Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
sequencelengths
1
2.05k
attention_mask
sequencelengths
1
2.05k
[ 912, 263, 274, 264, 561, 273, 30548, 561, 275, 616, 13902, 338, 692, 1321, 269, 589, 2786, 1899, 814, 3830, 476, 279, 344, 815, 476, 275, 343, 1341, 476, 2641, 269, 6904, 540, 519, 1739, 568, 3020, 454, 263, 272, 264, 634, 9386, 568, 476, 271, 269, 276, 543, 519, 586, 25435, 568, 476, 273, 269, 277, 454, 263, 273, 264, 634, 9386, 568, 476, 276, 543, 519, 18448, 568, 476, 272, 269, 277, 454, 263, 274, 264, 634, 9386, 568, 476, 271, 269, 276, 543, 519, 586, 25435, 568, 476, 272, 269, 277, 454, 263, 275, 264, 634, 9386, 568, 476, 276, 543, 519, 18448, 568, 476, 273, 269, 277, 454, 11405, 912, 263, 272, 264, 634, 9386, 568, 476, 271, 269, 276, 543, 519, 586, 25435, 568, 476, 273, 269, 277, 692, 1724, 269, 1879, 18445, 602, 513, 29105, 568, 513, 25671, 1756, 267, 621, 568, 2556, 547, 1397, 2560, 16414, 7498, 263, 272, 264, 5565, 5011, 616, 6252, 563, 263, 273, 264, 5565, 6252, 543, 1079, 1875, 24733, 5537, 5011, 563, 263, 274, 264, 11534, 5242, 5011, 616, 6252, 563, 263, 275, 264, 2353, 5011, 616, 540, 3160, 3259, 563, 263, 273, 264, 5565, 6252, 543, 1079, 1875, 24733, 5537, 5011, 780, 1691, 269, 1879, 18445, 602, 513, 29105, 568, 513, 25521, 676, 1210, 19527, 596, 1590, 1265, 454, 263, 272, 264, 634, 19527, 540, 1079, 5011, 454, 263, 273, 264, 634, 19527, 540, 1079, 8424, 540, 6587, 5011, 454, 263, 274, 264, 634, 13080, 540, 782, 5011, 454, 263, 275, 264, 5637, 519, 13080, 543, 19527, 540, 1079, 5011, 454, 11405, 912, 263, 273, 264, 634, 19527, 540, 1079, 6292, 540, 6587, 5011, 692, 1428, 269, 630, 273, 267, 476, 272, 264, 568, 519, 1448, 540, 10167, 540, 1079, 3515, 563, 263, 272, 264, 1535, 1107, 586, 1107, 476, 274, 815, 476, 271, 282, 476, 274, 343, 1107, 586, 1107, 476, 278, 815, 476, 271, 454, 263, 273, 264, 1535, 1341, 586, 815, 476, 274, 282, 476, 274, 343, 1341, 586, 815, 476, 278, 454, 263, 274, 264, 476, 274, 343, 1341, 586, 815, 476, 274, 282, 1535, 1341, 586, 815, 476, 278, 454, 263, 275, 264, 1535, 1341, 476, 274, 344, 1107, 476, 274, 815, 476, 271, 282, 1535, 1107, 586, 1107, 476, 278, 815, 476, 271, 454, 263, 273, 264, 1535, 1341, 586, 815, 476, 274, 282, 476, 274, 343, 1341, 586, 815, 476, 278, 454, 295, 842, 912, 27802, 3482, 519, 1871, 540, 1535, 815, 476, 273, 543, 586, 815, 476, 272, 538, 519, 2016, 3830, 563, 263, 272, 264, 2340, 18568, 1535, 1107, 586, 1107, 476, 274, 815, 476, 271, 454, 273, 1107, 476, 272, 1107, 476, 274, 815, 476, 271, 454, 273, 1107, 476, 275, 815, 476, 271, 454, 1700, 476, 273, 9881, 510, 476, 271, 454, 2254, 3020, 692, 274, 343, 1107, 586, 1107, 476, 278, 815, 476, 271, 454, 274, 263, 273, 264, 1107, 476, 272, 1107, 476, 278, 815, 476, 271, 454, 277, 1107, 476, 279, 815, 476, 271, 454, 268, 273, 9881, 510, 476, 271, 454, 2254, 3020, 692, 263, 273, 264, 2340, 18568, 1535, 1341, 586, 815, 476, 274, 454, 273, 1341, 476, 272, 815, 476, 274, 454, 274, 815, 476, 274, 454, 12148, 692, 274, 343, 1341, 586, 815, 476, 278, 454, 274, 263, 273, 264, 1341, 476, 272, 815, 476, 278, 454, 277, 1341, 476, 272, 815, 476, 278, 454, 278, 815, 476, 278, 454, 12148, 454, 30043, 630, 273, 267, 476, 272, 264, 568, 519, 1448, 540, 10167, 692, 263, 274, 264, 2340, 18568, 476, 274, 343, 1341, 586, 815, 476, 274, 454, 274, 263, 273, 264, 1341, 476, 272, 815, 476, 274, 454, 277, 1341, 476, 272, 815, 476, 274, 454, 278, 815, 476, 274, 454, 2254, 3020, 692, 343, 1341, 586, 815, 476, 278, 454, 273, 1341, 476, 272, 815, 476, 278, 454, 274, 815, 476, 278, 454, 2254, 3020, 692, 263, 275, 264, 2340, 18568, 1535, 1341, 476, 274, 344, 1107, 476, 274, 815, 476, 271, 454, 273, 1341, 476, 274, 1107, 476, 274, 815, 476, 271, 454, 276, 1107, 476, 274, 815, 476, 271, 454, 273, 9881, 510, 476, 271, 454, 2254, 3020, 692, 343, 1107, 586, 1107, 476, 278, 815, 476, 271, 454, 273, 1107, 476, 272, 1107, 476, 278, 815, 476, 271, 454, 273, 1107, 476, 279, 815, 476, 271, 454, 268, 277, 9881, 510, 476, 271, 454, 2254, 3020, 692, 2971, 11644, 476, 276, 692, 272, 269, 623, 304, 11965, 568, 513, 13551, 4646, 676, 11836, 519, 2798, 623, 8987, 272, 267, 910, 272, 1070, 1627, 8987, 272, 267, 476, 275, 1070, 681, 263, 276, 267, 476, 275, 264, 543, 590, 263, 276, 267, 910, 272, 1040, 589, 267, 645, 267, 595, 267, 543, 667, 616, 519, 4571, 15304, 338, 540, 623, 304, 267, 30040, 267, 19954, 267, 543, 9501, 6606, 269, 1772, 519, 29105, 13235, 291, 513, 4009, 267, 513, 13551, 267, 610, 513, 32077, 639, 286, 3807, 1518, 707, 2626, 563, 11405, 912, 288, 267, 645, 267, 595, 267, 543, 667, 616, 4571, 9557, 540, 623, 304, 267, 30040, 267, 19954, 1299, 9501, 6606, 780, 30043, 9474, 543, 7460, 616, 711, 13902, 454, 22382, 13235, 291, 568, 32077, 639, 607, 32377, 616, 13902, 543, 5011, 616, 711, 13902, 780, 273, 269, 634, 1858, 540, 513, 6906, 568, 476, 276, 13483, 269, 4559, 269, 5565, 540, 922, 14622, 616, 630, 273, 267, 476, 272, 264, 543, 630, 274, 267, 910, 273, 1040, 634, 3791, 7638, 23753, 568, 630, 343, 267, 586, 264, 1141, 586, 815, 1535, 1341, 476, 274, 1547, 4855, 519, 10974, 540, 519, 3791, 14584, 563, 11405, 912, 22704, 540, 6906, 4646, 676, 2798, 630, 343, 272, 267, 586, 272, 1070, 692, 274, 269, 4855, 