576, 2673, 547, 596, 269, 1215, 1705, 5329, 602, 9153, 1764, 707, 2078, 286, 3767, 4952, 1818, 602, 1482, 9153, 1354, 2696, 282, 798, 596, 1589, 621, 1131, 1689, 875, 12517, 596, 3576, 519, 7029, 2496, 6962, 281, 10801, 1686, 267, 4984, 814, 5129, 606, 1898, 1909, 538, 5935, 2123, 2418, 267, 13057, 5837, 3664, 267, 543, 5807, 6209, 3347, 269, 1306, 1762, 4079, 267, 1565, 827, 519, 3310, 540, 5132, 593, 14375, 6384, 22316, 721, 585, 2104, 4205, 609, 2828, 267, 1920, 2818, 267, 543, 1761, 11509, 4891, 269, 5457, 267, 1100, 2339, 1141, 596, 1265, 3054, 538, 1272, 267, 2141, 2259, 11587, 267, 2463, 267, 543, 1930, 16490, 1145, 4724, 1866, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9349, 700, 1478, 8249, 267, 31876, 585, 19536, 543, 23255, 454, 347, 12709, 1315, 15406, 305, 454, 8368, 540, 12937, 454, 27094, 2334, 700, 6814, 454, 294, 776, 1299, 645, 1115, 344, 26548, 25458, 328, 454, 9873, 271, 595, 29266, 9335, 267, 5453, 26293, 267, 14889, 476, 31430, 9262, 454, 15647, 16328, 4281, 273, 271, 1269, 1321, 269, 4200, 8940, 6983, 1484, 3118, 2593, 454, 27094, 2334, 700, 6814, 281, 1879, 25141, 2725, 1115, 24553, 676, 27722, 543, 645, 1115, 344, 26548, 25458, 328, 568, 606, 31369, 3391, 547, 519, 2648, 543, 11428, 602, 616, 519, 13210, 540, 513, 3811, 543, 11972, 7365, 269, 28038, 519, 12497, 1620, 540, 2696, 1373, 513, 4909, 2460, 540, 513, 29281, 2078, 267, 11146, 2334, 700, 6814, 11438, 922, 3988, 998, 519, 15982, 8480, 593, 7863, 18813, 640, 540, 513, 7365, 543, 7863, 519, 4690, 540, 1346, 3238, 538, 519, 7365, 998, 519, 16180, 2619, 540, 2696, 781, 4971, 906, 543, 25736, 269, 11146, 2334, 700, 6814, 568, 1360, 3810, 5227, 585, 782, 4168, 15185, 585, 922, 859, 25607, 543, 1167, 518, 940, 8223, 540, 2696, 267, 543, 519, 8226, 540, 7365, 607, 519, 9759, 540, 1079, 1004, 543, 741, 8994, 2648, 2696, 607, 513, 851, 540, 15962, 1142, 824, 563, 4537, 8083, 1656, 1733, 7371, 619, 454, 297, 3317, 11717, 700, 269, 4591, 6199, 454, 310, 332, 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, 2878, 16215, 7170, 281, 6154, 601, 3496, 2659, 10158, 547, 11773, 281, 5675, 543, 3798, 1746, 4373, 1262, 7072, 26279, 5970, 596, 2479, 2219, 827, 7432, 707, 2648, 585, 1603, 543, 11049, 883, 513, 1483, 1870, 286, 1306, 513, 28479, 22083, 267, 596, 666, 960, 689, 1753, 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 ]
[ 271, 317, 273, 1341, 476, 271, 317, 273, 815, 476, 272, 692, 7078, 476, 273, 1384, 19152, 281, 562, 815, 476, 273, 454, 20479, 281, 7301, 7531, 3519, 14259, 6493, 1384, 272, 10922, 562, 10922, 476, 273, 317, 4029, 910, 476, 272, 692, 18257, 692, 5035, 8827, 24998, 2187, 825, 1219, 568, 31917, 4311, 267, 562, 2187, 1038, 8173, 1038, 2433, 6943, 562, 281, 703, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 10956, 815, 11713, 1038, 1247, 562, 11203, 476, 272, 912, 2018, 521, 815, 1193, 3799, 994, 2018, 1535, 815, 476, 271, 454, 2018, 585, 1775, 538, 521, 912, 3546, 1535, 6834, 703, 9217, 264, 2878, 476, 273, 454, 2018, 952, 1535, 538, 10956, 912, 3546, 2132, 8771, 454, 2018, 10956, 6910, 3287, 994, 2018, 562, 815, 1535, 454, 1038, 952, 562, 2652, 476, 272, 912, 2018, 2132, 6936, 692, 1038, 2132, 8771, 692, 258, 562, 815, 476, 866, 454, 258, 7682, 6936, 2652, 8827, 14061, 529, 31917, 3799, 2020, 333, 815, 476, 1704, 454, 16386, 8771, 2652, 8827, 14061, 529, 31917, 3799, 2020, 333, 815, 476, 278, 454, 11405, 14061, 529, 31917, 3799, 994, 0, 18411, 25583, 281, 23839, 825, 22105, 281, 13017, 8266, 692, 11693, 519, 2212, 540, 513, 5532, 1592, 267, 2132, 519, 6843, 1141, 519, 4783, 5956, 780, 2252, 972, 568, 1100, 4783, 267, 2132, 14275, 780, 2467, 568, 513, 4783, 538, 513, 5532, 1592, 952, 972, 568, 930, 6843, 538, 519, 1592, 602, 666, 581, 6603, 1586, 676, 11179, 1739, 519, 1985, 24072, 780, 12421, 958, 267, 1064, 568, 1031, 547, 20301, 519, 4994, 540, 519, 6843, 602, 2766, 781, 1985, 24072, 568, 4448, 547, 630, 271, 268, 8161, 539, 6393, 2005, 568, 910, 272, 952, 972, 568, 1100, 4783, 269, 8074, 602, 1064, 568, 711, 5293, 607, 513, 9936, 780, 2710, 711, 12189, 519, 5532, 1592, 563, 692, 7078, 476, 272, 1384, 257, 907, 270, 907, 270, 907, 270, 300, 1468, 270, 16318, 2275, 1844, 983, 15062, 539, 4289, 26666, 5016, 454, 19152, 281, 2212, 815, 1496, 274, 267, 273, 267, 271, 16427, 275, 3910, 1064, 815, 476, 272, 454, 20479, 281, 2766, 13462, 547, 6843, 4994, 476, 272, 454, 15008, 281, 1703, 568, 513, 4783, 538, 519, 5532, 1592, 267, 1141, 2766, 13462, 547, 519, 2034, 6843, 780, 7078, 476, 273, 1384, 257, 907, 270, 907, 270, 907, 270, 300, 1468, 270, 16318, 2275, 1844, 983, 15062, 539, 4289, 15305, 273, 26666, 5016, 19152, 281, 2212, 815, 1496, 272, 267, 273, 3910, 1064, 815, 476, 271, 454, 20479, 281, 2766, 13462, 547, 6843, 4994, 476, 271, 454, 15008, 281, 1703, 568, 513, 4783, 538, 519, 5532, 1592, 267, 1141, 2766, 13462, 547, 519, 1101, 6843, 780, 7078, 476, 274, 1384, 257, 907, 270, 907, 270, 907, 270, 300, 1468, 270, 16318, 2275, 1844, 983, 15062, 539, 4289, 15305, 274, 26666, 5016, 19152, 281, 2212, 815, 1496, 272, 3910, 1064, 815, 910, 272, 454, 20479, 281, 1100, 4783, 454, 15008, 281, 1703, 568, 1100, 4783, 538, 519, 5532, 1592, 563, 692, 3519, 14259, 6493, 1384, 763, 1297, 540, 519, 9136, 538, 519, 1592, 568, 538, 519, 2039, 1496, 271, 267, 476, 10441, 14073, 268, 10755, 10922, 19219, 22183, 10922, 476, 10755, 454, 1842, 568, 910, 272, 610, 513, 4570, 4994, 538, 519, 5532, 2000, 626, 563, 692, 10287, 909, 281, 2052, 596, 4194, 621, 1210, 744, 263, 272, 264, 630, 328, 4318, 269, 3586, 264, 3965, 2496, 454, 18257, 692, 3698, 1592, 15461, 9078, 1074, 8217, 263, 3650, 2187, 825, 585, 562, 538, 2039, 12759, 263, 3650, 4297, 11468, 18737, 272, 14158, 1038, 2212, 19559, 316, 815, 5903, 11966, 263, 3650, 19559, 7481, 1038, 952, 562, 11203, 7003, 263, 3650, 9984, 272, 912, 2018, 2212, 19559, 4940, 10113, 815, 2212, 19559, 266, 272, 6540, 825, 2132, 2212, 314, 271, 6540, 3698, 3095, 8217, 15461, 8217, 263, 3650, 2187, 825, 1427, 815, 11713, 825, 1247, 2212, 12785, 912, 1038, 1427, 6910, 263, 3650, 22183, 994, 1038, 2212, 815, 2212, 12785, 454, 825, 1427, 6910, 263, 3650, 22183, 994, 825, 2132, 1427, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 692, 5035, 8827, 24998, 2187, 825, 1219, 3713, 290, 19564, 4311, 267, 2212, 2187, 1038, 8173, 1038, 2433, 6943, 2212, 281, 5903, 11966, 454, 1038, 2433, 337, 6943, 281, 5903, 11966, 454, 1038, 8173, 1038, 952, 2212, 2652, 7183, 610, 2212, 12785, 2652, 7183, 912, 2018, 2132, 7183, 692, 1038, 3500, 815, 2212, 454, 1038, 3728, 815, 2212, 692, 1038, 1247, 3728, 543, 3728, 12785, 912, 2018, 3500, 815, 3500, 12785, 454, 2018, 3728, 815, 3728, 12785, 12785, 454, 2018, 952, 3500, 2652, 3728, 912, 3546, 2736, 692, 1038, 952, 3500, 2652, 3728, 912, 2018, 3500, 815, 2212, 454, 2018, 1247, 3500, 11203, 3728, 912, 3546, 3500, 815, 3500, 12785, 454, 3546, 3728, 815, 3728, 12785, 692, 2018, 2132, 3500, 692, 1038, 2132, 7183, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1405, 723, 547, 1569, 547, 519, 5201, 7470, 269, 2290, 23492, 6499, 547, 1769, 909, 14252, 676, 7175, 1346, 609, 3859, 8440, 547, 2671, 1648, 609, 741, 12543, 563, 15100, 476, 1001, 278, 1546, 583, 22385, 654, 16279, 11406, 299, 20235, 5469, 11406, 347, 16353, 4528, 0, 763, 2640, 540, 9140, 834, 25677, 257, 1426, 693, 16027, 781, 6990, 543, 5214, 9240, 6203, 1419, 2501, 693, 519, 13258, 540, 3160, 1569, 267, 2687, 547, 513, 1007, 1353, 693, 519, 2160, 540, 2871, 601, 874, 269, 7905, 543, 10615, 540, 519, 1488, 22641, 5253, 4659, 267, 5345, 534, 2605, 6471, 267, 543, 11001, 23765, 32095, 326, 1231, 5031, 513, 19433, 1369, 519, 834, 25677, 4189, 257, 3350, 269, 1703, 616, 1896, 4128, 602, 2061, 2539, 13867, 1004, 689, 17034, 891, 3536, 267, 8151, 689, 2362, 5777, 267, 547, 1514, 16663, 267, 547, 11585, 563, 3086, 6964, 693, 667, 15085, 1133, 15905, 267, 5449, 9049, 322, 1178, 1091, 267, 7812, 8585, 31008, 267, 543, 2142, 17433, 25303, 616, 851, 540, 519, 7887, 1788, 713, 3919, 814, 2479, 2944, 269, 667, 15085, 1133, 15905, 4516, 568, 538, 519, 1647, 540, 606, 16529, 5619, 540, 811, 982, 476, 4029, 2929, 25614, 540, 519, 3345, 933, 520, 17197, 1559, 262, 19069, 269, 634, 1788, 786, 1491, 827, 1079, 1296, 689, 1376, 547, 9096, 267, 543, 1267, 538, 513, 3810, 2143, 3059, 4786, 602, 786, 13141, 340, 576, 1344, 827, 4540, 9249, 267, 543, 1018, 2371, 1118, 909, 1346, 9249, 563, 5425, 288, 9391, 1378, 25014, 670, 664, 525, 267, 568, 3168, 585, 476, 4968, 811, 3885, 547, 851, 820, 538, 513, 1072, 1353, 6322, 547, 3313, 875, 649, 3715, 2635, 6208, 2038, 538, 1272, 269, 12160, 908, 3885, 786, 581, 4553, 585, 513, 476, 736, 1032, 1974, 547, 1413, 693, 875, 6208, 602, 941, 4646, 607, 1453, 1764, 873, 607, 4079, 269, 670, 664, 525, 568, 3168, 4481, 585, 3885, 609, 1453, 1063, 519, 2085, 540, 476, 1240, 3275, 543, 476, 277, 1296, 2025, 267, 2094, 713, 2085, 2039, 568, 2565, 585, 2870, 12115, 454, 294, 22901, 902, 689, 519, 4972, 540, 7731, 9534, 543, 11930, 12594, 256, 594, 6557, 8757, 856, 547, 2307, 585, 707, 948, 269, 3371, 538, 21598, 3198, 267, 649, 616, 2324, 2182, 547, 2087, 938, 10927, 3292, 865, 938, 1053, 666, 1205, 519, 1034, 856, 540, 741, 2069, 267, 1312, 1282, 543, 1310, 5552, 1153, 563, 10521, 3173, 689, 519, 5441, 540, 4317, 543, 11930, 5274, 7070, 630, 5425, 288, 9391, 264, 723, 1044, 3957, 23700, 540, 20380, 772, 540, 717, 1382, 17758, 563, 30267, 269, 2725, 12174, 5062, 300, 4669, 787, 267, 4972, 540, 10017, 267, 814, 1044, 5697, 547, 4309, 519, 3194, 28742, 13815, 563, 18250, 300, 4669, 787, 3081, 1200, 10700, 1382, 3804, 568, 547, 2087, 519, 1620, 540, 519, 1950, 4205, 540, 2188, 602, 1764, 1453, 779, 1928, 543, 1072, 267, 547, 2697, 519, 1655, 2853, 585, 6304, 563, 7804, 269, 27692, 26436, 568, 513, 6530, 543, 23798, 7548, 693, 519, 2160, 540, 2871, 601, 874, 543, 814, 1044, 4974, 519, 14278, 1670, 3601, 540, 12800, 27546, 593, 2634, 19326, 585, 3592, 1079, 5756, 269, 2701, 568, 519, 1699, 7022, 540, 519, 16671, 2975, 543, 568, 519, 476, 1001, 277, 18579, 540, 519, 594, 10135, 306, 17151, 8135, 19793, 22777, 13815, 563, 7804, 269, 22526, 5651, 3994, 328, 10314, 267, 513, 6530, 7548, 693, 519, 2160, 540, 2871, 601, 874, 945, 6585, 513, 4516, 3194, 17348, 538, 1126, 543, 6107, 5945, 6604, 267, 5342, 513, 1353, 609, 1200, 9164, 3168, 693, 519, 3106, 540, 1453, 1247, 789, 7669, 269, 2701, 11943, 602, 3237, 1419, 21467, 560, 1493, 741, 1126, 338, 2702, 547, 7669, 3379, 547, 519, 4879, 540, 16929, 563, 2304, 5499, 2978, 693, 519, 772, 540, 717, 568, 3246, 513, 1875, 29554, 267, 1942, 15807, 1505, 585, 24802, 7893, 4638, 6114, 563, 12867, 693, 519, 5369, 30986, 540, 20351, 2657, 630, 303, 5308, 295, 264, 2978, 616, 1210, 8143, 9196, 2029, 547, 3142, 513, 2189, 5133, 547, 2168, 4638, 3210, 543, 922, 1198, 593, 2949, 2298, 540, 1272, 563, 30267, 269, 16515, 25625, 918, 4157, 330, 517, 523, 540, 519, 4972, 540, 7731, 9534, 543, 11930, 12594, 267, 519, 8689, 540, 519, 623, 5308, 295, 2978, 267, 3081, 602, 1352, 4481, 2966, 519, 2978, 547, 4983, 2152, 4478, 519, 6482, 540, 2168, 4638, 26901, 531, 563, 2691, 649, 1589, 540, 26683, 649, 1419, 1589, 540, 4683, 2127, 267, 2705, 267, 24205, 543, 28668, 7548, 267, 9291, 744, 262, 294, 2784, 344, 267, 9060, 26683, 568, 1256, 811, 7839, 538, 6917, 543, 7187, 14411, 269, 13067, 6804, 1145, 538, 6917, 543, 7187, 2950, 568, 1447, 1471, 762, 543, 4330, 607, 834, 327, 5200, 257, 1813, 547, 7028, 543, 2533, 602, 5749, 1405, 15600, 269, 0, 24357, 27913, 723, 513, 1007, 9183, 540, 519, 7122, 781, 7269, 693, 519, 8262, 10854, 602, 949, 2491, 1946, 938, 7122, 814, 1614, 1804, 8901, 7516, 563, 10468, 583, 1258, 6801, 2458, 4575, 476, 9873, 2929, 1296, 3516, 3812, 14965, 6329, 543, 7298, 1769, 602, 941, 5063, 9571, 676, 2616, 14898, 1472, 519, 1158, 563, 12867, 723, 22942, 539, 513, 834, 8243, 3183, 7784, 257, 3297, 519, 7613, 540, 519, 3141, 781, 5790, 1373, 5215, 540, 5232, 28555, 982, 519, 3859, 2627, 563, 7093, 16227, 32373, 539, 2339, 729, 1336, 538, 519, 1106, 540, 3154, 2083, 14613, 1063, 15270, 267, 799, 568, 513, 2101, 1900, 4724, 7713, 519, 2497, 540, 519, 26355, 563, 10574, 689, 519, 4414, 14136, 2982, 602, 2175, 538, 519, 661, 5090, 16492, 16935, 540, 9370, 2899, 11696, 1194, 1346, 593, 3047, 950, 1272, 1101, 7153, 17542, 540, 1296, 3516, 563, 2304, 19849, 14536, 585, 519, 2475, 693, 519, 856, 3553, 540, 519, 2230, 5198, 5555, 5795, 1259, 547, 513, 1974, 540, 3621, 23372, 609, 8168, 3173, 563, 288, 1614, 17574, 3060, 540, 14965, 2914, 1511, 22572, 593, 1114, 17407, 2982, 1761, 585, 1565, 811, 827, 18160, 781, 678, 31454, 538, 2230, 6066, 563, 14722, 723, 32424, 602, 17184, 12345, 1522, 22132, 538, 519, 27305, 10158, 267, 855, 513, 18797, 1296, 540, 22423, 1239, 2798, 547, 3063, 6549, 12519, 8129, 563, 288, 1007, 7447, 540, 938, 4541, 781, 3114, 5888, 786, 948, 3744, 1174, 875, 519, 3047, 4646, 476, 275, 269, 277, 5479, 1296, 3516, 563, 31466, 668, 564, 11136, 924, 15455, 11251, 538, 519, 30917, 1223, 948, 2491, 2621, 602, 3576, 1747, 607, 1082, 607, 476, 7176, 2929, 1296, 3516, 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 ]
[ 5933, 865, 602, 519, 13596, 543, 6757, 3334, 1459, 538, 1426, 616, 10032, 543, 632, 716, 17300, 1818, 519, 1426, 10930, 543, 31978, 545, 269, 898, 568, 519, 12588, 540, 519, 1426, 4393, 5823, 547, 1020, 3209, 1426, 4393, 543, 11091, 4066, 547, 5478, 543, 8190, 1426, 538, 606, 2500, 6073, 609, 513, 2070, 547, 3986, 741, 15808, 1272, 267, 2087, 2298, 607, 1134, 607, 1118, 873, 1599, 958, 811, 3730, 269, 2467, 568, 513, 1804, 3395, 3747, 585, 3209, 1426, 2472, 799, 711, 1152, 1683, 1072, 1299, 6484, 2640, 543, 13418, 547, 519, 6800, 855, 849, 2709, 10373, 2804, 9153, 547, 519, 1426, 4393, 2872, 543, 519, 6705, 269, 901, 1576, 968, 5591, 767, 16370, 585, 5253, 14409, 543, 17125, 325, 5020, 22362, 9232, 9388, 827, 519, 2487, 543, 6932, 4702, 543, 6639, 10124, 585, 3209, 543, 13418, 1426, 2472, 5663, 543, 15808, 1272, 10137, 269, 901, 1576, 786, 1404, 513, 11358, 1909, 538, 13197, 1382, 1299, 1646, 543, 786, 5512, 2856, 5108, 585, 519, 5010, 5478, 540, 971, 2472, 799, 6038, 1291, 938, 2197, 547, 606, 3486, 3760, 269, 19860, 21715, 3633, 589, 11070, 296, 9970, 281, 15933, 14409, 543, 7177, 267, 5253, 3163, 543, 5303, 267, 16581, 7177, 267, 4437, 12950, 7177, 267, 11906, 7177, 267, 543, 1644, 10459, 11266, 16730, 12702, 3041, 3951, 2464, 281, 715, 6579, 18853, 19851, 23802, 24639, 13048, 18306, 281, 15933, 6080, 971, 607, 2826, 2335, 807, 24322, 13456, 267, 29321, 548, 267, 9699, 16330, 1133, 850, 591, 13456, 267, 623, 10134, 328, 10870, 267, 674, 761, 334, 299, 599, 267, 4937, 24759, 267, 3794, 1314, 334, 267, 8668, 290, 267, 808, 889, 559, 656, 3536, 267, 595, 10087, 2051, 320, 267, 3223, 1203, 518, 3397, 549, 267, 3057, 4815, 595, 1173, 650, 267, 3092, 563, 25582, 476, 272, 281, 4985, 547, 1426, 4393, 267, 11091, 543, 2298, 282, 9978, 3741, 1299, 2409, 267, 1216, 2534, 5288, 269, 1426, 6617, 267, 2497, 1922, 4233, 2078, 269, 25582, 476, 273, 281, 11906, 2242, 538, 1426, 1282, 4393, 282, 645, 20621, 6547, 630, 523, 9195, 1738, 543, 1875, 10276, 9195, 1738, 1070, 3940, 4205, 267, 19346, 4205, 269, 25582, 476, 274, 281, 4400, 2604, 4393, 543, 6490, 1962, 2033, 4066, 538, 1426, 4393, 269, 25582, 476, 275, 281, 5253, 23735, 2747, 267, 16674, 1299, 17196, 8022, 282, 8111, 2565, 5714, 10868, 269, 25582, 476, 276, 281, 5253, 16312, 4288, 2029, 267, 681, 15288, 15165, 3536, 267, 7956, 3293, 10448, 3940, 267, 19676, 543, 546, 531, 12746, 1132, 269, 25582, 476, 277, 281, 670, 6324, 548, 2029, 1523, 267, 7849, 17059, 15412, 10118, 1299, 3566, 328, 665, 514, 282, 5131, 2763, 15018, 269, 25582, 476, 278, 281, 2552, 9776, 5790, 4859, 540, 1426, 9274, 282, 17645, 267, 17196, 2126, 585, 771, 8882, 652, 566, 540, 9274, 282, 24544, 540, 27253, 720, 538, 9274, 269, 25582, 476, 279, 281, 3525, 1881, 5790, 11183, 267, 15765, 11183, 267, 543, 3798, 1043, 15098, 540, 5613, 1299, 5388, 269, 25582, 476, 280, 281, 6987, 3555, 543, 4393, 540, 3282, 282, 20996, 1163, 25527, 267, 19857, 10868, 267, 17975, 267, 7250, 566, 267, 5162, 1436, 269, 25582, 476, 1015, 281, 17125, 325, 1272, 10137, 540, 11041, 1210, 2067, 14434, 282, 10417, 543, 6482, 540, 678, 4545, 7190, 269, 25582, 476, 1556, 281, 5843, 16780, 2355, 1637, 540, 6915, 5562, 267, 543, 5303, 540, 3282, 8869, 269, 25582, 476, 1321, 281, 293, 23341, 3536, 543, 25326, 15869, 11472, 338, 267, 27973, 3562, 3887, 520, 9354, 1426, 267, 25050, 22021, 25167, 1164, 1648, 3046, 267, 15347, 1863, 3694, 267, 3327, 730, 23611, 20892, 563, 30267, 269, 670, 926, 715, 12685, 553, 631, 880, 571, 454, 9359, 707, 2689, 540, 23397, 16370, 585, 5253, 14409, 543, 17125, 325, 21509, 22362, 0, 2252, 3843, 547, 1265, 6478, 9612, 15026, 6103, 476, 274, 267, 596, 616, 4947, 693, 519, 1318, 1747, 269, 476, 1911, 271, 266, 1863, 7792, 2262, 19707, 616, 2139, 1934, 269, 8281, 6478, 9612, 15026, 6103, 476, 274, 1934, 585, 1863, 563, 19119, 540, 6478, 9612, 15026, 6103, 476, 274, 454, 6624, 3872, 3756, 689, 519, 15026, 8866, 10632, 8760, 616, 6478, 9612, 15026, 6103, 476, 274, 269, 589, 2262, 3406, 267, 2262, 6968, 267, 2262, 11015, 610, 1883, 2262, 3605, 568, 2965, 513, 2262, 3014, 16030, 519, 1913, 540, 707, 6074, 2262, 11231, 538, 519, 13483, 267, 3622, 1210, 513, 5835, 610, 26070, 11954, 2681, 269, 634, 3483, 540, 713, 3014, 568, 547, 3605, 543, 3758, 782, 540, 519, 1913, 10703, 4705, 538, 519, 14328, 10189, 269, 1879, 891, 2262, 13410, 949, 3100, 2241, 267, 789, 616, 5393, 2442, 8015, 9251, 6040, 3214, 267, 1247, 789, 2285, 513, 11295, 1259, 540, 1565, 519, 2296, 1893, 1893, 269, 26597, 7792, 3214, 3756, 8984, 513, 17609, 540, 1893, 1913, 543, 2453, 1927, 609, 513, 17609, 540, 2442, 13450, 563, 6124, 12232, 6478, 9612, 15026, 6103, 476, 274, 454, 3080, 540, 519, 1034, 1134, 2000, 27419, 7792, 3756, 602, 7028, 538, 519, 1646, 540, 6863, 786, 581, 519, 6863, 3406, 269, 901, 3014, 2982, 513, 2875, 875, 547, 2697, 543, 4766, 3875, 2453, 543, 3688, 3330, 519, 3703, 1913, 269, 6145, 1169, 1390, 3872, 2228, 3014, 267, 519, 3804, 568, 602, 596, 1058, 20559, 543, 1867, 513, 1978, 1895, 540, 3877, 267, 2356, 4098, 689, 513, 3551, 2165, 899, 968, 763, 3032, 779, 689, 519, 11058, 2223, 543, 2469, 2417, 811, 2394, 596, 1205, 519, 4941, 9623, 269, 1452, 3756, 949, 849, 1331, 2385, 4185, 267, 2333, 19722, 9634, 543, 20387, 23049, 865, 596, 666, 1454, 1732, 581, 3222, 540, 519, 18006, 563, 2171, 4126, 596, 1265, 1018, 596, 616, 3168, 585, 1934, 269, 11289, 596, 585, 23842, 6478, 9612, 15026, 6103, 476, 274, 269, 0, 4322, 616, 1100, 8723, 30158, 563, 5445, 616, 13324, 676, 5201, 267, 2469, 16057, 476, 736, 18890, 593, 10754, 543, 2427, 19789, 802, 267, 1419, 1472, 6808, 1107, 543, 693, 2053, 789, 616, 13324, 676, 12322, 609, 2370, 610, 1100, 1702, 540, 519, 3652, 540, 519, 4155, 563, 288, 10006, 538, 552, 1532, 833, 10913, 543, 7063, 538, 519, 2250, 1032, 814, 19430, 1858, 10506, 267, 7128, 8041, 543, 2749, 31508, 547, 14132, 909, 2146, 23793, 547, 13599, 26348, 827, 519, 12178, 540, 519, 3728, 2173, 8221, 21891, 602, 723, 1147, 3022, 538, 8560, 563, 763, 21891, 267, 799, 2285, 513, 2736, 593, 7895, 323, 1782, 585, 26348, 267, 723, 5280, 2333, 1004, 779, 2702, 547, 1205, 1472, 267, 2523, 1346, 609, 10688, 2152, 267, 11655, 2161, 269, 4658, 666, 2951, 3152, 9883, 609, 1447, 11851, 542, 563, 25821, 11332, 849, 948, 1832, 1004, 856, 540, 6517, 267, 607, 606, 4244, 7154, 540, 6283, 543, 513, 2736, 585, 519, 1604, 267, 2523, 6225, 2059, 519, 5032, 267, 930, 2161, 267, 1282, 11112, 15805, 3275, 563, 3719, 3106, 15416, 543, 1416, 585, 519, 10898, 540, 519, 4155, 616, 1271, 585, 602, 2318, 1995, 267, 8387, 1767, 563, 14881, 917, 649, 2661, 538, 971, 513, 11112, 1158, 267, 621, 779, 865, 10375, 585, 938, 14038, 547, 5577, 593, 741, 552, 1532, 833, 547, 979, 547, 2259, 610, 513, 3659, 779, 2777, 2223, 21060, 6019, 15593, 858, 779, 4972, 17318, 12751, 585, 20698, 10044, 715, 580, 3241, 5164, 326, 559, 1306, 15635, 542, 1767, 269, 1261, 568, 835, 540, 519, 10492, 945, 814, 538, 2487, 3275, 814, 8214, 1194, 519, 3390, 676, 8066, 15473, 543, 4687, 1344, 609, 824, 8041, 269, 634, 8257, 814, 849, 1044, 8380, 856, 1857, 3028, 7044, 543, 14773, 906, 593, 1514, 2923, 563, 2108, 12988, 538, 938, 1554, 267, 649, 887, 1372, 938, 21891, 538, 519, 8378, 543, 649, 941, 15528, 2223, 646, 1767, 269, 968, 3719, 621, 779, 513, 2898, 1114, 1158, 1631, 3034, 3080, 3017, 568, 519, 1826, 540, 7063, 602, 666, 4755, 1247, 593, 519, 3167, 21891, 267, 799, 616, 1419, 811, 5812, 609, 27576, 7063, 982, 2757, 21891, 267, 1767, 3220, 269, 570, 1115, 340, 5984, 6875, 1276, 328, 267, 3038, 2064, 17030, 11233, 779, 8194, 2564, 8689, 563, 1103, 3339, 17919, 10913, 267, 519, 1034, 1455, 2186, 540, 7063, 616, 7745, 7633, 267, 4481, 7916, 543, 17525, 269, 2334, 779, 1869, 519, 2013, 609, 552, 1532, 10105, 267, 609, 476, 2568, 260, 540, 519, 1004, 5275, 1416, 24569, 513, 7745, 5642, 563, 2108, 3719, 1018, 2306, 621, 513, 2370, 1114, 267, 1018, 649, 1294, 267, 568, 811, 2212, 7063, 543, 4835, 8219, 899, 6797, 543, 838, 22220, 3441, 1813, 547, 811, 1764, 267, 2362, 3432, 1282, 10913, 610, 3668, 540, 1852, 2223, 6875, 1276, 328, 1767, 563, 2005, 729, 538, 476, 1708, 271, 950, 519, 6413, 3323, 7487, 513, 968, 560, 520, 12264, 1713, 892, 4473, 538, 552, 1532, 833, 10913, 267, 20872, 16984, 547, 1376, 5329, 28135, 593, 7063, 269, 3509, 2053, 267, 519, 13676, 616, 9286, 607, 968, 10177, 6373, 2550, 2223, 10834, 513, 1761, 1272, 18446, 2013, 602, 2838, 14849, 2564, 4879, 563, 1103, 329, 3753, 4797, 547, 18214, 538, 476, 1708, 272, 267, 543, 723, 2943, 547, 3500, 1524, 267, 6875, 1276, 328, 1767, 563, 4517, 609, 8285, 1175, 8429, 543, 1082, 1004, 1107, 3214, 543, 4079, 1107, 3478, 3167, 21891, 267, 646, 779, 24584, 811, 1004, 4947, 883, 519, 6413, 609, 7063, 563, 24685, 476, 1708, 273, 267, 649, 1810, 1406, 1294, 1022, 23646, 1524, 593, 519, 8194, 2427, 540, 621, 2223, 6875, 1276, 328, 1767, 563, 12648, 1276, 328, 1767, 9905, 2429, 21060, 6019, 543, 11968, 13353, 10506, 723, 21350, 5367, 2147, 4145, 1282, 11401, 602, 1445, 593, 8194, 3466, 563, 6097, 547, 17030, 11233, 7194, 267, 972, 941, 3670, 12963, 552, 1532, 833, 7063, 538, 476, 1708, 271, 269, 769, 476, 1708, 272, 267, 28135, 585, 519, 1101, 476, 1015, 3275, 998, 5239, 267, 1293, 476, 4343, 563, 3849, 738, 7063, 941, 711, 27424, 538, 476, 1708, 271, 267, 855, 538, 476, 1708, 272, 972, 941, 476, 8287, 8194, 7063, 676, 5239, 269, 1703, 941, 849, 1079, 7972, 538, 2487, 3275, 267, 1312, 4079, 267, 835, 9849, 513, 24743, 543, 1776, 1510, 563, 763, 3668, 540, 24743, 9849, 568, 849, 513, 7678, 2938, 538, 519, 6413, 267, 6875, 1276, 328, 1767, 563, 18658, 649, 1294, 538, 519, 8194, 2665, 602, 2097, 547, 721, 267, 476, 2412, 260, 540, 3214, 10093, 1406, 1044, 9849, 31238, 2223, 646, 1767, 267, 15663, 519, 1876, 3081, 4896, 7820, 982, 476, 1240, 2115, 547, 5957, 513, 24743, 269, 634, 28135, 585, 2937, 24743, 9849, 568, 2147, 267, 693, 827, 476, 2412, 260, 547, 476, 2004, 260, 540, 519, 942, 1107, 543, 1247, 711, 2838, 267, 621, 1058, 581, 267, 6875, 1276, 328, 1767, 563, 4407, 646, 8910, 899, 547, 1294, 1732, 11268, 540, 24743, 4031, 267, 1454, 540, 621, 2501, 1394, 547, 519, 3237, 547, 798, 741, 851, 267, 646, 1767, 563, 14881, 1589, 3237, 723, 513, 2101, 1909, 267, 513, 1360, 2462, 1909, 538, 18997, 3214, 543, 1818, 873, 5957, 519, 24743, 2223, 6875, 1276, 328, 1767, 269, 968, 6546, 568, 1152, 2009, 952, 3237, 2933, 5957, 513, 24743, 269, 898, 779, 2182, 547, 3196, 3214, 547, 798, 1945, 596, 1810, 1406, 798, 3054, 3034, 300, 2153, 11233, 814, 1044, 3257, 3872, 23793, 593, 14964, 3106, 267, 1519, 2319, 532, 609, 2199, 1876, 11268, 543, 3257, 10865, 24743, 2285, 25498, 1572, 968, 24591, 519, 11020, 892, 547, 26348, 7820, 982, 476, 1704, 267, 609, 7366, 19942, 856, 538, 5437, 543, 811, 9709, 538, 4947, 3275, 563, 1432, 2306, 552, 1532, 10105, 1114, 568, 519, 1565, 7455, 267, 8387, 1767, 269, 15380, 267, 950, 513, 4819, 4991, 513, 11332, 789, 1376, 1055, 3500, 543, 1451, 519, 3652, 607, 789, 1451, 547, 979, 5488, 267, 11543, 1995, 607, 741, 5578, 1377, 8441, 563, 10527, 811, 4810, 596, 1831, 267, 519, 5488, 596, 2461, 2111, 547, 979, 2223, 6875, 1276, 328, 1767, 269, 968, 2791, 2461, 513, 811, 4810, 31115, 267, 607, 10353, 547, 513, 1268, 945, 666, 11878, 606, 552, 1532, 833, 543, 538, 519, 1101, 2947, 3764, 666, 979, 476, 736, 18890, 269, 2311, 602, 3432, 267, 596, 991, 1995, 540, 875, 547, 1852, 621, 3034, 21430, 2386, 513, 11332, 568, 519, 1318, 2450, 585, 519, 31115, 568, 849, 606, 1271, 3815, 267, 646, 1767, 269, 589, 11332, 602, 779, 1932, 2462, 949, 581, 2182, 547, 1852, 269, 28552, 538, 606, 8900, 18736, 2603, 610, 7583, 11546, 1606, 659, 568, 5227, 543, 1247, 23960, 3884, 1406, 606, 3390, 267, 16069, 666, 1491, 942, 547, 1451, 563, 2419 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1445, 938, 3007, 593, 513, 1448, 267, 1843, 610, 2680, 267, 543, 1287, 6467, 938, 3007, 547, 1776, 1843, 267, 1843, 267, 2680, 610, 824, 2990, 563, 2690, 1383, 267, 952, 649, 1445, 593, 513, 3001, 1843, 543, 6467, 938, 4064, 689, 602, 1843, 547, 1776, 2990, 267, 519, 1198, 568, 547, 1847, 938, 4064, 267, 543, 938, 1445, 2242, 563, 26877, 16272, 676, 5163, 616, 849, 2813, 950, 938, 3007, 568, 6537, 547, 513, 1808, 1448, 593, 519, 5496, 543, 1287, 938, 4064, 616, 6537, 547, 519, 1482, 1448, 1586, 267, 519, 4064, 3001, 2509, 519, 1482, 1747, 563, 2252, 519, 3750, 568, 6537, 1394, 547, 513, 1978, 1448, 267, 621, 786, 1413, 538, 602, 4287, 543, 6467, 547, 602, 4287, 1586, 563, 1607, 1198, 568, 519, 1482, 607, 950, 649, 6521, 938, 3007, 689, 513, 1880, 1448, 547, 513, 1114, 835, 563, 4913, 267, 519, 3017, 568, 602, 950, 649, 6467, 689, 513, 2582, 1448, 547, 1776, 267, 649, 616, 1100, 3476, 2519, 938, 3007, 2509, 602, 1880, 1448, 563, 4322, 1614, 2192, 16272, 666, 581, 5916, 883, 835, 21903, 267, 538, 799, 519, 1843, 568, 6410, 538, 1022, 540, 519, 1614, 2081, 13890, 1657, 563, 3719, 1018, 4523, 952, 649, 1152, 1445, 593, 519, 21903, 1141, 519, 1843, 610, 1843, 2173, 8221, 568, 3361, 888, 2252, 649, 1152, 946, 519, 21903, 950, 519, 20626, 568, 1445, 338, 539, 593, 519, 1641, 267, 519, 3239, 540, 5163, 786, 2611, 519, 1482, 267, 1317, 519, 1445, 540, 519, 3750, 3788, 593, 519, 1482, 1843, 563, 13010, 267, 950, 519, 4064, 616, 23564, 689, 519, 1641, 547, 1776, 1448, 267, 519, 1445, 786, 6521, 547, 519, 1843, 563, 1607, 666, 1711, 606, 21903, 540, 3001, 3615, 267, 607, 519, 4064, 1445, 593, 835, 4087, 267, 1287, 6467, 547, 1776, 4087, 267, 543, 1445, 593, 1776, 4087, 563, 2690, 519, 21903, 649, 786, 581, 2519, 593, 267, 649, 666, 946, 519, 5163, 21903, 267, 1141, 519, 1445, 568, 593, 513, 1808, 5544, 593, 519, 3239, 602, 568, 513, 3001, 851, 563, 1607, 2636, 721, 547, 946, 938, 4064, 547, 1847, 519, 1641, 540, 938, 4064, 563, 3383, 1018, 1281, 713, 782, 1611, 888, 11039, 267, 519, 1292, 3017, 1063, 0, 18814, 547, 2518, 5314, 267, 1004, 779, 6197, 568, 3478, 1689, 3533, 538, 519, 3728, 3395, 1158, 269, 898, 779, 2141, 538, 7521, 602, 1007, 3255, 538, 1169, 5823, 1291, 513, 1268, 547, 12189, 741, 1272, 2687, 547, 741, 4170, 269, 2368, 1004, 1566, 710, 602, 621, 1185, 513, 2101, 1764, 593, 513, 2123, 1272, 543, 594, 849, 3858, 609, 713, 21169, 563, 3086, 2395, 267, 621, 568, 2938, 602, 2029, 3587, 606, 17149, 851, 540, 938, 3232, 1272, 269, 23883, 267, 5769, 269, 4658, 723, 1566, 1441, 827, 1510, 1210, 713, 1034, 4434, 3364, 689, 2029, 789, 666, 2661, 1272, 693, 519, 2407, 652, 269, 3502, 782, 540, 873, 616, 3858, 532, 547, 713, 3948, 269, 769, 1250, 6644, 267, 4470, 593, 519, 2085, 2039, 4950, 666, 581, 13766, 547, 2661, 1272, 693, 519, 6316, 563, 1103, 519, 2250, 1906, 5756, 267, 6197, 814, 14831, 3585, 4957, 1317, 540, 6639, 7760, 269, 5769, 267, 899, 1082, 824, 1271, 7622, 1919, 267, 814, 1831, 606, 1898, 1587, 538, 1169, 1753, 269, 1717, 267, 930, 1004, 8044, 602, 4950, 991, 711, 2291, 538, 938, 2729, 547, 2661, 513, 3483, 995, 1272, 269, 594, 4625, 3858, 609, 713, 3948, 269, 901, 1557, 786, 1865, 1946, 4950, 568, 711, 513, 13766, 547, 1291, 513, 6209, 1272, 563, 2005, 568, 1419, 11130, 676, 513, 1507, 1895, 540, 1004, 602, 621, 568, 711, 2838, 547, 723, 934, 525, 2225, 547, 4950, 547, 2661, 513, 2347, 1272, 269, 769, 1250, 6644, 267, 594, 11207, 3858, 609, 713, 543, 3494, 602, 2228, 3060, 568, 711, 2877, 547, 581, 6126, 538, 1272, 563, 763, 4950, 814, 4957, 519, 1259, 540, 2713, 540, 1082, 1004, 267, 1869, 972, 568, 606, 4661, 602, 1272, 666, 581, 5030, 547, 922, 1034, 1510, 519, 948, 540, 713, 2029, 269, 769, 1250, 6644, 267, 835, 666, 2661, 1272, 585, 519, 19160, 540, 2713, 855, 267, 3112, 3914, 922, 7182, 1510, 519, 946, 540, 519, 4950, 269, 3163, 781, 1034, 3730, 8798, 814, 6766, 1480, 781, 1272, 30140, 543, 621, 666, 711, 581, 17792, 563, 2005, 568, 3622, 5156, 676, 12908, 12278, 338, 602, 267, 519, 1272, 538, 519, 2250, 729, 1454, 1732, 982, 519, 1459, 4207, 5736, 269, 769, 1250, 6644, 267, 594, 16119, 3858, 609, 519, 2016, 3948, 267, 607, 519, 4505, 1004, 1031, 547, 2972, 519, 2470, 543, 972, 729, 1100, 6808, 20316, 269, 3958, 267, 1004, 2972, 741, 942, 609, 519, 2828, 543, 1920, 2864, 982, 23578, 2509, 519, 5907, 19269, 269, 769, 713, 1557, 267, 594, 786, 1489, 543, 786, 14969, 1250, 2070, 609, 4143, 1806, 563, 2005, 568, 1767, 602, 1004, 1058, 960, 585, 835, 2754, 585, 2898, 1272, 15029, 1866, 3494, 602, 789, 1058, 1689, 741, 2816, 4749, 547, 960, 538, 1114, 3549, 269, 594, 1589, 1312, 4485, 723, 2640, 543, 19363, 267, 543, 594, 786, 7291, 538, 713, 1557, 563, 2005, 568, 1767, 602, 1004, 1058, 960, 585, 835, 2754, 585, 2898, 1272, 15029, 1866, 3494, 602, 789, 1058, 1689, 741, 2816, 4749, 547, 960, 609, 1114, 3549, 269, 594, 1589, 1312, 4485, 723, 2640, 543, 19363, 267, 543, 594, 786, 7291, 538, 713, 1557, 563, 11514, 743, 3151, 519, 2123, 1344, 3842, 2923, 899, 8613, 543, 4950, 568, 3181, 23534, 269, 2368, 1004, 3494, 602, 519, 2923, 814, 10479, 547, 798, 865, 267, 855, 1866, 1131, 899, 547, 2834, 1125, 543, 20818, 7182, 593, 3377, 7426, 269, 901, 1557, 11828, 1312, 7440, 563, 3086, 12997, 267, 1004, 945, 2661, 538, 2462, 4872, 723, 547, 3068, 513, 1804, 1297, 540, 2042, 269, 5565, 540, 519, 2101, 2152, 616, 9090, 519, 5533, 543, 519, 3354, 563, 3086, 12997, 267, 811, 543, 811, 1004, 616, 4955, 7992, 547, 519, 2462, 4872, 547, 2661, 269, 6736, 2348, 1646, 3255, 267, 1004, 723, 547, 4308, 609, 1082, 2152, 538, 741, 3232, 1272, 269, 901, 1557, 786, 1865, 519, 2042, 543, 3914, 3435, 547, 10994, 873, 563, 2005, 568, 7157, 1767, 602, 5904, 666, 1118, 5904, 1169, 1367, 781, 1272, 811, 4443, 543, 1447, 17173, 269, 1809, 930, 1004, 3494, 602, 5904, 1118, 519, 1268, 781, 1272, 811, 7294, 269, 594, 9244, 3858, 602, 609, 519, 1045, 3290, 540, 5904, 666, 1118, 1272, 811, 1732, 543, 811, 2653, 269, 901, 552, 29983, 786, 1865, 827, 875, 5904, 1118, 1004, 781, 1272, 811, 4443, 543, 10375, 563, 1103, 2487, 1296, 267, 4434, 2029, 814, 7494, 2799, 269, 3509, 2043, 2671, 519, 2070, 602, 5904, 814, 4824, 519, 2298, 540, 1272, 1247, 1866, 616, 540, 519, 6644, 602, 789, 723, 1500, 1272, 811, 2352, 269, 594, 993, 540, 519, 6644, 602, 789, 723, 4824, 1272, 7907, 5631, 1317, 713, 2029, 814, 4389, 960, 4452, 538, 1114, 960, 9922, 267, 607, 1134, 607, 267, 4824, 4974, 1851, 1053, 563, 2171, 2661, 538, 2486, 3810, 6639, 1141, 5904, 723, 1831, 3844, 538, 519, 3232, 6296, 540, 3592, 16764, 269, 4014, 267, 930, 1004, 1589, 602, 5904, 723, 7707, 2989, 938, 19824, 267, 2810, 519, 1377, 540, 4160, 269, 769, 1022, 2013, 267, 594, 9244, 3494, 602, 31940, 543, 24195, 723, 1500, 938, 2729, 12863, 543, 2949, 811, 17159, 3379, 547, 519, 2250, 563, 3086, 12997, 267, 5904, 1689, 1022, 2460, 540, 938, 1272, 9797, 269, 12207, 3494, 602, 649, 723, 547, 2012, 713, 5108, 267, 519, 5108, 540, 2029, 4838, 269, 1635, 519, 1259, 267, 930, 1004, 8044, 602, 9608, 23675, 1764, 593, 938, 6197, 11874, 543, 1118, 621, 811, 6946, 267, 1717, 1866, 6700, 602, 7913, 20905, 948, 721, 547, 798, 4948, 13467, 10375, 569, 269, 594, 9244, 3858, 609, 519, 3948, 602, 1210, 5904, 948, 721, 547, 798, 938, 4305, 811, 3362, 799, 1775, 993, 2469, 547, 2232, 538, 1739, 9433, 563, 20007, 1670, 13120, 814, 3144, 6197, 547, 519, 1985, 1377, 267, 607, 621, 2501, 538, 13561, 547, 1685, 930, 540, 519, 3232, 4247, 538, 513, 31484, 548, 6954, 6073, 269, 24641, 267, 1866, 12167, 602, 971, 7835, 723, 4547, 513, 2942, 1764, 676, 2870, 811, 2566, 593, 1480, 1272, 269, 713, 1557, 786, 2491, 930, 2640, 25189, 998, 971, 9283, 543, 594, 993, 13948, 538, 12797, 540, 519, 8545, 2070, 563, 3086, 12997, 9235, 543, 21409, 616, 1630, 4040, 782, 1472, 519, 8608, 269, 3509, 1004, 12167, 602, 547, 1205, 3946, 6823, 519, 5389, 540, 519, 9683, 2197, 835, 1058, 31831, 547, 3251, 538, 513, 15678, 269, 594, 1566, 710, 519, 1482, 543, 713, 1557, 786, 5031, 519, 2188, 538, 1469, 563, 2005, 568, 513, 1249, 602, 1247, 930, 1004, 899, 519, 12560, 1272, 540, 513, 24781, 267, 1866, 1131, 2864, 1904, 585, 519, 3728, 533, 3166, 267, 6197, 1336, 538, 4872, 269, 594, 3494, 267, 991, 1652, 547, 2161, 267, 1312, 3681, 723, 26350, 543, 632, 1067, 1080, 267, 2523, 538, 2474, 540, 6197, 543, 9297, 3255, 563, 21158, 814, 1044, 513, 6325, 2707, 540, 1344, 543, 1702, 269, 3509, 1004, 3494, 602, 14786, 543, 8613, 9055, 616, 18363, 721, 538, 513, 2318, 1259, 267, 3602, 553, 267, 824, 1004, 22672, 517, 602, 568, 24895, 269, 594, 9244, 3858, 609, 713, 7613, 543, 538, 519, 1671, 5224, 9433, 594, 786, 782, 8775, 547, 891, 7440, 2417, 269, 0, 14197, 19958, 5839, 541, 11037, 454, 2690, 519, 4892, 286, 3371, 616, 476, 274, 585, 519, 7819, 2427, 5518, 32457, 19958, 5839, 6635, 11037, 6723, 21244, 22255, 1304, 29962, 667, 944, 8077, 454, 288, 281, 4937, 5062, 6635, 11037, 267, 593, 519, 27469, 2427, 563, 515, 729, 593, 519, 21099, 338, 2427, 454, 2467, 616, 1082, 855, 513, 1906, 689, 519, 772, 2529, 269, 17121, 941, 667, 342, 697, 29276, 327, 1077, 267, 19958, 5839, 6635, 11037, 267, 543, 6723, 4793, 2023, 454, 3891, 729, 593, 519, 3162, 2427, 563, 18183, 539, 4733, 4937, 589, 2529, 269, 3627, 8725, 454, 1103, 2489, 267, 593, 519, 1318, 11804, 2427, 540, 519, 27379, 563, 18933, 15909, 729, 9243, 1282, 1312, 2622, 12668, 563, 4002, 519, 24027, 2427, 563, 763, 824, 2427, 563, 517, 519, 24027, 2427, 454, 18933, 15909, 1705, 711, 4339, 593, 1022, 2427, 538, 1282, 1312, 1158, 10617, 621, 8359, 547, 3251, 9243, 563, 14197, 19958, 5839, 6635, 11037, 630, 6642, 271, 268, 3422, 275, 1070, 945, 7608, 519, 5545, 21704, 693, 519, 1439, 540, 2622, 2782, 4083, 267, 729, 6569, 689, 519, 4971, 540, 6167, 543, 2475, 4229, 538, 9705, 593, 4989, 476, 1556, 267, 476, 4198, 272, 269, 5518, 16452, 32457, 1185, 804, 14414, 609, 5839, 6635, 11037, 936, 519, 1697, 3210, 547, 519, 7127, 540, 3624, 883, 519, 11114, 2782, 593, 519, 3345, 11114, 2427, 269, 32457, 8179, 513, 24044, 1922, 790, 547, 771, 1263, 720, 2475, 543, 4457, 4229, 267, 7255, 602, 519, 8168, 5742, 1522, 1489, 519, 4457, 609, 6046, 9604, 269, 1879, 5839, 6635, 11037, 2366, 513, 4484, 10990, 532, 609, 713, 3609, 267, 543, 9783, 606, 3706, 574, 23628, 547, 519, 4457, 3079, 267, 32457, 17212, 1386, 5839, 6635, 11037, 540, 1010, 4971, 269, 1323, 6186, 626, 823, 729, 6368, 9896, 1079, 1296, 2663, 563, 7628, 2622, 2782, 4083, 267, 1896, 1977, 4108, 2367, 4371, 19524, 7158, 538, 519, 7489, 630, 528, 7414, 264, 26308, 540, 15051, 269, 31288, 4258, 3122, 715, 574, 6308, 729, 2949, 19524, 538, 519, 7414, 7909, 3148, 267, 1247, 4937, 19958, 5839, 6635, 11037, 729, 2949, 19524, 538, 519, 25763, 7414, 3148, 269, 16952, 20466, 4971, 619, 941, 8655, 547, 971, 2427, 7308, 11596, 607, 8738, 2742, 543, 3624, 563, 763, 808, 777, 523, 3150, 941, 593, 519, 5545, 2427, 538, 13431, 273, 454, 5445, 941, 593, 938, 2427, 1282, 2622, 2782, 476, 273, 563, 9928, 582, 1633, 729, 851, 540, 519, 20466, 25024, 1282, 2622, 2782, 476, 273, 1547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1357, 1349, 269 ]
[ 1, 1, 1, 1 ]
[ 6103, 476, 276, 5131, 7982, 1677, 3427, 6096, 1280, 5822, 6103, 3337, 3211, 585, 20854, 9904, 4976, 585, 3214, 2681, 2699, 3211, 585, 20854, 9251, 2534, 9212, 22525, 1565, 25258, 1863, 3211, 585, 3214, 3211, 585, 269, 901, 568, 606, 3573, 4015, 540, 1863, 9251, 3211, 2966, 585, 6502, 5111, 476, 274, 1299, 476, 275, 1296, 2025, 269, 1452, 1863, 7792, 9251, 3211, 616, 2966, 547, 948, 3214, 1451, 547, 2328, 519, 9904, 267, 2338, 267, 7132, 513, 1863, 7792, 2681, 12805, 6656, 256, 634, 19920, 666, 2972, 9251, 3211, 2085, 476, 273, 267, 4569, 6096, 267, 22843, 6096, 267, 16974, 6096, 543, 14301, 6096, 269, 1358, 1223, 1404, 3756, 538, 519, 12502, 2044, 899, 10606, 26969, 10632, 543, 22843, 10658, 26072, 543, 9251, 3211, 2085, 476, 273, 2529, 1276, 513, 2603, 540, 1187, 789, 1223, 723, 543, 2285, 1776, 3214, 563, 15430, 1041, 10259, 3211, 269, 26538, 6657, 6096, 585, 18014, 28826, 269, 8281, 26538, 6657, 32274, 3211, 543, 25258, 8866, 3872, 9251, 267, 9656, 543, 3446, 1153, 585, 3214, 269, 18014, 26538, 15099, 25627, 269, 769, 9251, 267, 10259, 1913, 1376, 609, 2596, 1079, 268, 12072, 1913, 269, 1280, 1383, 267, 513, 1434, 4358, 1448, 585, 23021, 1131, 581, 281, 11083, 267, 19294, 267, 18688, 267, 543, 8668, 269, 5753, 1287, 1376, 547, 4228, 519, 1592, 676, 2324, 998, 968, 5320, 3885, 6100, 3245, 11083, 267, 538, 9251, 10259, 267, 519, 6437, 267, 3211, 267, 543, 1287, 10259, 269, 18014, 26538, 8249, 269, 18014, 6212, 593, 840, 2914, 3876, 281, 13235, 338, 267, 20262, 4992, 543, 2241, 1913, 269, 16721, 585, 1603, 1967, 609, 891, 3211, 602, 1445, 593, 4484, 6284, 267, 2262, 20671, 543, 513, 3787, 540, 9423, 269, 18014, 269, 7335, 1299, 5675, 269, 594, 993, 513, 4168, 3993, 540, 2185, 267, 609, 936, 476, 1724, 26188, 1995, 32059, 538, 8828, 14822, 269, 634, 2200, 543, 2472, 594, 1711, 616, 2966, 547, 1832, 519, 3341, 547, 513, 5934, 1247, 849, 8744, 513, 2370, 3872, 1187, 547, 707, 4928, 454, 288, 1863, 7792, 1148, 4976, 585, 513, 7206, 5850, 593, 1871, 269, 12005, 281, 9736, 1220, 277, 3057, 542, 26636, 11276, 7232, 341, 753, 269, 13397, 10234, 547, 6168, 2593, 267, 5549, 269, 589, 4015, 540, 1863, 1148, 3211, 585, 1585, 7206, 5751, 269, 19672, 540, 519, 7206, 3635, 1142, 1148, 4976, 568, 5497, 585, 666, 581, 1336, 609, 519, 4976, 269, 5131, 15026, 3203, 6096, 269, 3733, 5172, 979, 3562, 1148, 4245, 2097, 689, 519, 3203, 2561, 21090, 8018, 25143, 548, 269, 898, 779, 607, 2653, 607, 476, 272, 267, 476, 273, 267, 476, 274, 256, 476, 272, 269, 17292, 606, 11247, 476, 273, 269, 7179, 835, 540, 519, 3203, 2561, 21090, 6096, 476, 274, 269, 13772, 609, 7772, 607, 707, 1053, 1921, 609, 543, 4612, 1148, 17963, 540, 519, 10432, 8281, 7073, 1125, 634, 22339, 1047, 618, 8281, 10289, 2983, 6248, 25609, 8281, 5071, 518, 8131, 631, 3696, 8281, 1215, 547, 5269, 513, 1261, 343, 320, 6953, 1410, 2378, 2716, 6782, 8281, 1215, 547, 19147, 513, 17781, 883, 476, 278, 26321, 20668, 8281, 1215, 547, 8073, 513, 17781, 5071, 2060, 14520, 19507, 6641, 11496, 8281, 1215, 547, 5269, 513, 853, 6729, 542, 8281, 1215, 547, 5269, 513, 5600, 3883, 2280, 2560, 4455, 476, 1789, 267, 476, 1001, 273, 1107, 10812, 6754, 710, 23759, 517, 1284, 529, 345, 779, 4604, 9232, 9209, 281, 6096, 270, 19530, 1963, 5608, 4553, 676, 476, 15704, 277, 1004, 593, 26964, 269, 6423, 811, 2093, 827, 3203, 4245, 267, 3203, 1688, 8083, 267, 3203, 3211, 563, 15430, 1041, 270, 30747, 7124, 4569, 6096, 543, 15026, 7300, 7435, 8083, 269, 901, 2985, 3091, 1863, 7792, 2979, 3211, 585, 9251, 543, 9656, 2157, 269, 1452, 3211, 616, 540, 519, 20923, 2298, 269, 7427, 519, 6402, 2630, 547, 4647, 269, 4746, 929, 520, 823, 609, 2220, 325, 8755, 17118, 2228, 269, 6178, 909, 1107, 4569, 20113, 1280, 18014, 1107, 8437, 1934, 8206, 9484, 476, 274, 267, 476, 1001, 280, 1107, 589, 9522, 540, 9251, 3211, 7824, 25258, 585, 1863, 269, 10606, 267, 5022, 540, 519, 9904, 267, 5969, 267, 543, 16439, 3211, 585, 9251, 547, 1820, 269, 18014, 32274, 4518, 9248, 269, 2382, 656, 4647, 476, 1015, 9251, 16439, 960, 9248, 7824, 5627, 513, 4015, 540, 811, 982, 476, 1220, 16439, 3211, 5497, 585, 946, 609, 1453, 538, 840, 10275, 267, 9251, 267, 9656, 267, 1554, 3249, 267, 21543, 267, 1395, 339, 23379, 267, 543, 824, 2038, 6689, 2069, 563, 15430, 1041, 543, 25595, 2401, 5800, 12859, 543, 10341, 8178, 906, 616, 519, 1655, 1259, 547, 3950, 707, 9251, 518, 779, 3356, 269, 769, 713, 4199, 596, 786, 4309, 281, 9625, 18014, 543, 25595, 2401, 5800, 12859, 22276, 9625, 5800, 12859, 10865, 1983, 24920, 9625, 25833, 4879, 585, 20854, 9625, 25833, 4879, 585, 929, 3371, 616, 930, 17676, 25258, 543, 2200, 547, 948, 596, 1205, 4712, 585, 707, 1126, 779, 14769, 2689, 281, 15026, 23467, 1041, 16680, 22553, 1107, 20343, 1106, 543, 2168, 2069, 1106, 1107, 23539, 3213, 269, 476, 1001, 279, 268, 1001, 280, 23467, 1041, 645, 5407, 5800, 12859, 28826, 1107, 23467, 1041, 2201, 269, 23467, 1041, 4303, 4643, 1676, 543, 5800, 12859, 1107, 3807, 631, 2174, 625, 7937, 267, 543, 3610, 267, 594, 6557, 4946, 1863, 25258, 585, 596, 267, 1932, 256, 2480, 2651, 1524, 513, 3787, 547, 1265, 873, 269, 5131, 7982, 547, 3427, 28826, 585, 18014, 619, 269, 901, 568, 2725, 256, 1107, 589, 2985, 585, 23021, 547, 2721, 513, 1582, 268, 1636, 11681, 593, 519, 1101, 1554, 540, 1153, 269, 2052, 979, 883, 513, 14769, 256, 23467, 1041, 5800, 12859, 15026, 5029, 6500, 1547, 1284, 2648, 1210, 2823, 31987, 1472, 1934, 2507, 621, 779, 519, 3501, 1259, 547, 13686, 707, 2875, 779, 960, 936, 519, 1576, 540, 519, 1032, 269, 1809, 267, 5883, 707, 14769, 543, 5329, 621, 16517, 543, 20036, 630, 31138, 596, 2965, 1616, 547, 14853, 998, 264, 666, 581, 513, 645, 5456, 15677, 2336, 15430, 1041, 5131, 1912, 9582, 6096, 269, 15026, 3211, 4804, 3756, 12409, 7044, 1341, 8606, 1562, 476, 6858, 2164, 8606, 1562, 269, 476, 6858, 22012, 2164, 13068, 782, 12086, 476, 6858, 22012, 2164, 6103, 269, 18014, 15206, 6103, 476, 272, 6103, 476, 273, 6103, 476, 274, 269, 7216, 18551, 3895, 7924, 267, 799, 568, 1946, 938, 9251, 18551, 3211, 616, 16041, 609, 2189, 2081, 547, 1376, 2542, 269, 1284, 2709, 6586, 2719, 2262, 13292, 267, 7508, 4484, 25258, 267, 4484, 16439, 10274, 267, 543, 811, 269, 1703, 616, 9251, 18551, 3211, 585, 1169, 1900, 540, 707, 1762, 15226, 779, 2542, 3460, 269, 7216, 18551, 3895, 7924, 267, 799, 568, 1946, 938, 9251, 18551, 3211, 616, 16041, 609, 2189, 2081, 547, 1376, 2542, 269, 1284, 2709, 6586, 2719, 2262, 13292, 267, 7508, 4484, 25258, 267, 4484, 16439, 10274, 267, 543, 811, 269, 1703, 616, 9251, 18551, 3211, 585, 1169, 1900, 540, 707, 1762, 15226, 779, 2542, 3460, 269, 901, 1863, 7792, 4976, 585, 9251, 568, 513, 1390, 1259, 585, 1453, 547, 1020, 741, 18551, 1983, 269, 11334, 543, 3237, 1058, 723, 741, 1053, 2161, 519, 2012, 540, 1142, 4605, 856, 10978, 602, 5956, 609, 519, 4484, 661, 269, 24436, 602, 2253, 609, 519, 4484, 661, 538, 713, 4976, 616, 281, 17707, 267, 3750, 267, 5798, 267, 543, 519, 1297, 5216, 563, 30357, 13192, 14079, 642, 13839, 1034, 2352, 2979, 1966, 579, 323, 331, 3992, 4566, 2979, 7005, 20131, 2877, 1858, 3211, 2979, 5850, 521, 2979, 6780, 927, 680, 710, 18954, 960, 9248, 2979, 3756, 585, 476, 278, 628, 3446, 840, 7223, 3579, 2742, 276, 628, 3756, 1831, 513, 2979, 20131, 476, 273, 1900, 8691, 2262, 2042, 6305, 26458, 540, 476, 1691, 2979, 1449, 585, 3214, 991, 948, 609, 2979, 2042, 585, 1863, 2979, 13410, 585, 1164, 1153, 1053, 3815, 3529, 540, 476, 7761, 0, 13328, 19505, 4303, 593, 10732, 281, 8376, 19754, 476, 6321, 267, 1822, 9031, 529, 1169, 1032, 454, 303, 8140, 16034, 2185, 1851, 2477, 609, 1164, 10071, 2665, 540, 17326, 2607, 3075, 15033, 19505, 607, 6059, 476, 2767, 267, 1822, 1007, 2665, 616, 4080, 1169, 1032, 563, 13707, 19505, 2665, 11841, 2557, 829, 1032, 568, 476, 30589, 267, 1822, 538, 9031, 1247, 519, 4137, 540, 19505, 2665, 896, 2126, 568, 476, 3607, 279, 267, 6812, 280, 269, 1306, 1082, 607, 476, 8182, 267, 1822, 2550, 616, 14406, 689, 2126, 1247, 476, 6321, 267, 1822, 7972, 616, 7018, 1813, 547, 19505, 538, 9031, 1169, 1032, 563, 13233, 18509, 13541, 19505, 6513, 5358, 23394, 589, 600, 597, 594, 330, 1090, 1767, 602, 476, 14991, 272, 22794, 7740, 723, 1044, 2324, 538, 519, 2197, 269, 1261, 3773, 19505, 2126, 1967, 2557, 568, 476, 11152, 2600, 563, 3891, 1767, 602, 519, 2229, 814, 6976, 2027, 3007, 547, 713, 2565, 3390, 543, 22541, 519, 1982, 585, 3246, 1863, 2126, 547, 19505, 2550, 563, 3891, 1767, 602, 811, 982, 1614, 4627, 8536, 19505, 2550, 616, 4324, 1154, 689, 1863, 10368, 543, 2126, 6703, 1169, 1032, 538, 9031, 563, 3891, 1767, 602, 811, 982, 476, 1789, 10506, 723, 1044, 18175, 24612, 547, 1491, 1416, 540, 3818, 1673, 2607, 15033, 19505, 2665, 543, 476, 1724, 20682, 9280, 609, 1533, 540, 519, 1148, 6703, 616, 1373, 3964, 538, 1585, 2694, 540, 519, 2197, 563, 3891, 1767, 602, 519, 2229, 568, 8149, 547, 3035, 519, 3077, 540, 14874, 519, 2068, 689, 519, 2197, 543, 8179, 1489, 540, 782, 8639, 538, 713, 2543, 563, 13328, 19505, 4303, 7436, 519, 1554, 538, 476, 6642, 273, 950, 3220, 7917, 918, 5255, 9307, 602, 646, 1185, 4362, 519, 24059, 602, 3123, 19505, 267, 799, 8118, 519, 1259, 2509, 23235, 543, 27955, 713, 2068, 563, 307, 289, 3788, 519, 1158, 779, 4666, 31586, 11763, 20740, 269, 3962, 1554, 267, 5176, 476, 14596, 271, 1004, 6336, 741, 2729, 547, 19505, 543, 2673, 547, 476, 1789, 267, 1822, 1004, 2887, 2192, 609, 713, 28824, 543, 524, 9092, 2068, 563, 17471, 3646, 547, 8396, 19505, 723, 10710, 606, 6059, 476, 7918, 2929, 2729, 2094, 519, 1032, 476, 1220, 271, 543, 4389, 519, 19505, 9019, 2557, 676, 476, 5655, 18336, 2414, 17108, 519, 19505, 3210, 538, 2477, 547, 3914, 9072, 9843, 540, 2829, 3357, 1927, 543, 1500, 2178, 19647, 547, 1439, 19505, 693, 519, 1101, 268, 1197, 6167, 4400, 30071, 767, 20051, 538, 5181, 476, 1001, 279, 563, 763, 6249, 540, 2622, 19505, 4303, 476, 1001, 280, 910, 2048, 2005, 779, 942, 685, 1107, 12662, 519, 20020, 593, 519, 23473, 547, 957, 593, 519, 19647, 1500, 676, 2518, 3401, 563, 268, 19716, 646, 1188, 956, 1772, 3873, 336, 11023, 3544, 1010, 2777, 538, 5507, 630, 4668, 292, 302, 264, 6021, 281, 6872, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 715, 5723, 8783, 3081, 4396, 2963, 540, 2724, 561, 879, 837, 532, 1336, 1996, 1412, 15927, 3267, 6021, 281, 5655, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 901, 9031, 328, 2749, 786, 581, 519, 1101, 547, 723, 11452, 10074, 676, 3267, 6021, 281, 1704, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 5440, 26195, 1195, 8746, 827, 2417, 14304, 13218, 609, 9031, 593, 3267, 5400, 281, 6872, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 29706, 32141, 10790, 270, 5960, 322, 11778, 476, 1708, 271, 1107, 3371, 781, 875, 547, 2638, 2228, 5400, 281, 4375, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 1948, 290, 2335, 10008, 1107, 5771, 21171, 22538, 2946, 556, 3630, 2738, 922, 20446, 1310, 6849, 4049, 3267, 5881, 281, 1691, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 12157, 16072, 533, 2293, 538, 1655, 16858, 585, 11427, 269, 543, 6004, 269, 24430, 684, 20144, 1177, 534, 6187, 281, 2004, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 5457, 532, 4258, 325, 15310, 9874, 18498, 593, 476, 273, 526, 2669, 16683, 6860, 281, 2412, 6751, 1923, 476, 1839, 3967, 267, 476, 1708, 272, 454, 268, 21035, 781, 1283, 4775, 3669, 2125, 945, 12740, 12035, 547, 3251, 3514, 6349, 281, 3607, 6751, 1923, 476, 2420, 3967, 267, 476, 1708, 272, 454, 268, 3371, 781, 875, 1158, 3401, 15527, 547, 24068, 781, 22305, 4851, 607, 623, 5588, 4785, 5881, 281, 2190, 6751, 1923, 476, 2641, 3967, 267, 476, 1708, 272, 454, 268, 25578, 945, 5828, 1524, 5068, 6391, 5881, 281, 3953, 6751, 1923, 476, 1704, 3967, 267, 476, 1708, 272, 454, 268, 25578, 945, 18584, 538, 519, 2250, 1556, 281, 4343, 6751, 1923 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16158, 9094, 8675, 476, 4489, 274, 2228, 2139, 267, 1631, 849, 519, 5680, 9094, 887, 3553, 3279, 6905, 4528, 563, 12812, 1934, 547, 1569, 519, 1357, 9094, 8675, 476, 4489, 274, 543, 887, 3553, 3279, 4528, 2228, 563, 12812, 1934, 585, 3872, 4930, 454, 13563, 11595, 9218, 454, 763, 23448, 867, 2435, 4065, 540, 22956, 31409, 630, 763, 27405, 1190, 31409, 5980, 994, 6524, 972, 729, 513, 27405, 1190, 31409, 5980, 267, 972, 729, 3274, 513, 7911, 3957, 22956, 31409, 269, 20821, 519, 7911, 945, 3323, 621, 782, 2807, 301, 710, 4458, 6040, 22956, 31409, 814, 811, 2042, 982, 1034, 1453, 1010, 2085, 269, 3502, 1152, 568, 646, 606, 29152, 609, 606, 25031, 9224, 267, 855, 646, 849, 814, 562, 541, 1723, 548, 10043, 267, 513, 2783, 602, 3947, 1864, 15265, 3781, 2742, 637, 543, 20965, 763, 2022, 634, 23448, 867, 2435, 4065, 540, 22956, 31409, 630, 763, 27405, 1190, 31409, 5980, 264, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 763, 3689, 268, 17413, 11819, 781, 27834, 6651, 281, 27973, 268, 2414, 268, 8196, 11150, 267, 13088, 1299, 11242, 585, 20051, 519, 12694, 540, 3962, 3427, 4303, 630, 297, 657, 8124, 5174, 817, 27834, 20929, 994, 763, 2022, 634, 3689, 268, 17413, 11819, 781, 27834, 6651, 281, 27973, 268, 2414, 268, 8196, 11150, 267, 13088, 1299, 11242, 585, 20051, 519, 12694, 540, 3962, 3427, 4303, 630, 297, 657, 8124, 5174, 817, 27834, 20929, 264, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 19733, 281, 634, 6657, 543, 25088, 540, 9752, 454, 25820, 281, 259, 11025, 269, 5655, 3367, 811, 454, 763, 2022, 4065, 281, 634, 6657, 543, 25088, 540, 9752, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 3383, 13518, 21637, 267, 1924, 9741, 7827, 281, 634, 6431, 14571, 540, 23299, 538, 12124, 12140, 454, 1607, 18367, 543, 29752, 1433, 7710, 519, 18094, 540, 5821, 538, 2221, 521, 4683, 3506, 269, 2311, 922, 2295, 568, 519, 4661, 602, 1034, 2069, 3609, 5717, 616, 30890, 689, 519, 3232, 19178, 540, 4683, 3506, 267, 2523, 1346, 538, 4057, 543, 581, 548, 16331, 1229, 16973, 269, 8176, 631, 269, 9796, 928, 13187, 602, 649, 723, 8959, 547, 2272, 4628, 585, 519, 20965, 763, 2022, 1924, 13518, 21637, 267, 1924, 9741, 7827, 281, 634, 6431, 14571, 540, 23299, 538, 12124, 12140, 7902, 1101, 593, 4065, 910, 19396, 910, 6478, 10632, 910, 20028, 1565, 563, 30238, 3377, 689, 23968, 5622, 8551, 454, 1692, 1677, 5269, 519, 7454, 594, 1027, 24334, 2986, 2659, 5020, 454, 2252, 707, 2856, 540, 12882, 11366, 23410, 5367, 6995, 5889, 11366, 385, 354, 568, 12882, 11366, 23410, 2280, 1154, 1250, 3905, 6995, 1205, 4411, 5889, 11366, 385, 354, 1287, 267, 9932, 267, 649, 991, 547, 2911, 5889, 11366, 892, 9767, 17330, 1732, 269, 1703, 616, 16221, 2081, 547, 1118, 476, 5367, 6995, 267, 855, 952, 596, 1616, 547, 798, 4376, 1134, 267, 596, 5889, 23717, 557, 3893, 547, 533, 732, 1524, 707, 3681, 543, 2731, 1445, 281, 670, 821, 707, 1983, 693, 835, 610, 1079, 2553, 2864, 982, 546, 13741, 1782, 609, 513, 18797, 1114, 1786, 9955, 269, 6056, 540, 873, 607, 519, 1093, 3737, 4212, 543, 519, 26545, 16940, 4212, 540, 476, 5367, 6995, 563, 19770, 934, 4926, 4095, 8473, 22651, 540, 15385, 883, 922, 8513, 454, 19770, 814, 15034, 4095, 8473, 22651, 540, 15385, 883, 922, 8513, 689, 519, 1533, 540, 31881, 330, 574, 593, 3127, 781, 27040, 8473, 609, 17230, 267, 519, 4457, 4914, 543, 20237, 1295, 31559, 723, 1767, 267, 635, 2364, 908, 606, 2907, 2352, 2078, 269, 717, 1263, 1744, 340, 836, 267, 513, 22557, 2006, 609, 3624, 781, 4914, 18591, 267, 1767, 4095, 22651, 834, 984, 560, 1192, 539, 3339, 2238, 257, 676, 4457, 4229, 593, 519, 8473, 543, 1572, 593, 3127, 547, 11198, 5612, 267, 2687, 547, 513, 18591, 3948, 3735, 593, 11728, 563, 301, 12342, 781, 645, 7795, 926, 15920, 1101, 5048, 2094, 2921, 7210, 4734, 593, 2904, 476, 278, 281, 24164, 2959, 454, 3528, 21634, 1460, 2201, 340, 1695, 9474, 308, 297, 288, 630, 3725, 26407, 264, 910, 13280, 781, 5518, 17124, 340, 645, 7795, 926, 814, 9447, 606, 8301, 5048, 547, 1665, 519, 9099, 661, 573, 620, 6363, 527, 337, 9702, 267, 1079, 9972, 24164, 2959, 1767, 267, 1010, 1101, 1857, 3948, 2094, 646, 2451, 585, 6628, 593, 2564, 4734, 593, 2904, 476, 278, 269, 645, 7795, 926, 267, 513, 7332, 689, 519, 5087, 267, 1500, 519, 2232, 267, 10912, 585, 4708, 543, 9322, 267, 538, 519, 670, 9476, 320, 1893, 9275, 4922, 538, 602, 851, 540, 519, 2197, 269, 634, 24164, 1705, 711, 5305, 3381, 22089, 610, 11147, 540, 645, 7795, 926, 1818, 519, 10916, 4862, 676, 1234, 26407, 538, 799, 519, 7022, 781, 5639, 4992, 4617, 563, 298, 550, 13806, 15818, 538, 1269, 7785, 2929, 12611, 10325, 7904, 525, 772, 2529, 12727, 1867, 454, 288, 17996, 15818, 945, 5418, 12184, 16944, 547, 10283, 538, 513, 1269, 7785, 2929, 9659, 12611, 10325, 814, 19679, 547, 513, 2197, 602, 1281, 711, 723, 606, 3063, 1288, 14097, 609, 519, 2136, 2276, 267, 2199, 2923, 4080, 269, 18238, 18332, 1230, 333, 267, 476, 6321, 267, 1031, 513, 16995, 1780, 1636, 547, 25176, 547, 513, 2197, 646, 1705, 711, 2697, 267, 2687, 547, 519, 22858, 15838, 670, 14283, 6441, 1737, 518, 267, 799, 1767, 621, 22121, 15737, 609, 513, 1268, 621, 4857, 607, 1230, 333, 269, 634, 1957, 1767, 593, 10732, 602, 1268, 12943, 7157, 2055, 1152, 1230, 333, 1131, 917, 269, 8845, 6519, 267, 1230, 333, 781, 18607, 267, 1223, 711, 581, 6603, 676, 1234, 26407, 585, 6085, 267, 855, 646, 5143, 519, 11356, 602, 646, 849, 4607, 15737, 689, 602, 1482, 2232, 267, 689, 513, 1268, 646, 5156, 547, 581, 1230, 333, 563, 292, 573, 1854, 576, 538, 2112, 2389, 1941, 13372, 2749, 540, 3057, 25596, 7475, 454, 2304, 5216, 16923, 24044, 13933, 538, 513, 27000, 2749, 3850, 7264, 547, 8661, 519, 1439, 540, 30782, 3357, 547, 606, 23589, 1439, 10732, 12784, 607, 519, 2229, 4797, 922, 18086, 1996, 5771, 626, 17740, 1218, 30939, 2694, 540, 2112, 2389, 1941, 3057, 25596, 269, 2667, 5435, 338, 20483, 676, 2011, 543, 25044, 10514, 731, 618, 1185, 11074, 693, 519, 1376, 540, 9099, 19001, 693, 476, 277, 600, 855, 7784, 13933, 13264, 856, 607, 4166, 607, 519, 1854, 576, 8694, 1472, 476, 273, 10975, 267, 589, 17025, 1065, 13024, 538, 3057, 25596, 1767, 269, 13636, 4108, 19524, 31924, 4937, 14161, 17010, 8895, 557, 345, 1767, 519, 1854, 576, 849, 4847, 2947, 7332, 3909, 3401, 547, 4283, 2666, 4642, 543, 21907, 609, 519, 17740, 1218, 547, 5305, 19742, 3984, 1137, 267, 2523, 1453, 267, 2021, 543, 519, 11361, 269, 0, 23277, 10129, 531, 1028, 665, 13954, 302, 2041, 637, 3794, 656, 531, 2008, 27242, 26302, 1475, 297, 665, 1156, 2904, 518, 630, 7374, 308, 10245, 27242, 11192, 1475, 274, 269, 3445, 5998, 273, 630, 272, 269, 7906, 13483, 11465, 10245, 347, 292, 4582, 566, 1475, 27123, 544, 630, 272, 267, 271, 2767, 10264, 10245, 27242, 25670, 1475, 13975, 270, 14790, 273, 630, 25851, 4882, 336, 11465, 10245, 347, 11742, 7997, 1475, 4753, 307, 14727, 12239, 630, 7473, 290, 266, 272, 270, 266, 273, 10245, 17764, 3387, 778, 568, 606, 2107, 1206, 613, 1889, 785, 324, 1107, 513, 29109, 10362, 547, 513, 7638, 27512, 613, 1889, 785, 324, 267, 513, 2186, 540, 7104, 29109, 1107, 538, 519, 27173, 1088, 8664, 538, 10910, 514, 14657, 6261, 531, 520, 3729, 267, 5125, 269, 898, 12851, 547, 519, 7638, 27512, 613, 1889, 785, 324, 540, 744, 2041, 637, 3794, 656, 531, 267, 4171, 10160, 568, 538, 5576, 7238, 333, 28086, 11860, 6686, 10964, 6199, 563, 268, 476, 272, 17323, 454, 268, 476, 273, 3778, 454, 268, 476, 274, 15215, 454, 268, 476, 275, 15348, 454, 268, 476, 276, 9177, 543, 8289, 572, 4370, 454, 268, 476, 277, 19004, 543, 5989, 454, 268, 476, 278, 22108, 454, 17764, 3387, 778, 21018, 2059, 519, 1647, 7937, 3387, 778, 14860, 538, 519, 5375, 6022, 520, 3729, 1063, 670, 619, 577, 933, 8814, 6261, 564, 1562, 8583, 543, 5696, 6686, 1188, 523, 269, 5565, 2156, 758, 338, 267, 835, 1142, 2427, 540, 519, 7937, 3387, 778, 267, 8900, 883, 713, 5757, 1934, 269, 2290, 540, 891, 267, 519, 1284, 527, 619, 22138, 267, 799, 5236, 361, 480, 3298, 689, 519, 7532, 543, 849, 14380, 1369, 7937, 3387, 778, 779, 7182, 267, 8255, 998, 513, 14860, 602, 814, 849, 1044, 3710, 909, 269, 634, 10239, 593, 519, 23898, 685, 5011, 3914, 15627, 540, 1134, 936, 476, 4968, 544, 1657, 4262, 1377, 267, 609, 519, 5207, 1373, 519, 918, 928, 577, 1206, 6199, 630, 4343, 278, 544, 1040, 634, 18513, 1858, 3800, 476, 29496, 688, 267, 540, 799, 476, 6812, 688, 568, 3574, 539, 563, 17764, 3387, 778, 10665, 538, 519, 22583, 593, 519, 29109, 540, 670, 619, 577, 933, 8814, 6261, 564, 1562, 8583, 267, 538, 519, 7532, 593, 519, 29109, 540, 23415, 22138, 993, 3794, 534, 267, 538, 519, 5045, 593, 519, 29109, 540, 5696, 6686, 1188, 523, 267, 538, 519, 22236, 593, 519, 29109, 540, 667, 8636, 933, 8814, 267, 538, 519, 7178, 593, 519, 29109, 540, 1325, 1084, 330, 1844, 1156, 543, 538, 519, 22070, 593, 519, 29109, 540, 918, 549, 1777, 601, 22138, 269, 7937, 3387, 778, 849, 10742, 519, 29109, 540, 31530, 18255, 327, 1993, 523, 693, 513, 2582, 1448, 538, 519, 22070, 563, 9213, 779, 8498, 540, 7937, 3387, 778, 8057, 856, 540, 1079, 3312, 18013, 12946, 519, 4408, 744, 828, 14114, 327, 3387, 778, 543, 715, 1221, 518, 14114, 327, 3387, 778, 12462, 308, 3899, 892, 543, 968, 301, 5930, 892, 7937, 3387, 778, 1070, 519, 8545, 540, 799, 729, 8385, 3957, 1284, 527, 619, 22138, 269, 744, 828, 14114, 327, 3387, 778, 779, 8075, 7265, 1229, 1472, 513, 2923, 24834, 5939, 538, 519, 1647, 540, 513, 1178, 3272, 731, 602, 11542, 593, 513, 7823, 27513, 267, 1247, 715, 1221, 518, 14114, 327, 3387, 778, 21401, 856, 593, 513, 14629, 5045, 540, 519, 1284, 527, 619, 22138, 269, 634, 1079, 14252, 593, 1142, 2427, 540, 519, 998, 4155, 593, 519, 2156, 758, 779, 1318, 4871, 1279, 3516, 8057, 1927, 269, 589, 18960, 10821, 1858, 609, 513, 2462, 1007, 2679, 7997, 609, 513, 3595, 6728, 267, 513, 9656, 543, 513, 19209, 21018, 9944, 513, 7823, 9386, 593, 519, 7937, 3387, 778, 779, 2451, 4871, 269, 3371, 267, 1932, 267, 6763, 519, 7826, 5939, 267, 3710, 538, 476, 3192, 271, 630, 1492, 2923, 24834, 835, 568, 2221, 5345, 13370, 673, 1040, 634, 23242, 2666, 609, 922, 8630, 5264, 11338, 6013, 593, 519, 7937, 3387, 778, 779, 2451, 4871, 593, 22505, 680, 28739, 14259, 29967, 324, 12462, 306, 1636, 532, 16140, 9335, 26158, 634, 8498, 22595, 1079, 1178, 3272, 1841, 267, 519, 835, 538, 744, 828, 14114, 327, 3387, 778, 609, 922, 6180, 4231, 6013, 538, 519, 5087, 1439, 593, 17054, 327, 1993, 14259, 29967, 324, 12462, 24836, 3272, 731, 9335, 25257, 543, 519, 835, 538, 715, 1221, 518, 14114, 327, 3387, 778, 568, 547, 581, 1336, 593, 519, 998, 4155, 5045, 540, 519, 8498, 563, 289, 8960, 7198, 547, 2038, 13896, 538, 519, 1858, 616, 22300, 3046, 4900, 1369, 7937, 3387, 778, 779, 1378, 7182, 543, 849, 593, 2244, 4371, 676, 782, 519, 30240, 25772, 269, 589, 1390, 3046, 992, 689, 606, 7164, 942, 6013, 593, 519, 15627, 540, 519, 918, 928, 577, 1084, 6199, 267, 855, 621, 568, 8697, 267, 27333, 1310, 2348, 1044, 3368, 25653, 2476, 538, 476, 3707, 276, 676, 519, 1284, 327, 3944, 25638, 269, 11829, 334, 7304, 2674, 2053, 267, 1932, 267, 2451, 741, 15244, 269, 634, 24790, 540, 513, 5636, 320, 15309, 3821, 941, 11552, 691, 1117, 607, 1279, 3516, 607, 519, 476, 866, 628, 2540, 269, 28057, 338, 689, 4936, 2053, 941, 3710, 883, 519, 2923, 24834, 5939, 339, 1077, 269, 634, 5169, 1023, 540, 891, 838, 16288, 616, 1631, 6854, 693, 519, 16024, 529, 2583, 7467, 4325, 9807, 563, 2691, 519, 14252, 540, 7937, 3387, 778, 543, 1284, 527, 619, 22138, 941, 8547, 568, 1945, 602, 568, 1631, 7164, 269, 1358, 798, 711, 2408, 538, 519, 12443, 696, 1664, 267, 519, 3735, 268, 280, 628, 10601, 21259, 11578, 689, 519, 30745, 540, 12142, 268, 7230, 328, 19942, 1524, 676, 2871, 2946, 337, 731, 269, 901, 568, 513, 23319, 602, 5267, 602, 789, 1705 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3327, 8166, 267, 1216, 267, 2802, 2643, 4568, 267, 1648, 3092, 907, 543, 12550, 2675, 641, 1227, 1267, 538, 513, 16715, 540, 519, 9063, 1871, 267, 538, 519, 2504, 540, 23599, 6878, 543, 1315, 610, 19979, 267, 538, 3154, 2504, 543, 538, 519, 2333, 540, 519, 14859, 2527, 269, 634, 2165, 968, 3901, 4851, 892, 593, 519, 824, 1688, 267, 3277, 547, 519, 1950, 540, 9118, 23020, 6547, 602, 568, 519, 4493, 540, 1579, 822, 720, 610, 679, 9195, 1738, 15059, 540, 1950, 6675, 883, 12863, 6675, 282, 5672, 668, 26163, 689, 1950, 547, 2241, 11254, 7408, 538, 519, 2013, 540, 5946, 267, 538, 519, 2013, 540, 30713, 30828, 547, 1395, 657, 30828, 269, 1452, 6547, 1491, 1279, 942, 267, 1247, 519, 18829, 568, 1454, 5488, 282, 519, 18829, 267, 2705, 267, 666, 581, 30281, 1524, 1360, 1454, 952, 519, 14859, 568, 5116, 693, 1964, 538, 513, 1970, 2837, 630, 5228, 476, 272, 11019, 595, 547, 476, 275, 11019, 595, 3193, 1040, 769, 713, 1259, 649, 2285, 519, 4316, 547, 519, 14859, 547, 9921, 282, 1152, 547, 30553, 7018, 786, 3442, 547, 7500, 519, 16795, 9870, 540, 519, 2837, 538, 1931, 547, 2333, 267, 547, 3666, 543, 11126, 519, 18829, 1184, 269, 1160, 14075, 1117, 18829, 543, 30553, 849, 723, 606, 3310, 267, 711, 6281, 267, 1312, 593, 519, 15808, 1272, 1312, 593, 519, 1418, 1961, 10364, 4162, 540, 519, 8737, 1587, 24705, 2590, 267, 1063, 519, 824, 267, 13526, 6979, 543, 10366, 15091, 563, 763, 26887, 846, 1543, 538, 570, 269, 1395, 19222, 636, 630, 2537, 269, 274, 268, 2764, 269, 277, 260, 540, 2698, 20566, 264, 630, 295, 10537, 2998, 1696, 620, 10371, 476, 1001, 275, 264, 568, 2539, 982, 546, 584, 636, 10568, 630, 1789, 8472, 543, 2571, 10568, 630, 3374, 268, 6246, 260, 16532, 11021, 602, 519, 26887, 846, 1543, 4679, 607, 519, 1297, 540, 25450, 4679, 269, 898, 849, 814, 1507, 20566, 11491, 2737, 630, 810, 10777, 645, 15178, 264, 538, 3152, 8167, 982, 6738, 10568, 269, 4634, 1804, 20566, 11491, 2737, 630, 288, 15178, 264, 723, 513, 3648, 2539, 8006, 538, 519, 1395, 19905, 10286, 630, 1724, 269, 273, 32755, 264, 982, 546, 584, 636, 10568, 630, 1428, 269, 274, 32755, 264, 610, 2571, 10568, 630, 2537, 269, 279, 32755, 264, 630, 307, 611, 1372, 328, 1696, 620, 1421, 476, 1220, 280, 264, 543, 782, 713, 8309, 547, 519, 1164, 7558, 2225, 540, 3536, 1759, 593, 1395, 19905, 10568, 630, 307, 611, 1372, 328, 1696, 620, 1421, 476, 1220, 280, 1070, 18867, 519, 2627, 829, 1770, 2597, 540, 519, 20566, 10286, 11491, 2737, 630, 278, 5038, 32755, 264, 568, 3152, 982, 547, 2571, 10568, 630, 20862, 32755, 1070, 543, 4061, 811, 6385, 29230, 7458, 676, 26887, 1162, 630, 293, 3757, 1723, 1696, 620, 476, 1960, 273, 1040, 3502, 782, 20566, 568, 6385, 29230, 7458, 1282, 12536, 267, 519, 6824, 602, 759, 1235, 12536, 543, 10338, 538, 519, 1480, 1507, 16892, 568, 1572, 968, 637, 9665, 20566, 892, 543, 814, 12214, 2360, 13380, 547, 1346, 540, 8192, 6775, 269, 1717, 267, 2582, 3766, 1778, 10568, 814, 513, 1970, 1543, 630, 271, 269, 273, 8472, 538, 968, 637, 9665, 20566, 892, 950, 3379, 547, 1455, 10568, 630, 271, 269, 275, 260, 547, 476, 271, 269, 279, 8472, 630, 6781, 23437, 5025, 531, 1696, 620, 1421, 476, 1220, 279, 1916, 288, 15116, 8984, 540, 713, 23611, 568, 519, 1164, 1426, 7109, 1464, 269, 769, 519, 2063, 1906, 1296, 3875, 8097, 20209, 1878, 540, 519, 4389, 17219, 540, 519, 1395, 19905, 10568, 605, 4594, 1231, 723, 1044, 5833, 269, 769, 1880, 267, 519, 605, 4594, 1231, 540, 713, 23611, 616, 711, 2111, 547, 16578, 15087, 538, 519, 15499, 11940, 6242, 540, 524, 27112, 2550, 630, 288, 584, 545, 577, 1470, 1696, 620, 1421, 476, 2735, 273, 282, 1546, 966, 4532, 523, 17844, 1696, 620, 1421, 476, 1960, 276, 282, 476, 1960, 277, 264, 543, 547, 4903, 331, 583, 3729, 918, 6321, 273, 630, 306, 264, 2281, 267, 513, 538, 20117, 4255, 9244, 17047, 609, 519, 968, 1729, 13877, 640, 892, 540, 519, 7139, 3133, 545, 30902, 269, 5015, 267, 570, 269, 1395, 19222, 636, 1569, 687, 540, 6375, 334, 1673, 11395, 9696, 2111, 547, 12954, 570, 9726, 14231, 723, 1044, 4857, 630, 300, 565, 6199, 1696, 620, 1421, 476, 1220, 276, 282, 1975, 320, 523, 6359, 5937, 2131, 6362, 1696, 620, 1421, 476, 1220, 276, 282, 2098, 534, 7236, 1696, 620, 1421, 476, 1001, 274, 1040, 21298, 267, 717, 1014, 325, 3757, 328, 1696, 620, 269, 630, 1001, 273, 264, 4080, 519, 2164, 540, 513, 1353, 593, 1079, 1395, 19905, 10568, 1024, 8040, 267, 3933, 5894, 543, 9517, 28664, 267, 3379, 609, 519, 3099, 540, 13035, 10568, 32371, 8636, 23581, 269, 1717, 267, 1247, 519, 7139, 11717, 919, 540, 32371, 8636, 23581, 543, 3933, 5894, 267, 513, 3099, 540, 1395, 19905, 10568, 1863, 540, 28911, 3766, 2993, 611, 1231, 267, 616, 2111, 547, 3895, 519, 18735, 540, 4283, 14231, 538, 519, 6939, 338, 540, 519, 29935, 17011, 540, 524, 27112, 2550, 543, 547, 16578, 519, 10282, 540, 954, 331, 1172, 710, 476, 1428, 630, 6579, 268, 476, 1428, 264, 538, 15499, 5636, 328, 4283, 14231, 267, 9517, 25834, 605, 4594, 1231, 267, 513, 1395, 19905, 10568, 1899, 5627, 1152, 835, 28911, 3766, 2993, 611, 514, 267, 1397, 1100, 1198, 269, 634, 2164, 2303, 602, 3933, 5894, 568, 2111, 547, 19334, 17916, 12046, 543, 3895, 519, 10282, 540, 17727, 4157, 514, 476, 1428, 630, 6579, 268, 1428, 1070, 513, 1883, 11140, 538, 519, 15632, 540, 13261, 12046, 267, 1247, 9517, 28664, 1281, 711, 3100, 5827, 540, 19310, 1746, 713, 1826, 540, 4761, 3210, 269, 2353, 713, 568, 538, 6876, 609, 519, 8343, 602, 519, 605, 4594, 1231, 540, 519, 3933, 5894, 3099, 543, 824, 1395, 19905, 10568, 1024, 8040, 1510, 28911, 3766, 2993, 611, 514, 13789, 899, 519, 605, 4594, 1231, 540, 2571, 10568, 538, 741, 2702, 547, 4903, 331, 583, 3729, 918, 6321, 273, 630, 306, 264, 2281, 543, 7369, 519, 15499, 13423, 26375, 269, 1452, 4686, 6757, 1024, 8040, 540, 1395, 19905, 10568, 630, 283, 273, 8472, 8428, 689, 519, 1866, 1813, 547, 519, 15116, 640, 540, 711, 6721, 28911, 3766, 2993, 611, 1231, 267, 538, 799, 9696, 2111, 547, 25559, 519, 17219, 540, 519, 824, 605, 4594, 1231, 3100, 547, 581, 1459, 269, 4014, 1395, 19905, 10568, 5946, 1397, 4389, 2166, 1729, 13877, 640, 2509, 15499, 2281, 267, 519, 4527, 540, 4761, 1673, 11395, 13423, 8554, 840, 11079, 741, 946, 538, 519, 524, 27112, 2732, 563, 4002, 519, 824, 1688, 267, 6236, 602, 519, 11841, 543, 10335, 540, 524, 27112, 2068, 5673, 593, 519, 7274, 543, 519, 5739, 1145, 540, 519, 605, 4594, 1231, 543, 602, 930, 1395, 19905, 10568, 1024, 8040, 723, 513, 1164, 3694, 1818, 2298, 13745, 609, 9000, 540, 11118, 25570, 640, 543, 4389, 6375, 8328, 640, 267, 621, 568, 4397, 602, 946, 540, 1395, 19905, 1166, 2293, 538, 519, 2732, 540, 519, 2489, 2551, 267, 538, 799, 972, 568, 513, 1164, 6871, 540, 2043, 16220, 19753, 12723, 547, 524, 27112, 2068, 855, 711, 2943, 524, 27112, 267, 666, 948, 547, 2270, 519, 3262, 540, 713, 1106, 540, 1426, 22166, 269, 901, 5267, 602, 519, 1395, 19905, 10568, 267, 5063, 4080, 538, 14713, 538, 7977, 676, 3173, 540, 519, 7027, 585, 3194, 543, 15331, 566, 538, 11982, 630, 290, 6938, 264, 540, 7507, 543, 5842, 19664, 334, 700, 617, 580, 10730, 267, 786, 1404, 606, 1271, 1909, 538, 519, 6604, 540, 524, 27112, 2068, 267, 1312, 2047, 538, 519, 1106, 540, 3694, 543, 18437, 1312, 18549, 607, 513, 2203, 2249, 585, 519, 1353, 540, 519, 1909, 540, 17916, 12046, 538, 519, 12614, 540, 524, 27112, 2068, 269, 20978, 281, 634, 1007, 4395, 4536, 540, 1426, 4066, 543, 519, 524, 27112, 2068, 7439, 828, 1729, 623, 1758, 320, 267, 23718, 30657, 5633, 630, 1001, 274, 1040, 11730, 476, 18891, 267, 476, 272, 5412, 476, 1001, 277, 267, 9664, 476, 276, 4391, 268, 276, 5655, 4329, 6166, 725, 941, 12006, 676, 519, 1382, 281, 13363, 633, 2360, 540, 9517, 28664, 570, 26578, 636, 1395, 19222, 636, 1350, 328, 611, 514, 593, 538, 20117, 3631, 540, 519, 15499, 13423, 26375, 269, 16902, 2224, 28500, 10496, 558, 3626, 1696, 620, 269, 476, 1001, 277, 269, 4400, 7547, 281, 3040, 9517, 28664, 1350, 328, 611, 1231, 798, 711, 3986, 27978, 543, 798, 711, 16578, 1990, 517, 6081, 5305, 269, 3040, 9517, 28664, 1350, 328, 611, 1231, 798, 711, 9594, 11118, 25570, 640, 610, 11118, 18929, 13987, 556, 32360, 269, 3040, 9517, 28664, 16063, 12536, 13847, 28911, 630, 10755, 268, 11277, 264, 6915, 5562, 26733, 269, 3040, 28911, 630, 10755, 268, 11277, 264, 11851, 338, 513, 8825, 2962, 1996, 519, 17219, 13251, 676, 570, 269, 8353, 643, 636, 269, 17593, 589, 3395, 1719, 538, 3384, 1007, 2994, 1813, 547, 1071, 27112, 2068, 269, 769, 519, 1699, 1353, 267, 649, 8495, 519, 6211, 2360, 540, 9517, 28664, 570, 26578, 636, 1395, 19222, 636, 1350, 328, 611, 514, 23402, 30902, 538, 1480, 595, 23147, 268, 273, 15499, 25853, 2281, 269, 570, 26578, 636, 8353, 643, 636, 1350, 328, 611, 514, 6508, 30902, 941, 1031, 607, 513, 2318, 1852, 269, 634, 2360, 593, 25853, 27978, 267, 1990, 517, 6081, 5305, 267, 23812, 267, 543, 11118, 18929, 13987, 556, 32360, 941, 11567, 269, 3776, 4681, 9672, 602, 9517, 28664, 1350, 328, 611, 514, 1705, 711, 3986, 27978, 543, 1705, 711, 16578, 1990, 517, 6081, 5305, 267, 11118, 25570, 640, 610, 11118, 18929, 13987, 556, 32360, 540, 595, 23147, 268, 273, 1591, 1395, 565, 16558, 269, 1284, 849, 7152, 602, 9517, 28664, 28911, 3766, 2993, 611, 514, 543, 922, 6508, 26733, 28911, 630, 10755, 268, 11277, 264, 25116, 547, 8825, 2962, 267, 19086, 519, 5945, 540, 570, 26578, 636, 8353, 643, 636, 1350, 328, 611, 514, 593, 1591, 23812, 543, 11118, 18929, 13987, 556, 32360, 269, 1452, 2164, 949, 2099, 513, 1007, 4316, 585, 519, 2104, 1646, 540, 5499, 2994, 547, 2569, 15347, 17219, 538, 519, 2732, 540, 2550, 609, 15347, 22166, 563, 12507, 19905, 10568, 3940, 1543, 267, 593, 3328, 476, 1428, 268, 1240, 9077, 568, 2362, 982, 602, 540, 824, 16916, 24799, 543, 814, 513, 9422, 1871, 2362, 982, 602, 540, 1455, 10568, 543, 546, 584, 636, 10568, 269, 634, 2090, 5645, 856, 693, 519, 3194, 5149, 585, 519, 19120, 5511, 4406, 528, 5314, 540, 24583, 1023, 540, 519, 7027, 585, 3194, 543, 15331, 566, 538, 11982, 630, 290, 6938, 29841, 4753, 264, 538, 519, 2063, 4557, 1296, 723, 4847, 547, 2697, 1082, 15116, 543, 6484, 958, 4277, 3344, 540, 519, 1395, 19905, 10568, 269, 7324, 519, 4162, 602, 1118, 621, 2189, 538, 519, 2361, 540, 12450, 24799, 649, 723, 630, 328, 264, 519, 1164, 1543, 540, 25558, 523, 6950, 267, 840, 15479, 832, 540, 6171, 589, 543, 2067, 14434, 267, 799, 568, 827, 476, 276, 2053, 602, 540, 2571, 10568, 282, 630, 4512, 264, 519, 5140, 8244, 540, 547, 3712, 328, 630, 341, 9559, 661, 1070, 799, 568, 827, 476, 2004, 260, 3152, 982, 546, 584, 636, 10568, 543, 2571, 10568, 282, 630, 13839, 264, 519, 1164, 1543, 538, 26307, 630, 12671, 476, 2004, 260, 811, 982, 1455, 10568, 1070, 609, 513, 2312, 9860, 540, 5667, 18260, 9761, 7408, 282, 630, 643, 264, 519, 1164, 6871, 538, 11849, 543, 519, 1164, 1543, 538, 6886, 630, 31860, 4277, 616, 13058, 267, 4401, 543, 16903, 264, 543, 630, 341, 264, 513, 1543, 538, 5613, 827, 476, 2004, 268, 3583, 260, 3152, 982, 2571, 10568, 630, 295, 10537, 2998, 543, 15952, 565, 7236, 267, 476, 1220, 279, 264, 15426, 634, 1395, 19905, 10568, 7912, 267, 3592, 791, 531, 335, 762, 267, 814, 513, 8984, 5835, 2681, 543, 568, 5140, 585, 519, 2504, 540, 536, 4593, 7057, 267, 15315, 267, 1166, 1389, 543, 824, 29221, 2044, 2472, 630, 289, 8681, 565, 7236, 1696, 620, 1421, 476, 1220, 279, 282, 2717, 4802, 328, 1696, 620, 1421, 476, 1001, 274, 5148, 972, 616, 849, 1024, 8040, 609, 606, 5140, 10182, 547, 3694, 6194, 630, 306, 777, 517, 16619, 1696, 620, 1421, 476, 1960, 276, 282, 16907, 724, 328, 1696, 620, 1421, 476, 1960, 277, 1040, 4746, 519, 2250, 2305, 2298, 568, 1360, 1164, 267, 1312, 538, 2474, 540, 960, 1464, 540, 519, 6151, 1570, 543, 540, 519, 2298, 540, 519, 8737, 1587, 281, 519, 838, 698, 515, 26152, 543, 519, 1395, 25497, 1723, 10568, 5672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6353, 676, 21376, 1379, 6384, 267, 2686, 28735, 267, 543, 2804, 14226, 780, 2862, 269, 15486, 540, 1546, 3712, 517, 1436, 692, 15703, 2188, 8329, 547, 519, 7771, 540, 3864, 7810, 7060, 543, 519, 7766, 5951, 540, 28160, 1436, 1384, 265, 9622, 10885, 540, 2817, 3117, 4109, 1145, 281, 1306, 6805, 5095, 2968, 5051, 13473, 543, 6534, 547, 5375, 2093, 540, 9111, 543, 1582, 24148, 267, 789, 3459, 547, 2243, 543, 5706, 4914, 4341, 269, 25827, 338, 543, 15628, 5129, 11358, 5107, 538, 5807, 3084, 9637, 543, 20834, 1944, 4550, 12258, 11102, 5322, 563, 265, 9483, 15448, 281, 634, 10969, 566, 3361, 676, 2622, 2782, 594, 543, 4083, 18604, 3864, 11615, 267, 1818, 621, 2352, 585, 873, 547, 2226, 741, 7810, 22590, 269, 3958, 267, 4853, 7760, 538, 19497, 32519, 4525, 4389, 21341, 593, 3864, 6990, 543, 2200, 267, 2417, 14944, 1456, 7810, 1949, 563, 265, 4139, 16242, 281, 2060, 519, 4473, 540, 519, 2136, 2276, 543, 519, 8168, 5742, 607, 2706, 335, 10183, 1739, 2622, 2782, 4083, 267, 3486, 2604, 15841, 593, 3864, 2477, 547, 882, 22055, 880, 741, 10125, 269, 5637, 519, 772, 2529, 269, 543, 519, 8168, 5742, 15469, 19237, 540, 5191, 543, 7862, 267, 10404, 1944, 7810, 2853, 543, 5885, 7115, 3646, 269, 5047, 267, 3906, 899, 519, 2136, 8315, 5293, 21368, 28409, 28160, 1436, 543, 5009, 1582, 3766, 4261, 766, 780, 7656, 269, 6206, 15638, 543, 5695, 940, 18745, 692, 288, 1906, 25761, 8090, 6825, 519, 18330, 540, 28160, 1436, 1384, 265, 3487, 819, 540, 3127, 543, 9031, 630, 3707, 278, 2567, 11374, 5756, 540, 6560, 1996, 3703, 4341, 267, 3127, 6591, 7115, 538, 476, 3707, 278, 267, 4611, 538, 519, 15652, 540, 519, 1016, 29657, 2059, 3909, 3515, 883, 9699, 2173, 1994, 640, 3127, 543, 7332, 2173, 1994, 640, 9031, 269, 901, 2680, 3788, 835, 540, 519, 1034, 10565, 8320, 540, 28160, 1436, 267, 25967, 1681, 1312, 519, 9153, 543, 829, 559, 2404, 609, 7115, 563, 265, 27988, 1014, 2782, 540, 14412, 630, 4198, 275, 268, 3422, 273, 2567, 5333, 5185, 18979, 4187, 538, 27988, 807, 607, 17137, 10692, 585, 7115, 269, 4460, 539, 676, 22266, 5208, 543, 1480, 2924, 28407, 267, 519, 2112, 6038, 3366, 547, 27988, 807, 781, 7115, 538, 476, 3422, 273, 267, 7231, 513, 4049, 9514, 547, 3943, 31449, 543, 4259, 1055, 513, 5832, 5114, 540, 824, 3979, 6082, 5275, 7115, 563, 265, 22096, 19822, 630, 3422, 271, 268, 3422, 276, 2567, 10374, 569, 1310, 11543, 7115, 689, 19934, 538, 4873, 476, 3422, 271, 267, 519, 14891, 6243, 540, 519, 22096, 32168, 539, 883, 14784, 1813, 547, 4835, 7526, 543, 13779, 689, 5007, 4229, 269, 634, 6433, 12006, 519, 2591, 1082, 9241, 4830, 2829, 5185, 267, 1519, 13313, 267, 4057, 10350, 267, 543, 683, 4377, 11102, 1199, 323, 1782, 780, 4353, 269, 8177, 540, 1546, 3712, 517, 1436, 692, 13356, 20325, 1436, 1185, 7096, 2360, 593, 1312, 519, 19497, 32519, 6082, 543, 519, 2518, 5251, 693, 1804, 1384, 265, 19725, 540, 1715, 13780, 21178, 919, 281, 3683, 2185, 5756, 267, 811, 982, 32210, 1007, 4182, 32145, 7153, 689, 519, 24790, 540, 7810, 23693, 267, 13497, 19249, 519, 23786, 4786, 543, 10962, 4195, 9739, 543, 5380, 5196, 519, 1158, 3942, 269, 1717, 267, 891, 13439, 1417, 2829, 1419, 12066, 1194, 609, 2152, 971, 607, 6710, 267, 16132, 267, 543, 896, 31141, 563, 265, 6348, 25575, 9892, 11873, 281, 27933, 560, 13253, 1063, 519, 2136, 2276, 543, 519, 8168, 5742, 1282, 519, 12019, 2782, 267, 19421, 540, 9241, 4830, 2829, 4646, 519, 6348, 25575, 11220, 11873, 267, 14957, 585, 29591, 543, 12560, 30398, 269, 1635, 6967, 3544, 519, 1625, 1613, 540, 2901, 2706, 12741, 267, 1875, 268, 7955, 539, 6082, 8179, 3152, 13190, 543, 8116, 538, 5935, 2518, 12602, 563, 265, 6820, 3162, 281, 12910, 539, 519, 1412, 17471, 3162, 10086, 5892, 32519, 4525, 1071, 2297, 1027, 1472, 3838, 2833, 543, 4690, 267, 4758, 5639, 547, 7569, 585, 12581, 6041, 267, 4023, 4123, 4507, 267, 543, 2029, 4483, 269, 6736, 9645, 4763, 1369, 713, 1895, 267, 17604, 5280, 24244, 7104, 4145, 543, 21907, 1732, 2474, 1471, 268, 14504, 23724, 2919, 6082, 780, 309, 269, 22627, 547, 7351, 12367, 543, 12983, 692, 9213, 267, 30172, 540, 28160, 1436, 26871, 828, 622, 998, 1585, 3344, 540, 2518, 1894, 543, 3609, 9840, 1384, 265, 4886, 22707, 281, 3509, 2022, 12258, 11102, 2829, 3136, 547, 7048, 593, 1646, 5351, 689, 5449, 7810, 7060, 267, 9870, 2055, 827, 2783, 8017, 7923, 547, 971, 6351, 543, 1761, 22514, 580, 525, 540, 7810, 8186, 1115, 563, 265, 3115, 25730, 281, 2677, 25728, 1218, 540, 20665, 20338, 543, 7087, 9082, 723, 1572, 585, 1065, 25730, 547, 2232, 29886, 23543, 540, 7810, 14226, 543, 7130, 269, 2755, 930, 8044, 602, 2883, 13180, 949, 948, 6439, 1518, 2250, 4636, 338, 267, 1866, 25077, 602, 12572, 17267, 543, 12250, 15024, 3180, 3152, 4644, 563, 265, 8836, 27264, 281, 27557, 547, 8190, 6805, 4529, 543, 4654, 2992, 5571, 9620, 1996, 30566, 545, 7506, 602, 10483, 19525, 269, 3414, 7341, 6322, 693, 26016, 1944, 2757, 1702, 1949, 267, 2950, 11441, 547, 22919, 1852, 936, 741, 12583, 543, 9163, 780, 1103, 3932, 267, 28160, 1436, 13054, 513, 2565, 795, 15802, 538, 14206, 10601, 1686, 267, 16287, 519, 1439, 540, 7810, 23693, 543, 1200, 531, 3429, 519, 12625, 540, 9241, 4830, 2829, 269, 4706, 29298, 8831, 1134, 3564, 519, 7525, 2022, 21351, 5736, 267, 11173, 547, 3337, 4207, 27964, 4478, 1646, 267, 3961, 267, 543, 5126, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4596, 17162, 654, 2752, 2073, 4932, 2207, 294, 9970, 5508, 29375, 302, 31266, 2207, 19154, 8016, 298, 267, 674, 16898, 27633, 19845, 4696, 5058, 9215, 5990, 2910, 17247, 4338, 10345, 5508, 14298, 9654, 4953, 6167, 12778, 263, 2735, 276, 268, 1960, 272, 1070, 6730, 28132, 4932, 303, 3036, 14473, 20796, 17162, 25886, 454, 268, 634, 12019, 2782, 729, 513, 1533, 540, 2797, 543, 4108, 8082, 1310, 2622, 2782, 4083, 1063, 7060, 538, 519, 5375, 2349, 665, 630, 1492, 2136, 2276, 267, 922, 24114, 16167, 543, 1866, 264, 543, 7060, 538, 519, 8109, 2349, 665, 630, 1492, 8168, 5742, 543, 922, 16167, 538, 519, 32160, 623, 716, 1916, 268, 16024, 2103, 723, 711, 4628, 8815, 593, 519, 7389, 267, 855, 476, 3707, 278, 1700, 1960, 272, 568, 1455, 269, 898, 729, 17941, 607, 968, 322, 1245, 892, 1317, 972, 729, 1100, 1804, 8397, 8165, 2047, 1063, 519, 1079, 5011, 267, 4352, 972, 941, 2101, 6237, 10617, 538, 9705, 267, 10476, 543, 15787, 602, 519, 1079, 5011, 6462, 563, 268, 634, 12019, 2782, 8237, 519, 10151, 29053, 19710, 1996, 13303, 5125, 267, 6028, 519, 28268, 543, 519, 2475, 607, 1079, 2706, 335, 10183, 609, 7096, 2804, 543, 2797, 3604, 281, 519, 5449, 1373, 513, 2582, 18407, 31767, 1700, 299, 523, 21442, 1533, 267, 543, 519, 8545, 1373, 513, 24041, 1533, 609, 3622, 1863, 12836, 563, 268, 589, 1582, 3491, 13094, 9243, 1025, 665, 21256, 609, 519, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13356, 20325, 1436, 257, 607, 851, 540, 834, 19615, 1315, 7073, 1315, 476, 736, 628, 11416, 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, 6637, 476, 1015, 281, 12861, 2659, 13574, 7395, 673, 2622, 692, 5331, 19480, 883, 513, 1158, 4904, 609, 9059, 267, 26704, 7068, 267, 543, 12473, 1391, 338, 269, 589, 1747, 1141, 4376, 568, 2009, 256, 2334, 781, 1018, 2679, 707, 1360, 1378, 1164, 14810, 1158, 666, 1745, 899, 269, 1809, 1354, 596, 1376, 11423, 3817, 609, 22645, 543, 27033, 27163, 267, 1577, 781, 1451, 827, 930, 1271, 3344, 540, 2870, 971, 513, 7122, 780, 20058, 267, 1169, 1434, 1650, 2115, 3197, 267, 1318, 286, 4270, 267, 1175, 899, 938, 1483, 1158, 267, 707, 28531, 7706, 786, 991, 1004, 1932, 910, 1498, 789, 1522, 581, 1714, 1407, 267, 546, 8705, 12028, 267, 610, 1256, 6158, 2831, 256, 1452, 3197, 723, 3885, 267, 5321, 267, 6009, 267, 543, 4529, 269, 15154, 827, 782, 891, 3877, 2337, 1118, 707, 1158, 811, 1825, 15344, 543, 15138, 780, 9202, 909, 568, 4259, 269, 7316, 4010, 568, 707, 1650, 2921, 1747, 286, 1772, 621, 538, 513, 10053, 4104, 267, 513, 26009, 7823, 2039, 267, 610, 5310, 896, 519, 4262, 286, 3962, 4087, 814, 922, 2189, 2934, 267, 11317, 267, 543, 2591, 269, 1280, 3236, 267, 513, 9390, 1131, 2693, 723, 1114, 2371, 267, 2831, 267, 543, 7802, 982, 513, 18932, 26570, 269, 5457, 267, 11007, 568, 1883, 1934, 282, 3388, 1058, 3514, 1927, 17396, 569, 780, 3086, 267, 1577, 781, 1865, 1945, 2731, 3579, 910, 681, 8085, 2464, 256, 8786, 267, 3652, 256, 5272, 1158, 5205, 1978, 4031, 267, 2436, 621, 781, 8904, 17444, 1919, 1524, 610, 3781, 1739, 1554, 269, 769, 513, 14810, 1158, 267, 596, 6430, 1346, 3652, 269, 9320, 9059, 6818, 855, 1152, 1568, 693, 2407, 7599, 269, 2107, 6148, 972, 616, 1100, 2168, 4031, 693, 782, 256, 634, 7399, 616, 11995, 269, 3807, 3314, 267, 2899, 596, 1305, 707, 3652, 267, 6529, 547, 873, 865, 602, 707, 3988, 666, 1174, 543, 1246, 2059, 609, 519, 1650, 780, 15563, 267, 2015, 875, 2029, 610, 1412, 17882, 338, 262, 960, 1369, 707, 1158, 269, 6496, 3025, 2951, 676, 7504, 3724, 1317, 6517, 10093, 1405, 1044, 11827, 2943, 286, 2107, 6148, 972, 616, 10760, 15790, 1115, 3079, 540, 27858, 256, 7010, 4125, 1950, 2694, 2324, 1927, 547, 1711, 513, 2898, 269, 1358, 948, 3142, 3178, 543, 6988, 547, 707, 1158, 780, 3719, 7227, 1862, 6011, 798, 649, 917, 952, 938, 9589, 1158, 1568, 286, 901, 851, 666, 1205, 513, 2370, 16602, 2094, 649, 2811, 7231, 609, 16494, 4025, 269, 1717, 267, 835, 1259, 547, 2638, 568, 676, 4152, 621, 856, 269, 3503, 2110, 2984, 1305, 538, 1114, 2127, 540, 707, 1158, 267, 1294, 952, 519, 2609, 2170, 25401, 267, 543, 4188, 9935, 269, 8528, 8855, 267, 2870, 513, 20310, 14810, 1158, 3217, 942, 543, 9639, 269, 5901, 6998, 2055, 267, 1818, 2242, 267, 543, 1034, 11932, 267, 2348, 1187, 256, 2991, 782, 267, 596, 2811, 2679, 707, 1378, 7122, 2439, 12244, 281, 5071, 707, 1378, 14810, 1158, 1210, 519, 3268, 13890, 1657, 269, 3399, 1507, 267, 6148, 609, 513, 2582, 8498, 543, 7930, 4228, 856, 2072, 2394, 596, 723, 606, 3003, 10806, 269, 5213, 1405, 7340, 547, 2671, 707, 13144, 609, 1866, 543, 2307, 585, 5955, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1607, 2022, 8385, 7902, 593, 27262, 22513, 5451, 526, 14162, 13305, 4673, 781, 5816, 966, 698, 7949, 595, 2720, 528, 563, 4263, 519, 1439, 540, 2904, 267, 594, 5795, 513, 6881, 593, 519, 5817, 1949, 543, 2645, 602, 649, 1031, 547, 1020, 519, 3756, 6641, 517, 543, 853, 8681, 539, 538, 14135, 693, 519, 17317, 1116, 12474, 19087, 13186, 1282, 519, 25043, 540, 7913, 10632, 10985, 269, 4107, 540, 519, 824, 1459, 619, 941, 2780, 3744, 267, 607, 1134, 607, 1250, 2828, 269, 4935, 594, 1185, 513, 2186, 5304, 585, 713, 1480, 626, 547, 1459, 519, 1957, 594, 5206, 609, 22176, 322, 774, 1682, 517, 630, 852, 2139, 2228, 1040, 28214, 513, 3787, 540, 519, 16080, 3187, 538, 2474, 540, 4282, 543, 2409, 267, 594, 849, 2283, 539, 519, 2686, 3604, 1063, 741, 1935, 543, 1250, 1378, 269, 769, 2489, 267, 519, 14245, 5059, 593, 10451, 519, 3014, 630, 10175, 9553, 1040, 1548, 594, 1336, 14320, 15534, 729, 513, 4901, 540, 1480, 2188, 281, 616, 891, 3756, 1404, 762, 286, 1215, 1281, 7193, 294, 2981, 875, 649, 1118, 3756, 286, 1215, 1281, 621, 1689, 875, 649, 1404, 873, 888, 763, 13186, 15069, 1185, 513, 2930, 1445, 267, 865, 950, 621, 3357, 547, 2911, 827, 10442, 519, 861, 4614, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 26135, 1315, 4937, 1315, 4400, 26135, 2622, 20671 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5630, 540, 12464, 6840, 269, 1452, 5222, 666, 581, 12290, 676, 7311, 513, 2298, 6361, 3734, 2597, 532, 10325, 1634, 607, 9659, 12035, 269, 901, 666, 948, 547, 10625, 519, 6456, 3790, 540, 1966, 13989, 269, 769, 713, 2013, 267, 513, 6626, 5133, 568, 2877, 547, 2263, 782, 519, 2318, 543, 2942, 5222, 540, 13989, 593, 2486, 269, 2755, 1034, 1004, 12314, 13989, 609, 8732, 16394, 543, 18921, 6191, 267, 621, 666, 581, 1454, 811, 982, 602, 269, 29892, 536, 22857, 267, 11449, 13169, 17914, 267, 543, 1256, 8380, 2724, 593, 5604, 20115, 666, 782, 581, 2808, 3029, 540, 13989, 269, 769, 1840, 267, 2228, 13989, 814, 1831, 513, 2442, 2534, 602, 568, 3656, 538, 1034, 2829, 269, 589, 19976, 1353, 568, 835, 540, 519, 1655, 6272, 585, 4974, 519, 2360, 540, 13989, 593, 2043, 543, 3885, 269, 634, 5413, 540, 513, 19976, 1374, 568, 602, 621, 2636, 3173, 547, 3950, 2242, 936, 513, 1279, 1974, 540, 942, 543, 3313, 519, 1757, 1275, 540, 1346, 2242, 269, 901, 1505, 540, 1382, 568, 849, 811, 1942, 18026, 982, 14335, 1896, 4130, 1239, 5036, 269, 769, 1840, 267, 621, 666, 581, 1031, 547, 2697, 2188, 602, 9793, 543, 22652, 13989, 7589, 269, 898, 666, 849, 948, 547, 2697, 3270, 540, 26739, 269, 898, 666, 849, 581, 1031, 547, 6218, 9354, 5773, 269, 901, 568, 1317, 621, 2337, 547, 10646, 1063, 1114, 1696, 328, 3098, 540, 27690, 13989, 543, 547, 1449, 1007, 7459, 563, 763, 1655, 25877, 814, 1945, 547, 2709, 3025, 267, 689, 513, 7372, 533, 20269, 4055, 547, 513, 838, 320, 269, 1809, 799, 835, 568, 519, 1655, 585, 596, 286, 2334, 5673, 593, 707, 13989, 2511, 267, 875, 1454, 596, 1616, 547, 6108, 267, 543, 2436, 596, 2461, 3168, 585, 513, 1187, 3781, 856, 610, 513, 4960, 547, 3094, 2462, 269, 24664, 1176, 267, 972, 779, 1100, 17732, 540, 8732, 16394, 547, 3442, 689, 267, 1312, 2228, 543, 538, 519, 1483, 1158, 269, 769, 1249, 267, 519, 1775, 294, 5446, 2872, 568, 538, 513, 1533, 540, 5409, 3766, 9512, 267, 543, 1007, 12427, 616, 7683, 10024, 519, 2344, 547, 8597, 547, 1114, 2010, 540, 5716, 269, 19805, 519, 1318, 25877, 585, 596, 568, 782, 827, 10442, 519, 3301, 267, 2039, 540, 3756, 267, 543, 2777, 6316, 547, 3313, 799, 835, 786, 9290, 707, 13989, 2511, 543, 4690, 269, 3973, 596, 991, 547, 1413, 693, 519, 13755, 4926, 543, 3260, 687, 593, 2709, 547, 1118, 2386, 602, 596, 2461, 3478, 519, 1034, 29907, 585, 707, 11369, 269, 1879, 8939, 513, 25877, 267, 621, 779, 1271, 547, 2015, 513, 3099, 540, 2188, 267, 1519, 2436, 519, 25877, 814, 513, 1434, 10639, 543, 568, 2922, 547, 1404, 693, 269, 901, 2882, 10992, 922, 24416, 267, 3354, 2934, 267, 543, 6075, 3028, 269, 1411, 666, 849, 2638, 856, 8039, 543, 16499, 517, 10118, 547, 1294, 875, 824, 5716, 723, 15951, 519, 3135, 269, 7053, 267, 621, 779, 1271, 547, 917, 602, 13989, 568, 711, 585, 3025, 543, 596, 1058, 581, 3222, 540, 707, 7182, 269, 2290, 540, 519, 1655, 2081, 547, 1449, 513, 25877, 568, 547, 1129, 909, 585, 513, 1863, 2272, 269, 4107, 540, 519, 1655, 2228, 8732, 16394, 2709, 713, 267, 543, 621, 779, 513, 1390, 1259, 547, 2119, 856, 930, 3756, 1354, 7836, 1022, 2724, 269, 1411, 666, 1256, 1491, 5413, 540, 519, 10950, 22429, 267, 799, 666, 9062, 707, 3355, 16005, 2179, 543, 2285, 596, 3063, 30809, 547, 2119, 856, 519, 27061, 269, 2368, 540, 519, 1655, 25877, 4609, 723, 513, 2603, 540, 1114, 5686, 540, 3756, 543, 616, 1360, 2653, 547, 6330, 269, 1358, 849, 723, 1082, 8569, 3681, 267, 1519, 5491, 6486, 543, 552, 2914, 24548, 269, 769, 1840, 547, 5356, 513, 1804, 1297, 540, 25877, 3756, 267, 930, 540, 891, 4609, 849, 4183, 2661, 31066, 3756, 269, 2368, 540, 519, 1283, 25877, 7270, 723, 513, 1434, 1297, 540, 6075, 1489, 5234, 543, 616, 2139, 1472, 519, 9219, 269, 13689, 593, 1141, 596, 2461, 4092, 267, 972, 949, 581, 9993, 593, 519, 25877, 4609, 602, 616, 2139, 547, 596, 269, 769, 1840, 547, 10992, 856, 519, 27121, 543, 6042, 540, 519, 25877, 267, 621, 779, 849, 513, 1434, 2856, 547, 1224, 519, 2474, 543, 2175, 5402, 269, 901, 786, 948, 596, 2057, 1022, 26208, 1524, 519, 4155, 269, 2755, 30988, 4991, 1034, 540, 519, 3007, 950, 621, 2501, 547, 8732, 16394, 267, 972, 616, 7899, 540, 824, 1390, 4025, 547, 13708, 1076, 538, 3013, 269, 32695, 25529, 267, 585, 1383, 267, 568, 513, 9050, 5937, 3554, 1180, 25877, 538, 8857, 1206, 23014, 602, 779, 9846, 20366, 519, 1655, 538, 14151, 269, 898, 814, 513, 5458, 533, 20269, 4055, 267, 936, 476, 2004, 3349, 3756, 267, 543, 811, 982, 476, 272, 267, 6110, 18921, 6191, 269, 898, 849, 814, 513, 838, 320, 267, 1079, 17075, 6030, 267, 12473, 7535, 6105, 267, 543, 1164, 15134, 10918, 269, 634, 13852, 698, 1470, 568, 1776, 30988, 1590, 268, 5408, 269, 898, 779, 519, 1034, 29413, 25877, 593, 634, 853, 8692, 267, 543, 621, 779, 4583, 585, 922, 1216, 32446, 267, 11255, 27386, 11122, 2218, 267, 543, 5863, 13989, 6989, 563, 15697, 13989, 568, 513, 2442, 2250, 830, 602, 666, 581, 2944, 689, 519, 4313, 540, 707, 1753, 610, 1247, 593, 519, 979, 269, 2353, 596, 991, 568, 513, 2780, 610, 5985, 3926, 609, 606, 4950, 4276, 543, 596, 666, 1404, 707, 5172, 25877, 3756, 267, 1747, 914, 338, 593, 5026, 2621, 267, 543, 811, 269, 1703, 616, 1082, 2640, 547, 2228, 13989, 267, 855, 621, 568, 1271, 547, 4063, 602, 621, 666, 1291, 547, 8213, 952, 596, 2461, 711, 6297, 269, 634, 7887, 4324, 540, 2228, 13989, 568, 13418, 269, 1411, 666, 13708, 1076, 689, 519, 4313, 540, 707, 1378, 1753, 267, 5604, 610, 1256, 11547, 3336, 267, 543, 596, 666, 798, 621, 693, 1022, 942, 540, 1554, 610, 3781, 269, 1411, 666, 849, 914, 689, 1022, 2197, 538, 519, 1158, 267, 1818, 621, 811, 10375, 982, 10707, 547, 513, 2244, 2861, 25877, 610, 1433, 20447, 269, 5047, 267, 596, 666, 13708, 1076, 609, 707, 1378, 9304, 267, 14874, 519, 1981, 540, 5385, 3928, 543, 4871, 12375, 269, 6271, 5413, 540, 2228, 13989, 568, 602, 621, 779, 3656, 538, 1034, 2477, 269, 898, 779, 1271, 547, 4063, 267, 2705, 267, 602, 930, 2477, 1869, 2015, 13989, 513, 21556, 540, 1876, 267, 865, 596, 949, 2196, 883, 2152, 609, 8492, 602, 20549, 547, 1184, 707, 8852, 269, 901, 666, 581, 513, 2462, 1966, 585, 1004, 945, 616, 3168, 547, 946, 741, 3094, 11789, 607, 1483, 6666, 269, 32573, 1782, 666, 581, 513, 1390, 1259, 547, 2087, 707, 1582, 12635, 543, 6015, 269, 898, 666, 849, 948, 596, 1451, 547, 13404, 543, 1589, 21176, 269, 898, 666, 849, 4001, 596, 547, 5544, 543, 6218, 1239, 3270, 269, 1452, 1983, 666, 948, 596, 538, 707, 4876, 543, 2123, 1272, 269, 1717, 267, 621, 779, 1271, 547, 3314, 602, 13989, 568, 711, 513, 10826, 585, 4965, 543, 4160, 269, 2290, 540, 519, 1034, 1455, 2042, 609, 13989, 568, 9561, 1852, 543, 31743, 513, 3094, 269, 901, 666, 3362, 1291, 547, 2883, 25010, 269, 1677, 2061, 713, 267, 621, 779, 1271, 547, 1305, 7182, 585, 707, 9271, 543, 6529, 547, 873, 269, 1411, 1058, 849, 2057, 13989, 952, 596, 2461, 593, 513, 9395, 6578, 269, 898, 779, 849, 513, 1434, 2856, 547, 946, 606, 552, 2914, 531, 2280, 267, 799, 2488, 3152, 3354, 585, 707, 2724, 982, 2757, 4871, 6589, 269, 1411, 666, 6895, 707, 2272, 2534, 543, 1118, 2386, 602, 1100, 18977, 8852, 616, 1500, 269, 4635, 2178, 18538, 543, 7175, 1079, 29969, 17452, 666, 849, 948, 2149, 707, 2272, 1996, 28892, 269, 1703, 616, 1082, 1114, 2010, 540, 2228, 13989, 4609, 267, 1519, 2228, 8732, 16394, 267, 5026, 25919, 4609, 267, 543, 1514, 11080, 4609, 269, 1452, 5867, 1683, 513, 3099, 540, 2934, 267, 1519, 16005, 543, 15639, 2409, 267, 13755, 4926, 267, 543, 12587, 3292, 269, 769, 1840, 267, 930, 2709, 5150, 14238, 2029, 602, 2337, 547, 2149, 707, 7834, 269, 1403, 596, 2461, 3206, 540, 3843, 856, 606, 2228, 25877, 267, 621, 779, 1271, 547, 1382, 519, 3135, 779, 10639, 543, 3354, 3800, 1354, 11578, 532, 269, 4746, 267, 2638, 2436, 707, 2197, 779, 2229, 21560, 891, 4609, 269, 1403, 711, 267, 596, 949, 3068, 3978, 4539, 952, 596, 2461, 9575, 563, 288, 25877, 568, 513, 1747, 1141, 13989, 3217, 1747, 543, 519, 5354, 540, 519, 12434, 616, 1500, 689, 3756, 540, 4960, 269, 2755, 513, 25877, 1522, 1331, 1082, 824, 29319, 899, 6305, 18226, 543, 6704, 6703, 607, 1134, 607, 2773, 28503, 1141, 2442, 4224, 267, 1402, 267, 15690, 543, 824, 5159, 2097, 547, 1404, 267, 621, 9327, 1406, 2291, 1510, 519, 3756, 602, 4482, 519, 24921, 269, 6215, 582, 6191, 267, 3109, 329, 871, 267, 13193, 30592, 543, 824, 2442, 3756, 1683, 519, 17542, 540, 9489, 538, 12434, 602, 8732, 16394, 986, 651, 538, 1142, 1032, 269, 769, 519, 4098, 267, 3656, 8732, 16394, 941, 2196, 676, 16048, 1870, 5443, 855, 267, 607, 789, 8057, 267, 4254, 3122, 2724, 3323, 547, 2095, 883, 873, 543, 519, 544, 2378, 807, 3576, 936, 930, 540, 519, 11080, 24284, 538, 11412, 334, 543, 20098, 30988, 269, 634, 4254, 3122, 2724, 5280, 519, 8732, 16394, 547, 1832, 741, 1350, 527, 5414, 608, 614, 12542, 543, 3063, 341, 698, 656, 9913, 2982, 855, 267, 693, 519, 1482, 942, 267, 4847, 873, 547, 970, 677, 2724, 689, 741, 29123, 269, 634, 4254, 9094, 849, 6766, 519, 2164, 540, 1978, 3756, 267, 536, 1026, 539, 25877, 8387, 543, 1256, 3576, 936, 519, 9562, 540, 930, 540, 519, 8732, 16394, 269, 32573, 1782, 568, 513, 3014, 540, 12918, 543, 621, 568, 1271, 547, 3314, 602, 267, 538, 519, 1439, 267, 519, 2777, 2141, 17993, 269, 1703, 616, 513, 1297, 540, 3710, 2987, 5383, 602, 2327, 602, 513, 25877, 786, 1118, 513, 7443, 267, 543, 621, 568, 1360, 4686, 585, 513, 25877, 547, 6336, 2724, 593, 1022, 2016, 1554, 269, 901, 5691, 22059, 540, 14407, 7443, 2636, 519, 8732, 16394, 547, 2709, 1804, 914, 339, 832, 7199, 16578, 906, 971, 607, 1863, 20498, 9913, 267, 1929, 334, 3028, 267, 543, 15678, 11623, 269, 9540, 518, 914, 339, 832, 616, 6035, 4389, 1922, 732, 6283, 267, 1863, 10425, 1247, 4730, 543, 735, 539, 6980, 269, 634, 8732, 16394, 849, 3142, 538, 513, 8101, 2179, 540, 3454, 8907, 547, 519, 2199, 2950, 267, 799, 568, 1031, 547, 948, 2628, 585, 1857, 2533, 543, 5989, 3785, 269, 901, 814, 1044, 2523, 6225, 585, 519, 2127, 4478, 519, 8732, 16394, 267, 799, 1522, 723, 6382, 1185, 547, 2759, 1394, 593, 2533, 610, 2333, 9204, 538, 824, 4025, 547, 1118, 909, 519, 3017, 269, 769, 1840, 267, 519, 25877, 779, 4600, 849, 1118, 513, 1713, 9295, 547, 519, 2146, 269, 1306, 519, 8560, 540, 13989, 5170, 547, 1332, 267, 1082, 1007, 2010, 540, 3756, 616, 1373, 2919, 543, 811, 1004, 616, 2111, 547, 7119, 538, 519, 10761, 269, 1280, 1383, 267, 1514, 11080, 5867, 899, 2997, 328, 1807, 1450, 5716, 547, 2170, 609, 824, 5716, 543, 2671, 741, 2833, 1247, 4730, 519, 3014, 269, 901, 666, 581, 513, 1390, 1259, 547, 2743, 1007, 1004, 1247, 11981, 707, 5172, 25877, 3756, 269, 19805, 519, 1655, 942, 547, 3643, 513, 25877, 5673, 593, 707, 2123, 7375, 543, 875, 596, 8910, 899, 547, 13708, 1076, 269, 1280, 930, 267, 32300, 616, 513, 1732, 4781, 1317, 519, 13989, 31508, 616, 2356, 1668, 1512, 543, 596, 3580, 723, 811, 8458, 547, 2170, 609, 824, 5716, 269, 2201, 519, 824, 1688, 267, 952, 596, 4782, 547, 581, 811, 5059, 543, 2057, 19240, 267, 3018, 17058, 1522, 581, 513, 1732, 3903, 585, 596, 269, 769, 1249, 267, 930, 540, 519, 1655, 8732, 16394, 2228, 2709, 741, 5716, 513, 3018, 1485, 22429, 865, 602, 789, 666, 2119, 856, 741, 3756, 1282, 713, 26982, 2678, 1974, 269, 901, 568, 513, 1390, 1259, 547, 1449, 856, 519, 3135, 543, 1294, 2436, 621, 568, 1318, 585, 596, 563, 303, 20269, 568, 513, 3556, 3014, 538, 799, 5716, 1118, 914, 338, 676, 11093, 13365, 883, 519, 1494, 267, 609, 519, 5207, 8573, 21403, 1688, 10888, 519, 1494, 693, 519, 1439, 540, 1142, 25919, 5180, 269, 898, 568, 5129, 609, 513, 3044, 476, 7367, 2275, 731, 16064, 543, 666, 581, 9168, 676, 4946, 3552, 6486, 610, 3063, 3652, 269, 9521, 824, 3756, 267, 533, 20269, 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 ]
[ 875, 621, 1522, 1860, 741, 2729, 1282, 543, 1310, 2126, 563, 26170, 267, 649, 917, 930, 2550, 1745, 8401, 6998, 2055, 827, 741, 2860, 3797, 269, 769, 513, 2262, 281, 5213, 1406, 269, 1306, 6362, 2055, 2337, 707, 7189, 1683, 519, 1655, 1416, 563, 20238, 2747, 32346, 5505, 693, 519, 29031, 3162, 13523, 29733, 595, 269, 3244, 332, 976, 9435, 4741, 616, 3401, 538, 519, 2361, 267, 10647, 1382, 2090, 543, 21722, 4359, 5982, 2553, 971, 607, 8305, 582, 12519, 705, 331, 894, 2234, 23956, 630, 6347, 321, 305, 1070, 2909, 16408, 1492, 2805, 267, 543, 3209, 10659, 540, 2234, 23956, 609, 18068, 563, 2171, 2461, 2141, 6126, 547, 2671, 519, 1034, 1699, 5982, 1702, 609, 938, 2550, 269, 1924, 267, 1934, 616, 4267, 547, 2947, 540, 519, 1034, 1455, 2055, 2550, 723, 1767, 789, 941, 8401, 547, 2307, 1107, 855, 941, 19914, 789, 1705, 563, 12749, 5982, 3797, 2055, 543, 4267, 454, 272, 269, 4024, 594, 581, 14599, 1282, 610, 1310, 2126, 888, 5278, 2550, 5855, 602, 18460, 5982, 3797, 666, 581, 5739, 547, 1866, 1317, 789, 616, 14599, 269, 1280, 1383, 267, 2550, 3006, 1589, 789, 666, 1405, 524, 3291, 548, 609, 741, 7649, 610, 3180, 513, 6264, 18876, 593, 741, 22272, 2394, 1310, 2126, 269, 1717, 267, 1034, 2550, 1810, 1406, 991, 547, 5855, 827, 1373, 14599, 563, 2750, 4156, 11237, 5982, 3797, 568, 519, 1034, 1455, 1826, 540, 2126, 267, 543, 3020, 547, 922, 2012, 267, 621, 20205, 5982, 689, 513, 2707, 3544, 519, 1560, 269, 2060, 713, 1935, 267, 596, 1810, 1406, 991, 547, 5855, 827, 3346, 609, 1920, 2818, 610, 824, 1004, 596, 7237, 269, 4495, 596, 2461, 8737, 538, 519, 2126, 4055, 267, 972, 568, 1100, 811, 5982, 1373, 9447, 543, 596, 616, 711, 14599, 563, 4415, 4835, 5982, 3797, 630, 3630, 16408, 1492, 2805, 1070, 707, 5982, 32346, 6048, 786, 1747, 513, 1507, 5982, 2707, 3330, 519, 1560, 269, 2290, 1383, 568, 519, 946, 540, 14599, 19273, 5116, 3330, 519, 17150, 547, 5838, 5982, 3797, 585, 17150, 2860, 563, 16665, 2542, 281, 6164, 532, 17150, 2860, 609, 5982, 454, 2690, 930, 2010, 540, 5574, 17941, 1164, 1673, 846, 2557, 630, 8461, 305, 264, 2909, 16408, 1492, 2805, 267, 519, 2707, 3788, 538, 1747, 585, 513, 1906, 3764, 693, 513, 942, 543, 568, 6569, 2899, 596, 4734, 519, 5650, 4055, 1107, 596, 616, 711, 14599, 538, 891, 7653, 563, 2690, 824, 2010, 540, 5574, 17941, 1970, 9570, 2557, 630, 299, 11403, 264, 2909, 16408, 1492, 2805, 267, 519, 2707, 3788, 18385, 269, 1452, 2959, 2611, 3742, 538, 519, 1560, 585, 1082, 4374, 630, 663, 3476, 538, 930, 2665, 1070, 855, 519, 5982, 19501, 568, 865, 1970, 602, 972, 568, 513, 30050, 1981, 547, 1866, 269, 1717, 267, 547, 581, 3063, 18762, 267, 2550, 616, 15695, 547, 2057, 2673, 3346, 609, 1453, 543, 9176, 2021, 585, 909, 547, 1079, 3275, 563, 273, 269, 4024, 5982, 2126, 2800, 1250, 4761, 1062, 888, 20238, 2747, 3797, 666, 5732, 1860, 707, 4761, 1062, 267, 2523, 952, 513, 1713, 2179, 540, 5642, 20768, 568, 1373, 23735, 7007, 1317, 540, 922, 1909, 538, 2870, 3043, 1973, 2281, 269, 1717, 267, 713, 3085, 1406, 3335, 16401, 519, 4761, 1062, 2614, 547, 1118, 596, 811, 11630, 547, 5563, 563, 26807, 2010, 540, 18068, 723, 513, 2362, 10171, 540, 4929, 6375, 657, 6269, 1833, 269, 1403, 707, 2126, 1544, 2882, 18068, 543, 5982, 3797, 267, 2911, 609, 707, 4387, 827, 2436, 596, 991, 547, 1491, 2027, 15416, 610, 723, 3606, 2978, 960, 547, 6895, 707, 4761, 1062, 1282, 2126, 563, 274, 269, 9701, 594, 1491, 1022, 9360, 610, 8324, 1282, 2126, 888, 1103, 1034, 2665, 267, 1100, 269, 24658, 3797, 12958, 6675, 1572, 1863, 18119, 602, 6146, 2860, 2281, 267, 543, 5135, 568, 2838, 538, 713, 1184, 269, 5221, 1082, 8324, 543, 9360, 1331, 14434, 267, 799, 3970, 519, 2179, 540, 5135, 538, 5160, 543, 8219, 267, 789, 1223, 5732, 6175, 5982, 779, 7145, 563, 1692, 1279, 1281, 621, 1491, 547, 9156, 689, 5982, 2126, 286, 763, 2489, 2360, 540, 5982, 3797, 899, 9854, 267, 15353, 267, 543, 14331, 8207, 9425, 3533, 1310, 2126, 269, 2659, 1560, 1175, 2115, 942, 547, 1184, 519, 5982, 855, 666, 9156, 1369, 513, 1906, 4374, 269, 5548, 26359, 2427, 2360, 540, 5982, 3797, 267, 593, 519, 824, 1688, 267, 949, 2154, 2417, 2126, 547, 13468, 11482, 1057, 2991, 24658, 10657, 910, 9435, 7027, 29517, 454, 2690, 1034, 1004, 267, 519, 2860, 1995, 3085, 1406, 1439, 593, 519, 2063, 1554, 540, 5982, 3797, 269, 24658, 3797, 2356, 1281, 711, 723, 606, 7525, 1198, 267, 543, 621, 1223, 1491, 2395, 267, 4374, 610, 3275, 547, 1294, 1022, 1689, 538, 519, 2860, 269, 634, 2860, 2281, 949, 1287, 1832, 12955, 585, 4374, 610, 3275, 1310, 519, 1439, 540, 2126, 269, 898, 949, 581, 930, 942, 1354, 596, 917, 2436, 519, 5982, 3797, 814, 6417, 519, 2860, 563, 9596, 811, 827, 912, 1432, 4523, 1310, 2126, 26088, 888, 5475, 5982, 3797, 814, 8737, 267, 707, 2126, 2319, 786, 2285, 596, 2489, 1344, 827, 707, 6051, 269, 1358, 786, 2995, 596, 875, 547, 1413, 1310, 519, 2126, 1858, 543, 4363, 2081, 547, 4383, 2427, 2360, 269, 1358, 786, 849, 2303, 945, 547, 1289, 952, 596, 723, 1022, 4145, 563, 16908, 1310, 2860, 2126, 666, 1459, 922, 1378, 2591, 269, 1411, 949, 723, 6404, 4606, 950, 2126, 7475, 267, 543, 5855, 602, 1169, 31199, 543, 1928, 1797, 519, 2860, 568, 4947, 1394, 563, 5278, 1004, 2161, 602, 789, 1745, 2604, 547, 2132, 547, 968, 7538, 1272, 6100, 898, 568, 1271, 547, 1450, 3054, 942, 547, 4188, 547, 519, 2168, 543, 3929, 2242, 267, 543, 3715, 513, 1007, 3232, 6296, 693, 707, 1378, 10605, 269, 2659, 1920, 543, 2828, 949, 849, 991, 942, 547, 4188, 563, 4692, 1356, 7027, 476, 1724, 476, 1556, 476, 736, 666, 948, 596, 1921, 609, 824, 1004, 945, 723, 1185, 2860, 267, 543, 1683, 596, 609, 1344, 827, 519, 3929, 543, 4052, 3344, 540, 2713, 1134, 1310, 2860, 563, 2690, 811, 593, 713, 267, 1294, 12389, 1134, 1310, 2860, 563, 2791, 786, 723, 2834, 2638, 13522, 609, 519, 5982, 32346, 6048, 693, 519, 2126, 8998, 269, 1452, 786, 1831, 1447, 7928, 936, 942, 563, 2791, 949, 849, 723, 1246, 5346, 20499, 609, 11923, 689, 707, 2126, 8998, 547, 948, 4383, 1022, 5571, 2589, 267, 607, 1134, 607, 2834, 2638, 13522, 609, 824, 12665, 945, 723, 1044, 3238, 538, 707, 2126, 269, 1411, 786, 4309, 4797, 1489, 689, 24027, 1072, 4648, 267, 971, 607, 513, 4633, 2619, 6048, 610, 2732, 23790, 267, 952, 596, 991, 621, 563, 2691, 513, 1246, 5346, 13393, 610, 1449, 568, 16042, 267, 1082, 1004, 1265, 602, 789, 1589, 811, 827, 519, 2860, 543, 949, 1745, 14221, 269, 13185, 547, 707, 2126, 2319, 610, 1289, 9435, 7027, 476, 1724, 476, 1556, 476, 736, 952, 596, 616, 4466, 621, 2182, 547, 4383, 713, 4160, 563, 4131, 707, 2126, 2319, 917, 5612, 540, 1022, 1072, 2042, 1063, 891, 1246, 5346, 20499, 269, 3509, 540, 519, 1279, 3856, 610, 3735, 2360, 540, 5982, 3797, 666, 581, 7307, 1732, 952, 4857, 2038, 563, 2252, 596, 723, 4797, 4606, 540, 18354, 267, 723, 8373, 3478, 909, 538, 519, 6640, 610, 723, 4503, 8404, 547, 798, 1919, 602, 5892, 5795, 596, 12257, 267, 596, 949, 581, 7680, 4965, 269, 901, 568, 3833, 1455, 1851, 1004, 945, 723, 1185, 2860, 563, 307, 1779, 547, 707, 13382, 267, 607, 5646, 18522, 610, 6646, 1107, 1256, 585, 513, 2110, 942, 1107, 949, 948, 269, 2368, 1004, 666, 1205, 513, 24310, 6450, 622, 585, 7886, 609, 513, 18673, 269, 9105, 707, 4387, 952, 596, 616, 14718, 269, 9435, 7027, 949, 849, 2196, 513, 5646, 18522, 1982, 538, 707, 1858, 563, 2690, 1344, 827, 12003, 609, 4965, 543, 4160, 267, 1289, 3564, 19990, 593, 476, 9873, 271, 476, 2420, 476, 5379, 476, 3607, 269, 1280, 476, 2190, 16923, 6433, 1489, 267, 1289, 17151, 5202, 593, 476, 1724, 476, 1556, 476, 1691, 563, 4692, 1411, 18984, 633, 9435, 7466, 286, 10666, 476, 3445, 2600, 540, 1346, 609, 715, 617, 983, 26379, 32095, 326, 7219, 779, 28623, 7639, 543, 616, 2693, 23174, 3267, 1261, 3085, 1406, 723, 513, 642, 1513, 640, 3094, 593, 1010, 16056, 267, 855, 646, 779, 7466, 29041, 2860, 11482, 756, 1068, 344, 22617, 2401, 3627, 3502, 3832, 344, 8120, 547, 519, 1319, 1310, 7466, 25588, 2860, 454, 1432, 547, 2503, 1282, 543, 1310, 5982, 5574, 286, 20238, 2747, 28144, 4345, 269, 1403, 519, 5982, 14796, 519, 16298, 540, 519, 15485, 267, 5982, 28144, 4345, 666, 581, 513, 1279, 3856, 1966, 602, 3123, 1973, 538, 519, 10729, 610, 1928, 950, 8429, 10729, 269, 21589, 2435, 538, 11666, 775, 269, 3267, 293, 626, 10358, 269, 3267, 1432, 547, 21673, 4438, 24658, 10657, 454, 25594, 2542, 2630, 547, 1451, 811, 827, 1018, 786, 4755, 1282, 707, 5982, 2126, 585, 2860, 610, 7914, 2047, 547, 519, 3296, 602, 4690, 596, 519, 1034, 676, 14467, 593, 835, 540, 519, 2055, 912, 1432, 666, 594, 2503, 693, 1250, 1101, 5982, 2126, 13393, 888, 1432, 547, 2503, 1282, 5982, 2126, 585, 2860, 5673, 593, 2436, 596, 616, 2348, 5007, 11237, 5982, 3797, 610, 4835, 5982, 3797, 267, 849, 1572, 1164, 1673, 846, 268, 3433, 630, 8461, 305, 264, 2909, 16408, 1492, 2805, 563, 7312, 1101, 5982, 3797, 13393, 4465, 1406, 1331, 1022, 4890, 5982, 3797, 269, 5502, 267, 596, 3580, 2097, 538, 585, 513, 11632, 11571, 267, 799, 568, 1031, 547, 948, 1544, 707, 5982, 3797, 269, 1411, 786, 581, 17479, 607, 596, 1131, 1282, 2126, 2443, 2356, 14084, 6366, 593, 707, 1394, 2443, 543, 18767, 786, 581, 3144, 540, 519, 1858, 540, 519, 1560, 602, 786, 581, 5701, 269, 1411, 849, 786, 723, 6263, 8628, 7436, 630, 27271, 5219, 547, 607, 968, 339, 16201, 657, 892, 4352, 789, 1413, 811, 899, 513, 1954, 1188, 548, 264, 602, 786, 3391, 519, 13389, 540, 519, 5982, 3797, 1282, 2126, 269, 901, 13393, 3217, 827, 476, 1789, 3764, 563, 2691, 786, 594, 1376, 3478, 5982, 3797, 888, 5475, 596, 4734, 707, 1101, 13393, 609, 707, 5982, 32346, 6048, 267, 789, 786, 946, 707, 18767, 547, 4786, 856, 519, 3169, 4087, 540, 519, 2860, 1369, 707, 1560, 607, 1134, 607, 15663, 519, 4087, 540, 1022, 4478, 2635, 8219, 602, 991, 547, 581, 14284, 1282, 2126, 269, 8950, 9781, 568, 1287, 1031, 547, 18082, 519, 9570, 540, 5982, 602, 786, 581, 9447, 547, 519, 10510, 1282, 2126, 267, 543, 519, 2203, 568, 12649, 1354, 707, 2126, 5956, 269, 901, 1184, 666, 1491, 909, 547, 1079, 4374, 1354, 596, 2132, 585, 707, 1101, 4890, 5982, 3797, 2126, 563, 2691, 707, 2126, 1544, 568, 2919, 267, 621, 786, 7291, 2436, 596, 786, 581, 8391, 5982, 3797, 1354, 267, 1282, 267, 610, 1310, 824, 5574, 269, 4495, 596, 616, 4712, 547, 2253, 5982, 3797, 267, 596, 666, 2356, 581, 2938, 1369, 835, 547, 1079, 2395, 693, 27743, 13738, 2052, 6203, 15544, 563, 1432, 666, 594, 2503, 952, 594, 993, 8391, 5007, 11237, 5982, 3797, 888, 2750, 4156, 11237, 5982, 2126, 585, 2860, 568, 3335, 13950, 1169, 1554, 267, 11728, 998, 11016, 267, 585, 2947, 547, 5216, 4374, 269, 6168, 1079, 4374, 1310, 707, 1101, 5982, 3797, 13393, 950, 596, 723, 519, 11191, 11571, 267, 596, 3580, 2253, 707, 5574, 563, 10376, 3643, 786, 581, 5266, 2110, 267, 9434, 1063, 476, 1428, 543, 476, 1789, 3764, 269, 4107, 540, 602, 942, 786, 581, 6170, 14084, 593, 513, 3349, 1247, 519, 5982, 13309, 4991, 519, 3937, 1305, 909, 1472, 596, 563, 4263, 27743, 13738, 9435, 15544, 267, 649, 8415, 3239, 28621, 3660, 5982, 3797, 267, 610, 594, 16165, 307, 269, 4438, 1142, 3643, 267, 1007, 2473, 17530, 610, 1970, 1673, 846, 11632, 18767, 540, 707, 1560, 786, 581, 1500, 543, 3379, 609, 519, 3355, 11571, 547, 3313, 952, 519, 10510, 814, 6410, 2443, 1256, 676, 1175, 513, 4552, 779, 3845, 2443, 543, 519, 5982, 568, 14661, 9935, 563, 5978, 13121, 22015, 2077, 2638, 543, 26215, 622, 938, 3937, 3232, 543, 519, 3937, 786, 711, 2196, 952, 621, 568, 711, 26215, 730, 7157, 269, 2353, 540, 713, 568, 2944, 547, 2327, 707, 3106, 543, 519, 7145, 540, 2126, 563, 2791, 786, 581, 4280, 547, 9114, 1869, 585, 519, 4890, 2126, 267, 799, 786, 2063, 1152, 513, 1906, 3764, 269, 634, 2126, 3294, 568, 1928, 1652, 543, 568, 2147, 547, 3478, 606, 2473, 11920, 269, 1411, 949, 5873, 14467, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 476, 272, 2081, 563, 5591, 269, 540, 2081, 547, 3442, 476, 275, 2021, 856, 540, 476, 276, 568, 476, 276, 290, 275, 563, 10831, 540, 2081, 540, 7446, 476, 273, 2367, 543, 476, 275, 2021, 815, 630, 279, 290, 273, 910, 476, 272, 31618, 276, 290, 275, 264, 815, 476, 2767, 265, 276, 815, 476, 13670, 692, 19111, 476, 273, 281, 476, 274, 2367, 267, 476, 274, 2021, 454, 5591, 540, 2081, 547, 3442, 476, 274, 2367, 856, 540, 476, 279, 568, 476, 279, 290, 274, 269, 3143, 540, 2081, 547, 3442, 1346, 1079, 2367, 1927, 568, 476, 277, 290, 272, 630, 2791, 3442, 873, 543, 3442, 835, 811, 547, 1118, 476, 274, 1040, 1924, 2367, 666, 581, 6074, 538, 476, 279, 290, 274, 910, 476, 277, 290, 272, 2081, 563, 5591, 540, 2081, 547, 3442, 476, 274, 2021, 856, 540, 476, 276, 568, 476, 276, 290, 274, 563, 10831, 540, 2081, 540, 7446, 476, 274, 2367, 543, 476, 274, 2021, 815, 630, 279, 290, 274, 910, 476, 277, 290, 272, 31618, 276, 290, 274, 264, 815, 476, 4335, 692, 13707, 1297, 540, 2081, 815, 476, 13670, 1341, 476, 4335, 815, 476, 277, 3374, 692, 19111, 476, 273, 281, 476, 274, 2367, 267, 476, 274, 2021, 994, 6303, 318, 692, 298, 541, 880, 2742, 454, 19723, 26320, 16721, 1923, 17918, 26189, 528, 454, 7069, 18248, 692, 7476, 3323, 609, 7638, 26320, 16721, 17918, 2201, 24637, 585, 1269, 1960, 7638, 26320, 16721, 17352, 7638, 26320, 16721, 17918, 26189, 528, 11835, 1441, 281, 476, 1626, 4239, 476, 1001, 271, 24762, 281, 476, 278, 1321, 276, 19715, 281, 623, 2317, 267, 3127, 7427, 619, 281, 476, 22659, 278, 918, 16997, 19560, 476, 15793, 10463, 1496, 274, 316, 2073, 2016, 281, 476, 19442, 1234, 281, 2155, 924, 324, 1496, 258, 21529, 316, 12693, 8058, 16193, 476, 2537, 7325, 476, 1001, 273, 267, 476, 2641, 281, 2420, 476, 274, 901, 2022, 4607, 918, 11070, 5308, 16869, 781, 2022, 9904, 320, 11277, 275, 5206, 281, 19850, 645, 684, 3241, 267, 590, 13446, 594, 993, 538, 519, 1482, 3786, 607, 589, 24128, 269, 594, 993, 3843, 1079, 31363, 6236, 602, 594, 666, 4584, 476, 273, 2367, 267, 476, 274, 2021, 267, 543, 476, 272, 540, 519, 6967, 267, 3079, 540, 2348, 547, 2736, 621, 883, 1079, 7653, 540, 630, 273, 9093, 267, 476, 275, 6468, 264, 543, 630, 274, 9093, 267, 476, 275, 6468, 264, 18467, 547, 8359, 476, 277, 2818, 12233, 1510, 19231, 281, 3230, 290, 317, 273, 318, 279, 265, 290, 317, 274, 318, 276, 265, 290, 317, 272, 318, 279, 815, 23470, 271, 2330, 1548, 594, 993, 3257, 4636, 538, 519, 1505, 1657, 286, 634, 1079, 1058, 2285, 519, 1482, 1297, 269, 2142, 6297, 950, 596, 798, 711, 723, 547, 6582, 519, 1004, 855, 991, 547, 3442, 2789, 2053, 689, 519, 1482, 1895, 269, 17166, 267, 594, 1616, 547, 1118, 513, 2319, 540, 476, 273, 1004, 689, 513, 1895, 540, 476, 275, 630, 288, 267, 645, 267, 595, 267, 667, 1040, 769, 875, 1082, 2081, 666, 594, 798, 621, 286, 6396, 272, 281, 476, 275, 290, 273, 815, 476, 277, 630, 5723, 267, 7460, 267, 7131, 267, 8028, 267, 5084, 267, 30183, 264, 6396, 476, 273, 281, 1403, 3079, 267, 594, 2824, 476, 272, 543, 1287, 1776, 267, 713, 568, 875, 594, 786, 798, 621, 281, 476, 275, 290, 272, 2608, 476, 274, 290, 272, 815, 476, 1321, 630, 5723, 267, 22601, 267, 8028, 267, 11404, 1862, 264, 769, 519, 2034, 2013, 267, 594, 723, 11231, 519, 476, 273, 1004, 538, 476, 273, 2081, 269, 594, 1101, 2824, 589, 543, 1287, 645, 538, 835, 2013, 269, 594, 1101, 2824, 645, 543, 1287, 589, 538, 1776, 2013, 269, 1809, 513, 2319, 3085, 1405, 991, 11460, 267, 621, 1152, 2115, 5542, 269, 9747, 267, 519, 2034, 1505, 568, 11234, 269, 6684, 267, 538, 713, 2243, 267, 596, 991, 547, 1118, 513, 12233, 1775, 4318, 269, 1152, 2824, 267, 711, 6582, 269, 1879, 596, 4584, 476, 273, 2367, 267, 476, 274, 2021, 543, 476, 272, 540, 519, 6967, 267, 596, 616, 5595, 10203, 269, 1879, 596, 2824, 476, 273, 2367, 538, 476, 279, 290, 273, 2081, 267, 2161, 596, 2824, 589, 543, 645, 1879, 596, 2824, 476, 274, 2021, 538, 476, 276, 290, 274, 2081, 267, 2161, 596, 2824, 2473, 267, 962, 543, 2098, 269, 1879, 596, 2824, 519, 2063, 1268, 267, 2161, 596, 2824, 513, 812, 595, 269, 3767, 2015, 1776, 2013, 281, 1879, 596, 2824, 476, 273, 2367, 538, 476, 279, 290, 273, 2081, 267, 2161, 596, 2824, 589, 543, 595, 1879, 596, 2824, 476, 274, 2021, 538, 476, 276, 290, 274, 2081, 267, 2161, 596, 2824, 2473, 267, 962, 543, 2098, 269, 1879, 596, 2824, 519, 2063, 1268, 267, 2161, 596, 2824, 513, 812, 645, 269, 634, 12233, 568, 1482, 538, 1312, 519, 2665, 630, 288, 267, 645, 267, 595, 267, 2473, 267, 962, 267, 2098, 264, 855, 649, 1293, 873, 607, 476, 273, 1114, 2665, 950, 649, 946, 707, 1505, 269, 9747, 267, 972, 568, 5595, 10203, 538, 707, 1505, 269, 4475, 267, 596, 991, 547, 798, 1018, 645, 684, 3241, 6700, 269, 1280, 811, 593, 623, 261, 290, 267, 2638, 1250, 5816, 281, 5291, 2517, 4178, 269, 591, 26320, 2181, 335, 2593, 270, 24108, 11305, 1538, 528, 3267, 2144, 2914, 529, 3256, 270, 12843, 318, 10127, 880, 2742, 7638, 26320, 16721, 1923, 17918, 26189, 528, 3733, 18248, 5192, 3323, 609, 7638, 26320, 16721, 17918, 2201, 24637, 585, 259, 1960, 692, 19723, 26320, 16721, 17352, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 18458, 10695, 454, 27063, 281, 476, 3583, 279, 278, 692, 20132, 19560, 476, 280, 3953, 3199, 1496, 272, 316, 2073, 2016, 281, 476, 10755, 4649, 692, 3725, 281, 589, 12233, 540, 476, 277, 568, 6074, 689, 476, 279, 2367, 543, 476, 276, 2021, 865, 607, 547, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 866, 4924, 476, 1001, 273, 267, 476, 2537, 281, 7918, 454, 272, 454, 298, 11070, 5308, 454, 2750, 13630, 781, 2022, 454, 288, 24128, 23211, 5206, 912, 288, 12233, 540, 476, 277, 568, 6074, 689, 476, 279, 2367, 543, 476, 276, 2021, 865, 607, 547, 2270, 693, 2547, 476, 273, 2367, 543, 476, 274, 2021, 269, 1215, 1082, 1114, 26639, 1223, 581, 4646, 952, 1079, 540, 519, 2367, 20549, 547, 4196, 1927, 2496, 10831, 540, 2081, 547, 3442, 476, 273, 2367, 815, 476, 279, 290, 273, 815, 476, 2764, 454, 10831, 540, 2081, 547, 3442, 476, 274, 2021, 815, 476, 276, 290, 274, 815, 476, 1015, 454, 13707, 2081, 547, 3442, 476, 273, 2367, 543, 476, 274, 2021, 815, 476, 2764, 2608, 476, 1015, 815, 476, 18231, 692, 3086, 519, 6967, 12233, 4759, 666, 581, 6074, 689, 519, 476, 279, 6967, 2367, 543, 2021, 563, 13707, 2081, 547, 3442, 476, 277, 12233, 2818, 815, 476, 18231, 2608, 476, 279, 815, 476, 23470, 271, 692, 2691, 519, 1079, 2367, 945, 20549, 547, 4196, 1927, 616, 5697, 20620, 10831, 540, 2081, 547, 3442, 476, 274, 2021, 815, 476, 276, 290, 274, 815, 476, 1015, 454, 7230, 8724, 476, 272, 12233, 4759, 666, 581, 6074, 689, 519, 476, 279, 6967, 2367, 543, 2021, 563, 13707, 10659, 815, 476, 1015, 2608, 476, 279, 815, 476, 3199, 692, 13707, 1114, 26639, 952, 1079, 540, 519, 2367, 20549, 547, 4196, 1927, 815, 476, 23470, 271, 910, 476, 3199, 815, 476, 21327, 271, 692, 296, 993, 3257, 1945, 4636, 1934, 267, 1141, 993, 1775, 2469, 4636, 2496, 2411, 15365, 18600, 1125, 1250, 12161, 267, 1775, 993, 5918, 2364, 908, 1293, 950, 1775, 9062, 676, 476, 279, 780, 763, 2338, 596, 1205, 786, 723, 5918, 4124, 780, 4131, 781, 1491, 585, 1383, 519, 2699, 851, 540, 707, 3070, 1657, 281, 2015, 2947, 2021, 281, 2715, 288, 267, 645, 267, 595, 267, 667, 267, 661, 20467, 1879, 596, 3442, 476, 274, 540, 873, 630, 5976, 3230, 290, 317, 274, 318, 276, 2330, 264, 596, 666, 1205, 585, 1383, 519, 1895, 2715, 288, 267, 645, 267, 595, 348, 1985, 950, 596, 3442, 835, 689, 476, 279, 1004, 1287, 596, 666, 1205, 835, 811, 4807, 267, 585, 1383, 667, 267, 865, 596, 3513, 723, 538, 519, 1895, 476, 275, 2021, 2715, 288, 267, 645, 267, 595, 267, 667, 20467, 3767, 267, 952, 596, 3442, 519, 1895, 2715, 288, 267, 645, 267, 667, 9574, 609, 3230, 290, 317, 274, 318, 276, 2330, 543, 1287, 3442, 595, 689, 476, 279, 1004, 1287, 596, 3513, 10416, 786, 1205, 519, 1482, 476, 275, 2021, 1895, 281, 2715, 288, 267, 645, 267, 595, 267, 667, 348, 780, 28775, 621, 781, 2312, 563, 6303, 29390, 10048, 4526, 454, 16274, 281, 476, 866, 4455, 476, 1001, 271, 454, 15803, 281, 476, 13975, 454, 18662, 338, 281, 4959, 289, 267, 670, 4488, 267, 590, 4660, 454, 27063, 281, 476, 275, 692, 20132, 19560, 476, 6507, 1496, 271, 3910, 2016, 281, 476, 2764, 692, 2162, 8058, 16193, 692, 1704, 8734, 476, 1001, 271, 267, 476, 6187, 281, 1626, 454, 19723, 26320, 7093, 335, 298, 541, 880, 2742, 5206, 1384, 19686, 476, 273, 1384, 279, 9093, 910, 476, 276, 6468, 454, 16521, 476, 277, 630, 1079, 2665, 2020, 19111, 476, 272, 281, 273, 2367, 267, 476, 275, 2021, 454, 5591, 540, 2081, 547, 3442, 476, 273, 2367, 856, 540, 476, 279, 568, 476, 279, 290, 273, 1547, 901, 2882, 602, 835, 2013, 538, 799, 519, 1079, 2367, 945, 20549, 547, 4196, 1927, 616, 3769, 269, 1924, 2367, 666, 581, 6074, 538, 476, 279, 290, 273, 910, 476, 272, 2081, 563, 5591, 269, 540, 2081, 547, 3442, 476, 275, 2021, 856, 540, 476, 276, 568, 476, 276, 290, 275, 563, 10831, 540, 2081, 540, 7446, 476, 273, 2367, 543, 476, 275, 2021, 815, 630, 279, 290, 273, 910, 476, 272, 31618, 276, 290, 275, 264, 815, 476, 2767, 265, 276, 815, 476, 13670, 692, 19111, 476, 273, 281, 476, 274, 2367, 267, 476, 274, 2021, 454, 5591, 540, 2081, 547, 3442, 476, 274, 2367, 856, 540, 476, 279, 568, 476, 279, 290, 274, 269, 3143, 540, 2081, 547, 3442, 1346, 1079, 2367, 1927, 568, 476, 277, 290, 272, 630, 2791, 3442, 873, 543, 3442, 835, 811, 547, 1118, 476, 274, 1040, 1924, 2367, 666, 581, 6074, 538, 476, 279, 290, 274, 910, 476, 277, 290, 272, 2081, 563, 5591, 540, 2081, 547, 3442, 476, 274, 2021, 856, 540, 476, 276, 568, 476, 276, 290, 274, 563, 10831, 540, 2081, 540, 7446, 476, 274, 2367, 543, 476, 274, 2021, 815, 630, 279, 290, 274, 910, 476, 277, 290, 272, 31618, 276, 290, 274, 264, 815, 476, 4335, 692, 13707, 1297, 540, 2081, 815, 476, 13670, 1341, 476, 4335, 815, 476, 277, 3374, 692, 19111, 476, 273, 281, 476, 274, 2367, 267, 476, 274, 2021, 2020, 298, 541, 880, 2742, 594, 993, 711, 2111, 547, 1205, 519, 12006, 6712, 269, 2052, 596, 726, 338, 3274, 325, 344, 585, 803, 563, 19723, 26320, 16721, 17918, 26189, 528, 454, 16274, 281, 476, 1626, 4239, 476, 1001, 271, 454, 15803, 281, 476, 278, 1321, 276, 454, 19613, 281, 623, 2317, 267, 3127, 454, 27063, 281, 476, 22659, 278, 692, 20132, 19560, 476, 15793, 10463, 1496, 271, 3910, 2016, 281, 476, 19442, 692, 2162, 8058, 16193, 692, 1704, 8734, 476, 1001, 271, 267, 476, 5881, 281, 2537, 454, 1440, 1662, 656, 321, 3147, 515, 8705, 5206, 912, 19723, 26320, 7093, 335, 298, 541, 880, 2742, 5206, 1384, 19686, 476, 273, 1384, 279, 9093, 910, 476, 276, 6468, 454, 16521, 476, 277, 630, 1079, 2665, 2020, 19111, 476, 272, 281, 273, 2367, 267, 476, 275, 2021, 454, 5591, 540, 2081, 547, 3442, 476, 273, 2367, 856, 540, 476, 279, 568, 476, 279, 290, 273, 1547, 901, 2882, 602, 835, 2013, 538, 799, 519, 1079, 2367, 945, 20549, 547, 4196, 1927, 616, 3769, 269, 1924, 2367, 666, 581, 6074, 538, 476, 279, 290, 273, 910, 476, 272, 2081, 563, 5591, 269, 540, 2081, 547, 3442, 476, 275, 2021, 856, 540, 476, 276, 568, 476, 276, 290, 275, 563, 10831, 540, 2081, 540, 7446, 476, 273, 2367, 543, 476, 275, 2021, 815, 630, 279, 290, 273, 910, 476, 272, 31618, 276, 290, 275, 264, 815, 476, 2767, 265, 276, 815, 476, 13670, 692, 19111, 476, 273, 281, 476, 274, 2367, 267, 476, 274, 2021, 454, 5591, 540, 2081, 547, 3442, 476, 274, 2367, 856, 540, 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 ]
[ 903, 269, 769, 3356, 269, 476, 1001, 275, 269, 1496, 11386, 10104, 316, 2657, 17402, 5426, 4828, 12143, 563, 2420, 269, 1284, 1170, 30183, 267, 631, 904, 631, 313, 267, 6742, 345, 654, 267, 10011, 549, 918, 300, 267, 1546, 310, 5306, 21096, 267, 623, 793, 821, 12463, 267, 631, 1442, 23331, 808, 267, 670, 1446, 14174, 269, 16797, 4879, 540, 7924, 538, 3119, 1416, 281, 519, 21777, 4105, 1129, 269, 7788, 5482, 2405, 476, 1220, 276, 282, 476, 274, 281, 276, 1691, 1107, 476, 2420, 282, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 15389, 271, 270, 2378, 332, 269, 28147, 282, 20163, 281, 1496, 303, 10157, 1863, 2376, 316, 1496, 23809, 316, 1496, 24340, 316, 1496, 11386, 10104, 2639, 2537, 269, 16026, 570, 290, 267, 7043, 17335, 267, 12722, 681, 295, 267, 2904, 324, 14513, 661, 297, 267, 6723, 681, 289, 267, 32298, 623, 310, 267, 595, 709, 577, 10790, 269, 21826, 7447, 540, 2937, 7924, 538, 4915, 281, 513, 27571, 9584, 6293, 269, 5482, 2405, 476, 1960, 274, 282, 476, 1839, 281, 4375, 272, 1107, 476, 276, 282, 20163, 281, 1496, 23809, 316, 1496, 11386, 10104, 2639, 2190, 269, 18007, 4133, 717, 267, 10609, 1794, 2801, 345, 1228, 327, 715, 267, 744, 1084, 326, 9539, 339, 574, 661, 267, 23268, 623, 267, 645, 1551, 590, 267, 1284, 1170, 30183, 269, 4886, 543, 15418, 540, 513, 2268, 540, 1072, 7924, 538, 519, 5177, 281, 519, 21777, 4105, 1129, 269, 645, 10157, 5398, 2657, 476, 1001, 274, 282, 476, 1724, 281, 14138, 282, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 14093, 277, 270, 15704, 272, 268, 25090, 279, 268, 1724, 268, 14138, 282, 20163, 281, 1496, 303, 10157, 1863, 2376, 316, 1496, 23809, 316, 1496, 24340, 316, 1496, 11386, 10104, 2639, 1839, 269, 594, 3630, 29538, 20219, 267, 1234, 573, 674, 267, 26396, 589, 267, 18007, 4133, 717, 267, 717, 727, 345, 26838, 267, 27991, 333, 758, 990, 631, 267, 772, 1087, 615, 631, 269, 4406, 9179, 540, 513, 1072, 7924, 9584, 1907, 630, 3918, 3201, 300, 264, 538, 513, 5177, 2551, 609, 18337, 2295, 2068, 269, 808, 5398, 2657, 630, 23682, 325, 264, 1220, 279, 282, 476, 1789, 281, 4510, 280, 1107, 476, 4649, 282, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 11820, 274, 9706, 889, 4364, 11721, 323, 333, 4962, 280, 282, 20163, 281, 1496, 23809, 316, 1496, 24340, 316, 1496, 11386, 10104, 2639, 2918, 269, 623, 926, 16223, 22085, 267, 26436, 681, 300, 267, 715, 584, 1087, 808, 305, 267, 22823, 667, 310, 267, 13879, 631, 309, 269, 1744, 877, 543, 1072, 7924, 281, 519, 796, 4944, 7505, 4276, 269, 21111, 3447, 595, 10494, 476, 1960, 277, 282, 476, 2767, 281, 3451, 1107, 476, 280, 282, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6200, 277, 270, 5881, 274, 279, 268, 274, 4200, 272, 263, 4817, 264, 23669, 9262, 268, 274, 282, 20163, 281, 1496, 23809, 316, 1496, 24340, 316, 1496, 11386, 10104, 2639, 2767, 269, 1546, 310, 5306, 21096, 267, 11910, 25301, 700, 293, 267, 8316, 330, 966, 295, 267, 645, 709, 4242, 537, 918, 288, 267, 670, 1074, 589, 267, 681, 3291, 681, 267, 1696, 620, 269, 2657, 17402, 17629, 2776, 8619, 1903, 15484, 18145, 269, 9412, 6807, 11022, 281, 10837, 585, 16195, 3194, 543, 10866, 267, 476, 1001, 271, 269, 1496, 11386, 10104, 2639, 2764, 269, 25204, 645, 269, 12525, 16860, 540, 12409, 20505, 281, 15465, 543, 589, 8997, 12358, 1622, 269, 1715, 3840, 281, 6424, 21025, 599, 7577, 5549, 282, 476, 4198, 277, 1299, 476, 3422, 275, 269, 1496, 11386, 10104, 2639, 3066, 269, 32511, 2795, 4802, 23435, 269, 15382, 8104, 717, 15665, 1700, 320, 1715, 3367, 1464, 16754, 269, 808, 3367, 476, 3422, 280, 282, 476, 1321, 281, 277, 4375, 1107, 476, 5379, 1496, 11386, 10104, 2639, 1789, 269, 3367, 1464, 281, 875, 547, 3132, 2312, 2854, 2326, 585, 513, 2039, 540, 3988, 269, 2274, 1182, 614, 267, 5177, 281, 22078, 19781, 282, 476, 1220, 280, 269, 1496, 11386, 10104, 2639, 4029, 269, 5576, 3739, 518, 667, 267, 623, 2884, 974, 808, 267, 6182, 3518, 778, 918, 267, 15651, 674, 267, 14355, 595, 267, 20707, 615, 595, 267, 2274, 784, 8566, 8527, 345, 918, 267, 10011, 549, 595, 267, 645, 785, 2006, 9474, 269, 1849, 3151, 519, 8520, 281, 10629, 2792, 609, 15847, 2550, 945, 723, 1970, 1072, 7924, 269, 5246, 2902, 2405, 476, 1220, 274, 282, 476, 14321, 281, 10695, 1107, 476, 3445, 282, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 1911, 272, 270, 1105, 842, 324, 269, 14321, 269, 272, 269, 10695, 282, 20163, 281, 1496, 23809, 316, 1496, 24340, 316, 1496, 11386, 10104, 2639, 3953, 269, 16214, 540, 519, 2034, 5123, 540, 519, 4787, 2683, 585, 2657, 19510, 269, 5507, 281, 634, 570, 822, 626, 1442, 4659, 543, 32655, 11106, 267, 476, 1220, 280, 269, 21700, 693, 281, 5291, 2517, 4178, 26716, 331, 11398, 566, 3820, 16896, 9706, 4206, 13478, 330, 2683, 318, 1721, 318, 8234, 21223, 1998, 6672, 15005, 563, 29834, 27699, 267, 7066, 1597, 320, 700, 267, 3244, 12121, 808, 300, 267, 645, 1551, 3430, 589, 267, 25326, 2041, 600, 667, 267, 15966, 3530, 2044, 918, 297, 269, 589, 3375, 5351, 547, 1489, 5483, 5079, 827, 15108, 2860, 9584, 1851, 4079, 609, 1970, 2069, 281, 4351, 2213, 6417, 4693, 269, 22720, 297, 476, 1001, 271, 282, 476, 30130, 281, 322, 276, 4391, 271, 282, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 13647, 277, 11486, 332, 329, 6983, 276, 4391, 271, 282, 20163, 281, 1496, 303, 10157, 1863, 2376, 316, 1496, 23809, 316, 1496, 24340, 316, 1496, 11386, 10104, 2639, 269, 25326, 2041, 600, 667, 269, 2657, 7924, 607, 513, 1857, 1072, 3804, 281, 513, 4161, 585, 4207, 1072, 2069, 543, 2792, 2994, 883, 519, 476, 2641, 560, 2540, 269, 2657, 8871, 582, 2271, 476, 1220, 271, 282, 476, 1428, 281, 28796, 1107, 476, 6858, 282, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 11820, 274, 270, 515, 777, 549, 270, 1428, 269, 274, 269, 28796, 1496, 24340, 316, 1496, 11386, 10104, 316, 2657, 17402, 5426, 4828, 12143, 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 ]
[ 24462, 269, 589, 10855, 1557, 19267, 513, 4605, 585, 513, 4303, 543, 13957, 4828, 519, 563, 13625, 2073, 7612, 540, 4633, 2073, 12896, 3901, 673, 13029, 476, 14056, 272, 9293, 1923, 476, 275, 9664, 269, 552, 281, 3733, 16170, 3336, 4270, 267, 594, 786, 2119, 547, 4766, 1250, 23103, 267, 4352, 621, 781, 513, 2370, 3787, 2352, 1317, 621, 781, 513, 3787, 26093, 269, 634, 1547, 1101, 3364, 596, 5469, 950, 596, 4283, 538, 1250, 4055, 568, 602, 568, 1360, 771, 23457, 269, 1703, 781, 1100, 1931, 267, 594, 666, 2161, 602, 3388, 814, 922, 1747, 538, 945, 781, 12922, 540, 20424, 807, 8141, 17084, 267, 519, 1647, 540, 14784, 269, 5689, 323, 1161, 8881, 256, 1677, 2253, 267, 519, 12922, 540, 20424, 807, 7450, 9376, 568, 7745, 269, 1879, 596, 6368, 4283, 693, 519, 4055, 2073, 596, 666, 1294, 593, 519, 2451, 2427, 540, 513, 3774, 3710, 538, 538, 519, 540, 14334, 267, 20758, 13681, 525, 269, 1703, 781, 1141, 594, 1832, 782, 1250, 9660, 269, 634, 11380, 568, 1279, 543, 7522, 267, 543, 621, 814, 3893, 269, 476, 1220, 275, 11549, 4548, 2073, 16170, 3336, 2073, 10162, 1682, 476, 15876, 276, 9293, 1923, 476, 276, 9664, 269, 24225, 476, 277, 634, 1826, 540, 5037, 596, 946, 786, 4096, 593, 707, 3483, 585, 1603, 269, 1677, 7038, 3988, 610, 1547, 2769, 2933, 267, 5830, 946, 32538, 610, 6609, 563, 2750, 6570, 543, 32538, 616, 1031, 547, 540, 20424, 807, 15144, 325, 8141, 17084, 267, 1217, 3988, 827, 1945, 269, 3600, 1749, 1234, 716, 532, 5450, 1023, 256, 19536, 946, 30373, 547, 3310, 1004, 269, 11153, 9433, 2854, 827, 519, 15144, 325, 1482, 1641, 1522, 581, 1360, 1114, 267, 4470, 593, 1946, 519, 538, 519, 5830, 5206, 873, 269, 634, 2185, 9433, 602, 1246, 782, 2911, 827, 945, 781, 12922, 15144, 325, 8141, 17084, 16945, 1071, 7539, 267, 855, 538, 1114, 2081, 269, 634, 12186, 256, 1547, 2549, 2224, 618, 6288, 2073, 595, 25729, 8672, 2073, 595, 2292, 6816, 476, 16020, 9293, 1923, 476, 274, 9664, 269, 27842, 540, 10855, 9433, 2433, 12726, 476, 272, 7868, 3732, 2630, 568, 606, 6679, 5037, 689, 513, 2875, 1557, 593, 519, 1547, 1646, 540, 945, 781, 540, 20424, 807, 8141, 17084, 267, 9913, 2923, 269, 769, 621, 267, 1352, 6257, 7641, 2914, 10248, 538, 32037, 8141, 17084, 267, 1200, 1920, 547, 1118, 513, 1448, 827, 875, 3844, 7641, 729, 607, 513, 1106, 540, 945, 781, 540, 20424, 807, 8141, 17084, 267, 9913, 538, 519, 476, 2568, 779, 269, 630, 272, 264, 1306, 594, 729, 3395, 909, 538, 634, 12186, 24391, 267, 519, 476, 2568, 779, 267, 8613, 729, 519, 1152, 9913, 1250, 1920, 6785, 540, 519, 5907, 4990, 269, 630, 273, 264, 634, 476, 278, 522, 685, 22018, 3781, 569, 3377, 729, 971, 606, 1271, 851, 540, 938, 1920, 602, 1250, 19033, 5679, 18088, 513, 3774, 1524, 543, 563, 5719, 8117, 11549, 4548, 2073, 918, 879, 2967, 2073, 6778, 20613, 658, 324, 1446, 476, 5038, 280, 9293, 1923, 476, 273, 9664, 269, 7790, 29149, 24225, 2776, 8586, 22276, 5153, 476, 272, 281, 29149, 24225, 2776, 8586, 4643, 1547, 19648, 281, 13159, 782, 540, 519, 2609, 540, 519, 15144, 325, 840, 8586, 282, 6382, 267, 519, 1543, 540, 707, 4062, 786, 711, 581, 4977, 269, 13445, 281, 3733, 4651, 15788, 6764, 1833, 270, 11592, 281, 1306, 1004, 2085, 4587, 789, 1689, 9308, 543, 7827, 513, 4303, 4828, 14156, 267, 2705, 649, 666, 2141, 1294, 873, 607, 789, 941, 1354, 269, 2986, 9098, 26741, 325, 256, 10748, 1466, 281, 26189, 528, 267, 7731, 543, 2828, 269, 20828, 281, 6431, 340, 1228, 13445, 22054, 281, 3733, 4651, 4957, 538, 513, 4303, 4828, 267, 1082, 2081, 936, 519, 942, 267, 855, 269, 16685, 2681, 2073, 11120, 658, 4552, 2073, 2494, 476, 9692, 275, 9293, 1923, 476, 277, 9664, 269, 7790, 1692, 547, 3503, 513, 29149, 4828, 29149, 3594, 616, 1419, 16148, 4247, 269, 634, 1101, 3390, 693, 1688, 568, 547, 1118, 2386, 596, 1547, 917, 1018, 1826, 540, 1957, 596, 616, 1603, 269, 634, 10855, 1557, 568, 1419, 3860, 267, 2123, 267, 610, 3274, 7499, 563, 28097, 519, 7084, 609, 707, 7548, 610, 4116, 1354, 596, 2253, 269, 4634, 1498, 707, 10855, 1557, 568, 811, 2123, 982, 513, 3044, 2947, 268, 5037, 610, 5635, 9762, 2858, 1557, 267, 972, 568, 1869, 3833, 513, 3787, 540, 12922, 15144, 325, 267, 6780, 547, 581, 2944, 269, 3371, 568, 513, 1592, 540, 4622, 8141, 17084, 267, 1271, 3652, 269, 32313, 2073, 4828, 2073, 10749, 476, 9610, 277, 9293, 1923, 476, 276, 9664, 269, 3733, 1655, 3659, 7101, 541, 269, 29149, 1557, 827, 1250, 7504, 563, 318, 5327, 20696, 1557, 318, 31253, 645, 12239, 674, 6020, 21715, 681, 4696, 2752, 1879, 594, 530, 5803, 909, 538, 945, 781, 12922, 15144, 325, 267, 519, 6640, 594, 6785, 602, 2221, 568, 519, 1554, 585, 5870, 1547, 5450, 1023, 256, 1250, 1655, 3659, 7101, 541, 269, 7101, 541, 5654, 11613, 32154, 269, 3571, 3109, 1163, 637, 633, 15826, 4064, 616, 2141, 5594, 8909, 269, 3571, 4779, 3563, 748, 19911, 337, 2812, 25858, 909, 267, 602, 568, 2356, 4553, 676, 2879, 858, 532, 269, 2279, 12295, 26741, 325, 256, 1261, 24967, 2879, 334, 2130, 267, 3006, 12946, 1010, 2635, 4522, 607, 952, 646, 941, 32127, 269, 32084, 256, 3571, 4887, 748, 1560, 609, 5347, 2960, 267, 1010, 28795, 7381, 7953, 267, 1010, 14996, 1836, 8032, 2212, 269, 28214, 2073, 715, 846, 2073, 9986, 8351, 476, 4097, 280, 9293, 1923, 476, 274, 9664, 269, 29149, 4828, 3733, 9224, 568, 16397, 609, 519, 945, 781, 12922, 8141, 17084, 9329, 540, 4552, 4944, 2001, 267, 4816, 8869, 267, 543, 513, 2927, 640, 13526, 2541, 269, 5689, 323, 1161, 8881, 256, 1703, 616, 1932, 1082, 1547, 6690, 538, 1934, 267, 782, 10010, 543, 8165, 585, 12922, 15144, 325, 513, 2230, 2282, 519, 11604, 602, 6227, 519, 3003, 1394, 3774, 269, 898, 779, 3897, 538, 1934, 267, 855, 621, 779, 513, 1434, 2186, 540, 3897, 267, 3592, 22196, 563, 763, 1152, 1769, 568, 4947, 689, 519, 5180, 8709, 640, 15620, 602, 1899, 519, 2295, 540, 14334, 1283, 540, 519, 540, 20424, 807, 19141, 267, 1818, 621, 865, 602, 519, 16682, 30105, 1810, 1406, 10556, 1018, 2067, 1769, 8761, 269, 594, 1118, 1250, 1259, 547, 7827, 513, 4303, 543, 13957, 267, 519, 2699, 9376, 619, 593, 519, 1318, 269, 15328, 27027, 2073, 22458, 4401, 2073, 12794, 1009, 1803, 476, 13893, 272, 9293, 1923, 476, 275, 9664, 269, 5595, 2230, 1063, 519, 1344, 543, 519, 2140, 3733, 8285, 4303, 2986, 476, 1001, 271, 1306, 594, 530, 5803, 909, 609, 519, 3141, 779, 12345, 538, 1250, 4064, 267, 594, 1547, 5734, 1250, 6049, 15372, 9219, 267, 799, 2094, 621, 729, 30366, 693, 476, 1015, 513, 6230, 269, 2279, 12295, 2986, 9098, 256, 1306, 594, 15336, 630, 1492, 1259, 596, 5206, 713, 2306, 621, 513, 27929, 4845, 269, 1403, 596, 1039, 513, 1641, 543, 1689, 519, 8231, 621, 568, 7408, 32232, 609, 8407, 711, 27929, 264, 1524, 519, 581, 15607, 10689, 3118, 267, 883, 519, 5836, 6249, 19880, 269, 2986, 9098, 256, 594, 5828, 593, 519, 19880, 1769, 267, 543, 5828, 1287, 519, 1216, 593, 547, 11547, 1250, 3068, 269, 1879, 596, 723, 519, 2831, 1482, 2962, 538, 519, 1482, 4845, 269, 8274, 3014, 2073, 8285, 2073, 8285, 18832, 476, 20385, 273, 9293, 1923, 476, 276, 9664, 563, 323, 4770, 856, 547, 15063, 2576, 689, 1373, 5734, 676, 513, 1286, 269, 2608, 634, 5898, 540, 513, 6978, 9991, 1996, 513, 6607, 1396, 909, 676, 513, 22774, 1310, 513, 3141, 17643, 269, 1547, 2608, 634, 3956, 540, 513, 4816, 16462, 1200, 3993, 547, 2097, 543, 4584, 1200, 909, 269, 2608, 2608, 476, 273, 6056, 827, 3615, 4092, 538, 8141, 17084, 267, 6935, 547, 1141, 596, 941, 269, 12085, 547, 2015, 1331, 281, 2608, 9894, 707, 10450, 7618, 596, 540, 32037, 267, 1022, 824, 1747, 538, 942, 286, 2608, 1548, 729, 519, 9403, 540, 1919, 1472, 596, 950, 596, 20109, 873, 286, 2608, 1548, 4606, 269, 32313, 2073, 4828, 2073, 28214, 476, 280, 1015, 9293, 1923, 476, 275, 9664, 269, 15015, 2201, 24225, 5675, 1280, 4841, 269, 7790, 4353, 269, 654, 6020, 16249, 589, 24315, 8980, 20370, 295, 3281, 6150, 676, 12922, 540, 20424, 807, 8141, 17084, 267, 645, 12282, 565, 16120, 13960, 476, 272, 269, 667, 9128, 2562, 296, 3582, 22230, 9281, 29052, 28718, 9569, 589, 5037, 568, 513, 2596, 1770, 540, 3919, 1547, 538, 1603, 538, 799, 513, 1895, 540, 543, 13957, 4828, 267, 1644, 5220, 10953, 835, 1292, 2856, 269, 5808, 781, 2279, 12295, 256, 6270, 5220, 616, 2356, 5532, 676, 9266, 1921, 1161, 269, 589, 5037, 666, 581, 607, 2110, 607, 835, 4845, 610, 607, 1279, 607, 4557, 5220, 269, 634, 5037, 1058, 581, 1279, 2614, 547, 1020, 519, 4731, 323, 1161, 3106, 1292, 2856, 5693, 563, 288, 5037, 949, 1796, 676, 3294, 630, 328, 4318, 269, 547, 2626, 513, 1449, 2243, 1040, 2279, 12295, 256, 589, 5037, 949, 849, 581, 835, 851, 269, 4813, 540, 519, 6153, 2073, 24225, 2073, 5675, 476, 2735, 277, 9293, 1923, 476, 278, 9664, 269, 11270, 31233, 3733, 14134, 5020, 4828, 9603, 11261, 281, 11978, 539, 3803, 31585, 616, 1813, 593, 12843, 1693, 13090, 693, 519, 4098, 540, 519, 540, 14334, 1974, 269, 2659, 28439, 1547, 3803, 8908, 786, 581, 5116, 538, 707, 14769, 269, 9257, 540, 7433, 281, 7170, 281, 22067, 909, 609, 513, 3860, 2140, 24225, 1948, 272, 281, 4985, 563, 8196, 835, 540, 519, 968, 327, 23697, 892, 689, 519, 3670, 5079, 593, 2427, 476, 273, 269, 27910, 17084, 256, 5213, 1406, 7340, 547, 616, 782, 2831, 10636, 582, 5268, 338, 267, 1577, 707, 5467, 917, 1018, 707, 1557, 786, 581, 827, 945, 781, 15144, 325, 630, 3249, 518, 267, 1920, 267, 2828, 267, 3347, 267, 2777, 267, 543, 6174, 1040, 24225, 1948, 273, 281, 3503, 827, 707, 5326, 269, 14825, 9394, 2073, 14134, 2073, 8361, 6424, 774, 648, 879, 476, 5038, 278, 9293, 1923, 476, 273, 9664, 269, 29149, 4828, 6168, 519, 4731, 323, 1161, 3106, 16047, 269, 29149, 4828, 282, 3733, 17828, 9255, 513, 8613, 267, 513, 14446, 4216, 267, 610, 513, 2780, 267, 3092, 269, 898, 729, 660, 1483, 267, 855, 621, 729, 513, 1390, 1547, 1747, 547, 540, 20424, 807, 8141, 17084, 267, 9101, 547, 4731, 323, 1161, 3106, 267, 1256, 952, 621, 729, 1175, 538, 1250, 2247, 269, 26741, 325, 256, 898, 5795, 803, 1945, 547, 4126, 269, 20031, 1756, 29149, 4828, 2677, 21564, 513, 9255, 4793, 323, 516, 6390, 13879, 476, 278, 268, 1691, 268, 1321, 2296, 476, 8099, 4750, 28678, 589, 9255, 1879, 594, 729, 513, 2370, 8004, 594, 26927, 3139, 540, 519, 1215, 12619, 15136, 7827, 543, 13957, 1034, 9058, 4055, 538, 1250, 2247, 269, 9861, 835, 540, 519, 269, 20031, 1756, 29149, 4828, 563, 7069, 674, 2948, 924, 9255, 269, 9533, 7909, 2073, 2296, 25082, 8874, 2073, 21756, 476, 24129, 9293, 1923, 476, 273, 9664, 269, 7790, 6168, 3733, 3163, 11819, 2311, 602, 942, 594, 729, 1869, 513, 4626, 573, 8004, 945, 3085, 1406, 12837, 513, 2603, 269, 8422, 1296, 3516, 267, 1250, 1547, 1920, 6294, 3603, 547, 4516, 267, 713, 14542, 543, 4190, 1747, 585, 803, 568, 945, 781, 540, 20424, 807, 8141, 17084, 513, 1007, 4098, 269, 594, 6410, 609, 1250, 3237, 267, 5030, 538, 32037, 267, 513, 23934, 25810, 267, 1141, 729, 6806, 547, 1250, 2025, 1153, 563, 301, 22022, 5181, 1153, 556, 641, 2989, 267, 594, 16136, 548, 696, 538, 519, 1101, 1554, 540, 945, 781, 15144, 325, 8141, 17084, 267, 1153, 267, 9292, 3072, 569, 4682, 547, 32232, 267, 1153, 1510, 4189, 14254, 267, 519, 945, 781, 12922, 540, 20424, 807, 8141, 17084, 1101, 1974, 729, 3163, 269, 1772, 621, 519, 10782, 12705, 540, 4116, 585, 538, 519, 2295, 2875, 945, 729, 269, 476, 1220, 277, 11549, 4548, 2073, 4147, 594, 16456, 2073, 4065, 476, 14695, 276, 9293, 1923, 476, 273, 9664, 269, 19032, 540, 945, 781, 8141, 17084, 267, 24225, 589, 5037, 814, 8370, 28944, 269, 3962, 540, 891, 9433, 814, 922, 1378, 1547, 2060, 256, 4162, 269, 21931, 9433, 616, 2356, 2854, 538, 513, 26567, 1931, 269, 2279, 12295, 2986, 9098, 26741, 325, 256, 898, 8761, 1018, 513, 5467, 1058, 1451, 689, 513, 1880, 1650, 269, 634, 2239, 2306, 519, 4622, 5467, 811, 3238, 267, 2337, 606, 2856, 1205, 2066, 610, 7959, 14156, 827, 621, 563, 2005, 2115, 547, 2491, 945, 568, 538, 945, 781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17147, 1805, 571, 697, 2036, 532, 17147, 19226, 5109, 454, 31690, 523, 18343, 1184, 454, 2467, 616, 1082, 2010, 540, 23741, 6775, 269, 17497, 267, 519, 811, 9921, 18343, 1949, 1331, 15155, 773, 18343, 267, 30485, 18343, 267, 3092, 269, 634, 15155, 773, 18343, 1184, 568, 607, 5205, 563, 305, 1177, 32028, 17147, 22873, 658, 4393, 17147, 28926, 2287, 17147, 290, 8973, 17147, 4467, 6883, 7041, 17147, 4467, 6883, 17147, 23921, 548, 2036, 532, 17147, 305, 8221, 17147, 8967, 684, 20612, 17147, 8070, 3491, 22422, 454, 26046, 540, 2185, 2930, 3157, 454, 5804, 519, 1657, 6476, 267, 621, 666, 581, 1336, 602, 519, 18343, 1184, 540, 10412, 18343, 568, 15069, 10156, 543, 1447, 3937, 568, 1031, 538, 1142, 1184, 269, 769, 519, 15144, 18343, 1184, 267, 1283, 5663, 666, 849, 581, 4421, 607, 513, 5094, 8737, 1283, 269, 1280, 1283, 10085, 4370, 2472, 609, 1164, 1587, 2298, 4170, 267, 621, 849, 2115, 547, 979, 998, 519, 14816, 10085, 4370, 543, 21921, 532, 1184, 267, 602, 568, 267, 519, 1283, 568, 10085, 539, 543, 2036, 539, 1586, 563, 1103, 519, 16536, 18343, 1184, 267, 519, 5386, 10412, 5833, 1310, 3355, 4393, 2115, 547, 581, 1500, 883, 5386, 10412, 676, 9764, 2036, 532, 610, 2036, 532, 547, 3489, 5386, 10412, 543, 1287, 838, 684, 269, 634, 9764, 2036, 532, 10412, 1818, 1184, 568, 1279, 543, 4074, 25673, 267, 543, 519, 5386, 10412, 3812, 814, 7864, 9274, 269, 6902, 1290, 5523, 10412, 568, 2147, 547, 1283, 5663, 269, 4014, 519, 1184, 568, 10156, 267, 519, 2298, 568, 711, 607, 1434, 607, 9764, 2036, 532, 563, 305, 600, 773, 18343, 3622, 3096, 513, 2347, 1305, 540, 3937, 689, 519, 2036, 539, 15144, 18343, 1062, 585, 18343, 267, 609, 1152, 9864, 12381, 547, 519, 3937, 267, 543, 519, 1184, 568, 2147, 547, 519, 10412, 18343, 1184, 563, 26046, 543, 6476, 540, 3119, 4393, 540, 10412, 267, 15144, 267, 16536, 543, 32028, 586, 541, 985, 454, 306, 3975, 10412, 13603, 689, 10412, 2371, 267, 15144, 1352, 1563, 689, 13265, 267, 29578, 689, 519, 16536, 22805, 2872, 267, 543, 23741, 22019, 539, 689, 11710, 616, 519, 3312, 1533, 540, 2067, 11103, 269, 1452, 6151, 2326, 2270, 1082, 1114, 3334, 543, 3112, 581, 2047, 9268, 883, 20612, 269, 4475, 267, 621, 568, 2556, 547, 4163, 856, 16861, 4393, 540, 891, 6151, 2326, 547, 4894, 519, 18343, 27780, 5338, 3334, 538, 519, 6775, 6151, 2326, 267, 2333, 519, 838, 4883, 1464, 540, 891, 2067, 11103, 267, 543, 1118, 519, 11103, 2743, 519, 18343, 4170, 269, 589, 6476, 540, 519, 5820, 543, 3355, 4393, 2409, 540, 891, 6151, 2326, 568, 3254, 2630, 563, 18871, 749, 21695, 267, 10412, 23092, 267, 11950, 267, 26307, 267, 533, 24514, 267, 11849, 267, 3092, 563, 347, 3682, 12888, 267, 4573, 2023, 3170, 267, 13265, 17570, 267, 13265, 546, 2426, 267, 6371, 5247, 985, 267, 11710, 543, 3762, 267, 5070, 454, 16085, 20488, 4017, 549, 514, 267, 1583, 545, 514, 267, 20119, 267, 14589, 267, 3170, 267, 22803, 2339, 454, 18871, 749, 21695, 267, 646, 6193, 749, 21695, 267, 533, 24514, 267, 31429, 514, 267, 14589, 267, 1216, 19729, 2339, 267, 11849, 454, 347, 28808, 19263, 602, 17225, 18343, 454, 18871, 9051, 23092, 267, 4006, 6878, 454, 16085, 20143, 514, 267, 1585, 23606, 454, 347, 7093, 14083, 4393, 1505, 454, 347, 294, 15619, 543, 964, 1872, 2130, 454, 347, 9288, 22817, 543, 3114, 4999, 454, 16085, 1177, 5694, 610, 1283, 16945, 575, 514, 1975, 2001, 4550, 3613, 1157, 19605, 454, 347, 15675, 267, 1930, 267, 11547, 267, 3819, 630, 21666, 1436, 994, 347, 7093, 18022, 1456, 2126, 13217, 5403, 18022, 1456, 2126, 454, 347, 10521, 5986, 2409, 13648, 7466, 543, 2259, 2899, 4425, 559, 7466, 543, 27125, 2899, 4425, 559, 7466, 267, 27125, 2899, 543, 14974, 2899, 454, 30054, 842, 630, 3863, 10412, 994, 347, 2675, 10696, 3653, 16536, 454, 2026, 666, 581, 2938, 689, 519, 1657, 267, 891, 2067, 2110, 6775, 6151, 2326, 2270, 513, 2603, 540, 18343, 27780, 5338, 3334, 269, 634, 1455, 1448, 540, 519, 3355, 4393, 540, 2110, 11103, 568, 547, 4894, 891, 18343, 27780, 5338, 3334, 998, 513, 3126, 540, 2168, 610, 3114, 2126, 2409, 547, 3489, 18343, 4170, 269, 540, 3119, 4393, 2472, 269, 9603, 547, 519, 1114, 18343, 3146, 339, 731, 656, 3334, 540, 1585, 6151, 2326, 267, 1114, 2067, 11103, 2154, 1114, 3355, 4393, 2553, 543, 2409, 563, 763, 10412, 5452, 543, 4006, 6878, 538, 6079, 10412, 3112, 581, 6569, 1282, 5958, 18138, 543, 616, 519, 1292, 3334, 602, 17225, 18343, 269, 29158, 23092, 568, 519, 6079, 540, 519, 10412, 2030, 543, 666, 581, 6569, 676, 7344, 25738, 269, 4340, 547, 519, 1114, 3029, 540, 3355, 4393, 6191, 267, 621, 666, 581, 5258, 883, 1079, 2409, 281, 4718, 3562, 1054, 575, 514, 543, 1283, 16945, 575, 514, 269, 29158, 5452, 543, 11103, 616, 9674, 689, 1142, 824, 998, 519, 2962, 540, 1283, 5066, 619, 543, 19059, 610, 4718, 4522, 269, 1280, 519, 4006, 6878, 538, 6079, 10412, 267, 6211, 610, 3114, 2409, 666, 581, 1031, 547, 4894, 4006, 269, 6270, 607, 1216, 30574, 267, 2848, 5446, 267, 11067, 267, 679, 9195, 1738, 543, 824, 2409, 547, 4894, 4006, 269, 17497, 267, 519, 1505, 540, 30574, 838, 684, 321, 1180, 21187, 568, 4122, 1031, 563, 305, 1177, 15144, 3568, 513, 2603, 540, 12214, 538, 7501, 543, 2713, 1604, 11935, 267, 799, 12517, 5540, 15144, 18343, 4393, 269, 21984, 15144, 568, 1101, 5697, 267, 543, 1287, 1585, 23606, 616, 6569, 998, 513, 3126, 540, 7344, 543, 3114, 2409, 971, 607, 6679, 267, 1085, 28666, 267, 15018, 267, 543, 3327, 1436, 547, 3489, 5266, 6986, 1085, 10696, 15144, 602, 10742, 519, 4170, 540, 15144, 18343, 2504, 269, 1133, 327, 1515, 532, 5631, 3096, 519, 2962, 540, 519, 4552, 6679, 12718, 547, 3138, 4923, 519, 15144, 4773, 883, 10690, 15144, 15985, 956, 267, 543, 4894, 607, 1454, 23606, 607, 2009, 282, 15144, 11067, 3322, 11067, 2476, 561, 12935, 514, 267, 13265, 17570, 267, 2030, 23606, 267, 3092, 269, 998, 900, 6160, 2305, 610, 19857, 2409, 269, 5136, 1555, 18233, 15144, 282, 15018, 15144, 568, 547, 3819, 519, 18233, 15144, 4947, 856, 540, 519, 1216, 16945, 540, 519, 15144, 11067, 3684, 547, 1852, 519, 7509, 22919, 540, 519, 18233, 15144, 269, 1280, 519, 3355, 4393, 540, 15144, 523, 15144, 267, 3327, 1436, 568, 849, 2838, 269, 12539, 1436, 3096, 519, 3959, 602, 27794, 568, 711, 3679, 15033, 1247, 15144, 568, 3679, 15033, 547, 4894, 2030, 2861, 23606, 269, 898, 3340, 4584, 1782, 267, 3679, 12902, 267, 15018, 267, 3327, 8851, 267, 9243, 1436, 543, 824, 3157, 547, 3489, 3327, 1242, 18233, 15144, 563, 306, 20488, 18343, 6151, 2326, 2097, 689, 513, 2647, 2039, 540, 2959, 267, 543, 741, 1292, 3334, 616, 16536, 4017, 549, 514, 543, 1583, 545, 514, 269, 4014, 1312, 616, 5946, 267, 1152, 16536, 4017, 549, 514, 568, 5078, 585, 18343, 4393, 269, 589, 1507, 2179, 540, 1583, 545, 514, 666, 1404, 513, 8825, 1909, 267, 865, 519, 1292, 3483, 540, 17975, 568, 4107, 540, 519, 1583, 545, 514, 267, 31294, 267, 7452, 543, 824, 23606, 616, 6569, 547, 3132, 513, 2973, 267, 2770, 27918, 267, 3819, 10412, 609, 513, 1978, 4110, 540, 6551, 7190, 543, 22786, 269, 2776, 18022, 1456, 2126, 5631, 3322, 18570, 267, 3138, 657, 2287, 543, 9427, 23606, 689, 6151, 2326, 547, 3313, 519, 17975, 1505, 543, 1184, 282, 4676, 1456, 666, 581, 5258, 883, 3114, 17975, 543, 23020, 17975, 2687, 547, 519, 6240, 269, 17497, 267, 519, 18682, 13908, 17975, 1505, 568, 1419, 1031, 282, 5403, 18022, 1456, 2126, 26451, 11067, 267, 18024, 543, 15018, 3157, 267, 519, 3803, 1587, 568, 1500, 883, 1085, 10696, 3653, 16536, 5078, 585, 7766, 946, 563, 305, 600, 773, 568, 513, 23741, 6775, 602, 568, 4922, 1031, 543, 814, 513, 2347, 18343, 1062, 269, 21984, 23741, 3568, 811, 1875, 16052, 21695, 2458, 6950, 267, 799, 616, 5631, 30713, 21839, 728, 11950, 543, 23599, 7135, 269, 634, 3355, 4393, 540, 6151, 23741, 568, 519, 2554, 636, 2719, 540, 23741, 6775, 269, 1703, 616, 4867, 1079, 2596, 2409, 540, 2554, 636, 2719, 281, 3114, 2554, 636, 2719, 543, 15451, 2554, 636, 2719, 269, 634, 1034, 4122, 1031, 1505, 568, 3114, 2554, 636, 2719, 267, 799, 568, 5631, 1759, 593, 12659, 8932, 1085, 28666, 269, 1703, 616, 1082, 1184, 2409, 585, 3114, 2554, 636, 2719, 269, 634, 1079, 28967, 4979, 1505, 814, 513, 2110, 1184, 267, 855, 519, 2298, 540, 519, 12015, 23741, 3812, 568, 711, 1164, 282, 519, 1079, 28967, 4979, 543, 835, 2275, 8504, 1505, 7472, 1434, 7779, 12015, 23741, 855, 3217, 513, 1279, 942, 282, 519, 1079, 28967, 4979, 543, 835, 15918, 534, 4221, 1505, 7472, 513, 2539, 7779, 12015, 23741, 269, 6153, 267, 519, 1184, 942, 568, 2110, 282, 519, 2298, 540, 12015, 23741, 3812, 676, 1079, 14495, 267, 835, 6926, 2286, 543, 835, 1085, 28666, 568, 519, 1655, 267, 855, 519, 1184, 568, 1279, 543, 519, 1942, 568, 1164, 269, 4438, 519, 2504, 1184, 267, 519, 1184, 666, 581, 21230, 5697, 2687, 547, 1587, 2115, 269, 0, 763, 3778, 540, 5689, 25596, 6227, 519, 1858, 540, 1459, 6377, 5689, 25596, 269, 634, 3148, 729, 2899, 851, 540, 519, 3057, 822, 328, 7276, 630, 11321, 822, 328, 729, 513, 10806, 799, 2269, 9536, 1194, 519, 1699, 10665, 540, 5689, 25596, 267, 20787, 3711, 1664, 267, 543, 2098, 25995, 267, 538, 519, 476, 1626, 628, 2540, 1040, 769, 7810, 2053, 267, 519, 8513, 729, 12199, 676, 519, 3703, 267, 896, 4171, 1852, 621, 729, 1634, 1101, 607, 3703, 6239, 4000, 543, 2663, 27526, 29569, 663, 269, 898, 2968, 851, 540, 519, 18966, 540, 10910, 3941, 807, 543, 27526, 29569, 663, 269, 634, 2197, 6913, 2407, 7115, 267, 607, 5689, 25596, 267, 538, 476, 3422, 275, 269, 2991, 7115, 267, 5689, 25596, 729, 12199, 607, 513, 835, 18407, 1533, 896, 670, 770, 902, 645, 7701, 2394, 476, 1960, 275, 563, 19425, 2801, 1108, 540, 5689, 25596, 454, 1103, 476, 1960, 272, 513, 4630, 514, 573, 10265, 14752, 729, 4362, 2282, 772, 571, 3873, 8498, 602, 729, 1063, 476, 273, 269, 274, 543, 476, 273, 269, 276, 2929, 1296, 2025, 269, 7216, 3425, 20948, 519, 25610, 540, 8235, 5689, 25596, 476, 2004, 267, 1822, 547, 476, 2568, 267, 1822, 1296, 3516, 269, 5274, 3788, 693, 513, 3135, 18584, 827, 476, 8517, 271, 14514, 4951, 2168, 4162, 2147, 547, 9082, 2713, 2221, 538, 519, 24125, 540, 4000, 269, 2311, 1776, 3135, 267, 18584, 476, 5611, 271, 14514, 267, 519, 3788, 4865, 9028, 340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 273, 16720, 540, 519, 3075, 563, 268, 7502, 18042, 16247, 1107, 585, 3368, 513, 19943, 540, 1216, 476, 2412, 575, 540, 16247, 563, 2414, 8396, 10860, 267, 946, 513, 3070, 540, 7601, 27940, 777, 5277, 543, 645, 867, 324, 14513, 7848, 563, 763, 1655, 18168, 585, 24712, 616, 5214, 18168, 971, 607, 1793, 25744, 269, 16792, 2185, 10571, 902, 829, 4005, 786, 1683, 519, 17382, 609, 782, 519, 5567, 621, 2115, 585, 2208, 543, 15496, 269, 634, 1101, 8023, 666, 581, 2944, 538, 4571, 11219, 2317, 267, 543, 519, 2063, 835, 1100, 2663, 982, 4571, 5025, 1872, 755, 10756, 2414, 5965, 513, 5277, 13226, 267, 32561, 476, 272, 851, 540, 15273, 548, 514, 538, 476, 274, 2694, 540, 1216, 543, 4734, 585, 476, 1015, 2395, 547, 1102, 2224, 269, 1879, 2047, 8600, 1283, 19703, 267, 32561, 476, 272, 851, 540, 713, 7848, 609, 476, 1015, 2694, 540, 1216, 563, 6524, 6992, 1944, 519, 3037, 1472, 519, 17382, 267, 621, 568, 2556, 547, 5848, 523, 1134, 267, 543, 1152, 1287, 3049, 519, 9782, 609, 13226, 693, 519, 2557, 540, 476, 274, 20990, 829, 835, 17382, 563, 13528, 566, 540, 519, 2104, 17382, 454, 16987, 27624, 8768, 25210, 4363, 602, 538, 519, 1101, 1032, 540, 513, 9782, 779, 1272, 267, 711, 2285, 621, 519, 4316, 547, 16036, 267, 865, 602, 1762, 19155, 2744, 4222, 543, 2285, 10731, 15496, 1985, 4005, 269, 1677, 798, 713, 267, 596, 991, 547, 4894, 519, 19512, 689, 519, 26965, 267, 6028, 835, 8768, 829, 9496, 10756, 10702, 5250, 540, 519, 17382, 5161, 538, 8930, 4221, 782, 14694, 22534, 1310, 519, 8772, 6978, 2394, 519, 17382, 10301, 519, 5551, 3337, 563, 7628, 519, 4832, 267, 621, 568, 21237, 2556, 547, 4894, 3552, 2208, 563, 4415, 519, 12625, 540, 1985, 5614, 267, 519, 17382, 786, 991, 547, 581, 5402, 1202, 4624, 585, 3819, 22534, 269, 1403, 3819, 543, 13792, 22534, 616, 1336, 267, 789, 1058, 581, 2759, 609, 18309, 1352, 1513, 269, 0, 763, 918, 778, 327, 342, 21036, 568, 513, 14076, 1584, 28334, 1336, 5097, 538, 3127, 269, 6884, 3885, 1369, 519, 28334, 12199, 513, 1297, 540, 25267, 543, 19036, 569, 2829, 267, 971, 607, 26566, 760, 584, 267, 4437, 9618, 267, 31579, 541, 21423, 267, 8496, 27256, 21423, 267, 1325, 8705, 543, 631, 2967, 9618, 563, 297, 600, 3118, 631, 1092, 568, 741, 1849, 534, 31001, 630, 330, 592, 1372, 12858, 1040, 8466, 11454, 6131, 547, 11918, 3118, 631, 1092, 568, 1459, 538, 11918, 8705, 600, 3258, 327, 1016, 1673, 643, 1707, 540, 26566, 760, 584, 10588, 267, 14076, 553, 22474, 269, 901, 11454, 729, 3710, 676, 14076, 320, 667, 592, 515, 681, 2967, 918, 778, 1177, 21036, 1310, 646, 4465, 6370, 1813, 547, 31001, 781, 25736, 563, 6097, 547, 595, 2106, 628, 807, 13669, 15318, 267, 519, 2495, 540, 2262, 918, 778, 327, 342, 21036, 568, 12475, 18857, 563, 2467, 616, 1082, 6436, 593, 519, 5169, 540, 519, 918, 778, 327, 342, 1695, 553, 563, 306, 1722, 822, 753, 327, 19092, 610, 594, 802, 327, 342, 27495, 19092, 610, 681, 27895, 12320, 753, 327, 19092, 2433, 918, 778, 342, 21036, 3409, 16350, 689, 918, 2313, 320, 267, 513, 5067, 540, 519, 1285, 20345, 540, 31155, 20692, 267, 681, 4821, 267, 607, 6829, 676, 873, 19696, 3140, 6054, 1282, 519, 10966, 5480, 540, 3127, 18659, 593, 10548, 13495, 597, 693, 15718, 617, 27256, 269, 1772, 327, 8061, 10202, 513, 918, 778, 327, 342, 21036, 14076, 320, 540, 14222, 20519, 267, 609, 1010, 3854, 693, 717, 19789, 1640, 267, 568, 6592, 547, 723, 5747, 538, 476, 280, 6858, 589, 6185, 269, 23347, 2381, 5444, 11530, 1235, 1747, 1864, 607, 1373, 519, 1614, 4627, 1299, 3791, 5108, 1310, 594, 802, 327, 342, 27495, 269, 634, 918, 778, 327, 342, 1695, 553, 540, 2549, 828, 616, 18939, 540, 1772, 327, 8061, 10202, 269, 4340, 547, 681, 9874, 670, 5622, 10937, 267, 519, 918, 778, 327, 342, 21036, 2262, 2968, 2442, 538, 519, 3735, 476, 1626, 628, 2540, 1282, 519, 12081, 540, 14076, 320, 2494, 19453, 269, 1703, 616, 1082, 1202, 18587, 543, 22251, 799, 6961, 713, 3069, 267, 899, 519, 3283, 1336, 538, 7195, 7079, 267, 932, 1846, 340, 267, 590, 22462, 518, 543, 25166, 14505, 563, 298, 584, 2742, 2997, 30198, 18882, 454, 307, 13034, 269, 26673, 2917, 2829, 538, 1010, 681, 592, 619, 540, 3127, 543, 519, 12751, 338, 540, 14076, 1584, 3570, 630, 6245, 278, 1070, 602, 519, 918, 778, 342, 21036, 28334, 568, 5156, 547, 723, 12306, 538, 606, 2038, 5736, 693, 30323, 339, 553, 630, 26244, 1002, 553, 264, 593, 519, 12312, 5211, 538, 1459, 6377, 4437, 9618, 269, 1261, 4967, 602, 741, 8037, 16295, 540, 1379, 941, 918, 583, 8705, 267, 717, 19789, 1640, 267, 14878, 16223, 1495, 267, 3244, 327, 3253, 31843, 543, 23902, 8705, 630, 301, 531, 777, 3120, 264, 630, 718, 538, 1459, 6377, 8496, 27256, 21423, 1040, 901, 2034, 31023, 9194, 547, 8496, 327, 11535, 21423, 568, 1767, 547, 723, 1044, 15748, 896, 14076, 320, 715, 8403, 267, 519, 19416, 13653, 540, 23902, 8705, 563, 26944, 2103, 1533, 602, 519, 918, 659, 577, 777, 698, 1002, 553, 267, 899, 519, 25941, 749, 553, 543, 20368, 31730, 267, 12090, 607, 29815, 2456, 540, 519, 18631, 7060, 540, 519, 3148, 269, 1358, 1448, 856, 602, 621, 729, 1152, 1739, 519, 31774, 267, 1282, 519, 476, 279, 628, 1700, 1015, 628, 5553, 5084, 267, 540, 918, 2335, 879, 329, 630, 2958, 1308, 10160, 540, 1379, 1739, 519, 2736, 1575, 540, 670, 1513, 3873, 781, 10504, 1070, 602, 519, 918, 659, 577, 777, 698, 1002, 320, 1533, 7153, 607, 513, 9030, 1379, 538, 519, 932, 3711, 531, 14860, 540, 1459, 6377, 8496, 27256, 21423, 269, 901, 2070, 568, 7361, 6462, 676, 15456, 13742, 281, 918, 659, 577, 777, 698, 1002, 320, 11777, 720, 630, 332, 842, 539, 2871, 24473, 1922, 5831, 264, 4362, 538, 8496, 27256, 21423, 543, 717, 641, 752, 3553, 571, 1202, 18587, 563, 6097, 547, 23052, 6504, 14208, 1716, 548, 630, 5002, 276, 1070, 519, 918, 778, 327, 342, 1695, 553, 616, 1644, 547, 519, 717, 584, 329, 4673, 6261, 7806, 8811, 31730, 269, 1261, 14439, 10486, 1063, 519, 4408, 540, 519, 1899, 540, 17710, 540, 918, 2335, 879, 329, 630, 13232, 268, 1015, 628, 2540, 264, 609, 519, 6592, 1899, 540, 5216, 918, 778, 342, 21036, 17710, 540, 717, 19789, 1640, 630, 22372, 593, 519, 590, 553, 5174, 24660, 30115, 540, 8575, 1222, 531, 1916, 5475, 5681, 527, 571, 267, 8496, 327, 889, 1090, 327, 267, 20855, 327, 267, 1546, 7079, 1731, 543, 1772, 3873, 19453, 12199, 23902, 8705, 269, 634, 590, 553, 5174, 24660, 30115, 7389, 547, 476, 11820, 274, 267, 543, 2488, 513, 5444, 30688, 540, 519, 15194, 1920, 909, 547, 8575, 1222, 531, 630, 15367, 5747, 28069, 1354, 476, 8099, 275, 1916, 3519, 26810, 540, 20144, 1495, 9618, 454, 305, 24652, 2398, 603, 341, 4275, 329, 19453, 594, 454, 305, 24652, 2494, 19453, 594, 454, 3891, 729, 835, 540, 519, 1034, 11967, 15626, 540, 13019, 8663, 269, 1261, 729, 519, 18678, 19524, 540, 519, 28753, 531, 4229, 269, 1261, 3710, 519, 589, 1067, 10783, 269, 1261, 3710, 543, 10710, 865, 1082, 9699, 17633, 689, 9099, 9552, 563, 306, 1177, 2967, 808, 2967, 19453, 4083, 454, 3891, 3710, 519, 11909, 2749, 540, 26566, 760, 584, 543, 2947, 24666, 2616, 2510, 693, 16156, 267, 26566, 760, 584, 267, 5484, 31730, 267, 4569, 3120, 543, 772, 329, 329, 664, 269, 1261, 849, 3964, 29583, 785, 8061, 808, 328, 11454, 693, 26566, 760, 584, 563, 763, 26566, 760, 584, 10424, 1920, 568, 2808, 547, 581, 519, 2212, 2777, 540, 918, 778, 327, 342, 1695, 553, 269, 2311, 519, 942, 540, 3127, 781, 7115, 538, 476, 3707, 278, 972, 941, 865, 1082, 19036, 569, 2829, 267, 795, 698, 15077, 267, 555, 1731, 11446, 543, 824, 10040, 12199, 676, 1585, 8371, 540, 918, 778, 327, 342, 21036, 28334, 2066, 3003, 3127, 269, 2368, 19036, 569, 2829, 3769, 10778, 268, 26566, 760, 584, 630, 291, 327, 1495, 9618, 1070, 538, 1459, 6377, 14076, 553, 22474, 267, 8547, 538, 476, 280, 5780, 676, 14076, 320, 590, 617, 327, 8061, 454, 268, 1325, 8705, 267, 538, 1459, 6377, 14076, 553, 22474, 267, 8547, 538, 476, 10082, 271, 676, 681, 7776, 14076, 320, 2398, 520, 777, 19453, 454, 268, 14730, 582, 328, 267, 538, 1459, 6377, 13924, 778, 531, 21423, 267, 8547, 538, 476, 9965, 278, 676, 681, 3570, 7195, 1090, 454, 268, 631, 2967, 9618, 267, 538, 1459, 6377, 8496, 27256, 21423, 267, 8547, 538, 476, 10082, 279, 676, 14076, 320, 5484, 328, 19453, 454, 268, 3223, 517, 329, 9618, 267, 538, 1459, 6377, 2107, 20811, 267, 8547, 538, 476, 16825, 271, 676, 14076, 320, 29583, 785, 645, 7315, 329, 454, 268, 13669, 7815, 267, 538, 1459, 6377, 2107, 20811, 267, 8547, 538, 476, 15704, 272, 676, 14076, 320, 23902, 327, 926, 19453, 454, 268, 26527, 24652, 27517, 2967, 808, 2967, 19453, 4083, 454, 268, 26527, 24652, 10548, 19453, 594, 454, 268, 26527, 24652, 27517, 2967, 8496, 14833, 19453, 594, 454, 268, 26527, 24652, 27517, 2967, 2398, 520, 777, 19453, 454, 268, 26527, 24652, 27517, 2967, 2494, 19453, 4083, 454, 268, 26527, 8643, 22985, 27074, 8061, 328, 454, 268, 26527, 24652, 27517, 2967, 13225, 1177, 8643, 19453, 454, 268, 25905, 4144, 5984, 918, 636, 926, 454, 268, 26527, 24652, 22087, 2006, 629, 327, 19453, 454, 268, 681, 7776, 14076, 320, 2398, 520, 777, 19453, 454, 268, 681, 7776, 14076, 320, 25234, 6255, 1177, 541, 19453, 454, 268, 681, 7776, 14076, 320, 7195, 342, 656, 19453, 454, 268, 681, 7776, 14076, 320, 966, 710, 344, 19453, 454, 268, 681, 7776, 14076, 320, 2701, 617, 534, 19453, 454, 268, 670, 295, 1744, 686, 27517, 2967, 26527, 24652, 11184, 631, 836, 531, 19453, 454, 268, 29962, 670, 295, 14076, 681, 31381, 1744, 686, 27517, 2967, 26527, 24652, 11184, 808, 2967, 19453, 454, 268, 29962, 670, 295, 14076, 681, 31381, 16444, 27517, 2967, 26527, 24652, 11184, 1855, 329, 19453, 454, 268, 670, 295, 14076, 681, 31381, 1744, 686, 27517, 2967, 26527, 24652, 808, 527, 754, 571, 19453, 454, 268, 14076, 330, 636, 926, 13225, 12320, 5886, 327, 342, 926, 918, 636, 926, 454, 268, 30930, 540, 4095, 3778, 543, 9177, 267, 1635, 590, 841, 754, 571, 715, 987, 7354, 533, 269, 476, 15757, 454, 268, 634, 14076, 1584, 6022, 2167, 281, 634, 4886, 540, 606, 11629, 1116, 13910, 267, 476, 13970, 271, 268, 11260, 271, 533, 269, 476, 6434, 1107, 834, 1492, 918, 778, 342, 21036, 14076, 1584, 338, 630, 945, 1185, 5892, 12199, 538, 717, 19789, 1640, 3738, 3964, 2933, 538, 606, 11105, 3148, 2073, 15713, 20144, 1495, 541, 607, 741, 3854, 538, 476, 280, 6858, 5084, 9768, 476, 7818, 25171, 276, 5038, 278, 1789, 274, 4799, 268, 13669, 15318, 267, 595, 2106, 628, 807, 630, 1001, 276, 1040, 834, 3412, 698, 1456, 519, 14076, 1584, 12815, 538, 28753, 531, 1700, 5028, 631, 1168, 541, 2668, 634, 7831, 9699, 14890, 281, 2398, 603, 341, 4275, 329, 595, 879, 7315, 543, 519, 4095, 12815, 267, 476, 6344, 271, 1700, 1220, 271, 630, 650, 755, 3603, 1196, 12175, 11062, 2160, 4964, 269, 6032, 269, 476, 16409, 1700, 9264, 269, 8222, 281, 1015, 269, 6200, 278, 14727, 19447, 7818, 14530, 277, 3451, 7176, 280, 274, 269, 24879, 269, 9768, 476, 7818, 14530, 277, 3451, 7176, 280, 274, 563, 1607, 568, 513, 4704, 547, 623, 1690, 329, 684, 781, 1920, 2012, 267, 918, 778, 327, 342, 21036, 267, 799, 1797, 12475, 18857, 454, 268, 834, 290, 1746, 3140, 6054, 267, 26566, 760, 584, 887, 344, 1023, 3409, 547, 581, 18939, 540, 7083, 681, 4821, 2668, 634, 1715, 4095, 18124, 269, 8158, 476, 1626, 5130, 476, 1708, 272, 563, 268, 3778, 540, 14076, 553, 22474, 676, 681, 9874, 670, 5622, 10937, 8791, 281, 763, 918, 778, 342, 1695, 553, 540, 667, 14833, 1180, 9618, 533, 269, 476, 273, 9768, 476, 7818, 279, 1321, 280, 1015, 279, 3445, 277, 454, 268, 29518, 584, 267, 715, 663, 7236, 16429, 3873, 630, 1220, 278, 1040, 834, 14737, 553, 16418, 532, 513, 9255, 538, 3778, 2668, 769, 5617, 267, 24527, 282, 645, 709, 4546, 267, 3967, 282, 30605, 267, 645, 529, 342, 1690, 527, 282, 3474, 628, 553, 541, 27821, 267, 966, 756, 617, 327, 282, 7313, 924, 9109, 267, 24053, 630, 2644, 12175, 634, 4317, 543, 519, 13507, 545, 281, 11730, 4083, 269, 590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7470, 5157, 6012, 329, 316, 2652, 476, 272, 2639, 1038, 952, 7003, 263, 28255, 264, 2652, 476, 271, 610, 7003, 263, 28255, 264, 2652, 562, 2878, 476, 273, 281, 2132, 3268, 454, 1038, 1247, 7003, 263, 28255, 264, 3436, 476, 271, 912, 2018, 585, 9041, 538, 2039, 12759, 263, 28255, 15892, 3546, 1535, 267, 586, 815, 20313, 21014, 263, 271, 994, 3546, 585, 1535, 328, 267, 586, 329, 538, 27883, 343, 1341, 476, 272, 267, 586, 1070, 630, 343, 910, 476, 272, 267, 586, 1070, 630, 343, 267, 586, 1341, 476, 272, 1070, 630, 343, 267, 586, 910, 476, 272, 13580, 912, 7386, 952, 1535, 328, 13843, 