519, 1858, 540, 513, 6906, 4646, 676, 519, 3515, 476, 274, 343, 1341, 586, 1107, 476, 273, 815, 476, 271, 267, 476, 276, 343, 1341, 476, 273, 344, 1107, 476, 274, 815, 476, 271, 543, 476, 273, 343, 1107, 586, 1107, 476, 274, 815, 476, 271, 454, 11405, 1384, 275, 269, 1403, 14622, 540, 513, 29105, 616, 693, 589, 8987, 276, 267, 476, 278, 1070, 645, 8987, 275, 267, 737, 264, 2073, 595, 8987, 272, 267, 910, 277, 264, 543, 667, 263, 275, 267, 476, 276, 264, 543, 922, 1858, 568, 454, 7761, 13483, 26509, 1080, 269, 4855, 519, 1871, 540, 737, 563, 11405, 1384, 276, 269, 9453, 1210, 519, 3845, 4542, 267, 1397, 602, 519, 2798, 11196, 273, 267, 910, 272, 1070, 630, 275, 267, 476, 271, 1070, 630, 274, 267, 476, 274, 264, 543, 11196, 274, 267, 476, 273, 264, 616, 14622, 540, 513, 25521, 563, 11405, 1384, 763, 9386, 540, 9474, 815, 32437, 540, 7131, 454, 763, 9386, 540, 7460, 815, 32437, 540, 21096, 454, 17798, 13235, 291, 3029, 513, 25521, 780, 277, 269, 4855, 519, 4834, 540, 519, 3515, 267, 4171, 2040, 543, 1587, 540, 18448, 338, 616, 476, 272, 543, 910, 277, 6606, 563, 4131, 519, 18448, 338, 581, 1535, 272, 267, 586, 272, 1109, 27920, 1947, 692, 278, 269, 634, 8227, 540, 513, 5144, 4558, 9060, 602, 267, 646, 666, 6133, 476, 280, 3199, 30184, 540, 5144, 1142, 3018, 693, 19238, 373, 476, 1691, 15828, 527, 516, 543, 476, 14338, 271, 30184, 540, 5144, 1142, 3018, 693, 19238, 373, 476, 1626, 1396, 516, 269, 32114, 513, 5276, 2078, 454, 24992, 9513, 3902, 543, 3747, 267, 875, 1082, 30184, 1223, 646, 6133, 12353, 693, 19238, 373, 476, 1704, 15828, 527, 516, 888, 11405, 1384, 279, 269, 4855, 519, 3239, 540, 519, 1448, 630, 274, 267, 476, 279, 264, 609, 2463, 547, 519, 1899, 1535, 1341, 476, 274, 344, 815, 476, 278, 14322, 519, 1899, 547, 581, 513, 7077, 11604, 563, 11405, 1384, 280, 269, 4855, 519, 3830, 540, 513, 1899, 8429, 998, 519, 1448, 540, 10167, 540, 519, 3515, 476, 275, 343, 1341, 476, 278, 344, 1107, 476, 274, 815, 476, 271, 543, 476, 273, 343, 1107, 476, 274, 344, 1341, 476, 272, 815, 476, 271, 602, 814, 3160, 18448, 338, 593, 519, 17887, 563, 11405, 912, 275, 343, 1341, 476, 278, 344, 1107, 476, 274, 815, 476, 271, 454, 273, 343, 1107, 476, 274, 344, 1341, 476, 272, 815, 476, 271, 454, 275, 343, 1341, 476, 278, 344, 1107, 476, 274, 1107, 476, 273, 263, 273, 343, 1107, 476, 274, 344, 1341, 476, 272, 264, 815, 476, 271, 692, 1015, 269, 589, 1268, 7555, 693, 513, 22882, 630, 29589, 532, 264, 540, 1079, 2786, 10092, 6719, 676, 519, 4834, 476, 273, 343, 1107, 476, 274, 344, 1341, 476, 275, 815, 476, 271, 543, 476, 274, 343, 1341, 476, 275, 344, 1107, 476, 276, 815, 476, 271, 3343, 547, 3914, 519, 2619, 4171, 3830, 568, 476, 277, 343, 1107, 476, 278, 344, 1341, 476, 279, 815, 476, 271, 538, 519, 2547, 942, 269, 4855, 519, 3830, 540, 519, 2619, 602, 646, 1058, 1246, 563, 11405, 1384, 2162, 4033, 12830, 25103, 585, 476, 1015, 628, 13174, 3883, 7982, 12226, 10298, 1384, 2690, 476, 1015, 628, 13174, 3848, 476, 276, 1433, 1394, 2243, 543, 4267, 267, 2638, 519, 3095, 1107, 6341, 5995, 518, 737, 531, 12858, 476, 1015, 628, 13174, 3848, 476, 276, 3213, 15453, 16387, 692, 12812, 1934, 585, 519, 2347, 6341, 5995, 518, 17833, 12858, 476, 1015, 628, 13174, 3883, 7982, 8827, 6651, 7300, 1107, 476, 1015, 628, 13174, 3883, 7982, 12226, 0, 258, 27387, 281, 6207, 610, 19585, 19427, 692, 272, 269, 12361, 6207, 610, 19585, 19427, 692, 9989, 713, 3126, 27721, 11613, 610, 2783, 958, 912, 7445, 8999, 23214, 333, 284, 272, 11892, 315, 13727, 11196, 272, 8203, 333, 1422, 2765, 23533, 317, 274, 266, 276, 18898, 2410, 263, 333, 266, 273, 25631, 10592, 19370, 630, 272, 2567, 875, 798, 594, 1256, 4019, 519, 20367, 1449, 950, 519, 27313, 13541, 568, 18159, 333, 266, 273, 25631, 259, 888, 19370, 630, 273, 2567, 13071, 8263, 649, 23125, 856, 1966, 630, 272, 264, 799, 1449, 1131, 594, 946, 26063, 547, 1294, 952, 621, 4780, 2471, 11613, 2496, 9989, 713, 3126, 27721, 11613, 610, 2783, 958, 912, 7445, 8999, 23214, 333, 284, 272, 11892, 315, 13727, 11196, 272, 8203, 333, 1422, 3847, 7268, 2765, 346, 272, 7346, 15238, 562, 4153, 2431, 8203, 275, 6911, 306, 14115, 542, 630, 272, 2567, 21411, 713, 942, 267, 519, 3126, 1281, 27721, 676, 20367, 3126, 1449, 2483, 19370, 630, 273, 2567, 6904, 1449, 798, 594, 946, 547, 1294, 952, 621, 4780, 2471, 11613, 286, 594, 6836, 1210, 4086, 1707, 1449, 281, 4399, 15238, 562, 2999, 562, 1422, 16524, 21375, 1422, 2765, 346, 272, 7346, 15238, 562, 348, 285, 315, 2765, 346, 272, 2410, 333, 348, 1422, 16524, 21375, 1422, 2765, 346, 272, 2410, 7268, 15238, 562, 8203, 275, 348, 285, 315, 2765, 346, 272, 2410, 333, 317, 275, 21456, 7445, 2765, 346, 272, 2410, 333, 317, 275, 4151, 4780, 2471, 630, 335, 1606, 7685, 609, 533, 285, 272, 264, 855, 713, 814, 1100, 3932, 593, 2436, 4399, 3847, 7268, 2765, 346, 272, 7346, 15238, 562, 4153, 2431, 8203, 275, 259, 4780, 2471, 610, 711, 780, 1692, 798, 594, 4194, 891, 2243, 26834, 286, 7102, 948, 15874, 2439, 273, 269, 28982, 454, 23192, 17397, 676, 29920, 454, 9989, 713, 3126, 27721, 11613, 610, 2783, 958, 912, 7445, 8999, 23214, 333, 284, 272, 11892, 315, 13727, 11196, 272, 8203, 333, 1422, 2765, 23533, 317, 274, 266, 276, 18898, 2410, 263, 333, 266, 273, 25631, 10592, 19370, 630, 272, 