476, 271, 543, 1535, 328, 2999, 562, 543, 586, 329, 13843, 476, 271, 543, 586, 329, 2999, 562, 543, 7470, 314, 3495, 6012, 344, 329, 316, 2652, 476, 271, 912, 13376, 20313, 6910, 9230, 3495, 267, 586, 329, 4917, 13376, 7470, 314, 3495, 6012, 344, 329, 316, 815, 910, 272, 454, 2018, 3268, 6834, 476, 272, 692, 1038, 2132, 3268, 692, 825, 1219, 3193, 291, 2700, 273, 4311, 267, 7470, 281, 5903, 314, 8266, 27776, 316, 8079, 9847, 703, 912, 1038, 8173, 1038, 17276, 478, 507, 420, 371, 363, 16088, 14035, 504, 418, 374, 494, 289, 12396, 454, 1038, 476, 272, 269, 476, 10429, 486, 16533, 484, 418, 375, 350, 420, 370, 367, 23521, 350, 10524, 370, 7511, 417, 507, 494, 21550, 485, 418, 371, 375, 20693, 510, 28996, 421, 502, 509, 28578, 25051, 497, 18809, 8147, 19540, 491, 13200, 365, 13213, 495, 28996, 13213, 506, 421, 479, 491, 31308, 484, 8147, 14756, 509, 18777, 350, 18777, 350, 28997, 501, 420, 371, 507, 419, 355, 375, 454, 1038, 8173, 1038, 1064, 815, 27883, 272, 267, 476, 271, 1070, 630, 271, 267, 476, 272, 1070, 11196, 272, 267, 476, 271, 1070, 630, 271, 267, 910, 272, 22708, 1038, 544, 267, 562, 815, 7003, 14116, 5090, 1070, 7003, 14116, 5090, 314, 271, 7481, 1038, 31185, 815, 20886, 271, 316, 2608, 562, 585, 9041, 538, 2039, 9852, 22708, 1038, 10272, 815, 1305, 4590, 1038, 585, 1775, 538, 2039, 9852, 2187, 2018, 585, 795, 538, 2039, 3799, 2187, 3546, 952, 7470, 5157, 6012, 329, 316, 2652, 476, 272, 912, 7386, 10272, 14491, 9230, 328, 267, 795, 4917, 1038, 20313, 815, 10070, 19709, 4302, 263, 6665, 1243, 994, 1038, 759, 815, 10581, 3488, 268, 8882, 5073, 1038, 1247, 20313, 912, 2018, 1535, 267, 586, 815, 20313, 4877, 963, 1111, 4590, 2018, 585, 533, 538, 1064, 912, 3546, 513, 267, 536, 815, 533, 454, 3546, 1535, 320, 267, 586, 321, 815, 1535, 1341, 513, 267, 586, 1341, 536, 454, 3546, 952, 476, 271, 10922, 1535, 320, 2999, 544, 543, 476, 271, 10922, 586, 321, 2999, 562, 543, 630, 343, 320, 267, 586, 321, 264, 711, 538, 10272, 912, 7386, 20313, 6910, 9230, 343, 320, 267, 586, 321, 4917, 7386, 10272, 14491, 9230, 343, 320, 267, 586, 321, 4917, 7386, 31185, 20572, 320, 6012, 344, 321, 316, 815, 31185, 20572, 6012, 344, 316, 1341, 476, 272, 454, 7386, 759, 815, 3193, 263, 637, 267, 31185, 20572, 320, 6012, 344, 321, 7481, 1038, 2132, 759, 952, 759, 11203, 10581, 3488, 268, 8882, 10807, 3116, 910, 272, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 7470, 815, 20886, 272, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 271, 267, 476, 271, 27663, 825, 1820, 263, 11405, 14061, 10946, 291, 2700, 272, 14116, 5090, 4917, 825, 1820, 263, 11405, 14061, 10946, 291, 2700, 273, 14116, 5090, 4917, 0, 12163, 30589, 269, 476, 13213, 508, 14756, 511, 12255, 14756, 482, 454, 14756, 503, 27936, 22047, 11590, 490, 13213, 505, 10254, 370, 12255, 14756, 482, 15358, 2073, 17276, 487, 378, 28996, 12571, 360, 20069, 25203, 372, 12571, 490, 12255, 19404, 493, 7511, 476, 271, 13127, 23687, 476, 272, 476, 7511, 31006, 421, 499, 379, 13213, 508, 14756, 511, 31878, 12255, 14756, 482, 8147, 23946, 370, 13213, 498, 18713, 508, 13644, 354, 31878, 12255, 14756, 482, 7511, 421, 499, 379, 18021, 355, 12486, 692, 24372, 419, 353, 374, 28032, 489, 476, 272, 1384, 27447, 24662, 281, 15358, 815, 1496, 271, 267, 272, 2639, 27447, 24731, 281, 476, 273, 454, 13644, 368, 13107, 492, 281, 1496, 271, 267, 476, 272, 316, 476, 15159, 10429, 371, 20069, 25203, 372, 12571, 490, 12255, 19404, 493, 271, 25520, 272, 7511, 31006, 421, 499, 379, 13213, 508, 14756, 511, 31878, 12255, 14756, 482, 25707, 419, 353, 374, 28032, 489, 476, 273, 1384, 27447, 24662, 281, 15358, 815, 1496, 271, 267, 272, 267, 271, 2639, 27447, 24731, 281, 476, 273, 454, 13644, 368, 13107, 492, 281, 1496, 271, 267, 476, 272, 316, 630, 16043, 500, 1496, 272, 267, 476, 271, 8079, 476, 15159, 10429, 371, 20069, 25203, 372, 12571, 490, 12255, 19404, 493, 271, 25520, 272, 7511, 31006, 421, 499, 379, 13213, 508, 14756, 511, 31878, 12255, 14756, 482, 25707, 24372, 418, 493, 494, 419, 353, 374, 16088, 692, 272, 10922, 15358, 32324, 10922, 476, 10755, 454, 333, 4548, 5157, 316, 476, 21251, 15159, 476, 271, 13127, 364, 365, 15159, 476, 272, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 270, 4186, 27631, 268, 6783, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 12163, 5228, 17511, 1104, 5903, 7531, 5035, 8827, 912, 825, 1219, 1265, 16655, 21920, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 8173, 1038, 17276, 478, 507, 420, 371, 363, 16088, 417, 28187, 31563, 421, 506, 478, 28884, 18777, 350, 28997, 501, 4905, 25060, 373, 421, 483, 491, 28793, 8147, 23746, 16533, 484, 271, 30853, 20992, 268, 272, 23521, 354, 18777, 350, 28997, 501, 8147, 30244, 21550, 371, 25203, 372, 12571, 490, 14748, 272, 25520, 271, 23523, 501, 28996, 7511, 14756, 497, 31563, 20992, 271, 454, 1038, 7711, 12407, 15358, 912, 1038, 7711, 8873, 912, 1038, 8173, 1038, 524, 660, 815, 476, 271, 454, 1038, 546, 545, 815, 2715, 271, 281, 910, 272, 8679, 1038, 759, 815, 476, 271, 454, 1038, 585, 1775, 267, 1003, 538, 26246, 25225, 2187, 2018, 524, 660, 6834, 476, 272, 952, 1003, 2652, 476, 272, 3116, 910, 272, 454, 2018, 952, 524, 660, 538, 546, 545, 912, 3546, 759, 815, 3193, 263, 637, 267, 1775, 910, 546, 545, 314, 322, 660, 7481, 2018, 3116, 912, 3546, 546, 545, 314, 322, 660, 316, 815, 1775, 454, 1038, 2132, 759, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 15358, 815, 1496, 271, 267, 476, 272, 2639, 825, 1820, 263, 11405, 14061, 22772, 16655, 21920, 25225, 4917, 0, 12163, 14756, 503, 27936, 22047, 10524, 483, 25060, 483, 12571, 360, 27962, 16533, 493, 19540, 503, 21211, 30006, 491, 25520, 419, 358, 374, 21550, 376, 1109, 262, 1412, 1109, 7511, 21211, 31033, 4970, 366, 521, 8147, 13213, 498, 18713, 508, 10429, 370, 31006, 12571, 492, 22047, 22287, 499, 13644, 491, 7511, 421, 499, 379, 18021, 355, 12486, 417, 28187, 31563, 21211, 31033, 4970, 366, 10524, 492, 26266, 355, 12571, 495, 9463, 367, 418, 375, 504, 20693, 357, 13107, 378, 419, 353, 374, 8147, 421, 480, 352, 18263, 486, 31006, 12571, 492, 22047, 22287, 499, 13644, 491, 16533, 365, 15159, 31006, 12571, 492, 24731, 27064, 364, 7511, 22287, 499, 13644, 491, 12486, 692, 417, 28187, 31563, 21251, 11858, 502, 21928, 31006, 12571, 492, 22047, 22287, 499, 13644, 491, 8147, 13644, 371, 13213, 498, 18713, 508, 476, 271, 1109, 12486, 692, 13644, 368, 13107, 492, 16088, 22047, 22287, 499, 13644, 491, 15159, 418, 490, 485, 10524, 483, 13200, 365, 21211, 30006, 491, 14756, 482, 29873, 18998, 21251, 25060, 483, 12571, 360, 10524, 375, 12916, 499, 419, 358, 374, 21550, 376, 21211, 31033, 7511, 476, 31006, 27962, 31878, 21211, 31033, 4970, 366, 12486, 692, 24372, 419, 353, 374, 28032, 489, 1384, 27447, 24662, 281, 834, 15916, 2622, 4840, 27447, 24731, 281, 476, 276, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 15828, 2654, 6361, 2000, 770, 30087, 454, 420, 495, 501, 30853, 23521, 481, 25051, 496, 30903, 484, 19867, 352, 419, 377, 495, 14756, 506, 19867, 478, 20069, 12486, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 420, 479, 498, 419, 367, 375, 14395, 502, 25913, 26406, 486, 23521, 481, 8147, 30837, 508, 417, 499, 484, 4970, 504, 420, 377, 361, 420, 377, 377, 13644, 371, 21796, 357, 13107, 492, 24731, 14035, 482, 25707, 20701, 454, 5035, 8827, 912, 825, 1219, 3259, 8170, 8310, 17504, 4311, 267, 521, 281, 1193, 264, 9847, 703, 912, 1038, 8173, 1038, 17276, 478, 507, 420, 371, 363, 16088, 21211, 31033, 4970, 366, 454, 1038, 476, 272, 18998, 20889, 23746, 23284, 12571, 490, 28793, 13213, 485, 418, 375, 353, 26406, 487, 13213, 508, 14756, 511, 7511, 14035, 504, 14748, 419, 358, 374, 21211, 31033, 454, 1038, 476, 273, 18998, 25051, 497, 24731, 27064, 364, 420, 492, 371, 9463, 500, 4289, 18809, 7511, 12255, 28793, 8147, 421, 506, 478, 28884, 10254, 353, 13161, 511, 4289, 15159, 12571, 355, 20992, 419, 358, 374, 8147, 21251, 419, 482, 370, 1551, 15631, 272, 316, 30244, 26175, 491, 25263, 504, 418, 488, 354, 421, 498, 503, 454, 1038, 8173, 1038, 952, 711, 521, 21858, 10031, 2018, 2132, 476, 271, 454, 1038, 2132, 7003, 4433, 21858, 3890, 15631, 272, 7481, 0, 12163, 2791, 723, 513, 1360, 1804, 4009, 3774, 543, 513, 9764, 546, 691, 4580, 5116, 593, 519, 3774, 269, 1109, 2791, 723, 1044, 13934, 547, 12235, 546, 11301, 883, 519, 4604, 9420, 19507, 539, 269, 1109, 291, 11301, 16207, 693, 519, 3774, 616, 6719, 607, 606, 5044, 540, 1109, 9557, 593, 513, 476, 273, 291, 7077, 269, 24372, 27987, 1109, 1492, 5021, 1297, 540, 2798, 602, 616, 1369, 610, 1109, 12340, 1109, 517, 1109, 1415, 9764, 546, 691, 4580, 540, 8953, 1109, 337, 780, 24372, 7078, 476, 272, 1384, 692, 19152, 281, 2798, 815, 1496, 15631, 273, 267, 271, 25662, 273, 267, 271, 25662, 271, 267, 273, 25662, 271, 16427, 273, 316, 3910, 678, 815, 476, 273, 454, 20479, 281, 476, 275, 454, 15008, 281, 17781, 546, 691, 4580, 609, 4099, 538, 630, 271, 267, 271, 264, 543, 8953, 815, 476, 273, 2270, 782, 2798, 563, 7078, 476, 273, 1384, 692, 19152, 281, 2798, 815, 1496, 15631, 274, 267, 271, 25662, 274, 267, 271, 25662, 273, 267, 277, 25662, 276, 267, 275, 25662, 271, 267, 280, 25662, 278, 267, 279, 316, 3910, 678, 815, 476, 276, 454, 20479, 281, 476, 276, 454, 15008, 281, 17781, 546, 691, 4580, 609, 4099, 538, 630, 271, 267, 275, 264, 543, 8953, 815, 476, 276, 2270, 782, 2798, 4849, 519, 1448, 630, 278, 267, 279, 1916, 7078, 476, 274, 1384, 19152, 281, 2798, 815, 1496, 15631, 273, 267, 271, 25662, 273, 267, 271, 25662, 271, 267, 273, 25662, 271, 16427, 273, 316, 3910, 678, 815, 476, 272, 454, 20479, 281, 476, 272, 454, 7078, 476, 275, 1384, 19152, 281, 2798, 815, 20886, 272, 267, 273, 25662, 274, 267, 276, 25662, 272, 16427, 272, 25662, 273, 267, 274, 25662, 275, 267, 272, 25662, 272, 267, 274, 316, 3910, 678, 815, 476, 273, 454, 20479, 281, 476, 275, 454, 24372, 3519, 14259, 6493, 1384, 272, 10922, 2798, 32324, 10922, 476, 1911, 454, 9557, 5157, 4940, 26319, 2652, 476, 273, 454, 268, 1015, 317, 275, 10922, 2798, 5157, 6012, 271, 3910, 2798, 5157, 6012, 272, 316, 10922, 476, 1015, 317, 275, 454, 272, 10922, 678, 10922, 476, 4335, 271, 692, 23521, 354, 418, 374, 494, 16088, 20693, 505, 19867, 352, 27818, 8867, 564, 24927, 24724, 454, 421, 497, 378, 26406, 354, 16088, 10059, 2517, 548, 564, 13892, 2275, 333, 2593, 24579, 21793, 8276, 1314, 3065, 5991, 3784, 6361, 1673, 11301, 15564, 728, 6361, 8584, 2275, 1844, 983, 1673, 691, 4580, 454, 420, 495, 501, 30853, 23521, 481, 25051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14546, 547, 3035, 519, 3501, 3666, 585, 18706, 21692, 779, 3638, 8137, 563, 268, 18323, 30059, 281, 18554, 519, 5986, 2837, 29367, 547, 2327, 519, 4998, 9403, 543, 31926, 540, 18706, 21692, 779, 5820, 563, 268, 667, 5744, 18181, 10613, 281, 2755, 12926, 11273, 593, 519, 23041, 9008, 267, 2015, 1210, 513, 3500, 3434, 518, 610, 2604, 3434, 518, 585, 13418, 610, 1989, 3739, 585, 3773, 3178, 540, 8137, 563, 268, 3057, 3215, 18903, 281, 5606, 2224, 5779, 609, 8137, 543, 31926, 676, 2261, 3215, 621, 1354, 6220, 621, 883, 519, 290, 817, 21692, 563, 4462, 557, 4979, 18706, 21692, 281, 589, 26943, 2435, 31660, 454, 3963, 1473, 592, 613, 538, 18706, 21692, 888, 2026, 596, 7832, 593, 519, 18706, 21692, 1529, 2435, 27356, 8124, 267, 1896, 8903, 4128, 939, 330, 517, 596, 912, 268, 23433, 543, 24956, 545, 4469, 2948, 281, 18706, 21692, 26078, 757, 606, 26080, 8137, 9043, 267, 513, 18900, 11100, 540, 24996, 267, 29284, 267, 543, 29902, 4967, 602, 14767, 513, 5963, 5023, 21226, 532, 1995, 563, 268, 25417, 10871, 18877, 281, 1635, 8508, 290, 817, 21692, 267, 596, 3565, 547, 519, 32351, 540, 2199, 2950, 267, 5807, 513, 2318, 1764, 593, 519, 2686, 543, 11477, 6561, 540, 4525, 899, 27425, 563, 268, 715, 8130, 1190, 23123, 281, 18706, 21692, 779, 4295, 2609, 1107, 3165, 267, 5388, 267, 11922, 267, 543, 14546, 1107, 1683, 1898, 5567, 267, 5356, 513, 1072, 23655, 18226, 1995, 563, 1103, 3932, 267, 18706, 817, 564, 4920, 322, 1742, 922, 11477, 8129, 267, 22805, 513, 13795, 602, 11498, 689, 8978, 5072, 547, 2413, 6539, 29353, 269, 6787, 3695, 922, 3638, 1686, 267, 5260, 1681, 3309, 7648, 267, 610, 6220, 621, 883, 707, 3232, 6980, 267, 18706, 21692, 655, 1120, 525, 607, 513, 11684, 543, 7524, 11477, 17576, 267, 18136, 596, 547, 32696, 538, 513, 2686, 543, 8819, 1258, 5669, 7045, 269, 0, 2026, 2051, 339, 8735, 781, 21239, 8057, 1282, 519, 476, 3422, 271, 338, 1310, 646, 1185, 11074, 10916, 585, 2776, 560, 15607, 267, 519, 2594, 2754, 19632, 543, 556, 1170, 4240, 9867, 2051, 339, 8735, 19827, 609, 1010, 2012, 30326, 10268, 267, 1498, 538, 1082, 2665, 267, 899, 593, 667, 752, 541, 267, 646, 1185, 8385, 1044, 513, 521, 573, 17507, 269, 1717, 267, 513, 24794, 8826, 2689, 585, 2353, 16443, 545, 6700, 602, 29307, 519, 17581, 607, 952, 621, 941, 8385, 3366, 676, 2051, 339, 8735, 729, 3617, 2016, 602, 1010, 834, 4026, 550, 257, 12644, 941, 1419, 519, 1034, 8903, 563, 291, 752, 541, 630, 12626, 12332, 281, 1315, 323, 389, 495, 27474, 16659, 330, 389, 495, 27474, 337, 267, 476, 16659, 323, 19508, 330, 16745, 337, 270, 282, 23210, 281, 314, 6767, 269, 6390, 390, 479, 8079, 568, 519, 3854, 543, 4102, 2749, 540, 7354, 20235, 563, 2005, 568, 4092, 593, 519, 7167, 13305, 1068, 18686, 593, 519, 9533, 5032, 543, 568, 519, 7262, 2865, 2749, 538, 519, 6196, 2622, 543, 593, 519, 3979, 22163, 269, 4706, 2990, 267, 593, 519, 7262, 6316, 540, 4000, 267, 568, 606, 25368, 22576, 1448, 585, 1098, 268, 4263, 23007, 543, 3864, 4123, 282, 713, 1249, 29211, 922, 2208, 883, 513, 2101, 6237, 2823, 563, 6097, 547, 476, 4029, 5412, 476, 1220, 276, 4013, 9193, 267, 519, 2749, 540, 667, 752, 541, 1697, 814, 513, 2551, 540, 476, 272, 267, 27157, 267, 6795, 275, 267, 6466, 519, 2551, 540, 519, 667, 752, 541, 23195, 1858, 568, 6059, 693, 476, 273, 269, 3393, 332, 11669, 1004, 563, 763, 7167, 13305, 1068, 25345, 729, 12306, 267, 1100, 2663, 982, 519, 476, 1428, 628, 2540, 267, 676, 519, 2274, 321, 537, 1004, 267, 606, 6864, 659, 8590, 6803, 1895, 1644, 547, 519, 15231, 26728, 1993, 543, 590, 699, 518, 269, 634, 3312, 14252, 281, 744, 340, 752, 600, 267, 31436, 528, 267, 962, 4752, 543, 30567, 267, 1869, 13822, 3982, 1947, 2274, 321, 537, 16973, 540, 519, 2749, 2221, 269, 769, 476, 13893, 275, 267, 519, 14082, 6603, 519, 7345, 540, 667, 752, 541, 267, 7620, 607, 10553, 268, 571, 11107, 267, 855, 941, 1065, 6160, 539, 676, 519, 25165, 593, 519, 24528, 269, 13458, 995, 3346, 729, 6368, 8118, 538, 476, 13970, 277, 676, 4144, 690, 334, 717, 2345, 267, 543, 519, 15922, 729, 13604, 5219, 547, 607, 519, 834, 17951, 571, 632, 2142, 345, 8948, 7865, 257, 630, 12898, 519, 2012, 540, 519, 2199, 14610, 1040, 634, 15922, 540, 834, 6826, 345, 8948, 7865, 257, 1131, 4196, 607, 513, 2565, 3247, 585, 519, 14082, 3127, 14022, 27885, 540, 519, 2038, 476, 1626, 628, 2540, 267, 1141, 1804, 7904, 1115, 1131, 22991, 2322, 538, 267, 1312, 593, 741, 21286, 543, 2132, 15322, 689, 3127, 267, 547, 7816, 267, 2445, 4195, 1216, 689, 519, 678, 643, 2544, 1206, 543, 19401, 2059, 519, 7167, 13305, 1068, 13272, 543, 4123, 585, 14074, 609, 519, 2199, 1004, 585, 741, 6967, 22116, 269, 630, 2005, 729, 28020, 1282, 835, 540, 891, 13515, 267, 538, 476, 5611, 272, 267, 1141, 519, 19953, 660, 710, 4044, 1807, 589, 1067, 15282, 26751, 335, 25458, 328, 3459, 547, 4020, 1010, 834, 6124, 2622, 257, 8367, 827, 3013, 8094, 291, 752, 541, 786, 581, 2212, 23164, 519, 7754, 528, 4821, 3942, 693, 476, 279, 533, 6230, 3267, 968, 291, 752, 541, 568, 707, 12746, 4368, 538, 713, 3059, 1158, 2223, 646, 1767, 3267, 667, 752, 541, 779, 26813, 2407, 27480, 17581, 968, 306, 599, 621, 11088, 892, 729, 5950, 5001, 2063, 3923, 998, 741, 6003, 9210, 1112, 3055, 563, 763, 25812, 1402, 22256, 786, 13686, 2575, 6592, 543, 3812, 538, 1715, 3840, 543, 667, 752, 541, 676, 12379, 17850, 715, 1372, 613, 334, 3250, 334, 543, 715, 323, 644, 15120, 334, 631, 12112, 987, 7236, 269, 631, 1794, 342, 2967, 786, 849, 1685, 2575, 689, 1200, 3105, 11549, 4548, 543, 5654, 4464, 547, 4687, 1200, 5767, 13144, 609, 11655, 563, 1103, 476, 1001, 271, 267, 646, 5950, 519, 17581, 7981, 1234, 298, 8054, 267, 1247, 538, 476, 1001, 274, 646, 838, 1177, 2740, 20707, 298, 2752, 267, 519, 17581, 602, 6603, 1297, 476, 274, 593, 519, 1775, 307, 17480, 3162, 3979, 295, 760, 31022, 24250, 777, 5750, 269, 20707, 298, 2752, 4083, 630, 1001, 277, 264, 568, 918, 8054, 320, 781, 3791, 18638, 4429, 3891, 4769, 1406, 267, 3079, 4974, 2575, 538, 667, 752, 541, 543, 267, 2663, 267, 693, 519, 2142, 14513, 5025, 337, 1206, 1153, 538, 8303, 269, 8575, 531, 814, 5950, 936, 513, 18797, 11549, 4548, 267, 535, 6748, 2757, 3979, 543, 5375, 4992, 543, 2324, 609, 12696, 1519, 20574, 2037, 334, 563, 29820, 538, 667, 752, 541, 267, 7354, 20235, 267, 744, 3241, 2280, 1500, 1010, 26813, 538, 519, 2575, 2872, 609, 1010, 17581, 834, 5522, 2541, 267, 5257, 5950, 538, 476, 1001, 272, 269, 1261, 4682, 593, 547, 3132, 1079, 824, 3811, 11549, 4548, 602, 941, 513, 3575, 540, 12048, 31022, 267, 1187, 330, 543, 12563, 1790, 641, 269, 0, 31568, 26258, 568, 513, 3638, 2707, 540, 8324, 589, 267, 645, 267, 543, 595, 602, 948, 538, 14304, 519, 4761, 1062, 269, 898, 267, 4061, 267, 24506, 519, 1981, 540, 1455, 5563, 563, 273, 269, 26678, 6775, 454, 17746, 11692, 568, 1455, 1282, 6379, 269, 10793, 26258, 3568, 1164, 8192, 6775, 799, 2337, 14867, 12536, 543, 2569, 19228, 269, 898, 849, 6087, 596, 547, 2743, 519, 5227, 3232, 27108, 540, 6775, 269, 700, 1046, 10670, 267, 513, 6484, 11285, 538, 17842, 267, 8591, 267, 968, 11947, 6775, 1543, 540, 13544, 26258, 666, 849, 948, 1832, 519, 19786, 2635, 543, 8647, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5904, 543, 5665, 1949, 267, 4481, 1565, 827, 1945, 1572, 834, 298, 1941, 9515, 961, 2437, 610, 737, 3333, 267, 799, 2337, 1004, 946, 741, 5904, 811, 7561, 269, 5213, 1405, 5855, 952, 596, 1810, 1405, 1174, 891, 2474, 2943, 282, 649, 3513, 2736, 621, 1524, 1927, 2439, 5331, 707, 1920, 4422, 593, 16314, 543, 24502, 3388, 789, 991, 1765, 743, 582, 1127, 267, 5694, 1962, 16640, 267, 16152, 267, 3756, 267, 543, 7851, 269, 2659, 1920, 2818, 782, 723, 2189, 5107, 1282, 519, 7552, 269, 2290, 1268, 11479, 267, 1776, 4044, 919, 267, 2576, 3116, 8952, 3025, 7038, 539, 267, 543, 865, 593, 269, 3962, 1909, 814, 922, 2816, 267, 855, 950, 2324, 1927, 267, 789, 2327, 519, 2898, 1920, 10301, 741, 10278, 12347, 269, 901, 568, 2147, 547, 875, 513, 2780, 13333, 269, 589, 2780, 849, 2115, 2645, 267, 1175, 899, 707, 1920, 1281, 593, 16314, 267, 3850, 621, 547, 798, 1082, 1919, 269, 1452, 2645, 616, 1572, 2878, 7809, 2264, 1262, 780, 3086, 267, 1577, 781, 1589, 540, 606, 19633, 1141, 14742, 1491, 1055, 543, 2244, 269, 5794, 7964, 2154, 6266, 540, 2792, 1063, 21804, 267, 2011, 6808, 27196, 267, 11707, 267, 543, 15915, 269, 1358, 1256, 3717, 1114, 4654, 267, 1318, 286, 1809, 11214, 267, 789, 4383, 547, 960, 1927, 1210, 513, 1455, 1893, 1765, 12626, 269, 2201, 513, 2780, 267, 972, 616, 1079, 1292, 3755, 945, 1616, 547, 2911, 547, 835, 1776, 281, 3425, 543, 6191, 269, 1677, 8115, 713, 7934, 267, 649, 946, 2027, 1480, 22345, 762, 5528, 1572, 2878, 257, 32491, 2719, 4654, 1701, 1262, 2368, 2442, 3283, 616, 595, 267, 595, 10030, 267, 5124, 267, 10084, 267, 543, 9811, 267, 596, 31665, 621, 267, 737, 3333, 2439, 9213, 267, 649, 1445, 593, 918, 1941, 9515, 961, 630, 528, 737, 3333, 1070, 513, 3532, 1907, 1031, 5631, 1369, 519, 6167, 21197, 5665, 1062, 269, 6056, 540, 6167, 21197, 607, 519, 2949, 20148, 693, 606, 19633, 1818, 2386, 1169, 7077, 4991, 3144, 1416, 540, 5265, 269, 898, 5849, 602, 782, 519, 3301, 1568, 1134, 1927, 269, 1924, 1018, 2306, 737, 3333, 2027, 1851, 824, 2645, 3330, 6167, 21197, 286, 4270, 267, 4952, 1373, 2111, 547, 2285, 12981, 547, 519, 3003, 19633, 4238, 2319, 3533, 543, 3362, 267, 4180, 5347, 22892, 585, 3025, 3238, 269, 2334, 781, 2186, 540, 1018, 737, 3333, 13071, 596, 798, 256, 2060, 2241, 1913, 543, 5220, 267, 596, 666, 2995, 519, 2780, 1950, 3527, 267, 971, 607, 12180, 6119, 267, 4881, 2789, 3292, 8195, 267, 543, 2870, 31930, 585, 16625, 4247, 780, 4131, 803, 2671, 513, 2656, 1383, 547, 13686, 519, 9059, 540, 737, 3333, 1384, 22428, 596, 1185, 7366, 540, 6337, 16559, 2066, 1114, 32766, 593, 707, 2780, 267, 543, 596, 4941, 547, 5531, 873, 782, 883, 835, 1747, 3957, 1412, 7069, 20124, 2704, 321, 636, 9538, 5502, 540, 16924, 3001, 1142, 4605, 3758, 267, 596, 1223, 2328, 513, 2582, 4971, 538, 737, 3333, 899, 713, 912, 3499, 321, 1662, 454, 22772, 1547, 910, 4067, 834, 265, 329, 17989, 257, 910, 334, 910, 4067, 834, 265, 335, 978, 257, 1923, 1535, 16911, 910, 296, 24001, 544, 341, 15079, 3733, 20124, 2704, 321, 636, 13045, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 9115, 454, 1607, 5816, 568, 585, 4147, 2473, 296, 267, 8950, 3163, 4841, 267, 18310, 269, 634, 5816, 568, 513, 5758, 540, 3848, 476, 274, 267, 540, 519, 2780, 2257, 1433, 676, 918, 761, 328, 781, 22910, 269, 7490, 1224, 519, 1433, 585, 3877, 563, 6637, 476, 274, 267, 12857, 1114, 2010, 540, 3301, 538, 3376, 6688, 593, 5618, 269, 2991, 602, 267, 519, 5354, 540, 713, 3184, 568, 6131, 547, 1620, 21952, 7010, 563, 25413, 2264, 568, 513, 1305, 540, 3292, 2813, 547, 1685, 1808, 4247, 269, 12229, 3292, 616, 2854, 538, 1585, 5752, 4654, 899, 595, 267, 595, 10030, 267, 5124, 267, 10084, 267, 3092, 269, 26682, 543, 18972, 5968, 609, 1142, 824, 609, 519, 948, 540, 3301, 269, 4107, 540, 721, 917, 3156, 593, 938, 16389, 899, 9365, 267, 17749, 267, 3092, 269, 1717, 267, 519, 3301, 666, 581, 5258, 883, 1896, 6688, 269, 4033, 3029, 540, 3301, 616, 3156, 538, 23252, 267, 11067, 6191, 267, 26873, 267, 5230, 6191, 538, 5663, 6080, 267, 543, 865, 593, 563, 2467, 616, 17618, 2947, 6688, 540, 3301, 912, 272, 269, 13335, 12229, 454, 25413, 2264, 602, 568, 2813, 547, 4217, 967, 643, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 1941, 9515, 961, 630, 802, 327, 264, 14691, 257, 607, 851, 540, 834, 28035, 1315, 21952, 7010, 1315, 6167, 21197, 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, 279, 281, 4210, 710, 12594, 543, 30839, 5004, 692, 296, 269, 4985, 692, 18933, 710, 6484, 543, 8023, 2359, 1404, 513, 2565, 1909, 538, 519, 2949, 1072, 543, 7607, 540, 2220, 710, 31459, 269, 7743, 6484, 666, 948, 2061, 2068, 267, 2087, 2208, 3928, 267, 543, 3986, 10285, 2773, 269, 769, 713, 3184, 267, 649, 786, 2263, 1883, 3344, 540, 2220, 710, 6484, 543, 8023, 2359, 267, 1519, 8770, 4170, 267, 3049, 19862, 267, 543, 8023, 2994, 269, 1284, 786, 849, 4983, 1699, 3466, 543, 1382, 538, 519, 2361, 780, 2862, 269, 715, 22021, 21976, 692, 288, 269, 5839, 1258, 19153, 692, 272, 269, 2961, 8510, 6233, 910, 634, 3119, 1648, 2707, 585, 2220, 710, 267, 11950, 1058, 1118, 909, 5111, 476, 2004, 268, 3583, 260, 540, 519, 2732, 269, 5871, 2959, 1331, 8970, 267, 24061, 267, 543, 10568, 563, 273, 269, 26287, 1231, 910, 14265, 1017, 585, 2208, 543, 12093, 267, 5946, 1058, 17663, 1472, 476, 1691, 268, 736, 260, 540, 519, 2732, 269, 590, 1195, 9700, 7594, 543, 1253, 650, 619, 12015, 9274, 609, 1151, 889, 956, 630, 24884, 14899, 264, 616, 1455, 3940, 2959, 563, 274, 269, 674, 1846, 910, 21278, 1898, 9761, 7408, 543, 3606, 1648, 267, 9600, 2272, 585, 827, 476, 273, 268, 276, 260, 540, 519, 2732, 269, 15019, 3681, 1331, 3903, 3043, 31294, 267, 16738, 3170, 267, 543, 29704, 3282, 780, 289, 269, 12130, 1258, 19153, 692, 272, 269, 23554, 7530, 910, 12708, 585, 1585, 12214, 3252, 267, 6171, 2157, 1590, 581, 5402, 16913, 269, 6206, 8324, 1331, 589, 267, 667, 267, 661, 267, 918, 267, 543, 519, 645, 10687, 14658, 1895, 563, 273, 269, 30200, 910, 11879, 3334, 540, 7633, 267, 4522, 267, 10399, 267, 543, 11476, 267, 6886, 971, 607, 7513, 267, 16903, 267, 11379, 267, 13101, 267, 9770, 267, 17296, 267, 16247, 267, 13058, 267, 7601, 267, 22670, 267, 4401, 267, 543, 31093, 991, 547, 581, 7059, 14013, 780, 7656, 269, 16376, 4813, 1637, 692, 288, 269, 26678, 1912, 1162, 692, 272, 269, 853, 6621, 5123, 910, 23850, 585, 8808, 6477, 7410, 267, 25690, 11326, 3335, 2270, 3810, 7558, 1043, 5820, 543, 2799, 3940, 2157, 547, 1489, 4028, 2208, 563, 273, 269, 22320, 518, 5123, 910, 1306, 2831, 1332, 267, 789, 5912, 547, 1447, 7199, 267, 811, 17811, 1673, 1619, 11326, 602, 3895, 10709, 4887, 1646, 563, 274, 269, 5685, 8718, 5123, 910, 10312, 539, 593, 21924, 2597, 2744, 1354, 2344, 267, 1710, 8718, 11326, 1419, 6451, 2362, 3170, 9115, 563, 275, 269, 30123, 566, 543, 14915, 566, 11775, 910, 7981, 1242, 11326, 3358, 547, 2743, 519, 2189, 2115, 540, 521, 3298, 1282, 6379, 543, 5144, 2504, 780, 289, 269, 16016, 1042, 1304, 19139, 692, 272, 269, 8779, 9270, 910, 21344, 1942, 543, 2298, 1247, 6236, 12146, 8244, 543, 4005, 1275, 563, 273, 269, 6022, 520, 1464, 910, 23496, 10343, 676, 6220, 9053, 8137, 902, 543, 18282, 563, 274, 269, 715, 26798, 1871, 910, 19805, 5820, 1759, 593, 741, 2702, 547, 1683, 2556, 12550, 268, 543, 25050, 19153, 780, 4353, 269, 30839, 11150, 692, 288, 269, 1520, 8644, 527, 636, 5288, 269, 10163, 24071, 30839, 692, 272, 269, 1520, 5391, 527, 636, 8023, 910, 14190, 532, 1863, 1569, 547, 1426, 2429, 519, 1554, 269, 901, 4640, 949, 1291, 547, 4824, 2208, 3928, 543, 3049, 4398, 855, 1223, 1267, 538, 8377, 952, 711, 7307, 5265, 563, 273, 269, 10163, 24071, 8023, 910, 7799, 1746, 3232, 3049, 6981, 547, 1808, 5666, 269, 2755, 4227, 3653, 543, 5009, 7833, 640, 1851, 1396, 3410, 919, 267, 11658, 8023, 1522, 11874, 1764, 2208, 543, 10285, 2773, 952, 16789, 569, 13401, 780, 289, 269, 18001, 30839, 15789, 692, 272, 269, 19573, 531, 5912, 1063, 8192, 11775, 910, 29955, 7413, 9667, 18063, 2404, 609, 6727, 2242, 538, 32311, 5888, 563, 273, 269, 5153, 5346, 3292, 910, 20074, 31278, 4679, 538, 2732, 5860, 1369, 513, 2582, 5123, 547, 12954, 14031, 543, 5000, 4616, 780, 290, 269, 14825, 730, 30839, 7010, 692, 272, 269, 8950, 1242, 1949, 910, 16424, 1367, 3662, 3049, 6981, 543, 14577, 6765, 9935, 563, 273, 269, 12829, 29650, 910, 22034, 8596, 543, 5841, 4987, 6620, 547, 11126, 8023, 16131, 543, 9424, 1759, 593, 3662, 2085, 267, 2597, 267, 543, 1072, 4567, 780, 291, 269, 7351, 12367, 543, 3194, 692, 272, 269, 30059, 13184, 8105, 910, 14146, 532, 2029, 543, 1239, 2079, 547, 5386, 2389, 2317, 8023, 1036, 6036, 693, 519, 1367, 1377, 563, 273, 269, 20010, 3940, 2959, 910, 10289, 3209, 3940, 2959, 899, 5521, 6980, 267, 13479, 267, 543, 2582, 16052, 7103, 547, 2569, 16126, 593, 2757, 2030, 2861, 5946, 563, 274, 269, 25095, 8438, 5786, 910, 15043, 4244, 8023, 2994, 543, 21187, 547, 2226, 8937, 1072, 543, 5372, 11216, 1031, 585, 2208, 13319, 780, 1103, 3932, 267, 2500, 2220, 710, 6484, 543, 8023, 2359, 2154, 6297, 7156, 540, 8770, 4170, 267, 3049, 19862, 267, 543, 8023, 2994, 269, 1635, 9363, 5483, 593, 6932, 3466, 543, 10647, 5571, 1382, 267, 12696, 666, 3136, 5355, 519, 1072, 543, 7607, 540, 741, 31459, 1247, 5466, 3395, 4145, 3823, 6940, 543, 3743, 4199, 13345, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 27154, 2657, 5240, 1299, 11872, 585, 4989, 476, 2918, 267, 476, 1001, 280, 454, 15648, 9736, 4858, 330, 651, 31173, 454, 29394, 281, 22118, 333, 674, 5064, 667, 30470, 32233, 454, 2562, 5990, 21832, 306, 912, 289, 21531, 651, 31173, 3377, 454, 7775, 542, 10960, 2657, 454, 13563, 10960, 11233, 5948, 454, 13233, 2142, 1030, 13268, 532, 454, 8110, 18504, 5253, 6828, 454, 309, 1115, 3689, 14893, 454, 763, 1655, 1747, 593, 519, 1357, 547, 1265, 11727, 2816, 23078, 2336, 27154, 10890, 297, 10849, 2593, 568, 606, 24215, 5827, 7649, 585, 707, 16461, 1746, 3646, 538, 519, 3662, 1072, 543, 4620, 6990, 563, 27154, 10890, 297, 10849, 2593, 814, 6738, 547, 1331, 936, 476, 1789, 267, 1822, 840, 6709, 531, 1881, 2816, 32339, 267, 543, 9846, 15387, 513, 1164, 4110, 540, 13007, 281, 1079, 22188, 540, 938, 10805, 3755, 723, 513, 25328, 779, 4110, 267, 543, 476, 736, 260, 723, 930, 2186, 540, 4359, 4110, 282, 835, 6709, 6621, 723, 936, 476, 1015, 1296, 540, 2872, 1995, 563, 2691, 596, 616, 5275, 519, 1655, 267, 2097, 547, 10960, 10890, 297, 10849, 2593, 1107, 1101, 563, 23490, 3198, 312, 661, 27073, 5058, 306, 11555, 4041, 3008, 2464, 454, 1892, 7345, 518, 4080, 2164, 585, 519, 1101, 10116, 540, 476, 1001, 280, 269, 10960, 1072, 6455, 941, 661, 7838, 476, 275, 2641, 2929, 18121, 5325, 273, 2929, 1070, 606, 2333, 540, 476, 273, 260, 3379, 547, 519, 13380, 1991, 4458, 7117, 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, 27259, 6925, 1315, 5253, 10960, 1315, 4210, 710, 12594, 543, 30839, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 634, 2136, 2276, 540, 3013, 269, 15638, 31327, 5455, 1677, 1299, 15486, 540, 519, 1977, 21829, 2782, 269, 3703, 12057, 20616, 6554, 269, 1160, 17474, 540, 476, 12293, 274, 269, 634, 17491, 2920, 476, 12293, 275, 454, 300, 1410, 4618, 910, 1977, 2782, 476, 7277, 277, 268, 7277, 279, 269, 7108, 27538, 269, 2475, 25357, 267, 519, 623, 3415, 18124, 267, 5651, 572, 8943, 267, 543, 519, 1855, 25393, 269, 634, 8187, 4639, 269, 634, 13067, 652, 1737, 2920, 476, 5908, 273, 269, 634, 21805, 2920, 476, 5908, 273, 910, 634, 3690, 11666, 1581, 21805, 269, 21582, 2692, 903, 543, 595, 4490, 28234, 2583, 269, 11633, 7169, 269, 634, 29158, 717, 514, 269, 6406, 2782, 1977, 6406, 2782, 267, 2782, 9737, 519, 2276, 267, 2782, 540, 8832, 20548, 1833, 454, 300, 1410, 4618, 910, 1977, 2782, 476, 7277, 277, 268, 7277, 279, 282, 7108, 27538, 282, 5696, 1074, 540, 519, 23566, 543, 519, 6406, 2782, 269, 15638, 31327, 909, 547, 519, 1977, 6406, 2782, 282, 634, 11633, 7169, 282, 1977, 6406, 2782, 910, 476, 5908, 272, 268, 5908, 276, 282, 4658, 540, 519, 6406, 2782, 910, 12493, 267, 16026, 267, 16827, 267, 10557, 267, 19291, 30463, 267, 4498, 28625, 31793, 2006, 267, 667, 1042, 8845, 543, 811, 282, 476, 1724, 628, 14821, 10678, 8474, 11014, 454, 20225, 476, 4962, 267, 476, 1708, 272, 5788, 26913, 729, 13736, 538, 519, 1977, 10125, 538, 519, 476, 1704, 628, 543, 476, 1240, 628, 5553, 267, 543, 5280, 4412, 601, 519, 2136, 2276, 883, 519, 6406, 2782, 269, 6258, 811, 827, 8474, 538, 3013, 563, 300, 1410, 4618, 910, 1977, 2782, 476, 7277, 277, 268, 7277, 279, 269, 7108, 27538, 269, 2475, 25357, 267, 519, 623, 3415, 18124, 267, 5651, 572, 8943, 267, 543, 519, 1855, 25393, 269, 634, 8187, 4639, 269, 7981, 8791, 281, 634, 1977, 6406, 2782, 269, 26913, 538, 3013, 269, 15638, 31327, 909, 547, 519, 1977, 6406, 2782, 269, 11633, 7169, 269, 634, 29158, 717, 514, 269, 1977, 6406, 2782, 910, 476, 5908, 272, 268, 5908, 276, 454, 13563, 6406, 2782, 634, 661, 2006, 322, 11692, 1160, 17474, 269, 661, 2006, 322, 11692, 1160, 17474, 23678, 1324, 676, 654, 269, 21662, 269, 3778, 23645, 6406, 2782, 634, 661, 2006, 322, 11692, 1160, 17474, 729, 606, 1931, 3267, 0, 23325, 2915, 1426, 568, 513, 2922, 543, 14312, 4781, 267, 855, 621, 666, 1869, 1291, 547, 513, 1426, 15464, 563, 2026, 811, 1004, 723, 519, 4781, 547, 2057, 4189, 4544, 2915, 267, 519, 1426, 15464, 1981, 568, 2810, 563, 763, 5253, 543, 10684, 10029, 1767, 538, 513, 3948, 602, 6800, 1058, 2057, 1210, 4544, 2915, 585, 519, 1739, 4128, 281, 1403, 596, 2461, 693, 513, 1164, 1981, 540, 4189, 513, 13572, 1426, 267, 971, 607, 2576, 945, 814, 13881, 13572, 5779, 610, 16738, 610, 2576, 945, 22655, 5779, 13572, 609, 561, 3563, 807, 4551, 267, 2911, 547, 707, 4387, 827, 9319, 602, 1426, 563, 2252, 621, 779, 2907, 1044, 13572, 609, 4551, 267, 2057, 4189, 621, 543, 3343, 7525, 2564, 3007, 563, 23325, 2915, 949, 711, 581, 2922, 585, 1279, 3856, 4616, 563, 288, 1507, 2179, 540, 4544, 2915, 666, 581, 13572, 609, 513, 8833, 540, 561, 3563, 22719, 602, 3123, 519, 2068, 267, 543, 1004, 945, 616, 2907, 7210, 1058, 1491, 3606, 15416, 563, 763, 15111, 1767, 519, 1034, 1455, 1426, 15464, 4220, 609, 4544, 2915, 1331, 12526, 609, 561, 8651, 22719, 4551, 563, 8256, 28366, 1058, 849, 581, 3222, 540, 519, 1426, 3106, 4220, 540, 4544, 5243, 563, 299, 3563, 22719, 568, 513, 3978, 4576, 3361, 676, 519, 4551, 700, 3563, 807, 1395, 26014, 4094, 525, 267, 610, 700, 269, 1395, 7514, 6776, 636, 563, 10144, 609, 561, 619, 22719, 723, 513, 2182, 942, 7558, 532, 1426, 563, 299, 3563, 22719, 666, 2014, 513, 1164, 8611, 543, 4049, 4887, 31191, 563, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 267, 811, 982, 476, 3199, 2600, 540, 519, 772, 2529, 269, 2551, 814, 561, 3563, 658, 5563, 563, 299, 269, 3000, 7514, 6776, 639, 666, 2014, 6797, 543, 8459, 3441, 269, 0, 763, 15341, 7675, 538, 2776, 560, 5962, 6405, 568, 2944, 676, 1802, 1424, 24441, 735, 4809, 17613, 547, 6405, 676, 8082, 532, 519, 5374, 267, 1354, 1641, 532, 621, 547, 3028, 13907, 269, 769, 15341, 5962, 22493, 519, 2566, 2919, 1282, 519, 3028, 3942, 568, 1293, 1229, 676, 519, 2907, 13251, 735, 4809, 17613, 269, 2560, 3367, 2859, 2776, 560, 7675, 2409, 538, 2776, 560, 5962, 22493, 1107, 9537, 543, 12191, 454, 1432, 568, 513, 5748, 286, 19032, 540, 13210, 267, 1744, 9994, 543, 2620, 13210, 267, 18567, 540, 13719, 543, 2620, 13210, 269, 2507, 3367, 2859, 7690, 2010, 268, 13719, 543, 2620, 5748, 454, 1432, 798, 596, 1611, 676, 30577, 9160, 6405, 286, 1215, 547, 2824, 513, 6405, 286, 1548, 616, 519, 5820, 540, 10750, 9160, 6405, 286, 4518, 5650, 585, 11093, 10750, 9160, 6405, 286, 2507, 3367, 2859, 30577, 24533, 22493, 630, 303, 6717, 10534, 1215, 547, 9255, 623, 6717, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 310, 296, 312, 21781, 5723, 311, 296, 312, 21781, 5723, 312, 296, 312, 21781, 5723, 313, 296, 312, 21781, 5723, 271, 296, 312, 21781, 5723, 272, 296, 312, 21781, 5723, 273, 296, 312, 21781, 5723, 274, 296, 312, 21781, 5723, 275, 296, 312, 21781, 5723, 276, 296, 312, 21781, 5723, 277, 296, 312, 21781, 5723, 278, 296, 312, 21781, 5723, 279, 296, 312, 21781, 5723, 280, 296, 312, 21781, 5723, 594, 312, 21781, 3722, 9590, 312, 21781, 3722, 10292, 312, 21781, 3722, 5746, 312, 21781, 3722, 14888, 312, 21781, 19781, 296, 312, 21781, 3722, 293, 296, 312, 21781, 3722, 22835, 312, 21781, 21815, 296, 312, 21781, 3722, 2862, 312, 21781, 3722, 297, 296, 312, 21781, 19272, 296, 312, 21781, 3722, 299, 296, 312, 21781, 3722, 11085, 312, 21781, 3722, 25712, 312, 21781, 3722, 302, 296, 312, 21781, 3722, 18444, 312, 21781, 3722, 304, 296, 312, 21781, 3722, 6020, 312, 21781, 3722, 10485, 312, 21781, 3722, 2316, 312, 21781, 3722, 21397, 312, 21781, 3722, 9654, 312, 21781, 3722, 310, 296, 312, 21781, 3722, 311, 296, 312, 21781, 3722, 312, 296, 312, 21781, 3722, 313, 296, 312, 21781, 3722, 271, 296, 312, 21781, 3722, 272, 296, 312, 21781, 3722, 273, 296, 312, 21781, 3722, 274, 296, 312, 21781, 3722, 275, 296, 312, 21781, 3722, 276, 296, 312, 21781, 3722, 277, 296, 312, 21781, 3722, 278, 296, 312, 21781, 3722, 279, 296, 312, 21781, 3722, 280, 296, 312, 21781, 3722, 594, 312, 21781, 4696, 9590, 312, 21781, 4696, 10292, 312, 21781, 4696, 5746, 312, 21781, 4696, 14888, 312, 21781, 32767, 296, 312, 21781, 4696, 293, 296, 312, 21781, 4696, 22835, 312, 21781, 4696, 26980, 312, 21781, 4696, 2862, 312, 21781, 4696, 297, 296, 312, 21781, 4696, 298, 296, 312, 21781, 4696, 299, 296, 312, 21781, 4696, 11085, 312, 21781, 4696, 25712, 312, 21781, 4696, 302, 296, 312, 21781, 4696, 18444, 312, 21781, 4696, 304, 296, 312, 21781, 4696, 6020, 312, 21781, 4696, 10485, 312, 21781, 4696, 2316, 312, 21781, 4696, 21397, 312, 21781, 4696, 9654, 312, 21781, 4696, 310, 296, 312, 21781, 4696, 311, 296, 312, 21781, 4696, 312, 296, 312, 21781, 4696, 313, 296, 312, 21781, 4696, 271, 296, 312, 21781, 4696, 272, 296, 312, 21781, 4696, 273, 296, 312, 21781, 4696, 274, 296, 312, 21781, 4696, 275, 296, 312, 21781, 4696, 276, 296, 312, 21781, 4696, 277, 296, 312, 21781, 4696, 278, 296, 312, 21781, 4696, 279, 296, 312, 21781, 4696, 280, 296, 312, 21781, 4696, 594, 312, 717, 8150, 292, 9590, 312, 717, 8150, 292, 10292, 312, 717, 8150, 4488, 296, 312, 717, 8150, 3633, 296, 312, 717, 8150, 7417, 296, 312, 717, 8150, 9128, 296, 312, 717, 8150, 9680, 296, 312, 717, 8150, 292, 26980, 312, 717, 8150, 292, 2862, 312, 717, 8150, 292, 297, 296, 312, 717, 8150, 292, 298, 296, 312, 717, 8150, 5085, 296, 312, 717, 8150, 4932, 296, 312, 717, 8150, 2894, 296, 312, 717, 8150, 292, 302, 296, 312, 717, 8150, 7968, 296, 312, 717, 8150, 292, 304, 296, 312, 717, 8150, 2207, 296, 312, 717, 8150, 2464, 296, 312, 717, 8150, 292, 2316, 312, 717, 8150, 292, 21397, 312, 717, 8150, 292, 9654, 312, 717, 8150, 11246, 296, 312, 717, 8150, 13052, 296, 312, 717, 8150, 292, 312, 296, 312, 717, 8150, 292, 313, 296, 312, 717, 8150, 292, 271, 296, 312, 717, 8150, 292, 272, 296, 312, 717, 8150, 292, 273, 296, 312, 717, 8150, 292, 274, 296, 312, 717, 8150, 292, 275, 296, 312, 717, 8150, 292, 276, 296, 312, 717, 8150, 292, 277, 296, 312, 717, 8150, 292, 278, 296, 312, 717, 8150, 292, 279, 296, 312, 717, 8150, 292, 280, 296, 312, 717, 8150, 292, 594, 312, 717, 8150, 293, 9590, 312, 717, 8150, 293, 10292, 312, 717, 8150, 293, 5746, 312, 717, 8150, 293, 14888, 312, 717, 8150, 25539, 296, 312, 717, 8150, 13697, 296, 312, 717, 8150, 293, 22835, 312, 717, 8150, 293, 26980, 312, 717, 8150, 293, 2862, 312, 717, 8150, 293, 297, 296, 312, 717, 8150, 293, 298, 296, 312, 717, 8150, 14566, 296, 312, 717, 8150, 293, 11085, 312, 717, 8150, 293, 25712, 312, 717, 8150, 23859, 296, 312, 717, 8150, 17025, 296, 312, 717, 8150, 293, 304, 296, 312, 717, 8150, 293, 6020, 312, 717, 8150, 293, 10485, 312, 717, 8150, 293, 2316, 312, 717, 8150, 293, 21397, 312, 717, 8150, 293, 9654, 312, 717, 8150, 293, 310, 296, 312, 717, 8150, 293, 311, 296, 312, 717, 8150, 293, 312, 296, 312, 717, 8150, 293, 313, 296, 312, 717, 8150, 293, 271, 296, 312, 717, 8150, 293, 272, 296, 312, 717, 8150, 293, 273, 296, 312, 717, 8150, 293, 274, 296, 312, 717, 8150, 293, 275, 296, 312, 717, 8150, 293, 276, 296, 312, 717, 8150, 293, 277, 296, 312, 717, 8150, 293, 278, 296, 312, 717, 8150, 293, 279, 296, 312, 717, 8150, 293, 280, 296, 312, 717, 8150, 293, 594, 312, 717, 8150, 294, 9590, 312, 717, 8150, 294, 10292, 312, 717, 8150, 294, 5746, 312, 717, 8150, 294, 14888, 312, 717, 8150, 12283, 296, 312, 717, 8150, 24427, 296, 312, 717, 8150, 294, 22835, 312, 717, 8150, 21203, 296, 312, 717, 8150, 294, 2862, 312, 717, 8150, 294, 297, 296, 312, 717, 8150, 294, 298, 296, 312, 717, 8150, 21923, 296, 312, 717, 8150, 294, 11085, 312, 717, 8150, 294, 25712, 312, 717, 8150, 32271, 296, 312, 717, 8150, 294, 18444, 312, 717, 8150, 294, 304, 296, 312, 717, 8150, 294, 6020, 312, 717, 8150, 294, 10485, 312, 717, 8150, 294, 2316, 312, 717, 8150, 294, 21397, 312, 717, 8150, 294, 9654, 312, 717, 8150, 294, 310, 296, 312, 717, 8150, 294, 311, 296, 312, 717, 8150, 294, 312, 296, 312, 717, 8150, 294, 313, 296, 312, 717, 8150, 294, 271, 296, 312, 717, 8150, 294, 272, 296, 312, 717, 8150, 294, 273, 296, 312, 717, 8150, 294, 274, 296, 312, 717, 8150, 294, 275, 296, 312, 717, 8150, 294, 276, 296, 312, 717, 8150, 294, 277, 296, 312, 717, 8150, 294, 278, 296, 312, 717, 8150, 294, 279, 296, 312, 717, 8150, 294, 280, 296, 312, 717, 8150, 294, 594, 312, 717, 8150, 295, 9590, 312, 717, 8150, 295, 10292, 312, 717, 8150, 295, 5746, 312, 717, 8150, 8461, 296, 312, 717, 8150, 4047, 296, 312, 717, 8150, 295, 293, 296, 312, 717, 8150, 295, 22835, 312, 717, 8150, 295, 26980, 312, 717, 8150, 295, 2862, 312, 717, 8150, 295, 297, 296, 312, 717, 8150, 295, 298, 296, 312, 717, 8150, 30045, 296, 312, 717, 8150, 295, 11085, 312, 717, 8150, 295, 25712, 312, 717, 8150, 9816, 296, 312, 717, 8150, 295, 18444, 312, 717, 8150, 295, 304, 296, 312, 717, 8150, 295, 6020, 312, 717, 8150, 9391, 296, 312, 717, 8150, 295, 2316, 312, 717, 8150, 295, 21397, 312, 717, 8150, 295, 9654, 312, 717, 8150, 295, 310, 296, 312, 717, 8150, 295, 311, 296, 312, 717, 8150, 14176, 296, 312, 717, 8150, 295, 313, 296, 312, 717, 8150, 295, 271, 296, 312, 717, 8150, 295, 272, 296, 312, 717, 8150, 295, 273, 296, 312, 717, 8150, 295, 274, 296, 312, 717, 8150, 295, 275, 296, 312, 717, 8150, 295, 276, 296, 312, 717, 8150, 295, 277, 296, 312, 717, 8150, 295, 278, 296, 312, 717, 8150, 295, 279, 296, 312, 717, 8150, 295, 280, 296, 312, 717, 8150, 295, 594, 312, 717, 8150, 8656, 296, 312, 717, 8150, 296, 10292, 312, 717, 8150, 2975, 296, 312, 717, 8150, 2839, 296, 312, 717, 8150, 23966, 296, 312, 717, 8150, 9281, 296, 312, 717, 8150, 5456, 296, 312, 717, 8150, 296, 26980, 312, 717, 8150, 7656, 312, 717, 8150, 296, 297, 296, 312, 717, 8150, 31082, 296, 312, 717, 8150, 6579, 296, 312, 717, 8150, 8379, 296, 312, 717, 8150, 2562, 296, 312, 717, 8150, 22473, 296, 312, 717, 8150, 7709, 296, 312, 717, 8150, 296, 304, 296, 312, 717, 8150, 296, 6020, 312, 717, 8150, 3041, 296, 312, 717, 8150, 296, 2316, 312, 717, 8150, 296, 21397, 312, 717, 8150, 4353, 296, 312, 717, 8150, 296, 310, 296, 312, 717, 8150, 21197, 296, 312, 717, 8150, 296, 312, 296, 312, 717, 8150, 22003, 296, 312, 717, 8150, 296, 271, 296, 312, 717, 8150, 296, 272, 296, 312, 717, 8150, 296, 273, 296, 312, 717, 8150, 296, 274, 296, 312, 717, 8150, 296, 275, 296, 312, 717, 8150, 296, 276, 296, 312, 717, 8150, 296, 277, 296, 312, 717, 8150, 296, 278, 296, 312, 717, 8150, 296, 279, 296, 312, 717, 8150, 296, 280, 296, 312, 717, 8150, 296, 594, 312, 717, 8150, 297, 9590, 312, 717, 8150, 297, 10292, 312, 717, 8150, 297, 5746, 312, 717, 8150, 297, 14888, 312, 717, 8150, 297, 292, 296, 312, 717, 8150, 297, 293, 296, 312, 717, 8150, 297, 22835, 312, 717, 8150, 297, 26980, 312, 717, 8150, 297, 2862, 312, 717, 8150, 297, 297, 296, 312, 717, 8150, 297, 298, 296, 312, 717, 8150, 297, 299, 296, 312, 717, 8150, 297, 11085, 312, 717, 8150, 297, 25712, 312, 717, 8150, 297, 302, 296, 312, 717, 8150, 297, 18444, 312, 717, 8150, 297, 304, 296, 312, 717, 8150, 297, 6020, 312, 717, 8150, 297, 10485, 312, 717, 8150, 297, 2316, 312, 717, 8150, 297, 21397, 312, 717, 8150, 297, 9654, 312, 717, 8150, 297, 310, 296, 312, 717, 8150, 297, 311, 296, 312, 717, 8150, 297, 312, 296, 312, 717, 8150, 297, 313, 296, 312, 717, 8150, 297, 271, 296, 312, 717, 8150, 297, 272, 296, 312, 717, 8150, 297, 273, 296, 312, 717, 8150, 297, 274, 296, 312, 717, 8150, 297, 275, 296, 312, 717, 8150, 297, 276, 296, 312, 717, 8150, 297, 277, 296, 312, 717, 8150, 297, 278, 296, 312, 717, 8150, 297, 279, 296, 312, 717, 8150, 297, 280, 296, 312, 717, 8150, 297, 594, 312, 717, 8150, 298, 9590, 312, 717, 8150, 298, 10292, 312, 717, 8150, 298, 5746, 312, 717, 8150, 298, 14888, 312, 717, 8150, 17395, 296, 312, 717, 8150, 298, 293, 296, 312, 717, 8150, 298, 22835, 312, 717, 8150, 298, 26980, 312, 717, 8150, 298, 2862, 312, 717, 8150, 298, 297, 296, 312, 717, 8150, 298, 298, 296, 312, 717, 8150, 298, 299, 296, 312, 717, 8150, 298, 11085, 312, 717, 8150, 298, 25712, 312, 717, 8150, 298, 302, 296, 312, 717, 8150, 298, 18444, 312, 717, 8150, 298, 304, 296, 312, 717, 8150, 298, 6020, 312, 717, 8150, 298, 10485, 312, 717, 8150, 298, 2316, 312, 717, 8150, 298, 21397, 312, 717, 8150, 298, 9654, 312, 717, 8150, 298, 310, 296, 312, 717, 8150, 298, 311, 296, 312, 717, 8150, 298, 312, 296, 312, 717, 8150, 298, 313, 296, 312, 717, 8150, 298, 271, 296, 312, 717, 8150, 298, 272, 296, 312, 717, 8150, 298, 273, 296, 312, 717, 8150, 298, 274, 296, 312, 717, 8150, 298, 275, 296, 312, 717, 8150, 298, 276, 296, 312, 717, 8150, 298, 277, 296, 312, 717, 8150, 298, 278, 296, 312, 717, 8150, 298, 279, 296, 312, 717, 8150, 298, 280, 296, 312, 717, 8150, 298, 594, 312, 21781, 3201, 9590, 312, 21781, 3201, 10292, 312, 21781, 3201, 5746, 312, 21781, 3201, 14888, 312, 21781, 3201, 292, 296, 312, 21781, 3201, 293, 296, 312, 21781, 3201, 22835, 312, 21781, 3201, 26980, 312, 21781, 3201, 2862, 312, 21781, 3201, 297, 296, 312, 21781, 3201, 298, 296, 312, 21781, 17920, 296, 312, 21781, 3201, 11085, 312, 21781, 3201, 25712, 312, 21781, 3201, 302, 296, 312, 21781, 3201, 18444, 312, 21781, 3201, 304, 296, 312, 21781, 3201, 6020, 312, 21781, 3201, 10485, 312, 21781, 3201, 2316, 312, 21781, 3201, 21397, 312, 21781, 3201, 9654, 312, 21781, 3201, 310, 296, 312, 21781, 3201, 311, 296, 312, 21781, 3201, 312, 296, 312, 21781, 3201, 313, 296, 312, 21781, 3201, 271, 296, 312, 21781, 3201, 272, 296, 312, 21781, 3201, 273, 296, 312, 21781, 3201, 274, 296, 312, 21781, 3201, 275, 296, 312, 21781, 3201, 276, 296, 312, 21781, 3201, 277, 296, 312, 21781, 3201, 278, 296, 312, 21781, 3201, 279, 296, 312, 21781, 3201, 280, 296, 312, 21781, 3201, 594, 312, 21781, 4456, 9590, 312, 21781, 4456, 10292, 312, 21781, 4456, 5746, 312, 21781, 4456, 14888, 312, 21781, 28719, 296, 312, 21781, 4456, 293, 296, 312, 21781, 4456, 22835, 312, 21781, 4456, 26980, 312, 21781, 4456, 2862, 312, 21781, 4456, 297, 296, 312, 21781, 4456, 298, 296, 312, 21781, 4456, 299, 296, 312, 21781, 4456, 11085, 312, 21781 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 763, 1101, 1900, 538, 11443, 909, 707, 623, 9448, 568, 1287, 7114, 782, 6786, 1373, 10480, 883, 621, 689, 8596, 610, 824, 15672, 3457, 1107, 891, 616, 1572, 2048, 6358, 338, 685, 1107, 607, 1134, 607, 782, 17016, 602, 519, 623, 9448, 1058, 3049, 1394, 856, 1107, 891, 616, 1572, 2048, 16059, 338, 9957, 634, 3403, 6786, 2995, 519, 1062, 827, 922, 1604, 1107, 971, 607, 2837, 13220, 610, 950, 3615, 2408, 1354, 621, 593, 513, 23740, 12966, 1107, 1247, 3977, 6786, 1852, 6191, 610, 3157, 538, 3210, 1107, 6467, 16546, 610, 5305, 2472, 693, 24441, 2798, 593, 23740, 26797, 865, 789, 1810, 1406, 25888, 909, 610, 3180, 909, 2504, 3515, 3092, 2507, 18833, 799, 11378, 723, 799, 3601, 630, 514, 2474, 540, 1239, 2010, 899, 6453, 2157, 3092, 2507, 264, 543, 1018, 2010, 540, 17016, 789, 991, 547, 9594, 2636, 721, 2697, 4143, 3334, 899, 882, 904, 602, 32144, 938, 1062, 2059, 609, 922, 3301, 610, 2196, 7714, 630, 320, 4999, 540, 5528, 264, 1107, 899, 1346, 1336, 1369, 1034, 2413, 21117, 3292, 454, 3721, 676, 5153, 6651, 547, 8490, 513, 3026, 321, 700, 9554, 476, 272, 30641, 454, 288, 21117, 568, 513, 1390, 1259, 547, 1039, 513, 2189, 543, 3078, 3693, 547, 1022, 18147, 269, 898, 666, 581, 1031, 585, 5026, 267, 12202, 267, 610, 1175, 4730, 1472, 609, 2828, 269, 1809, 952, 596, 2461, 3168, 585, 1945, 811, 1950, 543, 4277, 267, 1946, 711, 2015, 2679, 707, 1378, 3026, 321, 700, 9554, 888, 10468, 321, 700, 5417, 619, 616, 606, 5863, 4999, 540, 6323, 543, 4702, 602, 5932, 513, 2497, 602, 682, 10903, 919, 1055, 519, 2666, 1247, 1869, 3850, 596, 547, 18214, 621, 269, 8490, 835, 540, 891, 11141, 561, 5417, 619, 666, 581, 3833, 7294, 267, 855, 1810, 1406, 5855, 1107, 649, 4076, 3893, 596, 4988, 256, 3371, 779, 938, 1900, 8386, 9912, 3391, 593, 875, 547, 1628, 513, 3026, 321, 700, 9554, 912, 272, 269, 21733, 790, 10049, 281, 634, 1101, 1900, 538, 2679, 513, 3026, 321, 700, 9554, 568, 13844, 519, 2556, 2326, 269, 2353, 596, 991, 568, 930, 2596, 29421, 267, 25336, 543, 31211, 267, 2059, 609, 930, 18052, 543, 5911, 585, 3063, 6617, 543, 4222, 269, 5269, 2386, 602, 519, 4773, 540, 3574, 616, 2178, 2614, 547, 1489, 707, 2597, 607, 1134, 607, 4896, 3116, 945, 786, 581, 1210, 519, 21117, 563, 273, 269, 12338, 1299, 1306, 14517, 8381, 281, 4495, 596, 4076, 6394, 782, 519, 1570, 2877, 585, 707, 21117, 267, 621, 779, 942, 547, 1205, 5969, 256, 12763, 856, 1142, 4062, 1354, 4718, 532, 873, 1524, 538, 1931, 547, 2327, 3388, 568, 14354, 950, 3710, 1927, 2663, 593, 269, 4495, 782, 540, 707, 29421, 814, 1044, 2759, 2687, 547, 1544, 267, 27043, 3388, 1927, 2687, 547, 5528, 1107, 1818, 2386, 782, 10549, 616, 16119, 4448, 543, 3458, 14954, 610, 10240, 1540, 1524, 18172, 2336, 274, 269, 18514, 674, 8636, 902, 281, 3767, 2501, 519, 16602, 851, 282, 17516, 5911, 3514, 14005, 1063, 1142, 1377, 540, 519, 21117, 865, 789, 2611, 17735, 538, 4571, 1515, 630, 1156, 576, 2048, 928, 321, 685, 32656, 3399, 1055, 676, 8220, 4773, 540, 4496, 5911, 693, 1079, 2798, 282, 835, 2630, 543, 1776, 1657, 1141, 1142, 3296, 12969, 338, 609, 1776, 593, 2901, 2427, 540, 519, 21117, 779, 2627, 269, 24344, 569, 8936, 713, 4062, 1063, 1312, 2798, 1354, 2921, 3268, 2185, 543, 2947, 883, 7156, 2336, 275, 1299, 476, 276, 12433, 1299, 19024, 645, 2056, 14339, 338, 1341, 853, 4958, 577, 681, 2100, 3245, 12989, 281, 634, 19755, 454, 21761, 18542, 5999, 827, 8490, 513, 3026, 321, 700, 9554, 476, 272, 30641, 454, 19465, 513, 21117, 568, 513, 1390, 1259, 547, 11694, 519, 8897, 540, 10333, 543, 3106, 950, 16246, 547, 3914, 1164, 15627, 269, 6787, 621, 779, 585, 5010, 946, 610, 1175, 513, 1187, 18789, 1788, 267, 1620, 519, 9238, 540, 875, 561, 5417, 619, 960, 666, 948, 1217, 707, 4070, 269, 1677, 602, 1439, 267, 1934, 616, 930, 4749, 4280, 2055, 827, 2679, 513, 2048, 10468, 321, 700, 9554, 685, 912, 304, 281, 1548, 2326, 616, 1031, 950, 14335, 513, 3026, 321, 700, 9554, 888, 288, 281, 13575, 267, 2182, 6229, 568, 9053, 585, 14335, 561, 5417, 619, 1813, 547, 922, 4390, 547, 3180, 2597, 543, 16641, 2604, 1996, 519, 2196, 7714, 269, 1879, 2556, 267, 2362, 3446, 2848, 1564, 971, 607, 11956, 610, 16243, 5374, 666, 849, 581, 6964, 585, 741, 4187, 547, 14809, 543, 3063, 15006, 563, 304, 281, 1215, 1082, 2196, 7714, 1058, 594, 1331, 950, 1818, 1250, 3026, 321, 700, 9554, 888, 288, 281, 2368, 4782, 811, 2196, 7714, 547, 2327, 5021, 6617, 543, 3106, 950, 26799, 610, 27312, 519, 21117, 267, 855, 3335, 1297, 532, 1063, 2947, 543, 5722, 2196, 7714, 2066, 835, 2427, 568, 2808, 3044, 2259, 269, 898, 779, 1434, 2259, 547, 2268, 23276, 1063, 1142, 2196, 326, 1107, 19437, 873, 14961, 693, 10199, 476, 1626, 6279, 538, 3259, 6306, 1107, 865, 602, 789, 2611, 6899, 543, 5360, 5050, 609, 3106, 6042, 563, 304, 281, 1548, 568, 519, 1655, 1259, 547, 8936, 519, 2196, 7714, 18172, 888, 288, 281, 634, 1034, 1455, 2853, 4125, 1210, 8142, 539, 25336, 610, 1804, 729, 1667, 17956, 2901, 676, 18969, 610, 4853, 17263, 3574, 15441, 1107, 3850, 1142, 4745, 519, 4222, 2877, 1247, 7303, 1022, 1793, 6235, 610, 23510, 856, 540, 2990, 1282, 6165, 269, 2142, 2386, 547, 4734, 3617, 10616, 2059, 1142, 3296, 540, 519, 7406, 1141, 891, 4296, 2049, 865, 602, 596, 666, 2417, 24644, 873, 609, 3728, 22211, 952, 5551, 282, 607, 1134, 607, 1202, 675, 23704, 10549, 676, 5969, 1055, 10943, 26262, 4882, 1177, 706, 560, 689, 1991, 10198, 3268, 563, 304, 281, 1548, 1058, 594, 4585, 856, 585, 950, 8888, 1250, 3026, 321, 700, 9554, 888, 288, 281, 6301, 569, 581, 2386, 602, 1312, 5011, 540, 707, 21117, 2611, 1256, 538, 3259, 630, 7224, 3368, 20878, 27753, 1070, 909, 18988, 676, 7123, 5867, 282, 543, 1331, 606, 936, 28702, 909, 1283, 454, 12749, 476, 276, 12700, 827, 21252, 717, 1622, 689, 8490, 513, 3026, 321, 700, 9554, 476, 272, 30641, 454, 10468, 321, 561, 5417, 619, 616, 606, 3608, 1259, 547, 2333, 519, 1379, 543, 3432, 540, 513, 2780, 1062, 269, 8490, 513, 3026, 321, 21117, 609, 476, 272, 30641, 540, 20433, 666, 1683, 1713, 4398, 12374, 538, 1082, 2127, 269, 3371, 616, 2947, 5013, 827, 875, 3026, 321, 561, 5417, 619, 666, 948, 3986, 707, 7384, 2773, 912, 272, 269, 16797, 518, 20509, 8648, 1107, 589, 3026, 321, 21117, 14764, 666, 6175, 519, 942, 621, 3217, 547, 4452, 543, 14892, 3292, 267, 3850, 585, 5488, 11250, 982, 2757, 1305, 5725, 269, 1635, 3246, 20979, 1239, 11444, 267, 519, 4393, 942, 585, 1950, 4247, 568, 27571, 3648, 563, 273, 269, 20865, 23155, 14409, 1107, 26589, 609, 4227, 1367, 4305, 2053, 676, 17306, 1239, 11444, 267, 513, 3026, 321, 21117, 14764, 849, 4679, 6252, 4393, 7207, 676, 3850, 811, 3157, 547, 581, 4881, 8195, 267, 4611, 538, 1732, 2949, 2773, 563, 274, 269, 16842, 595, 5995, 6611, 1107, 9603, 547, 741, 2799, 1239, 998, 1584, 7207, 267, 3026, 321, 561, 5417, 619, 946, 909, 1447, 21461, 2230, 950, 3379, 547, 824, 1949, 543, 3976, 1450, 811, 4055, 585, 824, 3157, 610, 3156, 1373, 2196, 8195, 269, 901, 1226, 919, 547, 1256, 5488, 3210, 2053, 607, 789, 1810, 1406, 991, 547, 1569, 2182, 11479, 610, 5007, 4859, 3457, 607, 1419, 607, 1354, 1813, 547, 811, 21461, 2139, 1318, 1369, 519, 1062, 3294, 2336, 275, 269, 14451, 3414, 1584, 7167, 1464, 1107, 288, 1883, 2460, 540, 4398, 12374, 689, 2679, 513, 476, 272, 30641, 3026, 321, 21117, 568, 741, 4824, 998, 1584, 12588, 936, 2757, 1949, 267, 2495, 602, 2789, 4238, 666, 581, 5645, 856, 1510, 1022, 3500, 6658, 1813, 2799, 6808, 593, 3908, 2200, 610, 22573, 8800, 3334, 10010, 609, 13907, 602, 9765, 741, 1179, 338, 563, 276, 1547, 10815, 5295, 18859, 618, 1107, 7053, 267, 30015, 707, 1062, 609, 513, 476, 272, 30641, 3026, 321, 21117, 2337, 18359, 1379, 607, 621, 3091, 606, 5044, 540, 3608, 11938, 2553, 799, 7413, 729, 5653, 950, 4881, 3156, 24579, 31810, 593, 707, 1062, 267, 3056, 547, 711, 1152, 8101, 9806, 593, 707, 5201, 3915, 855, 849, 7863, 519, 1604, 689, 13818, 5434, 2404, 609, 7050, 1648, 4616, 2336, 3682, 338, 543, 3117, 540, 8490, 513, 3026, 321, 700, 9554, 476, 272, 30641, 454, 19465, 513, 683, 321, 21117, 568, 606, 5051, 2442, 4480, 1031, 676, 5260, 11803, 11639, 547, 2087, 741, 4213, 543, 12492, 5551, 3853, 269, 3371, 616, 930, 540, 519, 5294, 543, 931, 540, 2679, 513, 683, 321, 21117, 912, 272, 269, 898, 568, 513, 5266, 20522, 4781, 585, 1870, 2208, 267, 855, 666, 6556, 5140, 2164, 952, 2944, 7157, 563, 273, 269, 589, 683, 321, 21117, 666, 1683, 596, 609, 3067, 16666, 1239, 827, 6075, 7180, 267, 7836, 3270, 543, 2127, 585, 6454, 538, 707, 1870, 4238, 563, 274, 269, 1306, 596, 1628, 267, 1142, 1900, 538, 707, 21117, 2488, 811, 9355, 543, 1445, 950, 621, 2501, 547, 4259, 1808, 19325, 998, 5051, 3989, 2110, 3856, 3853, 563, 275, 269, 2060, 1697, 6388, 540, 513, 683, 321, 21117, 267, 621, 666, 948, 27513, 5647, 607, 1134, 607, 6667, 1369, 707, 3919, 1813, 547, 519, 991, 547, 7683, 1413, 585, 1007, 3435, 693, 1142, 1377, 540, 519, 2196, 326, 11144, 1247, 12423, 1007, 5561, 2059, 519, 1259, 945, 949, 1831, 10121, 11655, 538, 1813, 1576, 540, 942, 563, 272, 269, 17553, 909, 513, 683, 321, 21117, 3217, 2182, 960, 543, 11428, 602, 2115, 547, 581, 9738, 16111, 610, 3116, 1256, 3811, 7341, 1223, 1294, 5821, 1524, 519, 1899, 563, 273, 269, 1403, 711, 5265, 9709, 610, 8045, 267, 972, 568, 2141, 519, 7872, 602, 1978, 3853, 949, 2760, 581, 1558, 1317, 972, 3274, 3884, 1406, 2614, 2200, 610, 812, 12741, 8655, 547, 873, 14013, 538, 1931, 585, 1967, 547, 2049, 9846, 2066, 782, 2157, 540, 14365, 712, 593, 707, 683, 321, 561, 5417, 1359, 1788, 1544, 3460, 4586, 274, 269, 8490, 513, 683, 321, 21117, 849, 3340, 1713, 1382, 883, 6075, 7375, 799, 666, 1291, 909, 811, 9276, 982, 7620, 2219, 950, 4058, 998, 922, 6388, 3942, 2523, 950, 28809, 538, 2923, 11044, 2877, 1282, 713, 1974, 540, 3408, 4586, 6962, 547, 8490, 513, 3026, 321, 700, 9554, 476, 272, 30641, 585, 26228, 21252, 454, 1103, 3932, 267, 649, 723, 6743, 693, 513, 1297, 540, 3268, 538, 1931, 547, 1628, 513, 3026, 321, 700, 9554, 476, 272, 30641, 585, 5021, 4398, 269, 1284, 723, 2938, 519, 2956, 540, 1697, 12319, 543, 4058, 1354, 25054, 593, 713, 4305, 269, 1284, 723, 6743, 693, 519, 5383, 540, 1210, 3026, 4472, 924, 936, 14069, 610, 824, 2757, 2409, 269, 1284, 5941, 2994, 585, 10893, 26125, 543, 5355, 3593, 1995, 998, 524, 2286, 2553, 269, 7831, 855, 711, 2547, 267, 1114, 2010, 540, 5470, 7829, 2553, 941, 8268, 538, 1931, 547, 2327, 602, 1022, 1761, 2152, 616, 9575, 2038, 593, 269, 11086, 267, 952, 4553, 7157, 267, 891, 3268, 666, 1118, 782, 519, 3017, 950, 621, 2501, 547, 21924, 519, 4398, 540, 707, 3026, 321, 700, 9554, 476, 272, 30641, 1788, 563, 4263, 922, 4295, 267, 713, 1184, 3340, 8380, 2219, 883, 875, 707, 3498, 1058, 2170, 609, 2789, 1239, 2959, 543, 875, 1346, 4205, 786, 1860, 2773, 1765, 31347, 596, 2461, 1210, 513, 22228, 6538, 610, 606, 7357, 1007, 1239, 4558, 899, 3026, 4472, 924, 269, 9282, 2679, 513, 1134, 8647, 3026, 321, 700, 9554, 666, 1491, 942, 543, 11428, 267, 519, 1267, 568, 606, 3608, 1062, 602, 6707, 10742, 519, 2115, 540, 707, 1870, 4170, 1247, 5329, 3755, 7722, 543, 741, 2115, 1558, 269, 0, 19968, 9698, 4564, 519, 1871, 602, 3788, 585, 519, 5411, 2899, 782, 22440, 543, 13800, 723, 1044, 12306, 269, 898, 666, 581, 513, 1883, 13525, 540, 519, 2883, 1072, 543, 6617, 540, 519, 1870, 269, 1280, 1383, 267, 513, 561, 2658, 949, 2015, 707, 1870, 779, 9698, 2990, 1354, 3246, 513, 10211, 269, 19452, 267, 606, 20090, 949, 4983, 707, 1870, 9698, 1354, 10115, 538, 707, 2754, 563, 15612, 908, 1870, 9698, 666, 849, 948, 596, 1118, 5483, 3664, 827, 1141, 547, 6108, 707, 7616, 563, 5649, 713, 3391, 547, 1451, 811, 827, 912, 268, 29626, 1870, 9698, 563, 268, 9537, 540, 1870, 9698, 563, 268, 9669, 547, 2087, 1870, 9698, 563, 268, 19737, 7221, 543, 20824, 563, 268, 16792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3733, 18879, 568, 1419, 1996, 2825, 2516, 14957, 1996, 519, 1082, 1007, 1648, 3620, 2426, 787, 1239, 7740, 6531, 3549, 616, 2679, 563, 763, 6940, 540, 1857, 6531, 7384, 568, 2653, 547, 1174, 269, 15439, 2322, 267, 519, 6531, 1281, 811, 4393, 543, 4859, 609, 519, 1482, 1297, 540, 2168, 13763, 543, 1239, 7740, 269, 1215, 286, 634, 3818, 268, 1084, 656, 1935, 547, 6531, 7384, 4025, 811, 3156, 267, 1239, 5036, 267, 543, 3755, 593, 513, 4130, 2179, 540, 8800, 267, 609, 4390, 13345, 3928, 8151, 689, 5111, 476, 5952, 260, 547, 476, 4817, 10065, 14424, 713, 547, 2757, 4485, 1141, 649, 1378, 519, 13763, 543, 1239, 7740, 267, 543, 519, 8800, 2200, 616, 1419, 1031, 693, 1360, 1970, 4390, 267, 1419, 476, 274, 260, 547, 476, 278, 18336, 30208, 3340, 1447, 1379, 585, 519, 1482, 2179, 540, 4393, 269, 6496, 713, 6531, 7384, 2141, 1118, 3039, 267, 610, 1058, 649, 2161, 2048, 13582, 518, 685, 888, 763, 2262, 968, 531, 1811, 892, 10355, 7140, 856, 547, 581, 2953, 269, 634, 1482, 4422, 585, 519, 6531, 281, 519, 2042, 616, 10355, 3109, 543, 3043, 269, 1677, 4983, 519, 6940, 540, 519, 6531, 267, 1577, 779, 2736, 621, 1524, 883, 519, 1079, 1292, 6106, 563, 13126, 540, 1379, 454, 10144, 1419, 2909, 326, 827, 875, 741, 3167, 1286, 814, 513, 3327, 11640, 269, 898, 779, 711, 602, 2241, 269, 4107, 1379, 267, 693, 2547, 538, 519, 2475, 267, 568, 6383, 676, 8781, 8093, 10173, 269, 769, 476, 1708, 272, 621, 729, 476, 2568, 260, 8093, 4492, 543, 519, 1964, 8237, 1063, 6046, 543, 7791, 1648, 269, 3143, 2339, 1141, 596, 5279, 707, 23592, 610, 1379, 707, 6531, 610, 1875, 12641, 3716, 1239, 4099, 267, 1379, 4616, 814, 513, 2910, 273, 1764, 563, 763, 4661, 585, 519, 6940, 540, 6531, 7384, 568, 602, 621, 6971, 519, 2838, 8800, 543, 1239, 4099, 2230, 269, 1717, 267, 4393, 1312, 6531, 543, 1875, 12641, 3716, 3156, 3340, 5201, 21870, 13324, 676, 8093, 10173, 563, 763, 3255, 547, 2569, 6531, 5829, 3327, 5434, 4096, 711, 1152, 593, 519, 946, 540, 2671, 762, 8668, 2200, 538, 1857, 12269, 267, 855, 849, 593, 519, 6753, 540, 519, 1857, 6531, 1239, 7740, 269, 634, 7678, 568, 547, 723, 2798, 540, 4527, 607, 2673, 607, 2009, 547, 519, 3755, 540, 519, 6531, 2533, 269, 3509, 540, 1346, 2798, 4096, 593, 3327, 13463, 8283, 1648, 2959, 269, 769, 1346, 2665, 267, 6531, 7384, 568, 711, 865, 3039, 563, 2791, 1223, 8044, 602, 621, 568, 1732, 547, 946, 513, 2754, 24804, 1239, 4099, 609, 513, 1454, 2539, 946, 540, 7746, 2200, 538, 606, 1858, 6039, 676, 7791, 543, 5924, 6046, 1379, 269, 769, 602, 2013, 267, 1904, 532, 585, 513, 1448, 540, 4527, 540, 513, 6531, 7384, 8502, 602, 1152, 3096, 3327, 13463, 8283, 10451, 1379, 3884, 1406, 865, 3039, 563, 18893, 30093, 13192, 10298, 543, 8249, 454, 2005, 3085, 1406, 2339, 2436, 707, 1379, 3096, 8093, 10173, 610, 711, 267, 513, 2603, 666, 581, 1767, 827, 875, 596, 11126, 519, 6531, 2200, 596, 946, 269, 1280, 1383, 267, 952, 596, 2285, 1079, 9367, 519, 1482, 1870, 1966, 547, 4194, 1210, 1857, 6531, 2200, 267, 596, 786, 2356, 1265, 602, 835, 540, 873, 1281, 513, 1454, 1732, 2816, 540, 16107, 519, 5934, 1297, 540, 2200, 585, 519, 5021, 1198, 538, 2474, 540, 1871, 8120, 547, 7577, 563, 1607, 666, 723, 1360, 1114, 6286, 585, 519, 2200, 1031, 547, 4194, 9247, 519, 1482, 1966, 269, 1280, 1383, 267, 519, 4628, 20979, 4528, 3096, 1152, 1614, 12337, 2200, 543, 1079, 4859, 2200, 269, 634, 2034, 3096, 1614, 2053, 811, 547, 4194, 519, 1482, 2042, 269, 1924, 519, 2034, 3070, 849, 17236, 827, 1614, 2053, 519, 1379, 563, 8855, 267, 972, 616, 12375, 543, 3327, 1764, 20507, 952, 596, 1810, 1406, 1747, 18481, 20979, 3435, 593, 513, 1857, 6531, 269, 634, 811, 11991, 2200, 267, 519, 811, 11991, 6531, 3790, 269, 13689, 593, 875, 707, 1857, 6531, 8502, 7060, 922, 1239, 4099, 267, 713, 666, 849, 723, 513, 1713, 1764, 593, 3327, 5434, 563, 2791, 666, 20894, 3054, 610, 946, 513, 3791, 18407, 3919, 547, 8495, 875, 707, 946, 540, 1857, 12269, 568, 4543, 610, 31362, 519, 4541, 269, 1452, 32116, 2491, 519, 10700, 2707, 543, 4087, 540, 519, 2095, 543, 875, 596, 4481, 946, 519, 6531, 2200, 563, 763, 4681, 1419, 9983, 3549, 269, 2368, 3494, 741, 946, 540, 6531, 7384, 568, 693, 519, 533, 4883, 12386, 540, 6940, 269, 4256, 6531, 3435, 1223, 581, 1360, 28537, 952, 789, 1175, 24850, 543, 6410, 3156, 543, 4769, 1406, 1201, 18503, 873, 585, 6531, 4199, 11938, 269, 2107, 6148, 513, 2754, 3085, 1406, 1174, 519, 3020, 2707, 540, 519, 1379, 269, 898, 1223, 581, 607, 2241, 607, 3001, 741, 24913, 547, 1776, 3148, 602, 3096, 1152, 7791, 1648, 2959, 607, 513, 2707, 269, 8786, 267, 972, 949, 581, 930, 1764, 593, 26125, 267, 855, 519, 2318, 1764, 593, 6940, 949, 29387, 713, 563, 1607, 568, 4277, 8631, 269, 594, 3858, 609, 1210, 6531, 7384, 547, 2569, 3327, 269, 1717, 267, 899, 3388, 3116, 267, 649, 991, 547, 1174, 1018, 779, 2731, 2469, 593, 1354, 649, 666, 14773, 1967, 563, 15648, 9736, 476, 1708, 273, 9517, 294, 18058, 267, 5549, 269, 0, 19530, 539, 5547, 12545, 616, 1419, 13381, 998, 24905, 1782, 269, 667, 1143, 656, 1782, 3322, 519, 8851, 540, 6263, 3334, 593, 519, 20111, 269, 4495, 16626, 267, 1082, 540, 891, 3334, 666, 581, 1031, 1586, 269, 5871, 20111, 3334, 1331, 29522, 267, 17176, 267, 8301, 1124, 22806, 267, 7641, 11690, 338, 267, 27856, 267, 16546, 267, 25336, 267, 10911, 25629, 267, 27178, 543, 27820, 563, 1692, 798, 5547, 12545, 1205, 13381, 888, 763, 27822, 6713, 585, 20111, 338, 454, 15425, 289, 9657, 5956, 609, 519, 2168, 1184, 540, 17656, 4882, 15659, 519, 12545, 547, 4894, 3334, 267, 543, 1287, 5969, 519, 12545, 883, 4130, 25098, 269, 901, 1184, 18788, 29522, 267, 16546, 267, 9075, 267, 11690, 338, 267, 15373, 832, 267, 27178, 267, 3728, 22211, 267, 543, 824, 2694, 689, 513, 20111, 563, 6701, 5547, 12545, 6691, 762, 888, 3725, 19464, 513, 7377, 4327, 7179, 539, 18065, 8274, 269, 2480, 1905, 11953, 20111, 338, 630, 328, 4318, 269, 10002, 641, 4327, 20111, 338, 264, 2270, 1507, 5666, 540, 7601, 602, 666, 581, 13381, 269, 634, 2179, 540, 4154, 267, 8988, 267, 610, 17646, 538, 873, 568, 2356, 6263, 269, 2560, 1403, 519, 20111, 568, 20651, 609, 3334, 267, 1287, 972, 568, 811, 1570, 602, 1223, 581, 13381, 563, 3674, 621, 4502, 9657, 5547, 12545, 888, 2252, 596, 666, 1205, 707, 3946, 593, 476, 2004, 267, 476, 1911, 267, 610, 476, 4335, 540, 873, 543, 6494, 741, 5547, 12545, 547, 721, 585, 9657, 267, 596, 666, 1118, 513, 2603, 540, 2724, 269, 634, 12545, 689, 476, 1911, 5904, 1223, 6556, 607, 1454, 607, 1269, 274, 267, 1822, 4502, 540, 4154, 269, 1656, 596, 1522, 581, 2111, 547, 1205, 4587, 5904, 585, 1863, 267, 1175, 676, 5356, 547, 688, 592, 873, 2476, 563, 4692, 596, 16150, 2025, 5547, 12545, 888, 2791, 666, 6133, 519, 5547, 12545, 538, 707, 2780, 543, 824, 5907, 3937, 547, 5907, 6691, 619, 610, 4496, 1201, 514, 7685, 269, 2560, 1234, 7094, 619, 666, 19074, 930, 2609, 540, 519, 5547, 4604, 2047, 610, 15835, 1524, 519, 3003, 4604, 547, 7556, 10475, 8407, 563, 1432, 666, 594, 798, 609, 2025, 5547, 12545, 888, 4407, 930, 4025, 949, 3398, 707, 2025, 7641, 338, 543, 5904, 267, 1866, 949, 1152, 1616, 519, 5547, 4604, 630, 6518, 666, 3362, 581, 6569, 1040, 6744, 856, 7270, 899, 3047, 26605, 2593, 610, 5291, 2517, 5197, 271, 516, 19464, 2593, 270, 547, 1265, 856, 1141, 596, 666, 22120, 891, 3457, 269, 3509, 11418, 3549, 849, 723, 4123, 538, 610, 9657, 3292, 563, 1432, 568, 556, 13094, 689, 5547, 12545, 888, 15425, 24871, 1419, 2270, 10475, 8407, 971, 607, 8988, 267, 4154, 267, 23080, 18123, 543, 7601, 269, 4438, 9657, 267, 909, 547, 476, 4200, 260, 540, 891, 10475, 8407, 666, 581, 16626, 563, 6701, 5547, 12545, 13818, 3653, 888, 19530, 539, 5547, 12545, 616, 13818, 3653, 269, 901, 3340, 621, 814, 547, 581, 26356, 609, 513, 1697, 1259, 269, 2560, 645, 668, 7149, 18723, 29472, 1218, 267, 1291, 1151, 1457, 543, 513, 1507, 2179, 540, 824, 10475, 8407, 616, 8659, 538, 9102, 5547, 12545, 563, 3963, 568, 621, 2182, 547, 22120, 20111, 888, 3725, 19464, 20111, 338, 568, 4101, 267, 2094, 513, 20111, 3568, 1896, 1114, 6464, 267, 8407, 630, 10175, 10475, 8407, 971, 607, 4154, 267, 8988, 543, 7601, 264, 543, 4837, 11103, 269, 2560, 4595, 570, 656, 531, 636, 568, 538, 971, 1164, 24683, 663, 543, 2352, 547, 12990, 267, 9657, 621, 689, 1439, 6361, 3734, 11418, 568, 1271, 547, 922, 13455, 946, 563, 1432, 568, 519, 1034, 3407, 6691, 762, 5057, 540, 513, 5547, 4604, 888, 15425, 24871, 2270, 1804, 2179, 540, 7601, 267, 1151, 1457, 543, 19695, 2059, 609, 4401, 543, 10475, 8407, 281, 5111, 476, 3445, 260, 540, 519, 17271, 1871, 540, 1034, 16150, 12545, 568, 538, 519, 4154, 543, 23080, 18123, 1543, 563, 1692, 1454, 798, 5547, 12545, 16150, 585, 888, 763, 9657, 3902, 540, 519, 3653, 5547, 12545, 9775, 2687, 547, 519, 2497, 267, 3622, 8151, 689, 476, 1220, 271, 268, 5197, 876, 586, 10224, 18121, 2764, 268, 259, 18605, 271, 1040, 3776, 5547, 4604, 9657, 3937, 666, 22120, 4496, 543, 16150, 4496, 3330, 267, 799, 666, 581, 4421, 547, 1118, 2724, 269, 0, 763, 9502, 267, 16754, 267, 543, 9046, 7151, 540, 519, 32437, 268, 11328, 1061, 4813, 454, 1692, 1677, 5269, 32437, 3955, 1061, 4813, 1107, 2290, 540, 519, 1082, 3029, 1031, 547, 2099, 513, 5276, 3830, 267, 519, 835, 1034, 4749, 11402, 568, 519, 9386, 18448, 1106, 269, 1411, 949, 946, 519, 4542, 585, 519, 9386, 25435, 538, 1931, 547, 4194, 513, 1899, 3830, 607, 1279, 607, 602, 596, 723, 519, 2786, 1899, 779, 9386, 607, 1134, 607, 519, 586, 25435, 269, 901, 568, 519, 11282, 540, 519, 1448, 779, 586, 14289, 1141, 519, 586, 14289, 12969, 338, 519, 1899, 269, 6258, 811, 827, 713, 1880, 5276, 3830, 1106, 2630, 563, 1432, 1772, 634, 32437, 3955, 1061, 4813, 888, 2467, 616, 1614, 1292, 3029, 540, 5276, 4834, 267, 12077, 519, 3044, 9386, 267, 9386, 25435, 543, 1448, 1606, 331, 2100, 269, 9282, 789, 1683, 2147, 2164, 950, 1031, 538, 14966, 267, 596, 666, 3489, 519, 1344, 1899, 5488, 609, 519, 9386, 25435, 1106, 269, 898, 568, 513, 1106, 602, 267, 607, 519, 2012, 5267, 267, 713, 1106, 3096, 519, 1793, 25660, 1899, 543, 621, 568, 519, 968, 4614, 788, 1145, 892, 540, 519, 1899, 11887, 922, 4644, 563, 1607, 4542, 666, 581, 1031, 547, 3313, 519, 9386, 540, 2786, 3515, 267, 519, 586, 25435, 630, 10193, 1634, 607, 519, 1535, 25435, 1070, 799, 666, 581, 7229, 1210, 513, 3099, 540, 12596, 602, 616, 2139, 269, 634, 1899, 3830, 538, 713, 4542, 568, 586, 815, 544, 343, 1341, 536, 269, 634, 9386, 540, 519, 2786, 1899, 568, 8612, 538, 519, 1106, 540, 968, 332, 5608, 1247, 922, 586, 25435, 568, 1129, 1881, 998, 968, 321, 6100, 5272, 1448, 593, 519, 2786, 1899, 568, 6719, 609, 606, 630, 343, 267, 586, 1040, 8074, 602, 538, 519, 586, 815, 544, 343, 1341, 536, 3830, 4542, 519, 968, 343, 892, 543, 519, 968, 344, 892, 1590, 2611, 607, 4632, 563, 2304, 7151, 540, 11930, 32437, 3955, 1061, 4813, 538, 10819, 454, 1103, 519, 1483, 1158, 267, 519, 9386, 18448, 1106, 568, 4122, 1031, 547, 9414, 875, 606, 6221, 610, 3390, 27372, 936, 922, 1576, 269, 634, 1871, 3177, 676, 519, 7299, 7852, 6920, 875, 519, 3830, 9607, 519, 4110, 540, 1689, 936, 1018, 568, 6719, 998, 519, 8880, 7852, 630, 20200, 1227, 942, 1916, 288, 2241, 1383, 540, 1210, 713, 4542, 568, 547, 3605, 875, 519, 2551, 9428, 538, 513, 1808, 1858, 607, 519, 1296, 979, 676, 269, 769, 519, 2680, 602, 519, 1858, 779, 2551, 4679, 21496, 676, 513, 6378, 2179, 267, 519, 1448, 2179, 540, 519, 8880, 1899, 786, 4473, 835, 1448, 693, 513, 4090, 609, 1142, 8429, 1032, 543, 519, 4502, 540, 519, 7299, 4336, 786, 1332, 538, 8167, 547, 519, 2551, 2208, 676, 519, 2179, 6378, 563, 2791, 949, 849, 5469, 519, 4358, 1448, 540, 513, 4161, 269, 634, 4358, 1448, 568, 519, 586, 779, 1871, 1369, 519, 586, 685, 5793, 1061, 269, 634, 962, 25435 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1103, 6081, 568, 513, 1106, 540, 7542, 618, 762, 6775, 1572, 606, 23731, 657, 21839, 728, 454, 6518, 2337, 1711, 513, 7874, 1604, 585, 5363, 4551, 538, 519, 9667, 8778, 269, 898, 4386, 6923, 538, 930, 3536, 267, 543, 568, 5051, 1031, 607, 513, 1426, 19605, 269, 5221, 621, 568, 7542, 618, 762, 267, 621, 666, 2014, 3154, 269, 769, 6081, 607, 513, 2067, 851, 540, 2371, 949, 6411, 8335, 538, 519, 1560, 982, 950, 621, 568, 9678, 607, 513, 1426, 12146, 269, 769, 1880, 267, 930, 1004, 1867, 513, 1973, 4006, 4473, 689, 834, 869, 2275, 16808, 257, 2472, 609, 538, 6081, 563, 5415, 6168, 744, 5554, 657, 30828, 543, 2776, 321, 7821, 454, 303, 1258, 10586, 281, 5442, 586, 5622, 13274, 454, 13349, 7323, 335, 32478, 281, 538, 344, 6081, 538, 340, 14979, 0, 301, 2720, 525, 1404, 606, 1271, 1909, 1369, 519, 1072, 1416, 1062, 267, 3246, 543, 21528, 538, 519, 11865, 540, 3119, 267, 6281, 543, 24596, 1377, 1072, 1416, 269, 15380, 267, 741, 960, 568, 9308, 14053, 269, 12502, 525, 4749, 4217, 2550, 547, 20834, 1047, 267, 4483, 1063, 7158, 543, 1685, 824, 2238, 540, 3232, 2713, 971, 607, 13125, 1154, 543, 17643, 532, 563, 301, 2720, 525, 723, 606, 2799, 1981, 540, 1394, 8373, 269, 22702, 609, 824, 22825, 267, 789, 723, 606, 2799, 1981, 540, 1394, 1928, 272, 454, 663, 513, 3670, 2053, 2362, 9860, 540, 1394, 5945, 269, 273, 454, 301, 2720, 525, 543, 1644, 2564, 4600, 1291, 782, 824, 23909, 585, 1981, 540, 1200, 333, 7007, 561, 29856, 954, 591, 974, 13887, 25923, 8506, 6413, 5314, 538, 2021, 269, 274, 454, 13010, 267, 10506, 543, 8808, 543, 10821, 1416, 6703, 1291, 782, 6080, 585, 9036, 5945, 543, 4576, 269, 275, 454, 19617, 2730, 2188, 723, 1044, 1336, 547, 2333, 11923, 262, 1981, 540, 1394, 1928, 269, 276, 454, 16498, 4452, 543, 960, 14302, 1404, 513, 1909, 267, 607, 798, 26447, 2188, 971, 607, 7209, 543, 519, 4527, 540, 2618, 657, 11703, 2589, 269, 4518, 4305, 543, 960, 12438, 1049, 2188, 723, 1044, 3254, 547, 581, 1713, 4220, 538, 1367, 2090, 267, 4352, 950, 782, 8062, 616, 2808, 519, 2963, 568, 22522, 269, 16711, 20340, 616, 1271, 267, 609, 8808, 20843, 693, 3152, 1981, 585, 1394, 1928, 982, 10805, 11923, 269, 13012, 538, 519, 8808, 3924, 949, 849, 581, 4143, 267, 609, 513, 3395, 1560, 540, 2963, 11021, 602, 7820, 11923, 616, 693, 6574, 1981, 269, 276, 454, 15275, 2305, 540, 1367, 2168, 30661, 540, 1394, 1928, 568, 811, 21792, 269, 18370, 8826, 2090, 1265, 15866, 1875, 13001, 338, 22658, 3347, 610, 22522, 2164, 269, 277, 267, 278, 267, 279, 267, 280, 267, 1015, 454, 4913, 267, 4389, 14694, 19755, 540, 519, 12636, 814, 1044, 4857, 607, 513, 1981, 3815, 538, 1079, 2090, 269, 1556, 267, 1321, 454, 12988, 1928, 543, 5945, 723, 513, 2101, 1764, 593, 519, 4398, 540, 519, 8808, 13781, 269, 21362, 1229, 11923, 7584, 18749, 543, 8808, 513, 1938, 543, 1931, 15533, 616, 5207, 19486, 2066, 782, 23909, 585, 1394, 7063, 5473, 2395, 2476, 689, 960, 538, 4357, 2872, 269, 1724, 454, 12988, 7063, 543, 25739, 4600, 262, 13180, 6811, 538, 11923, 616, 7199, 269, 769, 1279, 13001, 3410, 1416, 6703, 538, 519, 2136, 2276, 267, 11923, 262, 1394, 7063, 616, 6059, 547, 1942, 936, 2475, 259, 277, 2929, 538, 967, 655, 333, 640, 543, 2564, 11033, 269, 12502, 525, 262, 13180, 585, 1394, 5945, 13408, 476, 6321, 269, 275, 260, 540, 782, 967, 655, 333, 640, 3790, 543, 476, 4649, 269, 272, 260, 540, 782, 2564, 3790, 269, 273, 454, 1103, 835, 8241, 1533, 267, 12016, 1394, 5945, 6811, 20039, 585, 1269, 288, 273, 269, 4375, 2929, 18820, 538, 835, 2883, 1032, 269, 1691, 454, 20776, 29418, 267, 1906, 9836, 8039, 723, 11567, 519, 12117, 540, 7459, 547, 2061, 1394, 1928, 543, 5945, 538, 11923, 269, 2290, 2689, 799, 3769, 8062, 936, 513, 476, 1015, 13001, 20204, 1974, 909, 547, 476, 1960, 279, 3177, 513, 2239, 5758, 855, 8959, 547, 6060, 519, 27696, 2298, 540, 8062, 610, 4612, 4681, 538, 7156, 540, 8795, 1374, 20924, 269, 1428, 454, 288, 9836, 2689, 540, 7459, 547, 2569, 30273, 7063, 2404, 609, 7829, 2550, 3769, 1082, 4143, 8062, 855, 729, 711, 5059, 593, 11923, 543, 7608, 1970, 13001, 638, 1275, 6272, 971, 607, 3318, 6644, 269, 1626, 454, 763, 3119, 6662, 540, 713, 1353, 729, 547, 18928, 2689, 519, 3332, 547, 3313, 2436, 972, 616, 7459, 609, 8810, 12117, 602, 2061, 1394, 1928, 543, 1394, 5945, 538, 11923, 269, 589, 2689, 2519, 4481, 593, 11923, 729, 2808, 2556, 1813, 547, 519, 2189, 2470, 540, 8808, 960, 269, 0, 294, 4261, 906, 723, 16219, 547, 2413, 1125, 4516, 779, 1884, 1172, 730, 4031, 12044, 9354, 5061, 2094, 476, 1960, 276, 2443, 1152, 547, 536, 1779, 593, 519, 12939, 540, 1689, 267, 693, 1655, 512, 1074, 1359, 1472, 922, 8728, 269, 1306, 513, 12343, 267, 23671, 616, 2451, 14413, 638, 2299, 6870, 676, 513, 5313, 5253, 543, 24391, 2920, 602, 779, 513, 7452, 344, 882, 545, 267, 12303, 2150, 31189, 2094, 476, 4198, 274, 269, 901, 3762, 2657, 4516, 609, 519, 670, 2075, 2544, 534, 4305, 540, 4180, 602, 1312, 2025, 543, 1007, 6527, 616, 607, 2922, 607, 789, 616, 2500, 1510, 519, 7060, 267, 9431, 2645, 610, 2200, 547, 798, 865, 563, 10890, 4516, 543, 16275, 16281, 779, 630, 4692, 6598, 23941, 540, 2657, 3194, 264, 4745, 1269, 1789, 2929, 6079, 5092, 538, 513, 3075, 3106, 543, 7145, 3060, 568, 513, 1434, 1376, 538, 27647, 1944, 519, 4081, 2146, 547, 4410, 4143, 1382, 269, 634, 11450, 786, 581, 606, 1271, 1900, 4724, 811, 2500, 3106, 3800, 267, 855, 621, 2488, 1152, 513, 6824, 540, 519, 2724, 2877, 547, 3313, 519, 1483, 4220, 543, 13354, 2640, 540, 13310, 5061, 563, 763, 1249, 568, 267, 865, 2370, 568, 1634, 827, 519, 3106, 540, 1034, 3209, 3075, 7135, 602, 519, 13847, 540, 1007, 5061, 616, 1419, 9247, 6901, 2443, 855, 1510, 513, 7014, 267, 8060, 610, 2312, 4093, 547, 2268, 269, 634, 1761, 4539, 1331, 796, 656, 4602, 730, 7972, 543, 1272, 18446, 8374, 267, 607, 538, 519, 4922, 4080, 1806, 540, 887, 10623, 1723, 343, 756, 630, 309, 8610, 343, 264, 585, 12263, 267, 272, 887, 338, 580, 26569, 1794, 821, 630, 13510, 663, 807, 264, 585, 3987, 273, 543, 751, 326, 6471, 617, 630, 313, 601, 17884, 264, 585, 8886, 762, 15108, 6794, 269, 274, 634, 9241, 9516, 5711, 1884, 4815, 698, 592, 1218, 546, 629, 580, 520, 3757, 543, 678, 643, 541, 2135, 629, 534, 1058, 2014, 13380, 4145, 2016, 741, 4028, 10073, 5103, 519, 1906, 2090, 18113, 10503, 3978, 1761, 4220, 269, 275, 454, 4263, 519, 1482, 942, 267, 4587, 5061, 616, 4847, 547, 3136, 593, 519, 2344, 12303, 1510, 23388, 269, 4634, 952, 4145, 827, 8801, 2360, 616, 6659, 896, 519, 5253, 543, 24391, 2920, 267, 2657, 4516, 3112, 1931, 2022, 21466, 2090, 547, 3950, 519, 1995, 609, 513, 3075, 269, 7439, 666, 621, 6895, 513, 3075, 2754, 779, 3461, 1036, 3588, 610, 2307, 513, 2754, 547, 2932, 9836, 8039, 540, 5571, 543, 6192, 8062, 547, 4983, 782, 519, 1239, 689, 6417, 2090, 269, 2657, 4516, 666, 21907, 513, 17319, 20022, 540, 6455, 540, 513, 3075, 610, 3747, 15639, 540, 606, 22247, 3075, 689, 519, 2344, 267, 855, 2443, 11212, 2443, 3340, 606, 24215, 1164, 4110, 540, 22979, 1354, 621, 23297, 547, 3196, 513, 3075, 2754, 547, 16783, 269, 5221, 9431, 8128, 6999, 547, 2463, 519, 13190, 540, 1072, 4648, 267, 789, 849, 3801, 547, 1217, 543, 13599, 13500, 267, 15691, 2443, 1419, 538, 642, 664, 2443, 602, 29307, 513, 865, 10777, 968, 18872, 4216, 9963, 892, 547, 1072, 4648, 786, 26193, 946, 269, 276, 454, 3086, 267, 2943, 1776, 3801, 547, 2413, 1125, 938, 4031, 568, 25093, 267, 4358, 609, 513, 1007, 5180, 540, 29492, 543, 21981, 689, 4966, 269, 277, 1284, 723, 513, 4960, 547, 27513, 2229, 2962, 267, 547, 1711, 513, 1426, 543, 3075, 957, 602, 786, 798, 3388, 2009, 547, 2327, 6527, 267, 1007, 543, 2025, 267, 616, 2922, 543, 2500, 563, 2171, 3494, 1022, 6963, 1058, 1376, 609, 1454, 811, 2347, 2963, 1373, 10356, 1354, 513, 3075, 568, 9516, 269, 1280, 1383, 267, 14453, 3549, 1223, 581, 2838, 547, 979, 3564, 519, 3908, 1239, 540, 513, 1906, 19747, 8062, 5342, 538, 5697, 2550, 945, 616, 1034, 2693, 547, 4324, 267, 543, 849, 5531, 2963, 689, 31544, 19747, 8062, 538, 1804, 2338, 540, 2550, 609, 1906, 9993, 2966, 547, 1683, 1483, 8996, 9193, 540, 2949, 2640, 543, 1981, 563, 3849, 641, 1154, 713, 1935, 267, 2705, 267, 1131, 1152, 581, 15164, 952, 519, 2475, 5253, 543, 10684, 10029, 543, 3864, 5709, 1149, 10837, 849, 4957, 741, 4441, 269, 1280, 2657, 4516, 4805, 547, 20818, 31749, 4031, 543, 6042, 1131, 1152, 4196, 547, 9813, 622, 14453, 3549, 543, 5732, 3441, 519, 8225, 13564, 25808, 540, 29505, 3549, 563, 5194, 267, 5310, 811, 4052, 267, 4781, 1131, 581, 547, 798, 1454, 811, 5464, 2899, 513, 3075, 568, 5950, 267, 799, 568, 1634, 607, 11636, 3075, 24416, 610, 513, 1272, 268, 12860, 1935, 269, 278, 28626, 24416, 17767, 602, 1702, 827, 4220, 27372, 2429, 519, 1272, 4783, 540, 5061, 267, 1317, 1142, 3075, 568, 1152, 513, 851, 540, 513, 1950, 9354, 1604, 1141, 811, 982, 476, 6110, 2929, 1095, 18587, 616, 9783, 12422, 269, 11330, 7859, 540, 11636, 24416, 8044, 602, 621, 2636, 811, 8112, 585, 9431, 8128, 547, 26544, 607, 4220, 10836, 936, 942, 269, 11534, 7859, 8044, 602, 713, 4640, 666, 581, 1031, 607, 513, 24134, 676, 14453, 3549, 547, 798, 1447, 840, 21466, 4152, 547, 1205, 741, 3075, 547, 2344, 5488, 563, 17457, 1944, 938, 9086, 547, 3142, 621, 538, 1899, 609, 811, 909, 3562, 15082, 9479, 2443, 971, 607, 1346, 540, 519, 2136, 2276, 543, 519, 3864, 5742, 2443, 568, 606, 1898, 1101, 1900, 547, 10930, 5061, 269, 7201, 513, 1007, 1876, 267, 649, 1058, 15186, 7794, 4390, 538, 4516, 547, 2932, 1804, 267, 2551, 2861, 22423, 2090, 540, 6527, 267, 1804, 31544, 8062, 543, 5571, 20241, 540, 19747, 2090, 1210, 2409, 971, 607, 19469, 13849, 20400, 563, 30131, 607, 621, 568, 267, 15424, 25430, 1058, 1152, 581, 519, 1101, 1900, 538, 513, 1007, 1279, 3856, 3075, 3106, 4640, 585, 2657, 4516, 269, 2060, 865, 1906, 2200, 267, 519, 8257, 1522, 7494, 3986, 922, 3310, 676, 14304, 12352, 547, 2932, 4745, 8039, 540, 840, 21466, 13170, 609, 824, 2101, 22124, 269, 6936, 12352, 267, 1519, 513, 10160, 693, 519, 3375, 6194, 3349, 267, 4687, 540, 1344, 543, 513, 1318, 540, 1201, 639, 1023, 267, 609, 1804, 8041, 971, 607, 519, 5253, 543, 10684, 10029, 543, 519, 3864, 5709, 1149, 10837, 949, 3035, 3152, 31931, 1510, 10205, 532, 8225, 16285, 563, 5194, 4244, 1131, 581, 547, 556, 10864, 582, 5573, 1942, 3146, 11734, 2994, 609, 519, 14453, 2872, 269, 4014, 713, 1935, 949, 1205, 5061, 547, 2344, 811, 6385, 267, 621, 814, 1044, 3905, 569, 29653, 538, 519, 2475, 1317, 621, 5012, 547, 3978, 7526, 540, 1719, 1063, 519, 2872, 543, 9431, 8128, 267, 543, 5732, 2164, 538, 13170, 540, 22247, 5061, 602, 616, 5555, 6569, 689, 519, 2344, 269, 279, 454, 32381, 540, 1935, 267, 649, 1058, 3343, 11615, 540, 4336, 267, 31931, 267, 3152, 5698, 1851, 9431, 8128, 543, 267, 6038, 267, 513, 1454, 3152, 1445, 593, 2022, 27360, 7566, 13178, 563, 15152, 513, 1007, 1876, 267, 4441, 585, 13170, 1058, 711, 581, 22485, 543, 11413, 1058, 581, 31062, 269, 280, 8307, 609, 2178, 24235, 543, 2797, 786, 666, 2657, 4516, 798, 513, 1732, 2816, 540, 4180, 5061, 798, 811, 1434, 982, 2800, 269, 0, 292, 17733, 713, 3239, 454, 288, 5432, 2012, 538, 519, 18740, 540, 3004, 3022, 344, 454, 294, 2958, 29861, 5459, 12116, 1010, 3993, 781, 2012, 593, 513, 3774, 693, 667, 13681, 1080, 5652, 962, 541, 3544, 10609, 1046, 990, 267, 12907, 269, 18786, 593, 5463, 269, 476, 2918, 267, 476, 3707, 272, 267, 519, 21647, 1793, 4381, 1229, 811, 982, 476, 1626, 267, 1822, 7642, 972, 269, 769, 519, 1016, 614, 10328, 18740, 540, 3004, 3022, 344, 267, 519, 4408, 540, 476, 275, 267, 4968, 540, 519, 4666, 616, 31960, 593, 519, 6821, 267, 25139, 676, 23156, 2775, 269, 29861, 5459, 781, 3993, 267, 1498, 267, 23012, 519, 12556, 602, 519, 3774, 5638, 267, 543, 29861, 5459, 8120, 547, 12907, 538, 476, 1220, 277, 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 ]