2567, 875, 798, 594, 1256, 4019, 519, 20367, 1449, 950, 519, 27313, 13541, 568, 18159, 333, 266, 273, 25631, 259, 888, 2080, 267, 594, 9364, 8237, 519, 3126, 883, 4399, 8999, 23214, 333, 284, 272, 11892, 315, 13727, 11196, 272, 8203, 333, 1422, 2765, 23533, 317, 274, 2410, 263, 333, 266, 273, 25631, 23180, 8999, 23214, 333, 284, 272, 11892, 315, 13727, 11196, 272, 8203, 333, 1422, 2765, 346, 276, 18898, 2410, 263, 333, 266, 273, 25631, 4151, 543, 1397, 602, 1142, 835, 4780, 2471, 11613, 270, 531, 1181, 2299, 563, 2414, 4019, 519, 20367, 1449, 596, 723, 547, 1397, 267, 585, 1383, 585, 519, 1101, 3126, 267, 602, 18159, 308, 5332, 7751, 11081, 630, 5976, 1269, 308, 5332, 7807, 2765, 23533, 317, 274, 2410, 263, 333, 266, 273, 25631, 4151, 264, 10778, 7445, 2765, 346, 308, 3709, 333, 266, 272, 12453, 308, 5332, 18098, 2765, 346, 1422, 2765, 18950, 333, 266, 272, 8203, 274, 2410, 263, 333, 266, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 332, 1231, 267, 3813, 338, 264, 815, 942, 23952, 21858, 4433, 5902, 614, 994, 476, 1704, 1363, 2132, 9852, 1231, 1341, 1412, 9538, 1341, 3813, 338, 994, 476, 1240, 3097, 476, 866, 1948, 12916, 379, 17958, 29072, 287, 27393, 1399, 32517, 362, 421, 354, 364, 31033, 8147, 21928, 32352, 476, 476, 17958, 16043, 371, 419, 506, 489, 23521, 354, 9008, 274, 3890, 25913, 25622, 16533, 365, 15159, 22047, 31271, 508, 26233, 356, 8147, 19867, 478, 23284, 420, 364, 481, 17958, 28793, 9463, 359, 421, 506, 478, 22614, 365, 375, 14395, 508, 28032, 489, 6745, 641, 274, 13127, 491, 367, 23746, 454, 476, 736, 672, 7711, 27393, 1399, 3097, 476, 2641, 672, 1219, 1283, 274, 4311, 2187, 476, 2420, 1363, 2132, 4433, 9285, 263, 3553, 8443, 1345, 4732, 534, 527, 1125, 6025, 264, 585, 512, 538, 1582, 316, 4297, 314, 271, 281, 274, 7481, 476, 2537, 3097, 476, 2190, 672, 7711, 27393, 1399, 454, 476, 1839, 672, 1219, 2973, 12774, 4311, 2187, 476, 2918, 1363, 2132, 4433, 9285, 263, 3553, 8443, 1345, 4732, 534, 527, 1125, 6025, 264, 585, 512, 538, 1582, 316, 21875, 476, 2767, 3097, 476, 2764, 672, 7711, 27393, 1399, 454, 476, 3066, 672, 1219, 607, 18380, 4311, 2187, 476, 1789, 1363, 2132, 20719, 262, 11243, 9166, 1345, 20508, 2676, 476, 4029, 3546, 1412, 291, 15477, 9166, 1345, 6155, 984, 2676, 476, 3953, 3546, 1412, 12749, 274, 9166, 1345, 6745, 641, 274, 454, 476, 3451, 25639, 7684, 994, 349, 14030, 7386, 454, 21928, 11590, 353, 11590, 496, 418, 357, 350, 19764, 493, 31284, 418, 369, 489, 13644, 499, 16088, 454, 24257, 689, 7619, 601, 626, 1104, 19158, 8541, 8266, 454, 24257, 6622, 815, 19158, 8541, 8266, 3488, 329, 871, 3299, 1412, 1001, 273, 268, 1321, 268, 4029, 3299, 1496, 273, 267, 476, 274, 267, 476, 275, 267, 276, 8079, 14030, 14030, 3546, 454, 24257, 6622, 567, 1948, 30244, 14748, 32352, 7511, 14395, 508, 28032, 489, 23989, 27064, 364, 23523, 501, 418, 505, 368, 417, 481, 493, 22047, 28578, 23989, 17338, 994, 314, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 2639, 24257, 6622, 20508, 567, 1948, 12916, 484, 32352, 7511, 31271, 508, 26233, 356, 13213, 502, 15159, 23746, 23284, 18777, 379, 25426, 362, 28996, 7511, 454, 262, 329, 871, 7055, 24257, 6622, 6155, 984, 454, 262, 1001, 273, 268, 1321, 268, 4029, 7055, 24257, 1826, 263, 987, 994, 283, 5035, 1412, 987, 2280, 601, 626, 6993, 628, 8541, 8266, 262, 285, 7531, 476, 1556, 1357, 5334, 13996, 815, 1412, 10674, 2517, 15094, 269, 1240, 269, 9873, 269, 1626, 281, 3199, 279, 271, 7055, 476, 1321, 1205, 5332, 1868, 6831, 22080, 815, 23367, 322, 22080, 1532, 514, 270, 2102, 4733, 5332, 1868, 18258, 7055, 1948, 30244, 418, 362, 369, 28786, 419, 510, 479, 15159, 1952, 18809, 21928, 13644, 371, 418, 365, 480, 10951, 491, 20693, 350, 417, 503, 357, 419, 360, 363, 7511, 22047, 26406, 354, 9463, 352, 28793, 8147, 454, 476, 1626, 1219, 6494, 15461, 5334, 13996, 263, 14766, 267, 2022, 12774, 22561, 2187, 476, 1704, 672, 952, 2022, 12774, 912, 476, 1240, 1363, 2985, 815, 29250, 13449, 263, 14766, 267, 2712, 6352, 13892, 9638, 739, 12774, 4917, 476, 866, 672, 3116, 912, 476, 736, 1363, 2985, 815, 29250, 13449, 263, 14766, 994, 476, 2641, 672, 2132, 263, 2457, 18667, 14061, 1372, 13892, 3488, 583, 325, 268, 279, 10807, 2020, 258, 30244, 418, 362, 369, 16533, 365, 15159, 1952, 18809, 420, 364, 481, 17958, 31968, 30837, 351, 421, 480, 352, 14748, 16583, 30936, 8147, 23946, 370, 9463, 495, 20881, 479, 29072, 12255, 29004, 362, 454, 476, 2420, 19002, 815, 795, 5459, 269, 2903, 338, 4433, 754, 15461, 5334, 13996, 263, 19986, 5334, 13996, 1341, 1205, 12774, 6831, 22080, 267, 27835, 6518, 318, 987, 8541, 9166, 6518, 318, 987, 8541, 348, 11723, 258, 10951, 491, 20693, 350, 417, 503, 357, 419, 360, 363, 26406, 354, 418, 498, 370, 14035, 482, 419, 494, 484, 454, 476, 2537, 1106, 12774, 815, 524, 22080, 12171, 1752, 1805, 4392, 3890, 825, 1948, 420, 492, 371, 23523, 501, 23989, 22287, 499, 12255, 29004, 362, 454, 476, 2190, 19002, 12173, 815, 1106, 12774, 9131, 6518, 318, 987, 8541, 262, 4940, 7407, 476, 1948, 16533, 365, 23746, 23284, 23523, 501, 28996, 1952, 18809, 17958, 16043, 371, 30536, 16583, 375, 7511, 418, 509, 494, 14748, 20881, 487, 421, 350, 373, 7511, 9463, 500, 29219, 692, 329, 5459, 5399, 912, 24257, 1104, 795, 5459, 454, 24257, 795, 318, 4219, 815, 