[ 5101, 267, 610, 4639, 269, 670, 8582, 8668, 20796, 16775, 269, 1284, 1628, 513, 3113, 1141, 519, 9041, 27161, 5334, 2099, 519, 1533, 540, 519, 5817, 631, 7894, 543, 519, 9859, 6402, 2099, 3527, 602, 666, 581, 3144, 593, 1142, 1533, 0, 5591, 267, 789, 798, 711, 2291, 269, 11272, 2361, 3515, 616, 1152, 16494, 269, 1358, 616, 519, 10092, 2059, 799, 606, 16494, 1770, 5279, 1131, 1847, 950, 1863, 269, 4256, 1297, 568, 12808, 607, 10092, 630, 25821, 2361, 3515, 264, 666, 581, 12808, 563, 2710, 2361, 3515, 543, 3167, 4610, 2965, 2291, 888, 2710, 2361, 3515, 543, 3167, 4610, 2965, 2291, 286, 2560, 3167, 4610, 798, 267, 855, 2361, 3515, 798, 711, 269, 12197, 3515, 1683, 513, 2203, 540, 606, 3167, 2361, 855, 3167, 4610, 1683, 513, 1505, 540, 12719, 519, 3196, 593, 513, 9901, 1560, 563, 2710, 519, 2361, 3515, 2965, 2291, 888, 275, 12226, 269, 634, 3167, 543, 6419, 4610, 616, 1483, 1919, 281, 789, 666, 4558, 1648, 543, 4483, 11610, 269, 968, 293, 1752, 3515, 892, 610, 968, 6050, 540, 3196, 892, 616, 513, 14839, 1907, 5078, 585, 5373, 6152, 4610, 269, 1358, 616, 7851, 540, 519, 4610, 543, 519, 4610, 616, 1483, 1919, 563, 2710, 3167, 2361, 3515, 2731, 2291, 1018, 568, 827, 519, 2361, 789, 2099, 888, 25821, 3515, 540, 3196, 4564, 519, 4287, 540, 3167, 2361, 269, 11272, 3515, 540, 3196, 666, 581, 3989, 607, 513, 1259, 610, 2619, 267, 621, 949, 581, 2786, 610, 17208, 267, 865, 602, 519, 17242, 693, 1022, 1448, 547, 621, 3947, 519, 4287, 540, 519, 3167, 2361, 8515, 693, 602, 1448, 563, 3674, 621, 2009, 585, 606, 3167, 2361, 547, 2291, 693, 930, 1448, 538, 2230, 693, 799, 972, 568, 1100, 5279, 888, 304, 736, 1772, 621, 2009, 585, 606, 3167, 2361, 547, 2291, 693, 930, 1448, 538, 2230, 693, 799, 972, 568, 1100, 5279, 286, 8786, 267, 782, 649, 991, 547, 723, 568, 513, 5279, 12341, 538, 2230, 602, 666, 11851, 513, 3196, 593, 513, 2318, 1449, 5279, 4547, 547, 602, 1448, 538, 2230, 563, 9989, 606, 3167, 2361, 2291, 538, 513, 12511, 888, 272, 264, 962, 2464, 267, 3167, 4610, 2291, 543, 666, 8831, 9706, 1886, 698, 622, 998, 513, 12511, 563, 6701, 6419, 4610, 12808, 888, 288, 6419, 2361, 814, 1100, 2959, 610, 29826, 630, 294, 320, 1380, 779, 1876, 585, 11275, 1143, 1070, 865, 922, 2361, 3515, 723, 1100, 1376, 610, 1439, 281, 789, 666, 1152, 1106, 6806, 17787, 267, 8831, 547, 20581, 538, 1312, 8846, 267, 610, 3136, 22543, 17802, 1510, 2479, 15385, 3294, 563, 4692, 3167, 2361, 3515, 3444, 888, 25821, 2361, 3515, 2760, 3444, 1142, 824, 269, 11272, 2361, 3515, 616, 1034, 10053, 1472, 3615, 609, 519, 6574, 2179, 540, 5279, 269, 2311, 6753, 1141, 3167, 2361, 3515, 2743, 519, 2627, 540, 606, 1843, 267, 519, 3515, 616, 13902, 547, 519, 2627, 563, 4692, 2361, 3515, 1439, 1510, 513, 5279, 888, 16978, 3740, 2361, 3515, 666, 1152, 2253, 543, 2165, 3729, 693, 10997, 563, 6701, 3167, 2361, 3515, 2786, 888, 25821, 2361, 3515, 616, 2141, 2786, 269, 2353, 3167, 1494, 655, 339, 10118, 616, 6027, 609, 2463, 547, 519, 2942, 12363, 540, 519, 1379, 3761, 563, 3963, 798, 3167, 2361, 3515, 2760, 3444, 888, 25821, 2361, 3515, 3112, 3444, 269, 2560, 901, 568, 1317, 789, 616, 267, 676, 4214, 267, 513, 1899, 540, 3586, 1761, 269, 634, 16491, 582, 1113, 693, 513, 2016, 1448, 538, 2230, 666, 1152, 723, 513, 2582, 1871, 269, 1403, 3515, 585, 1079, 1114, 2418, 540, 519, 1761, 941, 547, 3444, 267, 1287, 789, 1131, 1100, 3476, 2099, 16491, 582, 1113, 3515, 563, 4692, 606, 3167, 2361, 2291, 3330, 513, 18364, 888, 5591, 3167, 2361, 6818, 3330, 519, 18364, 267, 2094, 1863, 10997, 538, 519, 18364, 1131, 3136, 3001, 538, 3210, 547, 1022, 2361, 2394, 621, 729, 9243, 1242, 269, 0, 347, 13750, 618, 1475, 3721, 1156, 681, 269, 22110, 6577, 267, 18496, 674, 269, 5062, 2704, 18090, 543, 8349, 10842, 787, 8198, 16085, 7685, 1475, 14276, 725, 538, 2067, 2257, 1315, 1715, 19839, 1873, 1157, 7467, 4534, 1100, 269, 476, 273, 267, 23549, 538, 2067, 2257, 630, 306, 5593, 3627, 267, 715, 11065, 4700, 4534, 1100, 269, 476, 273, 8198, 347, 6944, 1026, 1903, 1475, 21980, 787, 267, 8349, 1421, 5062, 2704, 18090, 267, 18496, 674, 8198, 347, 9448, 4147, 5874, 1475, 10258, 476, 10019, 269, 2918, 715, 275, 595, 7830, 476, 2735, 275, 2008, 21511, 8447, 8629, 2008, 19064, 698, 1588, 1475, 341, 267, 476, 4817, 533, 269, 2433, 2008, 31871, 540, 9664, 1475, 4817, 2008, 1103, 13207, 710, 281, 21784, 2989, 610, 23977, 1676, 762, 15661, 27140, 2835, 827, 12219, 610, 7925, 630, 8117, 711, 7396, 607, 13155, 264, 3662, 2249, 910, 2067, 1686, 267, 1604, 267, 2951, 690, 1132, 267, 3092, 269, 12219, 6741, 2886, 267, 27683, 267, 2951, 267, 2951, 690, 1132, 267, 7925, 6741, 2886, 267, 16385, 267, 10261, 1776, 28195, 547, 1521, 3054, 547, 1007, 1433, 713, 3018, 286, 1284, 4312, 3893, 269, 901, 568, 513, 1592, 540, 6177, 2249, 9672, 538, 519, 8225, 11662, 540, 1715, 1715, 19839, 1873, 1157, 16819, 19475, 9730, 630, 301, 17668, 13612, 264, 6744, 4289, 540, 1715, 19839, 1873, 1157, 20002, 8659, 2249, 607, 540, 4989, 27607, 3606, 2249, 723, 1044, 3773, 998, 5147, 1210, 552, 289, 2273, 269, 2986, 519, 2249, 593, 713, 1592, 267, 476, 10037, 616, 23139, 543, 476, 5392, 616, 4686, 607, 3989, 2630, 269, 29510, 15661, 267, 21784, 2989, 15661, 267, 543, 15443, 28371, 15661, 267, 19839, 1873, 1157, 6019, 267, 3345, 10491, 269, 8074, 281, 11321, 710, 21784, 2989, 543, 29510, 15661, 1344, 666, 581, 1336, 693, 519, 2817, 13149, 674, 529, 7685, 6796, 630, 301, 300, 12396, 264, 29510, 543, 21784, 2989, 15661, 3896, 21213, 281, 11879, 26335, 5071, 725, 281, 26932, 532, 726, 1478, 910, 4077, 611, 686, 639, 5283, 21402, 910, 6423, 519, 8549, 19193, 585, 513, 6609, 1547, 1715, 19839, 1873, 1157, 4564, 519, 7187, 3970, 540, 922, 2039, 543, 513, 3677, 2551, 5045, 540, 1715, 19839, 1873, 1157, 2337, 2226, 2338, 538, 519, 11662, 269, 15661, 2311, 11485, 538, 1715, 19839, 1873, 1157, 901, 3296, 3217, 606, 538, 3829, 1413, 693, 519, 476, 1626, 2249, 540, 18508, 543, 21426, 11280, 607, 968, 4263, 7304, 7416, 892, 538, 1715, 19839, 1873, 1157, 267, 607, 540, 11374, 616, 1249, 9212, 593, 1142, 540, 519, 17572, 12025, 281, 22995, 563, 12441, 596, 917, 602, 538, 1715, 19839, 1873, 1157, 267, 930, 540, 938, 2371, 543, 2831, 616, 538, 8594, 540, 7106, 8960, 286, 1284, 616, 2324, 593, 6051, 4566, 585, 891, 2249, 269, 3371, 616, 930, 540, 519, 2249, 693, 1981, 538, 1715, 19839, 1873, 1157, 269, 1280, 513, 2347, 1592, 267, 3643, 519, 15661, 693, 11485, 5398, 3204, 3588, 269, 3245, 530, 19470, 593, 519, 13272, 547, 986, 696, 832, 538, 519, 2011, 267, 689, 4677, 1673, 16946, 5152, 18346, 547, 4686, 27436, 2249, 267, 16819, 532, 538, 1715, 19839, 1873, 1157, 814, 621, 782, 269, 23433, 569, 13883, 593, 519, 27436, 2619, 689, 23529, 543, 11848, 4516, 547, 519, 12144, 543, 3162, 3013, 267, 1715, 19839, 1873, 1157, 19646, 513, 3376, 2039, 540, 9249, 267, 1818, 621, 606, 4998, 10278, 585, 5017, 543, 6177, 619, 7567, 270, 276, 263, 279, 1040, 15661, 610, 5095, 602, 949, 581, 693, 1981, 540, 970, 597, 335, 566, 610, 14486, 267, 543, 616, 4061, 10457, 585, 513, 2143, 1981, 4879, 676, 2910, 10345, 310, 2975, 610, 519, 1715, 19839, 1873, 1157, 6697, 269, 898, 2882, 2249, 602, 616, 540, 6161, 1317, 540, 1970, 2338, 267, 2551, 23229, 267, 610, 7226, 12503, 910, 1419, 538, 4999, 609, 513, 3668, 540, 1344, 7282, 269, 23977, 1676, 762, 15661, 799, 616, 2693, 547, 1831, 13155, 1369, 519, 1985, 476, 1839, 1296, 267, 952, 4986, 568, 2944, 547, 2087, 741, 3510, 269, 27824, 15661, 799, 723, 1507, 5095, 610, 1152, 2661, 538, 513, 1507, 1297, 540, 4025, 267, 543, 1223, 1831, 7925, 610, 13155, 3833, 3533, 269, 2859, 1344, 593, 4586, 272, 17497, 7396, 607, 834, 754, 11139, 257, 676, 519, 772, 269, 590, 269, 4972, 540, 519, 25181, 907, 476, 273, 17497, 7396, 607, 834, 628, 805, 2989, 257, 676, 519, 772, 269, 590, 269, 4972, 540, 519, 25181, 907, 476, 274, 15661, 568, 970, 597, 335, 730, 689, 1715, 3840, 3557, 907, 476, 275, 26932, 532, 1773, 1478, 568, 7396, 607, 10480, 518, 958, 13155, 538, 519, 4279, 20463, 16323, 267, 543, 607, 10480, 518, 958, 12219, 538, 519, 9533, 26066, 16323, 907, 26479, 269, 6987, 3307, 910, 15661, 568, 1100, 3476, 2713, 610, 269, 589, 1412, 1348, 262, 568, 18886, 1142, 942, 2576, 5784, 513, 8313, 5758, 630, 7945, 607, 519, 2140, 267, 7493, 267, 543, 1592, 540, 4589, 1070, 30390, 593, 513, 4137, 267, 610, 5784, 610, 28085, 519, 2407, 17856, 269, 634, 4414, 5903, 540, 21784, 2989, 15661, 630, 10193, 1634, 607, 519, 630, 296, 30002, 264, 4414, 5903, 610, 4414, 4578, 5903, 1070, 8547, 538, 2073, 568, 519, 1158, 781, 1034, 3102, 11891, 540, 519, 2518, 5726, 4567, 540, 6211, 3096, 513, 1305, 540, 7355, 547, 6218, 519, 14486, 1981, 540, 5215, 540, 2249, 543, 28849, 269, 1452, 7355, 616, 4143, 547, 782, 2249, 543, 782, 4525, 540, 519, 3919, 281, 4139, 5742, 585, 1547, 4516, 568, 1634, 585, 922, 5318, 4190, 8916, 540, 827, 2929, 4009, 12919, 602, 568, 711, 1152, 513, 7226, 585, 6634, 540, 1480, 7919, 855, 849, 513, 585, 513, 5318, 5044, 540, 7320, 269, 1717, 267, 519, 2831, 602, 9468, 713, 4190, 2197, 616, 711, 782, 7874, 547, 3425, 269, 634, 2831, 1336, 538, 4516, 945, 616, 2808, 547, 581, 5906, 1331, 519, 4779, 846, 267, 8701, 7703, 267, 3109, 7703, 267, 31352, 1774, 267, 31403, 8191, 281, 13690, 583, 2967, 31408, 269, 0, 763, 11135, 7615, 18509, 1588, 5489, 16670, 630, 4785, 8136, 1070, 610, 645, 7374, 267, 568, 519, 9972, 2136, 2276, 8136, 561, 807, 2581, 3693, 540, 519, 8136, 5794, 16140, 3590, 269, 634, 645, 7374, 5713, 607, 513, 8115, 1063, 519, 9972, 2475, 8136, 22071, 3693, 543, 519, 9972, 5794, 10414, 22071, 538, 1142, 9757, 2475, 8396, 656, 4971, 610, 14364, 540, 4238, 269, 634, 645, 7374, 6087, 519, 11558, 540, 8136, 5025, 597, 10414, 5692, 4971, 267, 3595, 1489, 267, 7471, 2011, 543, 23828, 8878, 267, 4987, 4687, 267, 2011, 11898, 2359, 267, 543, 2011, 331, 3424, 269, 16952, 6611, 267, 15536, 267, 543, 18329, 2782, 11071, 11160, 7695, 1450, 519, 645, 7374, 547, 2417, 5512, 519, 11280, 8136, 10414, 2155, 6387, 2066, 519, 2347, 8552, 540, 13137, 563, 2691, 519, 2817, 8232, 2920, 540, 476, 3707, 278, 6569, 519, 5794, 17620, 689, 519, 2475, 8136, 621, 3927, 22314, 519, 1646, 540, 14985, 5885, 6378, 26310, 2673, 2011, 1489, 630, 290, 3008, 264, 543, 2620, 10880, 11558, 607, 7207, 4824, 269, 1306, 8484, 7207, 2799, 267, 865, 1705, 519, 3747, 676, 519, 2475, 8136, 585, 3606, 1489, 585, 8396, 543, 10688, 4238, 269, 4438, 519, 11114, 2782, 267, 31909, 543, 5794, 3955, 323, 2109, 630, 9590, 264, 3177, 1713, 7418, 547, 519, 2112, 4674, 538, 27200, 10546, 17825, 267, 855, 8959, 547, 6961, 23801, 2687, 547, 2475, 543, 623, 6369, 2959, 269, 4014, 519, 5794, 543, 8092, 12668, 941, 3622, 13988, 267, 789, 941, 711, 1134, 20291, 269, 634, 10476, 2782, 4718, 519, 2475, 8136, 2333, 922, 16126, 593, 29357, 15963, 4721, 585, 31909, 538, 1840, 547, 519, 1646, 540, 570, 716, 673, 5794, 6513, 3487, 625, 547, 1683, 12363, 4323, 5583, 693, 519, 28365, 2157, 269, 7358, 1049, 4058, 1949, 7283, 3768, 324, 975, 539, 543, 5794, 8566, 1037, 16949, 4797, 547, 1685, 693, 1016, 268, 9953, 2711, 2157, 607, 29357, 15963, 1222, 1489, 3177, 519, 13591, 3070, 547, 519, 2475, 8136, 779, 5794, 8566, 1037, 16949, 14196, 269, 634, 476, 2735, 271, 338, 14754, 519, 1646, 540, 5794, 27455, 11135, 1684, 551, 9068, 267, 799, 16941, 8185, 593, 2475, 5794, 10414, 7207, 547, 3337, 519, 4323, 540, 3875, 3235, 3559, 976, 540, 8168, 17086, 538, 2342, 1141, 2475, 8136, 3203, 20455, 1223, 711, 3914, 610, 1683, 606, 4977, 1797, 540, 4323, 269, 4937, 12070, 10767, 700, 269, 595, 872, 577, 267, 7330, 293, 267, 19443, 538, 519, 5794, 1633, 11135, 11705, 337, 1400, 1646, 543, 4718, 621, 607, 513, 1797, 547, 2061, 519, 2475, 5794, 10414, 689, 9561, 28365, 5692, 8484, 547, 519, 2475, 8136, 269, 634, 17565, 6521, 2476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 607, 19498, 543, 15743, 13219, 2073, 6108, 741, 11174, 5933, 538, 1216, 855, 1847, 547, 2244, 2899, 789, 1831, 4079, 269, 630, 18080, 2615, 626, 2593, 994, 268, 1280, 3236, 267, 19498, 1522, 957, 607, 513, 6152, 585, 22151, 12748, 2890, 680, 10415, 883, 519, 575, 7491, 540, 519, 5017, 543, 16835, 602, 3548, 7786, 269, 630, 18080, 2615, 626, 2593, 994, 268, 2368, 11570, 5855, 602, 7786, 1522, 9742, 538, 519, 4099, 540, 28538, 7942, 6758, 267, 2523, 19498, 269, 630, 24849, 2967, 527, 1026, 2317, 268, 615, 12245, 2593, 994, 268, 13518, 811, 3978, 1498, 616, 519, 5107, 540, 1082, 2249, 540, 19498, 607, 10321, 540, 3676, 269, 630, 718, 516, 2536, 2593, 994, 268, 1717, 267, 4775, 19498, 540, 519, 595, 2544, 343, 10398, 16772, 2249, 616, 540, 1880, 6161, 267, 607, 789, 2661, 538, 28180, 543, 4683, 2127, 267, 666, 7639, 998, 519, 5162, 267, 4782, 547, 3049, 593, 5017, 267, 543, 4749, 11116, 3425, 269, 630, 1890, 743, 31638, 2593, 994, 268, 5871, 1426, 2959, 585, 19498, 267, 5017, 2099, 519, 3119, 654, 301, 309, 13111, 2249, 269, 630, 1890, 743, 31638, 2593, 994, 268, 17018, 10181, 3996, 666, 581, 18808, 609, 3927, 267, 543, 596, 2693, 616, 519, 18689, 10706, 540, 519, 5667, 2426, 12325, 540, 2199, 2229, 267, 707, 10315, 6152, 630, 21573, 10181, 334, 264, 1852, 8664, 269, 630, 4944, 531, 3429, 2000, 11274, 2593, 994, 268, 5410, 9791, 16819, 8075, 2094, 789, 8532, 1082, 7786, 1519, 19498, 269, 630, 4944, 531, 3429, 2000, 11274, 2593, 994, 268, 1403, 32760, 21307, 11538, 7786, 941, 538, 519, 2136, 2276, 267, 519, 19498, 602, 616, 2404, 609, 519, 3644, 1810, 1405, 9742, 538, 7573, 4610, 267, 2220, 10102, 610, 6360, 7297, 269, 630, 7699, 1410, 12975, 994, 268, 1358, 849, 2932, 12220, 585, 19498, 267, 13733, 543, 24217, 547, 3713, 519, 4527, 543, 4644, 540, 1761, 2068, 10321, 2404, 609, 519, 16789, 4859, 267, 7829, 543, 12871, 540, 18646, 267, 16789, 3653, 12871, 543, 2067, 2175, 269, 630, 650, 12437, 10993, 994, 268, 17018, 10181, 3996, 630, 291, 760, 614, 320, 281, 26943, 545, 13160, 264, 616, 1851, 519, 1655, 24713, 1221, 7786, 1317, 540, 741, 1909, 607, 19800, 10321, 1496, 476, 272, 476, 4940, 630, 30113, 7032, 2593, 994, 268, 1284, 11567, 6152, 3620, 739, 4205, 543, 3984, 1922, 29623, 3270, 540, 476, 276, 4029, 1973, 268, 1263, 528, 3022, 19498, 538, 2185, 19579, 18151, 10321, 676, 1210, 513, 29920, 5832, 5114, 630, 303, 10135, 264, 1505, 13389, 24197, 5027, 547, 2697, 9451, 24260, 14747, 540, 1973, 1922, 539, 19498, 269, 630, 1690, 339, 332, 327, 3820, 994, 268, 26616, 4152, 676, 1591, 2528, 267, 1483, 6066, 9258, 13973, 848, 6261, 10135, 267, 543, 6375, 334, 817, 904, 941, 1031, 547, 4983, 654, 301, 309, 3968, 538, 1973, 1922, 539, 19498, 267, 18151, 20115, 267, 4666, 5017, 267, 543, 11864, 269, 630, 1690, 339, 332, 327, 3820, 994, 268, 5600, 1710, 2583, 543, 513, 1906, 824, 6140, 1780, 518, 6134, 5017, 6039, 607, 519, 1292, 14747, 585, 519, 1973, 5498, 22701, 19498, 269, 630, 1690, 339, 332, 327, 3820, 994, 268, 19498, 10480, 593, 5017, 7783, 676, 623, 269, 882, 1112, 636, 4951, 513, 2539, 6668, 543, 6771, 2557, 982, 1346, 10480, 593, 5017, 7783, 676, 15495, 1644, 547, 623, 269, 25108, 1067, 1756, 1547, 630, 14369, 545, 269, 525, 994, 268, 3733, 3119, 1445, 568, 519, 1323, 641, 515, 956, 19498, 602, 10141, 13663, 267, 855, 594, 723, 2489, 1719, 538, 519, 7350, 540, 5521, 10321, 543, 519, 3676, 789, 10141, 269, 630, 326, 5055, 28482, 16896, 994, 268, 634, 3644, 6818, 538, 2470, 5097, 998, 513, 6771, 4783, 5473, 1978, 2249, 540, 19498, 543, 5017, 269, 630, 339, 333, 10993, 994, 268, 1306, 4867, 8045, 267, 13663, 6152, 13178, 538, 1016, 25781, 4000, 9072, 1439, 15047, 545, 543, 1439, 30858, 19498, 267, 6028, 608, 15047, 545, 630, 719, 21830, 1973, 1922, 29623, 264, 19498, 26173, 269, 630, 4364, 11988, 2593, 994, 268, 1306, 519, 3644, 7586, 5809, 538, 6177, 543, 19498, 267, 621, 29908, 936, 547, 3425, 269, 630, 339, 600, 340, 12975, 994, 268, 8621, 518, 2090, 8733, 3157, 602, 8141, 6771, 267, 543, 5251, 4162, 267, 1519, 2361, 2090, 540, 5017, 543, 19498, 269, 630, 339, 600, 340, 12975, 994, 268, 4477, 323, 676, 513, 6292, 540, 17408, 14162, 619, 267, 835, 540, 5215, 540, 16290, 19498, 568, 8947, 676, 11968, 13353, 6019, 21070, 6513, 10492, 269, 630, 26245, 1307, 2593, 994, 268, 17018, 10181, 3996, 1831, 7783, 609, 519, 4639, 20407, 3644, 1310, 8023, 593, 5017, 602, 1185, 519, 2068, 269, 630, 26245, 1307, 2593, 994, 268, 2657, 8387, 1572, 593, 7264, 2066, 4993, 547, 1491, 15416, 267, 971, 607, 9849, 5521, 28084, 550, 267, 12145, 2534, 693, 546, 23677, 543, 21554, 543, 1951, 1456, 834, 9227, 1216, 257, 538, 8768, 17428, 267, 11369, 1115, 543, 20115, 267, 799, 4482, 4212, 2000, 11691, 19498, 269, 630, 26245, 1307, 2593, 994, 268, 4639, 20407, 3644, 21307, 11538, 19498, 1336, 538, 5101, 6022, 334, 1325, 1729, 723, 19430, 6152, 20820, 8387, 547, 1931, 30574, 538, 16973, 2282, 519, 15922, 4133, 267, 8387, 9307, 13628, 269, 630, 335, 14900, 531, 1729, 26020, 2593, 994, 268, 5842, 631, 622, 334, 6019, 17018, 10181, 334, 543, 21070, 6513, 10588, 8047, 5234, 9571, 4639, 20407, 3644, 538, 2937, 19498, 593, 13628, 267, 2687, 547, 513, 2046, 5305, 269, 630, 335, 14900, 531, 1729, 26020, 2593, 994, 268, 1284, 666, 2503, 13350, 2068, 17061, 950, 10321, 899, 19498, 616, 851, 540, 938, 5117, 268, 3286, 899, 519, 8983, 602, 4163, 554, 656, 8785, 269, 630, 12921, 3326, 6921, 984, 953, 805, 338, 3820, 994, 268, 1306, 513, 1267, 519, 3644, 568, 1934, 547, 3251, 1317, 1312, 519, 5017, 543, 519, 19498, 616, 519, 23854, 540, 519, 2068, 8665, 630, 341, 6400, 1040, 630, 322, 6847, 12516, 2593, 994, 268, 17018, 10181, 3996, 1831, 7783, 998, 24146, 7783, 5017, 543, 10141, 519, 2068, 547, 1004, 950, 789, 11116, 269, 630, 1370, 758, 559, 2593, 994, 268, 2462, 1305, 540, 7786, 12961, 22404, 543, 10987, 1082, 2249, 538, 21305, 2025, 1688, 6537, 2511, 23678, 1386, 14745, 3574, 12827, 269, 630, 3333, 13616, 18450, 2593, 994, 268, 12079, 10118, 2161, 18151, 2249, 602, 4163, 5739, 8290, 899, 547, 3049, 593, 5017, 269, 630, 26245, 1307, 2593, 994, 268, 26597, 2249, 540, 5017, 267, 1519, 519, 2777, 838, 5535, 269, 630, 20580, 16746, 12975, 994, 268, 966, 26662, 585, 14921, 543, 22151, 6090, 616, 669, 9874, 20143, 21921, 5209, 540, 2694, 540, 1114, 4719, 15495, 865, 607, 547, 2333, 741, 3984, 2039, 267, 3976, 3850, 873, 547, 1098, 28698, 2249, 7496, 269, 630, 338, 12028, 340, 12975, 994, 268, 634, 10321, 267, 8876, 1098, 2102, 525, 543, 15084, 4187, 15262, 6090, 267, 1106, 5732, 11763, 4559, 585, 2417, 1098, 326, 11306, 540, 2249, 7496, 676, 8880, 5444, 4483, 267, 1775, 4318, 1421, 676, 3968, 269, 630, 338, 12028, 340, 12975, 994, 268, 634, 31523, 15451, 5095, 538, 519, 18714, 543, 12748, 5054, 7674, 607, 513, 8880, 5444, 4483, 19814, 543, 13111, 267, 14123, 519, 8691, 267, 21921, 1588, 540, 10321, 543, 3968, 540, 782, 2030, 543, 2831, 2249, 269, 630, 338, 12028, 340, 12975, 994, 268, 769, 4334, 267, 6771, 666, 849, 2049, 3842, 606, 13591, 2249, 630, 516, 31084, 547, 607, 513, 6152, 16532, 799, 4163, 519, 2068, 19800, 1510, 3478, 7783, 269, 630, 342, 7364, 3820, 994, 268, 2368, 8128, 4766, 873, 607, 8108, 513, 25436, 23853, 543, 891, 1614, 5017, 616, 3006, 9286, 538, 519, 5094, 12593, 24789, 4660, 3120, 267, 855, 519, 1699, 8760, 814, 873, 607, 5094, 2249, 538, 519, 12593, 24789, 4660, 320, 269, 630, 342, 7364, 3820, 994, 268, 589, 269, 562, 2317, 345, 339, 20654, 2073, 554, 2416, 1729, 2219, 606, 18811, 748, 608, 15047, 545, 543, 1212, 1186, 4788, 6152, 267, 2882, 1079, 2249, 267, 513, 4922, 7856, 1875, 268, 19066, 267, 589, 269, 546, 684, 5069, 328, 2073, 543, 606, 1439, 15047, 545, 27248, 6152, 269, 630, 1690, 339, 332, 327, 3820, 994, 268, 11088, 267, 519, 2249, 1034, 4122, 9575, 538, 938, 20637, 729, 6177, 22269, 268, 13331, 21428, 573, 269, 630, 4379, 12975, 994, 268, 901, 20394, 568, 5497, 547, 10332, 6079, 15837, 12696, 538, 519, 8832, 4279, 26111, 547, 8184, 2534, 676, 21428, 573, 2249, 1634, 547, 581, 1761, 10321, 540, 15837, 8290, 269, 630, 4379, 12975, 994, 268, 23897, 1343, 540, 2249, 3049, 593, 519, 1973, 540, 1585, 5686, 540, 14747, 267, 5631, 30900, 543, 849, 1519, 11864, 267, 5017, 267, 20641, 267, 27738, 543, 1256, 930, 5686, 540, 3165, 269, 630, 718, 516, 2536, 2593, 994, 268, 700, 1787, 568, 519, 1455, 2012, 585, 2818, 540, 936, 476, 274, 267, 1822, 2249, 540, 13617, 1652, 7786, 269, 630, 718, 516, 2536, 2593, 994, 268, 634, 3644, 814, 849, 1044, 4857, 538, 811, 982, 476, 7742, 6177, 2249, 538, 519, 2136, 2276, 267, 1519, 4544, 795, 904, 267, 986, 26223, 267, 4012, 335, 625, 267, 838, 541, 4900, 267, 543, 5182, 13530, 269, 630, 1890, 743, 31638, 2593, 994, 268, 11087, 12858, 13160, 568, 513, 1804, 14421, 641, 13457, 1920, 540, 827, 476, 10384, 271, 2249, 540, 2392, 2218, 7786, 538, 519, 1016, 4650, 670, 2678, 30601, 269, 630, 322, 597, 6350, 13548, 2593, 994, 268, 1306, 562, 8233, 338, 267, 930, 2249, 786, 3382, 543, 31491, 720, 2933, 609, 2030, 11935, 267, 610, 519, 3788, 540, 4666, 10352, 7786, 1547, 630, 322, 597, 6350, 13548, 2593, 994, 268, 901, 568, 519, 1101, 4466, 540, 5521, 26728, 22138, 807, 5027, 538, 519, 30057, 1062, 540, 5017, 267, 799, 666, 581, 6045, 2901, 676, 519, 26912, 1637, 540, 530, 565, 22138, 23706, 676, 1973, 1606, 31902, 10321, 267, 610, 8429, 540, 26728, 22138, 807, 5027, 689, 519, 8937, 883, 519, 1973, 540, 713, 5521, 643, 5387, 6177, 2249, 269, 630, 338, 1440, 5424, 2593, 994, 268, 1703, 616, 1082, 2010, 540, 26624, 1093, 343, 8290, 543, 789, 4043, 547, 581, 1808, 547, 1880, 2249, 540, 5017, 269, 630, 1506, 1467, 2593, 994, 268, 898, 568, 1459, 538, 936, 476, 1911, 6177, 2249, 5001, 269, 630, 323, 1392, 531, 1068, 6339, 1740, 3820, 994, 268, 4014, 595, 269, 630, 661, 269, 3738, 535, 542, 333, 639, 568, 835, 540, 1152, 513, 1507, 1297, 540, 5521, 2249, 21049, 547, 519, 3703, 1772, 956, 267, 922, 5726, 4567, 814, 2760, 1044, 11117, 269, 630, 338, 1440, 5424, 2593, 994, 268, 9521, 5017, 267, 11864, 543, 824, 1134, 8153, 2831, 267, 7786, 1419, 979, 31305, 267, 543, 972, 616, 7366, 540, 1007, 2249, 4330, 1142, 1032, 269, 630, 18556, 807, 12975, 994, 268, 20002, 10356, 538, 10125, 666, 581, 2523, 7925, 547, 12362, 2249, 269, 630, 325, 9749, 10993, 994, 268, 13823, 1027, 2249, 602, 10352, 593, 5017, 267, 971, 607, 14148, 267, 7314, 267, 543, 29372, 267, 610, 602, 14526, 609, 5017, 585, 21224, 4609, 543, 1426, 267, 971, 607, 5600, 590, 1706, 4900, 543, 10060, 13530, 267, 666, 1244, 816, 610, 1256, 9004, 5095, 269, 630, 325, 9749, 10993, 994, 268, 4197, 519, 3270, 540, 875, 1346, 15495, 616, 10299, 2066, 5095, 543, 1114, 2249, 540, 5017, 666, 948, 12260, 513, 1732, 1620, 540, 2068, 5322, 538, 519, 1604, 269, 630, 753, 335, 3820, 994, 268, 769, 835, 540, 519, 1034, 10565, 1806, 267, 26624, 26736, 7116, 1756, 15495, 5189, 676, 3425, 547, 14255, 25771, 557, 6177, 2950, 538, 16127, 6038, 3366, 547, 519, 14486, 540, 693, 2547, 476, 1015, 5065, 6177, 2249, 269, 630, 753, 335, 3820, 994, 268, 1284, 1188, 7322, 13922, 2104, 1382, 786, 6556, 811, 1344, 827, 519, 6152, 2249, 602, 10141, 519, 15495, 1063, 26624, 14747, 269, 630, 753, 335, 3820, 994, 268, 4197, 891, 6152, 2249, 568, 2565, 547, 1818, 2631, 540, 519, 1950, 7317, 1949, 5473, 3309, 5036, 540, 14747, 267, 15495, 543, 10321, 538, 713, 1604, 269, 630, 753, 335, 3820, 994, 268, 634, 1850, 1652, 16793, 2356, 2661, 538, 519, 3984, 781, 20097, 1141, 789, 3049, 593, 5214, 2339, 267, 1519, 28797, 543, 12015, 1973, 8774, 676, 8023, 4079, 2529, 727, 2249, 616, 10321, 540, 1480, 2068, 10175, 20575, 630, 962, 619, 27091, 11641, 529, 3738, 543, 9597, 710, 27193, 639, 630, 25599, 11089, 9332, 344, 12978, 15426, 630, 324, 565, 3820, 994, 268, 4256, 2702, 547, 3262, 513, 2039, 540, 3676, 568, 1946, 513, 2824, 2249 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9463, 500, 454, 825, 476, 29072, 8147, 421, 480, 352, 18263, 486, 26406, 354, 31284, 23521, 354, 16533, 365, 21251, 25263, 504, 19540, 491, 26033, 481, 420, 503, 495, 14395, 481, 29072, 264, 12486, 476, 26033, 490, 16583, 30936, 621, 1068, 8962, 2593, 321, 5209, 318, 5976, 23631, 10293, 4590, 825, 476, 10429, 479, 18777, 372, 12571, 490, 22047, 30317, 27381, 510, 420, 351, 360, 20881, 487, 418, 489, 358, 14035, 504, 418, 361, 350, 8147, 454, 825, 23288, 825, 585, 524, 538, 621, 1068, 8962, 2593, 321, 5209, 318, 5976, 23631, 10293, 263, 19477, 267, 476, 274, 2187, 1038, 1820, 6262, 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 ]
[ 0, 23737, 519, 1686, 540, 12925, 888, 2691, 543, 875, 729, 519, 2413, 2197, 540, 12925, 4646, 286, 1548, 1614, 6803, 2516, 941, 3769, 286, 1548, 2197, 610, 1895, 4646, 12925, 286, 1548, 729, 8345, 538, 12925, 1063, 1346, 1614, 6803, 2516, 888, 268, 561, 3369, 6011, 299, 341, 476, 8064, 1296, 3516, 293, 2948, 924, 8382, 454, 1432, 781, 1631, 12925, 538, 519, 1279, 11397, 3504, 2250, 729, 519, 476, 272, 560, 543, 7887, 1858, 540, 782, 1480, 10340, 476, 6110, 271, 6195, 268, 5611, 271, 6195, 269, 634, 1747, 540, 5681, 518, 267, 13019, 330, 611, 267, 7984, 267, 9040, 2643, 8205, 267, 28435, 6319, 269, 2986, 1576, 10340, 3262, 543, 824, 4025, 630, 292, 5118, 267, 10255, 3092, 4700, 2968, 811, 1271, 855, 519, 12925, 1858, 1869, 7283, 1271, 563, 1103, 519, 476, 7785, 781, 5084, 621, 543, 621, 781, 1390, 4872, 540, 20770, 543, 595, 652, 13023, 517, 630, 3697, 824, 2127, 264, 729, 3144, 936, 676, 519, 1287, 1007, 6259, 12356, 269, 769, 827, 476, 10384, 4696, 789, 1500, 519, 1007, 2749, 540, 20045, 24863, 611, 799, 729, 519, 1283, 1158, 2749, 676, 476, 8517, 4696, 269, 10251, 519, 2898, 12925, 1858, 630, 663, 9459, 1932, 264, 729, 3144, 676, 519, 32415, 5695, 802, 538, 519, 476, 12010, 781, 543, 1287, 10032, 538, 513, 21393, 676, 519, 15216, 11169, 538, 519, 476, 6344, 271, 781, 543, 1287, 1586, 538, 519, 476, 9610, 271, 781, 269, 634, 15216, 11169, 5828, 12925, 543, 9459, 883, 519, 9390, 5251, 649, 1869, 1294, 2221, 563, 5475, 519, 15216, 11169, 535, 12184, 2476, 630, 514, 519, 3735, 476, 9610, 271, 781, 264, 12925, 8120, 547, 4341, 676, 519, 16368, 5695, 802, 267, 945, 12199, 689, 519, 5449, 5259, 15798, 728, 2749, 540, 1412, 17746, 656, 514, 963, 3299, 1259, 1055, 593, 519, 6316, 540, 2342, 630, 339, 3736, 519, 15349, 3854, 540, 594, 30955, 1070, 789, 6976, 2370, 3007, 547, 1412, 9188, 1068, 262, 899, 12925, 610, 519, 1964, 540, 519, 631, 728, 770, 563, 1103, 13431, 296, 476, 4489, 275, 268, 4489, 279, 519, 16368, 12395, 7276, 729, 530, 21317, 856, 267, 519, 3703, 2921, 936, 563, 763, 3703, 1500, 519, 1699, 1412, 31766, 262, 540, 12925, 689, 5449, 16368, 8513, 538, 476, 4489, 280, 270, 4572, 271, 267, 1175, 5373, 3515, 593, 519, 4786, 563, 2467, 781, 1412, 275, 262, 1292, 6803, 2516, 538, 12925, 1862, 2467, 781, 519, 1412, 288, 571, 2125, 262, 945, 28953, 972, 476, 7785, 268, 12010, 4696, 630, 663, 930, 27502, 689, 16850, 12458, 4599, 807, 1070, 519, 15000, 689, 519, 3504, 840, 5336, 784, 565, 21393, 2551, 630, 10112, 344, 20379, 538, 519, 5087, 267, 30634, 1372, 534, 781, 538, 519, 4099, 1070, 543, 1412, 298, 584, 1091, 262, 538, 519, 32065, 630, 320, 1114, 1004, 945, 28953, 689, 7404, 918, 6324, 6017, 1916, 19322, 664, 538, 476, 4489, 280, 270, 4572, 271, 16668, 519, 6302, 540, 519, 2197, 538, 3703, 1719, 267, 543, 10923, 1719, 630, 1584, 1154, 519, 782, 1271, 570, 580, 5142, 270, 661, 25045, 6233, 5211, 14860, 538, 835, 2197, 1040, 634, 3703, 538, 519, 631, 728, 770, 941, 1034, 5432, 1394, 1287, 609, 519, 1412, 288, 4599, 262, 2551, 267, 865, 789, 2322, 538, 741, 5172, 1412, 293, 9820, 531, 262, 513, 4914, 518, 689, 17936, 607, 4622, 543, 1010, 1920, 270, 5480, 538, 1283, 7158, 585, 519, 1412, 288, 571, 2125, 8339, 4014, 674, 9820, 531, 1131, 2663, 581, 23689, 267, 2413, 12925, 1869, 15109, 3294, 606, 1412, 288, 4599, 262, 2197, 267, 4352, 17801, 1227, 2407, 1973, 539, 29240, 1152, 1118, 476, 272, 270, 274, 540, 519, 2551, 269, 0, 300, 1468, 281, 19162, 601, 267, 21567, 267, 4154, 267, 8988, 267, 7601, 454, 20007, 1664, 281, 6850, 14127, 267, 2377, 1601, 532, 267, 562, 328, 10314, 267, 31743, 267, 3443, 5995, 609, 513, 13549, 267, 23678, 1324, 267, 13504, 642, 7568, 880, 563, 7468, 514, 947, 9986, 8615, 12199, 918, 773, 7079, 15570, 267, 519, 1101, 6739, 17710, 7550, 8567, 1354, 519, 19097, 1143, 540, 15570, 269, 853, 269, 25905, 9986, 8615, 568, 9006, 23306, 607, 519, 19121, 612, 540, 11097, 3298, 543, 1007, 10271, 269, 27748, 1500, 676, 6850, 14127, 689, 7601, 581, 3663, 593, 519, 8274, 609, 519, 7766, 3109, 2287, 269, 9986, 8615, 568, 13269, 538, 519, 2757, 12835, 2762, 585, 782, 519, 25598, 3160, 547, 519, 19980, 956, 269, 634, 12835, 568, 513, 26841, 540, 519, 25905, 538, 519, 4622, 781, 9660, 269, 769, 1200, 1318, 1688, 1352, 6585, 513, 3444, 538, 1010, 2451, 1688, 513, 12572, 3239, 540, 519, 11454, 269, 634, 1318, 543, 2451, 540, 519, 4137, 568, 519, 30115, 834, 1492, 10513, 3160, 547, 519, 19980, 956, 25905, 9986, 8615, 257, 0, 297, 641, 11985, 4469, 1846, 4065, 4741, 20217, 12322, 543, 17408, 839, 547, 2263, 513, 4410, 5593, 641, 543, 519, 5836, 538, 835, 1554, 910, 621, 781, 519, 1655, 540, 1312, 10600, 256, 1284, 3513, 1376, 693, 7043, 590, 1343, 16047, 267, 1141, 649, 3513, 8495, 519, 20352, 20115, 585, 7286, 1272, 269, 634, 267, 649, 3513, 30382, 909, 6778, 3397, 3512, 16307, 267, 1141, 649, 3513, 1832, 606, 3750, 856, 585, 2371, 543, 2831, 2189, 547, 7823, 9249, 267, 543, 585, 2963, 540, 519, 22260, 602, 4988, 519, 1858, 5215, 540, 1296, 3516, 269, 1284, 9153, 513, 12899, 2736, 267, 986, 696, 528, 3406, 267, 543, 3756, 693, 519, 21895, 256, 634, 1079, 28902, 30382, 568, 513, 4999, 540, 9543, 543, 26815, 554, 11035, 14099, 269, 901, 568, 513, 1390, 7823, 585, 14987, 543, 568, 2407, 540, 2067, 1686, 1719, 585, 811, 4810, 554, 1731, 619, 563, 290, 727, 547, 7085, 623, 1180, 538, 4639, 1715, 12064, 585, 16702, 6339, 1154, 609, 7136, 10748, 889, 517, 808, 641, 11985, 4469, 1846, 4741, 1282, 4989, 28820, 566, 10432, 256, 898, 779, 16314, 3018, 267, 865, 1577, 781, 2212, 585, 519, 15113, 543, 519, 22153, 543, 519, 11432, 256, 7323, 23436, 543, 7323, 918, 1009, 523, 616, 4712, 585, 606, 856, 6361, 17469, 7045, 267, 543, 789, 723, 782, 519, 2361, 3937, 649, 3513, 991, 547, 979, 593, 513, 9910, 2389, 516, 330, 547, 2263, 930, 540, 938, 5172, 9249, 269, 2311, 7085, 623, 1180, 267, 649, 3513, 3142, 519, 11369, 1115, 267, 1085, 334, 3591, 267, 24437, 267, 9145, 8554, 267, 543, 10274, 547, 1294, 1018, 15195, 1272, 568, 5614, 532, 8521, 269, 2311, 681, 965, 28927, 3298, 267, 649, 3580, 1305, 3165, 20637, 543, 3406, 585, 6263, 25658, 543, 1085, 644, 267, 1287, 979, 593, 513, 6070, 22153, 25094, 10152, 6968, 269, 2353, 2326, 616, 3177, 267, 865, 2097, 593, 856, 543, 2743, 721, 585, 930, 1726, 802, 543, 18162, 2336, 1692, 1705, 15729, 7788, 1453, 1404, 267, 1451, 267, 10571, 543, 1589, 2429, 1686, 286, 6258, 519, 4267, 609, 2703, 550, 2558, 644, 328, 29106, 26152, 1282, 713, 782, 6502, 1920, 4663, 269, 7736, 707, 3643, 538, 519, 11314, 4741, 609, 3946, 6823, 1148, 3491, 915, 338, 543, 1404, 538, 513, 1483, 546, 800, 269, 5131, 585, 595, 4456, 2818, 610, 609, 7467, 16075, 269, 7454, 585, 6502, 476, 276, 266, 269, 1677, 11578, 267, 1289, 918, 1009, 523, 966, 9298, 563, 9596, 30951, 9238, 609, 11285, 19186, 2088, 14466, 3298, 269, 27837, 676, 519, 2027, 14266, 1133, 325, 13783, 2876, 1559, 281, 15729, 7788, 1354, 476, 5002, 271, 269, 3503, 707, 2012, 267, 946, 30951, 2645, 543, 4734, 609, 513, 7663, 16980, 547, 1491, 1753, 269, 901, 1920, 13186, 568, 5227, 585, 1453, 476, 278, 543, 909, 609, 606, 2937, 269, 32310, 2838, 563, 3963, 798, 649, 723, 12405, 286, 4208, 568, 621, 28555, 538, 4832, 543, 21617, 538, 5162, 286, 1548, 568, 2842, 286, 1215, 568, 621, 6027, 286, 1215, 798, 12269, 1106, 286, 7316, 798, 6777, 4148, 1389, 2097, 689, 543, 1946, 798, 789, 2887, 547, 3047, 286, 15012, 721, 585, 1187, 267, 7317, 1565, 2238, 547, 2626, 891, 2055, 827, 2842, 267, 4365, 267, 543, 6777, 269, 6258, 875, 547, 1118, 707, 1378, 4365, 642, 2033, 269, 2142, 513, 6777, 4148, 820, 11653, 630, 5976, 519, 948, 540, 21491, 6506, 543, 22153, 332, 718, 3298, 264, 543, 1491, 707, 17705, 4070, 1753, 2336, 4322, 476, 3445, 18826, 7886, 616, 585, 1312, 596, 543, 707, 3742, 9251, 518, 256, 3962, 3018, 267, 938, 11295, 2238, 786, 1331, 3312, 8964, 267, 3350, 267, 10565, 1404, 267, 1688, 6823, 2257, 267, 543, 513, 21044, 15165, 269, 1284, 3513, 2285, 596, 7801, 3817, 547, 1491, 1753, 543, 6266, 540, 1187, 2326, 3842, 606, 5907, 1434, 344, 9126, 1310, 1142, 1362, 269, 901, 8400, 786, 1445, 593, 519, 3168, 585, 4191, 540, 11354, 2336, 4131, 781, 8661, 5162, 607, 649, 1413, 693, 713, 4190, 4005, 998, 1650, 9248, 267, 1148, 267, 543, 2575, 269, 16661, 28498, 267, 649, 3513, 1491, 513, 8933, 728, 3802, 538, 808, 641, 11985, 4469, 1846, 262, 18147, 543, 1995, 519, 13792, 26274, 540, 519, 4005, 269, 13536, 649, 3513, 1711, 11247, 602, 19595, 721, 540, 519, 5162, 3675, 903, 649, 1336, 1927, 563, 1432, 3662, 4191, 1522, 596, 1294, 538, 519, 5162, 18137, 286, 1284, 3513, 2911, 827, 30392, 16493, 267, 1085, 520, 267, 562, 5792, 1000, 12127, 267, 17207, 267, 543, 824, 4191, 540, 2534, 269, 1411, 3513, 1265, 856, 875, 547, 3713, 519, 2450, 540, 606, 3662, 267, 519, 4287, 543, 3432, 540, 3350, 267, 543, 519, 2085, 540, 513, 3950, 267, 543, 649, 3513, 2285, 596, 707, 1378, 9477, 17927, 3391, 585, 707, 2104, 9035, 2336, 6826, 520, 519, 5162, 1025, 1695, 338, 1282, 1153, 2736, 256, 29100, 538, 585, 606, 5662, 610, 3251, 782, 1554, 267, 2901, 835, 610, 1312, 2395, 267, 585, 513, 16314, 10278, 602, 17015, 707, 8430, 269, 12160, 622, 538, 3368, 16923, 14245, 693, 476, 1556, 281, 876, 993, 610, 476, 272, 281, 876, 10681, 269, 1284, 3513, 1397, 596, 875, 547, 11100, 2257, 543, 1148, 1759, 593, 519, 1554, 781, 6249, 269, 898, 781, 1863, 32704, 1565, 585, 519, 2898, 1920, 269, 901, 16314, 3018, 8038, 676, 786, 1445, 593, 1272, 538, 519, 2620, 4262, 543, 519, 2027, 7068, 602, 2661, 972, 2336, 12441, 596, 917, 602, 519, 7599, 2879, 841, 3096, 922, 2234, 3121, 630, 320, 11469, 6438, 678, 553, 4771, 1418, 264, 547, 16004, 513, 1507, 8559, 538, 513, 804, 600, 7387, 543, 1287, 647, 4242, 856, 519, 17145, 540, 922, 6408, 286, 15012, 721, 547, 1451, 827, 519, 4241, 2729, 540, 2831, 540, 519, 694, 1662, 648, 543, 547, 3605, 519, 1007, 16782, 540, 3662, 16115, 602, 723, 18233, 909, 593, 519, 11824, 269, 7490, 10571, 585, 519, 4365, 269, 1280, 782, 6502, 269, 20780, 1216, 269, 6129, 31653, 568, 15695, 563, 306, 12944, 267, 4864, 476, 2420, 454, 306, 1495, 599, 267, 4864, 476, 2537, 454, 268, 722, 373, 3105, 454, 268, 476, 1015, 540, 476, 1015, 0, 268, 2073, 815, 639, 630, 299, 1040, 589, 24050, 454, 291, 5315, 540, 2262, 5072, 543, 9256, 3029, 1547, 18496, 808, 269, 16907, 2928, 269, 476, 1001, 274, 563, 16100, 693, 824, 21594, 912, 8266, 540, 5824, 1913, 609, 2296, 16755, 2443, 901, 568, 513, 1592, 540, 5824, 1913, 609, 16755, 538, 2296, 630, 663, 824, 2413, 4654, 1040, 9147, 9647, 2762, 1705, 711, 10646, 1063, 1775, 543, 795, 610, 1063, 579, 543, 642, 269, 3509, 2413, 1568, 10646, 579, 689, 642, 855, 711, 1775, 689, 795, 269, 769, 713, 2376, 1312, 2507, 2560, 9504, 454, 659, 969, 622, 2443, 1035, 969, 2299, 267, 1443, 269, 1315, 324, 7795, 1583, 337, 3857, 267, 642, 599, 339, 267, 607, 552, 7795, 337, 642, 599, 339, 1315, 267, 7755, 269, 15636, 1421, 3733, 3712, 269, 17640, 547, 2208, 267, 17611, 269, 540, 13271, 267, 602, 3029, 513, 10053, 267, 646, 9464, 909, 2527, 269, 1496, 7277, 271, 476, 2004, 282, 2999, 700, 1035, 969, 9850, 646, 9464, 909, 630, 696, 335, 269, 540, 1035, 969, 732, 1070, 1226, 643, 269, 547, 1035, 969, 263, 639, 264, 24050, 1341, 693, 639, 11083, 292, 272, 316, 2608, 2608, 2608, 2560, 17629, 1756, 454, 659, 969, 15252, 2443, 1315, 324, 7795, 1583, 337, 642, 6614, 7795, 682, 7795, 338, 32551, 562, 1421, 726, 269, 1035, 969, 25625, 1315, 561, 8500, 1315, 269, 3733, 3712, 269, 630, 514, 1978, 13271, 264, 606, 513, 25757, 2927, 1746, 1560, 9967, 540, 513, 1319, 540, 1728, 874, 2801, 602, 2285, 4473, 547, 2110, 31537, 539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3399, 1603, 519, 1543, 2047, 269, 0, 898, 729, 513, 6505, 543, 13566, 1554, 950, 5484, 543, 1010, 2915, 7665, 4682, 547, 519, 6288, 547, 1404, 2575, 269, 5484, 6068, 4730, 1010, 13176, 543, 13465, 8964, 676, 1010, 5172, 6512, 267, 634, 23663, 269, 1306, 646, 1193, 636, 4364, 2476, 267, 7665, 3323, 13626, 532, 2059, 547, 519, 10726, 780, 306, 19488, 267, 5484, 8068, 513, 1895, 540, 3214, 10356, 1472, 873, 267, 8049, 827, 519, 2575, 269, 2290, 1126, 4280, 267, 834, 1432, 2186, 540, 2575, 568, 602, 8119, 6969, 5484, 1223, 4431, 267, 1776, 4819, 16403, 539, 538, 267, 834, 2005, 4992, 899, 1412, 2908, 5951, 256, 262, 594, 4121, 827, 621, 538, 1153, 15323, 13051, 729, 14281, 543, 9599, 269, 1261, 4769, 1405, 917, 602, 519, 6952, 344, 26107, 646, 10150, 6947, 547, 1185, 513, 2027, 2012, 543, 1686, 269, 1261, 4280, 519, 3214, 267, 834, 1432, 2306, 1412, 2908, 5951, 262, 1114, 689, 824, 2010, 540, 2575, 12482, 3080, 540, 519, 4587, 3214, 6045, 267, 834, 11039, 267, 1412, 2908, 5951, 262, 13164, 899, 634, 23663, 267, 2349, 1180, 773, 267, 543, 634, 17318, 1031, 5907, 7405, 267, 13754, 9088, 267, 543, 14941, 6191, 547, 1711, 2189, 4992, 269, 1358, 849, 11368, 7544, 15129, 18819, 543, 5249, 609, 811, 25509, 2504, 3010, 2026, 789, 4797, 6158, 267, 5484, 7691, 875, 1454, 2257, 5129, 513, 1909, 538, 2870, 2575, 269, 3245, 519, 1259, 3280, 6329, 14612, 998, 2011, 547, 3914, 19700, 262, 10772, 267, 547, 519, 5122, 6786, 2366, 1063, 11409, 538, 938, 12058, 1247, 649, 6432, 543, 2972, 2575, 269, 4634, 519, 2029, 1031, 538, 10916, 801, 3930, 543, 7574, 3937, 16941, 593, 3621, 3741, 2439, 9617, 1287, 267, 513, 31830, 540, 2842, 6926, 342, 998, 519, 6288, 267, 22502, 6656, 2575, 10876, 269, 15526, 32357, 547, 5531, 519, 4574, 267, 855, 789, 7948, 1405, 1265, 782, 540, 873, 269, 5484, 521, 19042, 543, 1767, 267, 834, 296, 7058, 649, 666, 1869, 1118, 2575, 1510, 519, 9212, 267, 1318, 286, 1284, 666, 27906, 1047, 10590, 1656, 865, 789, 1705, 267, 19234, 609, 1114, 23964, 543, 11745, 625, 1759, 593, 1018, 789, 15422, 780, 1103, 519, 1439, 267, 5484, 4362, 1945, 6397, 910, 3006, 7687, 610, 7508, 4773, 666, 1291, 547, 1007, 13144, 543, 10124, 538, 1312, 1148, 543, 2257, 269, 901, 20185, 2451, 1864, 11235, 547, 2263, 811, 11964, 267, 1451, 811, 827, 519, 2257, 3297, 2575, 267, 543, 3136, 4687, 1010, 6612, 609, 1866, 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, 9223, 281, 3367, 519, 1739, 5037, 543, 1349, 519, 2626, 585, 519, 2243, 281, 1548, 941, 519, 4408, 540, 519, 13164, 945, 941, 4481, 11280, 834, 2908, 5951, 22172, 476, 769, 476, 3192, 277, 1765, 14140, 538, 5507, 267, 1287, 538, 519, 2136, 2276, 1765, 257, 6124, 23027, 257, 729, 5189, 607, 513, 14911, 6003, 585, 519, 24233, 10207, 543, 2516, 849, 1634, 607, 834, 335, 6064, 21968, 519, 1079, 2474, 941, 9247, 20049, 762, 269, 715, 10933, 19784, 20858, 29336, 568, 20295, 609, 3981, 532, 519, 2165, 781, 946, 630, 611, 641, 1540, 689, 519, 14557, 26517, 3943, 1715, 23027, 540, 519, 476, 3422, 271, 338, 264, 538, 713, 2796, 269, 3683, 942, 267, 834, 2908, 5951, 257, 9715, 513, 3982, 2495, 281, 13164, 971, 607, 2349, 1180, 773, 543, 32695, 1261, 6758, 689, 519, 25553, 16412, 6429, 282, 519, 23663, 267, 945, 7153, 689, 519, 13158, 538, 11785, 282, 519, 3619, 268, 7883, 781, 538, 11968, 13353, 282, 543, 519, 17318, 538, 5507, 602, 941, 3376, 2287, 741, 15747, 29984, 267, 6220, 7544, 15129, 18819, 267, 543, 2324, 609, 811, 25509, 2504, 941, 4481, 11280, 834, 2908, 5951, 257, 543, 1100, 3476, 1572, 834, 335, 6064, 2668, 25272, 5487, 532, 5267, 602, 930, 5309, 330, 268, 30009, 3703, 6411, 22002, 519, 1007, 5951, 2978, 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, 670, 10248, 281, 10289, 570, 4689, 681, 754, 1359, 543, 7956, 675, 538, 6755, 4290, 14301, 692, 296, 269, 4985, 692, 2026, 5159, 267, 938, 1391, 585, 2870, 11617, 9159, 543, 859, 25607, 11247, 1419, 5012, 721, 1524, 513, 2619, 540, 6602, 267, 1141, 28798, 938, 4739, 3340, 3586, 17634, 267, 2259, 267, 543, 7811, 27733, 269, 2290, 971, 13654, 4480, 602, 814, 11542, 519, 1449, 540, 942, 568, 554, 10248, 1107, 513, 1505, 540, 17021, 3159, 543, 9403, 1210, 5702, 22274, 6252, 3515, 269, 9457, 344, 540, 554, 10248, 2636, 1148, 1053, 547, 21592, 741, 15513, 12400, 3564, 6071, 1899, 11269, 267, 1102, 6748, 873, 609, 4320, 267, 1106, 267, 543, 5790, 269, 3414, 513, 3126, 540, 11636, 5751, 543, 16367, 5717, 267, 713, 1576, 1770, 12538, 883, 519, 16082, 540, 554, 10248, 267, 7175, 596, 547, 11753, 713, 11684, 4480, 883, 707, 1378, 27132, 780, 2862, 269, 4197, 670, 10248, 281, 7869, 543, 13335, 692, 4263, 922, 4295, 267, 554, 10248, 3322, 5373, 2789, 5036, 540, 6252, 3515, 267, 11231, 538, 2673, 16133, 547, 835, 1776, 269, 1635, 8795, 2188, 971, 607, 5086, 267, 5860, 267, 2604, 267, 543, 3845, 1063, 3515, 267, 5159, 666, 13861, 1769, 267, 14692, 267, 543, 9403, 1369, 741, 15885, 269, 1306, 513, 1267, 267, 554, 10248, 5713, 607, 606, 1898, 1907, 585, 8236, 512, 4689, 8390, 543, 23187, 28241, 17915, 998, 27948, 2923, 269, 5047, 267, 950, 13401, 5578, 2685, 267, 554, 10248, 561, 1742, 22122, 543, 3308, 10103, 547, 6537, 2609, 1247, 7393, 2949, 12716, 9029, 780, 7656, 269, 26386, 540, 670, 10248, 281, 27449, 543, 25670, 692, 6524, 25054, 593, 811, 1950, 3156, 540, 554, 10248, 267, 1577, 721, 1101, 3715, 513, 4396, 9787, 540, 922, 5817, 3741, 269, 5565, 3119, 9270, 950, 14139, 554, 10248, 616, 5086, 543, 5860, 269, 28294, 6819, 891, 4632, 6087, 5159, 547, 3132, 11029, 10593, 538, 1871, 267, 7551, 14335, 1614, 8820, 1106, 543, 31552, 8901, 3347, 780, 288, 269, 7412, 24234, 454, 763, 10066, 540, 11058, 3481, 3515, 3648, 5222, 519, 9228, 9403, 543, 24788, 13920, 540, 13269, 7252, 269, 13575, 6340, 267, 19794, 20218, 3515, 2303, 5347, 1145, 543, 1256, 26149, 267, 6466, 25241, 958, 13988, 7436, 6655, 13193, 326, 615, 267, 19514, 569, 1396, 5396, 269, 5015, 267, 20367, 519, 4287, 1275, 540, 554, 10248, 3270, 791, 11301, 513, 2631, 540, 3350, 543, 3846, 1143, 267, 14219, 1508, 532, 6382, 11979, 11052, 269, 1677, 3927, 8415, 2587, 1194, 554, 10248, 267, 3635, 24787, 538, 8939, 3617, 8482, 31223, 1759, 593, 13865, 10291, 1459, 1369, 707, 5888, 780, 289, 269, 25670, 454, 3519, 9690, 569, 14577, 519, 5860, 540, 554, 10248, 14998, 5386, 1852, 936, 512, 4689, 5552, 566, 267, 3850, 585, 15774, 13289, 1063, 8711, 267, 4571, 2023, 525, 267, 543, 20224, 269, 15439, 2322, 267, 16437, 518, 12417, 540, 3515, 6556, 18632, 2418, 1813, 547, 2799, 27948, 5834, 829, 1770, 1858, 269, 17957, 267, 29101, 14095, 18116, 5330, 547, 14402, 18565, 267, 4611, 538, 2362, 2992, 766, 543, 7805, 21386, 269, 898, 568, 2629, 547, 4063, 602, 4509, 5812, 2604, 543, 7833, 1899, 8700, 2429, 519, 554, 10248, 1184, 16881, 23704, 13289, 2066, 11105, 512, 4689, 4525, 780, 4353, 269, 16242, 543, 1975, 5217, 281, 11628, 670, 10248, 9828, 692, 1103, 1840, 547, 5086, 543, 5860, 25244, 267, 9952, 9439, 949, 2417, 4228, 741, 3860, 7399, 998, 4140, 5534, 12879, 540, 2604, 543, 19437, 6724, 269, 1452, 4359, 4485, 5512, 5159, 547, 24808, 10347, 7648, 538, 2627, 2298, 267, 18082, 3309, 2326, 267, 543, 6338, 6422, 1648, 883, 741, 32262, 780, 288, 269, 966, 776, 532, 7412, 13379, 454, 28274, 4756, 2604, 2059, 1367, 554, 10248, 18116, 12958, 21783, 1899, 12035, 267, 10962, 513, 15398, 1377, 540, 30483, 547, 21235, 3029, 269, 774, 1157, 518, 3515, 13883, 1369, 5031, 6302, 7930, 27298, 538, 2450, 2390, 21986, 532, 24482, 18632, 512, 4689, 10851, 269, 901, 1198, 711, 1152, 7586, 5809, 519, 21903, 540, 1614, 8820, 2230, 855, 849, 8309, 547, 8476, 3308, 1719, 543, 6988, 269, 3958, 267, 21825, 11766, 532, 17804, 1899, 11098, 525, 10240, 9094, 7293, 8699, 267, 5587, 4328, 21712, 3347, 1851, 25499, 3334, 540, 6946, 10207, 780, 289, 269, 9061, 6953, 10248, 454, 11328, 933, 3058, 9647, 690, 517, 958, 26356, 5036, 540, 554, 10248, 3515, 1266, 11367, 3444, 268, 1002, 4221, 267, 513, 14984, 4480, 5827, 540, 6721, 3638, 267, 6063, 557, 1399, 17051, 543, 26546, 267, 17285, 1352, 839, 4470, 593, 3498, 269, 1879, 20718, 15654, 6106, 267, 2327, 7850, 9668, 1063, 12969, 532, 2798, 547, 2061, 7050, 27948, 13250, 267, 799, 1223, 1291, 547, 13311, 1159, 644, 3101, 610, 16471, 269, 9061, 268, 1002, 3481, 3889, 2709, 26080, 8112, 538, 18995, 20310, 5958, 18282, 267, 25509, 4496, 7252, 267, 543, 11626, 5380, 267, 1818, 873, 16832, 7221, 538, 1022, 7376, 781, 19070, 531, 780, 309, 269, 23889, 670, 10248, 609, 7388, 29232, 10613, 692, 4407, 554, 10248, 13054, 513, 3532, 1796, 29671, 4480, 267, 10128, 621, 7258, 14911, 2994, 11729, 1256, 811, 8903, 2164, 269, 1280, 3236, 267, 9256, 554, 10248, 609, 588, 2089, 1782, 630, 1492, 13307, 540, 15768, 15956, 264, 610, 1085, 22824, 630, 2675, 745, 25290, 2571, 267, 2427, 3772, 20517, 264, 11942, 2189, 1257, 1116, 10659, 267, 9750, 2099, 1049, 7207, 3564, 2757, 7687, 269, 15331, 532, 609, 10316, 1242, 30582, 7512, 5647, 543, 8992, 2930, 2208, 267, 6038, 16779, 5159, 547, 16637, 30031, 14908, 543, 5750, 1007, 11182, 538, 4207, 8642, 4082, 780, 9654, 269, 10390, 692, 7437, 30190, 1353, 543, 6131, 2259, 267, 14971, 8908, 4944, 619, 976, 666, 12260, 519, 2407, 1761, 540, 554, 10248, 267, 13321, 1395, 29614, 1738, 25780, 883, 4628, 15123, 1117, 13050, 12383, 31523, 609, 21755, 543, 3178, 269, 16871, 713, 15851, 4480, 28382, 596, 609, 7347, 2645, 585, 21365, 606, 5044, 540, 7499, 2591, 267, 4412, 2454, 707, 3460, 2509, 17117, 543, 1582, 22523, 269, 1924, 14679, 8521, 267, 11439, 609, 9241, 9715, 1702, 267, 543, 4585, 607, 707, 13144, 5614, 547, 1272, 896, 519, 9543, 1309, 816, 540, 27948, 543, 1957, 267, 22090, 27128, 8941, 540, 5898, 267, 7553, 267, 543, 4898, 618, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13981, 875, 547, 2721, 513, 9224, 666, 581, 606, 3078, 543, 14785, 1995, 267, 2436, 596, 2461, 513, 19444, 610, 3168, 547, 13217, 707, 7499, 1983, 269, 589, 9224, 568, 513, 10747, 4183, 540, 519, 1480, 3068, 267, 543, 13215, 922, 1585, 3029, 666, 7494, 3986, 707, 2702, 547, 1711, 10853, 543, 22192, 23609, 269, 769, 713, 3102, 3391, 267, 649, 3580, 2263, 513, 3099, 540, 9224, 1673, 3863, 532, 2553, 267, 689, 2241, 543, 20419, 880, 547, 6946, 543, 3076, 601, 833, 563, 1692, 547, 8571, 513, 715, 846, 281, 634, 17943, 454, 19352, 532, 513, 9224, 1522, 3100, 25254, 267, 855, 609, 519, 1318, 1935, 267, 621, 3587, 606, 24276, 4305, 269, 2913, 779, 1376, 609, 519, 4909, 3268, 585, 5373, 513, 2596, 9224, 912, 3721, 476, 272, 281, 9978, 23426, 454, 24375, 676, 11516, 4221, 513, 2596, 6906, 3337, 269, 901, 786, 4196, 607, 519, 5748, 585, 707, 9224, 563, 3721, 476, 273, 281, 15167, 543, 715, 739, 337, 2812, 454, 15761, 754, 3515, 689, 519, 1283, 15174, 540, 519, 6906, 547, 1711, 519, 8115, 540, 519, 9224, 269, 3973, 267, 1039, 519, 19911, 337, 2812, 676, 5373, 1079, 17208, 5546, 693, 519, 5377, 540, 519, 6906, 563, 3721, 476, 274, 281, 4045, 532, 519, 15689, 454, 21010, 519, 8115, 543, 19911, 686, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 299, 1075, 4068, 20710, 2471, 267, 519, 3993, 540, 19416, 3540, 2924, 12835, 25007, 20710, 2471, 267, 5747, 693, 519, 2085, 540, 476, 10436, 713, 3018, 454, 2691, 21919, 8403, 20831, 1500, 1686, 676, 4742, 519, 1101, 4807, 11221, 607, 21470, 5518, 2443, 543, 849, 519, 1101, 4563, 1268, 543, 1101, 3162, 7489, 1268, 2443, 538, 519, 2136, 2276, 267, 513, 22374, 9412, 6202, 7206, 18995, 513, 1762, 8004, 6972, 10838, 7980, 4358, 1818, 513, 31272, 30970, 593, 1514, 2923, 269, 769, 930, 540, 519, 2592, 267, 20831, 729, 2706, 574, 12723, 593, 519, 7206, 6972, 7258, 519, 1126, 269, 769, 1866, 267, 621, 729, 1031, 607, 513, 14165, 547, 1397, 519, 3356, 602, 2021, 723, 1500, 936, 942, 269, 1280, 1346, 945, 1810, 1406, 917, 519, 1686, 3297, 519, 32154, 960, 540, 1148, 267, 519, 8004, 538, 519, 7206, 568, 25007, 20710, 2471, 267, 513, 3540, 2924, 19191, 945, 693, 519, 2085, 540, 3670, 267, 15336, 2250, 513, 15624, 540, 8322, 1235, 543, 883, 606, 782, 22554, 1153, 538, 1715, 20252, 267, 4742, 519, 1101, 4563, 2875, 547, 7390, 269, 901, 3018, 267, 12359, 4068, 20710, 2471, 267, 519, 3993, 3297, 519, 1686, 6194, 23972, 267, 5747, 693, 519, 2085, 540, 476, 10436, 563, 305, 889, 344, 20710, 2471, 267, 476, 5780, 267, 9307, 1200, 3993, 779, 2669, 593, 13638, 10543, 3842, 17749, 563, 2108, 9213, 938, 2197, 4503, 513, 5869, 269, 4858, 557, 267, 11636, 267, 513, 22299, 585, 1689, 269, 2701, 5280, 7369, 519, 1576, 540, 865, 1082, 2729, 676, 4259, 803, 856, 593, 1250, 2619, 607, 513, 3670, 1032, 2025, 2370, 8004, 269, 3776, 4182, 4503, 513, 12624, 540, 519, 6406, 7126, 11873, 2221, 269, 1656, 594, 4503, 1250, 3158, 269, 594, 2648, 596, 543, 993, 18507, 585, 596, 269, 2904, 596, 10163, 769, 13458, 2223, 1352, 5206, 563, 763, 6673, 5312, 1194, 519, 1686, 540, 519, 3735, 20710, 2471, 685, 1272, 269, 2701, 5795, 4332, 547, 1200, 8250, 538, 570, 2643, 1068, 1144, 267, 14967, 267, 538, 476, 4198, 275, 2443, 519, 1482, 1032, 7292, 17478, 20248, 8694, 538, 1153, 609, 519, 19506, 9466, 5288, 269, 519, 8274, 540, 4065, 540, 570, 2100, 6390, 267, 17857, 563, 305, 889, 344, 20295, 1200, 3237, 585, 1200, 1909, 607, 513, 3540, 2924, 12835, 267, 607, 789, 941, 3297, 519, 3375, 547, 6494, 1200, 547, 513, 5892, 782, 22554, 1153, 269, 968, 7069, 3237, 616, 519, 1483, 12325, 2223, 1352, 729, 20926, 607, 6031, 676, 519, 772, 2529, 269, 15794, 1023, 6796, 269, 968, 5445, 630, 338, 550, 803, 547, 602, 1857, 1153, 264, 1317, 789, 5433, 621, 729, 519, 1318, 3364, 547, 798, 3034, 10527, 9046, 1284, 2353, 14970, 2060, 892, 8694, 909, 1373, 835, 540, 9412, 6202, 779, 1034, 4583, 1568, 540, 1148, 267, 18995, 1762, 25007, 1373, 6870, 676, 772, 2529, 269, 15794, 1023, 607, 1352, 15336, 883, 519, 1153, 563, 9802, 528, 5487, 307, 30377, 22616, 22641, 1500, 513, 3948, 13638, 3781, 26621, 12359, 4068, 563, 2108, 9213, 649, 22378, 333, 519, 2530, 540, 835, 540, 519, 11299, 540, 519, 6406, 7126, 11873, 538, 1715, 20252, 609, 519, 8429, 540, 12359, 4068, 20710, 2471, 2443, 3993, 540, 2947, 267, 1519, 25007, 20710, 2471, 269, 2904, 1352, 1964, 538, 2696, 779, 3501, 4708, 2223, 1352, 1767, 563, 290, 656, 22641, 849, 6045, 602, 1247, 25007, 779, 4651, 267, 589, 2548, 267, 729, 11688, 26938, 547, 6494, 1010, 8250, 547, 519, 782, 22554, 5261, 2605, 656, 345, 16504, 3427, 267, 855, 621, 729, 1010, 7385, 945, 29739, 269, 4340, 547, 519, 2817, 6468, 779, 3778, 7467, 267, 12359, 4068, 20710, 2471, 729, 5462, 585, 1200, 8250, 547, 4309, 519, 2069, 1352, 7012, 1406, 2111, 547, 543, 1256, 15336, 1200, 547, 1153, 1169, 1554, 563, 2108, 299, 1075, 4068, 779, 4222, 729, 30898, 15903, 1282, 713, 1974, 2223, 22616, 22641, 4797, 269, 968, 299, 1075, 4068, 29739, 267, 7487, 519, 2962, 607, 606, 4316, 547, 948, 782, 4563, 1453, 267, 543, 15336, 25007, 267, 609, 5313, 22153, 1023, 267, 2250, 669, 13589, 543, 512, 17481, 3043, 1486, 22246, 543, 547, 519, 1153, 5264, 269, 12624, 543, 8250, 1312, 7000, 741, 1915, 543, 10100, 3034, 763, 1715, 20252, 3427, 10588, 849, 1500, 513, 3001, 3948, 269, 968, 4002, 15773, 540, 1715, 20252, 5398, 12140, 267, 649, 8831, 938, 2094, 6135, 7873, 565, 1878, 547, 25007, 20710, 2471, 593, 519, 8429, 540, 1200, 3993, 267, 12359, 4068, 20710, 2471, 2223, 789, 5206, 269, 968, 2171, 666, 1152, 4952, 519, 4222, 267, 10100, 267, 543, 8990, 602, 621, 3576, 585, 15516, 269, 12359, 4068, 20710, 2471, 547, 1450, 1200, 8250, 547, 22036, 519, 512, 13550, 338, 543, 824, 7215, 540, 23998, 1352, 4810, 267, 607, 1352, 8179, 547, 581, 519, 1101, 3109, 1126, 547, 964, 1122, 26021, 5261, 2605, 656, 345, 16504, 3427, 269, 1306, 649, 1935, 519, 476, 2568, 628, 7788, 15208, 540, 602, 12556, 995, 1554, 267, 649, 9684, 1312, 12359, 4068, 543, 25007, 20710, 2471, 585, 6679, 519, 7450, 865, 602, 1866, 1223, 1246, 543, 723, 811, 3255, 602, 1131, 723, 711, 1044, 2009, 269, 1306, 649, 723, 7391, 543, 2621, 713, 3018, 1472, 519, 964, 1122, 12198, 540, 3506, 267, 594, 2307, 602, 649, 849, 1832, 25007, 20710, 2471, 538, 938, 4555, 543, 19001, 3034, 288, 28094, 3239, 540, 28266, 20088, 267, 25007, 20710, 2471, 267, 543, 21919, 8403, 20831, 4682, 10194, 713, 3018, 269, 968, 305, 6242, 2893, 267, 865, 25007, 1223, 3802, 267, 865, 21919, 8403, 1223, 2196, 2223, 621, 729, 1309, 1632, 539, 563, 1607, 2376, 729, 8385, 3370, 593, 0, 2791, 786, 991, 454, 268, 10750, 5958, 610, 2025, 7802, 454, 268, 23805, 5078, 585, 5969, 5958, 454, 268, 1279, 4773, 540, 18052, 610, 5569, 454, 268, 5958, 23445, 630, 28436, 994, 268, 5958, 15441, 630, 28436, 994, 268, 22927, 19271, 543, 8142, 630, 28436, 994, 6524, 596, 2253, 454, 268, 589, 1906, 4374, 1354, 4881, 713, 2534, 267, 2707, 930, 10750, 5958, 610, 2025, 7802, 602, 666, 581, 2759, 909, 543, 1031, 269, 1411, 1522, 1616, 547, 1152, 4584, 2699, 267, 3043, 543, 4544, 17234, 547, 2099, 519, 5742, 25035, 267, 610, 596, 1223, 3442, 513, 7848, 540, 15437, 269, 1411, 1223, 849, 2307, 3025, 547, 3142, 538, 606, 6221, 789, 616, 6126, 547, 2759, 909, 543, 1118, 883, 1207, 660, 532, 563, 268, 1879, 4881, 519, 2534, 1305, 909, 2614, 7515, 543, 23107, 585, 3025, 547, 1694, 693, 267, 543, 1747, 519, 5958, 543, 824, 3937, 593, 519, 7515, 563, 268, 1403, 2877, 267, 840, 24408, 519, 5958, 883, 12730, 1354, 519, 2534, 269, 1411, 1223, 946, 513, 21312, 10959, 547, 2759, 1472, 952, 596, 1616, 519, 1207, 660, 532, 547, 782, 581, 519, 1482, 2450, 563, 268, 15526, 1058, 10004, 827, 519, 10348, 779, 1773, 11294, 636, 808, 889, 850, 324, 269, 13185, 827, 1946, 649, 616, 1818, 1207, 660, 532, 543, 1141, 621, 1223, 581, 2322, 909, 563, 268, 15526, 1058, 1491, 513, 4062, 540, 5958, 543, 2759, 621, 883, 513, 1804, 6906, 3337, 269, 6333, 1210, 21312, 17074, 610, 3246, 7403, 585, 3025, 547, 1246, 547, 1118, 519, 1207, 660, 532, 519, 1482, 2450, 563, 268, 15526, 1058, 30164, 741, 6906, 267, 18413, 621, 856, 609, 519, 11097, 652, 851, 540, 519, 6906, 693, 519, 1283, 269, 1411, 1223, 2721, 6272, 593, 609, 5958, 23445, 267, 2759, 909, 543, 15441, 593, 22302, 5958, 267, 18055, 593, 3606, 26955, 14585, 267, 610, 4734, 519, 6906, 10750, 269, 15526, 1058, 4734, 513, 1079, 7266, 22015, 516, 7934, 693, 519, 1283, 3768, 1815, 528, 730, 267, 865, 621, 666, 13793, 909, 563, 268, 1879, 2576, 26088, 741, 6906, 267, 789, 1058, 8936, 621, 547, 513, 1279, 4062, 540, 18052, 610, 5569, 267, 6028, 513, 7934, 1063, 519, 12730, 563, 268, 13689, 593, 875, 1454, 1207, 660, 532, 596, 1131, 899, 267, 2285, 3025, 519, 4316, 547, 30164, 2789, 12730, 543, 2322, 873, 593, 519, 18052, 563, 268, 1879, 3025, 568, 8737, 596, 1223, 13793, 909, 519, 1207, 660, 532, 543, 30164, 707, 5870, 1747, 267, 610, 4688, 621, 585, 707, 808, 889, 850, 324, 11812, 2663, 563, 1607, 2534, 729, 827, 3843, 1007, 1919, 543, 3384, 1983, 269, 15526, 1705, 513, 1390, 2816, 540, 1373, 3860, 543, 4543, 547, 5965, 585, 519, 795, 889, 850, 324, 16873, 269, 1548, 16873, 666, 596, 3314, 1141, 972, 729, 1207, 660, 532, 286, 1215, 798, 596, 1589, 519, 1207, 660, 532, 5280, 1004, 1282, 1346, 16873, 286, 6056, 827, 875, 3025, 5249, 1927, 547, 1711, 519, 1207, 660, 532, 543, 2322, 621, 909, 267, 543, 1589, 827, 1018, 621, 4564, 269, 1215, 1705, 596, 30164, 707, 1207, 660, 532, 1107, 1705, 596, 798, 519, 1482, 4605, 593, 1142, 6906, 596, 21243, 267, 610, 1705, 596, 798, 1945, 1114, 286, 1215, 1705, 621, 1118, 596, 1745, 950, 621, 729, 782, 8737, 543, 16304, 909, 888, 21841, 341, 1047, 1762, 1004, 14013, 950, 789, 2461, 1210, 23805, 269, 15188, 782, 8325, 3615, 18172, 267, 856, 540, 519, 3914, 540, 1762, 1004, 563, 268, 3794, 826, 543, 30177, 454, 21841, 341, 1047, 1762, 1004, 14013, 950, 789, 2461, 1210, 15441, 543, 19857, 2472, 269, 5269, 2386, 972, 779, 7899, 540, 14910, 269, 2142, 3222, 540, 1022, 2564, 2175, 799, 1223, 581, 4299, 676, 15441, 610, 19857, 946, 543, 1118, 11941, 607, 2877, 269, 0, 29730, 11364, 281, 634, 8125, 550, 918, 14525, 454, 288, 5619, 5342, 676, 519, 4741, 585, 8376, 6513, 1336, 602, 950, 968, 611, 3286, 539, 585, 2085, 267, 519, 476, 1001, 278, 268, 1001, 279, 13119, 9860, 1851, 4079, 9907, 476, 1240, 543, 936, 729, 476, 3393, 269, 275, 260, 892, 272, 269, 634, 5619, 7074, 602, 13119, 2799, 609, 2085, 267, 543, 729, 2362, 538, 2367, 543, 1851, 1875, 6953, 529, 13732, 3109, 982, 1875, 6953, 529, 13732, 3043, 610, 17104, 563, 1103, 513, 476, 1001, 280, 15509, 5619, 267, 621, 729, 11943, 602, 811, 982, 3368, 513, 2929, 7972, 538, 519, 2136, 2276, 1185, 13119, 607, 513, 3119, 610, 7700, 2014, 269, 27819, 3368, 540, 4079, 538, 519, 2136, 2276, 630, 5325, 9077, 610, 476, 14138, 2929, 264, 723, 13119, 267, 3989, 607, 513, 30918, 4301, 1973, 2604, 3152, 982, 476, 9873, 6515, 32074, 610, 1019, 770, 4301, 1973, 2604, 3152, 982, 476, 3199, 6515, 32074, 610, 616, 2921, 6646, 585, 13119, 269, 1656, 1152, 827, 476, 272, 538, 476, 275, 4079, 630, 2190, 8472, 609, 13119, 723, 741, 2783, 896, 1852, 563, 6097, 547, 519, 1977, 9839, 5948, 267, 13119, 568, 19040, 883, 476, 274, 6688, 281, 15214, 11364, 630, 25111, 476, 272, 1070, 15214, 11364, 630, 25111, 476, 273, 1070, 543, 513, 5754, 13630, 2400, 19822, 273, 269, 1403, 2451, 15860, 267, 29252, 13119, 666, 1291, 547, 1072, 2175, 971, 607, 513, 2295, 4323, 267, 8482, 267, 5075, 2530, 267, 10894, 2152, 267, 543, 2530, 540, 8459, 1599, 543, 666, 1764, 606, 1367, 779, 2949, 5042, 1599, 269, 634, 29252, 12503, 1267, 538, 519, 5394, 2287, 540, 15466, 6821, 630, 7752, 29912, 264, 799, 1831, 1447, 13412, 269, 3958, 267, 13119, 666, 1711, 18604, 2127, 538, 519, 15466, 6821, 1572, 31729, 916, 274, 563, 5472, 540, 519, 5892, 5018, 11528, 2360, 616, 1287, 31903, 676, 519, 2295, 781, 991, 547, 6802, 9875, 547, 7753, 519, 2479, 2987, 920, 2084, 12503, 538, 519, 1560, 779, 15466, 1062, 267, 4929, 519, 4887, 538, 519, 3774, 540, 519, 2295, 547, 5394, 523, 630, 29381, 20764, 14152, 5754, 13630, 15577, 1040, 901, 5394, 2287, 540, 519, 5887, 14152, 3774, 5932, 2943, 1776, 28772, 11043, 14524, 4611, 538, 606, 17418, 547, 3927, 3761, 1973, 547, 782, 519, 2127, 540, 519, 1560, 630, 29587, 23299, 1916, 4462, 25049, 13119, 666, 1020, 883, 513, 3500, 543, 1202, 573, 1190, 5858, 540, 2014, 543, 1198, 4611, 538, 1279, 3856, 1072, 2152, 269, 1635, 4749, 5464, 707, 1973, 2604, 267, 596, 666, 960, 609, 707, 3782, 8502, 547, 1832, 707, 1973, 2604, 6417, 609, 2732, 267, 3635, 267, 6197, 2242, 267, 543, 14013, 11311, 6527, 563, 268, 744, 560, 3832, 8615, 267, 674, 787, 541, 267, 715, 342, 1678, 6851, 1299, 715, 7666, 344, 523, 269, 630, 1708, 271, 1040, 15214, 11364, 2776, 28700, 7324, 20661, 589, 3022, 476, 1240, 543, 3683, 281, 2136, 2276, 267, 476, 1001, 278, 268, 1001, 279, 269, 8158, 476, 1015, 270, 1240, 270, 1708, 272, 689, 4179, 2517, 4178, 6983, 26501, 10993, 14672, 577, 338, 9706, 20094, 7933 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5737, 10606, 692, 1428, 815, 476, 278, 1341, 476, 279, 543, 476, 1015, 815, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 269, 2052, 596, 2161, 799, 2338, 666, 581, 6829, 607, 519, 2040, 540, 1079, 610, 811, 15654, 9981, 2496, 2162, 24796, 781, 1230, 915, 675, 692, 13900, 523, 1500, 519, 28756, 675, 602, 834, 22336, 2789, 540, 3670, 814, 811, 2188, 982, 519, 1079, 2338, 2901, 2427, 540, 621, 2668, 1772, 713, 28756, 675, 3020, 2496, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2080, 568, 513, 1360, 4277, 8343, 689, 2806, 580, 841, 630, 290, 3559, 12107, 626, 517, 12729, 3427, 1916, 257, 3953, 23060, 568, 476, 5038, 543, 476, 5379, 10300, 1386, 568, 476, 2537, 3010, 13914, 827, 621, 256, 2052, 596, 1265, 811, 1806, 540, 3818, 4124, 602, 960, 519, 1482, 1259, 2496, 297, 11047, 710, 3576, 513, 1413, 693, 692, 3953, 6398, 476, 5379, 815, 476, 15704, 273, 454, 2537, 6398, 476, 5038, 815, 476, 15704, 273, 692, 663, 2366, 721, 1200, 4681, 1384, 296, 723, 2219, 827, 891, 2338, 543, 1945, 29598, 1250, 3750, 1384, 2252, 596, 2053, 519, 476, 274, 689, 519, 476, 1789, 609, 519, 476, 275, 689, 519, 476, 2412, 267, 1287, 596, 1205, 476, 1321, 780, 2252, 596, 2053, 519, 4559, 7857, 2338, 630, 273, 543, 476, 277, 264, 1927, 267, 1287, 596, 1205, 476, 1321, 1586, 780, 763, 1482, 3364, 952, 596, 2053, 519, 476, 273, 689, 519, 476, 736, 543, 519, 476, 277, 689, 519, 476, 2568, 543, 865, 593, 780, 2414, 6961, 1250, 3069, 1318, 267, 1934, 568, 1776, 1383, 1384, 4366, 1535, 476, 5655, 815, 476, 1001, 277, 454, 10019, 1535, 476, 2190, 815, 476, 1001, 277, 692, 2026, 596, 666, 1294, 267, 519, 1482, 3364, 4523, 1934, 267, 855, 519, 1297, 594, 1205, 568, 476, 1626, 780, 25405, 1408, 630, 17951, 5979, 16644, 4042, 12729, 3427, 264, 1031, 930, 7223, 547, 1413, 693, 875, 519, 2338, 9305, 547, 1142, 824, 543, 3357, 547, 519, 1482, 3932, 827, 519, 1412, 29181, 262, 9704, 543, 519, 1412, 28493, 262, 9704, 1384, 2252, 705, 1535, 524, 323, 815, 22678, 1535, 546, 322, 692, 263, 1015, 320, 1341, 536, 264, 630, 1015, 322, 1341, 546, 264, 815, 630, 1015, 321, 1341, 320, 264, 630, 1015, 323, 1341, 524, 2020, 1911, 659, 1341, 476, 1015, 611, 1341, 476, 1015, 25900, 1341, 536, 323, 815, 476, 1911, 321, 323, 1341, 476, 1015, 25900, 1341, 476, 1015, 611, 1341, 1035, 692, 4200, 659, 815, 476, 4200, 536, 323, 692, 659, 815, 536, 323, 692, 3383, 476, 3953, 1535, 476, 5379, 815, 476, 2537, 1535, 476, 5038, 692, 20357, 476, 274, 343, 275, 815, 476, 273, 343, 277, 692, 25405, 1408, 5795, 1079, 811, 1806, 1384, 3607, 1535, 476, 2641, 815, 476, 8287, 1535, 476, 1321, 815, 476, 4037, 277, 692, 1724, 1535, 476, 7830, 815, 476, 4029, 1535, 476, 2918, 815, 476, 3199, 277, 692, 9989, 2806, 698, 841, 781, 30945, 543, 10300, 1324, 2856, 960, 609, 891, 1806, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 799, 1294, 538, 519, 11158, 8552, 6993, 1872, 476, 279, 476, 1001, 279, 454, 2710, 31450, 3207, 609, 835, 3750, 1930, 888, 5591, 31450, 798, 711, 3207, 609, 741, 4064, 1930, 269, 1358, 723, 1614, 5036, 540, 22442, 1749, 281, 835, 585, 1025, 9722, 835, 585, 7738, 543, 835, 585, 12008, 563, 6701, 15083, 3149, 2681, 9420, 888, 5591, 24856, 5017, 971, 607, 31450, 616, 519, 1152, 1826, 540, 5017, 602, 616, 2681, 9420, 269, 1358, 723, 513, 2992, 528, 538, 519, 1394, 540, 519, 22100, 602, 9356, 1769, 563, 2710, 31450, 1294, 3109, 543, 3043, 888, 305, 16104, 1152, 1577, 721, 1294, 3109, 543, 3043, 855, 789, 960, 2731, 1134, 1256, 952, 519, 1769, 568, 1360, 3897, 269, 1230, 525, 1577, 721, 1294, 2681, 855, 1152, 960, 1134, 950, 621, 779, 7168, 1769, 269, 1411, 949, 723, 8068, 602, 952, 596, 1413, 693, 1919, 950, 621, 779, 4990, 540, 4158, 596, 1152, 1294, 18707, 540, 3109, 543, 12457, 269, 15083, 3149, 723, 1434, 3781, 5075, 585, 513, 1906, 4128, 563, 1432, 4778, 666, 5017, 711, 1294, 888, 1432, 3662, 568, 18555, 888, 1432, 3662, 723, 1100, 4064, 888, 1432, 568, 519, 9420, 652, 3662, 888, 268, 2368, 18253, 630, 1492, 5182, 5991, 2216, 3727, 666, 3713, 6952, 543, 3548, 1426, 5488, 982, 519, 1480, 3750, 666, 1246, 896, 476, 4968, 1984, 1047, 6948, 994, 268, 16429, 641, 18649, 1085, 584, 542, 630, 4565, 785, 6968, 338, 2006, 17178, 994, 268, 774, 320, 636, 770, 665, 3559, 13160, 630, 4565, 785, 2620, 5498, 320, 10981, 9094, 994, 268, 32559, 13946, 3165, 563, 268, 29190, 524, 4459, 1115, 563, 268, 7147, 2892, 600, 32752, 563, 268, 32559, 6366, 19095, 563, 1432, 568, 513, 22774, 22559, 888, 3674, 972, 513, 751, 531, 22559, 888, 1432, 616, 4544, 31450, 1572, 888, 16085, 852, 344, 22559, 7843, 1602, 531, 2039, 281, 2008, 21270, 889, 334, 23215, 13519, 639, 630, 299, 4883, 30906, 476, 11260, 279, 10245, 2710, 31450, 31997, 856, 540, 741, 5023, 888, 5472, 540, 519, 2694, 540, 519, 1426, 602, 519, 22559, 568, 8572, 547, 7558, 1205, 6740, 538, 513, 2027, 851, 540, 519, 31450, 685, 7181, 1572, 519, 575, 11170, 731, 269, 18738, 602, 851, 540, 519, 7181, 519, 22559, 814, 2178, 6091, 602, 5066, 1346, 4773, 909, 883, 513, 9395, 3440, 269, 16828, 602, 3440, 1572, 606, 22559, 10652, 2280, 4991, 1036, 4026, 18469, 909, 543, 838, 527, 856, 563, 6701, 972, 3109, 31450, 888, 1432, 568, 519, 1034, 1455, 3750, 2681, 585, 31450, 888, 3674, 972, 971, 3364, 607, 513, 5835, 22559, 888, 302, 342, 331, 779, 2097, 538, 782, 18707, 540, 7990, 689, 27578, 6519, 9466, 5835, 543, 4563, 563, 1432, 3662, 9356, 3039, 4064, 693, 3781, 888, 1432, 3662, 4064, 2992, 10538, 693, 3781, 888, 290, 1195, 4925, 20384, 543, 2915, 779, 4064, 2356, 723, 513, 535, 30711, 3043, 16657, 269, 589, 27342, 13906, 779, 4064, 21331, 568, 5835, 880, 3043, 269, 589, 7703, 779, 4064, 786, 16657, 535, 30711, 10538, 269, 13957, 4064, 21331, 568, 711, 1152, 17820, 676, 930, 540, 519, 11864, 20641, 543, 27738, 563, 1432, 616, 31450, 12922, 540, 888, 302, 342, 3149, 3335, 2057, 1022, 4990, 540, 3346, 609, 513, 1480, 1373, 269, 1403, 596, 1265, 856, 602, 606, 22559, 568, 30443, 6362, 12341, 1472, 707, 3959, 1118, 21089, 269, 962, 2454, 22551, 532, 543, 804, 6260, 568, 1018, 31450, 616, 12922, 540, 269, 23207, 1480, 2238, 538, 519, 4527, 540, 31450, 666, 1118, 873, 979, 2476, 563, 1692, 798, 31450, 31997, 888, 5715, 580, 652, 1043, 1570, 2451, 538, 519, 575, 11170, 731, 971, 607, 4522, 15693, 338, 32356, 543, 17207, 616, 1932, 5906, 547, 1780, 998, 519, 1964, 540, 519, 22559, 779, 9667, 8778, 269, 1677, 9108, 608, 4740, 713, 1570, 519, 22559, 779, 575, 11170, 731, 735, 9711, 621, 883, 513, 9395, 10652, 2280, 602, 519, 22559, 1036, 4026, 527, 919, 269, 634, 1036, 4026, 18469, 26005, 616, 1634, 607, 22559, 26005, 563, 1432, 616, 4816, 31450, 1572, 888, 347, 18484, 1406, 1413, 2025, 2614, 547, 4734, 519, 9566, 1475, 4777, 1413, 1175, 827, 2025, 2614, 547, 4734, 519, 9566, 2008, 347, 7224, 1906, 610, 711, 4628, 3766, 3497, 2048, 27393, 685, 17207, 1475, 2865, 569, 1922, 324, 9312, 5920, 2008, 347, 6658, 344, 610, 2048, 22381, 27918, 685, 5920, 1475, 560, 650, 930, 5923, 6853, 1524, 593, 17207, 3335, 593, 519, 1283, 540, 519, 2212, 11486, 15277, 519, 7953, 2008, 14110, 28475, 8025, 5058, 9474, 27345, 5990, 744, 310, 299, 24912, 661, 312, 2464, 1299, 6730, 661, 312, 292, 590, 20846, 281, 744, 310, 299, 966, 3041, 12778, 454, 295, 8582, 4888, 8379, 28940, 590, 7417, 5990, 20796, 17162, 454, 6701, 972, 4778, 602, 649, 27114, 685, 307, 1294, 888, 21008, 2581, 281, 10960, 17496, 0, 2690, 835, 4832, 267, 594, 5249, 693, 513, 2199, 28200, 544, 12976, 6371, 269, 11354, 717, 17311, 30895, 13315, 936, 476, 10384, 14143, 540, 2244, 269, 898, 729, 5750, 1229, 538, 476, 7277, 276, 543, 3788, 1930, 547, 713, 1554, 269, 634, 28200, 568, 513, 2101, 10278, 585, 6972, 267, 31610, 267, 8289, 5498, 4370, 267, 543, 3274, 21363, 538, 519, 2067, 10450, 269, 2290, 540, 519, 1919, 594, 3357, 547, 5469, 607, 606, 9441, 729, 519, 22880, 4334, 1063, 519, 4587, 2694, 540, 519, 28200, 543, 519, 18960, 13602, 269, 634, 9510, 10007, 543, 18205, 12508, 2270, 2370, 1344, 269, 2368, 10007, 798, 711, 1256, 723, 4408, 593, 873, 269, 1358, 3274, 2161, 968, 293, 1430, 892, 610, 968, 14813, 656, 2223, 3092, 269, 24771, 10007, 602, 798, 723, 1603, 593, 873, 3622, 1533, 519, 4266, 540, 4332, 267, 519, 4266, 540, 2669, 267, 543, 513, 1906, 3515, 689, 519, 6426, 269, 1703, 616, 6698, 593, 930, 540, 519, 10007, 799, 20301, 1978, 22825, 1765, 4777, 4701, 267, 23464, 267, 4108, 2367, 1765, 8364, 787, 606, 12835, 2762, 1808, 547, 1346, 4938, 725, 543, 1034, 540, 713, 12835, 2762, 568, 3833, 3504, 269, 1635, 4334, 267, 519, 18960, 10007, 616, 4988, 609, 1603, 269, 20514, 689, 2442, 8964, 267, 6965, 267, 543, 27742, 689, 519, 581, 516, 8491, 804, 13616, 891, 10007, 269, 634, 21777, 10007, 949, 723, 31960, 2592, 689, 11147, 865, 602, 606, 3239, 540, 519, 21549, 568, 23678, 1386, 5196, 519, 6149, 269, 769, 519, 18960, 2694, 540, 519, 28200, 267, 835, 666, 1265, 18205, 12508, 8032, 899, 20419, 3197, 269, 2368, 540, 519, 10007, 723, 519, 5920, 540, 2413, 626, 17001, 865, 607, 547, 1305, 621, 6306, 689, 4587, 1178, 4034, 2158, 269, 634, 1689, 689, 10007, 543, 30401, 799, 4734, 4986, 855, 513, 11953, 6149, 547, 30401, 799, 616, 4988, 609, 1344, 568, 711, 30289, 547, 6071, 6752, 610, 8441, 538, 2029, 269, 13298, 267, 713, 1689, 814, 3388, 547, 798, 609, 519, 2081, 1004, 1174, 2669, 3294, 563, 306, 7428, 717, 17311, 30895, 3294, 3357, 883, 6228, 1813, 547, 2810, 6161, 936, 26601, 5028, 17061, 543, 519, 5667, 534, 3202, 543, 5667, 4774, 4527, 540, 2025, 5939, 524, 655, 2678, 625, 799, 2451, 4666, 4703, 547, 9178, 883, 2959, 540, 6704, 1216, 543, 941, 606, 3413, 3224, 547, 1647, 11665, 2093, 540, 875, 16973, 1058, 2408, 269, 634, 12242, 12503, 540, 1857, 1072, 543, 4657, 8456, 4724, 519, 900, 10293, 540, 519, 4666, 14626, 3660, 2429, 519, 5375, 1158, 609, 519, 11944, 540, 519, 2413, 28200, 543, 11354, 717, 17311, 30895, 568, 30118, 1738, 540, 1346, 12503, 269, 898, 568, 1631, 606, 11999, 1383, 540, 519, 5397, 547, 1711, 513, 2230, 585, 519, 4666, 799, 729, 3362, 3015, 547, 519, 2749, 4099, 855, 3544, 540, 519, 2749, 1697, 267, 543, 621, 568, 606, 1383, 540, 971, 513, 2230, 602, 5713, 519, 3606, 3483, 540, 1373, 513, 10278, 585, 18883, 269, 898, 568, 11105, 547, 519, 2749, 855, 711, 538, 621, 269, 898, 568, 513, 2230, 11603, 585, 519, 954, 618, 540, 519, 4666, 267, 855, 621, 568, 513, 14952, 540, 5251, 1374, 543, 6189, 269, 14936, 267, 621, 3568, 1945, 540, 606, 15456, 2594, 540, 513, 6521, 538, 519, 1259, 2043, 1174, 2669, 3294, 563, 763, 28200, 568, 606, 1383, 540, 602, 1826, 540, 2230, 3989, 676, 18539, 322, 5435, 607, 513, 10636, 582, 18701, 269, 898, 568, 1312, 1483, 543, 26867, 269, 898, 26328, 513, 8473, 3148, 538, 2474, 540, 519, 4890, 2230, 799, 568, 13026, 676, 1483, 2043, 563, 295, 2678, 582, 641, 5362, 616, 1929, 1400, 4025, 9789, 1259, 513, 11604, 3091, 513, 1483, 1747, 799, 568, 1312, 1459, 543, 15534, 912, 10454, 11604, 3252, 607, 513, 10636, 582, 18701, 538, 713, 2463, 281, 621, 2306, 713, 1747, 602, 594, 19582, 693, 519, 4090, 950, 594, 1413, 693, 8885, 538, 519, 4837, 693, 2899, 11613, 1483, 267, 4448, 609, 782, 519, 2230, 602, 27788, 621, 267, 543, 11613, 26867, 267, 2094, 538, 1931, 547, 581, 9228, 621, 814, 547, 1780, 998, 713, 5691, 1448, 799, 568, 936, 972, 1701, 3097, 763, 28200, 3091, 513, 2147, 1514, 1599, 269, 898, 568, 519, 11604, 3239, 540, 519, 2749, 538, 602, 621, 568, 4625, 20982, 538, 922, 8901, 1374, 543, 621, 568, 13026, 269, 8616, 267, 519, 28200, 568, 2966, 711, 547, 7520, 519, 3350, 540, 4703, 855, 547, 954, 4703, 11652, 621, 568, 13026, 609, 519, 4666, 269, 898, 568, 519, 11201, 4528, 540, 519, 2749, 3294, 269, 6145, 519, 11604, 267, 519, 28200, 568, 513, 1483, 1747, 267, 855, 621, 13333, 538, 513, 6073, 602, 568, 26867, 2094, 621, 1281, 711, 1599, 607, 513, 1747, 585, 2043, 547, 2291, 267, 1152, 547, 964, 626, 269, 1924, 267, 519, 2413, 28200, 7153, 607, 513, 3135, 538, 799, 7239, 1223, 1747, 519, 4666, 538, 513, 1483, 1747, 602, 1599, 539, 607, 513, 2186, 540, 11389, 1275, 609, 2543, 547, 4948, 1272, 269, 1703, 568, 519, 1747, 540, 519, 4666, 799, 835, 1223, 3643, 543, 1256, 2972, 267, 855, 519, 1747, 540, 519, 4666, 1223, 581, 2322, 856, 540, 2247, 950, 621, 3357, 547, 2713, 1272, 563, 306, 7428, 717, 17311, 729, 4535, 540, 713, 1514, 3350, 269, 5853, 539, 538, 476, 7277, 276, 267, 621, 14626, 1938, 609, 519, 3140, 1974, 4330, 676, 18539, 322, 5435, 543, 621, 12217, 519, 2686, 15244, 799, 18539, 322, 5435, 6257, 607, 4191, 540, 519, 2413, 28200, 269, 1452, 616, 10723, 5624, 267, 855, 789, 7153, 1282, 513, 942, 602, 729, 3982, 569, 16712, 269, 634, 2413, 968, 322, 738, 540, 519, 4666, 892, 19674, 1282, 513, 942, 540, 513, 19433, 912, 21893, 28200, 24428, 3330, 519, 10723, 2230, 540, 519, 5939, 814, 3144, 593, 513, 3833, 1114, 5641, 538, 2413, 12977, 267, 543, 8049, 569, 267, 621, 568, 538, 513, 942, 950, 10340, 814, 1831, 2048, 7752, 2065, 16224, 607, 835, 3081, 1360, 19020, 569, 267, 602, 7262, 2528, 814, 3964, 1018, 568, 17941, 519, 1381, 540, 519, 4666, 1701, 3097, 2304, 968, 7752, 2065, 2223, 610, 16712, 267, 2486, 568, 849, 519, 2486, 602, 5932, 606, 3003, 2749, 13991, 547, 519, 11091, 540, 519, 4666, 269, 898, 568, 896, 891, 2175, 1765, 1718, 1431, 538, 799, 513, 6109, 3661, 538, 519, 1272, 540, 519, 9997, 568, 535, 8172, 543, 4061, 1590, 581, 5340, 538, 606, 2479, 811, 14969, 6752, 20196, 519, 1747, 538, 799, 862, 655, 2610, 540, 519, 4666, 3587, 513, 7298, 543, 10565, 4527, 269, 769, 3105, 2053, 267, 950, 519, 2175, 540, 7872, 2813, 519, 2175, 538, 799, 2043, 16119, 5156, 602, 2696, 16798, 519, 1416, 540, 519, 9997, 267, 1004, 1705, 711, 991, 547, 29428, 4703, 269, 1306, 5132, 538, 519, 9997, 8519, 267, 1416, 540, 519, 1560, 2799, 269, 11088, 267, 18539, 322, 5435, 912, 257, 15368, 1227, 621, 729, 3833, 2067, 602, 267, 538, 513, 942, 540, 1483, 3661, 538, 519, 24446, 540, 4703, 543, 519, 23629, 1275, 540, 519, 9997, 267, 936, 337, 4575, 2956, 729, 711, 11063, 539, 547, 519, 1560, 779, 3788, 269, 2201, 519, 14669, 267, 689, 519, 4090, 950, 1004, 616, 1100, 3476, 2386, 602, 789, 723, 513, 9997, 610, 602, 519, 1560, 786, 22919, 1272, 267, 621, 568, 5310, 2556, 547, 2285, 1454, 811, 3007, 547, 519, 4666, 1560, 267, 799, 568, 6038, 519, 1152, 10250, 540, 938, 6228, 538, 519, 1158, 543, 538, 1893, 269, 769, 1022, 2013, 267, 621, 568, 689, 519, 4098, 540, 519, 13524, 2540, 602, 3025, 814, 513, 1318, 547, 1200, 610, 1010, 1378, 2370, 4216, 585, 1200, 610, 1010, 1378, 2370, 2123, 9178, 267, 855, 593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 476, 1220, 280, 267, 519, 22768, 20885, 4643, 729, 7550, 607, 513, 968, 10919, 640, 268, 22529, 633, 6940, 16786, 585, 22768, 602, 11394, 547, 2333, 8244, 540, 4195, 3132, 2673, 547, 6800, 267, 1020, 519, 2199, 4346, 543, 1711, 6009, 267, 2087, 519, 2067, 1604, 267, 543, 3565, 547, 519, 2749, 779, 2825, 6940, 676, 1587, 1947, 1210, 7477, 656, 6266, 9731, 3080, 540, 22768, 779, 772, 288, 3646, 6818, 593, 519, 13464, 540, 519, 8592, 22846, 2160, 693, 8109, 269, 634, 9791, 20289, 779, 3131, 577, 568, 513, 2146, 4677, 9112, 676, 6280, 2818, 585, 12200, 267, 5234, 543, 2146, 2818, 968, 1729, 1451, 267, 4001, 267, 543, 2259, 2922, 543, 13476, 4264, 1426, 2504, 2409, 6100, 2201, 519, 14026, 602, 594, 13948, 10272, 519, 4677, 713, 2887, 267, 594, 729, 2111, 547, 7747, 519, 4677, 779, 24767, 540, 13538, 5965, 519, 3135, 585, 519, 5162, 269, 589, 5363, 2875, 15321, 267, 18498, 729, 593, 1688, 547, 1397, 543, 2491, 547, 803, 519, 4677, 779, 946, 540, 3382, 7031, 585, 519, 5162, 269, 4033, 3344, 540, 519, 3135, 1331, 513, 3542, 13541, 4677, 543, 32175, 585, 519, 10987, 267, 513, 17079, 2777, 585, 13733, 543, 29700, 543, 4829, 4054, 602, 1869, 16004, 513, 1906, 4453, 338, 269, 769, 519, 3395, 4005, 267, 519, 4677, 3771, 341, 3949, 22229, 267, 14274, 267, 31480, 267, 543, 513, 3099, 540, 16719, 269, 654, 5893, 532, 519, 25029, 540, 519, 4677, 20250, 267, 621, 568, 10423, 602, 711, 1152, 1281, 621, 1683, 1426, 543, 18883, 585, 519, 8592, 22846, 2146, 855, 5713, 513, 3677, 3483, 540, 7700, 547, 519, 2825, 6940, 3646, 540, 519, 6280, 543, 519, 2749, 540, 22768, 563, 5804, 519, 2689, 540, 1699, 3332, 543, 4830, 8343, 267, 713, 1353, 20147, 602, 4683, 6683, 568, 606, 2500, 946, 540, 1419, 796, 268, 4310, 543, 5924, 14460, 2749, 2230, 602, 2488, 3875, 1514, 267, 2804, 543, 3226, 2825, 2640, 269, 634, 3332, 8039, 543, 4830, 1382, 585, 713, 1353, 1336, 519, 1739, 2825, 2640, 540, 772, 288, 912, 4322, 4681, 2303, 602, 7598, 4683, 6683, 538, 796, 268, 4310, 2749, 5624, 568, 811, 2500, 267, 3246, 3875, 2825, 2640, 982, 6028, 519, 2230, 7477, 656, 563, 288, 3318, 5856, 786, 1118, 513, 2312, 267, 12161, 6954, 1957, 585, 596, 256, 7476, 948, 609, 707, 1028, 580, 618, 454, 8923, 2638, 707, 28600, 454, 296, 6415, 13378, 15318, 25138, 2433, 994, 296, 666, 948, 596, 4688, 3108, 593, 707, 6780, 269, 2913, 781, 1376, 676, 4466, 513, 5856, 269, 8340, 27752, 0, 2641, 269, 476, 6734, 269, 476, 1001, 280, 454, 1432, 666, 2518, 3906, 543, 7341, 3142, 547, 2199, 6043, 888, 289, 312, 6167, 6953, 5723, 3951, 2969, 10911, 13048, 454, 5415, 982, 2479, 267, 4872, 685, 3646, 547, 25211, 585, 4683, 6043, 538, 519, 3486, 26750, 616, 1898, 269, 26472, 3444, 5498, 28118, 12352, 267, 12018, 3609, 543, 11319, 4464, 2509, 1434, 2259, 568, 1100, 3476, 606, 4781, 855, 513, 13766, 269, 1306, 4872, 5051, 20920, 609, 519, 12503, 540, 15295, 10593, 267, 30333, 5989, 267, 4199, 22520, 543, 2916, 1689, 2591, 267, 1851, 1866, 267, 3906, 602, 666, 1589, 2518, 855, 957, 2199, 616, 21825, 2877, 538, 513, 1158, 602, 568, 7092, 689, 2518, 2591, 563, 3080, 540, 519, 1883, 4245, 630, 344, 564, 547, 581, 4121, 264, 540, 519, 2063, 476, 2412, 1296, 689, 6101, 960, 593, 5009, 543, 10825, 513, 2528, 540, 9568, 1981, 5786, 568, 875, 3844, 6043, 2679, 568, 547, 6940, 543, 11095, 3646, 269, 3955, 6761, 602, 2232, 513, 2582, 23314, 540, 1981, 267, 971, 607, 14700, 610, 16767, 267, 616, 711, 21924, 2200, 543, 1522, 3111, 547, 2015, 824, 1761, 2591, 269, 1280, 3236, 267, 1367, 2916, 1689, 3646, 630, 520, 2199, 267, 6237, 267, 610, 3084, 1377, 264, 616, 606, 13385, 3210, 547, 519, 2810, 2518, 2591, 540, 2916, 1689, 952, 711, 20291, 609, 9568, 1981, 5786, 4566, 543, 616, 711, 3811, 952, 789, 798, 711, 11753, 5571, 3157, 3366, 676, 2199, 8128, 563, 4002, 519, 824, 1688, 267, 2199, 543, 6237, 11051, 6560, 547, 9772, 971, 3102, 4485, 547, 6043, 2679, 1510, 5583, 543, 1489, 689, 3486, 3906, 543, 12205, 269, 901, 568, 1813, 547, 519, 2241, 2601, 602, 1247, 29270, 2518, 2591, 267, 6388, 2994, 538, 1114, 2694, 540, 519, 1158, 1223, 4688, 942, 543, 2200, 676, 18187, 908, 4540, 1434, 2853, 2864, 982, 13461, 593, 4693, 543, 5470, 269, 4139, 1489, 1281, 711, 2141, 723, 547, 581, 538, 519, 1106, 540, 2200, 610, 2930, 6351, 855, 666, 7520, 519, 5385, 540, 2853, 543, 4656, 9870, 269, 20871, 1369, 519, 6167, 1062, 630, 7419, 6953, 629, 18945, 267, 6167, 