795, 5459, 6155, 7927, 8443, 272, 269, 2420, 267, 476, 274, 269, 4510, 267, 476, 276, 269, 4649, 267, 1496, 272, 269, 4649, 267, 476, 280, 269, 1015, 316, 8079, 567, 1948, 10254, 505, 417, 375, 374, 22047, 7090, 32352, 417, 508, 489, 7511, 21211, 31033, 4970, 366, 29830, 486, 10951, 361, 454, 24257, 795, 318, 4219, 454, 262, 314, 272, 269, 2420, 267, 476, 274, 269, 4510, 267, 476, 276, 269, 4649, 267, 1496, 272, 269, 4649, 267, 476, 280, 269, 272, 14963, 7055, 24257, 1826, 27203, 318, 4219, 994, 283, 5035, 1412, 1598, 262, 11417, 24257, 795, 318, 5228, 815, 795, 5459, 269, 2903, 338, 27203, 318, 4219, 264, 1038, 1948, 10524, 492, 329, 5459, 21211, 31033, 4970, 366, 28996, 22047, 7090, 32352, 417, 508, 489, 454, 24257, 795, 318, 5228, 454, 314, 272, 269, 2420, 267, 476, 274, 269, 4510, 267, 476, 276, 269, 4649, 267, 1496, 272, 269, 4649, 267, 476, 280, 269, 272, 27663, 24257, 1826, 27203, 318, 5228, 994, 283, 5035, 1412, 4289, 262, 285, 692, 584, 961, 756, 454, 584, 961, 756, 273, 825, 13127, 374, 497, 418, 357, 350, 417, 507, 501, 454, 23746, 23284, 17958, 22047, 31801, 489, 31365, 417, 481, 493, 19986, 10951, 491, 20693, 350, 417, 503, 357, 9463, 495, 20881, 479, 419, 376, 500, 419, 510, 479, 7511, 12255, 29004, 362, 263, 14766, 13449, 19572, 2712, 6352, 13892, 15405, 338, 903, 17276, 357, 350, 417, 507, 501, 418, 493, 494, 28032, 505, 29072, 338, 903, 14714, 19734, 267, 19523, 14714, 323, 719, 267, 19523, 14714, 1457, 337, 27447, 24662, 418, 369, 479, 454, 22322, 657, 418, 357, 350, 417, 507, 501, 18809, 8147, 13213, 506, 31801, 489, 18777, 379, 25426, 362, 28793, 8147, 14030, 14030, 22322, 476, 476, 280, 1039, 337, 815, 15259, 269, 523, 1333, 9131, 3918, 300, 5588, 292, 318, 4696, 11403, 11172, 8931, 476, 1015, 3984, 815, 15259, 269, 523, 1333, 9131, 3918, 300, 5588, 292, 318, 9816, 4306, 23300, 476, 1556, 1505, 815, 15259, 269, 523, 1333, 9131, 3918, 12702, 12239, 318, 300, 24518, 7495, 262, 6540, 12255, 29004, 362, 18021, 497, 338, 27942, 924, 274, 912, 24257, 29798, 815, 23684, 20216, 31146, 2891, 3269, 10345, 22268, 2012, 20978, 9845, 3269, 5602, 24257, 2745, 263, 29798, 8807, 21255, 718, 15405, 258, 13213, 498, 18713, 508, 7511, 12255, 29004, 362, 15159, 16088, 454, 314, 3488, 22832, 10557, 3299, 1070, 18011, 27880, 590, 1048, 5674, 3299, 1070, 18011, 19878, 773, 13643, 3299, 1070, 18011, 300, 833, 344, 5062, 10048, 639, 3299, 264, 6540, 3488, 22832, 10557, 3299, 1412, 1220, 273, 268, 274, 268, 1691, 10807, 567, 1948, 30244, 15159, 13213, 498, 18713, 508, 7511, 29798, 8807, 21255, 821, 3890, 7511, 12255, 29004, 362, 692, 24257, 759, 815, 3403, 3488, 6343, 568, 707, 2085, 281, 30386, 6343, 568, 707, 2085, 281, 476, 2641, 454, 24257, 759, 454, 262, 2641, 7055, 24257, 703, 263, 637, 994, 2641, 7531, 14030, 14030, 14030, 14030, 4449, 8931 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10316, 7068, 616, 782, 827, 256, 589, 16403, 5028, 568, 606, 3662, 1500, 909, 540, 1560, 2694, 689, 824, 3982, 2831, 269, 1280, 3236, 267, 2348, 513, 23820, 781, 2212, 267, 1583, 25871, 781, 2766, 267, 543, 17794, 781, 1560, 269, 2201, 519, 824, 1688, 267, 10316, 7068, 11100, 2934, 540, 1079, 610, 811, 4540, 2249, 780, 4322, 19511, 13144, 1450, 1650, 339, 25527, 543, 5159, 547, 3575, 543, 6474, 4162, 789, 1265, 4277, 610, 11121, 269, 1635, 9256, 7592, 267, 1007, 5759, 8451, 1932, 256, 3807, 1589, 540, 875, 3728, 544, 1069, 320, 1749, 1590, 7669, 1317, 789, 4865, 1312, 1480, 543, 3165, 7907, 269, 1215, 5863, 1131, 621, 581, 547, 2196, 899, 513, 1750, 29609, 2943, 8038, 899, 606, 23914, 2496, 4089, 476, 273, 281, 24531, 28463, 976, 692, 16449, 519, 1034, 4583, 26704, 7068, 616, 667, 6938, 294, 2177, 306, 256, 10705, 13269, 607, 7372, 20641, 7244, 3595, 267, 22645, 2408, 538, 1082, 8941, 5001, 269, 2368, 9856, 16782, 267, 1247, 1866, 21843, 1379, 543, 7326, 269, 1809, 1705, 596, 917, 602, 2038, 11673, 540, 22645, 9867, 7494, 4470, 2390, 1141, 789, 941, 5018, 2496, 2690, 1383, 267, 4457, 22645, 616, 26060, 6698, 540, 9939, 543, 13884, 267, 1419, 3254, 607, 28795, 267, 11419, 995, 267, 543, 13617, 1652, 1583, 335, 757, 5827, 540, 9013, 1216, 543, 4365, 269, 2552, 337, 3320, 267, 3864, 22645, 4043, 547, 1413, 2367, 5217, 543, 12194, 727, 267, 4749, 11609, 607, 1804, 267, 3532, 267, 2185, 6122, 13949, 28749, 24224, 609, 8325, 26389, 543, 10627, 6438, 12209, 269, 5994, 25884, 2901, 835, 1282, 707, 1985, 7045, 2439, 4089, 476, 274, 281, 10289, 4033, 22900, 7304, 601, 730, 932, 574, 10327, 692, 763, 9059, 3085, 1405, 3247, 693, 1175, 2407, 1922, 1194, 3022, 22645, 282, 972, 2291, 7899, 540, 17175, 7648, 256, 3509, 29528, 19467, 3344, 540, 22645, 609, 824, 2831, 267, 4611, 538, 22539, 10659, 1384, 265, 19785, 591, 985, 281, 5565, 6122, 13949, 22645, 609, 3046, 5523, 21217, 3079, 540, 12042, 17873, 269, 5853, 5631, 538, 1200, 12245, 787, 630, 32188, 338, 1031, 538, 25151, 540, 7916, 1070, 530, 344, 591, 985, 1039, 9814, 543, 4222, 563, 265, 19537, 7719, 281, 9540, 518, 14077, 540, 22645, 609, 1100, 2702, 547, 8038, 1813, 547, 15877, 12209, 269, 6056, 540, 873, 607, 3765, 2151, 31773, 15743, 30980, 2713, 1851, 721, 2336, 265, 2549, 12978, 696, 31013, 281, 5395, 335, 20634, 22645, 9280, 609, 905, 9312, 12209, 2864, 982, 2757, 