3041, 11403, 267, 2622, 7813, 1070, 2518, 2000, 5914, 2229, 12205, 630, 10813, 299, 294, 267, 595, 2412, 267, 15096, 4041, 296, 1070, 3486, 11051, 630, 305, 665, 651, 325, 11839, 7690, 267, 476, 1911, 13612, 264, 543, 24243, 5121, 616, 782, 3843, 547, 2232, 891, 2591, 543, 4336, 5346, 3646, 547, 1711, 7175, 5054, 585, 14388, 4683, 1949, 269, 9024, 328, 2510, 543, 12352, 971, 607, 519, 2405, 749, 514, 21664, 585, 12124, 26504, 267, 519, 6820, 19137, 585, 12124, 9197, 2478, 543, 519, 19419, 6717, 16604, 1788, 3565, 547, 2810, 519, 2200, 2139, 585, 6043, 20671, 693, 519, 2199, 1377, 563, 307, 8962, 543, 30334, 454, 763, 1909, 540, 3486, 3906, 538, 6043, 568, 267, 610, 1058, 2141, 581, 267, 29600, 1369, 519, 3397, 12629, 476, 10711, 271, 543, 519, 9072, 543, 3853, 1305, 856, 585, 6043, 454, 17220, 3906, 616, 1134, 25668, 5792, 547, 1489, 519, 13416, 532, 540, 6043, 607, 11609, 676, 519, 476, 1001, 279, 6249, 540, 2622, 20079, 4303, 1107, 8490, 12655, 543, 22990, 1304, 20079, 267, 543, 2621, 971, 607, 30209, 26504, 10432, 267, 543, 519, 22990, 1304, 20079, 17072, 267, 1851, 1866, 269, 6270, 2621, 711, 1152, 6318, 4656, 540, 6043, 855, 849, 1683, 513, 3760, 547, 13686, 519, 960, 2944, 676, 11051, 689, 519, 1857, 267, 4357, 543, 3791, 9922, 267, 693, 1114, 2157, 540, 10350, 563, 3849, 3439, 13577, 10148, 610, 13385, 14305, 540, 2200, 1419, 2061, 2199, 6608, 689, 24254, 519, 2242, 538, 3609, 10850, 610, 6042, 602, 1131, 1450, 873, 5466, 741, 1034, 14849, 6043, 2591, 269, 2201, 519, 824, 1688, 267, 4872, 543, 2199, 8128, 616, 5051, 693, 519, 21282, 540, 519, 3210, 547, 2067, 12469, 610, 547, 2518, 2591, 267, 899, 3486, 9194, 543, 2916, 1689, 269, 1635, 20834, 1944, 538, 3486, 12205, 267, 543, 676, 2324, 609, 3486, 3906, 543, 519, 6167, 1062, 267, 25772, 723, 606, 13778, 4316, 547, 3310, 3609, 9840, 693, 519, 3084, 1377, 267, 11319, 3844, 6608, 547, 5838, 593, 12725, 21445, 3853, 543, 9072, 563, 763, 11610, 6383, 676, 3486, 3906, 849, 7512, 22881, 543, 3486, 2883, 5238, 547, 1305, 6043, 607, 513, 7616, 10862, 543, 513, 18463, 585, 513, 3309, 2039, 540, 8639, 540, 782, 9922, 269, 1452, 3818, 268, 6247, 15856, 1890, 5867, 2709, 606, 2500, 1259, 547, 4434, 938, 7104, 1702, 543, 6791, 267, 607, 519, 19419, 6717, 16604, 1788, 814, 1044, 5693, 6029, 563, 2026, 649, 1847, 6251, 547, 519, 476, 10711, 271, 3397, 12629, 21120, 267, 543, 607, 519, 2591, 649, 3068, 1831, 3677, 543, 811, 7928, 267, 3486, 12352, 543, 7341, 602, 666, 11694, 2200, 786, 1831, 1898, 7405, 547, 1491, 5413, 540, 2199, 989, 31789, 1247, 21365, 3818, 1606, 5632, 541, 2591, 269, 769, 513, 2518, 1944, 1158, 267, 602, 1590, 20920, 609, 971, 2591, 267, 3486, 12352, 543, 5121, 616, 606, 2500, 3070, 5827, 540, 1312, 12145, 2942, 5222, 540, 891, 2591, 538, 4872, 1247, 849, 2679, 1312, 2199, 543, 2518, 6043, 269, 0, 16240, 2659, 13574, 5689, 2264, 454, 15916, 2353, 267, 3689, 594, 1131, 899, 547, 1305, 938, 6859, 543, 3853, 998, 713, 2376, 267, 538, 713, 2376, 649, 786, 723, 513, 1507, 5850, 543, 1383, 593, 875, 547, 2328, 513, 18453, 1210, 9226, 267, 634, 3077, 5304, 585, 713, 4930, 616, 519, 4081, 2146, 945, 11394, 547, 1174, 519, 2324, 3877, 540, 1169, 3364, 543, 1169, 1907, 789, 946, 267, 1317, 693, 519, 1439, 1034, 2645, 616, 2139, 2228, 269, 1717, 4804, 519, 3877, 568, 1898, 27268, 952, 596, 1616, 547, 1205, 4824, 543, 607, 649, 786, 1294, 621, 779, 711, 15177, 2257, 543, 930, 18453, 666, 2874, 540, 1175, 2241, 3515, 540, 3009, 563, 296, 6557, 2469, 547, 1865, 519, 2596, 2497, 593, 875, 547, 2328, 513, 18453, 267, 22342, 2264, 610, 18858, 329, 753, 267, 1284, 782, 917, 602, 972, 616, 1082, 2010, 540, 4731, 342, 4100, 1519, 3597, 330, 1080, 267, 26030, 16292, 267, 1883, 2845, 3455, 267, 2507, 31756, 269, 769, 713, 2376, 649, 786, 1376, 938, 5850, 609, 513, 1883, 2845, 3455, 22342, 2264, 1982, 602, 666, 3468, 513, 9486, 3684, 18385, 1510, 519, 1439, 3593, 1702, 563, 16240, 513, 1883, 2845, 3455, 3340, 1152, 2596, 8193, 1983, 269, 634, 5752, 1893, 594, 786, 581, 1210, 568, 5124, 2094, 621, 568, 1360, 2500, 950, 621, 2501, 547, 971, 3292, 563, 6524, 11744, 519, 3009, 267, 594, 786, 581, 4758, 513, 5618, 7778, 593, 519, 8647, 540, 519, 7097, 543, 519, 1259, 621, 1568, 269, 634, 7097, 814, 2185, 1292, 3252, 912, 268, 5410, 25284, 2414, 9359, 10000, 263, 2567, 901, 1599, 1110, 5809, 513, 1036, 3588, 1883, 1572, 670, 17395, 312, 318, 290, 7838, 305, 7728, 318, 4785, 2207, 315, 25413, 2264, 315, 19859, 7809, 315, 20360, 3298, 315, 14483, 309, 619, 542, 315, 305, 684, 269, 9980, 1845, 538, 713, 1036, 3588, 3313, 799, 3292, 1058, 2196, 1282, 519, 2780, 779, 23492, 610, 3593, 779, 21189, 282, 713, 568, 513, 1259, 547, 1118, 519, 18453, 2324, 18385, 563, 268, 31674, 290, 30113, 263, 2567, 901, 1599, 786, 12404, 1022, 2534, 8345, 538, 519, 4699, 323, 865, 602, 519, 3593, 1281, 711, 14353, 4376, 563, 268, 27189, 2414, 7230, 1774, 306, 13996, 263, 2567, 901, 1599, 10741, 513, 23094, 1377, 4276, 547, 519, 22215, 3684, 538, 519, 3483, 540, 11488, 621, 519, 1883, 560, 15809, 563, 268, 5192, 7659, 303, 5962, 4517, 306, 754, 2005, 263, 2567, 901, 1599, 11392, 519, 1883, 20399, 676, 519, 3593, 543, 1287, 15920, 621, 547, 519, 30429, 1210, 519, 1599, 27189, 2414, 7230, 1774, 306, 13996, 263, 1916, 19350, 568, 513, 2370, 2095, 24577, 540, 519, 1982, 12856, 563, 275, 269, 5124, 11905, 8943, 454, 1012, 13695, 295, 809, 543, 5124, 1260, 616, 3743, 585, 3478, 1883, 560, 15809, 454, 5814, 7510, 295, 809, 267, 9226, 1260, 454, 1012, 338, 12714, 786, 581, 1031, 585, 8756, 5137, 1063, 6408, 543, 519, 30429, 454, 1012, 1492, 1985, 13838, 616, 1031, 585, 9486, 3252, 899, 11049, 1036, 3588, 10569, 543, 12404, 4699, 323, 1599, 454, 5814, 3094, 3953, 324, 1203, 267, 3094, 3953, 777, 328, 267, 3094, 19587, 267, 7773, 3953, 935, 18030, 267, 7773, 3953, 7666, 328, 454, 5228, 9041, 7773, 2958, 1104, 27661, 3698, 5410, 25284, 2414, 9359, 1575, 263, 2567, 12361, 31262, 9502, 454, 1012, 514, 9226, 6449, 12803, 1029, 568, 606, 8216, 540, 519, 3758, 2619, 1141, 621, 729, 13401, 865, 952, 519, 3593, 2300, 3176, 519, 3758, 689, 519, 18376, 512, 6449, 12803, 1029, 1131, 581, 524, 24097, 22852, 315, 639, 20713, 315, 9188, 330, 9008, 454, 1012, 10113, 813, 2056, 519, 32197, 968, 7356, 2264, 18258, 7536, 1012, 7659, 11749, 568, 513, 6151, 5569, 4756, 5627, 1036, 3588, 1883, 2012, 563, 1012, 7090, 6151, 12673, 1031, 538, 2013, 649, 723, 1315, 538, 938, 12673, 454, 1012, 763, 1985, 7008, 540, 9479, 568, 4946, 606, 7127, 538, 519, 1036, 3588, 1883, 799, 786, 1118, 938, 3009, 2196, 1142, 942, 3593, 20743, 538, 563, 13729, 19368, 2750, 31107, 273, 4219, 267, 968, 295, 659, 11390, 291, 5608, 271, 267, 3918, 294, 318, 306, 313, 267, 1007, 18316, 24786, 994, 1012, 17730, 543, 3355, 1944, 4756, 1572, 1239, 799, 786, 3180, 519, 1883, 560, 15809, 543, 32764, 4306, 318, 7709, 799, 568, 519, 30429, 779, 7379, 454, 3698, 27189, 2414, 7230, 1774, 306, 13996, 263, 2567, 12361, 31262, 9502, 454, 29514, 1239, 12361, 17471, 4756, 799, 568, 519, 1239, 547, 581, 2366, 454, 258, 8620, 513, 27427, 23094, 543, 1921, 547, 519, 30429, 3684, 593, 5800, 476, 4335, 2073, 4322, 3515, 540, 3009, 594, 3494, 1034, 540, 9226, 3755, 3222, 540, 563, 3698, 31674, 290, 30113, 263, 2567, 12361, 31262, 9502, 563, 30720, 815, 3094, 3953, 935, 18030, 269, 7476, 3519, 18030, 20360, 578, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 562, 773, 737, 1782, 523, 267, 1520, 652, 324, 535, 573, 7062, 267, 1621, 601, 3110, 523, 670, 9404, 1564, 29736, 518, 267, 6519, 8285, 1299, 2913, 621, 6777, 269, 901, 2164, 538, 18337, 2295, 2068, 267, 519, 1034, 1455, 1826, 269, 715, 1735, 594, 3592, 1185, 513, 18337, 950, 594, 4862, 519, 3377, 269, 19681, 541, 12138, 267, 681, 6874, 3317, 563, 5804, 519, 666, 261, 4375, 282, 339, 2173, 1170, 27825, 547, 1187, 267, 1007, 23538, 267, 649, 261, 4375, 282, 557, 3893, 7366, 540, 4128, 585, 596, 547, 2490, 707, 14089, 593, 713, 9702, 4005, 11652, 4734, 621, 593, 256, 9615, 585, 2295, 2068, 5673, 593, 519, 2014, 269, 1548, 568, 18337, 2587, 25086, 286, 589, 8285, 8349, 269, 9652, 2813, 519, 1101, 8285, 8279, 538, 1010, 1753, 538, 1715, 3840, 4975, 563, 8620, 2221, 256, 1299, 26289, 274, 282, 261, 3953, 282, 763, 8285, 570, 16078, 7018, 593, 543, 1472, 8285, 4303, 476, 4489, 275, 267, 950, 519, 4992, 540, 20711, 956, 20590, 543, 16115, 1011, 5317, 535, 12184, 538, 513, 1297, 540, 4025, 2059, 519, 5375, 13571, 1282, 2622, 2782, 594, 269, 898, 1522, 581, 22573, 610, 1361, 10999, 21678, 269, 4578, 6452, 5596, 3502, 2871, 5875, 3975, 14959, 1401, 11079, 20531, 540, 12280, 4578, 1280, 519, 1739, 2477, 281, 1656, 528, 571, 267, 13648, 11866, 267, 18067, 3821, 267, 21244, 269, 634, 16209, 7674, 519, 17911, 2460, 540, 519, 26961, 1756, 616, 3254, 1934, 538, 513, 14402, 12094, 269, 4746, 267, 5135, 31398, 548, 1540, 1973, 1590, 581, 5645, 2476, 269, 12098, 753, 12582, 1405, 4413, 856, 593, 519, 8285, 21649, 282, 1265, 16092, 781, 19463, 17154, 8285, 10346, 1318, 1934, 543, 723, 519, 10700, 17154, 8285, 12129, 269, 27202, 8585, 787, 8285, 16858, 267, 8285, 6486, 543, 3235, 1841, 547, 2671, 519, 6891, 540, 4708, 543, 7772, 609, 707, 2828, 543, 1920, 543, 1118, 741, 8285, 513, 12300, 835, 563, 8450, 811, 7044, 585, 8285, 269, 20840, 776, 2295, 2068, 568, 1419, 3361, 676, 519, 19221, 540, 15799, 267, 513, 14589, 344, 6219, 267, 3330, 519, 16298, 540, 3677, 18337, 16209, 269, 476, 278, 856, 540, 476, 276, 6801, 476, 18597, 1547, 6258, 811, 827, 8285, 4054, 267, 1519, 741, 1686, 269, 1715, 8285, 19186, 636, 689, 18281, 8751, 4802, 15545, 3371, 789, 616, 281, 782, 519, 12897, 596, 1223, 2479, 1616, 269, 20840, 776, 2295, 2068, 630, 6224, 291, 264, 568, 513, 1895, 540, 1114, 2010, 540, 2295, 2068, 563, 6624, 1004, 849, 723, 513, 16243, 5374, 17450, 1572, 513, 588, 550, 17479, 1369, 519, 16050, 799, 2636, 1973, 547, 2095, 269, 966, 4925, 281, 476, 15876, 267, 3607, 275, 1923, 24162, 281, 476, 274, 269, 26277, 13929, 946, 568, 689, 476, 15757, 271, 338, 538, 4704, 547, 519, 1973, 8043, 602, 3761, 519, 16757, 6219, 540, 519, 2295, 543, 3295, 621, 269, 898, 568, 519, 3056, 2014, 540, 2669, 538, 519, 2136, 2276, 269, 20840, 776, 16050, 2068, 568, 519, 1034, 1455, 5817, 2014, 540, 9025, 9659, 543, 2669, 269, 20840, 776, 10009, 267, 851, 540, 519, 11528, 30057, 1062, 602, 7727, 1973, 547, 543, 2488, 12775, 689, 519, 8031, 540, 519, 2295, 269, 634, 513, 677, 320, 630, 1492, 1292, 1973, 18261, 547, 519, 1560, 264, 8371, 1055, 883, 1079, 1292, 18337, 269, 476, 6321, 634, 14041, 540, 18337, 838, 11047, 666, 581, 1336, 538, 9402, 1599, 540, 1312, 15466, 5347, 4887, 543, 32361, 2281, 563, 306, 2925, 585, 14254, 267, 610, 2972, 3905, 609, 29877, 4672, 8645, 585, 18397, 476, 3374, 25008, 269, 20840, 776, 16050, 21729, 2214, 11047, 269, 634, 15864, 1259, 547, 3262, 8285, 17869, 568, 547, 5838, 15826, 12119, 13344, 547, 519, 3283, 596, 2648, 269, 634, 3312, 2495, 540, 8285, 568, 513, 2027, 5939, 3028, 267, 610, 2527, 267, 547, 8661, 519, 4332, 540, 2441, 269, 589, 21649, 3844, 547, 519, 4168, 1396, 17790, 1032, 267, 621, 568, 269, 32087, 609, 12567, 543, 8285, 693, 932, 1846, 10290, 17914, 269, 1403, 596, 1265, 513, 12161, 267, 5225, 1577, 721, 917, 563, 261, 26289, 274, 282, 261, 3953, 282, 17357, 517, 776, 2295, 2068, 630, 6224, 291, 264, 568, 513, 1895, 540, 1114, 2010, 540, 2295, 2068, 269, 8285, 568, 513, 4168, 13411, 1554, 602, 7436, 519, 269, 3245, 5507, 8285, 6990, 543, 8285, 10918, 538, 5507, 267, 547, 4672, 1606, 330, 908, 678, 3855, 543, 8285, 2621, 267, 972, 616, 865, 1082, 9589, 1919, 547, 798, 538, 5507, 693, 8285, 269, 5565, 18337, 16209, 22132, 689, 519, 2451, 2427, 540, 519, 2295, 693, 519, 4098, 630, 10174, 264, 540, 519, 513, 677, 320, 267, 1175, 1310, 519, 513, 677, 320, 608, 1080, 519, 2451, 28602, 548, 269, 7705, 21662, 267, 519, 8285, 17976, 337, 563, 4415, 513, 1007, 13374, 267, 1973, 2095, 547, 519, 2295, 4887, 10607, 269, 1452, 16209, 7936, 1055, 689, 519, 513, 677, 320, 269, 1299, 26289, 274, 282, 261, 3953, 282, 17357, 517, 776, 2295, 2068, 630, 6224, 291, 264, 568, 513, 1826, 540, 9025, 2068, 630, 290, 13748, 264, 602, 568, 519, 3056, 2014, 540, 2669, 538, 519, 1158, 543, 568, 3743, 585, 1034, 7972, 1851, 2367, 267, 607, 1134, 607, 5111, 835, 563, 1103, 476, 6642, 273, 267, 1614, 1296, 1310, 32525, 11827, 519, 1101, 24534, 1769, 15941, 267, 11977, 670, 269, 589, 18337, 16050, 666, 979, 883, 838, 11047, 267, 27200, 1973, 2095, 547, 519, 2295, 4887, 630, 4593, 1335, 807, 1040, 27603, 267, 713, 3323, 593, 8285, 18832, 543, 16768, 2394, 5130, 476, 277, 267, 519, 21649, 540, 519, 8422, 18301, 630, 1492, 3312, 3828, 10679, 17963, 540, 8285, 5148, 1631, 267, 2705, 267, 2523, 538, 519, 772, 563, 294, 597, 3149, 1175, 530, 13860, 723, 1187, 267, 1256, 952, 621, 1522, 1491, 1747, 936, 28652, 269, 18435, 23623, 568, 3989, 607, 519, 5223, 540, 1611, 30218, 2095, 6991, 5833, 1282, 14278, 1670, 21729, 617, 7976, 267, 552, 269, 1299, 26289, 274, 282, 261, 3953, 282, 290, 3036, 2177, 14473, 19154, 302, 7495, 18919, 8582, 18154, 289, 293, 2567, 1892, 634, 16889, 18337, 1973, 2095, 568, 12671, 476, 18597, 16720, 26553, 269, 20840, 776, 12415, 11105, 547, 5579, 5896, 3075, 268, 601, 5024, 588, 757, 949, 849, 1831, 12155, 547, 10929, 18337, 838, 11047, 269, 1299, 26289, 274, 282, 261, 3953, 282, 288, 18337, 21729, 2214, 11047, 666, 849, 28230, 513, 17866, 8501, 23752, 15799, 3330, 606, 16050, 267, 4259, 1055, 513, 2407, 284, 321, 31500, 2295, 4323, 563, 12831, 1112, 539, 609, 5180, 267, 1585, 569, 11954, 610, 23788, 543, 547, 5529, 609, 513, 5835, 5182, 269, 744, 322, 2424, 610, 31797, 949, 581, 9864, 610, 2347, 269, 634, 18337, 16209, 4163, 1973, 5627, 5135, 543, 824, 5567, 1898, 547, 519, 3339, 8647, 540, 519, 2295, 4887, 269, 8285, 13028, 18557, 30816, 2093, 585, 519, 8285, 9702, 4005, 1519, 8285, 13492, 543, 10516, 2093, 267, 8337, 8285, 10346, 267, 610, 23788, 543, 811, 269, 5398, 18302, 1949, 798, 711, 2196, 593, 741, 2834, 16131, 269, 634, 2451, 543, 1318, 18337, 16209, 543, 741, 8371, 9114, 593, 269, 4746, 3406, 585, 5162, 543, 6777, 6337, 547, 1265, 811, 1863, 2592, 563, 5353, 4038, 17050, 1063, 513, 8959, 9056, 19812, 543, 513, 28910, 27697, 21279, 741, 19806, 4040, 8285, 15832, 269, 5269, 513, 8285, 20013, 609, 930, 19471, 1295, 576, 533, 625, 1500, 609, 25858, 2250, 787, 269, 19130, 909, 519, 536, 4593, 3726, 17646, 585, 519, 8285, 14812, 609, 891, 32154, 11993, 5182, 536, 4593, 7057, 609, 513, 11993, 1225, 323, 11423, 269, 3509, 1004, 30164, 741, 5321, 267, 3643, 1920, 610, 2828, 543, 5385, 13344, 269, 4033, 16209, 11651, 613, 689, 891, 1079, 1292, 16209, 543, 8831, 547, 519, 30085, 630, 321, 18847, 6712, 264, 540, 519, 2295, 563, 17357, 517, 776, 16050, 22114, 616, 930, 540, 519, 1034, 14845, 267, 20495, 3584, 538, 3556, 5735, 269, 1280, 1256, 811, 9589, 31054, 1543, 689, 18557, 269, 2073, 799, 568, 827, 271, 563, 17357, 517, 776, 16050, 2068, 630, 21020, 264, 4523, 865, 1419, 596, 4440, 917, 2576, 945, 814, 621, 269, 8285, 568, 9976, 593, 5412, 476, 1839, 543, 568, 1312, 513, 10723, 3909, 9702, 543, 513, 5001, 2686, 543, 5010, 7613, 269, 631, 3201, 292, 645, 30862, 674, 4932, 3201, 292, 563, 8182, 271, 267, 834, 24175, 3386, 585, 6095, 4133, 282, 257, 476, 13932, 271, 338, 267, 834, 704, 8877, 547, 513, 13862, 267, 23401, 513, 13862, 2437, 1312, 4587, 12823, 1631, 28572, 282, 689, 5824, 8318, 23581, 834, 1993, 610, 10362, 547, 513, 530, 805, 327, 267, 9306, 513, 6095, 1633, 6438, 6738, 628, 2437, 689, 1351, 7431, 834, 342, 805, 327, 267, 13862, 257, 630, 5408, 13862, 630, 333, 269, 6258, 811, 269, 634, 1129, 602, 8285, 568, 6368, 1934, 568, 950, 519, 8285, 3529, 4422, 909, 269, 2073, 972, 568, 513, 2603, 596, 269, 20840, 776, 2587, 25086, 568, 1031, 547, 2697, 519, 3169, 4087, 543, 10335, 540, 21957, 269, 3245, 2413, 16125, 547, 9702, 27825, 267, 891, 13475, 786, 1205, 596, 538, 519, 8285, 6891, 519, 4090, 596, 2046, 1404, 267, 7064, 547, 29078, 595, 4592, 2421, 267, 7225, 344, 12275, 1633, 267, 543, 811, 269, 10765, 6201, 593, 519, 5680, 281, 1520, 11187, 634, 9839, 23044, 1062, 3096, 891, 2592, 547, 4020, 513, 5714, 6422, 2203, 540, 519, 1973, 4881, 998, 519, 18337, 1973, 8043, 267, 7551, 7114, 9402, 2175, 543, 741, 10335, 269, 634, 18337, 16209, 3761, 1973, 267, 5135, 543, 5567, 547, 707, 2295, 563, 13731, 5733, 568, 519, 5993, 4168, 13037, 14120, 2441, 261, 4375, 282, 338, 4332, 267, 4371, 593, 5412, 476, 1839, 269, 5678, 281, 2296, 630, 18197, 8003, 264, 2296, 630, 18197, 8003, 264, 1546, 28852, 25385, 320, 261, 25240, 282, 565, 17012, 261, 23211, 282, 9820, 630, 14582, 326, 1664, 264, 7969, 334, 715, 25005, 4133, 630, 14582, 22080, 261, 20720, 282, 264, 2843, 510, 7846, 4736, 4736, 24012, 13953, 17276, 501, 354, 10951, 361, 420, 359, 508, 269, 898, 568, 519, 1034, 1455, 540, 519, 9025, 3676, 269, 623, 6369, 312, 14576, 30310, 9523, 9365, 12108, 269, 1299, 26289, 274, 282, 261, 3953, 282, 17357, 517, 776, 2587, 25086, 281, 634, 1034, 4977, 1505, 630, 1492, 834, 326, 1245, 3044, 8442, 585, 10442, 543, 10747, 18337, 16050, 2068, 630, 1040, 20840, 776, 2295, 2068, 568, 513, 1826, 540, 2295, 2068, 602, 10953, 950, 519, 16209, 540, 519, 2295, 3112, 5838, 2614, 5135, 11656, 1973, 547, 519, 2295, 269, 476, 279, 856, 540, 476, 276, 6801, 476, 278, 2420, 269, 898, 568, 519, 3056, 2014, 540, 2669, 538, 519, 2136, 2276, 538, 1312, 2367, 543, 2021, 563, 10574, 11905, 281, 20796, 17162, 31178, 10758, 294, 3198, 22003, 9569, 269, 634, 8863, 4696, 306, 476, 273, 4336, 9832, 689, 476, 271, 547, 476, 277, 267, 609, 2362, 8464, 10834, 513, 3152, 269, 2859, 8285, 8342, 5221, 540, 519, 5046, 268, 866, 14727, 528, 517, 8785, 17455, 2438, 267, 1082, 540, 519, 2081, 602, 8285, 568, 9976, 1522, 581, 1114, 713, 1032, 269, 9839, 2068, 814, 1082, 3123, 267, 1519, 11976, 267, 19473, 29912, 267, 543, 7296, 269, 8285, 8349, 338, 267, 670, 2096, 985, 543, 14576, 338, 5131, 585, 596, 547, 2972, 1282, 519, 8285, 17897, 689, 1744, 559, 2129, 654, 11208, 8535, 607, 649, 3314, 602, 968, 27716, 1772, 634, 17217, 1280, 634, 17897, 6100, 2073, 16668, 24921, 540, 1876, 16234, 538, 519, 14130, 19134, 2679, 13723, 1310, 646, 11074, 547, 1404, 8285, 1286, 11169, 693, 513, 14440, 538, 519, 2679, 779, 693, 8922, 269, 6271, 10551, 4781, 585, 16094, 7522, 539, 18337, 16209, 269, 5410, 18241, 31126, 609, 7718, 25411, 1255, 899, 1166, 600, 6804, 22250, 267, 28292, 5515, 267, 16560, 563, 306, 2056, 8285, 552, 290, 1841, 676, 4757, 568, 513, 8748, 1259, 547, 3262, 519, 7772, 540, 519, 8285, 4005, 547, 6068, 3283, 269, 16440, 5455, 547, 476, 2004, 260, 1341, 23448, 5508, 293, 269, 8285, 538, 519, 4677, 476, 278, 5437, 1107, 476, 274, 5130, 269, 20840, 776, 2295, 2068, 630, 6224, 291, 264, 4386, 950, 519, 1507, 1973, 8043, 602, 3761, 1973, 543, 5135, 547, 519, 2295, 7522, 543, 3006, 2182, 523, 267, 799, 936, 942, 666, 2014, 8297, 696, 999, 267, 2295, 6285, 543, 824, 14603, 2175, 563, 763, 18337, 16209, 616, 519, 1973, 8043, 602, 4163, 1973, 547, 707, 2295, 269, 4201, 25866, 545, 21910, 630, 10081, 788, 573, 1069, 545, 21910, 3738, 513, 2960, 21910, 3144, 689, 519, 3461, 261, 4375, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 779, 4168, 4147, 923, 22383, 13648, 9248, 661, 9248, 26135, 454, 293, 2109, 18753, 26358, 8466, 11470, 3778, 9710, 2928, 6490, 7546, 8535, 25491, 27140, 17826, 454, 20329, 1108, 23620, 3163, 3163, 11470, 8682, 6435, 11846, 28202, 14525, 13488, 8479, 16989, 2859, 2637, 637, 454, 294, 12952, 30365, 9105, 519, 8191, 454, 306, 580, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 17826, 1315, 9966, 5387, 1315, 7799, 518, 6506, 585, 8866, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 769, 2487, 1296, 267, 972, 814, 1044, 3395, 1719, 538, 519, 2361, 540, 21911, 267, 4481, 538, 13613, 2861, 1920, 3797, 630, 5723, 10499, 1040, 9474, 10499, 568, 513, 8261, 1242, 1106, 540, 1920, 3797, 602, 6212, 593, 28472, 14375, 8297, 696, 999, 543, 31811, 5150, 27589, 1063, 3237, 543, 1453, 269, 898, 14405, 2390, 6436, 540, 13613, 267, 799, 15974, 602, 2038, 2833, 609, 15637, 3337, 938, 6788, 543, 4606, 827, 3347, 2429, 1272, 269, 4340, 547, 713, 5133, 267, 2043, 945, 1995, 5812, 267, 11215, 4205, 609, 3119, 15637, 616, 811, 2693, 547, 1020, 5150, 13613, 6163, 267, 6353, 676, 513, 2631, 540, 3106, 543, 3972, 538, 2673, 3347, 269, 17957, 267, 1346, 945, 7237, 22522, 610, 5667, 6269, 677, 633, 1416, 949, 6560, 609, 14221, 610, 2057, 656, 13613, 3270, 267, 3056, 547, 7965, 538, 8108, 543, 4509, 2635, 4296, 609, 1866, 780, 1103, 519, 2796, 540, 3885, 267, 891, 13613, 6384, 666, 1404, 856, 538, 1950, 2081, 269, 1280, 3236, 267, 7526, 1063, 3237, 543, 1453, 1522, 6565, 689, 796, 637, 9407, 3929, 16398, 12082, 538, 4505, 5933, 540, 1646, 269, 1879, 891, 2152, 979, 15860, 267, 789, 1981, 31328, 9979, 540, 771, 28947, 543, 5134, 6412, 1369, 519, 1920, 1062, 269, 901, 568, 1141, 9474, 10499, 2501, 883, 1404, 267, 5356, 513, 11295, 1935, 547, 948, 3885, 2736, 1863, 689, 5739, 22228, 3270, 543, 11349, 6793, 7554, 1759, 593, 6568, 267, 8296, 267, 543, 8994, 2463, 780, 23338, 547, 9474, 10499, 568, 519, 1523, 540, 7393, 15366, 8417, 1107, 602, 568, 267, 2810, 3237, 262, 4390, 547, 13498, 267, 4612, 267, 543, 4431, 14013, 547, 741, 1126, 781, 6786, 543, 2115, 269, 3194, 5267, 602, 950, 3237, 6542, 15398, 8417, 267, 621, 11942, 5150, 13613, 543, 8992, 2318, 4093, 585, 6107, 2066, 1585, 11890, 267, 971, 607, 4824, 4081, 2773, 267, 4389, 2623, 2042, 267, 543, 8476, 2949, 8171, 269, 1677, 3035, 713, 3804, 267, 9474, 10499, 16293, 960, 5702, 609, 3237, 547, 2697, 543, 2232, 1022, 7496, 602, 1522, 581, 12042, 1359, 741, 2702, 547, 1921, 3927, 609, 741, 1126, 269, 1452, 9465, 1223, 1331, 2250, 911, 30864, 267, 2790, 1072, 2591, 267, 2792, 7965, 267, 610, 2942, 4978, 827, 13951, 607, 513, 2385, 780, 5194, 1883, 5057, 540, 9474, 10499, 3322, 5009, 7067, 998, 6571, 540, 22686, 4655, 269, 1635, 2870, 513, 2922, 2230, 585, 1930, 5188, 267, 16293, 7520, 7391, 6322, 693, 5466, 5817, 4664, 543, 20494, 341, 1734, 602, 3565, 547, 2078, 1167, 867, 269, 3414, 11461, 5717, 267, 1920, 2818, 1451, 547, 19472, 835, 1776, 781, 5380, 267, 2769, 1121, 16017, 585, 2250, 1098, 326, 11306, 267, 543, 2709, 19807, 950, 2009, 269, 11086, 267, 713, 1184, 2337, 11177, 3972, 543, 6536, 21047, 267, 22338, 519, 1259, 585, 17105, 25055, 543, 804, 4923, 612, 1851, 6068, 3283, 780, 13146, 1382, 7028, 519, 7145, 540, 9474, 10499, 538, 8156, 513, 2039, 540, 5626, 2152, 4810, 676, 1762, 1004, 267, 1519, 4965, 267, 4160, 267, 543, 8194, 5829, 4713, 269, 589, 13849, 20400, 3370, 538, 519, 4750, 540, 3057, 1388, 543, 7731, 10657, 8947, 1239, 689, 476, 1691, 19747, 6417, 8062, 5473, 936, 476, 8517, 5171, 269, 11778, 8612, 602, 9474, 10499, 26857, 1713, 20214, 538, 19591, 10835, 26331, 3379, 547, 1852, 2175, 267, 609, 9793, 1198, 7306, 4767, 2066, 2090, 269, 5015, 267, 4681, 6700, 602, 9474, 10499, 1522, 3132, 3152, 9283, 982, 824, 3742, 5574, 267, 10223, 922, 1761, 10626, 607, 513, 1101, 11060, 6304, 585, 6107, 10010, 609, 7099, 18063, 780, 8601, 922, 9153, 267, 1896, 2591, 2611, 538, 7598, 543, 22412, 908, 9474, 10499, 1369, 3309, 4791, 5468, 269, 1280, 1383, 267, 930, 9439, 949, 3668, 7850, 2866, 610, 2200, 2556, 547, 5838, 2963, 2861, 1920, 11257, 3927, 269, 3958, 267, 2686, 2188, 543, 1367, 3604, 666, 3310, 2126, 6278, 543, 3210, 267, 26089, 14624, 3358, 547, 1808, 2551, 1016, 25364, 269, 8892, 1382, 1058, 3136, 3695, 5499, 2994, 547, 11126, 9474, 10499, 6765, 543, 3986, 10333, 585, 9207, 5703, 2950, 780, 1103, 3932, 267, 13613, 2861, 1920, 3797, 4564, 513, 3532, 1907, 585, 14304, 14375, 7554, 543, 5355, 5626, 8647, 1851, 6107, 543, 741, 3885, 269, 1635, 13389, 4295, 3334, 540, 13613, 6384, 267, 9474, 10499, 3091, 4126, 585, 13710, 1689, 16135, 538, 10686, 1227, 6462, 3741, 543, 2853, 269, 1306, 938, 2486, 12066, 956, 609, 20387, 4145, 4478, 2790, 1072, 13103, 543, 29076, 8194, 267, 5092, 538, 2963, 2861, 1920, 11257, 899, 9474, 10499, 3587, 5051, 2629, 269, 3414, 11826, 3621, 7634, 543, 8149, 3646, 4724, 6388, 267, 649, 666, 4434, 938, 7104, 1620, 540, 875, 1655, 547, 1489, 7925, 3885, 5275, 24176, 267, 4276, 267, 543, 7067, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 11152, 282, 634, 2070, 519, 21755, 540, 2565, 3069, 1699, 5380, 538, 1514, 3069, 4320, 540, 5790, 1412, 338, 7715, 3429, 609, 519, 2619, 538, 519, 6708, 540, 24352, 10938, 543, 1312, 3676, 543, 13648, 625, 798, 1519, 1717, 2022, 3620, 541, 4034, 269, 15769, 786, 1796, 547, 581, 610, 3251, 741, 21113, 547, 2569, 16909, 269, 476, 11152, 282, 17422, 2070, 519, 21755, 540, 814, 14887, 267, 543, 16828, 568, 519, 3778, 547, 22388, 716, 2413, 2853, 585, 2506, 2869, 673, 17404, 1299, 936, 519, 3476, 32243, 269, 5689, 2917, 729, 519, 4975, 540, 22768, 547, 3589, 13022, 328, 21809, 267, 513, 2070, 519, 21755, 540, 2589, 543, 946, 7411, 602, 568, 3032, 29440, 708, 1149, 547, 16491, 2409, 593, 2500, 5210, 689, 6006, 10708, 547, 519, 31442, 2345, 540, 2553, 269, 901, 2070, 519, 21755, 540, 2565, 6663, 538, 1732, 3761, 540, 5095, 543, 6468, 609, 4859, 543, 1895, 538, 1250, 20799, 16464, 4680, 540, 2029, 543, 6032, 907, 476, 11152, 282, 11613, 2838, 2070, 519, 21755, 540, 2565, 3069, 1699, 5380, 538, 538, 7410, 723, 2919, 609, 10721, 1184, 8753, 547, 2789, 4527, 693, 1225, 516, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 31499, 1315, 21676, 1255, 1299, 7731, 1315, 5900, 16670, 15369, 7731, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 266, 17765, 2861, 918, 6839, 529, 918, 299, 1839, 313, 14330, 308, 269, 11762, 4988, 1331, 519, 17765, 267, 14443, 1949, 267, 13020, 1023, 267, 543, 5752, 269, 595, 568, 1031, 607, 519, 5752, 1893, 998, 519, 1257, 269, 634, 21276, 5106, 540, 519, 17765, 543, 13020, 1023, 568, 12006, 2429, 607, 2565, 547, 2870, 1942, 15807, 11251, 6693, 17138, 281, 7300, 1948, 23621, 570, 10216, 14022, 14691, 585, 2506, 5523, 4765, 7010, 281, 14691, 14022, 23634, 1410, 5336, 275, 570, 332, 275, 322, 11277, 326, 609, 595, 630, 26261, 3724, 264, 1315, 3367, 23095, 11261, 281, 476, 1001, 3199, 275, 8099, 2568, 273, 1428, 313, 454, 763, 1101, 1433, 2506, 5523, 4765, 7010, 281, 4985, 547, 8121, 300, 23634, 1410, 5336, 5843, 19055, 619, 568, 606, 4367, 547, 5904, 543, 7679, 5217, 2519, 593, 10198, 1893, 543, 595, 5752, 269, 901, 2034, 1433, 6212, 593, 7679, 5217, 543, 1062, 7400, 1374, 563, 296, 3494, 602, 713, 1895, 1223, 581, 5461, 538, 519, 2506, 5523, 4765, 595, 14691, 6092, 593, 13334, 267, 799, 594, 1175, 3323, 547, 4001, 630, 3240, 1715, 5729, 779, 6571, 585, 476, 1001, 274, 1916, 1607, 1433, 779, 10346, 666, 849, 581, 1031, 547, 1489, 1053, 1565, 11251, 5752, 585, 519, 1101, 942, 269, 9978, 1702, 540, 5752, 1210, 513, 1164, 7400, 1893, 568, 1898, 855, 1346, 5432, 609, 824, 1164, 7400, 4654, 971, 607, 5124, 610, 10084, 1058, 711, 723, 1932, 1454, 7411, 16116, 909, 519, 9238, 540, 11251, 595, 5752, 563, 290, 29448, 5336, 274, 5843, 19055, 619, 769, 13909, 5678, 1656, 595, 661, 9248, 5131, 1547, 901, 1433, 12857, 2596, 5752, 540, 8121, 300, 23634, 1410, 13365, 538, 10198, 1893, 543, 519, 17950, 540, 11251, 1062, 1374, 269, 898, 6799, 1239, 11269, 267, 10198, 6044, 16105, 267, 7598, 2596, 8060, 540, 595, 1893, 693, 519, 10198, 1377, 267, 543, 6044, 17683, 543, 29852, 269, 634, 1433, 849, 6227, 1082, 454, 1607, 1576, 2488, 606, 538, 3829, 4367, 547, 1603, 10198, 543, 11251, 2275, 3009, 585, 519, 8121, 300, 23634, 1410, 5336, 275, 29668, 518, 1920, 7868, 4152, 4604, 540, 3903, 585, 713, 1576, 568, 519, 5254, 19859, 19491, 16361, 5254, 300, 3953, 293, 275, 291, 18752, 4604, 267, 855, 540, 1576, 2094, 649, 2469, 547, 2328, 938, 3009, 1739, 519, 595, 5960, 3041, 3044, 519, 3009, 7318, 593, 713, 4604, 666, 3362, 581, 454, 12606, 7300, 14022, 12130, 1886, 549, 19485, 7010, 23634, 1410, 631, 15339, 14691, 1656, 3955, 325, 5217, 1433, 2407, 1863, 269, 14022, 12130, 1886, 549, 19485, 7010, 23634, 1410, 631, 15339, 14691, 1656, 14022, 12130, 1886, 549, 19485, 7010, 23634, 1410, 631, 15339, 14691, 1656, 454, 293, 3918, 2464, 290, 3201, 292, 8121, 300, 2910, 20670, 13052, 631, 661, 11586, 3633, 291, 3633, 11550, 16165, 4456, 300, 5058, 10790, 313, 2839, 296, 6730, 19364, 8379, 296, 8121, 300, 21398, 10498, 306, 966, 5357, 9331, 292, 476, 274, 8281, 674, 4181, 7051, 14022, 23634, 1410, 631, 2506, 5523, 4765, 14691, 631, 1794, 21355, 1656, 715, 2727, 328, 14022, 7734, 11730, 476, 274, 19545, 7300, 610, 3367, 6732, 2835, 538, 7300, 267, 21768, 18510, 267, 543, 631, 11893, 14474, 563, 2752, 300, 23634, 1410, 5025, 7871, 12463, 290, 648, 6713, 528, 454, 27775, 2105, 1433, 593, 8121, 300, 2506, 5523, 4765, 8468, 1107, 14022, 7991, 454, 32101, 8074, 476, 9692, 1107, 23634, 1410, 300, 274, 1107, 8121, 300, 6189, 454, 17806, 9248, 31478, 2506, 5523, 4765, 7010, 5071, 1107, 6186, 2593, 454, 2752, 300, 23634, 1410, 5336, 275, 15369, 5843, 19055, 518, 2060, 13159, 10434, 2264, 454, 2752, 300, 23634, 1410, 631, 275, 595, 5358, 30154, 22647, 594, 23860, 21602, 2060, 454, 2752, 300, 23634, 1410, 5336, 645, 732, 5336, 13926, 2506, 5523, 4765, 4211, 14691, 630, 10000, 11845, 994, 7072, 547, 2506, 5523, 4765, 14691, 609, 8121, 300, 23634, 1410, 5336, 274, 454, 14457, 1948, 23621, 570, 10216, 14022, 14691, 585, 2506, 5523, 4765, 7010, 0, 15703, 2090, 723, 11567, 519, 2702, 540, 1762, 1453, 547, 5806, 3729, 1063, 1434, 543, 3983, 1217, 1218, 538, 1007, 1565, 3871, 267, 513, 7613, 1634, 607, 16496, 3972, 267, 610, 16496, 1565, 269, 2368, 3173, 723, 1044, 5461, 538, 14236, 519, 2188, 602, 1852, 519, 16496, 1565, 267, 585, 1383, 267, 519, 1217, 656, 781, 4008, 267, 23440, 609, 519, 1217, 656, 267, 28146, 22975, 267, 1686, 540, 10727, 267, 1851, 1866, 269, 769, 8478, 267, 2705, 267, 519, 1297, 540, 2090, 538, 519, 2361, 540, 16496, 3972, 568, 1869, 3908, 269, 901, 1353, 6663, 547, 3565, 547, 713, 1899, 540, 7634, 538, 519, 2197, 267, 14236, 519, 1909, 540, 3237, 262, 2941, 1861, 531, 2078, 538, 519, 16496, 3972, 540, 19384, 1453, 269, 774, 8812, 29350, 1453, 267, 689, 476, 274, 547, 476, 276, 1296, 2025, 267, 786, 7119, 538, 519, 1382, 269, 1677, 2708, 16496, 3972, 267, 513, 5929, 17565, 5473, 513, 20803, 4305, 676, 1079, 1761, 1217, 1218, 609, 1114, 10727, 12583, 786, 581, 1031, 630, 328, 4318, 1421, 835, 1217, 656, 2141, 3081, 519, 4636, 2012, 540, 519, 3615, 543, 519, 824, 2141, 3081, 519, 2953, 2012, 1040, 1677, 2708, 2941, 1861, 532, 267, 519, 10515, 1861, 531, 20556, 17361, 786, 581, 1031, 267, 799, 786, 581, 9447, 547, 3237, 693, 519, 1153, 1141, 1453, 786, 581, 25945, 269, 1284, 2503, 547, 1265, 513, 2318, 9756, 1063, 519, 1377, 540, 15366, 2941, 1861, 532, 5759, 543, 1453, 781, 2773, 538, 519, 16496, 3972, 4305, 267, 607, 1134, 607, 513, 1292, 1198, 540, 2085, 563, 21158, 3370, 538, 3397, 17845, 333, 25556, 674, 4338, 2464, 303, 5240, 12072, 827, 519, 14172, 281, 0, 14399, 779, 3883, 1299, 16594, 14506, 454, 8133, 267, 540, 1576, 267, 538, 713, 1362, 267, 649, 2911, 827, 3978, 1919, 269, 1809, 1857, 6340, 666, 581, 1187, 267, 1932, 256, 2290, 540, 519, 1655, 2081, 547, 1451, 270, 16467, 513, 6340, 2511, 568, 547, 1900, 2476, 689, 811, 16041, 3584, 543, 2263, 519, 2241, 2943, 1271, 5072, 540, 4633, 6765, 269, 2334, 779, 1018, 596, 3580, 798, 538, 713, 7084, 563, 1607, 3018, 779, 4901, 8468, 814, 1614, 2694, 912, 8340, 270, 572, 937, 513, 1453, 779, 1433, 630, 324, 3052, 1421, 5682, 28096, 543, 8621, 676, 3220, 269, 1530, 1380, 1040, 1403, 596, 1810, 1406, 723, 1569, 547, 835, 267, 3643, 513, 5399, 610, 1265, 835, 2228, 269, 3367, 998, 519, 1433, 1896, 2053, 547, 1831, 5432, 609, 621, 563, 8025, 2894, 1700, 13440, 867, 3054, 538, 513, 3381, 538, 799, 596, 25783, 19489, 300, 621, 1210, 519, 3741, 540, 4633, 1336, 538, 713, 3018, 779, 11271, 269, 2755, 596, 666, 723, 519, 1433, 538, 4395, 540, 596, 267, 596, 3580, 991, 547, 581, 5432, 2614, 547, 2769, 3750, 3346, 2429, 269, 2142, 2386, 547, 946, 519, 3741, 540, 6765, 1336, 538, 519, 1837, 630, 332, 913, 618, 267, 17267, 267, 13047, 3099, 267, 3092, 12175, 1684, 10691, 2285, 513, 12377, 270, 1348, 6765, 1700, 20459, 540, 713, 607, 5467, 779, 14364, 269, 5269, 621, 4277, 256, 1284, 1616, 547, 581, 26970, 676, 596, 2336, 7661, 267, 2899, 596, 4076, 8737, 2542, 519, 1433, 267, 2992, 593, 707, 14232, 4633, 269, 1411, 917, 602, 1985, 3018, 568, 707, 1101, 2101, 4633, 269, 1411, 4076, 1044, 8600, 543, 1631, 596, 4076, 2322, 883, 2259, 930, 540, 519, 6836, 7146, 2389, 4902, 6127, 540, 5304, 6278, 630, 1492, 3483, 540, 2542, 713, 1453, 779, 1650, 16965, 1040, 1548, 32370, 798, 596, 723, 827, 1985, 3018, 286, 32506, 596, 616, 3226, 8401, 610, 7334, 827, 286, 14484, 593, 519, 960, 596, 2461, 3257, 585, 707, 13181, 4633, 1985, 3018, 563, 26589, 609, 707, 5532, 3381, 267, 1683, 513, 2110, 2854, 2022, 630, 4037, 268, 5611, 1913, 264, 602, 12857, 519, 1650, 596, 5697, 267, 1018, 596, 1589, 596, 1705, 519, 1655, 693, 267, 543, 1018, 596, 1589, 2115, 6454, 563, 1103, 707, 1246, 909, 9708, 267, 596, 786, 2070, 693, 2547, 1079, 824, 9708, 676, 707, 15032, 269, 2659, 6114, 1058, 5693, 2992, 602, 596, 723, 9763, 707, 9905, 3003, 10916, 269, 19410, 593, 741, 2773, 6730, 741, 4145, 827, 519, 14232, 4633, 269, 20644, 873, 1489, 267, 2994, 267, 19015, 267, 543, 5796, 269, 17372, 519, 1739, 538, 707, 30491, 912, 19853, 1377, 540, 4313, 630, 12441, 789, 3100, 6899, 538, 4395, 540, 519, 8254, 286, 1403, 711, 267, 1018, 1223, 789, 798, 547, 2087, 286, 994, 19853, 17568, 630, 27745, 596, 1294, 873, 689, 519, 22765, 909, 286, 21518, 789, 4628, 538, 519, 8254, 286, 12984, 519, 8254, 17479, 14013, 286, 12984, 519, 4282, 2973, 267, 3318, 267, 543, 2312, 540, 19240, 286, 994, 19853, 13047, 923, 630, 310, 699, 789, 10978, 2614, 286, 9894, 789, 3045, 9629, 622, 741, 1913, 286, 9894, 789, 2911, 1932, 3728, 610, 3500, 286, 9894, 789, 3100, 13730, 827, 519, 1570, 286, 994, 19853, 1875, 14620, 1023, 630, 12441, 789, 1489, 1018, 729, 1373, 1767, 609, 17267, 286, 9894, 17267, 1118, 2631, 610, 941, 789, 16297, 532, 286, 0, 6826, 564, 10174, 568, 6382, 1572, 1973, 2490, 2354, 543, 3568, 3875, 4909, 9360, 269, 634, 2564, 5383, 540, 14043, 23085, 723, 1044, 3622, 11567, 269, 1358, 1522, 3142, 1524, 30057, 8833, 2157, 267, 7028, 1648, 267, 543, 27298, 24395, 566, 563, 19853, 1970, 9770, 543, 3170, 6219, 543, 1164, 31833, 1543, 1522, 27481, 2790, 543, 25981, 13884, 563, 24791, 918, 630, 516, 958, 1390, 585, 1973, 30243, 6819, 264, 543, 7513, 630, 24030, 585, 4396, 7633, 543, 4522, 264, 616, 11338, 1459, 538, 581, 1115, 630, 272, 1040, 1358, 616, 14547, 538, 8192, 6775, 543, 949, 4434, 2597, 5786, 269, 3502, 5976, 9227, 267, 1382, 1869, 666, 1406, 3100, 547, 14751, 713, 563, 24916, 267, 513, 1906, 12665, 3398, 602, 10433, 1522, 960, 593, 707, 1560, 779, 4390, 547, 3824, 652, 9360, 269, 6733, 1524, 547, 1205, 5432, 609, 519, 5383, 540, 14043, 10174, 267, 922, 16138, 5109, 9043, 267, 4566, 267, 543, 12178, 563, 1432, 1772, 2142, 564, 10174, 888, 6826, 564, 10174, 568, 15469, 607, 5310, 519, 1655, 17724, 773, 269, 898, 568, 519, 7148, 10174, 4062, 540, 519, 14043, 2030, 269, 898, 568, 835, 540, 519, 3875, 1028, 677, 906, 540, 519, 4990, 29530, 5175, 3258, 529, 267, 799, 616, 782, 585, 519, 1034, 851, 2919, 585, 741, 5493, 23534, 7148, 23085, 543, 3762, 269, 31035, 689, 1373, 8246, 607, 1426, 267, 14043, 10174, 568, 11338, 8246, 607, 513, 29260, 2030, 543, 513, 1426, 2681, 656, 563, 14738, 689, 519, 5664, 12698, 267, 14043, 10174, 814, 1044, 8246, 607, 1426, 607, 1134, 607, 513, 2126, 585, 3833, 930, 942, 269, 898, 568, 30326, 1634, 607, 14043, 543, 568, 1572, 932, 4157, 663, 541, 538, 19446, 267, 3816, 565, 778, 553, 538, 5053, 267, 543, 15173, 1309, 328, 4298, 538, 4457, 269, 2142, 1115, 723, 589, 2041, 523, 8246, 585, 3833, 513, 1247, 607, 513, 2126, 585, 4401, 10638, 538, 4095, 3885, 563, 21357, 5383, 2986, 2142, 564, 10174, 454, 16100, 693, 519, 6207, 1034, 5941, 14043, 10174, 2640, 585, 8171, 563, 272, 269, 2904, 5548, 599, 20050, 2986, 20031, 1155, 28544, 454, 6826, 564, 16719, 2270, 6171, 1323, 543, 25558, 523, 6950, 602, 666, 948, 596, 689, 1394, 547, 4395, 269, 1358, 10123, 2270, 513, 2463, 762, 2268, 540, 561, 1393, 514, 267, 1776, 3532, 2860, 6604, 8665, 269, 1452, 6370, 1863, 4838, 2456, 543, 666, 8263, 513, 851, 538, 1480, 2960, 2584, 641, 8527, 1254, 630, 273, 1040, 16480, 267, 972, 568, 1100, 7525, 3408, 540, 581, 1115, 27185, 11238, 519, 23053, 540, 1319, 1005, 563, 2026, 8612, 676, 513, 4457, 1867, 267, 4006, 14043, 12387, 13293, 814, 15999, 1591, 15699, 3601, 269, 634, 4307, 4301, 6219, 540, 4006, 14043, 12387, 13293, 8858, 20935, 547, 1319, 1005, 3601, 630, 274, 1916, 273, 269, 2052, 13724, 16164, 2657, 454, 10112, 11167, 596, 616, 3206, 827, 1018, 616, 14043, 10174, 2640, 585, 519, 2960, 267, 1934, 779, 707, 3210, 269, 2142, 564, 10174, 28453, 814, 1044, 1336, 547, 4104, 718, 2960, 23872, 2208, 630, 275, 1040, 19452, 267, 581, 1115, 2270, 6171, 589, 602, 8952, 909, 609, 4396, 29935, 6106, 543, 2417, 10953, 2960, 8171, 269, 12192, 1323, 10123, 15081, 9529, 519, 1169, 1554, 18839, 540, 2960, 2281, 630, 276, 1916, 5278, 3398, 602, 14043, 10174, 949, 11338, 4217, 609, 17975, 519, 1973, 269, 901, 1522, 4434, 2960, 8171, 267, 2705, 811, 3408, 568, 20582, 563, 6826, 1115, 616, 11338, 1390, 19401, 1440, 902, 540, 700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29696, 267, 2597, 2530, 267, 943, 984, 5362, 267, 20026, 267, 543, 8886, 762, 15108, 6794, 2359, 563, 278, 269, 12713, 12890, 3724, 281, 1635, 5464, 15629, 6786, 899, 2295, 2557, 13260, 267, 4887, 8082, 267, 2960, 2932, 766, 267, 3092, 1421, 6915, 12890, 3724, 16877, 2043, 547, 2744, 6857, 1852, 936, 8238, 5669, 6114, 269, 10241, 12732, 2566, 5786, 267, 15677, 8323, 267, 23856, 6989, 14524, 15494, 267, 543, 19349, 540, 18942, 2773, 563, 279, 269, 1627, 580, 784, 281, 5381, 547, 12872, 15616, 267, 1627, 580, 784, 3322, 24754, 3350, 267, 5059, 9837, 267, 543, 14931, 7244, 269, 1717, 267, 621, 4025, 3152, 8561, 593, 14237, 543, 13326, 4835, 1648, 630, 304, 328, 1040, 2776, 14083, 4681, 5815, 1761, 2640, 585, 9025, 2068, 6604, 267, 5642, 5860, 5826, 267, 543, 2949, 21755, 6454, 563, 280, 269, 1234, 5942, 281, 14216, 1882, 689, 5545, 2474, 2495, 8471, 1272, 3196, 1648, 267, 1234, 5942, 9439, 8756, 713, 1648, 998, 741, 3946, 5196, 23700, 547, 19334, 1582, 13463, 2718, 7207, 269, 4014, 15877, 7347, 4791, 15418, 267, 1082, 1004, 1867, 4389, 4160, 267, 4824, 7099, 267, 543, 8476, 2631, 540, 8171, 1310, 8391, 1234, 5942, 7886, 780, 4089, 8422, 281, 15845, 12476, 585, 9650, 5174, 1328, 26935, 625, 692, 4407, 23278, 4973, 5359, 32736, 3823, 519, 12117, 540, 2247, 23073, 11257, 267, 11826, 3621, 7634, 3788, 2629, 547, 6086, 5573, 6811, 543, 3391, 5483, 3375, 6194, 269, 11569, 267, 20387, 2963, 7028, 3875, 5383, 2404, 609, 891, 7459, 2066, 8795, 5095, 543, 8658, 269, 1280, 1383, 1384, 265, 589, 13849, 20400, 3370, 538, 808, 24717, 18378, 6925, 7000, 602, 11009, 9066, 3292, 8507, 538, 16434, 20214, 538, 4160, 267, 4965, 267, 543, 1928, 3379, 547, 8060, 563, 265, 6271, 9836, 2689, 543, 13849, 20400, 5342, 676, 3213, 577, 8735, 21664, 11943, 602, 22591, 729, 9120, 547, 695, 600, 22591, 543, 8912, 1416, 538, 8156, 8398, 21288, 26043, 563, 265, 4340, 547, 513, 19747, 6417, 4693, 3370, 538, 7788, 1023, 540, 19884, 6925, 267, 10649, 9863, 811, 2500, 982, 7227, 4289, 1852, 538, 4227, 9228, 2566, 1851, 1762, 4079, 563, 265, 5015, 267, 513, 1353, 3370, 538, 4750, 540, 10266, 1336, 602, 11461, 11052, 3366, 547, 24802, 6209, 9283, 538, 1928, 8515, 543, 13779, 1851, 4587, 4079, 609, 12597, 30169, 780, 6962, 692, 2026, 851, 540, 32687, 3782, 267, 2247, 23073, 11257, 2709, 9621, 18817, 585, 5009, 11455, 9716, 267, 7303, 4576, 267, 543, 5883, 5312, 2175, 269, 1306, 2104, 3782, 4648, 267, 5432, 1944, 3054, 609, 891, 4485, 2636, 596, 547, 1683, 3102, 3461, 2069, 543, 4228, 707, 1378, 32367, 585, 4509, 6099, 1072, 269, 5457, 2141, 547, 5077, 23674, 2959, 950, 5275, 1344, 827, 1880, 2409, 543, 2015, 1367, 2115, 543, 7375, 950, 2857, 2056, 1022, 6304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 4467, 921, 29232, 267, 20010, 6925, 630, 290, 4456, 994, 18204, 13577, 2657, 5516, 1299, 25682, 454, 26045, 2657, 1299, 25682, 454, 27650, 2657, 1299, 25682, 454, 18204, 13577, 2657, 1299, 25682, 454, 8005, 2052, 5484, 24674, 689, 6715, 13577, 2657, 5516, 888, 18204, 13577, 1072, 1416, 568, 513, 3309, 543, 3102, 1935, 602, 6663, 547, 3986, 6671, 5574, 269, 2060, 513, 2647, 2039, 540, 7067, 11257, 543, 2553, 2139, 267, 32687, 1072, 666, 948, 2043, 609, 1585, 1072, 2152, 8151, 689, 5634, 547, 4049, 563, 21357, 1382, 814, 3254, 602, 32687, 1072, 2853, 616, 11212, 6225, 543, 2500, 538, 5355, 519, 2298, 540, 1272, 585, 1346, 609, 2168, 543, 5626, 2175, 971, 607, 3987, 267, 12263, 267, 4160, 267, 4965, 267, 16991, 3676, 267, 9667, 2152, 267, 543, 5312, 1928, 563, 2690, 3236, 267, 2620, 7244, 5751, 543, 1234, 5942, 7886, 616, 2241, 543, 9354, 2853, 602, 666, 948, 2043, 10010, 609, 2566, 1282, 513, 11112, 1554, 269, 6715, 13577, 1072, 3091, 606, 3573, 8552, 540, 2067, 1072, 513, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 31178, 1299, 32362, 1315, 23046, 1315, 9650, 5174, 1328, 26935, 625, 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, 2878, 17345, 5149, 281, 6657, 7726, 5811, 4373, 8702, 547, 713, 3078, 1576, 1770, 782, 827, 7421, 2055, 256, 1411, 1522, 581, 11842, 1946, 713, 5578, 568, 1271, 269, 4270, 267, 1373, 2111, 547, 2736, 1524, 513, 2243, 883, 922, 1114, 2694, 2337, 721, 1174, 1018, 568, 1373, 4280, 543, 4137, 856, 875, 547, 2626, 621, 3927, 269, 901, 5578, 568, 2523, 3730, 950, 4974, 585, 11400, 610, 11264, 10467, 269, 1635, 8026, 2243, 2079, 267, 596, 3513, 1831, 1732, 693, 6029, 1055, 1018, 596, 917, 543, 3478, 2362, 9344, 2439, 4131, 781, 1376, 676, 3168, 693, 606, 1383, 2243, 1927, 1384, 265, 9223, 17041, 1548, 616, 519, 3123, 543, 2360, 540, 2916, 1689, 2496, 3086, 267, 1577, 781, 5659, 713, 2243, 1900, 8386, 9912, 1384, 272, 269, 2608, 26368, 519, 1292, 4305, 15846, 6733, 585, 17161, 602, 2995, 596, 1018, 1826, 540, 3210, 568, 4397, 630, 324, 3052, 1421, 2491, 267, 4766, 267, 5635, 1040, 769, 938, 2243, 267, 519, 17161, 616, 1412, 8619, 4926, 262, 543, 1412, 324, 977, 338, 3299, 865, 649, 991, 547, 1683, 4128, 543, 4093, 1644, 547, 2916, 1689, 563, 273, 269, 2608, 308, 2955, 519, 2796, 15846, 6333, 952, 972, 616, 1022, 1808, 2127, 610, 3344, 596, 1058, 1445, 593, 269, 1280, 3236, 267, 938, 3732, 2243, 3085, 1405, 14574, 1022, 7182, 267, 2495, 596, 666, 1865, 1585, 2188, 7700, 547, 2916, 1689, 543, 922, 3309, 4539, 563, 274, 269, 2608, 17954, 752, 1524, 5705, 641, 923, 15846, 19147, 519, 2243, 883, 4130, 4773, 547, 948, 10891, 707, 4555, 269, 3776, 2243, 814, 1079, 1292, 3334, 1107, 3123, 543, 2360, 1107, 1818, 621, 4443, 547, 1544, 4267, 14384, 1354, 9256, 873, 14429, 1947, 780, 2080, 781, 1776, 2259, 2243, 585, 596, 547, 2119, 1384, 265, 9223, 17041, 1215, 1281, 519, 946, 540, 2029, 1764, 2792, 1851, 14038, 2221, 3379, 547, 4557, 1296, 3516, 2496, 12648, 930, 942, 547, 4019, 519, 1614, 3268, 5018, 4505, 269, 1879, 4712, 267, 2638, 707, 1620, 1996, 519, 1739, 15059, 1384, 272, 269, 2608, 14611, 17130, 15846, 11512, 610, 6542, 875, 1210, 2029, 5540, 2792, 1851, 14038, 1631, 8957, 513, 8717, 3516, 563, 273, 269, 2608, 3519, 3667, 15846, 10312, 593, 2242, 538, 2792, 1813, 547, 2029, 1369, 519, 9138, 942, 7406, 563, 274, 269, 2608, 8138, 9008, 923, 15846, 21302, 1312, 1699, 543, 2250, 2792, 2409, 267, 15663, 3604, 4547, 827, 676, 6639, 7760, 780, 2026, 596, 3356, 998, 713, 1576, 1770, 267, 1832, 28798, 707, 2243, 2079, 1983, 609, 811, 5751, 899, 891, 269, 5457, 267, 2259, 2306, 3501, 256, 17652, 2614, 267, 8840, 1524, 1950, 2055, 786, 1745, 2067, 543, 4674, 1652, 267, 3056, 547, 4824, 2773, 538, 10526, 543, 3564, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1911, 25153, 27326, 4828, 13445, 14313, 2336, 3080, 540, 519, 7887, 10569, 547, 519, 27326, 4828, 568, 7446, 799, 1641, 596, 1616, 547, 2328, 707, 960, 538, 543, 3384, 602, 2629, 1382, 2243, 269, 3367, 593, 547, 1265, 6667, 585, 3584, 2066, 513, 2647, 2039, 540, 5396, 563, 15761, 2105, 4828, 281, 634, 11146, 26260, 622, 2460, 540, 519, 25153, 454, 3080, 540, 519, 7887, 10569, 547, 519, 27326, 4828, 568, 7446, 799, 1641, 596, 1616, 547, 2328, 707, 960, 538, 543, 3384, 602, 2629, 1382, 2243, 269, 7788, 1195, 5944, 267, 4947, 909, 609, 602, 2856, 543, 1382, 2243, 666, 581, 519, 27162, 4554, 851, 540, 519, 3003, 1184, 269, 5675, 476, 275, 267, 1822, 1913, 827, 1945, 596, 616, 5461, 538, 568, 513, 2462, 2307, 543, 621, 1419, 7959, 7543, 547, 7522, 1524, 707, 4555, 269, 1677, 1118, 3388, 2706, 2312, 267, 1934, 616, 476, 1911, 27326, 4828, 11762, 585, 596, 547, 2721, 6667, 689, 256, 2422, 891, 607, 513, 5614, 4580, 547, 1711, 707, 1378, 1382, 2243, 476, 2336, 7476, 8081, 689, 589, 5440, 570, 12460, 4653, 454, 4263, 28469, 1181, 320, 649, 723, 936, 476, 4968, 21493, 945, 1159, 14414, 741, 27326, 4828, 269, 1358, 917, 4010, 875, 547, 1205, 606, 589, 538, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20797, 7726, 5811, 257, 607, 851, 540, 834, 4306, 11070, 312, 15978, 1315, 4446, 11929, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 32686, 1076, 8738, 7370, 543, 570, 4176, 3487, 2873, 281, 589, 6733, 693, 1215, 3776, 22014, 1877, 717, 1115, 17214, 2439, 5970, 596, 2479, 8068, 1018, 4523, 950, 596, 6749, 513, 890, 321, 1076, 883, 513, 11432, 286, 681, 902, 540, 1216, 3262, 856, 2066, 519, 2627, 267, 1318, 286, 1809, 723, 596, 2479, 11074, 547, 1589, 827, 782, 1346, 6263, 18616, 602, 1106, 1472, 519, 1747, 1141, 519, 890, 321, 1076, 5734, 519, 1216, 286, 2107, 6148, 596, 4312, 27762, 12853, 18616, 3544, 593, 513, 13566, 1554, 910, 789, 1413, 865, 7168, 607, 789, 10581, 998, 519, 2011, 1354, 1402, 4771, 256, 4270, 267, 621, 7140, 856, 602, 891, 2370, 18616, 666, 2965, 948, 721, 1174, 875, 938, 5790, 1568, 256, 15346, 267, 26001, 26834, 2913, 781, 4685, 538, 630, 1326, 621, 24047, 543, 1451, 811, 2439, 5331, 713, 281, 972, 616, 17542, 2390, 17542, 540, 7141, 344, 267, 6263, 5536, 13735, 1472, 538, 519, 2011, 649, 13236, 1169, 2582, 1554, 269, 1452, 5536, 2097, 689, 1082, 1114, 2959, 899, 7452, 15420, 267, 23967, 267, 610, 1256, 707, 1378, 14229, 324, 8240, 256, 12207, 1289, 873, 834, 320, 14058, 11169, 2437, 799, 10416, 1797, 834, 338, 13521, 610, 5277, 5536, 17735, 538, 3154, 1701, 1656, 835, 1259, 602, 1007, 20851, 11169, 1205, 3773, 547, 519, 5790, 568, 676, 1945, 1572, 834, 321, 889, 1076, 16802, 532, 1701, 962, 788, 267, 1175, 899, 1346, 18616, 649, 14437, 827, 4505, 2439, 3086, 267, 1577, 781, 2263, 1079, 1271, 2188, 602, 1860, 875, 891, 19389, 268, 11526, 20851, 11169, 13789, 281, 2837, 543, 6070, 1465, 630, 10193, 1634, 607, 834, 15680, 6541, 20257, 1411, 1522, 2907, 917, 602, 15911, 5210, 2356, 1611, 1447, 10053, 6878, 1247, 16830, 3283, 1291, 547, 16437, 518, 2326, 269, 1924, 267, 952, 649, 3002, 909, 930, 1216, 267, 621, 786, 4228, 267, 2870, 3677, 18616, 3379, 547, 21617, 1216, 269, 2334, 1689, 538, 2450, 5540, 875, 3362, 519, 18616, 2736, 6306, 543, 5305, 741, 20851, 11169, 269, 898, 849, 5222, 875, 1164, 1346, 9241, 4646, 20851, 11169, 666, 2951, 538, 519, 6607, 780, 2026, 585, 24952, 267, 4952, 20057, 1782, 930, 3349, 6070, 883, 513, 4837, 540, 1216, 269, 1548, 798, 596, 5469, 8345, 286, 1403, 596, 1767, 602, 519, 1216, 1377, 14380, 267, 1287, 2285, 3054, 513, 4154, 5182, 256, 17865, 4248, 568, 16437, 518, 982, 15195, 1317, 519, 15702, 6070, 6675, 1491, 909, 2230, 1063, 519, 1216, 6675, 269, 1879, 649, 4019, 713, 1523, 547, 5836, 6329, 1835, 4770, 5196, 24528, 267, 649, 1265, 602, 26869, 7472, 4130, 18616, 1813, 547, 922, 2362, 5860, 269, 1306, 513, 1267, 267, 7864, 855, 18219, 20851, 11169, 616, 2813, 1282, 519, 19389, 16802, 532, 1184, 936, 12084, 3379, 547, 12647, 610, 8933, 780, 3383, 1946, 1281, 1022, 540, 713, 2339, 286, 4197, 875, 2837, 543, 24952, 3310, 19389, 1532, 32231, 532, 27829, 5250, 2337, 3744, 3589, 4365, 3270, 267, 3950, 5533, 267, 543, 1256, 1353, 2916, 1689, 256, 9578, 267, 6616, 602, 1945, 607, 2241, 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 ]
[ 563, 268, 19078, 21140, 1808, 547, 1648, 7067, 454, 22117, 21541, 518, 910, 6424, 3171, 14852, 454, 20175, 23093, 910, 6424, 3171, 14852, 267, 595, 2106, 628, 807, 670, 8553, 8657, 267, 5845, 631, 3326, 517, 454, 20685, 923, 1299, 13751, 11485, 5004, 454, 310, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 14847, 775, 538, 16241, 16844, 257, 607, 851, 540, 834, 32628, 1315, 29960, 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, 1012, 17270, 7101, 541, 9061, 8791, 630, 305, 5425, 2020, 1103, 713, 1770, 267, 649, 786, 2263, 513, 5124, 1599, 602, 21410, 519, 7101, 541, 9061, 8791, 630, 305, 5425, 264, 540, 513, 12718, 269, 7101, 541, 9061, 8791, 568, 513, 2268, 540, 875, 3713, 762, 606, 1843, 568, 676, 16986, 269, 898, 568, 513, 2629, 1523, 538, 519, 2361, 540, 16986, 2029, 543, 568, 1031, 538, 1585, 3156, 971, 607, 2011, 6808, 1852, 267, 4365, 20925, 267, 543, 4108, 13178, 780, 2162, 4197, 519, 9046, 692, 763, 681, 5425, 540, 513, 12718, 5673, 593, 1896, 2188, 267, 1519, 922, 7516, 267, 519, 5086, 693, 799, 519, 16986, 5365, 16125, 621, 267, 543, 519, 15423, 540, 519, 16986, 5365, 269, 634, 1599, 649, 786, 1353, 3217, 891, 2188, 607, 3403, 543, 7024, 519, 681, 5425, 607, 3977, 780, 2162, 25159, 543, 4790, 1218, 692, 763, 1599, 3096, 1896, 4632, 543, 21635, 269, 2913, 781, 1174, 873, 835, 676, 835, 1384, 268, 2387, 531, 29699, 901, 6763, 585, 834, 10401, 257, 543, 4564, 519, 5223, 540, 519, 12718, 781, 3259, 547, 922, 8006, 269, 898, 568, 10155, 1652, 563, 268, 2387, 16210, 29699, 901, 6763, 585, 834, 9064, 11841, 257, 543, 4564, 519, 5086, 693, 799, 519, 16986, 5365, 16125, 519, 12718, 269, 898, 568, 6027, 538, 32494, 563, 268, 2387, 330, 321, 29699, 901, 6763, 585, 834, 330, 2053, 536, 257, 1141, 2387, 330, 319, 568, 519, 530, 13273, 3784, 540, 519, 16986, 5365, 543, 2387, 321, 319, 568, 519, 8953, 540, 519, 12718, 269, 898, 568, 10155, 1652, 563, 268, 2387, 21542, 29699, 901, 6763, 585, 834, 2675, 30568, 5086, 257, 543, 4564, 519, 5086, 693, 799, 519, 16986, 5365, 568, 16559, 676, 519, 12718, 269, 898, 568, 6027, 538, 32494, 563, 268, 2387, 322, 273, 319, 543, 2387, 322, 275, 29699, 1452, 616, 21635, 1031, 538, 519, 9273, 269, 2387, 322, 273, 319, 568, 476, 273, 543, 2387, 322, 275, 319, 568, 476, 275, 780, 2162, 634, 9577, 692, 763, 1599, 568, 5258, 883, 1079, 2694, 281, 835, 585, 30212, 11841, 630, 15290, 519, 16986, 5365, 16125, 519, 12718, 2059, 922, 7852, 264, 543, 835, 585, 1875, 268, 32681, 11841, 630, 15290, 519, 16986, 5365, 16125, 519, 12718, 693, 606, 5086, 6393, 2971, 16547, 658, 5549, 2064, 692, 2690, 30212, 11841, 267, 519, 681, 5425, 568, 7229, 1210, 519, 1739, 4542, 1384, 16465, 20728, 23334, 5425, 348, 815, 1422, 7032, 536, 317, 273, 1422, 3847, 263, 272, 910, 1422, 2765, 3189, 7562, 263, 273, 330, 321, 20728, 346, 21542, 16585, 2410, 330, 2125, 348, 1341, 1422, 2765, 346, 272, 25239, 275, 2410, 275, 17347, 321, 8203, 273, 322, 275, 348, 910, 1422, 2765, 3189, 6523, 263, 273, 330, 321, 20728, 346, 21542, 16585, 2410, 273, 17347, 321, 8203, 273, 322, 273, 4153, 2431, 994, 9681, 2080, 267, 2387, 7032, 319, 568, 519, 6310, 3586, 14039, 267, 2387, 321, 319, 568, 519, 8953, 540, 519, 12718, 267, 2387, 330, 319, 568, 519, 530, 13273, 3784, 540, 519, 16986, 5365, 267, 543, 2387, 21542, 319, 568, 519, 22502, 5086, 780, 2971, 6348, 5025, 343, 658, 5549, 2064, 692, 2690, 1875, 268, 32681, 11841, 267, 519, 681, 5425, 568, 7229, 1210, 519, 1739, 4542, 1384, 16465, 20728, 23334, 5425, 348, 815, 1422, 7032, 1422, 2765, 346, 272, 266, 339, 317, 273, 2410, 275, 330, 317, 273, 348, 630, 320, 272, 1341, 513, 273, 315, 6523, 263, 273, 330, 315, 6523, 7268, 3667, 346, 16210, 348, 9385, 3667, 346, 21542, 16585, 1341, 513, 274, 315, 7562, 263, 273, 330, 315, 6523, 7268, 3667, 346, 16210, 348, 9385, 3667, 346, 21542, 348, 4917, 9681, 2080, 267, 2387, 320, 272, 12452, 2387, 320, 273, 12452, 543, 2387, 320, 274, 319, 616, 14170, 602, 4096, 593, 2387, 531, 12452, 2387, 16210, 12452, 543, 2387, 330, 321, 18269, 1358, 616, 7229, 1210, 519, 1739, 12596, 1384, 16465, 320, 272, 815, 1422, 3667, 346, 531, 11892, 275, 910, 476, 273, 20728, 346, 531, 11892, 273, 20728, 346, 16210, 11892, 273, 1341, 476, 271, 269, 276, 20728, 346, 16210, 11892, 275, 1341, 476, 273, 20728, 346, 531, 11892, 275, 20728, 346, 16210, 11892, 273, 1341, 476, 275, 20728, 346, 330, 321, 11892, 273, 910, 476, 273, 20728, 346, 330, 321, 11892, 273, 20728, 346, 16210, 11892, 273, 910, 476, 279, 20728, 346, 330, 321, 11892, 274, 20728, 346, 16210, 11892, 273, 1341, 1422, 3667, 346, 330, 321, 11892, 273, 20728, 346, 16210, 11892, 275, 1341, 476, 277, 20728, 346, 330, 321, 11892, 273, 20728, 346, 531, 11892, 273, 20728, 346, 16210, 11892, 273, 1341, 476, 279, 20728, 346, 330, 321, 11892, 274, 20728, 346, 16210, 11892, 275, 1341, 476, 1724, 20728, 346, 330, 321, 11892, 275, 20728, 346, 16210, 11892, 275, 454, 9681, 16465, 320, 273, 815, 910, 273, 910, 476, 273, 20728, 346, 531, 11892, 273, 1341, 476, 273, 20728, 346, 16210, 11892, 273, 1341, 1422, 3667, 346, 531, 11892, 273, 20728, 346, 16210, 11892, 273, 910, 476, 271, 269, 276, 20728, 346, 16210, 11892, 275, 910, 476, 277, 20728, 346, 330, 321, 11892, 273, 20728, 346, 16210, 11892, 273, 1341, 476, 279, 20728, 346, 330, 321, 11892, 275, 20728, 346, 16210, 11892, 274, 1341, 476, 274, 20728, 346, 330, 321, 11892, 273, 20728, 346, 16210, 11892, 275, 454, 9681, 16465, 320, 274, 815, 910, 275, 263, 272, 1341, 1422, 3667, 346, 531, 11892, 273, 910, 476, 271, 269, 276, 20728, 346, 16210, 11892, 273, 1341, 476, 274, 7268, 3667, 346, 330, 321, 4153, 3667, 346, 16210, 348, 8203, 273, 7565, 330, 317, 273, 20728, 346, 16210, 11892, 273, 910, 22570, 3667, 346, 330, 321, 4153, 3667, 346, 16210, 348, 8203, 273, 264, 910, 476, 275, 7268, 3667, 346, 330, 321, 4153, 3667, 346, 16210, 348, 8203, 274, 454, 9681, 2162, 5124, 8943, 692, 3086, 602, 649, 1174, 519, 12596, 267, 1577, 781, 1413, 693, 519, 5124, 3009, 602, 28352, 873, 1384, 3499, 7090, 454, 5814, 2979, 692, 3698, 5173, 24417, 14369, 263, 531, 267, 27764, 267, 737, 321, 267, 1094, 267, 10071, 318, 4120, 2187, 825, 14039, 815, 2979, 32564, 454, 825, 524, 273, 815, 476, 273, 454, 825, 524, 275, 815, 476, 275, 454, 825, 737, 815, 476, 272, 1315, 737, 321, 692, 825, 513, 272, 815, 620, 2878, 476, 275, 910, 476, 273, 2608, 620, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 476, 271, 269, 276, 2608, 27764, 2878, 476, 275, 1341, 476, 273, 2608, 620, 2878, 476, 275, 2608, 27764, 2878, 476, 273, 1341, 476, 275, 2608, 737, 321, 2878, 476, 273, 910, 476, 273, 2608, 737, 321, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 910, 476, 279, 2608, 737, 321, 2878, 476, 274, 2608, 27764, 2878, 476, 273, 1341, 737, 321, 2878, 476, 273, 2608, 27764, 2878, 476, 275, 1341, 476, 277, 2608, 737, 321, 2878, 476, 273, 2608, 620, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 476, 279, 2608, 737, 321, 2878, 476, 274, 2608, 27764, 2878, 476, 275, 1341, 476, 1724, 2608, 737, 321, 2878, 476, 275, 2608, 27764, 2878, 476, 275, 692, 825, 513, 273, 815, 910, 273, 910, 476, 273, 2608, 620, 2878, 476, 273, 1341, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 620, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 910, 476, 271, 269, 276, 2608, 27764, 2878, 476, 275, 910, 476, 277, 2608, 737, 321, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 476, 279, 2608, 737, 321, 2878, 476, 275, 2608, 27764, 2878, 476, 274, 1341, 476, 274, 2608, 737, 321, 2878, 476, 273, 2608, 27764, 2878, 476, 275, 692, 825, 513, 274, 815, 910, 275, 2608, 630, 272, 1341, 620, 2878, 476, 273, 910, 476, 271, 269, 276, 2608, 27764, 2878, 476, 273, 1341, 476, 274, 2608, 630, 330, 321, 2608, 27764, 264, 2878, 476, 273, 264, 2608, 630, 330, 321, 2608, 737, 321, 2608, 27764, 2878, 476, 273, 910, 630, 330, 321, 2608, 27764, 264, 2878, 476, 273, 264, 910, 476, 275, 2608, 630, 330, 321, 2608, 27764, 264, 2878, 476, 274, 692, 825, 952, 10071, 318, 4120, 2999, 476, 272, 324, 268, 1321, 912, 1038, 1948, 16547, 658, 454, 1038, 678, 14369, 815, 14039, 2608, 536, 2878, 476, 273, 2608, 630, 272, 269, 271, 910, 2979, 4732, 514, 263, 273, 2608, 737, 2608, 536, 2608, 1094, 264, 1315, 630, 330, 2608, 536, 2608, 524, 273, 264, 1341, 630, 272, 1341, 524, 275, 264, 1315, 630, 275, 2608, 630, 330, 2608, 536, 264, 2878, 476, 273, 2608, 524, 275, 994, 4449, 17264, 910, 2979, 269, 6523, 263, 273, 2608, 737, 2608, 536, 2608, 1094, 264, 1315, 630, 273, 2608, 630, 330, 2608, 536, 264, 2878, 476, 273, 2608, 524, 273, 4917, 825, 3116, 912, 1038, 1948, 6348, 30212, 454, 1038, 678, 14369, 815, 14039, 2608, 630, 272, 1341, 27764, 2878, 476, 273, 264, 1315, 630, 275, 2608, 737, 2878, 476, 273, 264, 2608, 630, 320, 272, 1341, 513, 273, 2608, 2979, 269, 6523, 263, 273, 2608, 737, 2608, 2979, 269, 6523, 6025, 328, 264, 2608, 1094, 264, 1341, 513, 274, 2608, 2979, 4732, 514, 263, 273, 2608, 737, 2608, 2979, 269, 6523, 6025, 328, 264, 2608, 1094, 11723, 825, 2132, 678, 14369, 454, 7884, 1607, 1599, 3217, 2387, 531, 12452, 2387, 16210, 12452, 2387, 330, 321, 12452, 2387, 21542, 12452, 543, 2387, 4532, 1211, 318, 4120, 319, 607, 3403, 543, 7024, 519, 681, 5425, 607, 3977, 269, 898, 3096, 519, 2387, 4118, 319, 5399, 585, 6310, 4238, 971, 607, 25066, 3252, 543, 20800, 2747, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 723, 4121, 827, 7101, 541, 9061, 8791, 543, 875, 547, 5173, 621, 585, 513, 12718, 1210, 5124, 269, 1284, 723, 6956, 519, 12596, 1031, 538, 519, 9273, 543, 2938, 875, 789, 616, 8045, 538, 5124, 269, 901, 1770, 814, 5280, 721, 1020, 938, 7744, 543, 5690, 545, 1983, 676, 8840, 1524, 513, 1950, 1966, 883, 12863, 2694, 543, 6061, 1142, 851, 1900, 676, 1900, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 265, 620, 2878, 476, 273, 910, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 620, 2878, 476, 275, 910, 620, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 476, 271, 269, 276, 2608, 27764, 2878, 476, 275, 1341, 476, 273, 2608, 620, 2878, 476, 275, 2608, 27764, 2878, 476, 273, 1341, 26444, 1363, 476, 275, 2608, 737, 321, 2878, 476, 273, 910, 476, 273, 2608, 737, 321, 2878, 273, 2608, 27764, 2878, 476, 273, 910, 476, 279, 2608, 737, 321, 2878, 476, 274, 2608, 27764, 2878, 476, 273, 1341, 737, 321, 2878, 476, 273, 2608, 27764, 2878, 476, 275, 1341, 26444, 1363, 476, 277, 2608, 737, 321, 2878, 476, 273, 2608, 620, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 476, 279, 2608, 737, 321, 2878, 476, 274, 2608, 27764, 2878, 476, 275, 1341, 476, 1724, 2608, 737, 321, 2878, 476, 275, 2608, 27764, 2878, 476, 275, 692, 825, 513, 273, 815, 910, 273, 910, 476, 273, 2608, 620, 2878, 476, 273, 1341, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 620, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 910, 476, 271, 269, 276, 2608, 27764, 2878, 476, 275, 910, 476, 277, 2608, 737, 321, 2878, 476, 273, 2608, 27764, 2878, 476, 273, 1341, 26444, 1363, 476, 279, 2608, 737, 321, 2878, 476, 275, 2608, 27764, 2878, 476, 274, 1341, 476, 274, 2608, 737 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 700, 846, 1879, 595, 10541, 7790, 1635, 19378, 13177, 267, 15516, 267, 681, 323, 454, 23322, 2524, 540, 29762, 17506, 10118, 1331, 281, 12749, 7269, 1281, 1100, 5884, 3516, 538, 519, 15489, 630, 20657, 25325, 3529, 6749, 3762, 267, 2943, 11710, 14892, 711, 5884, 264, 299, 24147, 2371, 21496, 607, 6216, 20642, 2208, 1332, 689, 4867, 11710, 454, 7093, 335, 1563, 998, 24695, 961, 529, 19681, 2632, 267, 6075, 24972, 22450, 4099, 5399, 4717, 13541, 543, 849, 22186, 22220, 631, 269, 22398, 2917, 267, 13930, 7548, 540, 7082, 24972, 22450, 269, 0, 302, 27346, 3059, 10763, 3666, 568, 513, 1907, 602, 666, 581, 1031, 547, 1685, 12303, 1022, 1449, 596, 1522, 1616, 547, 798, 538, 519, 2361, 540, 7998, 269, 901, 3926, 2934, 513, 3059, 4159, 543, 814, 519, 2702, 547, 9260, 267, 2268, 267, 543, 3713, 15244, 5666, 563, 2304, 522, 27346, 10763, 3666, 568, 513, 3621, 6293, 602, 568, 1031, 547, 2268, 2597, 267, 2527, 267, 543, 5860, 269, 898, 666, 849, 581, 1031, 547, 2268, 519, 4320, 543, 2604, 540, 15559, 543, 9362, 563, 19445, 10763, 21356, 616, 513, 1826, 540, 8047, 6293, 602, 946, 3059, 2029, 547, 2268, 12035, 269, 1358, 666, 581, 1031, 547, 9260, 5439, 267, 3313, 519, 5834, 540, 6878, 267, 543, 811, 563, 2414, 946, 513, 3059, 10763, 3666, 267, 596, 1101, 991, 547, 4452, 519, 3732, 883, 519, 20604, 12068, 269, 634, 12068, 786, 1287, 9260, 519, 3732, 543, 4159, 519, 2597, 593, 519, 5496, 269, 1411, 666, 1287, 946, 519, 16181, 593, 519, 3684, 547, 1118, 1022, 11941, 547, 519, 2597, 610, 6482, 563, 19445, 10763, 21356, 616, 606, 1271, 1907, 538, 2257, 543, 2029, 269, 1358, 616, 1031, 547, 2268, 12035, 267, 3313, 519, 5834, 540, 6878, 267, 543, 811, 563, 763, 522, 27346, 20604, 4336, 568, 513, 6325, 543, 4977, 6293, 602, 666, 581, 1031, 585, 513, 3099, 540, 3621, 5301, 269, 3371, 616, 930, 540, 519, 2934, 602, 1118, 713, 3666, 606, 5140, 3903, 585, 3744, 543, 8047, 4648, 912, 268, 763, 3666, 568, 1500, 540, 19756, 4070, 543, 2934, 513, 14463, 4835, 3760, 563, 268, 2005, 814, 606, 2653, 3562, 14025, 1852, 8470, 267, 1818, 621, 2653, 547, 6330, 543, 946, 563, 268, 763, 3666, 666, 2268, 1312, 2597, 543, 4320, 8308, 563, 268, 2005, 2501, 609, 513, 8261, 267, 1818, 621, 2653, 547, 1205, 3323, 1210, 519, 3666, 563, 19445, 10763, 21356, 630, 291, 11274, 1070, 849, 1572, 5907, 3666, 267, 616, 8856, 7405, 1031, 547, 2268, 1507, 12035, 610, 9883, 609, 513, 1164, 4110, 540, 6111, 269, 1358, 666, 581, 1031, 538, 1585, 4853, 543, 3621, 3156, 971, 607, 2298, 1852, 267, 11891, 2359, 267, 1570, 2257, 267, 543, 1558, 14347, 563, 2080, 616, 930, 540, 519, 2640, 540, 1210, 513, 667, 5723, 912, 1700, 16914, 5596, 281, 667, 11274, 2709, 513, 1164, 4110, 540, 6111, 950, 7893, 1507, 12035, 610, 9883, 269, 901, 568, 1317, 789, 946, 4359, 3059, 2029, 602, 2488, 5730, 13220, 563, 1700, 310, 728, 31675, 281, 667, 11274, 616, 4922, 1031, 538, 1585, 4853, 543, 3621, 3156, 971, 607, 2298, 1852, 267, 11891, 2359, 267, 1570, 2257, 267, 543, 1558, 14347, 269, 901, 2306, 873, 4998, 585, 946, 538, 22475, 543, 15327, 269, 0, 763, 1650, 865, 2484, 281, 2311, 519, 2622, 9483, 17072, 538, 5096, 657, 267, 16848, 267, 513, 1906, 2395, 3516, 267, 10579, 540, 8891, 15950, 543, 7849, 13937, 10434, 324, 788, 19453, 8830, 328, 1767, 3127, 786, 10836, 607, 519, 6205, 540, 3039, 7250, 676, 2921, 5413, 540, 519, 1699, 1648, 6433, 2066, 519, 8608, 269, 3571, 25195, 3357, 3592, 513, 3923, 1310, 13813, 3127, 17290, 630, 302, 6579, 264, 20827, 3127, 779, 1101, 476, 4200, 269, 4200, 260, 6986, 3039, 7250, 2030, 538, 9456, 2667, 600, 779, 808, 528, 1002, 563, 288, 7990, 1652, 267, 5212, 712, 1652, 267, 13820, 6804, 267, 1875, 3562, 13877, 543, 3810, 12318, 1043, 31529, 6219, 267, 7250, 568, 519, 1769, 652, 267, 14724, 543, 1034, 10731, 4759, 540, 519, 1920, 540, 3114, 2609, 538, 519, 7122, 269, 1809, 513, 7990, 2443, 3039, 2443, 4776, 12089, 547, 621, 2306, 7250, 519, 968, 325, 3241, 540, 519, 2104, 6100, 634, 2048, 13582, 685, 5673, 593, 875, 519, 5201, 568, 6383, 547, 3489, 519, 7250, 267, 799, 1281, 711, 12520, 8511, 3154, 950, 14616, 563, 16675, 7250, 568, 3812, 998, 14793, 3974, 1210, 7791, 2959, 540, 1648, 971, 607, 3859, 267, 2842, 610, 3289, 601, 1379, 269, 25756, 666, 581, 2048, 326, 9445, 685, 543, 2048, 19990, 685, 1932, 269, 27578, 7250, 568, 6383, 998, 8093, 10173, 971, 607, 5755, 543, 3154, 543, 4867, 6589, 585, 476, 4817, 260, 540, 519, 2698, 2504, 538, 3162, 5607, 269, 9791, 7250, 267, 1932, 267, 568, 3812, 1210, 5201, 6383, 676, 8781, 8093, 10173, 855, 609, 4066, 547, 2061, 519, 3327, 5950, 538, 519, 1184, 689, 10024, 519, 5790, 563, 15152, 519, 8303, 15716, 630, 320, 16155, 11006, 3486, 14097, 593, 2916, 1689, 609, 519, 3804, 540, 12145, 2518, 8337, 547, 2630, 476, 273, 9180, 3379, 547, 840, 11897, 12009, 2157, 264, 540, 476, 1001, 276, 267, 3127, 568, 8149, 547, 4227, 922, 8511, 3154, 5434, 676, 476, 3451, 268, 3374, 260, 689, 519, 476, 1220, 276, 2157, 269, 2311, 519, 476, 1708, 272, 10985, 540, 3487, 625, 538, 29161, 267, 3127, 556, 3438, 730, 922, 7029, 547, 1847, 689, 513, 8093, 543, 1104, 17466, 4346, 547, 513, 2121, 25179, 4346, 676, 476, 21709, 271, 269, 3127, 779, 3328, 5993, 1648, 1104, 3915, 568, 811, 982, 1269, 1911, 5479, 543, 519, 2799, 4616, 540, 8093, 4492, 814, 1500, 519, 2197, 513, 1164, 3327, 8166, 630, 4596, 273, 264, 900, 7867, 267, 8051, 585, 5176, 476, 278, 260, 540, 519, 2518, 2910, 273, 11411, 269, 769, 1931, 547, 1831, 1648, 4830, 676, 476, 14225, 278, 267, 519, 2229, 14129, 519, 991, 547, 6338, 3039, 7250, 607, 606, 4244, 4492, 602, 666, 1118, 3127, 519, 2518, 13398, 543, 513, 2101, 1163, 7163, 540, 7250, 563, 763, 2817, 25756, 17030, 729, 9250, 593, 4864, 476, 1428, 267, 476, 1708, 272, 267, 609, 513, 2070, 547, 5969, 1524, 3327, 5434, 543, 2810, 519, 946, 540, 7791, 2959, 540, 1648, 563, 19328, 814, 1175, 13175, 547, 5352, 3039, 7250, 609, 519, 6662, 540, 9870, 1875, 1922, 1601, 559, 1648, 4390, 547, 476, 4335, 17254, 1177, 30476, 676, 476, 10711, 271, 563, 2005, 729, 593, 4989, 476, 736, 267, 476, 1708, 273, 602, 519, 1857, 5823, 744, 6579, 267, 799, 568, 2212, 32483, 1229, 538, 9456, 2667, 600, 779, 667, 592, 807, 13568, 267, 1305, 909, 3127, 779, 1101, 476, 4200, 269, 4200, 260, 6986, 3039, 7250, 12681, 2030, 538, 5329, 609, 519, 3804, 540, 968, 14708, 519, 2197, 4712, 585, 519, 12681, 8397, 2504, 540, 7250, 543, 922, 946, 538, 1585, 3156, 892, 1247, 968, 516, 14142, 543, 1646, 3646, 616, 5571, 585, 513, 5786, 538, 519, 1942, 540, 2504, 267, 4859, 543, 519, 6283, 892, 540, 7250, 563, 763, 2030, 729, 1305, 909, 693, 519, 19386, 3408, 2101, 779, 808, 528, 1002, 6802, 6728, 267, 849, 538, 9456, 2667, 600, 563, 303, 10062, 676, 513, 476, 4335, 918, 310, 3859, 2030, 267, 519, 3039, 7250, 1770, 814, 606, 8704, 4390, 547, 3132, 476, 1015, 4846, 540, 7250, 829, 1554, 543, 4336, 621, 909, 547, 476, 1789, 4846, 829, 1554, 563, 288, 2027, 2213, 1025, 2658, 814, 849, 1044, 8704, 585, 16471, 3039, 7250, 3812, 689, 519, 1770, 609, 519, 2067, 3154, 13859, 676, 519, 2667, 600, 13937, 15278, 17290, 543, 23478, 519, 20762, 3154, 547, 519, 808, 528, 1002, 1858, 585, 6469, 543, 4853, 946, 563, 302, 6579, 814, 7722, 4966, 689, 519, 4095, 4659, 540, 5303, 8566, 340, 11445, 1002, 328, 547, 2708, 519, 1764, 540, 519, 20762, 3154, 593, 519, 4540, 9744, 563, 763, 26740, 2470, 540, 7791, 1648, 267, 2523, 2842, 267, 5012, 547, 7470, 16132, 269, 5682, 7250, 666, 581, 6740, 585, 1279, 5712, 540, 942, 269, 634, 6740, 7250, 666, 581, 1031, 547, 3132, 5201, 1210, 4492, 2281, 269, 769, 513, 4492, 1591, 267, 513, 3926, 602, 17838, 519, 1648, 540, 513, 3114, 883, 5201, 267, 7250, 3154, 23465, 609, 5135, 547, 3132, 5201, 543, 1216, 32350, 269, 25756, 267, 3976, 267, 666, 957, 607, 606, 1648, 4859, 3926, 543, 3565, 547, 7470, 6617, 269, 20226, 2161, 519, 5135, 267, 3812, 607, 513, 676, 1790, 6055, 630, 279, 4846, 540, 5135, 568, 3812, 829, 476, 272, 4846, 540, 7250, 1070, 666, 849, 581, 1395, 564, 2213, 676, 1210, 621, 585, 4853, 543, 2564, 3156, 610, 585, 23429, 519, 1604, 269, 634, 7399, 540, 7250, 723, 1500, 1082, 2477, 32410, 9541, 609, 17577, 2348, 30792, 513, 3084, 7250, 4640, 4502, 1269, 278, 269, 278, 5479, 538, 2904, 269, 24997, 9367, 1294, 3039, 7250, 607, 606, 6932, 2344, 543, 930, 723, 6098, 519, 3560, 5823, 267, 4352, 3167, 6472, 723, 13175, 547, 6952, 519, 9345, 540, 6800, 2221, 269, 0, 1103, 5374, 851, 21753, 543, 5663, 267, 606, 5086, 3046, 568, 513, 1826, 540, 3046, 1031, 547, 1711, 6462, 15174, 543, 3544, 678, 15501, 269, 1452, 15174, 543, 678, 15501, 616, 1031, 585, 1585, 6821, 543, 7252, 269, 6270, 13063, 616, 3362, 4294, 547, 12303, 1022, 1826, 540, 2627, 998, 13841, 610, 676, 1210, 1743, 2683, 3728, 2287, 2409, 563, 763, 5374, 5086, 3046, 267, 585, 1383, 267, 568, 513, 5374, 3046, 8032, 899, 606, 700, 269, 2290, 5086, 568, 13902, 547, 519, 824, 269, 901, 3029, 606, 3330, 5086, 607, 1134, 607, 606, 3544, 5086, 269, 634, 5011, 540, 519, 5086, 1419, 19040, 607, 26321, 24234, 3046, 610, 772, 928, 23974, 24234, 4446, 563, 17951, 548, 4446, 10241, 912, 268, 23305, 543, 8490, 14716, 267, 15167, 14716, 267, 570, 3471, 267, 16242, 26751, 1088, 267, 4425, 8814, 543, 14333, 1401, 577, 13377, 267, 13082, 4675, 2176, 267, 13082, 28577, 725, 267, 26676, 8490, 454, 268, 2353, 3446, 2039, 585, 12539, 13082, 267, 631, 843, 13082, 267, 4425, 8814, 17934, 6103, 267, 570, 3471, 267, 26676, 8490, 267, 4400, 23848, 267, 8899, 5025, 961, 1195, 267, 649, 849, 723, 782, 2039, 540, 32255, 9344, 563, 268, 774, 32169, 268, 476, 272, 269, 271, 7825, 547, 476, 1789, 269, 271, 7825, 2073, 17121, 268, 476, 1428, 7825, 547, 476, 4335, 7825, 267, 20099, 268, 476, 274, 267, 1822, 7825, 547, 476, 1321, 267, 1822, 7825, 0, 1692, 547, 946, 1306, 5145, 956, 538, 513, 4845, 454, 289, 1115, 344, 568, 1390, 693, 1382, 543, 26795, 1568, 609, 1215, 773, 267, 7011, 956, 519, 4388, 543, 666, 5838, 873, 563, 763, 1153, 7011, 956, 891, 3292, 1759, 593, 2199, 2115, 563, 15371, 513, 1126, 4249, 609, 1200, 31119, 543, 9909, 540, 1373, 513, 544, 20207, 267, 610, 1352, 14560, 547, 2119, 856, 1007, 535, 1662, 687, 543, 6163, 602, 1352, 7011, 956, 267, 1352, 568, 8023, 1200, 9345, 543, 5876, 563, 1103, 623, 569, 17625, 4805, 513, 18239, 540, 930, 1079, 4627, 16996, 267, 553, 5145, 956, 282, 543, 593, 519, 3943, 2427, 540, 519, 19305, 1100, 1447, 3854, 543, 11668, 616, 16539, 538, 621, 267, 519, 8043, 6964, 1373, 267, 1498, 1447, 538, 1297, 267, 3677, 538, 2450, 982, 593, 519, 2296, 2427, 563, 4263, 519, 2834, 4884, 5870, 4371, 538, 4728, 519, 1528, 28672, 540, 519, 4884, 7011, 956, 267, 16976, 1018, 4927, 581, 2944, 585, 519, 4884, 1282, 519, 1671, 5224, 1032, 267, 1528, 338, 10492, 547, 14892, 922, 3664, 609, 3908, 24787, 267, 543, 16018, 2724, 547, 2743, 519, 9276, 269, 3849, 3200, 1047, 618, 454, 763, 18678, 3235, 27036, 20292, 6392, 568, 519, 2874, 800, 538, 667, 612, 879, 282, 1247, 513, 5348, 617, 540, 476, 4375, 2818, 267, 11221, 585, 3670, 1296, 267, 7011, 956, 693, 5712, 547, 20982, 593, 4835, 6927, 15700, 519, 3919, 540, 519, 5939, 563, 3849, 6929, 15196, 660, 517, 7011, 956, 519, 32316, 543, 1463, 338, 621, 865, 6707, 602, 3025, 3238, 1590, 2671, 519, 22406, 7772, 540, 3257, 1945, 865, 1134, 563, 21595, 520, 3812, 513, 4320, 267, 2871, 518, 516, 964, 26811, 753, 267, 799, 7011, 956, 1034, 540, 519, 1634, 2963, 585, 519, 774, 571, 857, 534, 5859, 269, 0, 288, 2780, 1982, 568, 513, 1305, 540, 4808, 2854, 538, 513, 2982, 1893, 269, 634, 3301, 11338, 2882, 6054, 543, 824, 7493, 2694, 269, 589, 2780, 1982, 568, 513, 2596, 851, 540, 1082, 2780, 1949, 269, 1403, 596, 616, 711, 2386 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3719, 594, 1185, 2760, 2219, 827, 519, 3327, 11640, 540, 1148, 1354, 267, 543, 621, 2731, 3357, 547, 1250, 2247, 609, 519, 772, 273, 13447, 3126, 602, 3323, 693, 634, 1975, 1877, 538, 20098, 30988, 563, 763, 23877, 540, 519, 13447, 616, 5863, 269, 1809, 621, 1500, 803, 1589, 1586, 827, 519, 3327, 11640, 540, 1148, 269, 1924, 594, 4956, 547, 1205, 606, 3328, 2856, 540, 519, 3327, 5434, 540, 519, 772, 273, 13447, 689, 519, 2951, 540, 519, 28752, 563, 2691, 594, 3379, 713, 609, 519, 5993, 2910, 273, 5434, 540, 930, 1507, 2477, 267, 594, 1336, 602, 519, 5434, 689, 519, 772, 273, 13447, 7552, 941, 513, 2462, 1297, 269, 1280, 1383, 267, 585, 513, 1507, 2197, 609, 5993, 5434, 540, 1447, 982, 476, 276, 2929, 19726, 540, 2910, 273, 267, 519, 5434, 689, 519, 772, 273, 13447, 7552, 568, 827, 476, 273, 260, 630, 273, 269, 3066, 8472, 540, 602, 2197, 781, 5993, 5434, 563, 1607, 1500, 803, 29311, 602, 2462, 2621, 899, 30145, 849, 723, 513, 2462, 3327, 11640, 269, 898, 781, 711, 1175, 938, 3232, 2238, 602, 3565, 547, 3327, 5434, 267, 855, 849, 519, 1259, 649, 2972, 9913, 543, 519, 6575, 563, 8923, 948, 803, 2638, 952, 891, 9273, 616, 2953, 269, 594, 4126, 713, 786, 948, 803, 547, 1732, 1174, 519, 3327, 11640, 540, 519, 6575, 563, 9827, 267, 875, 666, 649, 267, 607, 6800, 540, 1148, 543, 9913, 267, 3565, 547, 4227, 519, 3327, 11640, 2404, 609, 891, 2621, 286, 594, 9364, 2648, 547, 5873, 707, 4555, 454, 8794, 606, 3642, 547, 5173, 543, 2328, 713, 2022, 267, 594, 1031, 713, 4542, 547, 7447, 519, 3327, 5434, 689, 7390, 2465, 2951, 2676, 13707, 2910, 273, 2506, 3827, 284, 10831, 540, 31698, 9943, 309, 523, 826, 27519, 9943, 263, 8110, 1417, 720, 674, 2391, 9943, 30182, 22947, 20028, 9943, 293, 2775, 2506, 3827, 16748, 266, 8110, 1417, 720, 32010, 9943, 30182, 32010, 20028, 9943, 7804, 1516, 2506, 3827, 16748, 266, 8110, 1417, 720, 645, 6748, 9943, 30182, 22084, 20028, 9943, 289, 639, 2506, 3827, 16748, 994, 268, 7089, 540, 30145, 281, 634, 2698, 1297, 540, 30145, 563, 268, 10469, 826, 27519, 281, 634, 1297, 540, 1004, 11504, 1142, 13447, 563, 268, 20587, 720, 10760, 267, 6117, 543, 1668, 281, 634, 8167, 540, 28752, 1210, 1142, 7154, 540, 3560, 563, 268, 19105, 3845, 281, 634, 3328, 3845, 24964, 676, 28752, 563, 268, 2506, 2153, 3815, 281, 634, 2179, 540, 2910, 273, 19501, 829, 9481, 516, 585, 1142, 7154, 540, 3560, 563, 4131, 781, 2322, 519, 2338, 1927, 912, 13233, 281, 476, 1839, 9943, 1704, 267, 4335, 9943, 263, 2412, 260, 270, 273, 264, 9943, 6110, 5998, 9943, 271, 269, 14028, 4846, 2910, 273, 270, 14790, 284, 279, 267, 280, 1839, 267, 1822, 4846, 454, 17220, 281, 476, 1839, 9943, 1704, 267, 4335, 9943, 263, 2412, 260, 270, 273, 264, 9943, 274, 267, 1822, 5998, 9943, 271, 269, 12893, 4846, 2910, 273, 270, 14790, 284, 2004, 267, 24374, 267, 4335, 4846, 454, 1839, 9943, 1704, 267, 4335, 9943, 2412, 260, 9943, 4968, 5998, 9943, 271, 269, 26951, 4846, 2910, 273, 270, 14790, 284, 5392, 267, 9610, 267, 1822, 4846, 2910, 273, 454, 1839, 9943, 1704, 267, 4335, 9943, 736, 260, 9943, 1220, 5998, 9943, 271, 269, 6187, 279, 4846, 2910, 273, 270, 14790, 284, 276, 267, 31405, 267, 1822, 4846, 2910, 273, 454, 13707, 2910, 273, 5434, 815, 476, 279, 267, 280, 1839, 267, 1822, 266, 2004, 267, 24374, 267, 4335, 266, 5392, 267, 9610, 267, 1822, 266, 276, 267, 31405, 267, 1822, 284, 14625, 267, 27628, 267, 4335, 4846, 2910, 273, 454, 4322, 9273, 616, 1759, 593, 25939, 543, 10054, 543, 4890, 5434, 949, 4268, 269, 589, 811, 4977, 2079, 1131, 2154, 2143, 1239, 593, 7390, 2465, 2951, 543, 3327, 15558, 1154, 676, 2680, 12438, 619, 269, 1717, 267, 713, 3635, 24259, 1769, 593, 519, 2825, 1764, 540, 2101, 2621, 543, 20217, 2417, 4901, 593, 3039, 9913, 563, 17806, 2854, 609, 519, 948, 540, 19208, 267, 1546, 324, 680, 2328, 543, 2592, 6383, 676, 1930, 691, 269, 2967, 454, 268, 2622, 18852, 29335, 910, 1071, 273, 15041, 3827, 8386, 28029, 787, 454, 268, 962, 19834, 281, 3406, 579, 273, 266, 331, 633, 266, 4944, 1877, 266, 20393, 266, 557, 326, 553, 0, 26872, 19881, 25594, 19314, 8170, 782, 670, 3326, 648, 595, 2643, 785, 619, 267, 4171, 700, 9975, 543, 519, 4144, 877, 512, 619, 540, 519, 28740, 543, 4934, 518, 19449, 3380, 3136, 519, 993, 324, 2838, 547, 13272, 1018, 786, 581, 519, 19024, 540, 519, 28740, 17781, 950, 519, 595, 2643, 5407, 568, 519, 16200, 652, 269, 13536, 1775, 22119, 22119, 344, 454, 7712, 519, 9588, 540, 519, 530, 334, 7708, 956, 616, 524, 684, 739, 842, 1858, 540, 519, 4396, 530, 864, 267, 13141, 3176, 1305, 1048, 646, 974, 535, 3720, 267, 786, 581, 519, 1482, 267, 627, 622, 8145, 14247, 6418, 5858, 267, 602, 568, 267, 1934, 568, 646, 993, 324, 29421, 7745, 267, 543, 538, 3765, 1121, 564, 646, 535, 1066, 1054, 27315, 1482, 269, 634, 4222, 1287, 606, 538, 569, 2367, 10138, 532, 3510, 540, 519, 8998, 540, 8904, 540, 646, 2025, 1586, 786, 4557, 754, 538, 646, 1747, 1141, 646, 544, 1638, 27468, 1558, 2736, 267, 610, 538, 519, 6073, 562, 513, 1276, 556, 1460, 652, 454, 529, 1855, 732, 518, 513, 454, 17357, 565, 269, 476, 272, 269, 9747, 2164, 713, 2653, 4052, 4070, 281, 7941, 519, 8006, 8028, 883, 1614, 3160, 2694, 267, 693, 519, 2798, 661, 267, 674, 6902, 16245, 519, 13902, 338, 661, 289, 267, 674, 291, 282, 543, 6443, 519, 2798, 645, 267, 667, 547, 519, 17119, 885, 540, 519, 8006, 281, 865, 4927, 13235, 291, 581, 519, 14328, 1439, 540, 519, 11237, 607, 2838, 269, 1280, 267, 1317, 589, 292, 267, 9474, 267, 8028, 616, 538, 4797, 605, 454, 15251, 630, 1492, 528, 269, 476, 9262, 2983, 558, 13776, 972, 325, 269, 589, 292, 281, 8028, 26012, 9474, 273, 281, 8028, 273, 282, 543, 538, 899, 6073, 19200, 281, 8028, 15311, 5084, 273, 281, 3600, 273, 282, 8754, 589, 292, 19200, 8028, 26012, 9474, 273, 281, 5084, 273, 281, 8028, 273, 6902, 282, 476, 272, 281, 476, 273, 281, 476, 274, 563, 17357, 565, 269, 476, 273, 269, 634, 12753, 540, 519, 1614, 536, 267, 546, 267, 667, 267, 1373, 607, 519, 1614, 476, 272, 267, 476, 273, 267, 476, 274, 267, 610, 607, 476, 272, 267, 476, 272, 262, 29300, 267, 476, 272, 6440, 278, 3953, 267, 616, 5176, 607, 519, 1614, 476, 276, 267, 476, 278, 267, 476, 10436, 267, 610, 811, 5176, 607, 476, 1321, 267, 476, 1704, 267, 476, 736, 262, 279, 563, 17357, 565, 269, 476, 274, 269, 589, 4009, 11237, 2759, 856, 540, 519, 1482, 12718, 267, 1131, 723, 922, 2427, 815, 291, 22230, 18414, 273, 269, 1656, 922, 4396, 640, 1131, 581, 547, 602, 540, 519, 16999, 11237, 267, 607, 667, 273, 547, 667, 273, 270, 273, 267, 610, 607, 476, 274, 547, 476, 2420, 267, 610, 607, 476, 274, 547, 476, 273, 269, 279, 2764, 282, 1247, 922, 4222, 1131, 581, 547, 602, 540, 519, 16999, 11237, 267, 607, 630, 291, 264, 3451, 547, 667, 311, 667, 273, 267, 610, 607, 20734, 273, 547, 476, 3451, 267, 610, 607, 476, 280, 270, 273, 547, 476, 279, 270, 274, 267, 610, 5176, 607, 476, 6200, 547, 476, 8099, 563, 17357, 565, 269, 476, 275, 269, 23657, 540, 891, 20832, 786, 11851, 519, 6574, 14694, 4222, 267, 950, 519, 15497, 540, 922, 1439, 568, 5116, 19794, 267, 676, 1148, 269, 476, 21857, 2019, 269, 476, 273, 563, 17357, 565, 269, 476, 276, 269, 634, 4222, 540, 519, 2898, 12718, 786, 581, 547, 602, 540, 519, 4009, 11237, 267, 950, 5116, 609, 922, 15497, 19794, 267, 607, 519, 1858, 540, 519, 5858, 547, 602, 540, 922, 27485, 4009, 269, 1280, 267, 519, 8998, 540, 519, 5858, 786, 581, 519, 8998, 540, 8904, 540, 1312, 20832, 267, 543, 568, 693, 519, 3845, 540, 519, 8953, 689, 519, 9803, 1448, 538, 1142, 540, 873, 282, 598, 572, 336, 269, 741, 9342, 786, 581, 607, 741, 2127, 267, 676, 1148, 269, 476, 25838, 2019, 269, 476, 273, 563, 2414, 3313, 519, 16338, 538, 519, 23848, 540, 513, 10222, 9771, 2142, 600, 