16463, 344, 3283, 269, 2060, 23079, 8151, 689, 4190, 5017, 547, 28869, 344, 17875, 6840, 267, 993, 12978, 696, 31013, 1832, 7045, 3464, 27378, 563, 265, 10281, 571, 281, 11638, 32567, 5259, 20599, 1767, 547, 16956, 4733, 4503, 9843, 14678, 269, 26157, 15743, 10253, 543, 2789, 30380, 2879, 6260, 28182, 2306, 3289, 571, 23773, 17837, 780, 4089, 476, 275, 281, 11300, 6713, 19992, 932, 574, 10327, 543, 28628, 3203, 1740, 692, 9209, 1235, 5373, 16403, 10327, 543, 10316, 7068, 946, 1896, 2409, 547, 3142, 891, 3304, 9317, 7919, 547, 1272, 11617, 269, 17616, 267, 789, 1353, 1142, 5057, 3662, 5402, 267, 1565, 922, 2189, 5322, 267, 4778, 267, 3270, 267, 543, 7215, 269, 3973, 267, 789, 21825, 2824, 799, 2934, 786, 1655, 6655, 519, 5551, 5920, 543, 7209, 540, 519, 3803, 5137, 269, 7053, 267, 9952, 5159, 26595, 6074, 10305, 16900, 267, 4180, 10103, 1063, 19635, 4773, 780, 24292, 5389, 849, 1404, 1713, 5107, 5935, 16403, 10327, 543, 10316, 6272, 269, 15689, 6273, 676, 2199, 18508, 543, 21426, 267, 3140, 2621, 267, 3909, 4978, 267, 543, 1514, 2418, 4734, 9434, 791, 29251, 593, 11247, 269, 1306, 513, 1267, 267, 1169, 4062, 3091, 1350, 31663, 525, 883, 15888, 262, 8186, 267, 5356, 4195, 4030, 827, 10600, 2250, 543, 1459, 780, 3086, 602, 649, 4312, 8268, 519, 13858, 7122, 540, 16403, 10327, 543, 10316, 7068, 267, 2523, 1346, 4448, 547, 22645, 267, 1946, 711, 2119, 13167, 707, 1378, 9589, 1373, 286, 5808, 6487, 267, 6148, 14693, 707, 8798, 3587, 1776, 19644, 10828, 5293, 1524, 998, 5481, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 519, 9589, 1158, 540, 15743, 1148, 267, 972, 568, 606, 5571, 7521, 1063, 17779, 543, 18935, 1436, 269, 3245, 519, 17909, 540, 3504, 14868, 547, 519, 3817, 540, 2413, 14810, 9089, 267, 22645, 723, 9676, 938, 9345, 609, 741, 23836, 4527, 269, 2755, 930, 5159, 11441, 585, 6946, 3877, 543, 26715, 6111, 538, 18995, 891, 26704, 7068, 267, 1866, 1491, 513, 811, 7493, 1935, 267, 10771, 519, 28531, 2609, 540, 15743, 561, 648, 269, 901, 2376, 7710, 519, 17804, 6163, 540, 17779, 543, 18935, 1436, 538, 15743, 1148, 267, 18167, 883, 519, 2553, 267, 4943, 725, 267, 543, 2686, 7506, 602, 3337, 519, 1259, 891, 15999, 7068, 616, 4547, 547, 1272, 593, 17198, 543, 538, 938, 4337, 5209, 269, 6787, 596, 616, 606, 1148, 27423, 19832, 676, 519, 1158, 540, 22645, 610, 3274, 513, 15743, 23507, 337, 3168, 547, 1451, 811, 827, 519, 3860, 3157, 3297, 741, 24575, 267, 713, 3408, 14767, 547, 581, 513, 9159, 3460, 883, 519, 7706, 540, 15743, 1148, 563, 11771, 1231, 540, 22900, 3733, 2195, 454, 291, 4048, 976, 723, 1279, 1044, 513, 1309, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2419, 574, 5028, 1299, 28628, 6282, 999, 257, 607, 851, 540, 834, 16300, 16337, 1315, 12292, 1315, 28463, 976, 267, 1133, 545, 27163, 1299, 19088, 673, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 1530, 15247, 19938, 256, 901, 1522, 3280, 899, 513, 7294, 1641, 267, 855, 621, 781, 2965, 827, 4180, 602, 1004, 1404, 4023, 950, 789, 1902, 741, 2724, 538, 4213, 269, 5994, 596, 723, 930, 9806, 267, 543, 596, 1616, 547, 948, 707, 5172, 29221, 2044, 4228, 676, 10115, 538, 741, 2754, 269, 1215, 666, 596, 581, 2386, 602, 519, 536, 5474, 786, 946, 707, 2724, 20617, 543, 25473, 286, 2334, 781, 1141, 19736, 7939, 2501, 883, 1404, 2439, 4131, 781, 1376, 609, 1620, 1018, 834, 572, 15247, 257, 1611, 269, 1879, 2576, 3081, 834, 572, 15247, 2437, 789, 2811, 6158, 827, 1919, 899, 13632, 630, 1144, 11429, 8843, 538, 513, 2754, 1070, 7554, 630, 5979, 753, 1500, 547, 3549, 610, 6608, 1070, 543, 8994, 7482, 630, 320, 3575, 540, 1114, 9541, 1040, 4658, 4444, 891, 15691, 602, 741, 1871, 786, 2333, 936, 942, 267, 3850, 873, 547, 7118, 12434, 780, 3086, 267, 4952, 952, 972, 941, 1100, 3652, 12044, 875, 3549, 6133, 891, 19736, 269, 2368, 14229, 21294, 11570, 1522, 2119, 547, 8945, 9520, 609, 22801, 1344, 610, 1256, 12404, 1271, 3877, 256, 1677, 2061, 971, 31081, 652, 2853, 267, 2477, 1711, 4031, 1572, 834, 572, 15247, 6042, 1701, 1452, 3652, 2327, 602, 3025, 3238, 31136, 31719, 543, 12001, 569, 780, 2080, 616, 1614, 1883, 2035, 538, 19736, 7939, 1384, 272, 269, 2878, 11514, 26918, 5093, 14992, 1590, 2671, 2347, 543, 4977, 1344, 827, 2933, 267, 1519, 2883, 1072, 267, 1870, 2994, 267, 543, 1761, 4220, 269, 6056, 540, 713, 607, 10213, 5561, 3388, 789, 991, 547, 917, 1354, 9140, 513, 1587, 1107, 1152, 1934, 267, 519, 834, 28237, 257, 568, 513, 4062, 540, 513, 2754, 2439, 273, 269, 2878, 8802, 626, 1674, 5093, 6969, 9513, 19736, 267, 1082, 3549, 1590, 11578, 609, 513, 2229, 8116, 3743, 585, 30191, 3354, 4031, 269, 1635, 3257, 865, 267, 789, 3858, 547, 1246, 782, 10858, 6042, 543, 1832, 9520, 5483, 269, 21362, 1229, 3549, 849, 10929, 2834, 2638, 5725, 547, 2226, 3972, 10290, 1465, 780, 274, 269, 2878, 12901, 328, 1922, 571, 644, 3800, 5093, 16572, 10238, 527, 30081, 2238, 267, 971, 607, 14084, 547, 610, 13587, 1516, 9520, 269, 1403, 4896, 9397, 891, 3652, 267, 789, 1223, 3068, 4049, 20507, 899, 22717, 610, 21569, 942, 269, 14640, 1922, 571, 644, 3800, 2149, 17608, 9520, 945, 949, 6382, 2887, 6408, 547, 1085, 4461, 780, 2414, 9414, 1946, 19736, 7939, 6927, 267, 2015, 713, 1383, 281, 14597, 1079, 2828, 267, 5981, 543, 16092, 267, 1142, 6427, 513, 1007, 1826, 