267, 2687, 607, 621, 6013, 609, 519, 22750, 610, 609, 519, 25065, 17121, 5455, 2072, 4799, 1103, 519, 1482, 11237, 267, 519, 1858, 568, 519, 1482, 267, 543, 4061, 519, 4222, 666, 1152, 4268, 609, 519, 3845, 540, 519, 8998, 540, 8904, 689, 519, 5207, 610, 9803, 1448, 282, 855, 267, 538, 513, 6906, 267, 519, 3845, 540, 519, 8998, 540, 8904, 689, 606, 5086, 267, 568, 5595, 540, 922, 3845, 689, 519, 6587, 2427, 282, 4061, 519, 4222, 540, 519, 11237, 786, 581, 607, 476, 273, 547, 476, 272, 609, 519, 1114, 5011, 20733, 267, 896, 1114, 6381, 267, 642, 714, 267, 950, 519, 8998, 540, 8904, 568, 17439, 4554, 689, 519, 1747, 1141, 17795, 7475, 267, 676, 1148, 269, 476, 25838, 2019, 269, 476, 273, 282, 602, 568, 267, 609, 519, 5086, 20733, 950, 519, 11237, 568, 6462, 454, 26625, 9285, 693, 1312, 7475, 282, 855, 609, 519, 2427, 20733, 267, 950, 621, 568, 6462, 1152, 693, 835, 1439, 267, 630, 691, 269, 476, 21857, 2019, 269, 476, 273, 1070, 1317, 538, 519, 5449, 2013, 519, 11237, 9397, 1101, 2630, 267, 855, 519, 9258, 538, 519, 8545, 2013, 563, 11693, 519, 20099, 543, 13379, 540, 513, 595, 2643, 5407, 610, 2398, 1143, 267, 5116, 21222, 22667, 609, 835, 1439, 16119, 6378, 267, 543, 786, 1175, 1489, 513, 2016, 2597, 693, 519, 824, 1439, 1510, 8840, 282, 621, 568, 2838, 547, 1265, 519, 20099, 540, 513, 5381, 2398, 1143, 610, 595, 2643, 514, 3541, 799, 267, 950, 6462, 538, 899, 6073, 693, 835, 1439, 267, 4927, 1175, 7703, 1510, 8840, 1776, 2016, 2597, 693, 519, 5667, 6269, 9285, 1439, 563, 4131, 1315, 20301, 519, 3259, 540, 519, 2016, 12718, 610, 24388, 267, 546, 519, 8006, 610, 3178, 540, 922, 1439, 267, 530, 922, 2597, 267, 543, 579, 519, 2597, 16304, 693, 519, 5667, 6269, 9285, 1439, 282, 849, 1577, 519, 899, 1698, 8558, 700, 267, 667, 267, 530, 267, 579, 20301, 519, 7222, 1880, 338, 540, 519, 824, 24388, 610, 12718, 269, 3973, 267, 519, 12035, 540, 2147, 17571, 540, 519, 1482, 2339, 1373, 607, 519, 18695, 540, 741, 13080, 267, 607, 476, 274, 281, 1724, 15311, 32685, 267, 519, 2597, 540, 519, 24388, 4171, 3259, 568, 700, 269, 3767, 530, 331, 786, 581, 519, 2566, 593, 519, 1101, 11237, 676, 922, 1378, 2597, 530, 9117, 693, 922, 8998, 540, 8904, 267, 610, 693, 3368, 922, 3259, 282, 543, 561, 340, 519, 2566, 540, 519, 3773, 2597, 579, 693, 922, 17119, 640, 267, 741, 2040, 630, 342, 1341, 579, 264, 786, 4061, 581, 519, 2898, 2566, 593, 519, 2016, 11237, 538, 899, 6073, 519, 2898, 2566, 593, 519, 824, 11237, 267, 4171, 2597, 568, 530, 610, 530, 267, 786, 581, 630, 342, 266, 308, 264, 299, 610, 630, 342, 266, 308, 264, 299, 563, 3719, 519, 14694, 4222, 540, 519, 1101, 11237, 568, 547, 602, 540, 519, 2034, 267, 607, 546, 274, 547, 667, 274, 630, 691, 269, 476, 26727, 2019, 269, 476, 273, 1070, 610, 607, 476, 274, 547, 700, 274, 282, 543, 519, 9342, 543, 17613, 540, 519, 1079, 20832, 1590, 581, 538, 519, 1482, 5223, 267, 547, 2626, 519, 2175, 540, 519, 1966, 282, 4061, 607, 630, 587, 350, 342, 1341, 579, 264, 331, 281, 630, 1765, 270, 342, 1341, 308, 264, 299, 26012, 476, 1724, 281, 700, 274, 282, 713, 21658, 267, 5828, 883, 606, 3830, 267, 3947, 700, 274, 530, 266, 2190, 476, 12208, 1341, 476, 22659, 390, 488, 284, 271, 267, 513, 12945, 1226, 320, 454, 5406, 689, 799, 519, 1003, 1968, 1871, 540, 700, 949, 581, 3362, 5462, 267, 950, 1346, 540, 519, 824, 5022, 616, 1634, 563, 268, 6579, 273, 267, 610, 700, 21591, 342, 1341, 476, 273, 340, 454, 17357, 565, 269, 476, 272, 269, 1879, 579, 8709, 8460, 267, 519, 3830, 3947, 700, 274, 815, 476, 272, 267, 950, 576, 530, 281, 530, 1341, 273, 340, 281, 2433, 2433, 700, 267, 585, 519, 3259, 540, 519, 11237, 267, 799, 786, 855, 1175, 1489, 922, 1378, 2597, 563, 17357, 565, 269, 476, 273, 269, 1403, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1480, 2959, 269, 1452, 14107, 666, 3679, 1518, 543, 936, 10276, 5341, 3037, 543, 1216, 267, 7700, 547, 16678, 2030, 543, 5521, 32042, 267, 6757, 3473, 531, 18742, 267, 543, 2530, 540, 2249, 4763, 269, 4400, 3887, 4582, 566, 5054, 267, 899, 3794, 659, 1512, 779, 620, 18090, 12647, 267, 616, 6923, 1970, 538, 5567, 269, 4634, 1507, 5666, 540, 14107, 666, 7519, 741, 6213, 3666, 563, 763, 10661, 540, 519, 11162, 5794, 2920, 538, 476, 3192, 271, 267, 543, 922, 7766, 22853, 267, 568, 3743, 585, 1713, 20214, 538, 2011, 5533, 543, 6604, 540, 5533, 5829, 10108, 543, 7972, 936, 519, 2250, 476, 2412, 1296, 269, 7351, 2591, 519, 16501, 8188, 538, 2011, 5533, 5786, 1331, 9325, 5533, 267, 8511, 3154, 2360, 267, 6757, 4853, 14107, 267, 543, 17645, 1673, 1122, 15665, 6464, 563, 5970, 596, 2479, 8068, 2011, 5533, 1141, 596, 2661, 610, 12341, 602, 596, 4076, 14612, 888, 2414, 782, 519, 26734, 543, 533, 698, 753, 6031, 968, 17647, 513, 13755, 13933, 892, 585, 19077, 320, 270, 11764, 1067, 3752, 560, 823, 2483, 5978, 4541, 568, 3478, 1259, 1932, 3636, 267, 543, 621, 779, 689, 721, 3520, 1026, 569, 27830, 938, 2200, 543, 535, 31902, 909, 938, 2011, 269, 634, 14400, 3752, 560, 823, 568, 519, 13074, 1554, 540, 519, 1032, 267, 799, 1797, 519, 1034, 3108, 540, 7943, 538, 513, 1554, 538, 513, 4005, 602, 568, 1631, 4742, 15911, 543, 15911, 543, 585, 1082, 267, 519, 14400, 3752, 560, 823, 568, 513, 942, 540, 3665, 3595, 8594, 563, 16352, 513, 13755, 13933, 593, 519, 14400, 3752, 560, 823, 2731, 3884, 1406, 513, 1434, 2856, 950, 596, 2015, 519, 2413, 1533, 540, 519, 1158, 269, 594, 729, 6026, 547, 723, 513, 3595, 593, 19077, 320, 1932, 267, 855, 607, 594, 4076, 6410, 811, 2509, 1250, 524, 1258, 4520, 267, 621, 779, 1831, 2312, 547, 803, 602, 585, 1082, 24747, 14812, 267, 649, 2461, 556, 523, 716, 532, 9161, 3527, 1759, 593, 2250, 8658, 630, 2865, 569, 16545, 676, 721, 264, 543, 711, 2870, 12738, 1759, 593, 2413, 2115, 543, 2796, 563, 1432, 952, 649, 4769, 1406, 8661, 519, 3752, 560, 823, 609, 519, 1919, 602, 649, 723, 811, 982, 2614, 540, 630, 2775, 1299, 3002, 264, 693, 713, 942, 540, 1032, 286, 1215, 827, 26621, 782, 519, 2371, 543, 2831, 945, 6633, 547, 2669, 538, 4832, 11642, 286, 4208, 1810, 1406, 649, 8661, 938, 11212, 10475, 543, 546, 13388, 1782, 3761, 540, 4195, 1216, 950, 621, 779, 3905, 3544, 888, 2690, 1346, 540, 596, 945, 2661, 538, 6753, 1141, 4832, 6633, 536, 753, 4755, 1813, 547, 3595, 8594, 610, 4057, 2011, 2298, 267, 875, 798, 596, 7747, 19077, 320, 267, 519, 14400, 3752, 560, 823, 888, 1103, 3567, 267, 631, 1080, 889, 31381, 15861, 713, 3018, 602, 621, 26203, 1449, 1239, 547, 936, 8063, 519, 4492, 4398, 540, 476, 27698, 267, 1822, 6517, 543, 972, 616, 12194, 602, 811, 3631, 949, 581, 3238, 269, 6554, 8387, 986, 3660, 835, 540, 922, 13646, 593, 13628, 563, 763, 29317, 814, 530, 21317, 827, 476, 2412, 260, 1055, 631, 1080, 889, 31381, 779, 2344, 1871, 267, 2179, 532, 547, 9271, 540, 1269, 274, 269, 273, 16818, 936, 1614, 2395, 269, 634, 8843, 8593, 5176, 476, 1691, 260, 593, 11016, 267, 1739, 23229, 540, 476, 736, 260, 593, 13628, 267, 950, 789, 941, 17735, 267, 543, 476, 1428, 260, 593, 13723, 563, 2304, 4013, 693, 519, 2475, 2817, 23681, 29853, 8881, 10029, 5143, 1234, 26407, 602, 519, 26273, 1185, 4280, 631, 1080, 889, 31381, 585, 1344, 593, 6472, 4421, 538, 519, 2475, 563, 297, 4141, 681, 1495, 548, 267, 2212, 540, 9467, 693, 21180, 311, 13317, 267, 1767, 281, 968, 2026, 17191, 267, 519, 4636, 4777, 532, 5654, 899, 621, 4422, 1134, 3564, 966, 310, 269, 6145, 623, 18444, 3765, 5498, 29818, 676, 8492, 267, 713, 29317, 1223, 1267, 538, 3303, 16226, 3790, 585, 519, 2872, 607, 811, 1362, 3527, 1246, 269, 6787, 519, 32533, 693, 1022, 824, 10909, 568, 3833, 593, 519, 4336, 540, 966, 310, 568, 1776, 2339, 267, 855, 519, 3441, 547, 519, 2872, 779, 10639, 786, 711, 581, 3362, 6378, 3034, 30153, 2229, 8387, 1767, 631, 1080, 889, 31381, 1223, 581, 3743, 585, 32158, 2720, 532, 6800, 543, 519, 2229, 952, 13753, 9959, 602, 519, 6472, 941, 711, 607, 4492, 18026, 607, 10645, 563, 763, 3560, 14012, 267, 3223, 328, 24734, 1772, 327, 4512, 267, 5143, 513, 3377, 10554, 593, 11016, 281, 968, 1607, 568, 513, 3978, 1966, 602, 1223, 1291, 547, 519, 2530, 540, 3972, 538, 938, 2197, 779, 10081, 2872, 1848, 1261, 1767, 646, 4941, 631, 1080, 889, 31381, 547, 4983, 519, 7872, 540, 9140, 1394, 4299, 6517, 563, 763, 4835, 12602, 14012, 267, 5842, 2801, 570, 10440, 24734, 267, 1767, 519, 2229, 1131, 849, 2307, 519, 1286, 20447, 547, 2628, 585, 1022, 24307, 11292, 547, 6800, 952, 922, 6517, 616, 1336, 547, 3111, 4492, 4346, 4441, 267, 808, 25702, 3377, 8116, 4080, 563, 30153, 2923, 4080, 602, 631, 1080, 889, 31381, 1185, 11643, 22801, 13304, 720, 1239, 593, 922, 1775, 5336, 328, 14110, 3167, 1286, 267, 799, 568, 849, 4421, 18246, 269, 634, 5892, 31889, 3631, 4171, 4492, 4346, 13220, 631, 1080, 889, 31381, 814, 15861, 547, 22392, 616, 1152, 4421, 538, 3567, 1107, 2185, 540, 922, 9910, 2275, 1513, 267, 1079, 540, 799, 621, 14475, 585, 715, 1170, 534, 563, 10817, 903, 5225, 2628, 3007, 547, 713, 269, 901, 568, 513, 1360, 3978, 3390, 269, 12344, 519, 1034, 3978, 3390, 538, 27597, 543, 594, 1745, 1100, 835, 12909, 827, 621, 269, 5125, 568, 4058, 593, 7333, 940, 17088, 4492, 538, 519, 2104, 543, 594, 1745, 621, 1131, 581, 519, 1655, 3070, 585, 27597, 779, 2011, 5533, 1966, 607, 1134, 563, 8923, 2322, 2604, 593, 519, 2229, 547, 1118, 513, 17088, 4492, 7333, 269, 594, 917, 519, 616, 18348, 267, 855, 1256, 789, 1223, 4324, 689, 2973, 2011, 865, 621, 949, 711, 581, 7543, 547, 22321, 873, 269, 0, 347, 7197, 2487, 594, 10621, 5464, 4879, 2008, 347, 17413, 540, 4879, 1475, 1320, 805, 6060, 630, 12304, 675, 10534, 30812, 819, 6060, 630, 8063, 10534, 288, 794, 6060, 630, 24978, 10245, 347, 2690, 811, 1344, 827, 594, 10621, 5464, 5225, 4945, 1934, 2008, 763, 3135, 13408, 22586, 30917, 267, 524, 269, 1911, 544, 538, 4463, 267, 602, 12701, 585, 5176, 476, 272, 5998, 2059, 513, 7522, 27905, 5087, 540, 2142, 2988, 1794, 541, 383, 377, 269, 2107, 577, 1841, 616, 1336, 2059, 519, 5757, 563, 763, 1858, 568, 1271, 585, 29384, 5991, 20535, 2249, 563, 289, 2273, 16908, 4139, 630, 1001, 280, 264, 12830, 16819, 19791, 5013, 18694, 281, 918, 3305, 597, 9503, 269, 8281, 539, 689, 5291, 2517, 4178, 12500, 2273, 5158, 3820, 593, 476, 2420, 270, 1015, 270, 1001, 280, 269, 0, 29261, 540, 1762, 1453, 991, 547, 8362, 4383, 543, 1852, 7641, 13156, 538, 519, 1753, 269, 5753, 991, 513, 3099, 540, 2238, 585, 2635, 1646, 543, 8613, 666, 581, 513, 1187, 543, 3872, 851, 540, 513, 1126, 779, 3232, 6296, 267, 952, 7307, 5265, 563, 306, 7964, 2923, 849, 3565, 547, 519, 4070, 540, 27828, 538, 4207, 2486, 563, 1103, 922, 1353, 540, 27828, 543, 5026, 2923, 267, 519, 1382, 1895, 5753, 3767, 1336, 602, 1034, 5010, 338, 9859, 547, 5256, 13588, 4043, 547, 2011, 1282, 5026, 5752, 269, 6468, 10355, 2408, 538, 891, 5010, 338, 267, 543, 950, 789, 798, 267, 789, 2461, 3622, 17814, 538, 32616, 673, 2081, 563, 18131, 4648, 543, 9845, 3136, 547, 581, 896, 3146, 335, 18677, 538, 3377, 3795, 267, 543, 616, 1419, 32616, 1227, 17814, 950, 789, 616, 3769, 563, 5591, 835, 1131, 20912, 602, 519, 2527, 2923, 568, 2462, 1870, 269, 4340, 547, 519, 1977, 18289, 16514, 5948, 267, 21035, 8874, 4805, 15504, 538, 1269, 1015, 5479, 538, 476, 1001, 272, 267, 543, 602, 3085, 1406, 1331, 519, 10519, 532, 543, 9513, 540, 23861, 338, 269, 476, 1717, 267, 2923, 26933, 8044, 602, 519, 9297, 540, 519, 2872, 1118, 621, 7543, 547, 2057, 11475, 540, 2021, 563, 5938, 7697, 568, 835, 540, 519, 1034, 11342, 2923, 7506, 538, 3214, 685, 2729, 269, 4340, 547, 519, 476, 1001, 272, 15765, 13245, 8866, 7797, 9315, 593, 8447, 11314, 585, 5753, 543, 15272, 267, 8225, 6107, 6502, 476, 277, 268, 866, 3328, 827, 3670, 3108, 540, 5496, 942, 829, 1554, 267, 609, 7641, 3292, 630, 342, 520, 3481, 593, 513, 3099, 540, 1114, 13819, 264, 8051, 585, 1454, 540, 713, 942, 269, 3097, 300, 4215, 5208, 814, 1044, 3144, 909, 607, 513, 1857, 3609, 3390, 676, 513, 1297, 540, 5375, 2477, 269, 6239, 547, 519, 7521, 814, 1044, 519, 4161, 540, 8383, 908, 1018, 949, 2408, 547, 581, 15852, 3741, 9789, 4027, 540, 1453, 689, 5667, 340, 3386, 2923, 1543, 543, 30176, 519, 1318, 547, 5191, 540, 4082, 563, 2467, 779, 1713, 2963, 602, 2923, 2069, 666, 4831, 32601, 2923, 11269, 540, 2367, 779, 543, 2021, 779, 4703, 269, 1280, 1383, 267, 513, 476, 1001, 271, 1353, 1336, 602, 6029, 519, 3381, 12472, 630, 6518, 729, 2813, 676, 667, 913, 547, 1397, 875, 2923, 2592, 540, 2021, 616, 26203, 264, 3648, 4389, 2942, 2360, 593, 6015, 543, 1560, 9547, 540, 1762, 6690, 950, 789, 6743, 693, 5961, 540, 16600, 6253, 514, 3631, 19952, 563, 763, 3381, 3014, 5823, 568, 519, 16595, 3395, 9913, 2872, 543, 2034, 1152, 547, 2575, 538, 20656, 269, 6820, 6455, 540, 3381, 3014, 3301, 5734, 3592, 1269, 1704, 5479, 772, 2529, 269, 538, 476, 1001, 272, 269, 3097, 25324, 976, 609, 9124, 1522, 1655, 581, 4330, 267, 538, 519, 2923, 693, 2547, 267, 607, 606, 15865, 12102, 281, 1498, 513, 1804, 10126, 540, 519, 2551, 814, 513, 2168, 610, 2790, 9659, 789, 723, 1044, 3592, 7357, 15534, 689, 519, 2527, 2923, 2394, 2487, 1296, 269, 5047, 267, 950, 7606, 609, 9124, 2408, 789, 3592, 2141, 798, 865, 538, 32616, 539, 5107, 269, 0, 6524, 8840, 909, 585, 519, 3368, 3856, 14812, 267, 1082, 540, 5729, 476, 275, 13984, 519, 5993, 6206, 8609, 476, 273, 19343, 1167, 334, 1141, 972, 941, 930, 28869, 344, 24853, 543, 26881, 880, 7544, 7575, 593, 1397, 269, 6875, 513, 1413, 693, 930, 540, 519, 11147, 689, 519, 10543, 1107, 1810, 1406, 5855, 1107, 649, 4465, 1406, 11116, 2336, 4002, 13628, 476, 1240, 628, 5437, 267, 5729, 476, 275, 267, 2059, 609, 1453, 689, 513, 1297, 540, 824, 3506, 267, 3576, 851, 538, 513, 2575, 2680, 1572, 2048, 290, 571, 5414, 1290, 1842, 619, 685, 693, 654, 1023, 718, 16011, 8065, 269, 5753, 19927, 875, 547, 1404, 513, 4062, 540, 2575, 543, 5340, 2059, 609, 513, 3318, 32316, 1572, 634, 2296, 19270, 1068, 2107, 3832, 14259, 269, 901, 729, 513, 1390, 9740, 607, 5729, 476, 275, 616, 1152, 1175, 4098, 547, 1451, 875, 547, 1404, 741, 21567, 7405, 563, 1607, 3018, 267, 5729, 476, 275, 723, 1044, 3257, 930, 5140, 960, 1759, 593, 1840, 269, 1284, 723, 1044, 1210, 6241, 2409, 547, 4163, 856, 1840, 9273, 609, 543, 1510, 15646, 5446, 269, 1284, 723, 849, 1044, 1210, 1747, 1871, 27669, 267, 3490, 4557, 2326, 267, 5961, 543, 11673, 547, 1397, 938, 1620, 269, 7490, 1491, 513, 1413, 693, 930, 540, 938, 2324, 856, 563, 1103, 5729, 476, 275, 267, 649, 723, 1044, 1565, 827, 1272, 1282, 2622, 2782, 476, 273, 267, 1519, 1018, 1004, 1705, 547, 2149, 2933, 1282, 2011, 986, 1749, 269, 769, 18027, 267, 5729, 476, 275, 723, 1044, 6947, 547, 3280, 24056, 971, 607, 519, 11788, 10579, 3026, 6807, 25679, 331, 664, 3045, 23395, 602, 2112, 1185, 13175, 282, 3280, 2360, 540, 17177, 828, 14742, 543, 23038, 1011, 5317, 543, 4992, 540, 1004, 538, 2011, 986, 573, 24181, 563, 763, 1362, 723, 1287, 1044, 1210, 1560, 5322, 267, 13514, 543, 11132, 7215, 547, 957, 856, 606, 2011, 986, 573, 6429, 538, 1931, 547, 1711, 513, 1895, 7544, 269, 634, 3527, 723, 3769, 281, 32232, 547, 519, 3377, 602, 519, 2197, 568, 693, 2112, 282, 6217, 606, 2011, 986, 573, 521, 790, 333, 282, 1178, 25290, 741, 3154, 9633, 282, 1818, 741, 1259, 883, 741, 12062, 282, 6947, 547, 519, 3280, 540, 23038, 543, 7836, 513, 3781, 3330, 519, 12062, 563, 2080, 616, 930, 540, 938, 13514, 543, 5322, 865, 2484, 563, 4692, 596, 960, 856, 1018, 568, 8345, 538, 1142, 4605, 286, 0, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 2171, 10093, 1405, 1336, 1022, 8039, 538, 519, 8912, 4025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 288, 2487, 2376, 676, 6723, 3933, 321, 3999, 6941, 835, 540, 519, 1761, 29298, 540, 11651, 1154, 9274, 883, 4492, 269, 8729, 547, 3665, 4365, 1472, 519, 8608, 912, 892, 2507, 10472, 568, 849, 513, 1032, 540, 1426, 17211, 267, 538, 799, 649, 786, 8532, 630, 4029, 2929, 9748, 264, 811, 10286, 982, 6705, 3812, 269, 1403, 476, 1001, 274, 12664, 338, 7556, 1281, 711, 3715, 513, 1007, 1158, 2594, 267, 519, 4057, 616, 538, 3978, 8373, 3034, 14367, 1292, 1448, 568, 602, 7064, 547, 513, 3395, 3747, 585, 1426, 9141, 676, 606, 2810, 2551, 543, 5355, 4441, 540, 2713, 267, 2059, 609, 519, 7503, 540, 9274, 883, 4492, 267, 519, 1158, 814, 547, 2736, 7556, 5638, 1169, 1032, 547, 1832, 909, 269, 8729, 547, 10286, 14425, 267, 8103, 666, 4365, 1296, 602, 1810, 1406, 2736, 5638, 267, 855, 17528, 547, 2736, 5638, 585, 1079, 610, 1614, 1296, 538, 513, 4737, 1797, 14000, 585, 7366, 540, 6634, 1317, 519, 3902, 540, 1426, 786, 21782, 607, 1179, 22399, 31194, 593, 519, 1249, 602, 1970, 3761, 3448, 547, 3747, 1226, 919, 547, 2362, 5777, 269, 1403, 4365, 26037, 1831, 811, 543, 811, 1455, 267, 519, 12918, 540, 4881, 856, 540, 14425, 3587, 811, 543, 811, 2693, 269, 630, 8450, 811, 281, 11068, 13523, 667, 3754, 267, 6599, 12935, 267, 1299, 24997, 23556, 9208, 994, 2005, 568, 519, 12605, 540, 1919, 899, 2527, 27781, 602, 948, 2061, 1919, 899, 2527, 27781, 269, 901, 1582, 5991, 1638, 4328, 12402, 568, 1946, 513, 2603, 540, 11236, 3111, 547, 1570, 1125, 269, 22695, 1681, 519, 12605, 540, 7372, 6808, 795, 4461, 1813, 547, 4155, 4070, 1223, 1611, 602, 596, 616, 519, 1152, 835, 593, 519, 4155, 1317, 3025, 3116, 646, 17660, 519, 12605, 267, 610, 621, 1223, 1611, 602, 596, 616, 12758, 538, 7470, 6674, 1317, 596, 941, 711, 4805, 538, 24937, 621, 269, 0, 4462, 1664, 6396, 1280, 9484, 541, 908, 15089, 641, 14895, 454, 763, 6771, 267, 23918, 267, 543, 9668, 540, 20543, 616, 1883, 3157, 538, 1979, 17190, 267, 17550, 267, 14278, 1108, 267, 543, 2326, 9443, 269, 589, 2487, 1353, 3370, 538, 3163, 25790, 6799, 513, 2189, 1505, 585, 19459, 20543, 1210, 513, 4481, 2966, 10178, 11057, 17974, 3926, 563, 19138, 281, 8682, 14194, 28922, 5691, 2890, 577, 14128, 585, 6024, 23918, 543, 9668, 540, 20543, 269, 12005, 15894, 281, 1535, 19810, 270, 4537, 13616, 18450, 2593, 454, 301, 534, 641, 14895, 616, 835, 540, 519, 1034, 21503, 3584, 538, 2326, 9443, 543, 4702, 267, 609, 3156, 538, 519, 3114, 267, 16392, 267, 9804, 267, 543, 5122, 9922, 269, 9603, 547, 741, 3982, 6211, 2238, 543, 4162, 267, 536, 542, 534, 641, 14895, 971, 607, 608, 22199, 267, 8290, 267, 543, 29414, 5738, 2873, 630, 14110, 338, 264, 723, 6591, 8101, 1382, 1719, 1282, 519, 2063, 8717, 563, 763, 9668, 540, 20543, 267, 538, 1840, 547, 741, 22729, 543, 23918, 267, 568, 513, 4909, 10421, 585, 1082, 540, 741, 3156, 269, 1280, 3236, 267, 7833, 20543, 616, 23163, 607, 6646, 19057, 1813, 547, 741, 17890, 1973, 10009, 546, 15342, 267, 6466, 20543, 609, 3376, 2450, 24980, 666, 723, 796, 656, 4602, 730, 5739, 2360, 563, 19859, 22381, 573, 545, 20905, 585, 9484, 9653, 540, 15089, 641, 14895, 454, 24092, 2553, 585, 519, 19288, 543, 9668, 540, 20543, 1331, 1631, 5860, 13506, 10868, 267, 2450, 17181, 24885, 2762, 267, 543, 9245, 19003, 269, 1717, 267, 891, 13557, 2553, 1419, 991, 513, 5934, 3732, 4320, 267, 17021, 873, 538, 1952, 997, 762, 585, 2189, 2564, 610, 6211, 15013, 563, 2005, 814, 5892, 1044, 3964, 602, 20538, 2890, 22381, 573, 545, 3457, 616, 3730, 7405, 585, 519, 23918, 543, 9668, 540, 20543, 267, 3226, 538, 1507, 31891, 15013, 269, 9603, 547, 891, 3157, 262, 26483, 1970, 32083, 2338, 267, 513, 4630, 18100, 3196, 2361, 543, 3586, 2095, 2175, 616, 12873, 2429, 519, 9668, 5123, 267, 3850, 585, 5140, 4398, 563, 19859, 22381, 573, 545, 1949, 616, 3622, 6353, 607, 12809, 267, 799, 2308, 16931, 658, 12862, 547, 14771, 17735, 20543, 693, 1880, 4025, 538, 519, 8756, 267, 610, 3742, 267, 799, 2308, 5007, 12503, 547, 1847, 5536, 2663, 958, 547, 741, 11466, 2798, 563, 29936, 23105, 609, 5843, 22381, 573, 545, 20905, 454, 8601, 519, 1713, 1761, 267, 1100, 20749, 14323, 2890, 22381, 573, 545, 3457, 585, 519, 23918, 543, 9668, 540, 20543, 616, 27057, 2139, 269, 5843, 22381, 573, 545, 3457, 4867, 1031, 616, 1932, 1804, 547, 4383, 5536, 1447, 982, 476, 1911, 6289, 18852, 538, 2450, 563, 5629, 519, 28634, 2450, 568, 22485, 547, 519, 1016, 6193, 668, 13011, 4336, 267, 8749, 4229, 3361, 676, 5714, 5163, 3335, 20441, 9325, 10688, 269, 1306, 513, 1267, 267, 22392, 20543, 609, 608, 27238, 4294, 3196, 4610, 3587, 5393, 4101, 563, 11101, 267, 3384, 513, 834, 821, 20695, 1922, 1080, 22433, 257, 2890, 22381, 573, 545, 3926, 585, 19459, 20543, 540, 8795, 7306, 568, 1869, 16609, 269, 645, 542, 534, 641, 14895, 616, 4749, 11402, 538, 7294, 10659, 609, 1114, 28772, 12950, 4162, 269, 901, 20427, 9673, 1206, 519, 946, 540, 2890, 22381, 573, 545, 1949, 585, 22392, 543, 19459, 20543, 563, 10907, 24065, 1993, 1663, 573, 923, 281, 589, 23397, 13979, 585, 9484, 9653, 540, 15089, 641, 14895, 454, 1103, 713, 2796, 267, 513, 2189, 1505, 585, 19459, 20543, 602, 568, 27031, 540, 3309, 5686, 543, 9830, 540, 2326, 1247, 8497, 5665, 4398, 568, 2712, 326, 1836, 2838, 563, 10907, 24065, 1993, 1663, 573, 923, 267, 519, 4999, 540, 1035, 24065, 923, 609, 2890, 22381, 573, 923, 267, 568, 835, 2009, 1505, 585, 8236, 713, 3804, 563, 1103, 713, 1353, 267, 519, 3173, 1459, 513, 2189, 1035, 24065, 1993, 1663, 573, 923, 4480, 585, 13754, 1944, 543, 19459, 20543, 1210, 513, 4481, 3710, 10178, 11057, 17974, 3926, 269, 589, 5691, 8756, 568, 2813, 676, 513, 5311, 540, 6806, 543, 5532, 2890, 642, 677, 1182, 19430, 676, 606, 16600, 14683, 23151, 13557, 17974, 5951, 630, 308, 295, 293, 22601, 310, 264, 543, 28653, 676, 2890, 22381, 573, 923, 563, 10303, 519, 8756, 568, 5691, 543, 972, 568, 1100, 4890, 2655, 4450, 267, 25518, 543, 17560, 14835, 3441, 3361, 676, 4396, 3334, 971, 607, 12086, 610, 22225, 616, 17515, 269, 634, 1164, 18286, 18343, 2890, 642, 677, 1182, 1711, 8101, 8749, 4229, 267, 29000, 519, 9668, 540, 20543, 563, 7659, 28454, 540, 519, 5530, 454, 763, 6098, 20543, 1223, 581, 3927, 8659, 3330, 519, 5691, 8756, 543, 14593, 2417, 676, 519, 14694, 10009, 269, 634, 10058, 19089, 4908, 543, 3926, 12122, 6854, 519, 7077, 540, 519, 521, 4577, 642, 677, 1182, 13902, 547, 519, 14694, 2095, 267, 7393, 519, 2519, 2702, 540, 519, 8756, 563, 763, 6422, 11466, 1063, 9325, 17066, 543, 17974, 4229, 729, 5097, 3743, 585, 519, 2500, 9668, 540, 20543, 269, 1677, 3082, 547, 4657, 3732, 12531, 267, 519, 5691, 8756, 781, 6418, 8006, 1223, 581, 7494, 9168, 1210, 519, 17974, 4610, 563, 763, 6051, 6871, 540, 519, 476, 5611, 5991, 332, 267, 476, 1220, 5991, 332, 267, 543, 476, 4968, 5991, 332, 4874, 560, 344, 16867, 20543, 538, 28634, 2519, 15178, 23918, 941, 476, 7918, 269, 276, 267, 476, 5952, 269, 277, 267, 543, 476, 10844, 269, 277, 2600, 267, 6606, 269, 1677, 1449, 519, 2949, 1062, 2773, 543, 11118, 24899, 6312, 2225, 267, 608, 22199, 4130, 982, 476, 5611, 6289, 18852, 941, 6707, 9678, 689, 11919, 563, 17780, 593, 891, 4681, 267, 621, 568, 2922, 547, 2303, 602, 519, 1582, 14194, 28922, 2890, 577, 14128, 2919, 538, 713, 1353, 2488, 513, 3209, 543, 8471, 4640, 585, 519, 23918, 543, 9668, 540, 20543, 563, 312, 836, 267, 962, 269, 1696, 620, 269, 630, 1708, 273, 1040, 8682, 14194, 28922, 5691, 2890, 577, 14128, 585, 6024, 23918, 543, 9668, 540, 20543, 269, 3163, 25790, 269, 12232, 693, 281, 4179, 2517, 4178, 4732, 7220, 3820, 270, 8742, 270, 1015, 269, 12208, 277, 4882, 857, 611, 341, 269, 629, 333, 279, 4510, 271, 454, 8923, 946, 835, 540, 519, 1739, 12043, 547, 13712, 713, 2376, 538, 707, 1557, 267, 1957, 610, 1867, 912, 25105, 4364, 267, 670, 1380, 664, 269, 630, 1708, 273, 267, 4864, 476, 6021, 1040, 23433, 6396, 1280, 9484, 541, 908, 15089, 641, 14895, 269, 589, 313, 334, 301, 8457, 269, 8158, 593, 5239, 476, 6187, 267, 476, 1708, 273, 689, 4179, 2517, 4178, 269, 7571, 8457, 2593, 30406, 269, 5684, 343, 286, 18080, 2839, 284, 4375, 276, 3953, 563, 25105, 4364, 267, 670, 1380, 664, 269, 834, 4462, 1664, 6396, 1280, 9484, 541, 908, 15089, 641, 14895, 2668, 589, 313, 334, 301, 8457, 269, 476, 6187, 5239, 476, 1708, 273, 269, 2999, 10059, 2517, 4178, 269, 7571, 8457, 2593, 30406, 269, 5684, 343, 286, 18080, 2839, 284, 4375, 276, 3953, 285, 563, 25105, 4364, 267, 670, 1380, 664, 269, 834, 4462, 1664, 6396, 1280, 9484, 541, 908, 15089, 641, 14895, 2668, 589, 313, 334, 301, 8457, 269, 4179, 2517, 4178, 269, 7571, 8457, 2593, 30406, 269, 5684, 343, 286, 18080, 2839, 284, 4375, 276, 3953, 269, 630, 17739, 539, 5239, 476, 6187, 267, 476, 1708, 273, 1916, 25105, 4364, 267, 670, 1380, 664, 269, 476, 1708, 273, 269, 23433, 6396, 1280, 9484, 541, 908, 15089, 641, 14895, 269, 589, 313, 334, 301, 8457, 267, 9763, 476, 6187, 5239, 476, 1708, 273, 267, 4179, 2517, 4178, 269, 7571, 8457, 2593, 30406, 269, 5684, 343, 286, 18080, 2839, 284, 4375, 276, 3953, 269, 0, 294, 2940, 3797, 568, 606, 4244, 2126, 585, 4719, 5761, 3676, 267, 2523, 1395, 8328, 4713, 971, 607, 2166, 10973, 27470, 269, 8307, 513, 1507, 1297, 540, 3742, 5444, 3797, 10321, 991, 547, 3914, 741, 3077, 2281, 547, 3132, 606, 6454, 538, 18435, 5761, 2068, 267, 855, 519, 6574, 4161, 568, 547, 1265, 606, 4998, 6152, 2111, 547, 5838, 519, 3552, 15178, 2166, 10973, 27470, 18993, 19830, 2033, 2932, 766, 26273, 630, 290, 10499, 305, 264, 5444, 547, 21572, 25853, 2281, 269, 1677, 4266, 267, 519, 3908, 12117, 540, 5444, 4483, 10321, 543, 3063, 268, 543, 12499, 268, 14978, 7496, 723, 15286, 519, 1646, 540, 513, 5444, 3797, 2861, 2126, 585, 18435, 563, 303, 1042, 11395, 569, 1031, 538, 519, 21722, 2395, 540, 18435, 5444, 3797, 267, 20722, 21552, 2861, 6152, 814, 1044, 24482, 14460, 538, 519, 2063, 8717, 1813, 547, 922, 4057, 1098, 9134, 4398, 538, 1480, 21572, 25853, 2281, 543, 547, 922, 556, 14194, 3439, 1674, 17418, 269, 1306, 1761, 8925, 267, 20722, 334, 23938, 3644, 630, 8150, 309, 264, 543, 21378, 643, 6400, 2861, 10321, 941, 12290, 269, 1717, 267, 2417, 1239, 616, 2877, 547, 6218, 741, 23250, 269, 2201, 519, 1875, 8686, 12637, 2427, 267, 6252, 960, 814, 1044, 1500, 3823, 519, 19862, 540, 824, 10321, 630, 322, 566, 545, 9067, 22199, 1916, 2414, 11282, 5444, 3797, 1382, 519, 5177, 7261, 10973, 17316, 15727, 22319, 10657, 3117, 24832, 729, 8547, 538, 476, 1220, 272, 543, 513, 10872, 814, 1044, 2919, 609, 1079, 2472, 630, 310, 1511, 476, 272, 1759, 1472, 9067, 23865, 5444, 4483, 267, 543, 23027, 476, 273, 5059, 593, 513, 3209, 3644, 1040, 769, 519, 1101, 851, 2550, 941, 19801, 538, 4873, 476, 1001, 273, 609, 2164, 1100, 344, 2943, 2139, 630, 30265, 17641, 667, 298, 267, 476, 1001, 275, 1916, 303, 1066, 7614, 5444, 3797, 568, 513, 1761, 4244, 547, 5444, 4483, 547, 4628, 2919, 5761, 630, 298, 525, 342, 8643, 590, 294, 267, 476, 1001, 273, 264, 543, 840, 12641, 25766, 2090, 786, 15983, 4324, 689, 3209, 3662, 3631, 267, 971, 607, 18435, 14918, 543, 7542, 28905, 630, 302, 752, 1633, 631, 267, 476, 1001, 273, 1916, 25748, 630, 289, 13370, 7304, 592, 663, 715, 267, 476, 1001, 274, 264, 814, 1044, 5492, 515, 7458, 602, 595, 10499, 305, 2173, 11748, 13816, 1254, 1223, 581, 513, 3209, 4244, 585, 5444, 3797, 547, 11177, 15176, 595, 10499, 305, 1599, 269, 589, 5123, 25592, 4791, 4693, 729, 16516, 630, 25857, 580, 715, 267, 476, 1001, 276, 1916, 1103, 476, 1001, 274, 5576, 342, 1678, 717, 267, 476, 1001, 274, 1696, 620, 269, 3370, 1239, 593, 32073, 14727, 553, 280, 11646, 11049, 1062, 547, 2953, 519, 595, 10499, 305, 30580, 676, 4630, 27881, 21921, 1588, 538, 31796, 15499, 6565, 2281, 540, 18435, 2550, 269, 634, 22621, 27446, 8507, 6829, 543, 4628, 6198, 607, 6027, 538, 804, 517, 958, 9450, 1418, 6950, 269, 901, 1353, 3177, 6169, 540, 1523, 585, 5444, 15494, 676, 4630, 27881, 21921, 1588, 538, 3119, 2937, 6565, 2281, 6508 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 3765, 5632, 2320, 730, 269, 3371, 568, 606, 1383, 780, 2162, 7151, 281, 4201, 665, 528, 22366, 4578, 692, 2252, 707, 1239, 10451, 1184, 568, 1313, 665, 528, 22366, 267, 1287, 9193, 540, 3044, 11539, 786, 581, 4636, 269, 901, 568, 1317, 1313, 665, 528, 22366, 3157, 4043, 547, 3132, 811, 3665, 2418, 982, 7363, 7856, 3157, 269, 901, 568, 1813, 547, 1007, 2418, 1373, 8200, 593, 3105, 2418, 267, 3126, 602, 616, 2907, 2484, 689, 519, 1611, 616, 2693, 547, 3251, 2484, 689, 519, 1611, 269, 1677, 2638, 713, 649, 3513, 5352, 930, 1313, 665, 528, 22366, 1239, 2687, 547, 519, 1739, 1184, 780, 2330, 311, 4671, 815, 1422, 9064, 2473, 3709, 339, 268, 272, 348, 1341, 1422, 22668, 2330, 11377, 22668, 1422, 13678, 1422, 24837, 346, 301, 12917, 271, 267, 272, 14638, 7531, 1103, 1109, 314, 1724, 28660, 3698, 5352, 318, 2246, 665, 528, 22366, 12774, 263, 9064, 267, 18665, 267, 29178, 267, 715, 2187, 258, 19461, 1125, 519, 5044, 454, 311, 815, 5286, 25910, 9230, 301, 267, 476, 272, 11723, 1721, 512, 538, 2039, 263, 272, 267, 715, 2187, 258, 2473, 4671, 815, 23940, 2608, 2473, 3709, 339, 268, 272, 348, 1341, 552, 27432, 454, 311, 314, 339, 316, 815, 23940, 2608, 2473, 314, 339, 268, 272, 316, 1341, 5286, 20179, 269, 7538, 9852, 340, 267, 29178, 994, 8873, 2473, 692, 311, 815, 5352, 318, 2246, 665, 528, 22366, 12774, 263, 271, 269, 276, 267, 476, 271, 267, 476, 272, 267, 476, 1911, 2020, 10823, 19502, 11583, 11850, 10823, 11859, 16932, 3488, 339, 10807, 3248, 10823, 269, 29786, 3488, 311, 314, 339, 316, 262, 5148, 19638, 7531, 2005, 7140, 856, 602, 585, 3677, 3732, 7306, 267, 596, 1058, 1294, 519, 3732, 1611, 29297, 582, 1227, 27721, 547, 4642, 269, 901, 568, 1317, 519, 1184, 568, 1869, 10704, 1472, 4642, 267, 855, 1577, 781, 2638, 952, 602, 781, 3020, 269, 1284, 3513, 4268, 519, 1297, 540, 5439, 6537, 267, 543, 1413, 585, 19427, 607, 649, 2333, 3732, 2450, 563, 7531, 1103, 1109, 314, 1691, 28660, 338, 2217, 318, 1889, 753, 815, 5286, 25910, 263, 1220, 268, 272, 994, 1721, 1775, 538, 2039, 263, 272, 267, 476, 1220, 2187, 311, 815, 5352, 318, 2246, 665, 528, 22366, 12774, 263, 271, 269, 276, 267, 476, 271, 267, 476, 272, 267, 1775, 2608, 476, 1015, 994, 338, 2217, 318, 1889, 753, 5157, 268, 272, 316, 815, 5286, 32557, 11583, 2020, 10823, 269, 8663, 263, 9792, 263, 272, 267, 476, 1220, 1070, 3732, 318, 1889, 753, 11850, 10823, 11859, 16932, 3488, 25456, 12025, 10807, 3248, 10823, 269, 29786, 3488, 25456, 6399, 262, 5148, 19638, 7531, 9377, 17802, 5654, 899, 972, 781, 930, 19427, 267, 649, 666, 849, 2638, 1018, 519, 1611, 540, 519, 3732, 1797, 568, 563, 7531, 1103, 1109, 314, 1428, 28660, 12639, 32557, 4433, 2217, 318, 1889, 753, 2020, 7531, 11073, 314, 1428, 28660, 268, 271, 269, 25484, 6872, 272, 4200, 277, 1708, 9032, 277, 5038, 278, 279, 19638, 303, 4958, 1399, 2673, 547, 4642, 269, 1284, 1223, 849, 17589, 3090, 1227, 602, 519, 1611, 568, 4642, 267, 855, 1577, 781, 8263, 602, 649, 4312, 18617, 6000, 609, 519, 2241, 10686, 531, 2079, 269, 3767, 602, 649, 917, 519, 2551, 1611, 267, 649, 666, 2638, 519, 23363, 540, 6015, 11996, 269, 3689, 649, 3513, 2328, 1079, 25961, 3252, 799, 12337, 513, 14255, 633, 8884, 585, 930, 3403, 1239, 267, 543, 2638, 2436, 519, 8884, 3568, 519, 3020, 1611, 267, 476, 271, 563, 7531, 1103, 1109, 314, 1626, 28660, 307, 815, 7003, 11583, 994, 258, 30770, 18665, 543, 29178, 631, 4041, 454, 14153, 815, 5286, 32557, 11583, 994, 18406, 815, 5286, 14714, 323, 11583, 994, 10345, 815, 29178, 1315, 5286, 28460, 24867, 994, 258, 30770, 519, 23451, 454, 8873, 28135, 8542, 768, 269, 5793, 1998, 263, 271, 269, 4817, 267, 1327, 284, 14153, 267, 4336, 284, 10345, 2020, 258, 1284, 3513, 1118, 513, 1599, 602, 7024, 3020, 950, 519, 17223, 23451, 2270, 476, 271, 454, 258, 6744, 547, 1118, 2386, 561, 10922, 476, 271, 10922, 579, 454, 604, 561, 10922, 476, 271, 543, 579, 13843, 476, 271, 912, 8873, 6936, 454, 12828, 912, 8873, 8771, 19638, 3086, 649, 3513, 2196, 1082, 8062, 267, 538, 1142, 649, 3513, 3732, 930, 1239, 267, 12337, 513, 6015, 8884, 267, 543, 1287, 2638, 952, 519, 6015, 8884, 3568, 519, 2551, 1611, 269, 1284, 3513, 1832, 513, 4881, 512, 958, 267, 543, 649, 1058, 2503, 547, 1294, 476, 4817, 260, 540, 519, 8062, 8011, 952, 519, 11996, 616, 26215, 730, 7157, 563, 7531, 1103, 1109, 314, 1704, 28660, 307, 815, 476, 1911, 454, 339, 7434, 338, 815, 476, 4335, 454, 9392, 6831, 8091, 815, 476, 271, 454, 1721, 1775, 538, 2039, 6025, 7434, 338, 2187, 311, 815, 5352, 318, 2246, 665, 528, 22366, 12774, 263, 271, 269, 276, 267, 476, 271, 267, 476, 272, 267, 570, 994, 9392, 6831, 8091, 6834, 476, 272, 692, 2745, 1412, 10387, 2869, 673, 15147, 720, 281, 22207, 2053, 6831, 8091, 270, 15615, 6025, 7434, 338, 994, 2745, 1412, 2750, 4624, 15147, 720, 281, 22207, 476, 271, 269, 4817, 692, 7531, 10387, 2869, 673, 15147, 720, 281, 476, 476, 271, 269, 278, 3953, 454, 2750, 4624, 15147, 720, 281, 476, 476, 271, 269, 4817, 19638, 28733, 569, 519, 3795, 568, 4636, 269, 769, 713, 2013, 649, 9364, 991, 547, 798, 1018, 781, 1634, 607, 513, 3026, 28838, 8862, 652, 15494, 593, 938, 3044, 5470, 7447, 547, 2272, 585, 519, 1313, 665, 528, 21975, 269, 769, 2259, 621, 781, 1271, 547, 2638, 585, 519, 10054, 596, 1118, 269, 898, 568, 2656, 543, 2653, 547, 2638, 952, 707, 1239, 616, 19335, 630, 6518, 10522, 711, 1313, 665, 528, 22366, 1070, 543, 621, 666, 4688, 596, 513, 2603, 540, 1928, 543, 7092, 547, 798, 865, 269, 589, 2343, 1275, 1449, 971, 607, 808, 541, 4302, 645, 5028, 786, 849, 581, 513, 1434, 2856, 267, 607, 621, 949, 3713, 1978, 3892, 3601, 799, 949, 29875, 10054, 540, 1082, 1739, 8579, 9382, 780, 1607, 6881, 568, 585, 21141, 5301, 1152, 543, 1281, 711, 13822, 606, 2709, 547, 6133, 267, 513, 1151, 545, 2787, 547, 4444, 267, 610, 513, 16252, 585, 1022, 3354, 282, 6862, 1281, 621, 13822, 606, 2709, 547, 1683, 5092, 28007, 610, 824, 2533, 676, 10829, 26508, 267, 5549, 269, 9497, 23797, 26508, 20257, 23875, 8659, 23954, 13054, 5092, 5796, 610, 3091, 1022, 6644, 609, 2463, 547, 519, 29839, 540, 1022, 3354, 267, 543, 1022, 5784, 6829, 23954, 1058, 711, 581, 3144, 607, 5796, 547, 4444, 267, 6133, 267, 610, 3180, 1022, 3354, 610, 607, 606, 23596, 618, 540, 1022, 3354, 610, 2754, 269, 769, 8600, 519, 1344, 8659, 23954, 267, 10829, 26508, 267, 5549, 269, 814, 711, 3144, 883, 2272, 519, 5092, 2115, 267, 6859, 267, 543, 2883, 6381, 540, 1022, 1880, 20090, 269, 7102, 5784, 6829, 543, 1239, 11609, 23954, 941, 5423, 1759, 2390, 1344, 267, 5156, 547, 581, 6325, 267, 2139, 547, 10829, 26508, 267, 5549, 269, 693, 519, 942, 540, 8313, 269, 10829, 26508, 2306, 1100, 18715, 607, 547, 741, 6111, 610, 1264, 28467, 269, 2353, 1344, 568, 1641, 547, 1689, 543, 949, 3533, 1831, 31877, 585, 1585, 4128, 267, 1519, 2242, 538, 2344, 2175, 610, 2804, 6381, 269, 0, 1001, 275, 7537, 290, 476, 279, 10819, 270, 19370, 476, 276, 692, 19370, 692, 300, 1173, 773, 781, 1286, 666, 979, 1269, 3953, 259, 5195, 593, 513, 20645, 540, 3154, 267, 543, 3154, 4867, 3790, 1422, 2330, 275, 259, 829, 20645, 269, 1215, 1082, 5195, 666, 12540, 773, 5397, 593, 4399, 3667, 323, 20683, 476, 736, 259, 4502, 540, 3154, 2496, 7445, 3667, 8578, 18950, 288, 264, 7684, 5038, 315, 29911, 20728, 8578, 18950, 289, 264, 7684, 12553, 315, 29911, 20728, 8578, 18950, 290, 264, 7684, 8182, 315, 29911, 20728, 8578, 18950, 291, 264, 7684, 17168, 315, 29911, 1422, 3667, 8578, 18950, 292, 264, 7684, 25953, 6911, 11405, 692, 300, 1173, 773, 666, 6488, 1269, 736, 270, 275, 284, 276, 259, 17529, 540, 3154, 269, 2701, 666, 979, 1269, 3953, 24206, 276, 7807, 7901, 539, 346, 8182, 4151, 5195, 593, 713, 2179, 540, 3154, 269, 0, 258, 2052, 513, 6824, 581, 513, 7787, 1297, 26042, 1103, 713, 3184, 649, 786, 2119, 547, 2626, 519, 2243, 267, 968, 952, 6824, 666, 581, 513, 7787, 1297, 26042, 2252, 9811, 267, 1287, 519, 1985, 2243, 14340, 9232, 568, 1169, 6824, 513, 7787, 1297, 7790, 968, 780, 2414, 1174, 519, 7778, 267, 596, 1058, 723, 2596, 1620, 540, 519, 1523, 540, 8454, 543, 7787, 2338, 780, 4131, 721, 1101, 2689, 519, 1312, 519, 1657, 2035, 780, 1012, 1548, 616, 8454, 26042, 763, 1297, 799, 723, 1312, 6746, 2209, 543, 32159, 616, 1572, 6824, 780, 763, 6824, 4564, 519, 851, 540, 2898, 1297, 780, 763, 2338, 1422, 4118, 1777, 3189, 2765, 346, 272, 2410, 276, 348, 2073, 315, 1422, 2765, 346, 273, 2410, 1015, 348, 2073, 315, 1422, 2765, 346, 274, 2410, 273, 3686, 616, 782, 1806, 540, 8454, 780, 9616, 602, 8454, 798, 711, 4125, 2942, 2338, 780, 2252, 596, 1616, 547, 1451, 827, 8454, 538, 1469, 267, 4945, 519, 2699, 3095, 780, 1012, 1548, 616, 21929, 10606, 26042, 763, 2338, 799, 666, 581, 6829, 538, 519, 1106, 540, 623, 1315, 1627, 616, 1572, 7787, 2338, 780, 2080, 1312, 623, 1299, 1627, 616, 9981, 780, 301, 13246, 899, 1422, 4118, 1777, 3189, 2765, 346, 274, 2410, 273, 348, 2073, 315, 1422, 2765, 346, 1428, 2410, 1704, 348, 2073, 315, 476, 277, 269, 4281, 12101, 476, 278, 269, 1724, 348, 616, 1806, 540, 7787, 2338, 780, 2252, 596, 1616, 547, 1353, 827, 7787, 2338, 538, 1469, 267, 4945, 519, 2699, 3095, 780, 1012, 2052, 513, 6824, 581, 513, 7787, 1297, 26042, 1103, 1249, 782, 519, 2009, 8454, 616, 851, 540, 7787, 2338, 780, 7712, 519, 8454, 616, 2907, 11231, 538, 519, 1106, 540, 623, 1315, 1627, 267, 621, 779, 8446, 607, 513, 7787, 1297, 568, 513, 1100, 2634, 518, 780, 2690, 1383, 3248, 13706, 519, 6824, 1422, 4118, 1777, 3189, 2765, 346, 278, 2410, 1556, 3686, 692, 7712, 519, 6824, 476, 278, 1315, 476, 1556, 568, 538, 1106, 540, 623, 270, 304, 267, 621, 568, 513, 7787, 1297, 780, 3719, 519, 6587, 568, 711, 519, 2013, 780, 8253, 1169, 7787, 1297, 568, 513, 6824, 780, 2690, 1383, 3248, 13706, 519, 7787, 1297, 1422, 4118, 1777, 3189, 2765, 24877, 274, 2410, 276, 3686, 692, 2080, 519, 1297, 1422, 4118, 1777, 3189, 2765, 24877, 274, 2410, 276, 3686, 568, 711, 513, 6824, 2094, 621, 3568, 2942, 1297, 538, 19362, 780, 7078, 476, 6349, 454, 13706, 519, 7787, 1297, 476, 277, 692, 763, 1297, 476, 277, 568, 711, 513, 6824, 607, 621, 3085, 1406, 723, 19362, 543, 14009, 780, 6962, 454, 5472, 8454, 616, 7787, 1297, 269, 1809, 711, 782, 7787, 2338, 616, 6824, 269, 0, 31580, 4083, 1234, 10360, 281, 14572, 21153, 8017, 609, 2290, 24438, 543, 3281, 895, 29941, 454, 288, 269, 32389, 29062, 454, 272, 269, 3436, 1797, 834, 529, 3152, 982, 4840, 273, 269, 2999, 1797, 834, 529, 1447, 982, 4840, 274, 269, 21759, 1797, 834, 529, 3152, 982, 610, 3160, 547, 4840, 275, 269, 18016, 1797, 834, 529, 1447, 982, 610, 3160, 547, 4840, 289, 269, 17778, 585, 14572, 21153, 8017, 609, 2290, 24438, 454, 272, 269, 9524, 519, 2733, 5737, 3959, 593, 1142, 2427, 563, 273, 269, 28799, 899, 2474, 593, 1142, 2427, 563, 274, 269, 5410, 610, 10208, 547, 1205, 519, 4756, 2474, 593, 519, 1482, 2427, 269, 630, 306, 728, 540, 519, 4102, 11664, 8094, 275, 269, 5410, 610, 10208, 547, 1847, 519, 1297, 2165, 547, 519, 6587, 2427, 540, 519, 4756, 2165, 563, 276, 269, 25092, 610, 7941, 547, 1847, 519, 11664, 563, 1892, 1403, 596, 9062, 610, 7941, 1312, 5011, 540, 606, 8635, 676, 513, 2942, 1297, 267, 519, 8635, 3090, 2242, 8846, 563, 14300, 912, 1535, 910, 476, 279, 2999, 476, 1428, 454, 476, 275, 344, 1341, 476, 274, 3436, 476, 278, 454, 476, 1724, 910, 476, 278, 333, 18016, 910, 279, 454, 476, 274, 343, 21759, 476, 1556, 343, 1341, 476, 275, 454, 290, 269, 17778, 585, 8641, 532, 519, 10298, 547, 21153, 8017, 609, 2290, 24438, 454, 1262, 5269, 2386, 519, 4756, 568, 593, 519, 700, 9128, 307, 538, 782, 3435, 563, 272, 269, 589, 3070, 609, 3436, 912, 1892, 8641, 606, 1930, 5858, 593, 519, 1297, 269, 630, 763, 1297, 568, 711, 851, 540, 519, 3070, 8094, 1892, 589, 4158, 3046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1145, 543, 804, 4923, 612, 2223, 3081, 15535, 22216, 339, 758, 267, 8689, 540, 7328, 6530, 693, 519, 8447, 6925, 543, 29407, 4741, 538, 1715, 14948, 269, 968, 10481, 2762, 543, 16133, 616, 30661, 540, 875, 21380, 4664, 666, 581, 267, 543, 713, 949, 14377, 883, 606, 18942, 1604, 1932, 1848, 6178, 909, 585, 645, 1731, 1090, 267, 9061, 293, 527, 267, 8095, 267, 610, 2098, 3518, 320, 267, 543, 596, 1223, 1265, 3054, 1765, 326, 5684, 256, 1765, 8243, 4979, 693, 519, 15547, 7064, 547, 707, 15032, 563, 310, 23808, 7459, 267, 971, 607, 16003, 6703, 267, 1569, 547, 4824, 543, 2922, 1216, 3761, 267, 543, 1688, 11067, 616, 2404, 609, 4824, 6484, 543, 1072, 540, 3003, 2950, 630, 1724, 267, 476, 1691, 267, 476, 10219, 1700, 12553, 1040, 1280, 2021, 543, 15730, 6690, 267, 654, 23808, 7459, 941, 2404, 609, 4824, 18492, 9882, 630, 14695, 1070, 4389, 13165, 543, 15499, 21431, 5563, 630, 12553, 1700, 14530, 1070, 543, 4389, 14774, 9019, 630, 15171, 1040, 6468, 543, 1762, 6690, 616, 849, 811, 4299, 676, 519, 2168, 543, 942, 24675, 540, 10655, 1216, 630, 14695, 1070, 543, 18275, 543, 5208, 2404, 609, 16283, 543, 22247, 16003, 6703, 630, 15836, 267, 476, 16328, 1040, 1849, 29141, 1216, 2798, 543, 19455, 6703, 552, 1078, 891, 575, 25311, 24675, 630, 14695, 267, 476, 13670, 1040, 654, 23808, 7459, 543, 9228, 1216, 8244, 941, 2404, 609, 1447, 942, 6170, 593, 1216, 5829, 26050, 267, 543, 4824, 1153, 20343, 267, 2021, 781, 16882, 267, 543, 1582, 12635, 630, 14695, 267, 476, 13670, 267, 476, 15793, 1916, 8170, 519, 1906, 2090, 10442, 6484, 2069, 7459, 585, 2021, 543, 15730, 6690, 945, 941, 14968, 543, 17324, 267, 1082, 941, 968, 325, 659, 1006, 2861, 892, 543, 3238, 6765, 5867, 971, 607, 1072, 19190, 630, 1724, 267, 476, 2420, 1070, 1568, 2572, 630, 1789, 1070, 543, 3506, 630, 2918, 267, 476, 2767, 267, 476, 3066, 1040, 24822, 5867, 13389, 2021, 543, 10708, 945, 941, 896, 333, 712, 1639, 13974, 3238, 9744, 2861, 5468, 630, 1724, 1070, 855, 849, 3769, 2146, 23793, 630, 1626, 267, 476, 2764, 1070, 1753, 11564, 267, 2146, 6539, 29353, 630, 1428, 267, 476, 2764, 1070, 543, 1257, 20261, 5867, 630, 3953, 1040, 6270, 2146, 2861, 5867, 1223, 1683, 3606, 3255, 585, 519, 6765, 540, 6484, 2069, 7459, 5466, 14968, 267, 8377, 267, 543, 2404, 1875, 10919, 27809, 2068, 538, 519, 2104, 563, 306, 15036, 3116, 547, 3314, 281, 606, 6059, 476, 3445, 547, 476, 4817, 2600, 540, 2732, 619, 945, 6336, 2597, 22919, 782, 610, 851, 540, 621, 1369, 2947, 1296, 267, 543, 519, 4539, 666, 581, 1256, 8338, 982, 3274, 1373, 14968, 269, 8409, 945, 3635, 5781, 607, 851, 540, 513, 2597, 2530, 2732, 543, 5826, 1982, 616, 811, 2693, 547, 1832, 519, 2597, 1055, 269, 4746, 4063, 602, 606, 22350, 25516, 2732, 666, 1291, 547, 811, 31952, 11661, 267, 513, 2067, 5114, 547, 1426, 22975, 563, 13775, 4557, 2053, 829, 1032, 267, 6468, 781, 2657, 12139, 568, 513, 30856, 8313, 5059, 593, 519, 1072, 267, 8516, 267, 6484, 267, 543, 19824, 540, 2021, 269, 2060, 513, 10009, 540, 476, 272, 269, 276, 2929, 3988, 267, 596, 3513, 581, 538, 1434, 2754, 609, 513, 20478, 547, 713, 3811, 12139, 3370, 676, 14339, 1446, 269, 3245, 3382, 547, 3382, 267, 1142, 3390, 786, 1683, 596, 609, 4388, 593, 5355, 1169, 2460, 540, 707, 1272, 563, 6524, 596, 18609, 3054, 602, 596, 2461, 1932, 11112, 547, 1199, 5573, 267, 2015, 713, 281, 968, 29002, 25019, 547, 707, 3232, 8516, 6296, 666, 581, 513, 2629, 851, 540, 1560, 7004, 2223, 3081, 4460, 17384, 267, 13653, 540, 4460, 17384, 24524, 538, 12924, 290, 269, 4855, 2947, 547, 476, 1015, 3764, 2899, 610, 7466, 513, 1554, 547, 1445, 593, 707, 7362, 267, 646, 5267, 269, 968, 21982, 519, 942, 547, 798, 713, 666, 948, 707, 1560, 543, 2634, 632, 3613, 816, 543, 9156, 1732, 689, 782, 707, 2182, 960, 693, 519, 15547, 543, 519, 5604, 3034, 3682, 12888, 1058, 1683, 827, 476, 1428, 260, 540, 513, 2635, 1268, 781, 3232, 8477, 269, 1306, 513, 4341, 540, 14853, 267, 1004, 540, 1312, 28486, 543, 1022, 2450, 786, 798, 5386, 609, 827, 476, 2568, 10101, 540, 3940, 513, 1554, 269, 26465, 525, 945, 723, 1804, 6091, 543, 960, 856, 2182, 949, 991, 476, 736, 260, 811, 269, 1809, 1256, 602, 781, 711, 1360, 1454, 282, 476, 279, 13728, 540, 9269, 610, 476, 277, 13728, 540, 27574, 27966, 267, 585, 1383, 267, 786, 3514, 519, 3915, 269, 0, 2690, 1932, 1082, 540, 938, 1453, 267, 11504, 1153, 666, 581, 513, 31029, 1995, 269, 1656, 585, 3237, 267, 3610, 267, 24784, 267, 543, 16984, 267, 3246, 513, 2922, 1604, 585, 1762, 1004, 666, 3100, 899, 513, 18447, 4305, 267, 2523, 950, 7231, 609, 519, 3390, 540, 875, 547, 1118, 711, 1152, 13460, 267, 855, 782, 1153, 6703, 267, 811, 22205, 585, 24139, 267, 14447, 267, 25251, 267, 543, 19574, 1053, 563, 26524, 827, 19574, 2152, 267, 4008, 3961, 267, 543, 28006, 5749, 1406, 1175, 585, 3214, 543, 1762, 4079, 269, 20661, 723, 7899, 540, 2055, 827, 1346, 2152, 267, 543, 1896, 811, 16310, 281, 875, 1655, 547, 948, 513, 1126, 945, 779, 15819, 741, 4008, 267, 875, 547, 948, 513, 3659, 610, 1920, 4759, 538, 5912, 267, 875, 547, 581, 513, 1434, 3659, 610, 24343, 267, 610, 875, 547, 6330, 519, 1082, 1950, 3656, 2152, 602, 3295, 1373, 19574, 563, 1607, 568, 519, 8772, 540, 2947, 5022, 649, 3513, 581, 4687, 713, 3018, 607, 851, 540, 938, 960, 609, 634, 14175, 11312, 16707, 267, 606, 11036, 547, 5352, 7067, 543, 6568, 1472, 519, 1888, 540, 11806, 1920, 998, 519, 1148, 540, 4484, 2914, 3876, 269, 20323, 2966, 547, 2333, 15287, 585, 1453, 543, 4079, 609, 11806, 3237, 267, 634, 14175, 11312, 16707, 568, 1631, 9750, 922, 5304, 543, 10912, 585, 5022, 2854, 676, 4896, 945, 568, 610, 814, 1920, 2818, 945, 616, 11806, 269, 1284, 1413, 4464, 547, 4687, 835, 4484, 609, 596, 1142, 1554, 713, 3018, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5135, 5790, 607, 519, 5114, 1587, 267, 543, 1287, 17285, 7601, 1131, 581, 1528, 992, 517, 689, 7476, 12313, 454, 16987, 14939, 1382, 538, 30450, 540, 7601, 321, 8960, 4429, 307, 601, 281, 1341, 279, 8618, 4375, 278, 29204, 279, 5392, 271, 282, 19478, 2232, 281, 1496, 16942, 6870, 316, 2098, 295, 20315, 808, 773, 1696, 620, 21885, 1382, 538, 30450, 540, 7601, 321, 8960, 2766, 902, 8476, 676, 476, 4200, 2087, 519, 4398, 540, 2527, 4483, 269, 634, 4540, 3382, 540, 5536, 267, 1354, 519, 6547, 610, 3977, 540, 2560, 7476, 12313, 454, 263, 14457, 264, 21019, 22120, 689, 30423, 2766, 902, 1210, 5916, 4429, 14457, 1923, 2201, 4455, 476, 272, 267, 476, 1001, 279, 267, 30715, 724, 7699, 962, 514, 543, 1866, 3370, 21019, 22120, 689, 30423, 2766, 902, 1210, 5916, 30450, 540, 20342, 3070, 543, 22279, 4551, 7476, 12313, 0, 288, 4686, 3109, 11002, 3626, 814, 5747, 1282, 513, 8184, 689, 513, 3703, 2470, 15395, 547, 25157, 1141, 646, 729, 1813, 547, 581, 5950, 883, 519, 3552, 563, 763, 476, 1704, 4458, 6040, 267, 2098, 600, 2041, 17844, 267, 729, 1373, 2095, 333, 476, 278, 267, 1822, 5195, 547, 519, 590, 699, 978, 564, 328, 689, 519, 5800, 700, 2096, 335, 928, 1760, 926, 6288, 538, 13573, 538, 519, 4126, 646, 1131, 9742, 563, 313, 600, 2041, 17844, 729, 835, 540, 513, 1297, 540, 3109, 11002, 16394, 689, 3864, 18186, 657, 1373, 2366, 547, 4000, 607, 851, 540, 513, 5726, 1788, 547, 5818, 519, 9691, 13155, 2551, 267, 799, 1631, 2338, 1472, 476, 276, 267, 7785, 563, 763, 476, 1704, 4458, 6040, 267, 2098, 600, 2041, 17844, 630, 335, 1112, 3293, 1070, 729, 1373, 2095, 333, 476, 278, 267, 1822, 5195, 547, 519, 590, 699, 978, 564, 328, 689, 519, 5800, 700, 2096, 335, 928, 1760, 926, 6288, 538, 13573, 454, 3891, 729, 896, 519, 1416, 540, 519, 1920, 24507, 1306, 11017, 718, 7690, 267, 799, 8255, 1079, 1760, 926, 11614, 538, 6628, 543, 814, 26823, 3022, 547, 2132, 27604, 2831, 547, 519, 3552, 563, 2005, 29846, 519, 3375, 547, 1847, 519, 11002, 3626, 267, 6031, 476, 866, 723, 1044, 2366, 689, 2342, 676, 2011, 538, 519, 2250, 1906, 1296, 269, 30626, 12456, 1014, 1306, 11017, 718, 1767, 621, 568, 711, 2943, 2312, 1018, 3366, 547, 2098, 600, 2041, 17844, 779, 2669, 855, 606, 7634, 1131, 581, 5645, 856, 547, 1294, 2048, 604, 972, 616, 4245, 547, 581, 4121, 17483, 3891, 3773, 281, 2048, 12024, 3025, 693, 519, 1306, 11017, 718, 7690, 267, 594, 993, 28280, 543, 10969, 730, 676, 519, 2530, 19028, 313, 600, 2041, 17844, 779, 3460, 689, 13573, 547, 25157, 729, 1373, 13006, 676, 519, 5748, 593, 1514, 2923, 269, 7353, 21106, 4951, 1864, 1373, 5116, 538, 513, 16887, 9112, 4496, 543, 11308, 4216, 693, 519, 6288, 267, 9141, 676, 561, 13446, 547, 10370, 9536, 23076, 538, 13573, 267, 543, 24850, 883, 513, 4357, 7098, 6955, 2033, 563, 763, 5748, 1185, 13006, 1010, 3460, 593, 1514, 2923, 267, 20171, 11147, 540, 2098, 600, 2041, 17844, 1373, 16041, 883, 513, 1835, 622, 543, 5116, 593, 4604, 519, 7077, 454, 313, 600, 2041, 17844, 729, 896, 519, 1416, 540, 519, 1920, 24507, 1306, 11017, 718, 7690, 267, 799, 8255, 1079, 1760, 926, 11614, 538, 6628, 543, 814, 26823, 3022, 547, 2132, 27604, 2831, 547, 519, 3552, 454, 763, 2063, 2022, 1767, 646, 1185, 1044, 9108, 16041, 267, 4946, 2048, 314, 933, 316, 3112, 7227, 547, 1294, 1864, 1491, 1010, 1101, 3268, 538, 25157, 9957, 2098, 600, 2041, 17844, 729, 10483, 676, 513, 1183, 4177, 689, 519, 5748, 267, 513, 17022, 543, 513, 2319, 689, 25157, 779, 717, 5300, 564, 328, 8750, 15944, 563, 29820, 538, 24811, 693, 519, 6288, 538, 476, 1220, 273, 267, 646, 521, 1600, 835, 28419, 693, 5800, 700, 2096, 335, 928, 543, 1079, 811, 950, 646, 729, 6410, 547, 11078, 6288, 1215, 2280, 1206, 267, 2282, 2052, 26248, 267, 538, 476, 1001, 274, 267, 1354, 13059, 547, 1010, 3312, 1753, 538, 476, 1001, 277, 563, 763, 1306, 11017, 718, 7690, 1767, 621, 814, 6707, 16487, 5216, 3109, 11002, 16394, 267, 799, 3366, 547, 476, 1428, 1608, 1407, 538, 519, 3552, 538, 476, 2190, 1296, 269, 2048, 763, 960, 540, 938, 5748, 538, 9960, 9691, 13155, 2249, 543, 13059, 607, 1082, 607, 2009, 547, 6870, 2127, 786, 3136, 16224, 6004, 1306, 11017, 718, 1767, 563, 8072, 14454, 267, 649, 723, 1044, 5458, 569, 3811, 269, 898, 568, 1250, 6109, 3661, 602, 891, 2831, 798, 711, 4866, 538, 24811, 10200, 0, 10267, 330, 519, 932, 2335, 1564, 454, 1692, 4892, 3194, 543, 1548, 621, 31283, 585, 2659, 6355, 454, 16485, 5616, 875, 4892, 2932, 1382, 267, 543, 621, 786, 2132, 513, 627, 25891, 476, 31134, 2929, 4267, 269, 2334, 779, 811, 982, 835, 2626, 585, 1142, 1977, 563, 22091, 2400, 16306, 267, 16314, 267, 2816, 7575, 267, 9541, 267, 2852, 5542, 267, 543, 824, 2462, 3664, 2356, 4125, 1382, 269, 7316, 798, 1004, 538, 519, 772, 2529, 269, 2490, 585, 5796, 593, 1818, 741, 1271, 3664, 286, 634, 623, 1168, 3194, 4741, 5063, 5340, 606, 3573, 1353, 593, 713, 1641, 269, 623, 1168, 568, 3810, 9833, 585, 922, 6662, 1857, 6644, 1135, 3149, 543, 1239, 12454, 1514, 2257, 1382, 563, 763, 2164, 616, 1287, 3838, 547, 948, 10625, 3466, 543, 547, 948, 1489, 3280, 3375, 1818, 269, 3502, 1279, 3516, 267, 789, 11943, 513, 1353, 1210, 476, 1015, 267, 12739, 772, 2529, 269, 4079, 607, 851, 540, 513, 1788, 593, 3972, 543, 1382, 269, 634, 2164, 540, 519, 1353, 666, 581, 1360, 3730, 607, 513, 4493, 547, 3391, 1870, 6725, 267, 2123, 32107, 267, 543, 6455, 540, 782, 2010, 563, 2005, 2501, 607, 1100, 9983, 602, 513, 5354, 540, 1004, 5531, 1344, 2933, 1510, 16126, 593, 1866, 269, 589, 2407, 476, 10037, 260, 2161, 789, 968, 4777, 741, 1378, 1382, 892, 607, 741, 3119, 2707, 585, 1818, 2101, 1272, 3664, 269, 901, 568, 2282, 7466, 519, 6871, 602, 2161, 789, 7048, 8185, 593, 1920, 543, 2828, 267, 476, 6246, 10065, 634, 5619, 20114, 602, 1152, 476, 4029, 260, 2490, 547, 968, 2889, 325, 11970, 1023, 892, 610, 968, 23024, 1206, 1848, 589, 1507, 6824, 2698, 532, 476, 1428, 260, 540, 519, 5619, 1895, 1767, 789, 7048, 968, 320, 2370, 892, 593, 741, 1378, 1382, 563, 8170, 519, 5916, 476, 9834, 260, 540, 17013, 602, 1767, 789, 7048, 593, 741, 1378, 1382, 547, 930, 4110, 267, 789, 941, 1287, 4280, 547, 5581, 1018, 621, 568, 789, 798, 547, 5531, 11967, 1344, 269, 1879, 16460, 713, 1930, 25804, 2243, 267, 789, 11855, 1082, 28503, 734, 789, 3335, 3323, 609, 519, 4950, 269, 1717, 267, 519, 4950, 729, 711, 519, 581, 22433, 15134, 22433, 585, 2123, 1382, 269, 15788, 267, 476, 5379, 260, 6045, 789, 2490, 547, 2228, 2959, 267, 1247, 476, 1839, 260, 1767, 789, 8179, 5796, 689, 1866, 789, 917, 269, 23225, 518, 1869, 16941, 593, 1991, 2069, 267, 4553, 676, 1820, 2923, 267, 543, 3909, 610, 15859, 633, 3375, 6194, 269, 1306, 519, 20718, 7194, 17538, 267, 621, 568, 1455, 585, 1004, 547, 946, 2789, 1797, 547, 3442, 513, 1576, 540, 2962, 563, 763, 1875, 2173, 738, 2118, 3903, 6114, 3769, 15143, 547, 519, 5399, 267, 5717, 609, 2828, 543, 1920, 267, 543, 998, 1004, 609, 6209, 1995, 269, 2368, 540, 519, 17013, 6045, 602, 789, 666, 1265, 4966, 789, 3972, 2228, 269, 7324, 1346, 1210, 2228, 1382, 267, 972, 941, 930, 602, 1131, 711, 1118, 513, 6718, 610, 1256, 979, 856, 547, 3548, 547, 513, 1007, 13962, 1510, 1101, 2542, 513, 2689, 269, 769, 1249, 267, 476, 7176, 260, 540, 17013, 1767, 6075, 8039, 543, 16863, 1500, 873, 1745, 968, 320, 2370, 2223, 547, 968, 320, 2603, 2223, 811, 6899, 827, 513, 6718, 563, 8139, 519, 1379, 540, 513, 2689, 610, 12773, 2337, 1004, 3442, 707, 1870, 936, 4244, 4213, 269, 4634, 3549, 602, 1205, 606, 968, 320, 2071, 892, 2689, 1058, 5431, 602, 713, 1223, 1930, 707, 2754, 547, 513, 2362, 1377, 540, 7156, 676, 476, 7176, 260, 540, 1346, 3168, 269, 717, 8724, 3972, 4249, 513, 1883, 1909, 538, 4213, 543, 519, 2472, 789, 6133, 269, 5004, 1058, 1118, 2386, 789, 616, 3257, 782, 789, 666, 547, 4383, 4724, 713, 4641, 269, 0, 14722, 538, 1546, 327, 2784, 684, 5063, 12006, 602, 519, 22260, 538, 31881, 330, 574, 616, 13621, 693, 513, 5488, 2557, 982, 538, 1964, 540, 22615, 28569, 269, 634, 5530, 634, 3744, 693, 654, 611, 807, 4659, 540, 22615, 18885, 30578, 630, 310, 296, 295, 294, 1070, 1546, 327, 2784, 684, 6594, 476, 2537, 22260, 538, 31881, 330, 574, 269, 1358, 6594, 519, 1198, 540, 2916, 1689, 593, 891, 22260, 1282, 519, 1974, 540, 476, 1960, 272, 547, 476, 1001, 276, 269, 18679, 20458, 1689, 281, 717, 298, 267, 7351, 16457, 267, 5999, 267, 2558, 14746, 543, 5240, 454, 4407, 7234, 827, 519, 2962, 1544, 547, 2232, 519, 8801, 1764, 540, 2916, 1689, 593, 1426, 7031, 267, 538, 519, 14076, 5984, 17939, 3873, 267, 519, 715, 2975, 6938, 11036, 540, 15096, 2752, 729, 12006, 269, 6168, 715, 2975, 6938, 715, 2975, 6938, 610, 2817, 19541, 538, 8693, 22990, 1304, 11982, 729, 9250, 538, 476, 1001, 272, 676, 519, 15096, 2752, 269, 634, 17514, 1222, 1788, 729, 9250, 609, 519, 2832, 540, 281, 18430, 532, 18679, 13328, 25561, 1670, 4303, 568, 9976, 593, 476, 2537, 6113, 4728, 540, 1169, 1032, 267, 799, 16033, 919, 519, 27299, 540, 519, 13482, 799, 3964, 519, 2622, 25561, 1670, 9257, 593, 519, 1482, 1554, 538, 476, 4198, 271, 269, 4595, 476, 3422, 272, 267, 519, 25611, 2212, 32483, 1229, 2622, 25561, 1670, 9257, 814, 1044, 14120, 2622, 25561, 1670, 4303, 609, 513, 2189, 6249, 269, 968, 20458, 543, 4826, 892, 568, 519, 6249, 540, 18679, 13328, 4826, 4303, 568, 4767, 1169, 1032, 593, 4728, 476, 2420, 267, 2066, 519, 1158, 2094, 519, 1032, 476, 1960, 274, 269, 634, 6249, 540, 519, 2622, 4826, 4303, 713, 1032, 568, 2048, 12850, 543, 8693, 7827, 9957, 769, 476, 1960, 273, 267, 519, 2136, 8315, 4937, 13909, 7550, 513, 6571, 676, 799, 476, 2420, 4728, 540, 1142, 1032, 729, 10294, 2622, 4826, 4303, 689, 476, 1960, 274, 269, 634, 4303, 18679, 763, 5063, 5950, 6167, 1867, 593, 519, 24435, 1633, 1949, 267, 1572, 585, 14849, 3268, 547, 18359, 971, 4525, 269, 898, 12006, 519, 2956, 540, 11837, 543, 5464, 269, 3212, 520, 4133, 17392, 538, 3127, 3212, 520, 4133, 538, 3127, 723, 1044, 6592, 538, 1488, 684, 778, 531, 21423, 267, 7187, 2694, 540, 31881, 330, 574, 267, 13924, 778, 531, 21423, 543, 29242, 269, 20668, 540, 519, 5375, 717, 1002, 338, 2039, 616, 849, 4080, 18679, 763, 2136, 8315, 5063, 5950, 513, 1867, 593, 519, 24435, 1633, 1949, 543, 519, 8594, 540, 3327, 12998, 1813, 547, 741, 12159, 269, 3212, 520, 4133, 3212, 520, 1633, 1949, 616, 4646, 950, 13148, 28811, 2030, 1570, 18645, 538, 1216, 2000, 690, 3022, 2175, 936, 5215, 540, 1296, 269, 3212, 520, 4133, 13822, 476, 274, 260, 540, 519, 3618, 779, 2627, 855, 4558, 827, 476, 1789, 260, 540, 519, 3037, 3327, 538, 18679, 13146, 5359, 1397, 602, 519, 9932, 2504, 538, 4437, 9618, 814, 17379, 676, 476, 2412, 260, 538, 476, 1708, 271, 269, 8210, 337, 1738, 4365, 568, 1373, 30199, 585, 519, 27290, 2887, 269, 26006, 13870, 538, 3127, 3127, 568, 606, 1163, 7163, 540, 2067, 9932, 269, 769, 476, 1001, 279, 268, 866, 267, 3127, 29633, 936, 476, 8618, 267, 1822, 19726, 540, 2067, 9932, 630, 10290, 827, 476, 278, 3953, 5186, 516, 5442, 305, 264, 547, 1585, 2477, 899, 7330, 267, 18679, 763, 5162, 540, 476, 1001, 280, 268, 736, 729, 519, 3636, 652, 585, 18940, 269, 901, 568, 30286, 513, 3463, 547, 519, 590, 2727, 12711, 23580, 539, 1530, 531, 2551, 269, 8235, 590, 2727, 12711, 8235, 590, 2727, 12711, 568, 513, 15195, 10720, 4092, 538, 5045, 3887, 770, 18940, 269, 898, 568, 835, 540, 519, 4102, 15195, 12647, 538, 2342, 269, 634, 966, 340, 758, 19561, 5211, 8928, 689, 713, 10720, 269, 898, 568, 519, 1753, 547, 1896, 10371, 0, 5278, 821, 12341, 538, 519, 11397, 2250, 11842, 543, 11432, 1359, 936, 519, 1379, 540, 2470, 593, 3618, 543, 538, 519, 6109, 14613, 543, 16462, 547, 1265, 606, 7778, 585, 519, 4098, 540, 3388, 2938, 543, 31305, 1472, 873, 3459, 547, 2285, 4473, 547, 2093, 540, 5137, 610, 5169, 540, 1272, 799, 538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5480, 269, 634, 5824, 2048, 21353, 559, 3821, 685, 11710, 689, 519, 5259, 2048, 21353, 559, 833, 685, 799, 729, 2048, 519, 2823, 4815, 540, 519, 2895, 517, 1666, 850, 639, 267, 519, 4013, 945, 7006, 10234, 5126, 538, 18603, 269, 2048, 15368, 850, 639, 685, 1797, 2048, 6362, 685, 543, 2501, 689, 267, 621, 568, 28756, 3293, 267, 519, 10370, 323, 1014, 2048, 321, 3430, 657, 685, 799, 849, 1797, 2048, 6362, 9957, 1809, 602, 3294, 814, 922, 2707, 538, 519, 16130, 2048, 321, 1002, 3279, 685, 630, 2633, 511, 2633, 509, 11695, 509, 264, 799, 1797, 2048, 1597, 30514, 685, 610, 2048, 331, 867, 17483, 5278, 723, 1543, 539, 602, 519, 28912, 729, 513, 32251, 11454, 269, 901, 4661, 568, 1759, 593, 519, 32251, 700, 532, 320, 799, 621, 568, 1767, 729, 14155, 730, 689, 519, 623, 12298, 13527, 593, 799, 519, 28912, 729, 3710, 269, 634, 32251, 700, 532, 320, 568, 519, 3090, 540, 32251, 267, 519, 2262, 2048, 1782, 320, 685, 630, 2633, 366, 18028, 503, 11695, 501, 264, 2495, 2048, 32188, 685, 610, 2048, 338, 793, 17483, 347, 1607, 568, 519, 2048, 4537, 10216, 700, 532, 600, 540, 661, 13700, 22202, 685, 593, 2070, 538, 519, 18264, 6350, 4754, 7467, 693, 519, 28912, 269, 661, 13700, 22202, 729, 519, 3504, 2012, 540, 7977, 8198, 347, 295, 8114, 2480, 340, 20567, 609, 2048, 18090, 2275, 821, 17483, 763, 2048, 18090, 2275, 821, 685, 568, 513, 6041, 454, 1993, 519, 2048, 18090, 531, 685, 14189, 540, 519, 2634, 454, 10193, 1634, 607, 519, 2048, 628, 2273, 3750, 540, 32251, 17483, 763, 12566, 13409, 693, 519, 28912, 729, 5116, 693, 28941, 6742, 3780, 1991, 547, 621, 1373, 6410, 547, 519, 7040, 540, 519, 623, 793, 320, 269, 634, 25882, 595, 821, 540, 28912, 2899, 6039, 607, 513, 32446, 267, 1216, 575, 5241, 689, 9475, 538, 519, 10253, 540, 519, 13409, 1107, 4010, 607, 1216, 32338, 919, 689, 519, 1283, 10275, 2254, 540, 7083, 32251, 269, 634, 2048, 18090, 531, 14189, 685, 540, 519, 1480, 2634, 799, 568, 2808, 607, 519, 10160, 540, 5289, 1921, 547, 519, 7122, 267, 568, 849, 6719, 676, 519, 1283, 10275, 2254, 540, 32251, 689, 799, 8945, 956, 519, 1216, 540, 519, 717, 5190, 269, 9747, 267, 519, 25882, 595, 821, 674, 20667, 540, 28912, 2336, 21511, 25882, 4211, 821, 540, 28912, 729, 513, 32446, 454, 5228, 799, 1216, 575, 19813, 856, 2899, 454, 21511, 2048, 9008, 10275, 2254, 685, 540, 7083, 32251, 454, 529, 513, 6041, 540, 519, 2048, 18090, 2275, 821, 20371, 763, 12566, 2275, 821, 568, 8032, 899, 519, 1480, 12566, 531, 14189, 563, 12850, 575, 16640, 856, 540, 32251, 779, 1283, 24516, 563, 21511, 2048, 18090, 531, 14189, 8730, 519, 10160, 540, 5289, 1143, 543, 2048, 327, 27941, 9637, 685, 6719, 676, 519, 2048, 23612, 3750, 540, 32251, 685, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6011, 547, 1118, 513, 5127, 264, 610, 1950, 630, 6011, 547, 23676, 2393, 513, 2780, 1982, 264, 596, 4312, 4440, 4862, 1896, 875, 3562, 610, 17431, 18531, 607, 513, 2875, 1631, 602, 621, 781, 707, 2490, 693, 519, 2212, 540, 519, 1547, 23227, 566, 18531, 616, 5140, 547, 4001, 1453, 519, 1148, 540, 1857, 6340, 16168, 17431, 4633, 3584, 2832, 693, 1818, 519, 5304, 2972, 513, 1906, 14902, 338, 543, 723, 606, 23904, 19773, 547, 1272, 269, 476, 273, 13796, 3919, 4806, 585, 17431, 4633, 3040, 2491, 1142, 1900, 538, 519, 5311, 3040, 798, 711, 18178, 3268, 1256, 952, 596, 1589, 616, 5432, 547, 563, 292, 2416, 1259, 267, 596, 1522, 581, 606, 4274, 593, 713, 8631, 855, 621, 779, 1114, 952, 596, 2461, 4280, 547, 1118, 513, 3087, 894, 4633, 827, 621, 713, 1826, 540, 18531, 991, 811, 9355, 543, 8856, 585, 707, 9458, 547, 1174, 2094, 789, 616, 24584, 547, 1451, 689, 596, 269, 5131, 1557, 281, 17431, 4633, 789, 2161, 513, 4605, 568, 4502, 513, 8536, 1913, 543, 666, 2995, 513, 8536, 8941, 1175, 1018, 4010, 568, 713, 6031, 630, 6665, 783, 540, 513, 269, 589, 17431, 4633, 3340, 596, 547, 2491, 930, 1184, 610, 4305, 547, 519, 5304, 865, 519, 5304, 1131, 1174, 621, 5693, 538, 1931, 547, 3035, 602, 267, 596, 991, 547, 1547, 23227, 566, 4633, 1888, 7291, 630, 338, 2217, 264, 1826, 540, 4633, 1107, 17431, 2012, 598, 22448, 535, 573, 656, 3483, 540, 519, 4633, 1107, 547, 1397, 519, 1697, 3268, 538, 17678, 4522, 563, 16240, 513, 17431, 4633, 1522, 3100, 2653, 4947, 909, 609, 513, 1434, 1888, 585, 621, 267, 2705, 267, 568, 711, 649, 1616, 547, 1118, 519, 1184, 4443, 585, 596, 267, 5356, 513, 1507, 2943, 2500, 3391, 547, 17431, 4633, 1603, 269, 10812, 561, 13453, 6445, 3467, 536, 691, 517, 781, 4604, 17431, 4633, 2093, 593, 533, 15517, 1923, 1294, 811, 2093, 827, 1434, 2093, 267, 4739, 2093, 543, 3860, 2093, 269, 2422, 891, 8638, 540, 3087, 894, 4633, 3584, 547, 1020, 707, 1378, 3584, 585, 513, 3087, 894, 4633, 621, 666, 581, 4376, 596, 899, 607, 1279, 607, 596, 616, 2111, 547, 1459, 519, 3268, 540, 519, 17431, 610, 1184, 4633, 3584, 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 ]
[ 4123, 538, 519, 717, 2969, 306, 563, 2026, 811, 543, 811, 3344, 540, 1857, 3028, 11865, 538, 2342, 267, 971, 607, 1072, 543, 2069, 267, 616, 8118, 909, 547, 5010, 4229, 267, 519, 3152, 786, 581, 519, 3310, 540, 519, 1455, 5010, 3609, 593, 519, 11865, 540, 891, 2533, 269, 634, 2810, 946, 540, 1857, 4357, 11450, 630, 13048, 303, 1315, 21668, 296, 264, 11731, 267, 3850, 4357, 12427, 547, 1374, 267, 1628, 267, 2226, 543, 3006, 4383, 3506, 568, 513, 2013, 538, 1448, 269, 16588, 2276, 1131, 1152, 581, 4847, 547, 25666, 2489, 3609, 609, 2543, 547, 891, 2533, 267, 711, 875, 610, 676, 7247, 789, 1058, 581, 9447, 267, 5103, 519, 14074, 540, 15080, 476, 9692, 593, 2657, 543, 476, 8146, 593, 4065, 563, 9209, 2873, 21278, 10466, 18830, 27565, 5314, 888, 2005, 1522, 581, 11130, 602, 15080, 476, 1626, 267, 8633, 268, 9692, 268, 278, 593, 2657, 267, 8633, 268, 8687, 593, 9177, 267, 8633, 268, 8146, 268, 272, 270, 275, 593, 4065, 267, 8633, 268, 24241, 268, 275, 540, 519, 1455, 5010, 3609, 593, 2686, 543, 24384, 990, 529, 783, 2533, 267, 543, 8633, 268, 24241, 268, 276, 540, 519, 1455, 5010, 3609, 593, 519, 30431, 566, 540, 519, 2841, 1878, 540, 16588, 2276, 607, 1996, 1346, 540, 519, 9167, 910, 2149, 519, 2924, 540, 519, 16588, 2276, 547, 3313, 3609, 593, 2657, 267, 4065, 543, 8836, 1315, 10748, 328, 990, 529, 783, 7896, 563, 3719, 891, 15080, 2709, 2370, 3656, 4027, 1996, 519, 14074, 540, 9137, 476, 1321, 268, 272, 799, 3947, 519, 5742, 12600, 1318, 547, 3313, 1455, 5010, 3609, 282, 543, 1287, 576, 476, 24241, 268, 272, 540, 519, 1455, 5010, 3609, 267, 799, 2882, 519, 1318, 547, 1118, 2048, 339, 8565, 11650, 538, 6935, 547, 4123, 538, 5370, 543, 2533, 9957, 901, 3693, 540, 519, 1455, 5010, 3609, 2636, 519, 8189, 267, 1310, 513, 1627, 300, 309, 8917, 538, 519, 7027, 540, 3687, 8651, 267, 547, 1118, 9388, 538, 519, 717, 2969, 306, 543, 519, 654, 15674, 593, 1018, 519, 8189, 3294, 11225, 607, 519, 2048, 1260, 14293, 3344, 685, 540, 891, 7896, 269, 634, 5010, 3344, 540, 891, 7896, 616, 711, 3989, 538, 519, 9139, 610, 11992, 269, 1924, 513, 16588, 3557, 1131, 723, 547, 979, 547, 519, 3864, 7040, 540, 10456, 547, 4161, 519, 8189, 267, 19163, 513, 20237, 602, 1131, 723, 547, 1397, 602, 519, 8189, 729, 6679, 4123, 538, 1875, 10687, 14293, 3344, 540, 891, 7896, 563, 1607, 1131, 581, 513, 1360, 2352, 3656, 4661, 547, 1118, 267, 2094, 1082, 2694, 540, 891, 7896, 666, 581, 7745, 883, 1367, 3252, 543, 26438, 856, 269, 6201, 540, 713, 666, 581, 2938, 538, 8581, 543, 538, 2523, 538, 6628, 563, 293, 5436, 2048, 327, 1301, 517, 5314, 685, 540, 4031, 543, 6042, 1131, 581, 11991, 267, 2094, 621, 1131, 1491, 1747, 538, 26821, 998, 519, 3498, 540, 4123, 11650, 563, 1103, 26821, 519, 865, 10777, 4027, 15080, 616, 855, 513, 4453, 6122, 2378, 8720, 519, 936, 337, 4575, 5397, 2509, 7833, 12666, 5314, 540, 4123, 538, 7896, 8659, 538, 519, 1455, 5010, 3609, 269, 1403, 1346, 945, 13712, 891, 15080, 616, 3978, 827, 7863, 2657, 267, 4065, 267, 543, 8836, 1315, 10748, 328, 990, 529, 783, 7896, 689, 5010, 5314, 267, 789, 1058, 693, 2547, 2046, 585, 519, 12802, 540, 519, 796, 534, 14383, 10421, 538, 519, 7027, 540, 3687, 8651, 593, 3664, 547, 1930, 4123, 538, 891, 7896, 563, 24292, 543, 23866, 7896, 454, 4415, 2543, 547, 2528, 267, 3203, 8633, 476, 24241, 268, 275, 540, 519, 9139, 3947, 513, 1654, 1729, 593, 2242, 538, 519, 1455, 5010, 3609, 1152, 538, 2048, 1492, 3932, 540, 11650, 538, 519, 2361, 540, 4123, 538, 2686, 543, 24384, 990, 529, 783, 2533, 267, 1141, 891, 1981, 11830, 6005, 519, 5742, 779, 2686, 543, 10409, 4763, 17483, 1692, 971, 1981, 568, 3989, 267, 950, 621, 568, 3989, 267, 543, 676, 7247, 621, 568, 3989, 267, 568, 1930, 547, 7664, 269, 14348, 513, 2489, 6679, 909, 540, 519, 2160, 5823, 267, 610, 540, 519, 3119, 1153, 5823, 630, 553, 568, 8345, 538, 6628, 1070, 547, 19957, 6735, 10460, 513, 3463, 547, 2686, 543, 10409, 4763, 286, 14348, 519, 1482, 2157, 540, 1489, 547, 8059, 12264, 1808, 5925, 543, 7641, 1107, 899, 570, 294, 275, 543, 3785, 621, 7028, 1107, 849, 723, 547, 581, 2016, 547, 4357, 5010, 9055, 899, 7641, 274, 286, 1215, 1131, 9718, 619, 540, 10409, 4763, 3715, 267, 538, 4434, 910, 2864, 982, 950, 9388, 723, 1044, 1500, 543, 519, 3441, 568, 2944, 910, 602, 1978, 9467, 11650, 10460, 4220, 547, 2528, 286, 5808, 16976, 1018, 13054, 513, 1981, 568, 711, 3989, 267, 865, 1346, 945, 1522, 1294, 741, 2528, 607, 1373, 693, 1981, 786, 711, 723, 1654, 1729, 7060, 269, 769, 26821, 519, 3864, 7040, 786, 3313, 799, 2533, 1058, 581, 6870, 543, 799, 1058, 581, 5010, 2213, 563, 8138, 338, 573, 3511, 640, 543, 13636, 8889, 454, 8072, 8138, 338, 573, 3511, 640, 685, 543, 9167, 13636, 8889, 786, 581, 8185, 14944, 1441, 676, 519, 1007, 9139, 269, 769, 15212, 13564, 3511, 640, 1797, 513, 3903, 676, 519, 2950, 607, 547, 875, 1857, 2533, 616, 3177, 1107, 1004, 666, 8917, 585, 1114, 2797, 6105, 543, 18747, 269, 634, 700, 7564, 837, 267, 519, 6237, 543, 2199, 16857, 8128, 666, 11884, 6430, 2436, 789, 1683, 1857, 2533, 2933, 267, 676, 1797, 540, 513, 554, 1882, 1055, 2497, 630, 335, 1601, 4601, 538, 519, 1106, 540, 538, 27440, 14305, 1070, 610, 1107, 1310, 519, 12032, 540, 513, 1857, 14305, 5650, 910, 676, 1797, 540, 513, 3791, 5428, 563, 763, 22341, 700, 7564, 837, 616, 1996, 519, 4367, 540, 513, 2489, 17185, 585, 1930, 8013, 4043, 1359, 538, 519, 2048, 338, 26236, 540, 2489, 1719, 685, 630, 21504, 2533, 264, 538, 2342, 269, 1809, 3203, 8633, 268, 277, 2829, 602, 538, 6935, 547, 519, 2048, 1440, 514, 3321, 543, 2175, 685, 17929, 891, 2533, 616, 3177, 267, 2048, 28205, 3741, 543, 2175, 616, 9788, 1524, 676, 3864, 1876, 9957, 634, 700, 7564, 837, 8044, 602, 713, 4422, 1996, 519, 6240, 540, 13564, 3511, 640, 543, 1131, 2285, 519, 5742, 513, 16169, 602, 693, 1459, 621, 1281, 711, 723, 538, 930, 2533, 910, 971, 607, 6704, 21226, 3761, 267, 3653, 543, 16894, 12871, 267, 1514, 2533, 607, 1134, 607, 2069, 543, 2528, 269, 6684, 267, 4758, 519, 5742, 12600, 1318, 547, 21907, 4123, 11650, 538, 7896, 1797, 602, 4525, 267, 971, 607, 519, 700, 7564, 837, 267, 6336, 741, 2924, 547, 3313, 3609, 585, 1346, 7896, 269, 4427, 338, 573, 3511, 640, 1131, 581, 1500, 2495, 1652, 269, 634, 1004, 540, 891, 4525, 1131, 6336, 741, 11180, 1318, 547, 1852, 875, 741, 7896, 616, 11295, 543, 9447, 563, 9209, 8633, 268, 277, 849, 14944, 1149, 13636, 8889, 269, 3203, 8633, 268, 14056, 2829, 602, 519, 5742, 779, 4507, 543, 2962, 1058, 1491, 883, 2272, 519, 6859, 540, 4227, 13103, 1063, 519, 2157, 540, 1646, 540, 519, 1585, 4525, 269, 10318, 1456, 4507, 593, 519, 4493, 540, 2048, 28158, 1876, 685, 910, 607, 3177, 585, 538, 3203, 8633, 268, 277, 1107, 1131, 2285, 2215, 2329, 547, 6735, 3652, 543, 7551, 24183, 3800, 547, 2569, 6237, 8635, 910, 971, 607, 3246, 24307, 585, 6237, 3560, 6402, 602, 1131, 711, 581, 20749, 14323, 593, 741, 1378, 563, 1103, 519, 16816, 5658, 3690, 3375, 540, 476, 2190, 5147, 476, 1220, 274, 519, 3864, 7040, 540, 10456, 3964, 602, 1978, 1533, 24307, 585, 1857, 3560, 2533, 941, 711, 2048, 574, 27393, 1533, 11226, 8730, 607, 7979, 31090, 676, 519, 1699, 3864, 5351, 543, 6735, 3652, 269, 634, 1455, 2990, 540, 519, 22341, 700, 7564, 837, 568, 602, 713, 27790, 1058, 581, 6905, 547, 3382, 824, 1857, 2533, 865, 602, 9270, 824, 982, 2344, 4229, 1107, 1519, 3354, 540, 3761, 267, 15364, 267, 6940, 267, 2489, 1318, 540, 1569, 267, 16857, 543, 1514, 22122, 267, 1058, 581, 3144, 883, 2272, 563, 291, 3925, 540, 513, 2104, 9167, 281, 10304, 585, 4961, 610, 12434, 585, 519, 3028, 2872, 454, 1103, 5758, 267, 519, 6069, 1007, 9139, 1131, 1491, 519, 9167, 2417, 2476, 689, 513, 2048, 25791, 685, 610, 2048, 310, 9175, 3557, 685, 2203, 543, 6251, 547, 513, 5010, 2203, 540, 5398, 6796, 11865, 269, 27565, 2358, 4123, 538, 2657, 267, 4065, 267, 8836, 543, 10748, 328, 990, 529, 783, 7896, 538, 519, 717, 2969, 306, 786, 711, 2087, 519, 2298, 540, 3028, 610, 519, 2175, 540, 960, 585, 1346, 945, 5838, 873, 269, 1677, 10839, 1586, 519, 3864, 8189, 281, 834, 763, 717, 2969, 306, 568, 711, 1175, 1945, 602, 6818, 1063, 6608, 269, 898, 568, 1101, 543, 19466, 606, 6293, 585, 519, 4324, 540, 1870, 4799, 763, 8189, 267, 3842, 519, 1007, 9139, 267, 568, 2324, 547, 1711, 519, 1655, 2175, 585, 2462, 1870, 547, 28231, 12434, 689, 519, 11865, 540, 1898, 5398, 7896, 269, 1772, 713, 1018, 519, 1004, 540, 2342, 1616, 689, 513, 1007, 9139, 888, 763, 700, 6387, 538, 15212, 616, 519, 6237, 2829, 269, 1358, 723, 9645, 7060, 267, 1519, 519, 1379, 547, 3313, 3609, 593, 2069, 269, 634, 700, 6387, 538, 5125, 723, 2147, 7060, 282, 607, 723, 519, 22616, 976, 538, 16848, 269, 630, 3724, 994, 1607, 5618, 532, 14405, 593, 519, 960, 540, 3220, 269, 30686, 11219, 846, 325, 853, 636, 10458, 267, 15445, 14199, 540, 519, 13909, 540, 519, 3864, 3204, 687, 269, 13751, 6085, 676, 681, 16492, 9677, 8083, 752, 537, 540, 519, 13909, 540, 519, 3864, 3204, 687, 269, 30633, 532, 568, 676, 6601, 526, 534, 8479, 538, 5698, 609, 1546, 2273, 516, 1546, 289, 584, 8619, 267, 661, 17868, 333, 9197, 5844, 543, 2107, 5055, 667, 549, 7315, 563, 291, 4338, 10345, 729, 4646, 1310, 513, 13186, 593, 519, 717, 2969, 306, 693, 519, 9721, 4317, 17072, 538, 5239, 476, 1220, 274, 269, 898, 568, 606, 1930, 5859, 1895, 602, 7143, 3699, 7589, 269, 1280, 12215, 540, 5618, 532, 4574, 610, 3877, 540, 11401, 267, 5225, 3346, 912, 291, 4338, 10345, 267, 524, 270, 334, 594, 28903, 267, 533, 270, 334, 13340, 476, 280, 1321, 275, 267, 25212, 476, 272, 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 ]
[ 476, 273, 476, 274, 476, 280, 476, 277, 692, 277, 476, 274, 476, 274, 476, 273, 3267, 689, 519, 31602, 8367, 692, 277, 476, 274, 476, 272, 476, 273, 692, 330, 737, 737, 737, 737, 737, 737, 737, 737, 692, 330, 737, 737, 737, 737, 692, 300, 737, 737, 692, 300, 737, 737, 692, 4913, 267, 689, 630, 328, 1070, 476, 272, 330, 737, 568, 1256, 269, 2913, 621, 581, 6829, 607, 476, 273, 301, 2073, 1141, 715, 568, 606, 8870, 780, 277, 476, 274, 476, 273, 476, 273, 476, 277, 476, 277, 476, 272, 692, 277, 476, 272, 692, 300, 715, 631, 715, 692, 300, 715, 692, 7712, 631, 543, 715, 616, 9981, 267, 519, 6169, 676, 15632, 568, 2347, 780, 1892, 476, 278, 692, 9223, 476, 1321, 630, 322, 264, 630, 328, 2020, 273, 476, 272, 476, 272, 476, 273, 476, 272, 476, 273, 692, 272, 476, 273, 476, 272, 476, 273, 692, 271, 692, 303, 623, 623, 623, 323, 692, 303, 623, 19049, 692, 303, 623, 623, 623, 692, 17798, 267, 676, 10128, 1312, 5011, 609, 2463, 547, 512, 267, 649, 723, 476, 273, 476, 272, 303, 737, 303, 2073, 1141, 737, 568, 513, 692, 6247, 656, 780, 9223, 476, 1321, 630, 322, 264, 630, 4512, 2020, 7712, 519, 2551, 5555, 10301, 513, 3970, 267, 519, 13506, 540, 519, 2551, 1599, 1590, 692, 6588, 706, 958, 6175, 610, 24609, 856, 267, 8754, 607, 512, 2073, 476, 272, 476, 271, 323, 303, 692, 19049, 16317, 13295, 267, 547, 1265, 519, 12145, 1871, 540, 2161, 476, 272, 303, 2073, 649, 1577, 476, 272, 476, 271, 692, 323, 303, 692, 19049, 16317, 272, 476, 272, 476, 273, 692, 272, 476, 273, 692, 271, 692, 303, 323, 303, 692, 303, 339, 692, 303, 692, 323, 692, 303, 692, 1607, 1797, 602, 1312, 5095, 5555, 1935, 519, 1482, 3970, 269, 15240, 23082, 713, 883, 692, 712, 1267, 689, 630, 328, 1070, 649, 723, 692, 272, 692, 272, 692, 272, 737, 303, 692, 330, 303, 692, 303, 692, 1892, 476, 279, 692, 9223, 476, 1321, 630, 323, 2020, 4131, 667, 5723, 1535, 16317, 1862, 7285, 5705, 2105, 689, 16147, 692, 3445, 3267, 2040, 540, 692, 3445, 3267, 19794, 6587, 7285, 692, 3445, 3267, 2094, 476, 3445, 692, 17584, 289, 1535, 30183, 692, 293, 12788, 674, 12788, 692, 289, 7968, 692, 303, 4488, 645, 7968, 18688, 692, 343, 692, 343, 692, 290, 692, 343, 692, 13295, 661, 15425, 568, 568, 30801, 609, 18027, 7193, 2094, 623, 4488, 9823, 289, 1535, 16317, 13718, 1862, 7285, 5705, 2105, 9992, 692, 3445, 521, 692, 558, 524, 692, 636, 540, 692, 3445, 554, 867, 692, 343, 692, 343, 692, 288, 595, 595, 692, 289, 692, 5723, 692, 13295, 21768, 289, 568, 568, 30801, 609, 18027, 623, 289, 2094, 476, 3445, 14154, 289, 623, 289, 1535, 292, 16317, 17798, 267, 2094, 623, 289, 7193, 543, 7460, 568, 513, 2786, 1899, 267, 623, 20312, 31637, 7460, 780, 1892, 476, 280, 692, 9223, 476, 1321, 630, 324, 2020, 2171, 917, 602, 519, 8700, 540, 519, 4396, 568, 524, 267, 865, 547, 1265, 519, 4320, 540, 621, 267, 649, 1590, 1101, 1265, 519, 692, 19327, 540, 519, 3444, 3296, 269, 1677, 798, 713, 267, 649, 10208, 519, 1858, 540, 519, 1507, 6906, 689, 519, 1858, 540, 692, 1492, 13551, 780, 273, 692, 11927, 273, 692, 320, 288, 705, 692, 273, 692, 11927, 273, 692, 320, 524, 309, 705, 322, 692, 2171, 1616, 547, 1265, 519, 2557, 693, 799, 1216, 8928, 856, 267, 865, 649, 1616, 546, 309, 692, 19049, 780, 323, 309, 546, 309, 546, 692, 19049, 546, 24303, 692, 323, 309, 692, 323, 692, 7712, 649, 917, 1018, 966, 568, 609, 2463, 547, 2073, 649, 666, 5173, 546, 309, 692, 19049, 780, 2420, 692, 272, 3813, 273, 692, 323, 309, 546, 309, 692, 19049, 546, 692, 320, 305, 692, 322, 692, 7712, 519, 4396, 585, 476, 273, 305, 786, 960, 4010, 519, 1482, 267, 4849, 513, 543, 536, 616, 954, 577, 6548, 267, 649, 666, 692, 13678, 2952, 1533, 602, 692, 273, 692, 273, 692, 273, 3813, 273, 692, 321, 524, 305, 692, 4517, 8754, 267, 676, 2324, 856, 519, 5223, 267, 649, 723, 519, 1267, 780, 320, 692, 321, 692, 1892, 476, 1015, 692, 9223, 476, 1724, 630, 320, 264, 630, 328, 2020, 2691, 519, 9325, 607, 693, 476, 272, 692, 330, 540, 922, 2318, 17119, 640, 10484, 288, 343, 692, 330, 2073, 1141, 589, 568, 519, 17931, 780, 2171, 1631, 991, 547, 1265, 922, 5021, 6991, 780, 8794, 519, 1344, 3177, 267, 649, 666, 2203, 519, 5536, 3350, 676, 5609, 343, 589, 562, 339, 2073, 865, 692, 6523, 341, 1323, 562, 339, 1547, 4595, 5430, 660, 14251, 919, 1063, 476, 272, 2073, 519, 5021, 6991, 1590, 581, 1323, 267, 865, 476, 272, 692, 330, 692, 1993, 602, 1131, 581, 1323, 692, 330, 780, 2171, 1631, 1265, 519, 2053, 1141, 519, 1657, 2175, 2049, 780, 7562, 692, 272, 7562, 692, 8150, 562, 339, 692, 330, 692, 660, 330, 692, 6523, 692, 272, 6523, 692, 2304, 2304, 562, 339, 692, 330, 692, 660, 330, 692, 3719, 476, 273, 476, 273, 322, 1601, 328, 476, 272, 333, 562, 339, 562, 339, 2073, 865, 692, 273, 476, 273, 692, 273, 692, 272, 476, 1556, 692, 273, 692, 273, 3267, 2094, 476, 271, 692, 330, 737, 692, 330, 692, 330, 737, 692, 9223, 476, 1724, 630, 320, 264, 630, 4512, 2020, 2691, 476, 273, 330, 2073, 649, 723, 692, 272, 7562, 692, 275, 692, 275, 692, 273, 660, 692, 660, 692, 339, 333, 692, 3719, 519, 1974, 568, 476, 273, 692, 307, 333, 692, 267, 543, 649, 5612, 1294, 602, 692, 279, 692, 307, 339, 16317, 1892, 476, 1556, 692, 5226, 652, 692, 27775, 2105, 692, 291, 665, 3701, 454, 19733, 454, 291, 665, 3701, 454, 291, 665, 3701, 454, 291, 665, 3701, 454, 291, 665, 3701, 454, 291, 665, 3701, 454, 291, 665, 3701, 454, 19733, 454, 291, 665, 3701, 454, 291, 665, 3701, 454, 291, 665, 3701, 0, 9223, 692, 258, 589, 6109, 568, 10442, 606, 476, 279, 4458, 1788, 602, 3790, 8096, 1220, 267, 1822, 543, 814, 5993, 2121, 6666, 8928, 13718, 288, 6109, 568, 10442, 606, 476, 279, 4458, 1788, 602, 3790, 8096, 1220, 267, 1822, 543, 814, 5993, 2121, 6666, 8928, 540, 8096, 2004, 267, 1822, 829, 1032, 269, 634, 6109, 779, 1942, 540, 3854, 568, 476, 1724, 10065, 1548, 568, 519, 6697, 5993, 3045, 8462, 540, 519, 1788, 26042, 15478, 275, 267, 4200, 273, 692, 15478, 6078, 267, 277, 6507, 692, 15478, 279, 267, 26825, 692, 15478, 4375, 267, 280, 4375, 692, 15478, 11011, 267, 277, 6507, 692, 303, 6974, 1871, 540, 1102, 869, 338, 284, 322, 1662, 1102, 869, 265, 303, 6974, 1871, 540, 10958, 532, 3815, 263, 3433, 9077, 5503, 1974, 2020, 284, 2004, 267, 1822, 270, 272, 269, 1724, 266, 2004, 267, 1822, 270, 272, 269, 1724, 317, 273, 266, 2004, 267, 1822, 270, 272, 269, 1724, 317, 274, 266, 2004, 267, 1822, 270, 272, 269, 1724, 317, 275, 266, 2004, 267, 1822, 270, 272, 269, 1724, 317, 276, 266, 2004, 267, 1822, 270, 272, 269, 1724, 317, 277, 266, 2004, 267, 1822, 270, 272, 269, 1724, 317, 278, 266, 2004, 267, 1822, 270, 272, 269, 1724, 317, 279, 692, 284, 26839, 280, 4343, 269, 276, 1428, 692, 301, 11901, 284, 303, 6974, 1871, 540, 1102, 869, 338, 6261, 6974, 1871, 540, 856, 6503, 338, 692, 284, 26839, 280, 4343, 269, 276, 1428, 268, 1220, 267, 1822, 692, 7807, 259, 274, 4200, 4343, 269, 276, 1428, 692, 13420, 20884, 5993, 3045, 8462, 17342, 263, 21798, 540, 3854, 265, 301, 11901, 13580, 270, 314, 272, 24179, 272, 25239, 739, 540, 3854, 8203, 268, 5503, 1974, 6540, 17342, 263, 274, 4200, 4343, 269, 276, 1428, 265, 271, 269, 1724, 13580, 270, 314, 272, 24179, 272, 269, 1724, 8203, 268, 279, 6540, 14352, 31982, 273, 269, 24879, 4817, 270, 271, 269, 277, 2537, 279, 2412, 15946, 2020, 6518, 568, 3160, 547, 692, 7807, 259, 279, 3953, 274, 263, 7343, 6918, 2020, 2971, 2423, 333, 3213, 1231, 692, 10870, 1231, 666, 581, 28099, 14855, 585, 32263, 13344, 269, 0, 288, 19209, 11878, 5161, 540, 513, 12210, 540, 2527, 631, 815, 476, 7906, 4846, 543, 8953, 681, 815, 476, 272, 269, 277, 544, 15841, 593, 513, 1970, 1922, 9689, 4949, 548, 269, 589, 1126, 540, 2527, 544, 815, 476, 1839, 4846, 8255, 693, 3432, 642, 815, 476, 273, 269, 275, 544, 4882, 593, 513, 1899, 8126, 1113, 547, 519, 12210, 543, 26357, 5196, 519, 9018, 6316, 540, 519, 12210, 780, 5560, 264, 1403, 519, 12210, 729, 7620, 693, 1964, 267, 1631, 875, 3728, 568, 621, 15914, 286, 2334, 568, 267, 1018, 568, 922, 16070, 3432, 286, 630, 763, 4090, 540, 24880, 540, 513, 7833, 12210, 568, 24706, 17307, 273, 24355, 16216, 264, 1215, 1279, 1281, 621, 1491, 585, 519, 12210, 547, 979, 1472, 2899, 2496, 14116, 264, 1548, 729, 519, 3432, 540, 519, 1126, 1175, 1310, 519, 16580, 2496, 27203, 264, 12433, 519, 1689, 538, 5276, 11610, 540, 519, 1062, 9967, 540, 519, 1126, 7132, 519, 12210, 630, 8117, 711, 1519, 519, 4949, 548, 1070, 689, 1175, 1354, 547, 1175, 1310, 1764, 267, 1813, 547, 519, 20949, 4294, 676, 519, 4949, 548, 269, 6875, 519, 1535, 7852, 547, 581, 538, 519, 4287, 540, 519, 3355, 6991, 540, 519, 1126, 780, 17347, 264, 634, 1126, 593, 519, 12210, 15211, 27808, 593, 519, 12210, 543, 7475, 909, 7555, 693, 513, 1007, 4087, 513, 3845, 681, 270, 273, 815, 476, 271, 269, 279, 544, 689, 519, 4949, 548, 269, 3767, 1018, 568, 519, 16070, 3432, 286, 630, 2005, 2337, 547, 798, 713, 2079, 7223, 1227, 543, 11690, 538, 2338, 693, 519, 1439, 4700, 0, 258, 25482, 540, 476, 272, 270, 277, 7790, 678, 692, 1607, 1888, 568, 476, 14225, 272, 2395, 2025, 799, 568, 811, 982, 519, 476, 18458, 1554, 12939, 649, 1450, 585, 1007, 30491, 269, 7490, 2022, 513, 1007, 1888, 780, 1012, 30318, 24762, 692, 3383, 594, 1616, 547, 17429, 576, 519, 11105, 2427, 3259, 540, 513, 30494, 693, 513, 7790, 270, 277, 5086, 1109, 689, 519, 1535, 7852, 269, 9978, 8631, 267, 1318, 2496, 604, 692, 272, 270, 279, 540, 513, 18592, 568, 547, 922, 11105, 2427, 692, 286, 270, 275, 692, 13090, 692, 286, 263, 272, 270, 273, 2020, 553, 476, 272, 270, 1321, 540, 513, 18592, 568, 547, 922, 11105, 2427, 1384, 272, 270, 277, 2496, 1693, 692, 343, 692, 7462, 9523, 593, 824, 4609, 692, 2252, 519, 30494, 814, 3259, 476, 272, 267, 519, 11105, 2427, 693, 606, 7790, 270, 277, 5086, 814, 3259, 5430, 263, 286, 270, 277, 264, 815, 21762, 263, 274, 8358, 273, 269, 1772, 602, 1018, 596, 4941, 547, 917, 286, 2107, 798, 596, 1616, 547, 917, 1946, 621, 781, 21762, 263, 274, 8358, 273, 2496, 7462, 9523, 593, 824, 4609, 692, 2252, 519, 30494, 814, 3259, 476, 272, 267, 519, 11105, 2427, 693, 606, 7790, 270, 277, 5086, 814, 3259, 5430, 263, 286, 270, 277, 264, 815, 21762, 263, 274, 8358, 273, 269, 1772, 602, 1018, 596, 4941, 547, 917, 286, 2107, 798, 596, 1616, 547, 917, 1946, 621, 781, 21762, 263, 274, 8358, 273, 2496, 2750, 18075, 267, 594, 10093, 1405, 11739, 696, 1134, 865, 594, 993, 2348, 8373, 3541, 1516, 621, 780, 2791, 666, 946, 8486, 698, 23768, 11532, 585, 513, 7790, 270, 275, 5086, 2094, 1312, 5011, 616, 3160, 693, 602, 5086, 267, 8754, 1384, 327, 273, 815, 1535, 273, 1341, 1535, 273, 692, 343, 815, 7790, 263, 272, 270, 273, 2020, 10955, 1243, 676, 8819, 334, 692, 7462, 9523, 593, 824, 4609, 692, 19352, 606, 31164, 6906, 538, 519, 8912, 2990, 630, 821, 8880, 2427, 693, 519, 5377, 540, 519, 4137, 1070, 1287, 2721, 519, 7299, 1899, 602, 10596, 998, 519, 1283, 14584, 269, 901, 17337, 519, 31164, 6906, 538, 1079, 12730, 899, 519, 835, 596, 616, 5461, 538, 269, 3245, 713, 4070, 267, 621, 781, 6654, 602, 519, 3259, 540, 519, 824, 2427, 568, 476, 272, 270, 273, 269, 3767, 946, 519, 25355, 11532, 547, 12337, 519, 2427, 596, 616, 5461, 538, 780, 296, 1205, 476, 273, 263, 286, 263, 276, 270, 275, 11723, 7462, 9523, 593, 824, 4609, 692, 296, 1205, 476, 273, 263, 286, 263, 276, 270, 275, 11723, 2791, 616, 3257, 621, 4636, 269, 2433, 2020, 2710, 596, 3858, 602, 952, 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 ]