540, 14614, 269, 19196, 1243, 827, 741, 13144, 267, 789, 6430, 547, 3343, 9520, 269, 9453, 1022, 6042, 267, 5981, 5932, 1166, 553, 1506, 18537, 9621, 5458, 7024, 1247, 15720, 2629, 5013, 827, 2504, 3790, 543, 2344, 3747, 269, 11531, 267, 16092, 2488, 9237, 12607, 17007, 827, 1200, 1587, 781, 9342, 543, 12755, 269, 2871, 612, 4171, 4235, 786, 4482, 811, 6325, 9520, 286, 1411, 3893, 621, 1107, 16092, 781, 2439, 6546, 781, 1946, 2348, 2312, 3652, 2337, 6536, 3972, 1063, 3549, 543, 9520, 269, 1924, 1985, 942, 596, 5873, 827, 13632, 610, 7554, 267, 3314, 602, 3297, 1346, 2474, 6013, 513, 1062, 2966, 547, 3895, 14619, 543, 11413, 269, 1656, 1631, 267, 596, 4312, 1831, 513, 21738, 4274, 593, 19736, 7939, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24154, 2738, 946, 938, 1543, 12454, 3435, 547, 1628, 741, 6455, 910, 3728, 2336, 3603, 476, 276, 6801, 676, 938, 7218, 454, 2690, 519, 1101, 942, 267, 649, 786, 6108, 811, 942, 1210, 519, 4950, 982, 8384, 8613, 563, 10144, 616, 10438, 811, 1543, 982, 2479, 1354, 855, 3257, 865, 693, 513, 942, 950, 7957, 2227, 321, 1006, 2509, 10229, 814, 2760, 1044, 8338, 563, 2108, 5445, 2461, 2141, 811, 982, 6126, 547, 979, 1657, 543, 3564, 547, 5397, 1390, 2298, 5012, 693, 4320, 799, 568, 15266, 547, 519, 1702, 543, 1995, 519, 2319, 814, 269, 898, 779, 1044, 1390, 547, 960, 609, 873, 3034, 2108, 15759, 31772, 267, 1347, 1143, 320, 267, 3375, 1818, 267, 11056, 267, 2792, 543, 1034, 11932, 2319, 16882, 269, 898, 729, 606, 8956, 547, 12840, 543, 1451, 689, 519, 2319, 693, 19405, 5565, 3034, 2108, 2750, 3250, 550, 2792, 267, 21184, 2093, 543, 16950, 1652, 11056, 1683, 513, 5963, 6909, 1995, 4799, 2108, 5445, 2811, 2111, 547, 6330, 519, 1950, 543, 1419, 538, 17739, 1043, 1158, 540, 6976, 2923, 609, 8897, 543, 11413, 269, 1358, 2811, 513, 5491, 547, 519, 13437, 16373, 2872, 543, 2709, 513, 1164, 7900, 267, 24253, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20376, 20914, 19938, 257, 607, 851, 540, 834, 30311, 1315, 6355, 1299, 11038, 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, 3408, 540, 14941, 543, 18369, 2575, 256, 901, 9135, 568, 835, 851, 540, 513, 3677, 1920, 3529, 540, 5907, 2575, 602, 7153, 538, 519, 3735, 476, 736, 628, 2540, 269, 2913, 781, 4685, 1318, 538, 543, 3605, 1018, 2306, 14941, 543, 18369, 865, 2189, 543, 9159, 2439, 5331, 3054, 6947, 547, 513, 5152, 1141, 3728, 2736, 2041, 1846, 2743, 24421, 532, 1016, 1532, 817, 6050, 269, 1411, 666, 5873, 6946, 23964, 22805, 2429, 519, 4992, 3874, 1247, 2656, 2914, 26860, 986, 13827, 5838, 741, 30053, 29691, 713, 17615, 5748, 269, 5556, 17894, 910, 596, 616, 1631, 7680, 519, 13858, 1158, 540, 14941, 543, 18369, 2439, 291, 5300, 543, 18369, 12090, 538, 519, 2136, 8003, 1282, 519, 2038, 1412, 3445, 338, 269, 1306, 29382, 338, 4603, 539, 609, 1114, 4992, 543, 2553, 267, 789, 3323, 5248, 908, 543, 3432, 532, 909, 519, 11733, 6810, 540, 1585, 13475, 269, 1452, 1007, 13144, 2968, 1634, 607, 834, 329, 21819, 2437, 799, 5555, 7960, 883, 14941, 543, 18369, 950, 12696, 17146, 1445, 2509, 1950, 14941, 3270, 543, 2620, 18369, 6050, 780, 3086, 1577, 781, 2911, 827, 930, 1883, 2609, 540, 14941, 543, 18369, 2575, 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 ]
[ 0, 1692, 6496, 9046, 9010, 6396, 18748, 4841, 685, 8682, 21873, 543, 19556, 4197, 888, 13775, 281, 476, 4029, 5147, 476, 1708, 271, 454, 5715, 2158, 1014, 4750, 540, 3163, 543, 9119, 4065, 2073, 11730, 476, 274, 267, 6032, 476, 13679, 268, 10082, 282, 8222, 281, 1015, 269, 13301, 5655, 270, 6359, 338, 1889, 18192, 274, 328, 273, 269, 277, 5038, 271, 454, 20082, 281, 901, 1353, 6322, 547, 3313, 519, 2360, 540, 1966, 9010, 1505, 593, 1053, 685, 1582, 21873, 543, 6310, 1620, 538, 1565, 269, 901, 1353, 1031, 11050, 543, 12007, 2409, 269, 634, 1382, 4553, 519, 1184, 540, 11050, 9819, 689, 7405, 827, 6310, 1620, 543, 4330, 1053, 685, 1582, 21873, 267, 9916, 1210, 681, 553, 577, 609, 519, 12736, 3721, 338, 3498, 269, 901, 1382, 729, 5342, 693, 590, 6573, 301, 476, 1789, 32021, 21840, 609, 1362, 24163, 1053, 607, 519, 1382, 2551, 269, 9122, 593, 713, 2551, 267, 476, 4097, 1053, 941, 5697, 607, 519, 3732, 609, 513, 12440, 4351, 10386, 4480, 269, 9122, 593, 519, 1239, 5833, 267, 621, 729, 1634, 602, 972, 568, 513, 1713, 1198, 540, 1966, 9010, 2409, 593, 6310, 1620, 269, 11531, 267, 681, 553, 577, 1239, 2079, 4951, 513, 1164, 7121, 585, 519, 2078, 1063, 1620, 543, 1582, 21873, 540, 1053, 676, 476, 2568, 10065, 901, 9863, 602, 519, 1198, 540, 519, 1966, 9010, 1505, 593, 1582, 21873, 543, 6310, 1620, 568, 2047, 14354, 563, 21292, 281, 1053, 1315, 19556, 4197, 1315, 12186, 540, 9046, 1315, 9046, 14572, 6396, 1315, 6015, 543, 6310, 454, 9928, 1057, 539, 10332, 585, 1007, 12326, 22142, 4413, 1022, 4930, 12805, 707, 1382, 689, 1022, 17404, 454, 268, 5192, 25887, 585, 1007, 4574, 12805, 707, 1382, 454, 268, 4855, 856, 519, 1007, 4574, 689, 5697, 4589, 454, 268, 21213, 3232, 585, 476, 5392, 262, 1822, 266, 13746, 543, 476, 7785, 271, 266, 21101, 454, 268, 16294, 707, 2480, 1057, 539, 1631, 454, 12812, 1934, 547, 1294, 519, 7194, 593, 834, 5715, 2158, 1014, 4750, 540, 3163, 543, 9119, 4065, 257, 1547, 0, 7069, 13898, 540, 7826, 4065, 589, 7826, 1153, 568, 711, 1175, 606, 1604, 