[ 1372, 2779, 1767, 269, 968, 4002, 11728, 267, 789, 5143, 803, 646, 1185, 5293, 2476, 3034, 2026, 519, 6852, 10194, 3940, 593, 519, 2627, 540, 519, 3644, 267, 519, 2037, 975, 324, 3940, 568, 513, 2101, 3077, 585, 7486, 6669, 3646, 269, 3683, 3368, 540, 519, 2527, 540, 519, 16013, 20143, 23508, 21782, 568, 715, 30499, 25026, 753, 269, 634, 5860, 568, 1164, 607, 519, 25026, 753, 13104, 519, 5817, 10194, 3940, 689, 9243, 5314, 676, 12489, 269, 901, 568, 835, 540, 519, 1034, 29822, 9848, 6523, 2643, 730, 6675, 1634, 543, 519, 5860, 568, 18481, 1164, 547, 2061, 519, 3339, 30553, 1184, 540, 25026, 753, 1282, 1979, 14003, 538, 519, 1439, 32194, 543, 30110, 22080, 17102, 269, 634, 5354, 540, 519, 25026, 753, 616, 4061, 588, 6817, 607, 1799, 1155, 2048, 14683, 268, 10458, 846, 685, 25026, 753, 711, 7363, 1459, 593, 1480, 9848, 19817, 4710, 1231, 602, 616, 9658, 1540, 610, 1459, 593, 513, 1591, 2627, 269, 634, 8966, 4393, 543, 1164, 5860, 1797, 602, 3592, 782, 17618, 9243, 2358, 12489, 602, 723, 865, 2484, 1044, 4857, 630, 5228, 513, 15410, 540, 2550, 602, 723, 1044, 7783, 585, 1082, 3275, 547, 1296, 264, 12622, 547, 610, 267, 616, 9862, 547, 11883, 609, 267, 891, 23508, 25026, 753, 563, 1805, 534, 2917, 570, 299, 267, 24415, 583, 345, 808, 267, 9370, 7637, 529, 595, 267, 1696, 620, 269, 22159, 538, 1471, 30844, 28539, 13920, 568, 2404, 609, 606, 4824, 10894, 9043, 538, 7486, 29795, 539, 2550, 8391, 512, 525, 600, 648, 4802, 269, 7885, 16791, 2598, 269, 476, 1001, 273, 9947, 269, 476, 7918, 263, 1556, 2567, 13932, 273, 268, 7906, 269, 1496, 8469, 1467, 4940, 1496, 17359, 7956, 14073, 297, 2794, 909, 9745, 774, 1682, 517, 27493, 267, 623, 2946, 30959, 25575, 29166, 345, 700, 267, 715, 5451, 329, 5028, 681, 630, 1220, 273, 1040, 968, 300, 12817, 27496, 540, 7486, 268, 272, 4719, 3029, 543, 922, 4644, 585, 6669, 1646, 543, 3797, 6100, 634, 31102, 29956, 15302, 269, 476, 273, 630, 279, 2567, 476, 5379, 272, 1700, 5325, 272, 269, 8222, 281, 1015, 269, 6200, 277, 13478, 15704, 274, 268, 29616, 280, 263, 6349, 264, 19740, 6246, 268, 273, 269, 20163, 476, 13199, 2004, 279, 3393, 563, 300, 663, 749, 267, 717, 14283, 700, 5919, 26999, 9116, 267, 3627, 661, 5919, 667, 22223, 267, 14943, 3873, 601, 267, 32308, 269, 630, 1001, 271, 1040, 13495, 749, 267, 19958, 267, 543, 26999, 9116, 779, 14362, 543, 6657, 540, 29956, 15302, 630, 278, 628, 1196, 12175, 15740, 267, 13698, 281, 26235, 12389, 7723, 270, 14976, 572, 22609, 269, 9768, 476, 7818, 268, 271, 268, 4510, 274, 268, 6187, 279, 4375, 268, 274, 563, 295, 4353, 3968, 4386, 950, 1880, 1560, 12862, 630, 29188, 267, 5033, 523, 267, 21420, 5714, 543, 6089, 5144, 264, 5627, 519, 3644, 2097, 883, 3346, 609, 1776, 1268, 779, 8031, 9944, 519, 2960, 630, 1721, 1383, 267, 1498, 13549, 14047, 675, 610, 7745, 2960, 1070, 610, 29935, 17011, 630, 1492, 6094, 5848, 16298, 540, 1082, 2694, 540, 519, 1560, 971, 607, 519, 9224, 267, 5023, 267, 11563, 543, 1024, 8558, 1916, 577, 3055, 26654, 6794, 282, 595, 5425, 282, 5312, 11851, 1308, 26654, 6794, 3635, 14001, 535, 553, 1017, 26654, 1928, 282, 3361, 676, 19847, 10009, 543, 3448, 568, 15939, 8598, 540, 12499, 4818, 3477, 531, 8031, 267, 609, 1279, 3856, 4887, 543, 8229, 14524, 543, 3441, 282, 973, 531, 31842, 7949, 2665, 2154, 10551, 10920, 16054, 998, 535, 30913, 30315, 630, 5408, 6794, 267, 8650, 26654, 994, 30812, 1682, 1500, 540, 3735, 343, 1683, 1434, 4027, 1996, 7486, 630, 553, 1134, 607, 824, 1455, 16770, 10299, 3676, 1070, 855, 789, 616, 711, 18174, 16513, 269, 13813, 2861, 19149, 1218, 630, 7945, 607, 19386, 21297, 264, 1058, 711, 581, 1031, 1317, 789, 949, 23271, 3735, 343, 267, 4227, 519, 598, 3256, 779, 7145, 563, 288, 10680, 568, 513, 2068, 602, 666, 3441, 1022, 540, 519, 1560, 779, 2101, 1418, 1949, 1317, 7486, 30001, 4761, 1062, 2281, 269, 7486, 6285, 519, 1560, 998, 1614, 2068, 3157, 281, 6375, 32759, 267, 10081, 9404, 29774, 267, 543, 8401, 1062, 14524, 563, 21595, 7578, 674, 297, 12789, 267, 5548, 18319, 11860, 333, 3326, 631, 267, 932, 332, 1408, 23404, 267, 7720, 768, 534, 8028, 267, 8381, 918, 290, 267, 5682, 6199, 589, 292, 267, 1696, 620, 269, 27834, 4324, 540, 27510, 1884, 790, 339, 22201, 12637, 3797, 538, 7486, 29795, 539, 7606, 538, 1114, 7131, 275, 266, 1591, 31324, 269, 7486, 4934, 18345, 5530, 15766, 2209, 269, 7788, 2902, 2405, 476, 1220, 274, 282, 15946, 281, 30663, 1700, 277, 269, 1496, 23809, 316, 1496, 17359, 7956, 316, 2340, 485, 355, 454, 6826, 6409, 21831, 531, 2242, 1851, 7630, 832, 543, 519, 5401, 4367, 540, 2800, 5786, 3800, 971, 607, 13549, 5385, 15961, 689, 519, 4571, 268, 2735, 271, 338, 4440, 15286, 1082, 824, 4683, 2127, 538, 519, 5177, 689, 7680, 519, 2199, 2213, 8623, 12515, 593, 519, 4336, 2938, 538, 10430, 269, 769, 519, 5177, 267, 4687, 3928, 2611, 2362, 982, 538, 519, 4571, 268, 1960, 271, 338, 609, 3592, 835, 538, 1614, 7630, 832, 538, 519, 1133, 15062, 539, 32088, 5619, 540, 7630, 532, 3075, 3755, 8989, 1463, 4687, 540, 19271, 543, 861, 2590, 525, 538, 519, 3105, 2185, 4374, 269, 634, 11173, 6771, 540, 17537, 645, 543, 17537, 595, 538, 1346, 9907, 896, 476, 1839, 2982, 519, 1761, 585, 2417, 7486, 3262, 1851, 7630, 532, 3075, 3755, 563, 297, 2794, 909, 9745, 715, 18365, 926, 717, 267, 23081, 334, 595, 267, 18237, 29773, 19182, 267, 623, 822, 821, 623, 267, 7137, 21884, 320, 631, 267, 4144, 28266, 631, 267, 590, 1013, 749, 631, 267, 2836, 629, 516, 572, 717, 267, 595, 659, 641, 16037, 645, 630, 1001, 273, 1040, 968, 763, 1909, 540, 25050, 19153, 538, 519, 2732, 540, 7486, 268, 272, 29795, 539, 2043, 6100, 13571, 645, 3930, 857, 269, 476, 275, 281, 476, 28192, 273, 1700, 6321, 269, 20163, 476, 26297, 276, 2918, 7906, 269, 21444, 689, 519, 3312, 593, 4989, 476, 1626, 267, 476, 1001, 276, 563, 4517, 2348, 15601, 666, 849, 581, 513, 1981, 3815, 585, 24931, 7486, 269, 901, 568, 1317, 19058, 15601, 666, 2014, 21385, 602, 1118, 621, 4443, 585, 7486, 547, 4283, 519, 1560, 1282, 3023, 269, 1656, 1004, 945, 723, 7486, 4043, 547, 723, 811, 4049, 15601, 17061, 811, 1419, 1317, 7486, 4617, 839, 519, 4761, 1062, 563, 2419, 537, 681, 267, 3911, 1080, 31650, 267, 670, 4428, 2006, 700, 295, 267, 17540, 681, 267, 918, 2180, 7572, 25280, 269, 623, 1066, 7614, 9584, 585, 7486, 281, 513, 2689, 540, 519, 2963, 585, 519, 772, 2529, 269, 16473, 633, 7896, 17130, 10414, 269, 772, 2529, 269, 16473, 633, 7896, 17130, 10414, 269, 7788, 2902, 2405, 476, 1220, 276, 282, 16960, 281, 4343, 1700, 7918, 563, 11514, 25068, 281, 901, 2376, 568, 585, 1344, 1152, 543, 1058, 711, 581, 1031, 585, 519, 5868, 610, 2126, 540, 2564, 2175, 269, 21111, 25957, 17290, 814, 1031, 782, 10257, 1416, 538, 735, 4979, 519, 1344, 855, 1118, 1100, 15549, 344, 607, 547, 922, 6111, 269, 13693, 513, 4387, 610, 824, 1072, 1416, 3318, 585, 5868, 543, 2126, 540, 2564, 2175, 269, 1280, 3877, 1294, 938, 2175, 563, 2252, 596, 3494, 596, 723, 1044, 6534, 547, 7486, 267, 3343, 2564, 3007, 594, 12613, 3633, 296, 2969, 5085, 312, 269, 1703, 568, 930, 2963, 602, 606, 7525, 1576, 540, 4550, 8686, 12637, 5061, 666, 2569, 519, 8458, 602, 596, 786, 581, 7783, 269, 901, 568, 1572, 2022, 7721, 17068, 605, 29091, 9471, 630, 303, 7968, 1070, 543, 621, 814, 1044, 1031, 547, 1521, 1072, 1416, 4600, 13676, 676, 991, 331, 4382, 802, 585, 1296, 563, 317, 30180, 909, 547, 281, 513, 536, 524, 546, 552, 535, 575, 554, 1775, 795, 737, 561, 544, 562, 522, 533, 7117, 678, 966, 690, 601, 267, 631, 282, 5576, 8705, 2763, 19053, 6387, 267, 595, 282, 654, 11047, 3578, 267, 808, 290, 282, 1975, 1263, 2401, 267, 772, 282, 28397, 8538, 745, 577, 267, 570, 282, 9412, 560, 549, 327, 267, 808, 298, 630, 20809, 476, 1001, 271, 1040, 968, 763, 2126, 540, 2550, 609, 7486, 6100, 1546, 7491, 2583, 3331, 482, 337, 345, 974, 4565, 3430, 4139, 269, 476, 13040, 630, 2764, 1700, 3066, 2567, 476, 2004, 278, 1700, 1428, 282, 7688, 476, 276, 1626, 269, 8222, 281, 1015, 269, 26825, 279, 270, 541, 345, 974, 4565, 269, 1001, 271, 269, 30588, 278, 269, 6751, 290, 476, 29720, 276, 4366, 274, 1547, 20163, 476, 21709, 30033, 4343, 563, 295, 4353, 4152, 568, 2139, 998, 1022, 1072, 13282, 8502, 267, 607, 1134, 607, 26687, 3585, 543, 14804, 569, 269, 5851, 4255, 585, 7486, 616, 2139, 585, 6718, 538, 1034, 7966, 9313, 543, 2228, 269, 634, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 3091, 513, 1907, 547, 948, 519, 1857, 1265, 741, 14282, 7486, 4152, 3135, 676, 23407, 3009, 693, 4179, 2517, 1326, 339, 6479, 6983, 26501, 10993, 269, 1411, 666, 849, 1257, 707, 2098, 7709, 3009, 547, 918, 301, 8582, 8668, 630, 276, 5780, 280, 4366, 1070, 610, 1289, 476, 272, 268, 8517, 4211, 17584, 268, 2562, 23859, 630, 272, 268, 8517, 268, 22446, 268, 5379, 274, 277, 1040, 18833, 835, 779, 4567, 568, 519, 1101, 1900, 547, 9319, 15978, 269, 1496, 1042, 1311, 29250, 284, 685, 10674, 2517, 5155, 564, 3433, 14895, 29335, 11486, 2794, 685, 3813, 284, 685, 278, 12664, 316, 0, 13434, 597, 1529, 908, 10787, 916, 29663, 814, 1175, 9250, 14568, 12551, 28524, 267, 513, 1007, 3896, 827, 973, 597, 1529, 908, 11396, 602, 786, 948, 596, 1174, 1018, 973, 597, 1529, 908, 11396, 616, 267, 875, 789, 960, 543, 1946, 789, 2811, 865, 1390, 585, 3165, 267, 2371, 267, 1004, 543, 519, 1604, 563, 291, 1511, 11146, 267, 23718, 2637, 10314, 543, 808, 650, 1014, 674, 787, 2626, 938, 2055, 827, 519, 5253, 7010, 6997, 693, 8592, 22846, 2160, 781, 4741, 585, 513, 700, 22133, 8892, 543, 519, 1202, 543, 16080, 540, 741, 2833, 609, 6864, 777, 9582, 563, 3674, 621, 2009, 585, 513, 29535, 2329, 899, 8883, 3511, 547, 581, 4264, 286, 1306, 2141, 267, 621, 5673, 593, 707, 4214, 267, 855, 930, 3549, 616, 4758, 621, 513, 2119, 269, 2913, 781, 1175, 2161, 621, 3322, 513, 9350, 588, 25973, 517, 543, 513, 10347, 5905, 563, 1607, 3018, 649, 2811, 3695, 29867, 910, 849, 1634, 607, 3165, 8105, 910, 998, 519, 7828, 540, 6940, 269, 2755, 649, 949, 2503, 519, 3165, 593, 938, 6676, 547, 2097, 689, 13278, 12563, 856, 593, 741, 16996, 556, 9934, 873, 538, 267, 519, 4641, 568, 602, 1454, 540, 938, 16872, 2501, 689, 3165, 11396, 269, 769, 713, 2022, 649, 1413, 693, 3165, 8105, 538, 9381, 543, 21369, 7297, 563, 4407, 649, 949, 2503, 519, 3165, 593, 938, 6676, 547, 2097, 689, 13278, 12563, 856, 593, 741, 16996, 556, 9934, 873, 538, 267, 519, 4641, 568, 602, 1454, 540, 938, 16872, 2501, 689, 3165, 11396, 269, 901, 3018, 649, 2811, 3695, 29867, 910, 849, 1634, 607, 3165, 8105, 910, 998, 519, 7828, 540, 6940, 269, 769, 713, 2022, 649, 3513, 1491, 513, 1413, 693, 593, 17060, 1949, 563, 17387, 539, 610, 6469, 286, 8187, 610, 3484, 539, 286, 1879, 1705, 7446, 3165, 1831, 865, 2352, 286, 1284, 4312, 15504, 1927, 5796, 593, 10188, 930, 1455, 3165, 3681, 596, 3513, 2693, 2097, 2066, 693, 519, 2344, 610, 3165, 695, 871, 269, 14400, 4422, 676, 3728, 267, 865, 2759, 1394, 593, 519, 11432, 1359, 543, 1205, 1394, 883, 519, 24106, 609, 938, 3165, 31376, 6656, 2336, 300, 3326, 639, 802, 1522, 581, 8401, 281, 5836, 3679, 2305, 3138, 1682, 269, 1306, 609, 8375, 16035, 9830, 538, 3165, 267, 938, 8093, 23185, 1648, 5079, 616, 7361, 547, 16620, 269, 630, 10498, 267, 865, 6148, 30114, 639, 802, 1810, 1405, 723, 4606, 910, 855, 649, 914, 596, 798, 267, 23690, 3122, 2000, 13569, 4700, 1548, 513, 1390, 2601, 547, 1489, 7791, 1648, 2336, 2005, 4992, 9490, 267, 855, 6070, 4248, 3165, 543, 15195, 2200, 616, 5532, 269, 589, 1007, 1353, 7229, 1175, 875, 1454, 15195, 1131, 581, 2877, 547, 5372, 3165, 543, 824, 7286, 3940, 538, 938, 11326, 609, 3940, 3812, 593, 2244, 563, 300, 4115, 928, 595, 18860, 821, 267, 15445, 10615, 540, 519, 5589, 597, 1529, 908, 10787, 916, 29663, 267, 12909, 827, 24377, 267, 21266, 777, 807, 543, 875, 973, 597, 1529 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13931, 13309, 952, 596, 616, 10010, 609, 707, 2790, 1072, 563, 8450, 532, 513, 13309, 666, 723, 1585, 5383, 585, 606, 1367, 779, 5626, 1072, 543, 8171, 269, 3371, 616, 930, 540, 519, 2640, 540, 7487, 513, 13309, 689, 513, 2790, 5133, 912, 3080, 540, 519, 3119, 2640, 540, 7487, 513, 13309, 568, 2799, 1582, 18221, 269, 589, 13309, 666, 948, 596, 2697, 3270, 538, 707, 2093, 267, 4606, 267, 543, 5615, 267, 607, 1134, 607, 519, 5817, 4978, 543, 2418, 602, 5397, 873, 269, 1635, 10678, 909, 1373, 811, 3222, 540, 891, 3270, 267, 596, 666, 1205, 513, 4514, 1620, 540, 3054, 543, 707, 4943, 725, 267, 799, 666, 1291, 547, 2123, 2208, 543, 1646, 563, 26670, 2331, 3929, 7939, 454, 20329, 1670, 7939, 568, 519, 2702, 547, 4383, 543, 1852, 835, 779, 4664, 538, 606, 13261, 543, 2635, 1259, 269, 22628, 513, 13309, 666, 948, 1004, 1451, 543, 2259, 3929, 7939, 2994, 267, 971, 607, 2620, 7244, 543, 11009, 267, 602, 666, 581, 13561, 538, 13302, 543, 7829, 4101, 4664, 8082, 563, 289, 21392, 14375, 3347, 454, 12892, 3347, 616, 606, 1898, 5057, 540, 5626, 1072, 543, 8171, 269, 22628, 513, 13309, 666, 4217, 2043, 2087, 741, 5872, 1983, 267, 7682, 4369, 267, 543, 6568, 267, 799, 666, 2014, 8902, 543, 811, 17598, 3347, 609, 1866, 563, 19102, 1078, 10763, 1983, 454, 21675, 666, 11338, 948, 1004, 3715, 10763, 1983, 269, 1635, 7231, 609, 513, 13309, 267, 2043, 666, 3605, 547, 1505, 2152, 538, 513, 811, 9836, 543, 2500, 1259, 267, 2697, 17053, 3681, 267, 543, 1118, 3664, 602, 616, 20898, 909, 609, 741, 3853, 543, 702, 2195, 563, 20236, 21873, 4016, 547, 606, 1367, 779, 2631, 540, 1582, 2914, 2180, 543, 1871, 269, 22628, 513, 13309, 666, 4217, 1004, 5431, 543, 4161, 2942, 1582, 2389, 1779, 543, 4978, 602, 666, 1039, 547, 1970, 1582, 21873, 269, 3414, 3797, 267, 2043, 666, 3605, 547, 3715, 513, 811, 4052, 543, 2318, 1582, 268, 13548, 267, 799, 666, 1291, 547, 2799, 6015, 543, 1582, 15696, 731, 563, 18719, 1386, 12003, 5759, 454, 290, 14563, 5759, 616, 2553, 543, 2553, 602, 1004, 8415, 547, 6023, 2566, 543, 27465, 269, 22628, 513, 13309, 666, 948, 1004, 1020, 543, 2259, 12003, 5759, 602, 616, 16419, 547, 741, 1880, 2115, 543, 5079, 269, 10515, 532, 1983, 666, 2874, 540, 11009, 267, 11005, 2409, 267, 10763, 267, 543, 1514, 1489, 267, 547, 2012, 513, 1906, 563, 5719, 920, 1078, 4191, 540, 2790, 4576, 454, 763, 2805, 666, 849, 960, 538, 4227, 4191, 540, 2790, 4524, 267, 971, 607, 4965, 267, 4160, 267, 543, 8194, 630, 303, 15056, 1040, 26935, 1235, 946, 2963, 2861, 5574, 267, 971, 607, 5042, 15515, 24173, 2126, 630, 30274, 1070, 13172, 673, 2623, 14842, 630, 291, 6630, 1070, 543, 3750, 3350, 964, 31731, 1436, 543, 1065, 549, 22422, 630, 4932, 11403, 1070, 547, 948, 2043, 4383, 2589, 543, 3986, 741, 2949, 6197, 269, 0, 1103, 519, 7706, 540, 26804, 8819, 25348, 267, 519, 2243, 14340, 281, 666, 938, 11537, 15274, 851, 820, 538, 519, 2085, 6040, 2245, 540, 7401, 4616, 888, 4407, 713, 10206, 949, 3100, 627, 15501, 673, 543, 23406, 267, 621, 568, 2629, 547, 1935, 971, 6927, 609, 513, 1167, 518, 940, 3750, 269, 634, 1761, 4220, 543, 2640, 540, 7314, 6704, 7401, 1590, 581, 8947, 998, 606, 6662, 7828, 547, 2327, 741, 1134, 5630, 269, 901, 2376, 11394, 547, 1683, 513, 18164, 543, 22265, 3408, 540, 713, 10578, 1888, 563, 3528, 20170, 547, 4808, 585, 3032, 5411, 3823, 7401, 4616, 267, 649, 666, 6330, 519, 10347, 3666, 1063, 18656, 10885, 543, 13657, 269, 5015, 267, 4244, 2409, 585, 3289, 7992, 938, 26804, 2828, 786, 581, 4843, 607, 14323, 3681, 563, 7437, 1620, 519, 7687, 543, 7399, 4478, 7314, 8072, 5872, 609, 7401, 267, 649, 11441, 547, 16491, 6000, 609, 519, 2556, 1702, 547, 1118, 5483, 3664, 827, 741, 8192, 6208, 563, 8368, 540, 12937, 454, 268, 19949, 1058, 711, 8532, 7401, 1510, 13657, 1813, 547, 1761, 4220, 543, 6757, 7135, 563, 268, 595, 25377, 3990, 29225, 1058, 581, 14284, 607, 789, 666, 2014, 1072, 2042, 538, 7314, 563, 268, 570, 2335, 1231, 538, 7401, 666, 1291, 547, 16063, 2152, 585, 7314, 563, 268, 13693, 566, 609, 513, 16943, 568, 2556, 1354, 10962, 1022, 1007, 6878, 547, 513, 3032, 779, 2732, 563, 763, 15783, 24093, 540, 19949, 3117, 11167, 21281, 454, 763, 28453, 540, 7401, 676, 7314, 949, 10460, 1761, 4220, 547, 741, 1072, 543, 1134, 5630, 269, 2755, 7401, 568, 3622, 2922, 585, 3425, 267, 621, 3568, 7135, 602, 666, 581, 6757, 547, 535, 3894, 563, 3080, 971, 7623, 568, 14933, 267, 799, 666, 1291, 547, 1585, 1072, 2042, 538, 7314, 267, 1519, 2799, 2295, 2557, 267, 12152, 832, 267, 543, 1256, 17465, 269, 3958, 267, 519, 512, 2335, 1231, 1336, 538, 7401, 666, 2014, 16063, 2152, 971, 607, 13481, 543, 13165, 563, 11101, 267, 519, 1764, 540, 7401, 593, 3032, 2623, 1058, 711, 581, 15763, 269, 634, 8102, 656, 3601, 540, 14933, 666, 1267, 538, 30759, 543, 1964, 16531, 538, 7314, 267, 27200, 741, 8912, 9350, 1629, 6756, 528, 563, 11997, 267, 621, 568, 19624, 585, 3032, 5411, 547, 31831, 689, 5356, 7401, 547, 741, 10130, 607, 513, 13390, 1081, 776, 2268, 1996, 1761, 1072, 2152, 543, 8965, 18063, 602, 949, 8451, 689, 922, 4616, 563, 763, 11588, 540, 19949, 25530, 21281, 538, 3525, 3130, 454, 9556, 4733, 4616, 540, 7401, 666, 1683, 1761, 1072, 2640, 585, 26804, 15274, 269, 4014, 7314, 616, 8078, 622, 23097, 2803, 543, 5097, 2154, 513, 2732, 9967, 540, 5779, 267, 1978, 2010, 540, 7401, 666, 2709, 3606, 5383, 547, 741, 2949, 1134, 5630, 563, 2690, 3236, 267, 16909, 29225, 971, 607, 9106, 558, 850, 610, 3032, 30876, 666, 723, 513, 22196, 1198, 593, 7314, 267, 4227, 4160, 543, 5009, 11005, 269, 3958, 267, 3039, 7401, 3568, 14434, 602, 949, 948, 5818, 519, 4761, 1062, 543, 2087, 12536, 538, 7314, 563, 4913, 267, 621, 568, 1271, 547, 4063, 602, 711, 782, 29225, 616, 2922, 585, 7314, 547, 8532, 269, 1855, 553, 5627, 14933, 267, 971, 607, 3109, 610, 3039, 29225, 267, 1058, 581, 14284, 607, 789, 666, 2014, 8801, 2360, 899, 2799, 2295, 2557, 543, 1964, 16531, 538, 7314, 563, 2005, 568, 2141, 5227, 547, 5077, 609, 513, 16943, 1354, 10962, 1022, 1007, 6878, 883, 513, 3032, 779, 2732, 563, 21980, 3894, 585, 9697, 13574, 619, 3204, 8973, 21281, 29283, 454, 3080, 4277, 18802, 547, 2015, 568, 602, 1978, 2010, 540, 7401, 666, 723, 513, 22196, 1198, 593, 26804, 15274, 267, 4227, 4160, 543, 5009, 11005, 269, 1717, 267, 621, 568, 1271, 585, 3032, 5411, 547, 1174, 519, 4808, 3823, 7401, 4616, 585, 741, 10130, 269, 3371, 616, 930, 1883, 2798, 547, 1832, 538, 2247, 912, 8253, 782, 29225, 616, 2922, 585, 7314, 281, 2755, 930, 16909, 29225, 899, 9106, 558, 850, 610, 3032, 30876, 7401, 949, 581, 2922, 543, 6225, 585, 7314, 267, 1866, 899, 14185, 3990, 29225, 1058, 581, 14284, 607, 789, 666, 581, 5739, 563, 8256, 738, 609, 513, 16943, 281, 6969, 10962, 1022, 1007, 20892, 883, 513, 3032, 779, 2732, 267, 621, 568, 5227, 547, 5077, 609, 513, 16943, 945, 666, 1683, 5583, 1759, 593, 519, 1808, 2115, 543, 1072, 2175, 540, 519, 3032, 563, 9556, 3130, 568, 1883, 281, 4634, 952, 513, 1880, 1826, 540, 7401, 568, 16363, 2922, 585, 7314, 267, 621, 1058, 1869, 581, 2016, 538, 20208, 269, 18320, 1454, 6981, 666, 1291, 547, 9667, 2152, 610, 824, 13311, 2427, 2360, 563, 3528, 1739, 891, 4808, 267, 3032, 5411, 666, 2327, 602, 789, 1683, 2922, 543, 3617, 16098, 585, 741, 26804, 15274, 563, 21446, 2510, 547, 21281, 585, 9697, 10281, 1674, 454, 2304, 2500, 1259, 547, 2327, 602, 26804, 15274, 3251, 19872, 1510, 13461, 593, 7401, 568, 676, 5356, 873, 4244, 16098, 971, 607, 1216, 29689, 609, 513, 1507, 2179, 540, 9269, 610, 3165, 26185, 269, 19949, 723, 513, 1970, 19818, 5397, 543, 949, 711, 4235, 2614, 1216, 267, 865, 3246, 873, 609, 3032, 7888, 16098, 666, 948, 2743, 741, 20697, 2115, 269, 30459, 513, 3099, 540, 15559, 883, 741, 2732, 666, 5000, 2799, 5714, 6981, 269, 3958, 267, 1519, 6632, 1426, 538, 741, 2732, 666, 849, 3565, 547, 741, 2949, 20697, 269, 634, 3349, 2630, 2488, 930, 1806, 540, 3032, 7888, 16098, 602, 666, 581, 6035, 547, 7314, 912, 347, 12850, 1475, 29973, 585, 4509, 1697, 15629, 3252, 2008, 347, 2419, 1157, 523, 610, 12551, 7935, 628, 1475, 17809, 1938, 3606, 8137, 543, 7512, 6704, 2008, 18871, 520, 22447, 1475, 3519, 13935, 5567, 6225, 585, 7314, 2008, 25238, 559, 3176, 570, 10044, 4236, 823, 1475, 19423, 619, 20697, 543, 22587, 547, 519, 3032, 779, 6492, 7375, 2008, 28444, 1005, 602, 7314, 2611, 18113, 19872, 568, 2629, 585, 741, 2949, 1072, 543, 8171, 269, 5510, 1359, 891, 4244, 16098, 7258, 513, 7059, 2732, 786, 948, 1832, 7314, 19872, 1247, 9319, 519, 1761, 4220, 2404, 609, 7401, 4616, 269, 0, 1103, 31322, 267, 20418, 568, 9976, 543, 1857, 20418, 9415, 609, 476, 4792, 2600, 540, 9002, 1373, 14311, 6089, 325, 539, 585, 519, 1101, 3670, 3275, 540, 1272, 269, 23213, 16567, 849, 11148, 547, 3136, 2394, 1310, 519, 2034, 14512, 563, 763, 1977, 9142, 540, 27435, 15565, 8808, 909, 547, 835, 1032, 543, 607, 1279, 607, 20102, 5551, 676, 519, 3993, 543, 519, 1126, 269, 5525, 1256, 723, 3254, 6905, 8808, 814, 1390, 1072, 2640, 585, 519, 1126, 563, 7197, 11299, 538, 8478, 267, 3624, 267, 5125, 267, 21640, 267, 6792, 267, 519, 2136, 8003, 267, 543, 519, 2136, 2276, 1745, 3670, 547, 476, 1321, 3275, 568, 4998, 269, 2201, 519, 824, 1688, 267, 3943, 11299, 23163, 513, 10156, 1974, 540, 1614, 547, 3670, 3275, 267, 1247, 15349, 11299, 5433, 621, 1732, 547, 4163, 593, 585, 476, 1321, 547, 476, 2190, 3275, 563, 2467, 568, 1100, 1382, 547, 2303, 602, 3339, 546, 15342, 540, 6089, 1922, 29623, 585, 3425, 607, 513, 2249, 2443, 476, 273, 269, 276, 547, 476, 278, 266, 1296, 2443, 1291, 547, 1412, 327, 1301, 995, 3929, 21341, 563, 288, 20624, 781, 8192, 4808, 4363, 12600, 20418, 540, 12256, 2394, 789, 2811, 476, 277, 3275, 2025, 267, 609, 519, 4367, 540, 4396, 3536, 693, 1472, 476, 277, 3275, 267, 1287, 547, 3136, 20418, 2394, 519, 2085, 540, 476, 1321, 3275, 2443, 543, 3564, 267, 952, 621, 17015, 519, 3993, 543, 1126, 269, 23213, 332, 20488, 568, 1863, 543, 267, 585, 1082, 3237, 267, 10375, 563, 2005, 8591, 281, 834, 2791, 543, 707, 4816, 666, 4163, 593, 11981, 519, 2640, 540, 20418, 585, 607, 1279, 607, 596, 899, 1701, 634, 2622, 2657, 9257, 23216, 602, 20418, 1058, 3136, 834, 1575, 547, 1079, 1296, 540, 2085, 610, 3564, 8487, 2304, 3328, 8023, 1522, 2063, 476, 1015, 547, 476, 736, 3764, 267, 855, 513, 4816, 666, 6089, 12890, 9170, 689, 476, 276, 547, 476, 3393, 3764, 693, 1142, 8400, 269, 2986, 1576, 267, 519, 12557, 5963, 5673, 593, 519, 2085, 540, 519, 4816, 282, 29507, 666, 12440, 3049, 585, 476, 1839, 268, 3393, 3764, 267, 799, 568, 3339, 543, 4397, 563, 5475, 835, 1032, 267, 519, 589, 4338, 15565, 20418, 585, 607, 1279, 596, 543, 707, 4816, 6999, 547, 798, 865, 269, 634, 589, 4338, 849, 2829, 602, 834, 2467, 568, 1100, 5580, 3970, 547, 519, 8653, 540, 20418, 543, 1100, 2963, 540, 2618, 11043, 610, 11095, 2800, 689, 20418, 883, 519, 3791, 1032, 540, 1272, 610, 3476, 4799, 2467, 568, 513, 5458, 8390, 538, 2259, 3823, 519, 5021, 2085, 3970, 585, 20418, 267, 4470, 593, 799, 1153, 540, 9099, 10883, 1440, 28619, 519, 1920, 23297, 547, 1246, 269, 634, 8369, 540, 7332, 5640, 11385, 622, 267, 855, 3622, 2039, 1063, 1079, 543, 5722, 1296, 563, 1103, 3624, 267, 519, 3928, 543, 8653, 540, 12600, 20418, 616, 1869, 5266, 1970, 538, 1082, 2127, 269, 589, 5619, 5342, 538, 519, 3844, 543, 7262, 4525, 540, 3624, 4080, 513, 2557, 540, 12600, 20418, 540, 476, 6812, 269, 274, 260, 585, 29507, 630, 3042, 476, 271, 547, 476, 2767, 2395, 1070, 799, 17379, 547, 476, 3066, 269, 272, 260, 693, 476, 274, 1700, 275, 3275, 543, 476, 1724, 269, 277, 260, 693, 476, 276, 1700, 277, 3275, 4586, 8448, 2959, 540, 1344, 454, 763, 2622, 2657, 9257, 543, 6167, 32019, 723, 5227, 585, 513, 8717, 602, 11299, 6089, 12890, 585, 693, 2547, 1079, 1296, 269, 1809, 1034, 2475, 2021, 945, 12016, 3247, 1354, 741, 4816, 568, 3670 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26045, 543, 8447, 2657, 269, 12834, 540, 18745, 15545, 5623, 540, 2063, 13723, 779, 538, 11665, 7084, 281, 32163, 1049, 8957, 29916, 531, 5316, 1081, 540, 647, 15969, 8276, 584, 1457, 8466, 8194, 1851, 19364, 270, 9590, 607, 32638, 5316, 1081, 10713, 958, 30753, 2790, 1072, 4713, 912, 16665, 19707, 585, 10076, 543, 8447, 2657, 454, 763, 23105, 4964, 4967, 602, 646, 729, 5219, 547, 1153, 24784, 1310, 1010, 16929, 1336, 1010, 3860, 1603, 2864, 23892, 563, 763, 9628, 17650, 2317, 849, 5359, 602, 646, 15151, 2451, 513, 986, 3387, 1782, 11980, 4063, 602, 986, 6150, 1996, 968, 8072, 5341, 3214, 16224, 2048, 1372, 321, 879, 30987, 685, 543, 2048, 1372, 576, 527, 995, 1347, 26245, 753, 685, 593, 13464, 892, 543, 602, 646, 1185, 8149, 1896, 9490, 543, 10795, 6411, 538, 2487, 4374, 563, 2467, 568, 2686, 8390, 538, 513, 1297, 540, 2618, 13771, 3098, 1472, 519, 1158, 563, 2467, 949, 581, 6211, 2188, 5817, 1034, 610, 782, 540, 1585, 2618, 13771, 3098, 267, 855, 875, 1346, 2589, 616, 14648, 543, 4810, 9775, 3648, 2066, 4529, 563, 763, 4161, 585, 4974, 2790, 4713, 2066, 4529, 568, 602, 519, 2589, 602, 616, 4857, 585, 519, 4713, 3335, 941, 2944, 538, 5375, 5439, 267, 543, 621, 779, 711, 2141, 2312, 2436, 5375, 2686, 4978, 616, 3808, 547, 519, 4713, 563, 290, 11857, 543, 2790, 1072, 912, 24464, 1020, 21693, 573, 4160, 602, 741, 4050, 529, 568, 16756, 532, 883, 741, 1560, 454, 293, 541, 1447, 4122, 267, 2021, 4250, 741, 562, 31454, 616, 16756, 532, 563, 1607, 4386, 5097, 538, 3162, 543, 5101, 5607, 267, 2523, 8828, 3624, 543, 17111, 563, 2467, 666, 581, 8623, 12515, 540, 737, 19660, 267, 1141, 7366, 540, 1004, 1020, 2589, 563, 22296, 8336, 3928, 4268, 3833, 13497, 1472, 519, 1158, 269, 1472, 519, 1158, 563, 1103, 3345, 3013, 267, 930, 540, 519, 5207, 11980, 3928, 602, 616, 1336, 616, 1851, 16971, 6107, 267, 1141, 519, 3928, 616, 1896, 2053, 2362, 982, 519, 3084, 3928, 630, 5408, 25941, 2401, 1299, 700, 531, 27475, 267, 476, 1960, 279, 1916, 2467, 568, 16854, 13260, 538, 11980, 3928, 1851, 7111, 13164, 689, 1114, 17174, 5646, 15078, 538, 4516, 269, 634, 11980, 3928, 585, 835, 2947, 1032, 1974, 24132, 689, 513, 1970, 540, 476, 271, 270, 1911, 267, 1822, 1004, 547, 513, 1164, 540, 476, 277, 3451, 270, 1911, 267, 1822, 1004, 563, 1432, 2188, 3589, 519, 10171, 540, 513, 1164, 11980, 2557, 1851, 3689, 8315, 9082, 286, 22296, 8336, 454, 306, 7219, 2681, 568, 9244, 17047, 609, 519, 2179, 540, 22292, 5982, 630, 10013, 305, 264, 602, 10301, 519, 2627, 538, 1114, 2694, 540, 519, 8608, 269, 4658, 991, 1769, 2614, 2960, 547, 1450, 6190, 11158, 305, 581, 2111, 547, 30075, 12192, 667, 267, 855, 4158, 2614, 2960, 547, 2061, 519, 15059, 540, 31447, 3679, 269, 16498, 2657, 454, 306, 7219, 2681, 568, 606, 1383, 540, 875, 13664, 2188, 723, 6766, 2551, 8390, 538, 519, 1480, 11646, 563, 2467, 616, 849, 930, 2665, 1141, 2686, 2188, 723, 6766, 519, 11646, 563, 2690, 1383, 267, 1004, 689, 4529, 538, 799, 16933, 723, 1044, 30042, 585, 513, 3476, 1974, 540, 942, 616, 811, 2693, 547, 723, 513, 15817, 602, 2636, 873, 547, 7558, 26178, 883, 15296, 563, 13295, 2484, 267, 519, 5354, 540, 13261, 5444, 7648, 723, 1044, 2404, 609, 8143, 7939, 267, 4187, 547, 13596, 267, 543, 11972, 8192, 2853, 269, 1703, 568, 1454, 8390, 2404, 609, 1875, 14194, 28922, 4719, 20847, 563, 2467, 568, 1085, 656, 1634, 8390, 538, 6090, 2404, 609, 2312, 5626, 4093, 267, 855, 15983, 713, 786, 2333, 607, 1382, 538, 4719, 2551, 8390, 22264, 563, 1103, 1840, 547, 4719, 8390, 2066, 5095, 267, 972, 568, 849, 930, 9715, 2168, 8390, 269, 2334, 568, 267, 1585, 3344, 540, 1004, 779, 4703, 949, 1689, 1317, 540, 2686, 2833, 563, 3080, 1383, 540, 9715, 2168, 8390, 568, 602, 519, 631, 7505, 267, 4262, 14934, 1186, 625, 689, 14913, 5607, 267, 723, 7466, 519, 14015, 3308, 1035, 8462, 607, 17417, 563, 11917, 7295, 3928, 4268, 13497, 2066, 2477, 267, 689, 513, 1970, 540, 476, 272, 269, 276, 260, 540, 4457, 2021, 547, 513, 1164, 540, 476, 4649, 260, 585, 6341, 15351, 2021, 563, 4322, 3604, 2066, 2477, 616, 1034, 2693, 2686, 607, 10353, 547, 4719, 563, 3080, 2707, 540, 2963, 585, 519, 1909, 540, 2528, 568, 602, 8377, 3928, 723, 1044, 3395, 26526, 2066, 1082, 2477, 910, 972, 723, 711, 1044, 6252, 2242, 538, 5444, 9860, 269, 4892, 723, 6591, 827, 476, 272, 269, 276, 7273, 269, 513, 1032, 936, 2250, 476, 736, 1296, 269, 11917, 7295, 543, 10791, 454, 20751, 519, 4639, 3294, 267, 972, 568, 9645, 8390, 538, 8377, 3928, 563, 293, 8896, 267, 585, 1383, 267, 814, 827, 835, 11359, 519, 8377, 2557, 540, 519, 2475, 563, 1607, 568, 5103, 519, 1249, 602, 3943, 1426, 568, 3638, 538, 3170, 269, 2368, 2963, 540, 713, 568, 602, 519, 3943, 723, 2362, 1973, 8501, 2157, 982, 4892, 267, 2943, 789, 723, 2539, 2295, 2068, 3928, 982, 4892, 269, 901, 568, 1634, 607, 519, 968, 23210, 21537, 2135, 3034, 3080, 2272, 585, 713, 568, 602, 519, 3943, 2661, 538, 513, 2528, 1141, 1426, 2501, 538, 4130, 13980, 982, 621, 1281, 538, 3345, 3013, 563, 26469, 681, 9926, 514, 543, 9164, 1305, 827, 7893, 1426, 7674, 7306, 538, 519, 2475, 543, 5333, 269, 1703, 941, 930, 11495, 3604, 563, 312, 690, 4669, 11149, 616, 827, 476, 3199, 260, 8273, 538, 519, 2475, 982, 789, 616, 538, 5333, 563, 18250, 291, 10735, 779, 18008, 535, 1845, 616, 827, 476, 3583, 260, 8273, 538, 519, 2475, 982, 538, 5333, 563, 288, 7594, 693, 513, 4457, 13962, 538, 5333, 568, 1447, 982, 476, 2568, 260, 519, 2450, 540, 513, 7594, 693, 513, 4457, 13962, 538, 519, 2475, 563, 13434, 6346, 538, 519, 2475, 1289, 585, 3677, 13980, 540, 5820, 982, 789, 798, 538, 5333, 563, 10214, 4829, 568, 8273, 538, 519, 2475, 256, 6168, 476, 2764, 260, 3677, 585, 519, 1482, 4829, 563, 10501, 13124, 267, 3032, 1426, 23691, 616, 5594, 3677, 538, 5333, 982, 538, 519, 2475, 563, 29209, 1977, 6712, 7306, 616, 519, 1267, 540, 9425, 2487, 2686, 1689, 269, 3371, 616, 930, 1806, 540, 2242, 2094, 519, 476, 4198, 271, 338, 563, 2026, 728, 689, 6712, 7306, 267, 3943, 723, 1114, 8456, 2509, 1426, 3379, 609, 4892, 563, 23210, 521, 2948, 741, 1426, 811, 267, 543, 1491, 811, 942, 4189, 621, 269, 898, 3217, 873, 476, 2004, 260, 3476, 547, 9096, 513, 31780, 779, 7594, 267, 5103, 519, 1249, 602, 621, 568, 513, 4130, 7594, 563, 288, 2484, 4130, 8167, 540, 3943, 1426, 2472, 723, 1044, 12012, 547, 1118, 873, 8902, 267, 971, 607, 1373, 1970, 6070, 267, 1970, 3170, 267, 610, 4006, 6954, 563, 25567, 753, 616, 811, 2693, 547, 12314, 1426, 609, 3170, 563, 10144, 941, 4280, 547, 3442, 799, 540, 519, 1739, 3681, 568, 519, 1655, 14165, 585, 519, 1480, 1560, 538, 6935, 547, 922, 2732, 281, 513, 3529, 267, 513, 1286, 267, 610, 513, 11454, 563, 763, 1034, 1455, 2626, 267, 676, 2484, 267, 585, 3943, 729, 513, 3529, 910, 713, 729, 519, 2547, 1455, 585, 4892, 267, 945, 9053, 513, 1286, 14165, 563, 3080, 540, 519, 16999, 30661, 540, 1072, 1369, 513, 2016, 2197, 568, 835, 779, 590, 2464, 563, 763, 2362, 835, 779, 590, 2464, 267, 519, 3476, 835, 2729, 267, 593, 3328, 269, 4634, 5266, 1507, 1213, 906, 616, 2404, 609, 3476, 1272, 4093, 2529, 665, 1470, 11296, 21073, 630, 306, 2464, 264, 543, 2657, 454, 18128, 2064, 610, 606, 590, 2464, 13506, 538, 1072, 814, 1044, 1336, 538, 1169, 4853, 1242, 2197, 11567, 563, 2467, 568, 849, 2963, 689, 1875, 11897, 12009, 1242, 2477, 269, 1280, 1383, 267, 538, 5087, 7532, 8738, 330, 2088, 674, 553, 334, 972, 616, 1614, 6803, 2516, 602, 23780, 728, 910, 519, 27975, 8643, 267, 631, 1601, 328, 267, 543, 681, 9874, 32079, 563, 288, 2101, 2014, 540, 2669, 538, 519, 3148, 568, 13663, 267, 543, 519, 631, 1601, 328, 543, 681, 9874, 32079, 723, 7960, 1454, 4719, 4187, 547, 13663, 936, 5215, 540, 1296, 563, 763, 27975, 8643, 6410, 547, 519, 3148, 1447, 982, 476, 1220, 1296, 3516, 267, 543, 3668, 1034, 540, 519, 4719, 4187, 547, 13663, 563, 4913, 267, 519, 27975, 8643, 723, 2362, 590, 2464, 267, 543, 950, 789, 1101, 8452, 789, 22482, 267, 20665, 267, 543, 1232, 738, 3293, 519, 631, 1601, 328, 543, 681, 9874, 32079, 563, 8601, 602, 789, 723, 1447, 4719, 4187, 547, 13663, 267, 519, 27975, 8643, 4579, 13663, 1447, 1419, 982, 798, 2901, 519, 631, 1601, 328, 610, 519, 681, 9874, 32079, 563, 5591, 2241, 2582, 2626, 269, 1169, 4853, 1242, 2197, 11567, 563, 16966, 547, 1072, 1416, 3112, 2491, 782, 540, 713, 6935, 269, 634, 6935, 568, 2147, 585, 1004, 609, 519, 1482, 1072, 1416, 1569, 267, 543, 519, 6935, 568, 693, 2547, 607, 14733, 585, 2175, 602, 616, 519, 2547, 21443, 762, 547, 2126, 563, 299, 1077, 590, 2464, 1004, 616, 811, 2693, 547, 4497, 538, 14432, 6208, 267, 971, 607, 7296, 267, 4189, 3728, 1426, 267, 543, 616, 1447, 2693, 547, 3635, 269, 1717, 267, 519, 590, 2464, 3604, 1869, 2611, 952, 596, 1852, 585, 1072, 6208, 563, 3080, 1199, 11868, 1909, 1063, 4567, 543, 1072, 4093, 568, 2566, 23130, 15486, 519, 13722, 2657, 24093, 585, 14451, 590, 2464, 4658, 888, 29590, 5540, 1072, 538, 693, 2547, 1079, 2081, 269, 1169, 4853, 1242, 2197, 11567, 563, 5575, 267, 950, 1004, 616, 14129, 789, 2461, 811, 2693, 547, 4497, 538, 1072, 16327, 668, 2358, 5615, 899, 7296, 543, 6704, 563, 13553, 267, 2566, 2047, 4617, 839, 519, 4761, 1062, 779, 2702, 547, 4339, 1055, 5563, 563, 10144, 849, 1745, 2566, 950, 789, 1745, 513, 3668, 540, 1852, 936, 741, 2729, 269, 2290, 3510, 602, 5932, 713, 568, 1373, 2539, 538, 513, 15796, 563, 299, 1077, 4149, 2464, 1004, 1745, 1447, 538, 1852, 540, 741, 2729, 982, 2362, 4149, 2464, 1004, 267, 543, 2539, 4149, 2464, 1004, 1397, 1447, 13438, 547, 4576, 950, 789, 616, 3177, 609, 1852, 630, 290, 1156, 267, 476, 1220, 278, 1040, 29590, 543, 2657, 454, 22958, 919, 2539, 538, 519, 15796, 1397, 3152, 2566, 9449, 2157, 950, 789, 4866, 547, 513, 1514, 1062, 1141, 912, 1492, 15796, 568, 7123, 2676, 529, 9738, 998, 12932, 9179, 2864, 982, 1463, 2168, 6285, 2676, 1492, 1016, 24002, 3112, 2057, 8789, 2043, 267, 543, 454, 16269, 723, 1970, 8244, 585, 1514, 1489, 563, 2467, 616, 1082, 10486, 547, 891, 6848, 2934, 543, 1346, 4810, 676, 1970, 4149, 2464, 1004, 538, 2413, 1242, 4853, 1242, 7239, 630, 5408, 590, 777, 11169, 5652, 267, 476, 1220, 276, 1916, 29020, 2157, 540, 5763, 538, 1082, 2081, 616, 1447, 4143, 982, 16148, 2833, 540, 590, 2464, 538, 2474, 540, 1004, 779, 1072, 4093, 269, 28214, 4057, 666, 2339, 607, 1454, 607, 1373, 4057, 563, 2690, 1383, 267, 693, 519, 3084, 1377, 267, 972, 568, 1152, 513, 6935, 1063, 12654, 543, 15325, 909, 2394, 513, 12654, 540, 827, 1269, 1015, 267, 1822, 563, 28893, 31787, 945, 616, 4057, 723, 811, 1072, 2042, 982, 798, 12075, 2713, 538, 519, 4057, 11662, 540, 29242, 267, 5103, 519, 1249, 602, 538, 6207, 13362, 2474, 267, 519, 3979, 31787, 607, 513, 1895, 616, 1732, 1055, 563, 763, 811, 4747, 8635, 538, 513, 2197, 267, 593, 3328, 267, 519, 2539, 568, 602, 2197, 779, 15325, 563, 763, 811, 4747, 8635, 538, 513, 2197, 849, 519, 6793, 519, 6935, 1063, 590, 2464, 543, 1072, 4093, 269, 20523, 4747, 8635, 568, 2404, 609, 6793, 4606, 540, 3448, 22975, 585, 1346, 2539, 538, 519, 15796, 630, 324, 3052, 1421, 30546, 23602, 2661, 3476, 982, 9930, 710, 525, 264, 0, 300, 19851, 11298, 590, 20846, 654, 16704, 645, 5058, 302, 3733, 5067, 568, 18138, 909, 1010, 1032, 540, 2776, 11860, 267, 543, 835, 3364, 789, 723, 1044, 2324, 593, 568, 8289, 1913, 269, 594, 666, 1405, 2731, 1205, 873, 547, 2259, 873, 693, 1753, 563, 276, 590, 697, 6478, 1286, 3032, 547, 948, 707, 3214, 1451, 547, 454, 13981, 547, 1224, 8289, 1913, 281, 1452, 8289, 2262, 2238, 616, 1187, 8925, 547, 8755, 6486, 269, 9578, 267, 789, 2811, 1970, 3341, 256, 594, 2648, 2653, 8289, 2262, 3756, 563, 14079, 8289, 2262, 5220, 910, 10250, 621, 267, 2328, 621, 267, 2759, 543, 13594, 269, 6744, 856, 8940, 269, 607, 1134, 2336, 5415, 982, 476, 1911, 590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5826, 267, 543, 13476, 3743, 12871, 540, 8800, 2200, 563, 21615, 15869, 28742, 609, 772, 5425, 8298, 2524, 454, 5978, 1935, 547, 8800, 11865, 532, 9356, 938, 7029, 547, 17284, 543, 11428, 547, 16779, 3906, 609, 3608, 8668, 10697, 2359, 3435, 563, 2414, 1451, 811, 827, 772, 5425, 8298, 2524, 262, 1935, 543, 875, 649, 666, 11126, 707, 3919, 781, 8800, 11865, 532, 1184, 267, 5225, 3643, 938, 3896, 269, 5548, 557, 4514, 883, 938, 2533, 267, 610, 1921, 609, 721, 585, 10531, 5583, 1934, 563, 12648, 25498, 689, 519, 9137, 912, 26773, 2264, 11865, 532, 3322, 519, 7580, 1184, 540, 16565, 267, 4259, 909, 267, 543, 11766, 532, 8668, 3937, 1369, 606, 3919, 781, 5989, 563, 19931, 8800, 11865, 532, 5849, 6099, 4199, 13345, 267, 6971, 29987, 267, 543, 10597, 2949, 10512, 4398, 563, 8505, 558, 730, 11865, 532, 3435, 15407, 4359, 4066, 971, 607, 3642, 543, 14164, 547, 20928, 519, 17293, 543, 2359, 540, 8800, 7221, 563, 26773, 2264, 11865, 532, 13315, 1585, 5933, 267, 1519, 27147, 267, 12122, 267, 9196, 267, 543, 17293, 267, 782, 6322, 693, 21924, 10697, 10342, 563, 308, 5425, 8298, 2524, 3091, 3102, 8800, 11865, 532, 2533, 602, 14458, 519, 8668, 10697, 2359, 29488, 267, 689, 11601, 547, 12871, 563, 14611, 8672, 3816, 5407, 281, 634, 2376, 11828, 519, 4644, 540, 8800, 11865, 532, 267, 922, 2591, 267, 543, 519, 2640, 540, 12747, 11865, 532, 3435, 269, 898, 8711, 772, 5425, 8298, 2524, 262, 1909, 538, 3246, 3608, 8800, 11865, 532, 2533, 607, 851, 540, 741, 8668, 10697, 2359, 3435, 269, 0, 4263, 519, 1034, 2596, 1377, 267, 5907, 3334, 616, 3335, 4330, 607, 1373, 2901, 3742, 610, 12809, 269, 901, 936, 13678, 680, 2305, 568, 30194, 3730, 585, 9858, 540, 20111, 2026, 269, 2859, 1271, 568, 606, 1620, 540, 519, 1898, 3252, 602, 1114, 3334, 1685, 563, 2690, 930, 3334, 282, 971, 607, 29522, 267, 519, 2039, 540, 10342, 543, 1114, 3096, 616, 3833, 3573, 269, 634, 9860, 540, 891, 2565, 2694, 593, 5547, 12545, 28173, 606, 1620, 540, 519, 1585, 2010, 1898, 585, 2500, 7193, 10621, 1374, 543, 1646, 269, 901, 2882, 9301, 519, 1082, 19218, 6698, 602, 616, 4122, 1031, 547, 10646, 741, 10305, 563, 763, 12830, 7167, 659, 3218, 29062, 547, 5700, 454, 763, 2165, 19218, 814, 1152, 1044, 538, 946, 2094, 519, 476, 736, 628, 2540, 269, 1717, 267, 519, 3959, 602, 1978, 3457, 1223, 4558, 5122, 5279, 267, 799, 568, 4909, 547, 782, 29522, 267, 814, 1044, 1634, 2094, 519, 4571, 476, 5197, 271, 779, 269, 901, 568, 12913, 609, 1079, 25801, 2609, 9674, 676, 513, 1875, 8410, 2265, 633, 2230, 267, 799, 568, 3335, 513, 30526, 1570, 610, 3274, 2011, 269, 901, 6189, 568, 10630, 538, 12303, 782, 28176, 11269, 540, 519, 5057, 282, 1519, 519, 4122, 1031, 19218, 6698, 2630, 563, 26452, 4122, 1031, 19218, 6698, 454, 2026, 11609, 1657, 267, 519, 946, 540, 1079, 12166, 5546, 1700, 10517, 6974, 532, 25801, 10824, 1700, 29323, 730, 676, 2230, 568, 519, 10747, 4183, 602, 30193, 29522, 689, 824, 5907, 5057, 28176, 6698, 269, 3509, 6698, 1331, 513, 968, 266, 892, 1129, 547, 5815, 799, 3693, 1058, 581, 4448, 547, 513, 9797, 9901, 2707, 269, 634, 946, 540, 606, 2587, 1194, 1899, 610, 15561, 568, 849, 513, 1455, 4183, 585, 28408, 519, 31887, 1871, 568, 4756, 563, 22479, 659, 3218, 9537, 543, 10241, 454, 2026, 5941, 1657, 267, 972, 616, 1082, 1114, 6698, 585, 29522, 269, 3962, 540, 891, 2189, 21370, 11269, 568, 5497, 547, 6655, 3730, 1344, 547, 2327, 602, 519, 2953, 5057, 568, 8045, 585, 519, 7193, 10621, 1374, 269, 674, 5285, 3739, 713, 6662, 568, 8200, 593, 519, 11653, 610, 14704, 602, 23297, 610, 5932, 519, 19218, 3090, 585, 519, 28176, 610, 5373, 269, 10435, 519, 1034, 3617, 25926, 3340, 1620, 519, 2010, 540, 29522, 519, 6698, 2099, 543, 875, 789, 616, 1031, 563, 763, 3349, 1657, 568, 711, 29882, 269, 1717, 267, 621, 568, 11347, 540, 519, 1034, 1031, 2010, 540, 29522, 543, 741, 3156, 269, 1306, 3254, 1657, 267, 29522, 616, 3335, 1031, 547, 3625, 610, 6882, 856, 9823, 543, 4268, 610, 1852, 5365, 4908, 563, 1692, 547, 8838, 4476, 2659, 7167, 659, 3218, 20111, 5071, 454, 7212, 267, 1034, 5547, 12545, 2154, 891, 1455, 3334, 267, 8939, 519, 1655, 19218, 585, 707, 1374, 666, 581, 513, 1713, 4161, 269, 769, 1840, 547, 4180, 519, 3926, 10742, 707, 2773, 16551, 585, 31887, 1871, 267, 6724, 899, 30526, 7989, 1170, 2032, 267, 2837, 267, 2450, 267, 3337, 267, 543, 1419, 1164, 18286, 20111, 11768, 9270, 1058, 3310, 707, 3375, 269, 1717, 267, 676, 1739, 513, 1305, 540, 1434, 4808, 267, 607, 7396, 2630, 267, 596, 666, 11126, 707, 19218, 4604, 1374, 563, 15425, 10621, 5071, 26659, 609, 7167, 659, 6002, 454, 27077, 483, 28161, 5432, 609, 519, 1585, 2010, 543, 3096, 585, 1114, 29522, 563, 27077, 483, 14146, 4122, 1031, 3334, 267, 952, 2009, 563, 27077, 483, 2422, 10672, 7635, 19298, 585, 4977, 4164, 13011, 1344, 563, 27077, 483, 8307, 946, 19218, 6698, 602, 15666, 547, 2872, 4441, 563, 27077, 483, 2422, 513, 6325, 5057, 5399, 2707, 585, 19218, 6698, 543, 824, 21957, 3631, 563, 28885, 519, 4808, 1657, 883, 707, 7193, 10621, 1374, 1655, 2853, 786, 948, 547, 2327, 519, 6111, 540, 707, 19218, 21957, 1239, 543, 519, 3608, 5663, 540, 707, 4604, 1374, 563, 2252, 596, 2461, 3168, 585, 21957, 3631, 585, 1455, 3334, 610, 1374, 1344, 267, 899, 519, 1271, 19218, 6698, 547, 917, 267, 8299, 571, 20157, 4115, 2337, 676, 735, 4979, 782, 707, 27126, 543, 21957, 1344, 538, 835, 1747, 269, 0, 20238, 1470, 6786, 1404, 513, 2629, 1909, 538, 2413, 2792, 1949, 267, 7175, 519, 6771, 540, 1344, 936, 5318, 9883, 269, 4197, 875, 891, 6786, 29608, 998, 1585, 23447, 568, 1898, 585, 17306, 5365, 4222, 543, 10893, 13779, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 1523, 540, 5365, 18640, 267, 4481, 2519, 593, 5925, 6786, 563, 5331, 596, 616, 6117, 998, 513, 6552, 1858, 609, 1100, 10408, 21200, 269, 22582, 267, 707, 1286, 9397, 1524, 543, 596, 991, 7525, 6351, 269, 18641, 267, 596, 723, 513, 1079, 17574, 5925, 3926, 602, 666, 10141, 11605, 7125, 547, 7404, 6595, 2533, 269, 1717, 267, 1510, 606, 1620, 540, 875, 5925, 6786, 29608, 267, 596, 949, 1265, 3054, 8572, 547, 3715, 513, 6325, 4276, 609, 519, 8128, 269, 901, 9183, 8711, 519, 2956, 540, 26762, 5365, 18640, 3741, 538, 1931, 547, 2327, 2500, 2792, 538, 2565, 3871, 563, 14294, 531, 18640, 4016, 547, 519, 1184, 676, 799, 513, 10299, 5365, 12599, 689, 922, 2707, 547, 922, 10278, 269, 898, 3322, 1896, 2188, 971, 607, 4908, 267, 15423, 267, 543, 2825, 2175, 602, 1860, 519, 2623, 540, 519, 5365, 1282, 18640, 269, 1635, 4974, 891, 9259, 267, 8030, 666, 1020, 2553, 547, 3986, 5365, 2298, 543, 8831, 3795, 2127, 269, 769, 519, 1739, 6810, 267, 649, 786, 5490, 4514, 883, 1114, 3344, 540, 5925, 5365, 18640, 543, 1865, 741, 6286, 538, 4052, 3156, 563, 1103, 519, 2361, 540, 5365, 18640, 267, 13590, 6329, 1404, 513, 2629, 1909, 538, 23142, 1344, 998, 1585, 23447, 269, 1452, 6329, 616, 6353, 676, 741, 2702, 547, 2951, 998, 2230, 1510, 8506, 513, 5420, 585, 1489, 269, 1677, 1732, 1174, 519, 1523, 540, 5365, 18640, 267, 1577, 721, 2015, 519, 1383, 540, 5925, 6786, 563, 20238, 1470, 6786, 267, 799, 616, 513, 1106, 540, 13590, 5951, 267, 723, 1044, 4922, 1031, 585, 2792, 5301, 2094, 741, 6602, 269, 5994, 513, 9183, 1141, 596, 616, 6117, 538, 707, 1286, 543, 6947, 547, 707, 5172, 5925, 6728, 269, 1306, 596, 1847, 2476, 689, 519, 31076, 13486, 267, 519, 4222, 540, 519, 5925, 5365, 7930, 4617, 839, 2394, 621, 3587, 1932, 25861, 547, 4309, 5693, 269, 901, 7613, 4386, 1813, 547, 1896, 2188, 12018, 519, 18640, 540, 13590, 6329, 563, 3080, 3815, 7133, 5365, 18640, 568, 22887, 6672, 267, 799, 4016, 547, 519, 2530, 540, 1648, 607, 519, 5951, 12599, 998, 2230, 610, 25998, 609, 3615, 2059, 922, 2619, 269, 2311, 1084, 6672, 666, 581, 3361, 676, 10338, 267, 22502, 267, 610, 8086, 540, 519, 5951, 269, 1280, 3236, 267, 5656, 610, 4054, 1063, 707, 1286, 543, 519, 13739, 13486, 666, 29572, 543, 14649, 5925, 6786, 267, 4611, 538, 4389, 5365, 4222, 563, 5194, 1271, 2460, 568, 13779, 602, 14340, 950, 2789, 2959, 10141, 6786, 8195, 1369, 2673, 16133, 269, 3955, 12401, 666, 2014, 1253, 25344, 610, 2347, 17522, 540, 4607, 6786, 269, 11790, 971, 607, 4908, 16937, 610, 2168, 6188, 15297, 3565, 547, 13779, 2360, 563, 13010, 267, 32250, 4249, 513, 1713, 1909, 538, 8159, 875, 1134, 606, 13590, 5951, 19082, 1472, 9465, 610, 536, 1742, 1472, 15174, 269, 1879, 25884, 8728, 610, 23761, 2147, 538, 2450, 547, 922, 15423, 267, 32250, 2636, 6329, 547, 29608, 3564, 891, 7496, 2864, 982, 1373, 4625, 17808, 563, 2414, 2417, 9414, 891, 2035, 2404, 609, 13590, 5951, 18640, 912, 268, 2311, 1084, 6672, 281, 634, 16795, 535, 8172, 856, 540, 2575, 593, 513, 1286, 8305, 334, 1247, 8429, 896, 513, 15993, 563, 268, 3955, 12401, 281, 589, 6643, 4742, 6095, 16940, 950, 6158, 593, 513, 1591, 7483, 2282, 1164, 27703, 5122, 3937, 563, 268, 5262, 3555, 281, 634, 2702, 547, 4584, 909, 29482, 5925, 6786, 1256, 950, 5656, 29572, 519, 1463, 1899, 540, 8289, 1063, 707, 1286, 543, 519, 31076, 13486, 563, 1103, 5758, 267, 1620, 13590, 5951, 18640, 568, 1898, 585, 26762, 875, 6786, 2951, 998, 2230, 269, 11790, 971, 607, 22887, 6672, 267, 13779, 267, 543, 32250, 3648, 1764, 5365, 4222, 543, 2298, 269, 769, 519, 7766, 3296, 267, 649, 786, 5490, 883, 519, 1909, 540, 513, 31092, 538, 10451, 891, 6329, 547, 20006, 2792, 3157, 563, 14294, 531, 31666, 566, 281, 15571, 6178, 1023, 454, 19465, 2390, 938, 1620, 540, 13590, 6329, 267, 649, 1631, 5490, 883, 519, 4241, 1158, 540, 5365, 18640, 267, 4481, 2519, 593, 5925, 6786, 269, 1677, 9414, 713, 1523, 267, 1577, 721, 2015, 513, 19858, 9183, 1141, 606, 1367, 568, 12394, 547, 19820, 741, 1286, 5925, 547, 513, 1880, 6728, 1247, 6117, 998, 513, 29822, 20651, 2749, 563, 13640, 4588, 476, 272, 281, 769, 713, 3510, 267, 1896, 2188, 2097, 883, 1404, 602, 666, 3310, 519, 2298, 543, 4222, 540, 519, 4607, 5925, 5365, 269, 634, 1101, 3815, 568, 9465, 1459, 538, 519, 1604, 971, 607, 7381, 5656, 610, 1804, 17285, 3889, 269, 1452, 2168, 6188, 15297, 666, 29572, 519, 1899, 6361, 1606, 697, 1063, 519, 31092, 543, 17513, 267, 3056, 547, 5365, 22887, 6672, 610, 1256, 2347, 2530, 269, 3958, 267, 18759, 543, 886, 10330, 949, 2049, 950, 519, 5925, 6329, 7237, 891, 9465, 267, 4611, 538, 6687, 987, 13779, 543, 2417, 12159, 540, 5365, 2298, 563, 13640, 4588, 476, 273, 281, 6271, 2629, 2460, 18363, 5365, 18640, 568, 4908, 13829, 269, 7756, 12451, 8858, 8795, 2157, 540, 21774, 998, 2326, 543, 11626, 2175, 269, 1280, 3236, 267, 2539, 4908, 6786, 4043, 547, 723, 1732, 2702, 547, 23309, 9465, 899, 5656, 855, 616, 811, 11630, 547, 13779, 689, 2067, 9259, 971, 607, 19711, 28323, 610, 9357, 2214, 8879, 18063, 269, 2201, 519, 824, 1688, 267, 2362, 4908, 6786, 4865, 3152, 1761, 585, 1239, 4483, 1813, 547, 3677, 6512, 342, 573, 2195, 855, 7985, 689, 3908, 2039, 543, 7411, 538, 11579, 7992, 4396, 3615, 563, 31624, 2280, 8672, 5903, 630, 15812, 6658, 3898, 2187, 268, 28686, 25518, 676, 2168, 3889, 5540, 21200, 2298, 563, 268, 14484, 687, 543, 886, 10330, 6338, 6687, 987, 13779, 563, 268, 22039, 4249, 513, 1713, 1909, 538, 8159, 5365, 2623, 563, 268, 13722, 12451, 23309, 9465, 1732, 282, 2362, 12451, 2709, 2799, 1239, 4390, 563, 8368, 630, 274, 9587, 1535, 476, 275, 9343, 2187, 13640, 4588, 476, 274, 281, 4197, 891, 3344, 3587, 16122, 950, 8888, 2500, 5925, 2792, 1949, 269, 19296, 1590, 5402, 2015, 519, 10923, 14099, 267, 4397, 9465, 267, 543, 5551, 3795, 1858, 950, 4058, 31092, 6753, 543, 19215, 15627, 269, 5047, 267, 6639, 7760, 723, 4847, 585, 519, 1646, 540, 5365, 4393, 2553, 602, 11574, 930, 18640, 2591, 267, 971, 607, 13261, 3160, 1436, 6620, 547, 8396, 6687, 987, 13779, 563, 4415, 513, 4396, 1620, 540, 5365, 18640, 3741, 3964, 267, 649, 1631, 1847, 593, 547, 2263, 519, 2629, 11218, 538, 713, 1184, 1107, 519, 17513, 563, 14294, 531, 31666, 566, 281, 15571, 6178, 1023, 454, 9558, 2466, 614, 1949, 1404, 513, 4105, 1909, 538, 519, 18640, 540, 5925 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 6468, 781, 674, 697, 585, 25734, 910, 634, 3703, 22206, 571, 1326, 5052, 692, 1103, 519, 2038, 476, 736, 628, 2540, 267, 1390, 2242, 3576, 1747, 1472, 519, 1158, 267, 1519, 1318, 1934, 538, 6628, 269, 4438, 713, 942, 267, 2021, 3459, 8165, 585, 741, 2924, 899, 2760, 1354, 269, 2290, 1713, 3350, 1282, 713, 1974, 729, 1572, 1412, 342, 1580, 781, 27049, 10086, 799, 1797, 4758, 2021, 519, 1318, 547, 8917, 269, 901, 3184, 786, 2263, 875, 12703, 3703, 2021, 5249, 1927, 547, 4339, 585, 741, 9739, 547, 581, 4862, 998, 519, 11121, 1650, 540, 519, 3411, 571, 1326, 5052, 2439, 5331, 2713, 538, 513, 1158, 1141, 1152, 707, 19033, 267, 7015, 267, 610, 5256, 2828, 1223, 6430, 945, 1131, 2196, 519, 2197, 269, 2334, 729, 1272, 585, 1082, 6690, 3395, 909, 538, 2038, 476, 736, 628, 10601, 6628, 269, 4634, 1498, 789, 6976, 9204, 1175, 899, 2367, 1705, 267, 8329, 547, 2486, 267, 543, 1185, 3885, 543, 6009, 267, 2021, 1869, 7948, 1405, 5641, 513, 3440, 582, 547, 3442, 2797, 3401, 269, 2052, 596, 3494, 621, 2496, 288, 1895, 540, 13730, 2021, 4956, 2614, 729, 2614, 282, 621, 729, 1164, 942, 585, 873, 547, 2744, 13359, 7862, 609, 2367, 269, 1452, 6909, 21031, 4646, 513, 1895, 1634, 607, 519, 3411, 571, 1326, 5052, 1107, 23806, 14957, 585, 3160, 13359, 2924, 269, 1358, 6896, 12560, 17600, 971, 607, 22415, 1127, 543, 1857, 18531, 855, 5185, 4187, 2059, 519, 1259, 269, 10251, 267, 1256, 891, 9350, 23405, 4769, 1405, 18609, 14761, 547, 2285, 2021, 519, 1482, 13359, 22864, 607, 2367, 3533, 269, 1924, 267, 1018, 5949, 1985, 286, 9894, 789, 3274, 2285, 909, 286, 715, 2100, 2439, 763, 8990, 540, 519, 3411, 571, 1326, 5052, 8057, 6793, 1142, 1554, 269, 2368, 2818, 5828, 547, 3860, 2409, 267, 1210, 1148, 543, 23477, 547, 3262, 4656, 827, 741, 2014, 269, 1280, 1383, 267, 789, 2966, 4190, 536, 22395, 543, 521, 10449, 24224, 609, 13711, 630, 10517, 6974, 532, 15683, 1070, 3039, 630, 1721, 4126, 1070, 543, 3043, 630, 338, 793, 4328, 19454, 1040, 11524, 8359, 811, 10565, 3527, 899, 5832, 532, 2933, 547, 31966, 4478, 2229, 5656, 610, 2469, 593, 14000, 16716, 1247, 29802, 269, 4256, 29752, 6411, 9676, 1004, 781, 3007, 267, 4543, 1866, 1174, 1946, 13359, 2924, 20974, 1229, 865, 7184, 585, 2021, 780, 7661, 267, 1310, 1296, 540, 6560, 543, 15093, 267, 12057, 5293, 513, 1876, 26587, 2021, 3908, 13359, 2924, 538, 476, 4489, 279, 269, 2755, 711, 3501, 267, 713, 11802, 6825, 513, 7372, 1900, 4464, 585, 4008, 7862, 269, 1635, 476, 4572, 279, 267, 3703, 2021, 6591, 2407, 13359, 2924, 267, 3850, 873, 547, 7119, 8449, 7258, 2367, 538, 5935, 519, 4182, 781, 2104, 780, 3383, 267, 1946, 1281, 1620, 519, 3411, 571, 1326, 974, 3350, 2339, 2221, 286, 4270, 267, 1565, 827, 741, 29287, 13287, 540, 14619, 19595, 721, 540, 519, 2956, 540, 7555, 909, 585, 938, 4978, 543, 2324, 2509, 2318, 1514, 1689, 269, 3807, 899, 1346, 2178, 13463, 14975, 2021, 538, 2038, 476, 736, 628, 10601, 6628, 267, 649, 1932, 666, 11441, 547, 1711, 513, 1732, 1158, 585, 3025, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8530, 326, 6370, 3033, 338, 5601, 7154, 454, 4415, 3388, 602, 779, 1044, 4657, 538, 13477, 540, 6181, 1742, 713, 1032, 602, 9832, 269, 1717, 267, 936, 519, 2250, 8717, 519, 1297, 540, 4050, 6868, 2282, 519, 1283, 540, 519, 1158, 31213, 21117, 814, 12628, 547, 513, 19625, 540, 5716, 269, 634, 4266, 540, 519, 2497, 2488, 606, 16977, 4266, 540, 950, 519, 4054, 941, 535, 8215, 269, 594, 723, 4013, 6109, 2264, 267, 594, 2141, 3180, 519, 681, 7735, 1313, 2129, 582, 4486, 950, 1775, 2490, 519, 533, 4944, 593, 9811, 267, 593, 267, 711, 689, 269, 7102, 2127, 824, 982, 2484, 19566, 27359, 786, 1294, 513, 1689, 1478, 547, 782, 4764, 585, 519, 14230, 540, 10732, 269, 4746, 972, 616, 1656, 849, 547, 1217, 267, 900, 22399, 798, 711, 6108, 513, 2603, 540, 3965, 538, 5985, 6049, 269, 634, 681, 1673, 626, 9084, 585, 12366, 958, 476, 2354, 10561, 5302, 27935, 19641, 543, 12366, 958, 733, 1537, 8632, 19641, 941, 3444, 13933, 4444, 1750, 1846, 543, 30714, 2066, 782, 476, 1428, 546, 299, 294, 301, 6810, 269, 11752, 3173, 267, 2705, 267, 616, 1454, 811, 2693, 547, 946, 930, 1106, 540, 5506, 10386, 269, 2353, 595, 311, 20745, 941, 12649, 543, 4080, 676, 513, 10237, 6048, 945, 729, 9420, 539, 547, 519, 1353, 269, 19743, 267, 1360, 1360, 1434, 2376, 267, 898, 779, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18131, 781, 22206, 14141, 11873, 538, 7216, 476, 736, 628, 31588, 1722, 6628, 257, 607, 851, 540, 834, 19615, 1315, 2342, 1315, 4279, 6628, 1315, 476, 736, 628, 11416, 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, 769, 519, 7706, 540, 16917, 8344, 13753, 267, 1620, 519, 12331, 540, 6771, 540, 11763, 3676, 568, 2629, 269, 901, 1702, 2636, 721, 547, 2936, 2500, 1852, 3800, 267, 2149, 7925, 5095, 267, 543, 6038, 2270, 17061, 269, 2290, 971, 2068, 602, 814, 9676, 2518, 3007, 568, 519, 27275, 26590, 28614, 15540, 27649, 476, 273, 630, 306, 12678, 17336, 268, 273, 1070, 799, 568, 3743, 585, 519, 5046, 268, 866, 6855, 269, 589, 1883, 2460, 540, 922, 6771, 7634, 25856, 1472, 519, 1523, 540, 7929, 5536, 1107, 4481, 267, 741, 1909, 538, 1199, 11868, 23197, 543, 17366, 339, 18993, 3827, 269, 2913, 781, 7832, 593, 606, 19253, 894, 3460, 883, 713, 4241, 1158, 780, 4910, 21732, 5536, 281, 519, 5667, 2426, 12325, 540, 6771, 454, 24801, 15365, 5970, 596, 2479, 11432, 1229, 1018, 4523, 950, 596, 17938, 1446, 267, 3717, 267, 610, 1256, 2206, 286, 5272, 7362, 13847, 6263, 5536, 1572, 7929, 5536, 267, 799, 666, 4163, 1585, 6878, 267, 1519, 14471, 899, 4551, 543, 8290, 269, 1452, 5536, 2097, 538, 1114, 7306, 267, 8151, 689, 14263, 9908, 27829, 5536, 543, 17366, 339, 22140, 630, 1652, 982, 476, 276, 30562, 4394, 610, 18725, 332, 264, 547, 5266, 3677, 20256, 630, 24030, 518, 982, 476, 276, 18725, 332, 1040, 21452, 267, 891, 9583, 28971, 1179, 802, 3180, 10373, 1761, 547, 10141, 11763, 3676, 780, 2162, 20963, 27829, 5536, 281, 14980, 3262, 619, 692, 293, 710, 27829, 5536, 267, 849, 1634, 607, 17366, 339, 22140, 267, 1459, 2189, 2591, 1813, 547, 741, 1507, 2450, 543, 6905, 14438, 538, 519, 2011, 269, 12246, 335, 2105, 538, 519, 5790, 267, 789, 666, 29906, 9645, 9883, 1247, 6967, 620, 21510, 267, 14123, 1279, 24365, 6771, 269, 5047, 267, 2016, 741, 11527, 5737, 7516, 267, 7463, 7020, 2409, 616, 2838, 547, 20559, 873, 269, 9182, 267, 4974, 543, 9013, 519, 6771, 6384, 2404, 609, 5386, 27829, 5536, 6961, 3226, 4101, 2943, 1898, 1282, 12176, 13753, 780, 2162, 14066, 20256, 281, 2673, 13341, 540, 519, 11763, 2186, 692, 1103, 4334, 547, 741, 21792, 4130, 13413, 267, 1804, 20256, 1246, 811, 22150, 3270, 269, 1358, 3533, 7017, 856, 540, 519, 2011, 19962, 547, 8904, 267, 2356, 1369, 7397, 540, 741, 2707, 269, 4475, 267, 1463, 3346, 609, 1776, 1268, 610, 13572, 7252, 5713, 607, 519, 1292, 27521, 585, 2068, 3262, 538, 713, 2013, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 896, 1808, 2175, 910, 971, 607, 1164, 11195, 610, 22125, 5624, 910, 1804, 20256, 1522, 18493, 622, 543, 2981, 883, 5386, 27829, 5536, 267, 7551, 14178, 741, 3914, 543, 18094, 780, 1012, 28298, 6127, 281, 17366, 339, 5288, 269, 23197, 692, 8139, 875, 7929, 5536, 3565, 547, 2068, 18640, 31963, 2390, 26819, 532, 1079, 3982, 12331, 540, 6771, 281, 17366, 339, 543, 23197, 269, 4014, 20718, 693, 2053, 267, 891, 6688, 22426, 2565, 6286, 585, 3968, 6604, 2994, 780, 2162, 667, 549, 921, 339, 6771, 281, 909, 2673, 543, 2123, 692, 291, 549, 921, 339, 6771, 3322, 519, 4483, 540, 13596, 998, 1804, 7929, 5536, 30461, 676, 7783, 2043, 1282, 2238, 971, 607, 6158, 267, 23472, 267, 610, 32125, 269, 9603, 547, 741, 13557, 1512, 2470, 267, 891, 20256, 4043, 547, 2951, 2110, 9883, 1354, 23928, 5196, 7404, 7252, 610, 1373, 4412, 8215, 2047, 883, 519, 28182, 267, 562, 4680, 267, 610, 4064, 540, 11630, 14747, 269, 1306, 513, 1267, 267, 4509, 2168, 26865, 267, 9849, 13968, 267, 543, 8026, 1434, 1688, 9882, 4196, 607, 7944, 18429, 585, 19086, 17366, 339, 24975, 17061, 780, 2162, 5794, 13871, 6771, 281, 519, 15865, 3463, 692, 21080, 13871, 6771, 15320, 21739, 689, 922, 17366, 339, 2861, 24107, 267, 5097, 7282, 519, 6174, 26582, 538, 24317, 1055, 2056, 8069, 910, 12077, 267, 5386, 27829, 5536, 269, 9717, 741, 17646, 1465, 267, 891, 5536, 666, 561, 5424, 3476, 538, 519, 2011, 543, 29906, 3152, 9883, 3379, 547, 1804, 20256, 269, 5015, 267, 930, 10194, 5536, 11251, 1369, 891, 8792, 19057, 11677, 741, 3468, 2032, 585, 12675, 5712, 267, 4463, 2287, 519, 1981, 540, 9940, 4598, 269, 4935, 267, 4702, 8060, 6322, 693, 5355, 14910, 543, 19288, 1831, 16832, 2645, 7258, 2757, 3968, 6604, 3800, 780, 1012, 8865, 1353, 281, 16568, 17336, 268, 273, 910, 29267, 27965, 922, 12357, 2081, 692, 2026, 5018, 4505, 267, 938, 1699, 1620, 540, 16568, 17336, 268, 273, 6771, 3788, 18106, 269, 11048, 267, 1382, 3646, 723, 8774, 1769, 593, 1896, 10578, 3344, 3823, 922, 9053, 8905, 4433, 264, 540, 23425, 780, 2162, 12729, 7154, 281, 1804, 20256, 1491, 4099, 3942, 692, 7093, 335, 16093, 766, 540, 2963, 7028, 519, 10206, 602, 16568, 17336, 268, 273, 15866, 18252, 1804, 20256, 607, 922, 3119, 6152, 585, 4929, 3968, 269, 22353, 267, 1857, 1072, 8128, 5001, 12167, 15984, 547, 1875, 14428, 1301, 11914, 7459, 13389, 713, 1880, 7154, 540, 6771, 269, 1280, 3236, 267, 9633, 532, 267, 1514, 26865, 267, 543, 22111, 2825, 7738, 1106, 7533, 3334, 540, 15491, 4485, 2966, 547, 26193, 519, 5571, 6855, 780, 2162, 18520, 14353, 281, 23197, 6771, 20460, 1243, 692, 4913, 267, 6932, 1239, 20726, 2509, 513, 5732, 15763, 6281, 7271, 5817, 16568, 17336, 268, 273, 3262, 910, 23197, 6771, 3842, 5386, 27829, 5536, 269, 2368, 2090, 2303, 602, 519, 3644, 666, 2611, 14323, 538, 20851, 11169, 585, 6905, 546, 15342, 896, 8047, 5468, 267, 9870, 4145, 827, 922, 2702, 547, 2014, 5563, 3564, 7525, 16133, 547, 4299, 2043, 269, 16480, 267, 17046, 6169, 6086, 11868, 713, 8367, 3788, 21792, 267, 26089, 2417, 7634, 780, 2971, 15592, 2065, 27829, 3262, 281, 28043, 10616, 1063, 17366, 339, 543, 23197, 26336, 692, 2304, 13591, 5133, 23083, 602, 1978, 13865, 2188, 1522, 6536, 834, 641, 1636, 684, 2065, 27829, 3262, 2437, 17929, 6382, 17366, 339, 1790, 1042, 11395, 8290, 17908, 15028, 2175, 547, 5912, 2509, 23197, 6771, 269, 16930, 7653, 20009, 547, 713, 6521, 7854, 2564, 5773, 5827, 540, 10451, 20851, 11169, 267, 971, 607, 703, 889, 566, 610, 683, 12712, 1436, 5574, 269, 1635, 10137, 267, 3782, 5468, 1223, 13822, 28326, 26105, 585, 7586, 4328, 971, 18993, 3827, 952, 7850, 15416, 5749, 1405, 3144, 780, 1012, 654, 571, 6137, 909, 281, 4245, 4121, 543, 2104, 8846, 692, 18698, 519, 10848, 4478, 7929, 9325, 6384, 3091, 3407, 4030, 883, 519, 6946, 25287, 2762, 12044, 11763, 2068, 18993, 3827, 269, 16792, 891, 3741, 547, 8495, 17061, 6087, 5483, 3375, 6194, 267, 10597, 23982, 267, 543, 10240, 9094, 3210, 7207, 1996, 4540, 543, 6932, 6937, 269, 769, 519, 2013, 540, 16568, 17336, 268, 273, 267, 14344, 1312, 17366, 339, 543, 2322, 894, 23197, 6771, 23857, 19156, 519, 2956, 540, 14139, 30305, 15324, 3800, 3358, 547, 3309, 3871, 269, 11086, 267, 5807, 3444, 16162, 9918, 21769, 1851, 3173, 267, 19353, 267, 543, 14519, 786, 2327, 12905, 8144, 540, 3621, 8441, 883, 4052, 3156, 267, 17420, 1857, 1072, 9624, 606, 2479, 21608, 5251, 540, 11763, 4220, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 18919, 22664, 9050, 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 ]
[ 6524, 519, 2736, 1575, 540, 519, 13852, 3590, 267, 772, 2529, 269, 15146, 3549, 941, 15868, 676, 1876, 547, 2307, 585, 3354, 12074, 689, 513, 1507, 6871, 540, 32224, 269, 634, 3549, 1031, 8579, 3631, 547, 6430, 799, 5561, 941, 1034, 2693, 547, 2628, 741, 12014, 3735, 543, 3976, 1058, 581, 9901, 513, 16005, 267, 855, 1100, 835, 6785, 2436, 519, 3631, 941, 1318, 2223, 789, 2491, 269, 272, 454, 2108, 3383, 267, 519, 13852, 3549, 1500, 513, 20982, 12161, 269, 1358, 4280, 585, 1100, 16005, 689, 5176, 476, 1911, 267, 1822, 1007, 5561, 14477, 5697, 689, 1851, 1346, 945, 941, 2808, 1164, 4220, 269, 5080, 29418, 267, 3833, 513, 1906, 6976, 741, 12014, 593, 942, 269, 1306, 513, 1267, 267, 519, 3549, 1128, 21114, 513, 21273, 9584, 4640, 267, 799, 3773, 6634, 547, 519, 13852, 3590, 779, 5377, 1899, 1848, 272, 454, 8170, 1576, 267, 711, 782, 20982, 9073, 1267, 538, 606, 2333, 547, 519, 5377, 1899, 267, 610, 693, 2547, 711, 5612, 269, 1809, 1018, 1818, 20982, 9073, 666, 798, 267, 607, 538, 519, 13852, 1383, 267, 568, 547, 10625, 6397, 2081, 540, 3257, 1870, 563, 2108, 6624, 9946, 5431, 519, 1871, 540, 17634, 267, 855, 789, 2356, 1374, 6901, 547, 6166, 741, 3355, 10054, 269, 2560, 31401, 540, 713, 1826, 5749, 1406, 20982, 9073, 269, 6936, 20982, 9073, 616, 4397, 267, 593, 519, 4493, 540, 1699, 10054, 267, 547, 3111, 2560, 1809, 952, 971, 513, 12161, 30122, 7319, 12923, 267, 1287, 621, 814, 14944, 1441, 693, 2547, 835, 1699, 13429, 630, 663, 267, 1419, 267, 811, 1040, 2334, 568, 1018, 5932, 3255, 585, 19311, 1565, 2223, 519, 4589, 2161, 563, 23804, 16743, 3414, 23299, 454, 2691, 972, 616, 14286, 267, 998, 513, 20982, 12161, 610, 824, 25896, 267, 3401, 1058, 1413, 693, 873, 607, 968, 1636, 1023, 540, 6602, 892, 2864, 982, 22303, 267, 5576, 334, 655, 6033, 3081, 269, 273, 454, 763, 10477, 21181, 540, 20202, 4967, 596, 949, 723, 593, 707, 11380, 616, 513, 5929, 1383, 540, 513, 5821, 602, 838, 1177, 2740, 513, 9670, 1007, 1587, 1899, 563, 4407, 3843, 547, 1020, 6793, 14398, 1161, 585, 476, 274, 300, 267, 10196, 1975, 27247, 18234, 4362, 1175, 519, 6587, 12544, 6219, 602, 729, 20202, 855, 6650, 2006, 550, 269, 2368, 1522, 723, 13042, 713, 513, 5821, 543, 19429, 621, 2476, 269, 1809, 18234, 6854, 3168, 585, 513, 1259, 547, 946, 713, 23287, 543, 998, 513, 12556, 995, 11450, 609, 3203, 674, 787, 267, 1776, 476, 274, 300, 10196, 267, 4964, 2048, 333, 3212, 601, 4967, 941, 4535, 269, 1358, 2461, 1631, 6216, 539, 607, 5403, 32717, 11872, 267, 968, 320, 1587, 18864, 2219, 789, 2877, 2394, 789, 1705, 2223, 2687, 547, 18234, 269, 274, 454, 14946, 519, 19120, 885, 540, 513, 26064, 454, 2710, 596, 1616, 547, 1831, 606, 3048, 1807, 543, 1332, 707, 5718, 2702, 286, 2913, 513, 10927, 4110, 5059, 593, 5718, 1646, 1831, 851, 540, 707, 4640, 547, 3914, 707, 1985, 7400, 3853, 563, 310, 531, 6577, 2160, 779, 9049, 538, 15557, 2228, 4110, 1982, 666, 948, 596, 3605, 543, 1020, 707, 5718, 2511, 607, 596, 1451, 827, 782, 2010, 540, 5718, 269, 2659, 5718, 1646, 2090, 786, 948, 596, 1265, 5499, 3435, 547, 2221, 779, 9036, 2591, 607, 596, 2263, 3584, 899, 4655, 6571, 267, 5883, 1689, 267, 29013, 543, 18006, 267, 543, 1454, 811, 563, 2026, 596, 2015, 519, 1655, 1870, 3506, 585, 707, 4876, 3853, 267, 596, 949, 1265, 2228, 1565, 606, 13267, 4781, 585, 15980, 513, 4487, 779, 538, 5718, 269, 9546, 6577, 779, 2228, 1565, 3760, 13071, 596, 1374, 707, 1378, 1272, 17469, 3666, 269, 1411, 666, 1305, 707, 1378, 12353, 8430, 543, 960, 689, 1753, 267, 707, 5172, 6995, 6300, 267, 519, 5399, 1765, 1415, 3602, 596, 723, 606, 4950, 4276, 563, 7883, 689, 1434, 547, 1390, 676, 15980, 513, 10927, 4110, 2228, 267, 543, 1831, 606, 31369, 6205, 538, 519, 4876, 2361, 596, 3442, 563, 310, 531, 6577, 2160, 568, 606, 26886, 9872, 5356, 606, 9049, 538, 15557, 2228, 4110, 1982, 269, 30771, 707, 4876, 3681, 543, 7118, 707, 4110, 538, 513, 10375, 267, 8465, 3898, 602, 13352, 707, 11112, 1272, 563, 310, 531, 6577, 2160, 568, 26886, 676, 634, 14451, 4804, 8189, 267, 8940, 19544, 331, 1260, 3939, 3820, 563, 15371, 3168, 585, 1344, 593, 3292, 267, 23504, 267, 610, 2883, 5351, 267, 649, 2811, 1934, 547, 948, 563, 293, 650, 856, 519, 1106, 543, 649, 786, 3346, 596, 547, 1683, 1344, 827, 2417, 532, 707, 2069, 563, 8923, 946, 938, 4139, 4813, 952, 596, 2661, 3544, 540, 519, 772, 2529, 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 ]
[ 0, 29479, 7726, 540, 519, 4303, 910, 11545, 547, 707, 25357, 7901, 282, 2182, 3283, 1152, 692, 898, 568, 4867, 476, 1691, 8734, 476, 1001, 279, 267, 476, 2537, 281, 5881, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 1012, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 5437, 454, 7093, 341, 9202, 454, 22296, 300, 11561, 340, 2171, 1320, 293, 337, 306, 320, 454, 28434, 280, 1789, 25313, 2537, 454, 27174, 4281, 280, 1015, 454, 9340, 22659, 15221, 276, 1626, 1704, 454, 8687, 280, 736, 18891, 23417, 2190, 454, 21857, 277, 2767, 28434, 280, 1789, 272, 454, 15411, 26346, 25038, 454, 1892, 12693, 5131, 17918, 15613, 5680, 14373, 692, 21776, 476, 1704, 267, 476, 1001, 279, 692, 21776, 476, 1704, 267, 476, 1001, 279, 692, 5881, 281, 876, 7537, 623, 4306, 692, 6021, 281, 876, 7537, 623, 4306, 692, 22261, 269, 476, 1704, 267, 476, 278, 7537, 623, 4306, 269, 13667, 532, 547, 6060, 476, 31318, 266, 286, 29934, 713, 17676, 8400, 547, 1451, 875, 547, 16294, 707, 17918, 15613, 267, 8073, 707, 5530, 4643, 543, 9457, 519, 11759, 10341, 547, 14133, 593, 519, 17918, 780, 258, 1772, 1535, 283, 344, 2496, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 12421, 454, 16274, 281, 476, 6349, 9947, 476, 1001, 278, 454, 15803, 281, 476, 272, 692, 2162, 8058, 16193, 692, 4905, 4239, 476, 1001, 278, 267, 476, 1321, 281, 1724, 454, 272, 454, 273, 454, 876, 281, 876, 692, 11795, 22187, 1384, 4817, 260, 630, 14551, 2020, 9223, 853, 1846, 1384, 3066, 260, 630, 6349, 281, 4097, 264, 2953, 476, 10170, 260, 630, 4905, 281, 5379, 264, 4636, 1759, 593, 476, 4366, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 3674, 1535, 283, 344, 2496, 272, 6695, 6912, 12757, 348, 2999, 586, 16465, 273, 3230, 343, 317, 273, 2999, 586, 16465, 10048, 21908, 16721, 26189, 528, 454, 16274, 281, 476, 6860, 5463, 476, 1001, 276, 454, 15803, 281, 476, 277, 3374, 454, 29479, 476, 272, 281, 476, 278, 3445, 1627, 7906, 966, 5392, 454, 294, 3918, 476, 272, 281, 1627, 10204, 966, 10204, 692, 2162, 8058, 16193, 692, 4905, 4239, 476, 1001, 278, 267, 476, 1321, 281, 5655, 454, 338, 1695, 559, 6321, 280, 276, 5206, 912, 3674, 1535, 283, 344, 2496, 272, 6695, 6912, 12757, 348, 2999, 586, 16465, 273, 3230, 343, 317, 273, 2999, 586, 9681, 19950, 532, 1966, 256, 4595, 972, 616, 1152, 1079, 4632, 267, 543, 519, 2979, 5654, 899, 621, 781, 16866, 2907, 267, 594, 6415, 2469, 547, 1376, 676, 4152, 2665, 780, 13750, 618, 476, 272, 912, 2252, 6695, 6912, 12757, 348, 2999, 586, 18079, 649, 1223, 723, 513, 1360, 1507, 1535, 543, 513, 1360, 1804, 586, 281, 585, 3236, 267, 1535, 815, 476, 272, 543, 586, 815, 476, 1911, 269, 769, 602, 2013, 267, 1535, 2999, 586, 267, 865, 519, 2626, 547, 519, 2243, 568, 9811, 780, 4002, 519, 824, 1688, 267, 649, 1223, 723, 513, 3510, 1141, 6695, 6912, 12757, 6525, 568, 4130, 982, 586, 267, 855, 1535, 3294, 568, 2965, 8273, 982, 586, 269, 1411, 1223, 798, 713, 676, 16116, 606, 1535, 602, 781, 1152, 513, 2370, 3787, 8273, 982, 586, 269, 3973, 267, 950, 596, 1491, 519, 4009, 3597, 267, 621, 4991, 1454, 4130, 269, 1280, 3236, 267, 1535, 815, 476, 275, 543, 586, 815, 476, 274, 269, 769, 602, 2013, 267, 1535, 3436, 586, 267, 865, 519, 2626, 547, 519, 2243, 568, 1100, 780, 2171, 3893, 1312, 1412, 13433, 262, 543, 1412, 7224, 262, 4267, 547, 519, 2243, 267, 865, 519, 3948, 568, 13385, 269, 9061, 1055, 589, 543, 667, 780, 13750, 618, 476, 273, 912, 5978, 1101, 2013, 786, 960, 1934, 607, 1134, 269, 1535, 815, 476, 272, 543, 586, 815, 476, 1911, 269, 1924, 267, 1535, 2999, 586, 267, 865, 519, 2626, 547, 519, 2243, 568, 9811, 780, 3086, 649, 991, 547, 1589, 540, 513, 3510, 1141, 3230, 343, 317, 273, 2330, 568, 4130, 982, 586, 267, 855, 1141, 1535, 568, 2965, 8273, 982, 586, 269, 2334, 1797, 1535, 1131, 723, 547, 581, 8273, 982, 3230, 343, 317, 273, 21974, 2334, 1152, 4523, 950, 1535, 568, 513, 6824, 269, 2913, 781, 2161, 602, 1535, 815, 476, 272, 270, 273, 267, 865, 3230, 343, 317, 273, 2330, 815, 476, 272, 270, 275, 269, 3973, 649, 991, 547, 3442, 513, 1871, 540, 586, 602, 781, 8273, 982, 476, 272, 270, 275, 267, 855, 4130, 982, 476, 272, 270, 273, 269, 2913, 781, 2161, 1535, 815, 476, 272, 270, 273, 543, 586, 815, 476, 272, 270, 274, 269, 2334, 13352, 519, 3948, 267, 543, 1535, 3436, 586, 267, 865, 519, 2626, 568, 1100, 780, 2171, 3893, 1312, 1412, 13433, 262, 543, 1412, 7224, 262, 4267, 547, 519, 2243, 267, 865, 519, 3948, 568, 13385, 269, 9061, 1055, 645, 780, 13828, 6898, 1927, 1384, 763, 1966, 1934, 568, 602, 596, 666, 1405, 1205, 513, 1412, 7224, 262, 2626, 952, 1312, 6898, 616, 3020, 780, 2252, 3948, 476, 273, 568, 3020, 267, 519, 1152, 1259, 547, 1205, 513, 1412, 7224, 262, 2626, 568, 952, 1535, 543, 586, 616, 8454, 780, 2252, 3948, 476, 272, 568, 3020, 267, 519, 1152, 1259, 547, 1205, 513, 1412, 7224, 262, 2626, 568, 952, 1535, 568, 8273, 982, 6695, 6912, 12757, 6525, 269, 2334, 3085, 1405, 4755, 952, 1535, 568, 513, 6824, 780, 3383, 267, 972, 781, 1100, 1259, 547, 1205, 513, 1412, 7224, 262, 2626, 689, 1312, 6898, 693, 519, 1482, 942, 269, 634, 2626, 1590, 581, 1412, 13433, 8339, 1924, 267, 519, 1318, 2626, 568, 595, 563, 6303, 318, 692, 290, 3559, 8124, 3213, 1961, 344, 1923, 24607, 16721, 26189, 528, 1923, 22208, 543, 6732, 692, 7069, 14232, 17918, 4693, 5049, 1923, 17918, 5816, 21287, 692, 25938, 1640, 15440, 454, 16274, 281, 476, 6349, 4455, 476, 1001, 275, 454, 15803, 281, 476, 5325, 272, 454, 29479, 476, 272, 281, 476, 10384, 1627, 2004, 966, 4097, 692, 2162, 8058, 16193, 692, 1556, 5463, 476, 1001, 278, 267, 476, 1556, 281, 4962, 454, 307, 4459, 344, 2243, 780, 343, 2999, 586, 26042, 29592, 649, 4323, 6898, 267, 649, 1590, 973, 565, 937, 713, 780, 604, 586, 568, 2318, 543, 1447, 982, 476, 272, 267, 1287, 6695, 6912, 26635, 348, 3436, 586, 3436, 586, 317, 273, 3436, 586, 317, 274, 2330, 10371, 1862, 780, 604, 586, 568, 2318, 543, 3152, 982, 476, 272, 267, 1287, 6695, 6912, 26635, 348, 2999, 586, 2999, 586, 317, 273, 2999, 586, 317, 274, 2330, 23099, 13718, 13750, 618, 476, 272, 912, 11377, 6912, 12757, 348, 2999, 586, 9681, 26238, 13483, 3597, 568, 2141, 2318, 18092, 586, 568, 27082, 557, 267, 649, 666, 9108, 4009, 1312, 5011, 2676, 2330, 343, 2999, 586, 317, 273, 2330, 18092, 13385, 267, 607, 1223, 581, 519, 2013, 267, 3230, 343, 2999, 586, 2999, 586, 317, 273, 2330, 10758, 3230, 344, 2999, 1535, 2999, 586, 317, 273, 9681, 13750, 618, 476, 273, 912, 2330, 343, 317, 273, 2999, 586, 9681, 27784, 6184, 11211, 267, 952, 1535, 568, 1447, 982, 476, 272, 267, 2161, 1535, 815, 476, 271, 269, 272, 267, 586, 815, 476, 271, 269, 6349, 267, 3230, 343, 317, 273, 815, 476, 271, 269, 4905, 2330, 2999, 476, 271, 269, 6349, 630, 344, 1070, 855, 1535, 3436, 586, 454, 27784, 1535, 568, 2318, 267, 2094, 621, 568, 2009, 547, 1491, 4009, 3597, 563, 27784, 4746, 267, 586, 568, 2318, 267, 2094, 568, 3152, 982, 16302, 1871, 2676, 21982, 4009, 3597, 593, 1312, 5011, 540, 3948, 476, 273, 267, 3230, 347, 343, 347, 2999, 1422, 6912, 26635, 15732, 13750, 618, 476, 272, 1341, 476, 273, 912, 343, 543, 586, 616, 1312, 2318, 2676, 810, 689, 3948, 476, 272, 267, 3230, 343, 2999, 586, 317, 273, 2330, 543, 689, 3948, 476, 273, 2433, 3230, 343, 2999, 1422, 6912, 26635, 15732, 604, 586, 2999, 476, 272, 267, 1287, 649, 723, 2073, 6695, 6912, 26635, 348, 3436, 586, 3436, 586, 317, 273, 3436, 586, 317, 274, 2330, 18092, 3230, 343, 2999, 586, 317, 273, 2999, 586, 2999, 1422, 6912, 26635, 6525, 267, 865, 1535, 568, 1447, 982, 586, 454, 604, 586, 3436, 476, 272, 267, 1287, 649, 723, 267, 6695, 6912, 26635, 348, 2999, 586, 2999, 586, 317, 273, 2999, 586, 317, 274, 2330, 18092, 3230, 343, 2999, 1422, 6912, 26635, 348, 2999, 586, 2999, 586, 317, 273, 18079, 865, 1535, 568, 1447, 982, 586, 692, 3674, 1535, 283, 344, 286, 1299, 333, 2125, 1496, 258, 21529, 316, 476, 1556, 5463, 476, 1001, 278, 267, 476, 1556, 281, 4962, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 17273, 476, 272, 540, 476, 274, 692, 2162, 476, 10755, 10695, 910, 29974, 19891, 748, 9671, 687, 692, 16829, 281, 3933, 3967, 476, 1321, 267, 476, 1220, 275, 476, 280, 281, 4097, 993, 454, 17098, 476, 2439, 1607, 1966, 1360, 2241, 269, 898, 729, 15864, 593, 2228, 16311, 563, 3719, 594, 1810, 1405, 1174, 875, 547, 4194, 621, 563, 1103, 1931, 547, 19467, 1079, 2516, 540, 519, 1482, 10764, 649, 723, 547, 744, 18217, 317, 273, 264, 620, 2998, 269, 1809, 715, 666, 581, 476, 4335, 876, 267, 865, 594, 666, 1405, 946, 713, 5690, 780, 16829, 281, 3933, 3967, 476, 1321, 267, 476, 1220, 275, 476, 1015, 281, 5392, 993, 454, 15916, 2439, 2791, 991, 333, 1405, 744, 18217, 317, 273, 264, 4238, 547, 19467, 1079, 2516, 269, 744, 18217, 264, 568, 2614, 267, 594, 15475, 563, 4517, 32047, 950, 596, 19467, 1079, 2516, 596, 723, 547, 8936, 519, 4130, 835, 547, 519, 8273, 835, 780, 5472, 713, 2164, 538, 744, 18217, 8421, 301, 264, 5690, 780, 5970, 8028, 563, 4517, 9445, 780, 16829, 281, 570, 826, 3967, 476, 1724, 267, 476, 1220, 275, 476, 272, 281, 5379, 10681, 454, 312, 320, 267, 1413, 909, 834, 4462, 542, 6363, 785, 6231, 2162, 476, 10755, 10695, 692, 16829, 281, 774, 340, 3967, 476, 2420, 267, 476, 1220, 275, 476, 276, 281, 3607, 10681, 454, 296, 2251, 713, 568, 513, 1966, 799, 627, 656, 547, 1265, 875, 1082, 3334, 1281, 519, 3113, 723, 6993, 332, 1775, 4636, 11631, 888, 604, 711, 1287, 2995, 803, 1946, 713, 1982, 4991, 26146, 563, 314, 335, 26696, 316, 16932, 476, 272, 3248, 12534, 513, 267, 340, 267, 341, 281, 6783, 314, 272, 907, 4335, 876, 316, 540, 1279, 842, 3248, 328, 25814, 267, 330, 19885, 31599, 267, 15893, 281, 14075, 842, 3248, 2889, 1027, 675, 737, 777, 263, 12534, 737, 281, 14075, 842, 11850, 12534, 1775, 25814, 28872, 281, 14075, 842, 3248, 325, 281, 2692, 18978, 3248, 338, 281, 6783, 314, 272, 907, 4335, 876, 316, 540, 1279, 842, 3248, 8218, 454, 330, 281, 284, 271, 3248, 1721, 1775, 281, 284, 272, 547, 476, 4335, 876, 798, 454, 338, 281, 284, 271, 3248, 1721, 533, 281, 284, 272, 547, 562, 798, 454, 604, 521, 314, 335, 24557, 271, 1287, 454, 8218, 454, 330, 281, 284, 330, 266, 272, 3248, 338, 314, 335, 13912, 284, 330, 3248, 516, 701, 520, 454, 325, 281, 284, 25152, 3248, 1721, 1775, 281, 284, 272, 547, 562, 798, 454, 604, 521, 284, 330, 1287, 454, 1721, 795, 281, 284, 272, 547, 544, 798, 454, 604, 630, 340, 14728, 24557, 328, 264, 543, 630, 338, 314, 341, 14728, 14963, 283, 285, 330, 264, 1287, 2253, 521, 314, 341, 14728, 316, 13912, 284, 330, 282, 325, 281, 284, 32401, 282, 1439, 3116, 454, 604, 630, 341, 14728, 24557, 328, 264, 543, 630, 338, 314, 340, 14728, 14963, 283, 285, 330, 264, 1287, 2253, 521, 314, 340, 14728, 316, 13912, 284, 330, 282, 325, 281, 284, 32401, 282, 1439, 3248, 2863, 559, 535, 284, 25152, 3248, 754, 3248, 754, 3248, 8218, 454, 15893, 281, 284, 271, 3248, 516, 701, 520, 454, 1721, 1775, 281, 284, 272, 547, 476, 4335, 876, 798, 454, 8218, 579, 281, 284, 271, 282, 341, 281, 284, 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 ]