585, 3246, 513, 3126, 540, 4245, 282, 621, 13333, 609, 606, 3872, 6138, 267, 799, 6663, 547, 2743, 519, 2115, 540, 519, 1453, 540, 2221, 538, 1769, 540, 519, 5783, 779, 5132, 538, 4906, 2441, 563, 1607, 4015, 540, 4013, 7826, 3450, 593, 2069, 568, 513, 3638, 1560, 540, 960, 17364, 3592, 519, 2898, 540, 519, 14206, 2540, 267, 593, 519, 1644, 4798, 540, 7826, 2069, 543, 524, 622, 2583, 529, 269, 634, 6054, 723, 1044, 2458, 730, 543, 12995, 609, 513, 2070, 547, 7175, 7826, 7855, 547, 5660, 811, 4628, 519, 13284, 1127, 540, 519, 2245, 538, 799, 789, 3635, 741, 4938, 566, 563, 11767, 532, 519, 1158, 540, 2069, 607, 513, 4116, 267, 594, 4126, 547, 581, 2111, 547, 1780, 593, 1250, 4978, 543, 2418, 267, 607, 1134, 607, 519, 5389, 540, 519, 7826, 5783, 267, 547, 782, 540, 1250, 1053, 269, 594, 786, 1683, 873, 609, 519, 2645, 789, 991, 547, 1451, 827, 267, 543, 2661, 267, 1369, 519, 7826, 5132, 269, 4322, 2093, 2705, 267, 616, 1360, 1454, 10353, 547, 519, 6138, 540, 18216, 4301, 2069, 269, 16393, 621, 581, 602, 713, 1826, 540, 2069, 568, 2907, 2025, 1922, 5831, 539, 543, 711, 5078, 547, 519, 476, 2641, 560, 2540, 27085, 901, 1957, 786, 9414, 875, 2069, 538, 4168, 5132, 568, 1454, 811, 982, 6071, 2069, 540, 519, 4664, 282, 621, 568, 849, 606, 2069, 540, 519, 6457, 543, 693, 519, 1482, 942, 267, 519, 6891, 16638, 2110, 267, 707, 6138, 540, 2069, 568, 1018, 596, 3494, 547, 581, 519, 3483, 540, 2069, 269, 2659, 3450, 6138, 568, 1018, 596, 3494, 568, 519, 1655, 1259, 547, 3914, 602, 3483, 267, 543, 1946, 269, 2659, 2093, 827, 2069, 543, 3450, 1058, 2097, 689, 10452, 593, 707, 2250, 2833, 609, 2069, 543, 519, 3872, 6436, 596, 723, 4121, 538, 707, 2069, 6030, 563, 4942, 3342, 4451, 540, 7826, 4065, 589, 269, 623, 6020, 300, 14473, 19419, 303, 2177, 10485, 289, 6579, 14510, 11123, 11581, 24102, 269, 595, 269, 631, 24518, 7495, 6730, 5254, 13263, 19181, 5508, 11581, 24102, 7826, 1753, 18375, 26520, 593, 1079, 2596, 2175, 281, 15366, 2648, 568, 519, 22294, 540, 782, 3450, 543, 519, 2069, 1184, 3294, 568, 513, 3406, 585, 519, 18266, 19403, 2859, 454, 4942, 3342, 4451, 568, 9833, 676, 1082, 607, 519, 1034, 1271, 2361, 540, 1353, 269, 11569, 267, 538, 519, 942, 540, 24198, 267, 18573, 543, 17127, 267, 10952, 7521, 729, 3144, 909, 10876, 267, 543, 729, 4294, 547, 13919, 267, 4984, 267, 2257, 267, 543, 12303, 1169, 2460, 540, 1272, 269, 634, 860, 2103, 616, 17938, 9285, 547, 1353, 6138, 267, 855, 519, 2482, 7826, 666, 4324, 1175, 607, 1454, 19403, 2859, 454, 2026, 606, 19829, 621, 568, 1898, 547, 4865, 513, 6138, 799, 786, 581, 4294, 538, 519, 4928, 269, 589, 6138, 540, 2069, 568, 711, 2352, 547, 2328, 269, 901, 2376, 786, 1683, 3877, 593, 10747, 543, 1603, 707, 6138, 540, 2069, 269, 15043, 513, 6138, 540, 2069, 666, 581, 513, 18447, 4305, 585, 1007, 543, 25982, 3610, 7567, 19403, 2859, 454, 29973, 22020, 540, 513, 9752, 13898, 269, 2659, 2123, 3450, 6138, 3948, 1058, 1331, 519, 1739, 281, 2659, 8226, 540, 3450, 281, 3371, 596, 4766, 1018, 3450, 1797, 547, 596, 267, 707, 3450, 3157, 267, 543, 875, 596, 666, 7520, 1346, 3157, 607, 606, 19829, 269, 12983, 971, 607, 30070, 1053, 267, 14123, 519, 1565, 1184, 267, 875, 547, 4161, 1053, 27268, 267, 543, 19403, 2859, 454, 763, 3490, 540, 7826, 2069, 11414, 721, 519, 2956, 540, 1920, 269, 1284, 1451, 267, 998, 7826, 2069, 267, 602, 1100, 2339, 875, 2182, 621, 4991, 267, 875, 1454, 596, 1616, 547, 16718, 267, 875, 13110, 543, 29041, 909, 596, 616, 14156, 543, 9308, 267, 596, 666, 2141, 1293, 593, 1920, 19403, 2859, 454, 288, 13898, 540, 4065, 568, 606, 13181, 3561, 602, 6257, 707, 1378, 2123, 2093, 543, 3853, 585, 3450, 543, 2069, 269, 5675, 513, 2312, 543, 13801, 13898, 540, 4065, 568, 4105, 952, 596, 19403, 2859, 454, 1103, 513, 5618, 4627, 3817, 267, 3220, 269, 670, 4545, 1442, 779, 1433, 267, 5589, 1478, 532, 513, 7826, 13898, 540, 16504, 4065, 267, 6799, 513, 2312, 5075, 540, 519, 3853, 540, 7826, 2069, 543, 519, 1480, 1268, 621, 568, 5921, 547, 1020, 7868, 1433, 568, 5258, 883, 3670, 11271, 267, 1142, 609, 513, 1297, 540, 30834, 2888, 543, 6700, 4901, 2055, 267, 1818, 621, 4998, 585, 11112, 12200, 2818, 547, 1865, 936, 513, 19496, 610, 606, 19403, 2859, 454, 22146, 13898, 540, 4065, 281, 1863, 13898, 3732, 547, 948, 596, 2328, 5140, 4081, 4574, 585, 1164, 1153, 267, 2852, 267, 543, 6280, 269, 6744, 856, 938, 3318, 1806, 547, 8300, 693, 10749, 17456, 832, 2593, 19403, 2859, 454, 3963, 898, 3718, 281, 901, 3948, 568, 2241, 267, 3551, 267, 543, 2653, 547, 10110, 20193, 3217, 513, 2990, 267, 519, 4928, 568, 513, 2713, 2146, 543, 3025, 8309, 267, 543, 27711, 621, 1134, 269, 2755, 596, 1810, 1406, 991, 547, 3514, 3388, 596, 3494, 827, 3450, 883, 513, 2582, 4845, 267, 621, 779, 1271, 547, 581, 2111, 547, 2769, 519, 1034, 3844, 851, 540, 707, 2093, 543, 14422, 607, 513, 4116, 19403, 2859, 0, 14582, 14079, 568, 519, 3854, 540, 519, 6243, 540, 28993, 269, 15316, 6163, 540, 6189, 20441, 519, 2749, 1247, 922, 2487, 32134, 607, 519, 3056, 13398, 538, 5045, 3887, 6141, 2342, 2306, 621, 513, 1590, 268, 5408, 10278, 269, 13760, 2433, 5617, 14079, 568, 519, 3854, 540, 28993, 543, 568, 267, 607, 971, 267, 519, 2197, 779, 4102, 2749, 609, 513, 2551, 540, 827, 476, 272, 269, 278, 2929, 1004, 269, 898, 