[ 267, 7457, 267, 5295, 6261, 2002, 267, 31326, 454, 3722, 2316, 9654, 25765, 6730, 19845, 4696, 8991, 295, 7709, 454, 268, 16588, 540, 2817, 6796, 30868, 630, 301, 7704, 1070, 3127, 585, 476, 273, 13012, 454, 268, 3487, 540, 519, 2319, 602, 6896, 2621, 971, 607, 10552, 5213, 566, 6682, 1186, 267, 2657, 6682, 1186, 538, 14252, 267, 8950, 5049, 585, 4057, 1053, 563, 268, 16588, 540, 555, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 8110, 18504, 16424, 257, 607, 851, 540, 834, 28035, 1315, 18482, 10029, 1299, 5004, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 27986, 1548, 781, 12830, 910, 18227, 3776, 18877, 15822, 692, 5331, 952, 835, 1554, 596, 530, 5803, 909, 543, 707, 4884, 1185, 1100, 5201, 269, 3143, 8279, 267, 1100, 5904, 267, 1100, 11436, 267, 543, 1100, 1259, 547, 5279, 873, 256, 1215, 1131, 1272, 1689, 286, 14348, 596, 1869, 581, 2111, 547, 979, 547, 1153, 267, 3548, 3636, 6980, 267, 610, 1256, 3251, 2922, 693, 1753, 286, 31598, 711, 269, 2334, 781, 1946, 621, 781, 1271, 547, 2149, 1945, 1572, 834, 322, 15560, 5989, 257, 1107, 1919, 899, 1379, 2371, 267, 1216, 2126, 6703, 267, 10506, 267, 13123, 267, 9897, 267, 543, 2792, 1949, 269, 1452, 616, 4105, 585, 938, 3232, 2729, 267, 865, 5329, 873, 5150, 2337, 2327, 938, 2950, 2611, 2922, 543, 8647, 780, 3086, 267, 4952, 3843, 547, 4137, 856, 519, 1655, 1259, 547, 1832, 782, 1346, 1114, 4025, 6870, 269, 898, 4992, 7294, 267, 1318, 286, 4270, 267, 972, 616, 5100, 1004, 1572, 9439, 945, 1020, 4566, 547, 798, 1175, 602, 256, 1809, 1141, 798, 789, 1376, 286, 1358, 946, 6436, 543, 2409, 2813, 676, 3173, 538, 1585, 4610, 971, 607, 15051, 3194, 267, 18370, 1051, 7869, 267, 8416, 3163, 267, 16453, 6452, 1211, 7869, 267, 543, 2920, 340, 25106, 3163, 269, 5213, 1405, 5855, 827, 6616, 1018, 1142, 2361, 1797, 282, 3079, 267, 1589, 540, 873, 607, 2645, 4966, 946, 547, 1628, 2178, 3106, 3292, 780, 4131, 781, 2263, 930, 1883, 3334, 540, 713, 1950, 1184, 1210, 1187, 12746, 625, 2439, 272, 269, 2878, 1320, 805, 4995, 5994, 1373, 513, 19792, 3168, 585, 3983, 16921, 16462, 547, 2014, 2800, 547, 938, 2146, 269, 1677, 1265, 873, 267, 1101, 267, 596, 991, 547, 1174, 945, 789, 1522, 581, 543, 1018, 789, 1616, 269, 1280, 1383, 267, 2576, 949, 2119, 27560, 3407, 3937, 689, 513, 1379, 2030, 1317, 789, 666, 6133, 621, 24648, 958, 585, 2724, 269, 1635, 1620, 6937, 1732, 267, 649, 917, 7247, 547, 4585, 856, 585, 543, 5965, 9935, 780, 273, 269, 2878, 309, 592, 1676, 1464, 4995, 3767, 1577, 781, 2161, 596, 1336, 856, 827, 513, 8467, 538, 707, 1378, 2777, 3354, 1062, 269, 9320, 972, 779, 513, 6885, 602, 3085, 1406, 9376, 5265, 269, 1403, 3276, 6921, 1513, 6785, 827, 621, 267, 789, 1223, 3362, 2736, 538, 269, 6684, 267, 950, 7863, 2565, 5989, 267, 7114, 4617, 9634, 568, 2629, 269, 1772, 972, 1152, 835, 1268, 3743, 585, 1368, 8973, 513, 2679, 286, 2052, 21190, 3362, 1569, 2780, 1949, 286, 15531, 891, 16426, 786, 948, 721, 4368, 873, 1354, 8373, 14340, 780, 274, 269, 2878, 3519, 30084, 4995, 7053, 267, 2015, 1018, 4523, 1310, 1945, 4422, 4636, 269, 1879, 972, 781, 513, 3595, 693, 1753, 267, 3025, 1590, 4734, 3533, 1247, 7996, 585, 23001, 16146, 269, 2060, 8697, 2565, 5989, 267, 3506, 2673, 1524, 267, 17365, 8637, 2196, 856, 540, 1426, 267, 543, 5605, 592, 1734, 3112, 4431, 547, 18002, 269, 4197, 4539, 786, 18663, 721, 547, 7413, 4220, 2094, 6604, 568, 2141, 1732, 982, 10826, 780, 3719, 7227, 256, 1703, 781, 811, 256, 20226, 946, 4359, 2409, 547, 5659, 1239, 543, 1711, 13502, 269, 2290, 4277, 4480, 3322, 9781, 3761, 11800, 899, 14884, 24317, 5370, 2066, 519, 2197, 610, 6765, 18114, 8744, 15004, 547, 2199, 4213, 269, 4635, 3060, 2257, 267, 789, 14650, 4296, 1063, 1114, 2694, 540, 519, 5832, 267, 4543, 5544, 1022, 1761, 4420, 6352, 1815, 802, 610, 4617, 6402, 780, 5194, 3579, 1505, 5654, 883, 7893, 15658, 5270, 269, 6056, 1394, 547, 519, 3713, 1161, 10478, 585, 3983, 16921, 269, 5502, 540, 3274, 8384, 856, 585, 873, 267, 9327, 1405, 621, 581, 1390, 952, 649, 1223, 18609, 873, 10691, 547, 3479, 10963, 538, 519, 1101, 1747, 286, 667, 2678, 5270, 6482, 13290, 4010, 602, 1107, 4466, 2500, 2081, 547, 25339, 6937, 998, 2069, 267, 13178, 267, 610, 824, 3860, 3435, 780, 3383, 1985, 942, 596, 1294, 4070, 4600, 5355, 9897, 267, 7128, 10492, 1273, 13764, 16973, 267, 610, 8030, 4509, 5122, 21870, 267, 3314, 602, 891, 3646, 3565, 3648, 2509, 17420, 938, 2950, 269, 1656, 1631, 9358, 917, 513, 3787, 811, 827, 519, 4241, 1158, 540, 2565, 5989, 4027, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1692, 568, 519, 3069, 3297, 2565, 5989, 270, 4486, 2200, 630, 5746, 298, 305, 264, 4027, 9687, 286, 31943, 619, 945, 2936, 2994, 1058, 581, 8746, 741, 2994, 616, 1759, 593, 3280, 3069, 267, 855, 3069, 27372, 1175, 607, 4640, 27372, 269, 3509, 6436, 267, 2553, 267, 543, 3631, 4882, 574, 2827, 585, 16275, 298, 305, 4027, 723, 1044, 6069, 543, 2919, 936, 519, 1296, 269, 901, 1957, 26564, 1896, 540, 891, 4485, 543, 6941, 875, 789, 9305, 547, 2596, 1981, 2035, 6045, 538, 519, 4972, 540, 13067, 14657, 8232, 630, 291, 9391, 264, 11485, 22858, 6625, 563, 2171, 2491, 2189, 7418, 540, 2081, 547, 2203, 3463, 267, 13438, 267, 543, 12343, 267, 799, 723, 6286, 585, 875, 649, 2708, 1981, 269, 901, 960, 13976, 593, 3105, 960, 538, 519, 2127, 540, 4238, 1382, 267, 19175, 3069, 267, 3060, 2257, 267, 3339, 8009, 3069, 267, 543, 27103, 25106, 2257, 269, 2859, 4481, 267, 649, 1445, 593, 15658, 5270, 6482, 547, 21656, 3463, 8335, 269, 1284, 849, 2491, 960, 602, 3631, 3761, 11800, 610, 968, 10520, 2536, 11444, 892, 607, 5121, 543, 3365, 773, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 24083, 718, 1436, 22948, 910, 589, 17714, 883, 519, 5843, 2675, 8084, 2622, 540, 631, 26163, 543, 18880, 692, 7072, 692, 5331, 513, 1158, 1141, 4986, 568, 4396, 267, 1141, 3388, 6818, 538, 513, 1533, 540, 3586, 13441, 267, 1141, 972, 616, 1100, 3989, 5546, 267, 3889, 267, 610, 3029, 269, 901, 19858, 9183, 1522, 3280, 899, 1945, 856, 540, 513, 2257, 5708, 3209, 267, 855, 621, 4564, 519, 4641, 602, 6675, 1995, 950, 789, 616, 538, 513, 1533, 540, 25436, 4405, 566, 1107, 513, 2629, 1523, 602, 24598, 1231, 16358, 1436, 3157, 269, 769, 713, 3184, 267, 649, 786, 7832, 593, 606, 3078, 3460, 883, 519, 18784, 7706, 540, 7636, 4205, 267, 3695, 875, 9583, 4351, 5536, 2097, 1927, 547, 1106, 6946, 267, 27101, 267, 543, 4190, 12627, 22092, 1182, 269, 3414, 713, 7634, 267, 649, 2832, 547, 8774, 1769, 593, 519, 4241, 4276, 1063, 4853, 3156, 540, 16358, 1436, 543, 6626, 10952, 5717, 4478, 519, 2470, 540, 1871, 267, 5373, 6667, 689, 519, 11000, 3126, 3964, 538, 8956, 540, 519, 1390, 700, 9169, 16159, 267, 32457, 717, 269, 631, 6758, 523, 780, 4089, 476, 272, 281, 25043, 540, 24083, 718, 1436, 910, 10016, 619, 4405, 566, 543, 715, 16197, 566, 692, 4263, 922, 4295, 267, 16358, 1436, 568, 513, 1184, 9141, 676, 32721, 267, 799, 9598, 919, 602, 1949, 6923, 11457, 2509, 2829, 540, 2539, 1648, 269, 1677, 1174, 875, 713, 6240, 28107, 3294, 538, 519, 5250, 540, 14848, 267, 1577, 721, 1101, 2015, 513, 2241, 1383, 5473, 4006, 630, 338, 1075, 13427, 264, 15702, 538, 1216, 269, 1879, 4006, 568, 3773, 547, 1216, 267, 621, 7620, 4744, 11510, 1813, 547, 519, 10694, 4229, 1063, 519, 7319, 13427, 6675, 543, 1216, 6675, 269, 1717, 267, 952, 649, 3136, 4946, 4006, 3564, 922, 32610, 3970, 267, 519, 3070, 3587, 25436, 18260, 1107, 2495, 602, 621, 3568, 811, 1151, 1393, 630, 338, 13610, 264, 982, 666, 581, 588, 2406, 9738, 538, 513, 15702, 1533, 269, 2311, 713, 1448, 267, 519, 1062, 2833, 513, 6117, 3196, 547, 2569, 922, 2949, 1648, 267, 27510, 519, 7576, 566, 1184, 267, 1282, 799, 6263, 13421, 540, 7319, 13427, 6675, 2253, 547, 1071, 2297, 576, 543, 6582, 2933, 883, 10288, 14249, 269, 1452, 13439, 1417, 13421, 267, 1634, 607, 22140, 267, 1683, 519, 5748, 2390, 799, 3677, 14848, 666, 1332, 780, 763, 2175, 2556, 585, 7576, 566, 547, 2049, 666, 4268, 3648, 4470, 593, 519, 1808, 1826, 540, 1570, 3238, 269, 1280, 3236, 267, 930, 6878, 949, 2154, 1164, 2157, 540, 25436, 4405, 566, 1354, 7576, 566, 666, 30134, 267, 6466, 1866, 949, 31380, 7576, 622, 1256, 693, 5266, 1970, 9830, 269, 3958, 267, 2188, 971, 607, 2837, 267, 2604, 267, 543, 519, 4527, 540, 23606, 610, 4914, 5536, 666, 849, 7494, 3310, 519, 8897, 609, 799, 7576, 566, 4386, 269, 4197, 891, 16082, 568, 2565, 585, 17306, 16358, 1436, 3157, 538, 4853, 5468, 267, 607, 9013, 7576, 566, 3928, 2636, 9755, 547, 20688, 12627, 7306, 267, 10641, 3098, 267, 543, 824, 3601, 547, 2743, 5551, 16551, 780, 4089, 476, 273, 281, 31469, 540, 32423, 12618, 910, 744, 560, 342, 12245, 681, 760, 2287, 543, 2717, 2096, 6973, 1143, 692, 5629, 7576, 566, 814, 3144, 1747, 267, 519, 4611, 14848, 4196, 607, 17074, 585, 2417, 2208, 3842, 519, 1840, 540, 3606, 1151, 1393, 6675, 689, 519, 4478, 3070, 269, 1306, 1007, 6675, 6443, 519, 12627, 24775, 267, 789, 5305, 3002, 540, 12760, 267, 7700, 547, 519, 2949, 608, 1278, 6193, 2470, 540, 519, 16358, 1436, 1184, 269, 21452, 267, 713, 7613, 666, 3006, 1291, 547, 4831, 842, 30698, 4093, 267, 13296, 9023, 513, 3905, 15459, 3070, 1281, 711, 2141, 1267, 538, 7525, 16358, 1436, 282, 3079, 267, 519, 5950, 3002, 1590, 1101, 581, 26632, 730, 1354, 7576, 566, 666, 8399, 780, 10521, 1883, 6127, 1827, 12627, 2208, 281, 744, 560, 342, 12245, 18009, 2287, 543, 26340, 1143, 269, 744, 560, 342, 12245, 18009, 2287, 4016, 547, 519, 12402, 540, 4130, 14848, 547, 23271, 1247, 3677, 3283, 1332, 4776, 5166, 6053, 693, 741, 13258, 269, 901, 2623, 14340, 1317, 4130, 14848, 4865, 2362, 2627, 1858, 3562, 31891, 12753, 267, 1818, 873, 1447, 10069, 13443, 15028, 3379, 547, 741, 3677, 13413, 269, 1635, 28729, 5009, 519, 2208, 540, 1978, 14848, 693, 519, 13258, 540, 1866, 267, 3744, 543, 8030, 666, 13861, 12627, 2450, 14778, 267, 27548, 2326, 609, 14909, 2168, 4162, 780, 21691, 2096, 6973, 1143, 267, 29285, 267, 6257, 519, 2702, 540, 930, 6878, 547, 2291, 538, 2789, 3982, 26543, 3029, 267, 1142, 6353, 676, 2189, 12417, 540, 8444, 1369, 519, 12627, 24775, 269, 901, 3959, 814, 7096, 6286, 585, 1312, 4909, 1382, 543, 4052, 3156, 267, 607, 1114, 26340, 338, 1419, 8858, 6825, 7648, 538, 3114, 2746, 2032, 267, 6617, 267, 32610, 267, 543, 824, 1271, 3601, 269, 9182, 267, 7114, 543, 9013, 519, 5250, 540, 1808, 26340, 338, 4564, 513, 2101, 4161, 538, 4610, 8151, 689, 31534, 1646, 547, 2326, 2257, 780, 4089, 476, 274, 281, 10241, 540, 24083, 718, 1436, 538, 12752, 910, 3245, 14997, 11914, 338, 547, 590, 2438, 13503, 528, 19007, 692, 290, 31051, 1436, 4249, 513, 4105, 1909, 538, 3875, 6080, 267, 3246, 3173, 543, 8030, 609, 3532, 2645, 585, 1625, 4328, 267, 19459, 267, 543, 5935, 1585, 2326, 269, 2368, 8037, 1806, 1331, 1384 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8542, 528, 318, 10037, 318, 11025, 318, 1556, 815, 715, 3036, 4311, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 345, 337, 257, 3910, 1345, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 978, 257, 7481, 1038, 1582, 269, 663, 19553, 274, 318, 1015, 318, 1321, 815, 6730, 4311, 12282, 2794, 314, 273, 3910, 1345, 8542, 528, 318, 10037, 318, 11025, 318, 1556, 269, 16059, 15405, 1038, 1582, 269, 528, 318, 1015, 318, 1321, 318, 1724, 476, 815, 10758, 4311, 269, 663, 19553, 273, 318, 10037, 318, 1015, 269, 16059, 19572, 1345, 269, 663, 19553, 274, 318, 1015, 318, 1321, 269, 16059, 15405, 1038, 1582, 269, 528, 318, 280, 318, 1724, 318, 1691, 567, 815, 10758, 4311, 269, 663, 19553, 272, 318, 11025, 318, 280, 269, 16059, 19572, 1345, 269, 528, 318, 1015, 318, 1321, 318, 1724, 269, 16059, 15405, 1038, 1582, 5861, 27530, 4226, 314, 277, 316, 567, 815, 1582, 269, 528, 318, 280, 318, 1724, 318, 1691, 269, 16059, 30800, 1038, 8173, 1038, 1582, 5861, 27530, 4226, 314, 276, 316, 815, 10758, 7268, 454, 23351, 10758, 7268, 454, 4449, 3546, 6730, 7268, 454, 4449, 7386, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1724, 316, 1040, 16059, 19572, 315, 454, 4449, 7386, 715, 3036, 4311, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 345, 337, 257, 3910, 1345, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 978, 19312, 1040, 16059, 3890, 1040, 16059, 3890, 315, 454, 4449, 7386, 2073, 315, 454, 4449, 3546, 6730, 7268, 454, 4449, 7386, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1724, 316, 1040, 16059, 19572, 315, 454, 4449, 7386, 1582, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 345, 337, 19312, 26444, 4449, 7386, 3738, 315, 454, 4449, 7386, 15426, 16059, 3890, 315, 454, 4449, 7386, 2073, 26444, 4449, 7386, 6730, 7268, 454, 4449, 13376, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1724, 316, 1040, 16059, 19572, 315, 454, 4449, 13376, 1582, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 345, 337, 31116, 4449, 7386, 3738, 315, 454, 14030, 8931, 4449, 7386, 15426, 16059, 4590, 1038, 8173, 1038, 1582, 269, 32491, 322, 3300, 318, 276, 24417, 6831, 276, 318, 280, 815, 5358, 290, 3300, 4311, 269, 8802, 1626, 318, 274, 6831, 272, 318, 276, 269, 16059, 19572, 1345, 5861, 27530, 4226, 314, 277, 3910, 27237, 4311, 5861, 27530, 4226, 314, 277, 316, 1040, 16059, 19572, 637, 564, 267, 20175, 284, 272, 2020, 1038, 1948, 21130, 519, 1982, 322, 3300, 538, 519, 2332, 1317, 607, 649, 917, 519, 3977, 540, 519, 1982, 4831, 786, 1491, 1198, 7711, 512, 266, 272, 855, 649, 616, 24937, 519, 1101, 942, 1900, 540, 3355, 1944, 543, 2469, 2786, 547, 512, 284, 272, 454, 1038, 1948, 1582, 269, 32491, 322, 3300, 318, 276, 24417, 6831, 276, 318, 280, 269, 26303, 10797, 1038, 1948, 856, 2433, 7193, 454, 1038, 1582, 269, 16059, 19056, 6910, 4311, 269, 32491, 322, 3300, 318, 276, 24417, 6831, 276, 318, 280, 269, 16059, 15405, 13872, 825, 1219, 9337, 4311, 267, 296, 514, 267, 14737, 267, 637, 564, 267, 20175, 284, 272, 2187, 1038, 1948, 2562, 296, 2316, 3201, 22003, 9569, 454, 1038, 1582, 269, 16059, 19056, 815, 29129, 1038, 1820, 2891, 322, 30298, 18425, 296, 281, 14307, 296, 514, 267, 296, 514, 314, 271, 316, 2437, 322, 30298, 18425, 300, 281, 14307, 14737, 32007, 1038, 1948, 585, 589, 5528, 454, 1038, 1582, 16638, 1584, 318, 272, 815, 1496, 271, 267, 296, 514, 314, 272, 3910, 296, 514, 314, 273, 3910, 296, 514, 314, 274, 3910, 296, 514, 314, 275, 3910, 296, 514, 314, 276, 3910, 296, 514, 314, 277, 3910, 296, 514, 314, 278, 3910, 296, 514, 314, 279, 3910, 296, 514, 314, 280, 3910, 296, 514, 314, 1015, 3910, 296, 514, 314, 1556, 3910, 296, 514, 314, 1321, 3910, 296, 514, 314, 1724, 3910, 296, 514, 314, 1691, 3910, 296, 514, 314, 1428, 14963, 16963, 1038, 1582, 5861, 27530, 4226, 815, 1496, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2639, 1038, 1582, 12282, 2794, 825, 815, 1496, 13263, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1724, 316, 1040, 16059, 263, 13211, 13376, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1691, 316, 1040, 16059, 263, 13211, 13376, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1428, 316, 1040, 16059, 263, 13211, 13376, 9948, 1948, 297, 2794, 645, 1080, 692, 1038, 1948, 952, 630, 296, 514, 314, 271, 316, 2652, 476, 271, 264, 272, 3116, 1582, 5861, 27530, 4226, 314, 272, 2639, 1038, 1948, 15612, 908, 3281, 645, 1080, 454, 1038, 1582, 5861, 27530, 4226, 314, 271, 316, 815, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1015, 316, 1040, 16059, 3890, 3097, 1038, 1582, 5861, 27530, 4226, 314, 272, 316, 815, 10758, 263, 476, 630, 27237, 263, 296, 514, 314, 271, 316, 1040, 16059, 28829, 476, 2073, 630, 13263, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1015, 316, 1040, 16059, 28829, 476, 15426, 16059, 3890, 1948, 952, 630, 296, 514, 314, 271, 8079, 595, 27530, 4226, 314, 272, 316, 815, 594, 514, 314, 1015, 316, 585, 589, 15696, 3563, 4452, 3787, 454, 1038, 1582, 5861, 27530, 4226, 314, 273, 316, 815, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1556, 316, 1040, 16059, 3890, 1948, 585, 667, 15696, 3563, 4452, 3787, 454, 1038, 1582, 5861, 27530, 4226, 314, 274, 316, 815, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 274, 316, 1040, 16059, 3890, 476, 1948, 834, 320, 257, 3787, 540, 595, 6044, 585, 631, 12458, 631, 5060, 454, 1038, 1582, 5861, 27530, 4226, 314, 275, 316, 815, 1496, 13263, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 275, 316, 1040, 16059, 263, 13211, 4449, 19930, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 276, 316, 1040, 16059, 263, 13211, 4449, 19930, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 277, 316, 1040, 16059, 263, 13211, 4449, 19930, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 278, 316, 1040, 16059, 263, 13211, 4449, 19930, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 279, 316, 1040, 16059, 263, 13211, 4449, 19930, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 280, 316, 1040, 16059, 263, 13211, 4449, 19930, 9948, 476, 1948, 5472, 519, 19106, 11353, 786, 979, 538, 9338, 308, 692, 1038, 1582, 5861, 27530, 4226, 314, 276, 316, 476, 815, 6730, 263, 296, 514, 314, 271, 3910, 296, 514, 314, 1321, 316, 1040, 16059, 4590, 1038, 1948, 27237, 292, 281, 1582, 5861, 27530, 4226, 314, 277, 316, 2838, 519, 3977, 540, 9338, 308, 547, 18287, 10663, 519, 1871, 267, 865, 649, 786, 798, 621, 2663, 593, 267, 950, 649, 3893, 519, 9338, 308, 3977, 7531, 1038, 1582, 5861, 27530, 4226, 314, 272, 316, 476, 815, 10758, 18217, 5588, 263, 296, 514, 314, 271, 316, 1040, 16059, 19572, 1345, 5861, 27530, 4226, 314, 272, 316, 1040, 16059, 3890, 1948, 952, 621, 568, 606, 589, 6044, 1287, 2141, 1305, 621, 547, 476, 272, 3116, 946, 519, 11117, 1871, 540, 524, 27530, 4226, 314, 272, 6540, 1038, 1582, 6230, 5060, 1626, 318, 272, 318, 271, 6831, 271, 318, 274, 815, 631, 5060, 1626, 4311, 16638, 1584, 318, 272, 267, 1345, 269, 3201, 308, 719, 4671, 332, 272, 318, 271, 267, 1345, 5861, 27530, 4226, 314, 271, 3910, 20175, 284, 272, 2020, 1038, 1948, 1948, 589, 318, 2958, 3563, 454, 1038, 1948, 1582, 269, 8802, 1626, 318, 274, 6831, 272, 318, 276, 269, 26303, 4311, 6230, 5060, 1626, 318, 272, 318, 271, 6831, 271, 318, 274, 269, 16059, 19572, 1345, 5861, 27530, 4226, 314, 272, 3910, 20175, 284, 272, 9239, 1038, 1948, 631, 12458, 11578, 454, 1038, 1582, 6230, 5060, 1626, 318, 276, 8548, 6831, 274, 318, 278, 815, 631, 5060, 1626, 4311, 269, 8802, 1626, 318, 274, 6831, 272, 318, 276, 269, 16059, 19572, 14737, 267, 1345, 5861, 27530, 4226, 314, 274, 3910, 20175, 284, 272, 2020, 692, 1038, 1582, 6230, 5060, 1626, 318, 271, 318, 272, 6831, 271, 318, 274, 815, 631, 5060, 1626, 263, 296, 514, 267, 1345, 269, 3201, 308, 719, 4671, 332, 272, 318, 271, 267, 1345, 5861, 27530, 4226, 314, 271, 3910, 20175, 284, 272, 2020, 1038, 1948, 589, 318, 2958, 3563, 454, 1038, 1582, 269, 8802, 1626, 318, 274, 6831, 272, 318, 276, 269, 26303, 4311, 6230, 5060, 1626, 318, 272, 318, 271, 6831, 271, 318, 274, 269, 16059, 19572, 1345, 5861, 27530, 4226, 314, 272, 3910, 20175, 284, 272, 2020, 1038, 1820, 2891, 2411, 19203, 1231, 728, 17765, 2411, 734, 257, 9239, 1038, 476, 19399, 2971, 2162, 692, 1038, 1948, 4635, 9338, 308, 856, 314, 271, 316, 815, 11117, 1871, 282, 856, 314, 272, 316, 815, 1990, 337, 543, 856, 314, 273, 316, 815, 23356, 454, 1038, 1582, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 815, 9338, 308, 4311, 269, 8802, 1626, 318, 271, 6831, 273, 318, 277, 269, 16059, 263, 13211, 4449, 3546, 1582, 6230, 5060, 1626, 318, 276, 8548, 6831, 274, 318, 278, 269, 16059, 263, 13211, 4449, 3546, 1990, 343, 284, 1345, 5861, 27530, 4226, 314, 275, 6012, 271, 16689, 4449, 3546, 562, 343, 284, 1345, 5861, 27530, 4226, 314, 275, 6012, 272, 16689, 4449, 3546, 1990, 344, 284, 1345, 5861, 27530, 4226, 314, 275, 6012, 273, 16689, 4449, 3546, 562, 344, 284, 1345, 5861, 27530, 4226, 314, 275, 6012, 274, 16689, 4449, 3546, 535, 284, 1345, 5861, 27530, 4226, 314, 275, 6012, 275, 16689, 4449, 3546, 1100, 284, 1345, 5861, 27530, 4226, 314, 275, 6012, 276, 16689, 4449, 3546, 5295, 284, 272, 9239, 1038, 1948, 719, 2433, 856, 300, 454, 1038, 856, 300, 815, 1582, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 719, 257, 6540, 1038, 1582, 269, 3201, 308, 719, 4671, 332, 272, 318, 271, 815, 856, 300, 282, 7531, 1038, 1948, 667, 318, 2958, 3563, 454, 1038, 1582, 269, 8802, 1626, 318, 271, 6831, 273, 318, 277, 269, 26303, 4311, 269, 3201, 308, 719, 4671, 332, 272, 318, 271, 267, 1345, 5861, 27530, 4226, 314, 273, 3910, 20175, 284, 272, 2020, 1038, 1820, 19629, 333, 288, 318, 2958, 3563, 24333, 1345, 269, 8802, 1626, 318, 274, 6831, 272, 318, 276, 269, 16059, 3890, 11850, 1038, 1820, 2891, 291, 318, 2958, 3563, 24333, 1345, 269, 8802, 1626, 318, 271, 6831, 273, 318, 277, 269, 16059, 3890, 32007, 1038, 1820, 19629, 333, 14826, 19399, 10310, 5992, 2162, 5602, 1038, 1820, 2891, 291, 17750, 24333, 1345, 269, 8802, 1626, 318, 271, 6831, 273, 318, 277, 269, 16059, 3890, 11850, 1038, 1820, 2891, 300, 12458, 17750, 24333, 1345, 6230, 5060, 1626, 318, 276, 8548, 6831, 274, 318, 278, 269, 16059, 3890, 11850, 1038, 1820, 2891, 3201, 308, 3403, 281, 14307, 1345, 5861, 27530, 4226, 314, 275, 316, 2437, 3201, 308, 318, 719, 24333, 719, 300, 11850, 1038, 1820, 2891, 345, 337, 281, 14307, 1345, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 345, 337, 19312, 2437, 978, 281, 14307, 1345, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 978, 257, 7481, 1038, 1820, 2891, 19399, 10310, 5992, 2162, 315, 333, 15419, 1038, 1820, 2891, 2411, 19203, 719, 2515, 17765, 2411, 734, 15419, 1038, 1582, 269, 16059, 19056, 6910, 263, 719, 300, 2020, 1038, 1948, 719, 2433, 2328, 300, 454, 1038, 1582, 269, 16059, 19056, 6910, 4311, 5861, 27530, 4226, 314, 276, 20285, 1038, 1948, 719, 2433, 2232, 300, 454, 1038, 2232, 300, 815, 1582, 269, 8802, 1626, 318, 274, 6831, 272, 318, 276, 269, 16059, 4590, 1038, 1582, 269, 16059, 19056, 6910, 263, 5417, 816, 300, 9239, 1038, 1948, 29626, 519, 4452, 3787, 540, 519, 1982, 4831, 1210, 30180, 11353, 543, 519, 17016, 540, 519, 9338, 308, 454, 1038, 1582, 269, 663, 19553, 272, 318, 11025, 318, 280, 476, 815, 6730, 4311, 12282, 2794, 314, 271, 3910, 1345, 269, 2728, 318, 277, 318, 278, 6831, 275, 318, 279, 269, 16059, 3890, 14277, 978, 257, 7481, 1038, 1582, 269, 663, 19553, 273, 318, 10037, 318, 1015, 815, 6730, 4311, 12282, 2794 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5403, 1673, 1778, 720, 267, 519, 10138, 2115, 7738, 543, 19703, 5781, 2394, 4628, 646, 4705, 269, 25095, 7821, 543, 4550, 13611, 6527, 616, 3006, 11311, 1759, 593, 10335, 563, 275, 269, 5901, 588, 718, 1964, 1282, 6051, 282, 6417, 3635, 666, 1376, 1310, 15360, 609, 519, 17022, 780, 1262, 7093, 3685, 16001, 2080, 616, 930, 2081, 547, 2061, 11876, 1993, 26252, 525, 1384, 272, 269, 8617, 2484, 8175, 1416, 5849, 1697, 11876, 1993, 5826, 543, 1072, 269, 21480, 20499, 1169, 3670, 4374, 563, 273, 269, 32754, 1434, 12775, 676, 5329, 11876, 7174, 2973, 543, 3819, 269, 2422, 513, 5848, 584, 6500, 547, 1832, 519, 13855, 8465, 563, 274, 269, 3687, 4476, 4598, 547, 6632, 5054, 8164, 2009, 269, 1403, 2324, 538, 544, 28854, 2175, 267, 27125, 1055, 3952, 543, 4019, 513, 8825, 13021, 656, 563, 275, 269, 18554, 707, 7504, 3232, 585, 2038, 7020, 540, 1761, 2152, 269, 6733, 585, 11912, 267, 20015, 2478, 267, 610, 10007, 12758, 538, 519, 11876, 1993, 269, 17372, 873, 16425, 1354, 4551, 4283, 519, 11876, 1993, 23555, 780, 1103, 3932, 267, 11876, 1993, 26252, 525, 616, 1455, 2042, 7133, 9640, 5001, 269, 1635, 1565, 875, 547, 5431, 2589, 267, 3343, 3617, 2126, 267, 543, 2259, 6604, 2994, 267, 649, 1831, 1732, 9280, 547, 2327, 938, 9640, 3251, 6126, 543, 2635, 269, 5457, 267, 2760, 19292, 547, 3346, 513, 11967, 16943, 693, 519, 1101, 1129, 540, 8373, 269, 8625, 267, 649, 666, 1683, 5140, 1416, 585, 938, 10475, 1226, 1149, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 303, 584, 921, 670, 860, 1429, 545, 715, 841, 3203, 4675, 15533, 585, 9042, 1923, 552, 29074, 563, 14367, 3310, 543, 13007, 786, 581, 14406, 269, 634, 13037, 1899, 1575, 786, 1331, 835, 540, 519, 1101, 2982, 1394, 609, 519, 2185, 3312, 2818, 540, 634, 4414, 12182, 932, 8270, 3212, 13827, 269, 634, 1397, 568, 1422, 892, 12671, 1582, 22325, 267, 519, 1480, 1560, 607, 606, 1148, 17198, 267, 16851, 267, 26137, 640, 543, 20835, 315, 6100, 4964, 11536, 290, 547, 14827, 563, 10387, 841, 610, 2974, 20713, 269, 10426, 5320, 1280, 326, 582, 21189, 286, 13028, 3171, 25733, 8535, 27678, 4658, 269, 6178, 909, 6178, 538, 269, 2353, 2924, 11603, 269, 2776, 341, 9137, 269, 8921, 9137, 269, 13834, 22503, 21058, 269, 2353, 769, 2290, 9255, 269, 6723, 681, 269, 631, 903, 10628, 1401, 1816, 1161, 269, 634, 631, 6269, 1115, 3126, 827, 11272, 2904, 1335, 17020, 538, 519, 1568, 1422, 892, 19853, 1491, 568, 4195, 267, 1187, 267, 7574, 543, 540, 1576, 267, 554, 559, 13895, 315, 9731, 306, 7224, 641, 13928, 326, 26082, 1965, 7964, 28459, 674, 10270, 1849, 534, 607, 513, 1543, 17082, 590, 7224, 641, 13928, 326, 568, 849, 11836, 674, 10270, 1849, 534, 315, 685, 338, 4604, 540, 19971, 2899, 519, 2754, 4422, 1857, 269, 20211, 1228, 9605, 3136, 547, 751, 848, 1007, 1570, 609, 6656, 2575, 543, 2022, 11568, 674, 753, 723, 1044, 4687, 741, 13875, 689, 519, 6512, 2228, 269, 634, 5510, 338, 7428, 5489, 841, 772, 269, 681, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 334, 1993, 12559, 947, 525, 257, 607, 851, 540, 834, 25503, 1315, 27259, 6925, 1315, 4982, 710, 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, 8702, 547, 938, 3992, 2221, 256, 1284, 2811, 2469, 547, 1451, 827, 875, 930, 1004, 946, 2371, 543, 741, 16392, 3601, 547, 2087, 741, 2790, 1072, 543, 8171, 269, 901, 2259, 568, 4742, 811, 2442, 891, 2395, 607, 1004, 3605, 922, 1761, 2640, 269, 1924, 1577, 781, 4685, 1318, 883, 621, 2439, 5331, 2348, 513, 3983, 1554, 1141, 4986, 4667, 547, 979, 1318, 269, 1411, 1745, 8909, 267, 14221, 267, 543, 1175, 1616, 547, 1225, 331, 909, 538, 5127, 782, 1554, 269, 3767, 4952, 972, 729, 1945, 2067, 602, 1223, 948, 596, 1745, 1732, 910, 1100, 21447, 2838, 269, 2334, 781, 1141, 1978, 2371, 2097, 538, 256, 2368, 2371, 2270, 2027, 6464, 1572, 834, 10043, 11155, 716, 1161, 257, 602, 666, 1860, 875, 649, 1589, 267, 1745, 267, 543, 13498, 1919, 1472, 721, 269, 1879, 1031, 19100, 896, 3318, 5583, 267, 789, 666, 5732, 3142, 8323, 547, 1346, 10010, 609, 2790, 1072, 2152, 899, 4160, 267, 4965, 267, 543, 1256, 8213, 780, 3080, 971, 1268, 945, 15156, 585, 713, 568, 22186, 9068, 715, 565, 2917, 267, 606, 4810, 1870, 30513, 945, 11099, 538, 519, 7067, 7060, 540, 891, 2371, 269, 2701, 10905, 1585, 2553, 899, 7362, 1740, 267, 10649, 267, 2575, 267, 543, 15472, 2059, 609, 519, 946, 540, 28400, 5562, 6878, 630, 8974, 2564, 15569, 264, 547, 1711, 1018, 1352, 7125, 834, 21579, 611, 6062, 11202, 1811, 1701, 6056, 540, 873, 607, 2189, 15322, 2966, 4481, 585, 1142, 1367, 547, 2263, 741, 8186, 543, 4664, 1247, 11303, 676, 11215, 2828, 543, 4648, 780, 3086, 267, 1354, 4896, 4991, 1932, 9599, 827, 3843, 856, 891, 11444, 267, 3314, 602, 3106, 2501, 1101, 256, 3807, 1317, 1945, 568, 2067, 3085, 1405, 1611, 621, 781, 8850, 2922, 269, 11408, 5077, 609, 8036, 3782, 7426, 950, 6236, 1022, 4244, 11257, 267, 1519, 3283, 5473, 2371, 543, 741, 7135, 780, 4131, 781, 2911, 827, 1776, 1271, 2460, 1631, 910, 4881, 513, 3811, 1870, 10704, 1472, 4543, 1004, 998, 891, 2853, 269, 19737, 543, 3395, 513, 7817, 3490, 3322, 2312, 2792, 267, 1620, 6075, 2115, 267, 543, 2870, 20605, 2833, 269, 1280, 3236, 267, 952, 596, 2196, 513, 1747, 5356, 11461, 7886, 1210, 891, 2409, 267, 1818, 2386, 1169, 21233, 7959, 20888, 267, 4862, 267, 543, 12595, 786, 5000, 873, 547, 2132, 543, 4363, 707, 3028, 547, 1866, 269, 2991, 718, 267, 2262, 6361, 2173, 1926, 3788, 835, 540, 519, 1034, 3532, 6725, 2994, 2439, 1103, 3932, 267, 9256, 3504, 7326, 609, 2413, 2257, 10741, 9885, 547, 5499, 2081, 540, 5885, 2790, 1072, 269, 1717, 267, 3743, 6165, 543, 5683, 2359, 3741, 2611, 2629, 3334, 585, 1312, 2043, 5275, 2126, 543, 11639, 5887, 1005, 883, 713, 2361, 269, 5457, 267, 2921, 1416, 540, 6000, 543, 1866, 6038, 5012, 547, 18668, 2729, 4904, 609, 2648, 543, 8296, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 29038, 6341, 611, 6062, 11202, 1811, 2060, 22186, 9068, 715, 565, 2917, 454, 21579, 611, 6062, 11202, 1811, 26779, 7362, 1740, 267, 10649, 267, 3280, 267, 3350, 267, 7544, 267, 2470, 267, 543, 513, 15962, 2146, 547, 1489, 596, 538, 707, 3460, 269, 1452, 2645, 666, 948, 12260, 519, 1379, 602, 596, 723, 538, 707, 2247, 547, 16616, 519, 3020, 1582, 799, 568, 6986, 2648, 269, 634, 2030, 4915, 25174, 568, 1934, 2443, 609, 8810, 2164, 538, 17212, 1324, 4160, 267, 17971, 267, 23776, 543, 15522, 8213, 267, 4965, 267, 543, 1851, 865, 1082, 824, 1761, 2640, 563, 298, 987, 9068, 715, 565, 2917, 568, 606, 16724, 540, 936, 476, 1789, 1296, 5883, 543, 14379, 616, 519, 2706, 335, 10183, 1352, 14560, 547, 1921, 1004, 269, 2701, 5932, 2833, 602, 616, 12300, 543, 568, 13730, 827, 7487, 1866, 6126, 269, 22186, 9068, 568, 513, 10076, 1072, 12167, 543, 568, 13730, 827, 519, 14715, 2640, 540, 623, 1910, 32676, 923, 269, 4173, 1544, 568, 2141, 547, 723, 5813, 15564, 25378, 7391, 827, 25386, 2833, 267, 31509, 8533, 267, 543, 4791, 1382, 593, 2790, 1072, 269, 4097, 332, 1923, 5463, 476, 1626, 267, 476, 1708, 273, 454, 268, 589, 5425, 12524, 2060, 631, 26474, 14977, 454, 300, 26474, 14977, 814, 17251, 2101, 1971, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13662, 22180, 1315, 6657, 5004, 1315, 1849, 1304, 22580, 543, 4825, 1549, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 5149, 476, 1015, 281, 29042, 16319, 281, 10289, 1744, 6033, 654, 11208, 13756, 692, 7072, 692, 2691, 7234, 519, 1909, 540, 2575, 538, 5935, 519, 5289, 5251, 540, 3013, 267, 621, 568, 7543, 547, 26777, 519, 7096, 1764, 1500, 676, 519, 2136, 5980, 540, 5617, 773, 951, 538, 2441, 779, 5822, 2561, 8960, 267, 1732, 1634, 607, 519, 1744, 5474, 269, 901, 2146, 267, 799, 7153, 538, 519, 3735, 476, 1240, 628, 2540, 267, 17947, 513, 2189, 1935, 547, 4984, 602, 5116, 1713, 8561, 593, 7544, 267, 669, 13589, 267, 543, 1728, 332, 985, 1282, 741, 2533, 269, 769, 713, 1770, 267, 649, 786, 5490, 883, 519, 4241, 1158, 540, 1744, 6033, 10847, 2853, 267, 9878, 1880, 3007, 547, 741, 946, 540, 2575, 543, 922, 3310, 593, 7249, 2958, 1049, 7589, 267, 18497, 2713, 267, 543, 4008, 6384, 269, 1284, 786, 849, 2263, 19320, 1063, 3140, 1744, 6033, 5389, 543, 4207, 7215, 540, 17035, 267, 3850, 721, 547, 5660, 519, 11972, 4644, 540, 713, 3350, 1369, 2413, 2486, 780, 296, 269, 8466, 11137, 540, 519, 1744, 5474, 454, 288, 269, 17959, 543, 5853, 619, 454, 272, 269, 12624, 7788, 10557, 630, 15876, 277, 1700, 9965, 275, 264, 910, 2296, 2372, 6033, 5828, 1347, 29487, 6205, 945, 8547, 519, 1744, 5474, 1310, 19101, 10143, 13414, 563, 273, 269, 634, 10999, 16135, 538, 15940, 658, 1143, 267, 13767, 756, 2329, 267, 1476, 11970, 540, 5609, 267, 543, 7862, 540, 519, 28486, 563, 289, 269, 18877, 538, 3013, 454, 272, 269, 12878, 2082, 1101, 11175, 538, 4826, 341, 331, 2884, 267, 1715, 3840, 630, 333, 792, 19186, 1415, 1070, 538, 476, 10082, 277, 563, 273, 269, 30078, 15376, 6603, 5111, 476, 276, 267, 1822, 2043, 3262, 2429, 562, 31106, 2950, 538, 519, 772, 2529, 269, 543, 4516, 563, 290, 269, 13207, 710, 543, 22684, 454, 272, 269, 19573, 531, 7771, 1813, 547, 2188, 971, 607, 6848, 18349, 267, 3668, 540, 1007, 2818, 267, 543, 900, 12568, 563, 273, 269, 7831, 17005, 4759, 5747, 538, 476, 1960, 273, 267, 3927, 10678, 6896, 1744, 6033, 1143, 563, 274, 269, 7736, 1005, 9371, 2882, 11599, 6189, 267, 11647, 1374, 267, 543, 7418, 547, 1977, 12563, 2575, 780, 2862, 269, 28042, 15689, 540, 1744, 6033, 654, 11208, 7896, 454, 288, 269, 932, 13589, 543, 7327, 532, 454, 272, 269, 589, 1309, 653, 7578, 32711, 4926, 1572, 968, 326, 3424, 8964, 892, 941, 7000, 547, 1367, 1744, 5474, 1282, 11755, 610, 9066, 563, 273, 269, 10705, 16625, 23964, 10483, 676, 2241, 11745, 625, 282, 5931, 15091, 4798, 540, 2648, 267, 9322, 267, 543, 20174, 563, 274, 269, 6468, 3335, 3366, 13465, 267, 10452, 552, 6549, 9107, 2418, 3823, 4008, 5107, 538, 10847, 5468, 563, 289, 269, 667, 3496, 454, 272, 269, 19612, 585, 3235, 18878, 15472, 6353, 676, 4028, 5322, 267, 24373, 267, 18343, 267, 543, 17259, 563, 273, 269, 6239, 2832, 729, 547, 3035, 9769, 609, 2696, 998, 2168, 25874, 543, 10205, 618, 540, 1582, 563, 274, 269, 25037, 539, 609, 2757, 17557, 29559, 1141, 15629, 1869, 1145, 1282, 10847, 729, 9415, 563, 290, 269, 29698, 454, 272, 269, 10021, 3320, 8246, 29586, 25576, 15664, 7405, 899, 512, 3711, 712, 1149, 267, 12730, 267, 543, 11308, 7161, 563, 273, 269, 12769, 31531, 1031, 5569, 539, 7405, 971, 607, 3423, 1231, 267, 546, 592, 322, 574, 619, 267, 543, 1256, 513, 18634, 7333, 14765, 563, 274, 269, 22716, 529, 593, 16134, 10630, 4295, 3741, 540, 21548, 267, 2182, 960, 267, 543, 27527, 780, 7656, 269, 17583, 9737, 8535, 543, 7991, 5020, 454, 288, 269, 18964, 30880, 454, 272, 269, 5556, 2958, 1049, 9525, 1898, 585, 5807, 7104, 3961, 543, 22122, 1851, 21071, 563, 273, 269, 2353, 2818, 1107, 7488, 540, 2085, 267, 5198, 267, 610, 4008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2831, 7985, 689, 2085, 5829, 3676, 543, 5884, 16349, 569, 563, 7212, 267, 804, 2158, 689, 824, 2249, 1869, 2408, 2635, 267, 8983, 804, 19861, 1210, 30717, 2281, 723, 513, 2362, 982, 4397, 2669, 2557, 689, 5563, 543, 646, 31154, 5821, 563, 5522, 698, 4240, 609, 513, 5312, 543, 11636, 5761, 2068, 267, 14830, 12579, 941, 7142, 547, 1480, 569, 552, 3578, 534, 1125, 667, 14709, 538, 5988, 476, 1220, 274, 269, 667, 14709, 5030, 5111, 476, 2568, 260, 540, 519, 3339, 14438, 540, 13265, 630, 17884, 958, 476, 1556, 547, 476, 1321, 1296, 264, 543, 2919, 824, 2175, 630, 324, 3052, 1421, 5312, 12263, 264, 1454, 4505, 982, 4397, 538, 513, 13265, 781, 3339, 14438, 269, 667, 14709, 781, 9583, 17866, 1072, 267, 2059, 609, 811, 20902, 12194, 540, 16349, 10172, 538, 804, 19861, 2831, 267, 17105, 12194, 1101, 6659, 676, 513, 1353, 538, 476, 1960, 280, 602, 667, 14709, 781, 22007, 727, 637, 941, 10156, 982, 3339, 563, 307, 601, 727, 637, 616, 519, 2168, 7475, 32541, 15954, 543, 1404, 513, 1909, 538, 519, 18643, 543, 32278, 540, 519, 15954, 2390, 799, 789, 21078, 269, 20052, 727, 637, 616, 24704, 676, 519, 11747, 22007, 9593, 848, 269, 20052, 9593, 848, 568, 835, 540, 519, 2188, 5156, 547, 1852, 519, 3259, 540, 22007, 727, 637, 602, 949, 957, 607, 513, 6211, 9219, 585, 519, 1591, 563, 6097, 547, 519, 22007, 558, 699, 3069, 540, 10172, 267, 1282, 5027, 10282, 267, 5027, 29920, 14543, 547, 21613, 782, 540, 519, 31332, 7408, 4611, 538, 27571, 22007, 727, 637, 11652, 8754, 27571, 15954, 1765, 5976, 1142, 20422, 5108, 540, 1591, 6498, 269, 16828, 267, 519, 1591, 786, 1100, 3476, 7941, 543, 1310, 2614, 2565, 4525, 723, 1044, 25216, 267, 519, 1591, 4783, 786, 10654, 543, 519, 1591, 786, 5884, 563, 10303, 22007, 9593, 848, 568, 711, 3742, 782, 519, 942, 267, 6862, 568, 621, 1336, 538, 1169, 1591, 540, 519, 1560, 267, 519, 4719, 7939, 540, 22007, 9593, 848, 568, 896, 7920, 1353, 269, 12824, 723, 4362, 602, 952, 519, 2962, 540, 22007, 9593, 848, 568, 29169, 267, 519, 22007, 558, 699, 786, 25983, 958, 2110, 523, 543, 3976, 17108, 519, 2489, 10172, 1184, 540, 519, 1591, 563, 4263, 513, 5934, 267, 28295, 23352, 4719, 8390, 543, 3976, 267, 666, 581, 17672, 538, 519, 1279, 2165, 267, 3056, 547, 538, 3691, 5338, 543, 2799, 18687, 547, 3676, 269, 4014, 28295, 849, 6585, 9153, 585, 9494, 1978, 4686, 14981, 540, 2831, 689, 14486, 267, 585, 930, 540, 873, 267, 4466, 519, 1147, 5766, 622, 11299, 666, 581, 513, 4161, 1655, 11609, 676, 8959, 8062, 609, 28295, 540, 21795, 563, 268, 1849, 821, 543, 1849, 11238, 910, 634, 15979, 2986, 1849, 11238, 454, 268, 1849, 821, 543, 1849, 11238, 910, 634, 1849, 11238, 6713, 454, 268, 4033, 5131, 2037, 9871, 2664, 553, 0, 16631, 547, 23512, 790, 454, 11947, 1153, 2257, 3085, 1405, 723, 547, 581, 19309, 563, 1607, 3135, 2488, 3610, 609, 2789, 2238, 6322, 693, 1032, 476, 278, 268, 279, 547, 4497, 1053, 593, 519, 1543, 540, 2339, 538, 606, 4277, 1259, 563, 8002, 8481, 2832, 547, 1832, 1053, 3742, 267, 2502, 538, 1909, 25178, 267, 1895, 4058, 543, 17634, 547, 2263, 519, 1888, 563, 5475, 11264, 891, 2238, 267, 1053, 1058, 723, 3710, 513, 9325, 2203, 540, 17571, 267, 15559, 543, 9362, 543, 581, 2111, 547, 4766, 3601, 540, 1142, 269, 0, 6624, 1296, 540, 3408, 723, 17820, 519, 10421, 585, 2866, 5773, 602, 13498, 519, 12205, 1063, 19920, 685, 1514, 267, 2123, 267, 2790, 267, 424, 373, 368, 424, 356, 478, 423, 483, 372, 424, 480, 361, 27338, 425, 488, 372, 543, 4416, 2880, 2490, 540, 2621, 267, 607, 1134, 607, 741, 2168, 543, 3929, 1134, 5630, 563, 2304, 3003, 27344, 2866, 6212, 593, 519, 2407, 6708, 540, 513, 4819, 779, 24233, 4170, 547, 10018, 602, 1142, 4819, 21128, 693, 741, 2407, 652, 1761, 269, 1323, 3003, 4819, 1935, 2440, 515, 2738, 602, 896, 13231, 625, 685, 18375, 543, 1272, 2164, 616, 1641, 547, 741, 16153, 339, 766, 547, 6870, 543, 18136, 1565, 2175, 543, 3638, 2208, 3255, 782, 998, 1153, 563, 300, 8221, 4724, 606, 3003, 27344, 18375, 814, 3573, 29298, 585, 519, 1153, 1062, 269, 19577, 1759, 3003, 4819, 16097, 6451, 4058, 2078, 25700, 1565, 2175, 282, 2870, 3872, 1982, 267, 5583, 267, 543, 20241, 585, 811, 7096, 16116, 909, 282, 4758, 20291, 896, 13231, 344, 15081, 9529, 282, 3478, 4712, 3610, 585, 3003, 4819, 2259, 282, 543, 3001, 547, 513, 13654, 1259, 547, 4308, 609, 13422, 1136, 547, 948, 1142, 4819, 563, 6624, 1296, 540, 3408, 723, 3254, 519, 10421, 585, 6044, 5773, 602, 13498, 519, 12205, 1063, 3214, 685, 1514, 267, 2123, 267, 2790, 267, 543, 4416, 2880, 2490, 540, 2621, 267, 607, 1134, 607, 741, 2168, 543, 5626, 9716, 563, 2304, 3003, 27344, 18375, 6212, 593, 519, 2407, 6708, 540, 513, 4819, 779, 24233, 4170, 547, 10018, 602, 1142, 4819, 21128, 693, 741, 2407, 652, 1761, 269, 1323, 3003, 4819, 1935, 2440, 515, 2738, 602, 896, 13231, 625, 685, 18375, 543, 1272, 2164, 616, 882, 5050, 2390, 741, 16153, 339, 766, 547, 6870, 543, 18136, 1565, 2175, 543, 3638, 2208, 3255, 782, 998, 1153, 563, 300, 8221, 4724, 606, 3003, 4819, 18375, 814, 27763, 29298, 585, 519, 18375, 1062, 269, 19577, 1759, 3003, 4819, 16097, 6451, 4058, 2078, 25700, 1565, 2175, 282, 2870, 3872, 1982, 267, 5583, 267, 543, 20241, 585, 811, 7096, 3478, 519, 13793, 540, 282, 4758, 20291, 896, 13231, 344, 15081, 9529, 282, 4058, 16929, 585, 3003, 27344, 2259, 282, 543, 3001, 547, 513, 4909, 1259, 547, 4308, 609, 13422, 1136, 547, 948, 1142, 4819, 563, 9743, 2315, 568, 513, 1455, 15698, 543, 513, 1857, 22510, 269, 634, 3384, 5010, 5314, 543, 3051, 26494, 538, 543, 540, 18375, 568, 519, 1655, 8594, 547, 423, 364, 498, 424, 373, 368, 423, 507, 376, 424, 480, 361, 27338, 425, 488, 372, 6104, 5109, 1863, 2298, 1533, 14102, 2866, 585, 782, 563, 516, 1136, 13560, 634, 6356, 2986, 2382, 10614, 16743, 454, 302, 32054, 1296, 723, 2938, 606, 9058, 1646, 538, 519, 7344, 1158, 269, 2060, 606, 2479, 2810, 1297, 540, 2043, 3478, 883, 2780, 1242, 2923, 267, 621, 568, 4909, 585, 7855, 547, 8415, 519, 1034, 2487, 15457, 520, 4926, 3015, 538, 741, 960, 547, 2721, 538, 896, 13231, 625, 269, 1677, 2721, 538, 896, 13231, 625, 538, 1565, 267, 835, 1058, 581, 3860, 543, 3209, 4555, 11129, 547, 581, 4843, 609, 519, 3804, 602, 896, 13231, 625, 1831, 993, 6244, 909, 585, 1018, 789, 616, 16734, 269, 634, 13345, 540, 4051, 633, 5647, 814, 1831, 4909, 585, 7855, 607, 513, 1267, 540, 922, 4644, 538, 519, 1459, 2866, 2872, 563, 763, 5499, 8441, 1500, 2429, 519, 1296, 723, 6766, 1142, 2361, 540, 1272, 269, 1306, 5647, 814, 1831, 811, 1930, 267, 621, 814, 9411, 883, 782, 3344, 540, 938, 2729, 543, 267, 4061, 267, 649, 4867, 2503, 1142, 31942, 602, 649, 946, 547, 581, 7168, 1454, 607, 2964, 1227, 27636, 607, 1223, 581, 4397, 269, 12140, 723, 11338, 17947, 5647, 607, 606, 1898, 4062, 540, 741, 18375, 5872, 543, 267, 13604, 267, 789, 4867, 2709, 3301, 4702, 5049, 267, 1141, 896, 13231, 625, 4137, 856, 875, 547, 3009, 7193, 338, 543, 946, 873, 585, 741, 960, 610, 2238, 563, 763, 13345, 540, 4051, 633, 5647, 814, 13604, 1831, 1713, 585, 519, 1459, 1053, 2094, 621, 3091, 873, 513, 3407, 4960, 547, 1451, 693, 513, 2603, 18334, 10605, 982, 789, 1131, 538, 519, 2680, 602, 789, 941, 711, 9001, 971, 3457, 543, 3785, 563, 763, 1114, 5383, 602, 13173, 9001, 4051, 633, 5647, 616, 607, 829, 519, 1739, 912, 268, 898, 5510, 619, 589, 2859, 3573, 19139, 2986, 10049, 2334, 2052, 2142, 717, 13516, 547, 9453, 1022, 1966, 454, 763, 5458, 2220, 987, 540, 4051, 633, 5647, 602, 568, 3015, 2221, 3091, 896, 13231, 625, 513, 1804, 1297, 540, 5079, 689, 799, 789, 666, 4584, 519, 1655, 3283, 585, 741, 14027, 4170, 269, 901, 20674, 873, 609, 5807, 519, 1318, 4990, 540, 5759, 543, 1344, 865, 789, 666, 2490, 856, 547, 581, 1390, 4966, 538, 741, 13603, 2361, 563, 268, 898, 4329, 10953, 4841, 685, 4039, 1049, 5759, 1656, 13079, 1081, 769, 3427, 1656, 11554, 1604, 23994, 454, 10743, 945, 666, 6655, 1732, 998, 7344, 1797, 786, 1685, 1732, 4416, 16484, 607, 1134, 607, 538, 960, 5468, 2094, 22228, 5759, 616, 4105, 950, 596, 991, 547, 1118, 3054, 2312, 6707, 563, 268, 898, 717, 1161, 589, 8751, 325, 944, 2044, 1656, 14301, 538, 31621, 585, 2208, 1280, 7201, 13231, 625, 454, 763, 1459, 1053, 616, 4397, 547, 4434, 607, 1134, 607, 991, 547, 723, 513, 1434, 942, 693, 519, 1482, 942, 269, 2382, 10614, 5647, 3091, 896, 13231, 625, 519, 4960, 547, 723, 513, 1434, 942, 1247, 16734, 267, 799, 786, 11338, 4217, 873, 609, 6967, 4412, 8215, 543, 993, 6244, 909, 585, 741, 18362, 563, 268, 898, 18983, 1080, 4841, 1677, 7457, 634, 5680, 3245, 7102, 2897, 24269, 10563, 502, 357, 423, 507, 376, 14602, 372, 424, 373, 368, 424, 356, 478, 454, 763, 1357, 814, 1831, 971, 606, 1898, 4062, 540, 938, 2729, 602, 649, 18923, 1265, 2043, 945, 1810, 1406, 8415, 621, 9846, 269, 769, 713, 1554, 543, 2085, 267, 621, 568, 4909, 585, 896, 13231, 625, 547, 723, 519, 4781, 547, 1205, 547, 519, 1357, 689, 1022, 2897, 8164, 865, 789, 666, 9096, 741, 4247, 543, 6514, 1510, 16831, 1645, 782, 1472, 513, 5544, 610, 13793, 9395, 585, 513, 1808, 942, 7406, 950, 789, 666, 798, 607, 971, 563, 1103, 341, 6295, 4051, 633, 5647, 2337, 1053, 538, 971, 6073, 2094, 621, 14998, 873, 547, 12314, 609, 519, 1357, 538, 1022, 2680, 267, 950, 789, 616, 538, 513, 4630, 3266, 558, 267, 1153, 267, 610, 693, 1753, 563, 268, 898, 2667, 1235, 4841, 2060, 13215, 1715, 2806, 1988, 1656, 28150, 1715, 6176, 454, 22913, 532, 1007, 5759, 543, 17516, 1007, 1344, 616, 1079, 4105, 2694, 540, 1272, 602, 1053, 11129, 547, 723, 519, 4781, 547, 5660, 269, 4635, 4051, 633, 5647, 267, 1053, 666, 3489, 891, 5759, 543, 2417, 3467, 6536, 741, 5813, 998, 1114, 3785, 602, 616, 3015, 593, 519, 1357, 269, 1452, 3785, 2709, 896, 13231, 625, 519, 3407, 4960, 547, 1265, 856, 827, 1114, 5396, 602, 616, 4241, 543, 5363, 585, 741, 1880, 4610, 540, 960, 610, 2090, 563, 268, 898, 18983, 1080, 7201, 13231, 625, 1677, 4518, 593, 23067, 2383, 5637, 2271, 5878, 1302, 1656, 2637, 9334, 569, 454, 763, 5383, 540, 9001, 4051, 633, 5647, 11338, 6451, 519, 6454, 540, 1053, 685, 5626, 543, 4890, 8171, 269, 1635, 9001, 891, 3457, 267, 896, 13231, 625, 666, 22010, 741, 16565, 543, 741, 2790, 5759, 267, 799, 3976, 20674, 873, 609, 2324, 593, 741, 14046, 11056, 607, 1134, 607, 741, 4890, 8171, 563, 268, 898, 2667, 1235, 4841, 2060, 5329, 25805, 1677, 11261, 2060, 1715, 20996, 4273, 11306, 454, 15152, 13231, 625, 945, 666, 1832, 25805, 547, 4266, 609, 519, 9663, 1492, 560, 1524, 519, 1899, 7344, 2212, 1811, 786, 2965, 1616, 547, 960, 593, 741, 5813, 883, 1585, 4610, 543, 6536, 1007, 5759, 602, 789, 666, 946, 689, 1631, 593, 269, 1452, 896, 13231, 625, 786, 11338, 581, 3808, 547, 1205, 513, 1007, 1899, 540, 960, 2094, 789, 786, 723, 606, 5140, 8223, 540, 519, 1034, 2487, 3270, 538, 1114, 4610, 543, 723, 519, 4781, 547, 4217, 3906, 609, 7432, 856, 547, 581, 811, 21295, 676, 6616, 875, 1007, 10124, 666, 581, 8246, 585, 1114, 5301, 563, 278, 22436, 3852, 509, 325, 16743, 18509, 1588, 3852, 503, 333, 3852, 353, 515, 9751, 17781, 454, 12749, 2382, 10614, 16743, 18963, 769, 476, 1708, 271, 268, 1708, 272, 454, 763, 4790, 571, 6493, 2986, 2382, 10614, 16743, 454, 763, 13139, 1436, 2986, 16743, 769, 513, 2688, 6437, 454, 10870, 867, 3215, 16743, 769, 634, 13067, 3266, 558, 281, 476, 2190, 3798, 24728, 20905, 1656, 476, 276, 22436, 2986, 2382, 10614, 16743, 10395, 1588, 0, 288, 2793, 14877, 306, 3041, 5508, 5990, 28132, 6020, 289, 28513, 5508, 4959, 299, 4456, 2975, 11581, 24102, 5442, 5990, 29376, 292, 5508, 5990, 11550, 303, 4047, 307, 631, 308, 295, 4456, 300, 4696, 9215, 5990, 667, 14110, 5085, 8008, 16774, 5508, 26827, 30204, 11581, 24102, 454, 23208, 5530, 540, 634, 10417, 267, 20505, 267, 15099, 267, 4804, 10613, 543, 31283, 540, 9099, 4065, 454, 10932, 593, 7418, 538, 4065, 267, 2523 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11750, 607, 513, 23839, 540, 16510, 912, 272, 269, 5292, 12546, 281, 2290, 540, 519, 3119, 4145, 609, 3059, 19728, 568, 741, 7915, 25359, 269, 634, 1871, 540, 1082, 3059, 19728, 666, 11385, 622, 3648, 1369, 2110, 5712, 267, 799, 666, 1118, 873, 1447, 6325, 607, 513, 5420, 540, 5385, 269, 8585, 577, 1218, 16561, 3059, 19728, 949, 3068, 2591, 538, 14499, 741, 5370, 543, 2533, 267, 607, 519, 1871, 540, 519, 9304, 789, 4309, 666, 1689, 6385, 269, 6684, 267, 2043, 8066, 3059, 19728, 949, 1995, 1713, 12374, 610, 9271, 538, 741, 11449, 1379, 454, 273, 269, 27943, 28687, 1643, 1399, 281, 634, 9431, 5251, 4478, 3059, 19728, 568, 1869, 9687, 267, 799, 666, 1711, 10462, 585, 3755, 543, 4213, 269, 7756, 22875, 723, 8795, 4485, 547, 3059, 19728, 267, 609, 930, 8508, 873, 1247, 1866, 20818, 7453, 6042, 610, 30739, 536, 753, 269, 901, 3668, 540, 7833, 640, 666, 1711, 2591, 585, 4213, 5665, 2066, 10665, 543, 949, 15658, 7839, 10073, 540, 3059, 19728, 607, 513, 5420, 540, 5385, 563, 274, 269, 14502, 29203, 281, 2755, 3059, 19728, 2709, 3875, 5383, 267, 789, 849, 2154, 3755, 547, 1174, 543, 6330, 1950, 2930, 2035, 269, 17553, 909, 543, 17516, 3059, 530, 24548, 267, 5883, 4357, 10569, 267, 543, 1620, 519, 14960, 540, 9893, 2029, 666, 581, 18447, 585, 2043, 945, 616, 711, 1099, 10999, 20916, 269, 901, 2930, 6988, 666, 957, 607, 513, 11064, 547, 7127, 585, 1082, 1761, 3755, 267, 12145, 519, 7839, 10073, 540, 3059, 19728, 563, 275, 269, 19768, 540, 20504, 766, 281, 6736, 519, 3395, 8560, 540, 3059, 19728, 267, 741, 10343, 607, 513, 5420, 540, 5385, 568, 1869, 3908, 3379, 547, 2757, 535, 9332, 19728, 269, 2755, 930, 22278, 543, 4213, 723, 3323, 16561, 3059, 19728, 267, 741, 10073, 3788, 5266, 13395, 269, 901, 3668, 540, 10343, 666, 6615, 519, 32636, 543, 10626, 540, 3059, 19728, 267, 607, 3755, 949, 3068, 2591, 4466, 4025, 547, 6108, 741, 3059, 7221, 563, 1103, 3932, 267, 3059, 19728, 2709, 1896, 5383, 607, 513, 5420, 540, 5385, 267, 1519, 4398, 267, 2518, 10333, 267, 2539, 11834, 3790, 267, 543, 8476, 3354, 543, 7834, 269, 1717, 267, 789, 849, 2097, 609, 11393, 971, 607, 25359, 267, 9431, 10462, 267, 2930, 6988, 267, 543, 3908, 10343, 269, 1306, 519, 2029, 543, 9431, 10850, 3136, 547, 11457, 267, 5466, 891, 2591, 786, 581, 2629, 585, 3059, 19728, 547, 8275, 741, 2407, 1761, 607, 513, 13416, 5420, 540, 5385, 269, 0, 24589, 20395, 344, 4249, 513, 2629, 1909, 538, 5466, 6848, 2591, 543, 5807, 2318, 1689, 269, 7324, 922, 1082, 1445, 2127, 267, 24960, 344, 779, 1764, 593, 2069, 543, 16882, 568, 3226, 1713, 269, 1635, 5885, 3872, 7341, 543, 16779, 2043, 267, 513, 17493, 814, 519, 1379, 547, 3337, 513, 17321, 2104, 585, 2950, 5001, 563, 20059, 532, 538, 24486, 912, 3080, 540, 519, 2565, 2853, 538, 24960, 545, 3646, 585, 2069, 568, 10115, 538, 5989, 269, 769, 1082, 27797, 2950, 267, 1569, 547, 1697, 3872, 6703, 12042, 619, 1565, 3255, 269, 5845, 20395, 545, 3906, 666, 3565, 676, 2679, 3506, 267, 8021, 267, 543, 824, 3872, 5238, 269, 6270, 9541, 1683, 1053, 513, 20009, 1565, 1604, 267, 2810, 741, 8458, 540, 4081, 1967, 543, 16882, 563, 306, 3273, 1513, 4721, 543, 6182, 1218, 912, 5194, 2500, 4640, 568, 519, 11865, 540, 25689, 543, 14828, 269, 4065, 1058, 581, 3015, 547, 782, 267, 7488, 540, 8739, 20300, 4282, 269, 5845, 20395, 545, 3906, 666, 1711, 14172, 3292, 547, 1489, 1053, 945, 3068, 2883, 7496, 547, 2069, 269, 1635, 7616, 24875, 12375, 267, 9499, 267, 543, 824, 3872, 9276, 267, 891, 7341, 7668, 964, 6326, 2043, 543, 16491, 873, 609, 519, 2645, 547, 14133, 27268, 563, 30108, 9751, 543, 8081, 912, 29248, 1077, 532, 7855, 998, 2866, 543, 1489, 568, 2629, 585, 7393, 519, 2298, 540, 2069, 269, 5845, 20395, 344, 666, 1404, 513, 1713, 1909, 538, 12180, 11925, 267, 29468, 267, 543, 4116, 2866, 3292, 269, 1635, 5355, 3450, 2409, 543, 10962, 5499, 4485, 267, 24960, 344, 10607, 3872, 4441, 269, 3958, 267, 3246, 2200, 543, 30023, 547, 7855, 2636, 873, 547, 1489, 1732, 543, 3391, 1053, 267, 5807, 741, 2208, 543, 16882, 563, 1103, 2221, 779, 3059, 2085, 267, 2029, 4249, 606, 7533, 1909, 538, 2069, 269, 5845, 20395, 545, 3906, 666, 3895, 2069, 543, 16882, 676, 10115, 538, 1153, 2029, 5989, 543, 3246, 1053, 1569, 547, 5904, 267, 14342, 267, 543, 519, 5769, 269, 1635, 28043, 519, 3059, 7941, 267, 24960, 344, 5849, 782, 1053, 723, 3160, 3255, 547, 1451, 543, 2263, 1007, 2123, 543, 4081, 2208, 18817, 563, 19931, 24960, 344, 538, 2069, 3322, 2502, 609, 519, 2146, 269, 4197, 519, 1808, 2115, 543, 2591, 540, 519, 2146, 2337, 24960, 1235, 20688, 741, 7341, 585, 5021, 1764, 269, 1635, 23712, 609, 2199, 8639, 267, 1519, 3237, 267, 3610, 267, 543, 2146, 3401, 267, 24960, 545, 3906, 666, 1020, 3292, 602, 2232, 519, 2146, 779, 2189, 4170, 269, 901, 1935, 11942, 513, 2631, 540, 9562, 543, 7512, 4264, 1689, 563, 23220, 7627, 13834, 25734, 912, 23220, 7627, 4008, 7862, 568, 606, 1898, 2460, 540, 24960, 344, 538, 2069, 543, 16882, 269, 5845, 20395, 545, 3906, 666, 1445, 593, 7341, 602, 5000, 6690, 685, 2069, 267, 607, 6690, 1419, 3068, 3606, 7496, 547, 1569, 269, 1635, 3246, 3255, 543, 25689, 4481, 2966, 585, 6690, 267, 24960, 344, 2337, 2736, 1524, 4008, 2861, 13103, 543, 5932, 513, 811, 8537, 543, 3160, 2486, 563, 12507, 13501, 543, 16214, 912, 15563, 267, 2500, 24960, 344, 3340, 5464, 543, 6268, 547, 2268, 1764, 543, 2697, 2127, 585, 6454, 269, 5845, 20395, 545, 3906, 1058, 3715, 7347, 5464, 1949, 547, 3950, 519, 3356, 540, 741, 7341, 269, 1635, 11018, 1239, 267, 12570, 4093, 267, 543, 8362, 5275, 5955, 689, 18689, 25808, 267, 24960, 344, 666, 11179, 13217, 922, 2994, 543, 2327, 519, 1034, 1713, 2009, 1764, 593, 2069, 543, 16882, 563, 24589, 20395, 344, 814, 513, 13710, 1909, 547, 1404, 538, 5009, 2069, 543, 16882, 269, 3414, 891, 1655, 2853, 543, 2994, 267, 24960, 344, 666, 12260, 519, 1761, 540, 2043, 267, 7668, 2950, 267, 543, 1628, 513, 17321, 2104, 585, 5481, 547, 2097, 269, 2913, 721, 5431, 519, 10373, 1379, 540, 24960, 344, 543, 960, 1927, 547, 1118, 2069, 543, 16882, 3015, 547, 782, 269, 0, 1692, 1677, 16202, 9406, 2060, 9839, 8376, 888, 29587, 268, 11794, 2732, 568, 519, 1883, 547, 4383, 2295, 3676, 538, 519, 1279, 2196, 269, 12020, 513, 2295, 268, 11794, 7594, 3085, 1406, 1611, 602, 596, 723, 547, 2285, 909, 3388, 596, 2648, 4189, 269, 898, 3274, 1797, 4189, 519, 1318, 1426, 609, 1318, 13980, 563, 2080, 616, 513, 1906, 31452, 602, 1131, 948, 596, 1544, 513, 2295, 268, 11794, 7594, 269, 901, 568, 849, 513, 3730, 1224, 585, 1346, 945, 798, 711, 723, 513, 2295, 2068, 267, 855, 723, 513, 1920, 1686, 540, 2295, 2042, 20620, 272, 269, 11146, 707, 2295, 267, 2648, 707, 19787, 281, 3417, 7899, 540, 5388, 543, 4195, 5613, 602, 2270, 6266, 540, 20249, 267, 8324, 267, 6886, 267, 543, 14434, 538, 707, 7594, 269, 1411, 666, 1376, 676, 10962, 513, 12826, 540, 19997, 2407, 540, 21364, 5388, 899, 23858, 543, 22156, 547, 5529, 609, 4816, 14274, 267, 22872, 17436, 267, 543, 22282, 269, 1684, 711, 1039, 1932, 1454, 540, 10571, 902, 971, 607, 949, 30358, 1047, 543, 10381, 547, 519, 19997, 269, 17865, 543, 14723, 267, 952, 3773, 547, 519, 19997, 267, 1058, 581, 1360, 2370, 269, 769, 513, 1554, 267, 513, 1268, 609, 2295, 2175, 267, 1590, 2832, 585, 4189, 693, 2547, 2947, 32122, 540, 5388, 543, 540, 4195, 5613, 563, 273, 269, 23423, 3983, 8501, 1426, 3688, 281, 589, 2732, 3638, 538, 1970, 29213, 9067, 24418, 1231, 630, 299, 13036, 1070, 2442, 569, 1572, 519, 3983, 8501, 685, 666, 13497, 2333, 707, 1981, 540, 513, 2295, 4323, 563, 274, 269, 16202, 519, 1318, 2186, 540, 11950, 281, 2353, 11950, 616, 711, 3160, 269, 11822, 11950, 1336, 538, 2571, 10425, 267, 3349, 4006, 267, 543, 22269, 533, 625, 723, 1100, 9422, 1871, 269, 24641, 588, 8944, 5388, 267, 2898, 9274, 267, 543, 6775, 5627, 1950, 11950, 630, 9953, 585, 4195, 5613, 982, 10433, 264, 616, 1434, 585, 1072, 563, 275, 269, 9406, 3940, 3638, 2732, 281, 9282, 513, 1164, 3940, 11656, 2732, 568, 2808, 1390, 585, 2597, 2530, 267, 621, 949, 711, 581, 1434, 585, 519, 2295, 269, 589, 1164, 3491, 12888, 2732, 1759, 593, 1164, 19339, 5779, 666, 2333, 707, 1981, 540, 3384, 2295, 3676, 269, 5502, 1331, 891, 2295, 268, 11794, 5946, 538, 707, 7594, 20620, 268, 2274, 534, 29133, 454, 23613, 538, 1164, 14434, 267, 10808, 616, 835, 540, 1072, 5006, 3940, 5079, 602, 596, 666, 1118, 585, 707, 2295, 563, 292, 520, 891, 10808, 585, 513, 2635, 2295, 454, 299, 550, 2812, 616, 1776, 5140, 3903, 547, 1331, 538, 707, 2732, 269, 6181, 6979, 971, 607, 10365, 543, 17112, 616, 3638, 538, 3940, 269, 634, 1655, 3364, 827, 2030, 2861, 3940, 568, 602, 789, 1810, 1406, 2333, 707, 25928, 2157, 563, 276, 269, 10965, 871, 20617, 281, 634, 10543, 15165, 942, 568, 519, 1034, 4152, 942, 540, 519, 1554, 269, 2991, 513, 1554, 23752, 609, 960, 543, 19647, 267, 596, 1745, 899, 544, 684, 4221, 1945, 6653, 543, 30644, 585, 1648, 5818, 610, 1175, 547, 2736, 519, 30627, 269, 5502, 540, 2348, 4006, 2000, 23565, 7401, 543, 865, 10777, 1648, 10425, 602, 616, 4986, 855, 9770, 543, 4006, 267, 1904, 585, 513, 12826, 540, 3905, 10448, 17339, 610, 513, 7484, 540, 3039, 7401, 269, 5901, 5667, 531, 1540, 10808, 543, 5452, 13561, 563, 291, 787, 5613, 616, 3638, 538, 25050, 19153, 267, 20249, 267, 543, 14434, 543, 1118, 1390, 10543, 16152, 563, 268, 667, 3072, 726, 4548, 454, 2026, 789, 616, 3638, 538, 8477, 267, 596, 1590, 2638, 519, 13980, 563, 2791, 666, 849, 1832, 23017, 5388, 538, 707, 12899, 4216, 269, 6008, 3139, 3039, 610, 2699, 11350, 18717, 267, 11945, 21100, 267, 13767, 2044, 267, 17436, 267, 610, 22282, 609, 513, 19471, 16702, 1118, 513, 3501, 10543, 15165, 563, 288, 2898, 3766, 1778, 547, 770, 547, 5529, 609, 1970, 1606, 13610, 25888, 568, 849, 513, 1390, 15165, 4781, 563, 277, 269, 12338, 1394, 6070, 6981, 281, 1280, 513, 2635, 2295, 2759, 1524, 707, 6070, 6981, 269, 5502, 540, 4946, 6070, 547, 707, 25235, 267, 946, 11922, 547, 30993, 707, 1426, 269, 3680, 4189, 9268, 3536, 602, 2270, 1164, 5666, 540, 6070, 543, 9770, 11656, 29089, 2510, 563, 278, 269, 13773, 19872, 281, 4826, 568, 711, 1175, 2629, 585, 519, 8647, 540, 938, 8219, 543, 1166, 5241, 13802, 856, 540, 938, 1560, 267, 855, 621, 849, 11151, 513, 1268, 689, 4189, 811, 269, 1323, 3328, 1268, 1058, 8532, 693, 2547, 476, 272, 547, 476, 273, 30184, 540, 1216, 3232, 8259, 15695, 6382, 676, 513, 4387, 563, 8310, 855, 711, 519, 2547, 267, 1247, 4058, 519, 7594, 4585, 856, 585, 1018, 596, 616, 4189, 269, 3367, 519, 6484, 10297, 593, 26437, 1426, 543, 16098, 5402, 269, 12594, 10297, 593, 782, 26437, 3536, 543, 16098, 1683, 8477, 829, 7674, 1344, 563, 4263, 623, 1678, 1690, 752, 553, 11037, 328, 267, 649, 616, 8149, 547, 8744, 519, 7067, 2360, 540, 25072, 320, 547, 948, 1004, 7092, 689, 2295, 3676, 269, 3220, 269, 808, 269, 670, 732, 754, 3757, 715, 1515, 267, 674, 10133, 1299, 19737, 10615, 540, 623, 1678, 1690, 752, 553, 11037, 328, 6828, 267, 998, 11995, 1382, 267, 6901, 543, 7422, 540, 811, 982, 513, 8717, 723, 2919, 2027, 2126, 2409, 585, 12363, 3676, 971, 607, 8459, 3676, 267, 6797, 2042, 267, 543, 2295, 3676, 269, 1677, 917, 811, 827, 15679, 2839, 312, 4456, 2126, 585, 9315, 13519, 5516, 267, 3346, 721, 693, 4179, 2517, 4178, 4877, 1678, 1690, 752, 553, 11037, 328, 23357, 270, 4186, 9711, 454, 18439, 938, 25072, 545, 4915, 585, 9013, 1164, 1973, 2604, 454, 306, 25959, 821, 16979, 568, 606, 25072, 545, 16185, 5393, 2500, 538, 9013, 1164, 1973, 2604, 269, 898, 1964, 2803, 3339, 1973, 2604, 267, 8060, 4160, 543, 8082, 267, 543, 10607, 13487, 1599, 269, 1677, 917, 811, 827, 519, 32318, 20940, 545, 1587, 2228, 267, 3643, 4179, 2517, 4178, 4877, 1678, 1690, 752, 553, 11037, 328, 23357, 9706, 20094, 4882, 25959, 821, 2389, 762, 1206, 11258, 0, 1103, 2617, 725, 538, 14675, 16513, 532, 10049, 585, 2372, 328, 2678, 12389, 28805, 454, 5591, 1047, 5533, 814, 1831, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8869, 593, 16714, 269, 6684, 267, 4336, 3968, 666, 849, 2014, 5835, 3762, 593, 2915, 6229, 4054, 269, 2480, 2297, 616, 1850, 1652, 7786, 602, 269, 20531, 281, 13928, 6229, 814, 13719, 5072, 543, 3085, 1405, 899, 1279, 5712, 540, 3905, 267, 3819, 4365, 269, 1403, 621, 1743, 625, 856, 1256, 585, 513, 2582, 1554, 267, 519, 856, 25958, 3762, 786, 1085, 25403, 543, 3251, 602, 1259, 610, 6749, 269, 1403, 713, 3884, 1405, 4049, 267, 519, 3529, 786, 9156, 269, 13928, 6229, 630, 290, 1941, 639, 24094, 4700, 568, 513, 3771, 321, 5424, 540, 5614, 585, 1082, 267, 922, 1804, 3043, 547, 11909, 5810, 1159, 1278, 532, 519, 2030, 609, 10347, 24968, 1256, 1354, 922, 16714, 814, 11200, 539, 563, 4002, 2915, 6229, 4054, 267, 29901, 4592, 6495, 4997, 5102, 577, 571, 568, 519, 21465, 19800, 585, 8869, 344, 7646, 1168, 269, 901, 2068, 3123, 513, 3043, 267, 8869, 344, 15098, 593, 5580, 6978, 7252, 269, 1306, 519, 2068, 22264, 267, 519, 3762, 949, 7484, 610, 1225, 331, 16057, 269, 1403, 596, 1294, 519, 3043, 15098, 543, 24140, 5529, 3762, 593, 707, 3529, 267, 9033, 15969, 3112, 10826, 519, 2068, 267, 799, 568, 2907, 3964, 269, 2755, 519, 3762, 949, 6960, 1354, 789, 2887, 538, 4201, 4379, 267, 6960, 3762, 593, 513, 13928, 6229, 3529, 538, 824, 12405, 568, 1419, 513, 1129, 540, 4057, 1072, 269, 901, 568, 513, 2985, 827, 3762, 7432, 6960, 593, 513, 13928, 6229, 3529, 269, 634, 4191, 540, 3597, 4232, 616, 27315, 1154, 3762, 543, 8371, 543, 6978, 1085, 25403, 267, 513, 2783, 6825, 676, 519, 536, 20621, 540, 519, 8728, 543, 4388, 540, 513, 2030, 781, 3762, 269, 21744, 23516, 7822, 269, 6271, 10835, 540, 936, 2914, 23926, 2915, 6229, 4054, 568, 519, 4657, 6978, 2681, 269, 27817, 949, 2490, 5835, 610, 1769, 3039, 547, 5815, 2566, 689, 1932, 1454, 7509, 563, 1607, 3043, 267, 8869, 344, 2208, 568, 1455, 593, 2915, 6229, 3762, 543, 1000, 580, 4388, 269, 898, 568, 2356, 1152, 23815, 269, 15636, 787, 26385, 1025, 697, 610, 12457, 9044, 22630, 9044, 568, 513, 1455, 16507, 2068, 593, 535, 8172, 5810, 269, 4438, 6632, 5614, 4365, 267, 9991, 2915, 6229, 24968, 630, 321, 847, 338, 264, 1020, 9044, 267, 607, 538, 519, 16009, 9634, 609, 11909, 10300, 3996, 3182, 3293, 593, 519, 2451, 269, 589, 281, 13928, 6229, 338, 1360, 4122, 8858, 1225, 1194, 3762, 538, 4832, 267, 865, 8458, 616, 596, 1810, 1405, 723, 1932, 1454, 547, 5855, 827, 269, 1403, 596, 4312, 12630, 707, 2915, 6229, 3529, 538, 519, 2063, 476, 273, 268, 274, 1296, 267, 713, 568, 4625, 3339, 1700, 20365, 3529, 3274, 18387, 1405, 20335, 922, 5072, 1062, 4625, 3964, 269, 13363, 4054, 689, 10980, 2566, 267, 5162, 5945, 267, 543, 2915, 6229, 16004, 337, 4323, 269, 681, 820, 543, 6861, 15468, 3762, 269, 15233, 513, 9033, 8336, 1282, 5229, 2736, 547, 2149, 1007, 5810, 267, 1000, 12127, 267, 543, 16714, 269, 918, 748, 320, 2915, 6229, 630, 290, 269, 737, 748, 320, 264, 543, 29528, 540, 737, 748, 320, 543, 5065, 2915, 6229, 630, 290, 269, 32550, 5866, 264, 616, 11259, 547, 16320, 2350, 333, 846, 543, 7771, 543, 1058, 581, 1031, 547, 5372, 12955, 4054, 563, 763, 15496, 2915, 6229, 630, 290, 1941, 639, 32550, 5866, 264, 568, 513, 1507, 267, 28301, 25798, 3529, 602, 568, 5065, 2429, 519, 9456, 2136, 2276, 269, 7212, 2915, 6229, 338, 616, 1134, 9862, 547, 3162, 10491, 267, 789, 666, 581, 4299, 676, 1082, 10860, 543, 3676, 269, 24367, 2635, 2915, 6229, 4054, 676, 1739, 519, 5227, 2686, 2853, 568, 519, 1101, 1899, 540, 8878, 538, 4227, 1022, 540, 891, 2042, 269, 0, 303, 17123, 281, 769, 713, 1957, 267, 649, 1459, 513, 4214, 540, 18242, 20456, 2983, 334, 24058, 1436, 267, 543, 7291, 519, 2360, 602, 14839, 540, 2520, 2214, 7652, 26708, 17825, 1239, 666, 723, 593, 519, 3761, 5832, 540, 519, 20636, 19777, 7220, 2754, 267, 932, 337, 269, 17713, 523, 563, 17637, 19072, 1385, 1108, 270, 1952, 25209, 281, 589, 9836, 3332, 2689, 27875, 606, 4081, 1702, 7934, 267, 799, 568, 8268, 998, 513, 31544, 1949, 3069, 12191, 267, 543, 513, 10319, 1382, 1935, 269, 634, 10471, 1107, 799, 2882, 2754, 6054, 5627, 513, 1804, 17825, 1867, 267, 4274, 11042, 267, 543, 12170, 7422, 1107, 25457, 513, 8193, 1184, 3842, 16140, 539, 7869, 1505, 563, 8340, 902, 281, 634, 946, 540, 14839, 540, 2520, 2214, 7652, 1239, 568, 1336, 547, 723, 9621, 1761, 538, 513, 3761, 5832, 4398, 2796, 269, 901, 568, 5097, 1336, 547, 581, 1317, 519, 946, 540, 1239, 568, 25340, 8476, 950, 9946, 14650, 1239, 2798, 593, 513, 13664, 4786, 269, 13018, 267, 9806, 593, 17825, 3790, 941, 11552, 691, 1117, 998, 519, 14839, 540, 26708, 12331, 267, 543, 513, 6700, 6467, 689, 5794, 547, 7256, 6154, 697, 563, 10932, 7799, 14591, 270, 574, 4124, 281, 901, 7634, 15109, 1152, 513, 2582, 2013, 2754, 282, 2104, 1382, 1058, 1449, 519, 6708, 540, 1761, 2360, 540, 3308, 5314, 540, 2520, 2214, 7652, 17825, 1239, 2066, 12438, 1049, 6302, 267, 21214, 3003, 3761, 11800, 543, 5924, 6080, 269, 901, 1353, 568, 519, 1101, 540, 922, 2186, 547, 8115, 519, 7934, 1063, 14839, 540, 2520, 2214, 7652, 1239, 267, 519, 10763, 6165, 540, 7851, 267, 543, 3761, 5832, 2359, 269, 634, 10459, 540, 1344, 2359, 267, 3375, 6194, 543, 11585, 616, 8268, 538, 519, 1957, 267, 1498, 1152, 547, 519, 6708, 602, 789, 2626, 519, 1382, 2243, 563, 763, 4589, 6542, 602, 2520, 2214, 7652, 1239, 23724, 783, 5314, 6585, 1434, 9153, 585, 9946, 543, 9439, 267, 543, 602, 1942, 9494, 3255, 666, 10836, 689, 513, 15931, 569, 9112, 3308, 4786, 563, 12892, 20480, 281, 18242, 5832, 11413, 543, 4227, 5010, 2910, 273, 5434, 616, 4207, 2152, 6849, 2486, 269, 634, 4589, 2503, 602, 606, 2799, 946, 540, 2520, 334, 1606, 6312, 658, 3308, 5314, 676, 3761, 5832, 2359, 19174, 543, 9439, 786, 3142, 2486, 513, 1900, 6251, 547, 5466, 891, 4145, 282, 2104, 2090, 1058, 2263, 713, 563, 1607, 1957, 568, 519, 1101, 540, 922, 2186, 547, 1921, 519, 946, 543, 1871, 540, 2520, 334, 23724, 783, 5314, 540, 18242, 20456, 5004, 2238, 593, 513, 2518, 4336, 1107, 538, 513, 10319, 2013, 24713, 344, 1382, 1935, 563, 21292, 281, 18242, 5832, 2359, 267, 18242, 20456, 19630, 5314, 267, 590, 4338, 700, 636, 4275, 267, 4578, 10439, 5314, 267, 26708, 17825, 267, 20985, 3194, 267, 26285, 3901, 1143, 267, 16140, 539, 7869, 267, 2983, 334, 24058, 1436, 454, 347, 14807, 725, 1475, 5960, 322, 538, 18242, 20456, 5004, 2073, 630, 24836, 9958, 19510, 264, 15937, 19080, 2008, 31871, 540, 3817, 1475, 15704, 347, 0, 1692, 616, 476, 1724, 290, 543, 476, 1428, 301, 1114, 689, 519, 811, 10731, 24745, 476, 1321, 290, 543, 476, 1691, 301, 888, 320, 269, 476, 1724, 290, 543, 476, 1428, 301, 1142, 723, 835, 811, 23377, 982, 476, 1321, 290, 543, 476, 1691, 301, 454, 321, 269, 476, 1724, 290, 543, 476, 1428, 301, 1142, 723, 835, 811, 23442, 982, 476, 1321, 290, 543, 476, 1691, 301, 454, 322, 269, 476, 1724, 290, 543, 476, 1428, 301, 1142, 723, 835, 1447, 23377, 982, 476, 1321, 290, 543, 476, 1691, 301, 454, 323, 269, 476, 1724, 290, 543, 476, 1428, 301, 1142, 723, 835, 1447, 23442, 982, 476, 1321, 290, 543, 476, 1691, 301, 454, 324, 269, 476, 1724, 290, 543, 476, 1428, 301, 1142, 723, 835, 1447, 6475, 982, 476, 1321, 290, 543, 476, 1691, 301, 454, 21761, 18542, 5999, 454, 1432, 3621, 1523, 798, 596, 991, 547, 917, 538, 1931, 547, 4194, 713, 1966, 888, 5978, 21493, 723, 8612, 602, 547, 4194, 713, 1966, 596, 786, 991, 547, 4019, 519, 1772, 582, 8554, 1523, 269, 1411, 666, 2070, 3381, 4245, 547, 1451, 1772, 582, 8554, 269, 2107, 952, 596, 991, 811, 1772, 582, 8554, 2259, 267, 596, 666, 849, 2259, 1772, 582, 8554, 2259, 2042, 563, 1432, 568, 519, 7411, 540, 713, 1966, 888, 5978, 21493, 15951, 519, 7411, 540, 1692, 616, 476, 1724, 290, 543, 476, 1428, 301, 1114, 689, 519, 811, 10731, 24236, 1862, 553, 1970, 7411, 563, 1692, 1279, 1281, 713, 1966, 1491, 547, 4194, 888, 5978, 4274, 10334, 20131, 267, 918, 7159, 14979, 3576, 476, 277, 3764, 543, 476, 1704, 7643, 547, 4194, 713, 1966, 269, 1411, 666, 1246, 741, 3268, 538, 519, 3381, 7778, 1657, 269, 0, 2690, 5756, 267, 2910, 3918, 814, 23647, 519, 946, 540, 14292, 2853, 1759, 593, 519, 2257, 540, 2542, 267, 543, 585, 519, 2956, 540, 7855, 547, 1451, 519, 2257, 540, 2542, 538, 1931, 547, 948, 782, 1453, 1831, 2178, 3988, 269, 1809, 1018, 568, 519, 2257, 540, 2542, 286, 589, 2319, 540, 8639, 267, 1519, 2910, 3918, 779, 12751, 14288, 20229, 267, 3220, 269, 667, 1446, 28732, 267, 814, 1044, 2324, 547, 1020, 513, 3838, 4214, 540, 519, 2257, 540, 2542, 269, 2201, 13723, 267, 5988, 476, 274, 267, 476, 1708, 272, 267, 1282, 634, 7335, 13477, 779, 5993, 15604, 32600, 267, 519, 2319, 786, 5305, 519, 9241, 2813, 4214, 267, 922, 24117, 267, 543, 1683, 7125, 547, 2962, 585, 782, 8639, 563, 763, 5691, 2680, 786, 1665, 519, 4098, 540, 634, 7335, 13477, 779, 968, 16631, 540, 7335, 281, 589, 20223, 28850, 892, 11036, 269, 10801, 519, 1554, 593, 5988, 476, 274, 267, 10529, 786, 1865, 1585, 3344, 540, 519, 2257, 540, 2542, 1519, 12581, 1569, 547, 2542, 6044, 267, 26936, 2259, 547, 519, 2257, 540, 2542, 267, 543, 875, 547, 1847, 3564, 519, 2542, 10617, 269, 3220, 269, 28732, 786, 581, 513, 8470, 626, 1282, 519, 1101, 8400, 540, 519, 32600, 267, 634, 3163, 540, 7335, 267, 513, 20223, 28850, 563, 2171, 4126, 596, 3580, 6443, 721, 693, 713, 8978, 2680, 2336, 16631, 540, 7335, 281, 589, 20223, 28850, 2443, 634, 7335, 13477, 779, 14044, 15604, 32600, 454, 280, 281, 876, 513, 6230, 269, 1107, 476, 276, 281, 876, 533, 6230, 269, 21180, 454, 3849, 3421, 30105, 991, 2178, 2542, 1983, 538, 1931, 547, 4628, 1569, 1543, 268, 19327, 21195, 543, 5965, 585, 1967, 1310, 1164, 1153, 269, 8616, 476, 1789, 260, 540, 1053, 538, 5580, 9344, 1224, 2630, 2596, 563, 1103, 851, 835, 540, 513, 6643, 609, 623, 643, 582, 4804, 267, 27692, 27339, 2443, 2278, 540, 519, 9752, 7335, 11905, 1504, 2443, 8843, 930, 540, 519, 4128, 1946, 2542, 8464, 585, 10708, 723, 8519, 2094, 476, 1001, 276, 543, 2488, 7840, 547, 7855, 585, 2500, 6304, 563, 26589, 609, 519, 3381, 568, 513, 1863, 9133, 6656, 602, 2882, 476, 1015, 7840, 585, 14021, 6304, 602, 1568, 585, 4587, 1053, 267, 2185, 2010, 540, 6304, 602, 1810, 1406, 960, 585, 4587, 1053, 267, 543, 513, 1592, 540, 2542, 6304, 21195, 602, 27692, 15565, 269, 630, 3467, 2507, 994, 16158, 14373, 11261, 1299, 5384, 281, 13723, 267, 5130, 476, 2767, 1923, 476, 275, 281, 876, 1107, 476, 276, 281, 876, 533, 6230, 269, 21180, 3040, 476, 272, 281, 876, 1107, 476, 273, 281, 876, 533, 6230, 269, 25280, 454, 300, 4811, 306, 568, 513, 1239, 12454, 6604, 5943, 602, 3096, 9584, 543, 3356, 5464, 10526, 547, 2697, 543, 1489, 519, 1367, 1565, 2115, 540, 1053, 269, 1809, 875, 666, 631, 4811, 306, 581, 1031, 4481, 547, 2087, 1565, 4093, 538, 6128, 286, 630, 3467, 2507, 994, 18128, 2064, 2861, 2853, 602, 960, 3362, 538, 519, 4928, 666, 581, 513, 4161, 950, 3450, 20716, 269, 623, 643, 582, 4804, 779, 3220, 269, 3933, 3821, 31436, 543, 2910, 3918, 779, 3220, 269, 2961, 4471, 7338, 23894, 1185, 513, 6643, 936, 28652, 609, 3220, 269, 1323, 7534, 1488, 7815, 2443, 2278, 543, 11537, 4116, 540, 3610, 2443, 827, 875, 547, 3082, 8763, 6044, 585, 3845, 1565, 563, 1103, 713, 2185, 12268, 3381, 3126, 267, 3220, 269, 1488, 7815, 912, 306, 3873, 637, 4388, 585, 1210, 3180, 22705, 547, 5000, 3742, 7589, 950, 1053, 616, 2228, 454, 20779, 2970, 919, 875, 669, 7394, 3210, 666, 1869, 581, 1031, 1256, 950, 1053, 5749, 1406, 538, 513, 4928, 1927, 454, 28097, 525, 875, 547, 946, 7649, 6114, 2228, 454, 306, 3873, 637, 2241, 2081, 547, 7794, 7554, 609, 1053, 1247, 2502, 538, 8763, 6044, 12303, 454, 13981, 547, 1224, 543, 3384, 607, 513, 5467, 568, 811, 7294, 538, 513, 1893, 596, 616, 8195, 1565, 547, 3717, 543, 1174, 982, 538, 513, 1893, 596, 2907, 917, 1134, 30375, 269, 901, 568, 835, 540, 519, 1034, 1713, 2591, 5185, 676, 6634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15933, 538, 20616, 543, 8549, 3013, 630, 11386, 26496, 994, 763, 1967, 540, 519, 1007, 17260, 538, 1018, 568, 1631, 519, 2136, 2276, 31030, 593, 1426, 269, 901, 1433, 6645, 827, 519, 29667, 344, 602, 729, 1934, 543, 875, 17417, 585, 3022, 513, 2486, 543, 2528, 267, 4098, 609, 948, 689, 519, 12075, 543, 5555, 6220, 7506, 689, 3979, 10437, 269, 1358, 2919, 6237, 1426, 6208, 609, 519, 1426, 789, 4547, 609, 873, 267, 1018, 789, 1336, 1934, 267, 543, 1018, 789, 21775, 585, 782, 1472, 519, 8608, 269, 4256, 3232, 1272, 568, 25139, 998, 11673, 540, 519, 6093, 6980, 267, 14812, 267, 543, 2027, 14026, 267, 607, 1134, 607, 741, 6539, 29353, 267, 5986, 27022, 267, 543, 5986, 2409, 936, 606, 1930, 5873, 628, 269, 22419, 786, 849, 1451, 875, 789, 6854, 2635, 543, 875, 741, 1426, 5079, 10630, 741, 5289, 4978, 269, 901, 9488, 7650, 18129, 547, 3382, 782, 519, 4525, 12306, 1282, 519, 20616, 543, 8549, 269, 898, 849, 11828, 1142, 19366, 1895, 538, 2490, 267, 609, 3007, 849, 2016, 547, 4095, 543, 10553, 7418, 269, 634, 1543, 568, 7533, 585, 772, 2529, 269, 1686, 4441, 538, 1082, 2081, 267, 971, 607, 27283, 519, 11175, 543, 9542, 540, 519, 3864, 13896, 267, 519, 3864, 6560, 585, 1852, 540, 3345, 3013, 267, 1894, 1063, 519, 13896, 689, 1114, 3864, 2477, 267, 543, 2242, 538, 7111, 1977, 2486, 4611, 689, 17260, 563, 1432, 1004, 616, 6031, 910, 3503, 513, 2689, 454, 15933, 19369, 18181, 543, 13648, 338, 454, 3519, 32383, 540, 10791, 543, 12594, 454, 531, 1168, 1161, 2549, 20782, 3244, 332, 976, 2831, 13212, 19323, 10365, 14132, 14420, 20892, 23017, 3694, 14254, 7423, 22648, 25394, 1572, 10491, 12418, 932, 770, 749, 5060, 10381, 27991, 1901, 820, 524, 3187, 20616, 3013, 20616, 543, 8549, 21152, 3434, 9248, 3434, 2044, 5986, 8970, 8970, 22596, 2732, 8286, 6469, 5213, 1188, 12015, 10656, 2038, 13881, 4189, 5798, 22733, 2540, 4789, 2296, 3964, 3864, 3885, 3595, 3595, 2897, 3165, 8419, 7912, 1426, 1811, 3943, 4195, 5613, 8425, 787, 4436, 10286, 18683, 8057, 670, 20087, 3794, 21692, 5873, 628, 8361, 654, 534, 8124, 17104, 10820, 16865, 4095, 17833, 332, 10051, 2244, 2663, 26795, 11831, 731, 7594, 5779, 6792, 5144, 4573, 2023, 7111, 4892, 562, 4869, 600, 531, 3345, 3345, 10491, 14089, 27081, 1662, 17112, 4584, 1194, 24914, 12630, 1773, 574, 1054, 7233, 566, 20230, 12277, 16738, 12873, 30077, 902, 6802, 9469, 10346, 3148, 7573, 28777, 681, 636, 5112, 3595, 2897, 6070, 14036, 4005, 6039, 12306, 11175, 13896, 27867, 10437, 3006, 3162, 25763, 5053, 5053, 20616, 14546, 23601, 12403, 539, 4006, 6653, 12475, 25022, 14612, 2356, 5388, 16693, 9098, 14547, 10568, 3552, 1426, 9174, 0, 347, 8802, 542, 1475, 4517, 16120, 11866, 282, 18135, 697, 6816, 8198, 347, 15761, 3307, 1475, 1015, 610, 7864, 10529, 1336, 538, 476, 1220, 277, 630, 288, 6277, 328, 476, 1220, 277, 1040, 476, 279, 1700, 1015, 540, 2698, 2551, 540, 476, 7871, 2043, 593, 26463, 6816, 269, 11406, 763, 10658, 857, 330, 8705, 1893, 267, 589, 6261, 18676, 330, 8705, 267, 568, 606, 17255, 1893, 540, 519, 1656, 16120, 11866, 267, 3127, 267, 19497, 9275, 676, 519, 10658, 857, 330, 8705, 1004, 593, 519, 5045, 5032, 540, 5664, 1656, 16120, 267, 519, 22583, 5032, 540, 3162, 1656, 16120, 267, 543, 593, 4446, 520, 836, 6816, 269, 898, 20705, 547, 519, 4279, 1656, 16120, 3150, 1920, 563, 2026, 519, 3935, 5314, 543, 11175, 1184, 540, 519, 1656, 16120, 11866, 14556, 1881, 689, 519, 3735, 476, 866, 628, 2540, 543, 883, 519, 476, 736, 628, 2540, 267, 519, 6805, 4279, 1656, 16120, 3150, 2516, 941, 7494, 4389, 538, 1297, 543, 2968, 9813, 730, 689, 741, 2757, 11182, 269, 634, 1906, 17005, 4279, 1656, 16120, 3150, 4166, 4503, 519, 2686, 543, 10409, 21441, 1851, 873, 602, 941, 1459, 693, 519, 12614, 540, 519, 476, 866, 628, 2540, 267, 950, 693, 2547, 4557, 3982, 17174, 543, 10409, 2516, 941, 6592, 269, 1306, 513, 1893, 543, 607, 513, 3982, 3961, 267, 589, 6261, 3089, 328, 8705, 543, 519, 824, 2516, 5747, 856, 538, 519, 2038, 476, 736, 628, 2540, 563, 763, 4279, 1656, 16120, 3150, 4654, 616, 4903, 331, 583, 514, 894, 4654, 267, 609, 606, 3573, 18772, 543, 21879, 1062, 269, 25334, 4601, 741, 1034, 10058, 8984, 568, 513, 10902, 1362, 1062, 1759, 7361, 593, 1560, 2694, 267, 538, 799, 1169, 10902, 543, 18781, 949, 1491, 513, 18772, 2687, 547, 799, 1560, 851, 621, 568, 2404, 609, 630, 517, 519, 4493, 540, 3337, 267, 610, 6198, 7681, 1040, 4935, 267, 585, 3236, 267, 519, 2608, 10440, 268, 693, 519, 4098, 540, 519, 1893, 4408, 568, 513, 18772, 585, 3615, 1644, 547, 519, 11469, 269, 1323, 740, 915, 2526, 1383, 666, 581, 2016, 676, 519, 1585, 3029, 540, 586, 641, 267, 834, 680, 4192, 267, 2571, 2580, 538, 589, 6390, 5174, 20660, 912, 268, 589, 31289, 610, 26703, 568, 17333, 3917, 641, 834, 1037, 268, 7809, 2580, 689, 519, 18772, 7923, 547, 1913, 11341, 547, 519, 2212, 610, 2295, 563, 268, 589, 29647, 568, 3331, 368, 1729, 3917, 641, 267, 834, 680, 4192, 2580, 689, 513, 18772, 585, 1279, 1919, 563, 268, 589, 6529, 610, 15513, 568, 513, 6390, 3917, 641, 267, 834, 4812, 539, 2580, 689, 519, 11469, 18772, 563, 268, 589, 15468, 3529, 568, 818, 3917, 641, 267, 834, 8527, 1084, 2580, 689, 519, 18772, 585, 17873, 610, 20005, 1919, 563, 20118, 267, 10874, 328, 268, 978, 320, 834, 16591, 257, 11729, 912, 268, 796, 1532, 25207, 686, 268, 385, 489, 320, 834, 2193, 591, 257, 630, 8518, 3766, 797, 1916, 268, 28075, 1532, 25207, 686, 268, 385, 489, 320, 834, 3333, 17369, 1606, 32484, 257, 630, 5674, 324, 3766, 797, 1916, 268, 513, 6390, 1532, 25207, 686, 268, 385, 489, 320, 834, 16591, 693, 4654, 257, 630, 339, 784, 826, 3766, 797, 8094, 268, 17333, 1532, 25207, 686, 268, 385, 489, 320, 834, 341, 7398, 6681, 257, 630, 3650, 270, 24711, 3766, 797, 994, 763, 18772, 525, 616, 2676, 347, 30004, 810, 630, 29019, 518, 547, 695, 1231, 10534, 629, 268, 1475, 629, 268, 1475, 629, 268, 1475, 320, 268, 1475, 334, 268, 2008, 763, 2596, 21770, 616, 3592, 9838, 2429, 519, 4279, 1656, 16120, 3150, 4654, 282, 589, 6390, 5174, 20660, 786, 4196, 607, 513, 11347, 1383, 630, 25809, 10494, 2016, 538, 741, 2596, 18772, 531, 3029, 2187, 347, 296, 267, 1250, 1475, 323, 268, 1475, 933, 267, 938, 1475, 332, 268, 2008, 347, 628, 537, 267, 16815, 1475, 385, 489, 268, 1475, 9767, 267, 707, 1475, 385, 489, 268, 2008, 347, 515, 267, 1010, 267, 1352, 267, 1200, 267, 621, 267, 922, 1475, 320, 1475, 16269, 267, 741, 1475, 331, 268, 2008, 31415, 20130, 262, 543, 1412, 7474, 262, 616, 13747, 607, 737, 268, 543, 512, 268, 563, 268, 20918, 327, 4752, 267, 1530, 30807, 1014, 282, 30623, 541, 1598, 7238, 332, 267, 4498, 12245, 282, 674, 1251, 601, 267, 7917, 282, 670, 5684, 601, 4118, 267, 9410, 267, 32308, 269, 630, 1001, 274, 1040, 834, 288, 6261, 18676, 330, 8705, 2668, 3794, 2714, 860, 476, 273, 269, 273, 269, 2274, 760, 345, 580, 281, 7665, 23851, 4659, 585, 12472, 776, 28668, 563, 268, 13527, 267, 9400, 595, 269, 630, 5002, 273, 1040, 589, 18049, 540, 519, 1656, 16120, 3150, 19932, 267, 1373, 3848, 10001, 540, 3487, 594, 540, 519, 17227, 7797, 593, 519, 1656, 16120, 543, 12832, 984, 541, 11866, 269, 8111, 23734, 550, 781, 24614, 4964, 281, 5800, 2349, 1515, 563, 347, 1607, 1893, 5829, 2376, 568, 513, 20839, 269, 1411, 666, 948, 9504, 676, 9750, 621, 269, 347, 0, 1607, 2376, 949, 581, 9450, 609, 1257, 12261, 689, 519, 7222, 2376, 538, 519, 5053, 9504, 269, 630, 20606, 476, 1001, 272, 994, 12812, 1496, 19651, 316, 593, 519, 1318, 547, 1224, 1271, 5528, 1354, 24758, 563, 8698, 513, 3684, 20675, 3836, 4528, 540, 519, 5053, 2376, 563, 11386, 781, 3684, 8144, 568, 513, 3730, 4358, 1448, 585, 16627, 267, 855, 6037, 2209, 1590, 23590, 6959, 607, 2556, 543, 6166, 602, 519, 8144, 568, 4977, 267, 2864, 982, 3274, 5299, 1790, 8463, 3684, 20675, 3836, 1257, 883, 519, 2296, 9504, 563, 2710, 711, 14377, 1257, 602, 5526, 31877, 610, 1970, 7779, 269, 1403, 2009, 267, 13182, 519, 1257, 609, 8100, 3177, 538, 519, 4914, 25082, 2376, 563, 763, 9576, 24135, 12960, 31543, 630, 28049, 281, 7464, 674, 5451, 321, 878, 320, 632, 24135, 1182, 632, 13244, 645, 5451, 337, 321, 4673, 264, 568, 513, 5663, 2030, 4092, 538, 28925, 267, 8050, 267, 799, 729, 8547, 538, 476, 15094, 271, 563, 763, 12051, 729, 8547, 676, 17722, 966, 1310, 8050, 4503, 922, 32068, 11182, 267, 543, 741, 13795, 11925, 267, 607, 513, 1267, 540, 519, 13458, 540, 7780, 516, 19816, 269, 634, 1788, 729, 835, 540, 513, 1297, 540, 24271, 656, 559, 626, 7341, 17298, 538, 519, 22733, 2540, 538, 519, 28925, 1858, 547, 3761, 17195, 5370, 269, 634, 12051, 267, 799, 814, 13026, 922, 1459, 3135, 2094, 519, 13524, 2540, 267, 1869, 7472, 2757, 7148, 652, 1845, 543, 15790, 1115, 269, 634, 13524, 2540, 2679, 568, 3294, 568, 540, 3140, 1719, 269, 898, 729, 10294, 645, 1329, 632, 3955, 15530, 8836, 538, 476, 1220, 277, 269, 0, 20597, 760, 547, 6301, 12474, 454, 2304, 5499, 21753, 1505, 547, 3132, 513, 17560, 5387, 13961, 610, 13961, 302, 273, 2627, 676, 14139, 606, 21288, 11956, 16617, 630, 8150, 302, 264, 1505, 543, 19535, 9357, 11237, 630, 6020, 292, 264, 1696, 577, 540, 631, 32209, 1184, 568, 4843, 269, 1677, 3986, 8417, 543, 2569, 519, 15392, 7516, 540, 513, 3154, 9300, 267, 513, 17560, 5387, 2627, 540, 3154, 25259, 1570, 568, 9053, 269, 901, 1362, 540, 9300, 3457, 666, 581, 8045, 593, 13339, 610, 13339, 6823, 15564, 15975, 630, 12569, 296, 264, 26828, 602, 4183, 513, 6094, 9245, 540, 2890, 3620, 582, 30066, 2497, 609, 2890, 13463, 11596, 543, 22809, 267, 543, 7500, 607, 2447, 2803, 626, 633, 3457, 29959, 676, 18328, 5308, 3044, 1184, 269, 9861, 1114, 689, 6671, 595, 13748, 1184, 267, 623, 13748, 2861, 23621, 302, 273, 6094, 8874, 616, 6964, 607, 3742, 6106, 543, 20024, 5196, 519, 21191, 302, 1922, 5419, 730, 13339, 8166, 24338, 2627, 269, 769, 713, 1957, 606, 7471, 1184, 547, 5958, 622, 519, 9300, 2497, 543, 23621, 302, 273, 6094, 4670, 18254, 616, 2919, 267, 543, 3102, 3154, 4255, 849, 6542, 3811, 2164, 538, 1732, 8417, 543, 5488, 3210, 942, 1447, 982, 476, 273, 1295, 1369, 476, 6110, 271, 349, 7785, 271, 28327, 540, 5135, 269, 4635, 3209, 21191, 302, 1184, 547, 5958, 622, 17560, 5387, 3154, 8596, 711, 1152, 6971, 519, 6988, 540, 6671, 2627, 533, 2610, 1184, 267, 855, 849, 10597, 3210, 2773, 540, 3154, 25259, 6094, 8874, 267, 12607, 3151, 513, 1360, 9621, 1505, 547, 3132, 17560, 5387, 3154, 8596, 538, 513, 1942, 15807, 1259, 269, 0, 32056, 1882, 689, 2038, 10553, 2053, 950, 3109, 1004, 1131, 2097, 856, 693, 3781, 543, 2206, 10553, 8964, 896, 519, 7599, 2775, 899, 524, 4459, 1115, 563, 20756, 256, 25381, 7585, 543, 808, 13238, 267, 10544, 519, 8929, 326, 12584, 519, 2481, 333, 7599, 524, 4459, 1115, 616, 29400, 689, 519, 24873, 454, 303, 528, 562, 529, 701, 476, 6734, 632, 15567, 1470, 632, 476, 1220, 276, 454, 3066, 811, 8847, 454, 288, 4759, 540, 519, 7192, 549, 1417, 878, 30373, 563, 296, 729, 4503, 538, 519, 4158, 267, 9939, 1176, 519, 4522, 540, 602, 7599, 25319, 4951, 803, 519, 1259, 563, 303, 528, 14161, 7754, 345, 1090, 12789, 269, 476, 2767, 632, 949, 334, 632, 476, 1220, 275, 454, 32056, 1882, 689, 519, 2262, 9855, 543, 595, 19897, 269, 1323, 3979, 1977, 22503, 945, 1152, 13526, 619, 547, 2097, 856, 543, 1124, 531, 1125, 1282, 519, 10543, 3108, 563, 4537, 527, 267, 594, 993, 711, 2469, 1524, 602, 8265, 267, 972, 616, 535, 31902, 9855, 595, 4459, 1115, 10876, 563, 303, 528, 32402, 548, 307, 1080, 476, 4962, 632, 949, 334, 632, 476, 1220, 275, 454, 24055, 1793, 584, 585, 606, 19052, 7819, 5256, 563, 17829, 2481, 333, 7599, 524, 4459, 1115, 1404, 789, 2811, 2575, 782, 998, 519, 3781, 2336, 303, 528, 3627, 1975, 584, 6674, 476, 2764, 632, 2261, 15605, 632, 476, 1220, 276, 454, 5825, 539, 607, 513, 3541, 698, 2218, 2165, 585, 513, 3109, 1268, 269, 5381, 547, 11188, 577, 24564, 267, 562, 580, 3455, 267, 610, 1071, 517, 563, 5278, 7599, 25319, 1590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]