6013, 593, 519, 1476, 26475, 540, 519, 1079, 2101, 3864, 8933, 267, 590, 6072, 543, 8355, 4209, 269, 634, 2749, 814, 513, 1279, 1686, 267, 6580, 1394, 547, 519, 476, 275, 628, 2540, 7460, 267, 950, 519, 1858, 729, 12306, 676, 22469, 11031, 269, 13536, 593, 267, 621, 2968, 519, 4936, 2749, 540, 7327, 573, 684, 636, 267, 543, 882, 923, 540, 602, 5736, 666, 1869, 581, 2938, 538, 519, 2749, 267, 3226, 693, 17833, 655, 1122, 323, 534, 10783, 816, 269, 4438, 519, 5664, 12698, 519, 4884, 4957, 3946, 1063, 519, 8003, 540, 21640, 543, 519, 5395, 15487, 2677, 13607, 622, 630, 1993, 799, 621, 729, 519, 3854, 264, 2394, 476, 13923, 272, 267, 950, 621, 729, 9676, 676, 519, 16368, 7276, 269, 19402, 28993, 17477, 922, 7115, 538, 476, 6942, 279, 267, 519, 2749, 1586, 4957, 3946, 2789, 2053, 267, 855, 1063, 519, 16368, 7276, 543, 519, 670, 11274, 7921, 7276, 269, 2991, 519, 3689, 2622, 2782, 267, 5617, 14079, 2968, 519, 10160, 540, 8003, 540, 5395, 2125, 267, 15867, 1846, 543, 6215, 8576, 525, 630, 1492, 8003, 540, 31735, 807, 267, 689, 476, 4572, 280, 264, 2394, 922, 12900, 538, 476, 3707, 272, 267, 1310, 519, 7766, 4436, 12289, 269, 4438, 519, 5822, 2622, 2782, 621, 729, 519, 10160, 540, 519, 13303, 12470, 564, 6554, 540, 2817, 6428, 14010, 543, 621, 729, 8185, 10514, 539, 7466, 267, 2899, 676, 519, 16586, 543, 2899, 676, 519, 27469, 269, 898, 729, 1586, 5391, 23306, 676, 519, 4745, 31735, 1107, 8168, 8136, 563, 1103, 476, 3707, 276, 5617, 14079, 2968, 519, 3854, 540, 21340, 31735, 807, 630, 24392, 519, 2197, 7012, 1406, 851, 540, 519, 8109, 2349, 665, 1310, 519, 29200, 31735, 1107, 8168, 8237, 538, 476, 3707, 279, 1070, 3366, 676, 15794, 531, 21280, 760, 7935, 345, 570, 17010, 2394, 1010, 2669, 538, 476, 2735, 271, 269, 4438, 713, 1974, 5617, 14079, 2968, 519, 2804, 267, 2686, 543, 2797, 4099, 540, 519, 26811, 753, 267, 607, 519, 2197, 729, 13326, 3294, 1063, 519, 5101, 543, 519, 4639, 563, 1607, 1974, 540, 6617, 1705, 711, 2063, 267, 543, 519, 2197, 13264, 909, 883, 2947, 1007, 1065, 28362, 923, 1310, 519, 31735, 10617, 269, 3502, 1279, 1310, 602, 267, 519, 2749, 4718, 5208, 1586, 538, 476, 1960, 280, 267, 607, 621, 729, 8185, 10514, 539, 585, 476, 4281, 2395, 676, 24114, 4229, 269, 7053, 538, 476, 1220, 277, 267, 519, 2749, 2968, 519, 3854, 2749, 540, 519, 4830, 6243, 540, 28993, 269, 901, 1419, 10795, 1686, 543, 3544, 3310, 814, 11954, 1454, 540, 5617, 14079, 779, 4720, 267, 799, 568, 10423, 538, 922, 2528, 543, 6189, 269, 10705, 9575, 1063, 519, 17200, 543, 606, 341, 559, 540, 804, 4770, 23693, 267, 519, 2749, 814, 3144, 593, 513, 2189, 1915, 267, 24188, 540, 1312, 22341, 543, 15349, 7506, 267, 609, 513, 2189, 1305, 540, 19797, 2609, 16207, 538, 676, 519, 15794, 531, 570, 17010, 6554, 269, 8616, 267, 519, 2749, 814, 922, 1378, 6891, 267, 543, 538, 621, 666, 581, 1336, 930, 711, 1152, 2189, 2934, 267, 855, 849, 513, 2635, 3675, 773, 632, 642, 643, 516, 538, 922, 1309, 10623, 2528, 267, 3781, 5158, 543, 1419, 513, 11335, 8137, 538, 922, 6197, 563, 24292, 2621, 689, 1472, 519, 1158, 267, 2705, 267, 616, 4358, 547, 1831, 5051, 1455, 267, 3226, 538, 519, 5614, 543, 4832, 3275, 267, 1813, 547, 519, 9525, 540, 2199, 6575, 543, 2528, 3906, 267, 607, 1134, 607, 4914, 2377, 817, 625, 543, 2686, 7740, 269, 1452, 4482, 513, 1434, 4308, 540, 2199, 3007, 267, 543, 616, 4543, 538, 9870, 519, 2749, 779, 9043, 607, 513, 2686, 28326, 13607, 269, 5617, 14079, 568, 606, 17615, 2749, 556, 1673, 4593, 1478, 532, 922, 9235, 1761, 563, 16966, 2433, 18509, 7149, 281, 476, 4510, 269, 279, 1626, 5780, 278, 267, 476, 736, 269, 5379, 277, 5780, 278, 1315, 1635, 7077, 2433, 5617, 14079, 21208, 7637, 23592, 23076, 630, 296, 25353, 281, 645, 9680, 264, 568, 476, 1240, 14790, 7178, 540, 519, 2749, 4099, 267, 4092, 538, 519, 25610, 540, 5080, 11142, 543, 568, 519, 1753, 3490, 540, 5794, 28993, 630, 296, 25353, 281, 808, 308, 1070, 799, 13733, 547, 5176, 476, 2004, 18353, 5001, 269, 634, 19633, 814, 1044, 5063, 22058, 730, 543, 1007, 1795, 559, 2572, 723, 1044, 8118, 607, 621, 568, 4742, 513, 6237, 13398, 269, 4033, 2101, 2011, 6050, 602, 8038, 547, 5617, 14079, 616, 17224, 1993, 14309, 267, 1627, 20345, 5794, 1811, 267, 15349, 267, 13198, 325, 628, 753, 320, 267, 22341, 267, 1325, 1388, 807, 543, 18230, 4139, 269, 15349, 5794, 6050, 3091, 7466, 3232, 19426, 547, 594, 30955, 269, 5494, 870, 543, 1100 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1312, 519, 1762, 543, 2025, 269, 4210, 21148, 568, 1256, 1419, 15695, 607, 519, 1034, 3617, 7328, 585, 4230, 327, 15122, 1453, 476, 272, 1700, 274, 267, 5631, 630, 8117, 4440, 711, 9003, 264, 593, 519, 12406, 602, 11375, 2718, 5848, 2011, 568, 1447, 20009, 547, 24254, 3635, 14001, 10447, 476, 275, 269, 1717, 267, 585, 6654, 4128, 540, 18117, 1670, 3106, 267, 519, 1216, 540, 1857, 543, 4357, 10977, 20115, 1590, 581, 21149, 539, 476, 276, 269, 634, 1034, 1455, 5650, 585, 1216, 771, 26529, 5161, 540, 8392, 1588, 269, 1306, 609, 782, 1480, 543, 6639, 6304, 267, 519, 946, 540, 20841, 2861, 2472, 547, 21149, 10977, 1216, 949, 1291, 547, 513, 1297, 540, 13311, 2360, 267, 538, 1880, 519, 4527, 540, 20841, 25202, 7135, 538, 519, 2011, 269, 9182, 267, 8392, 1588, 949, 1860, 519, 7929, 1072, 540, 2901, 1346, 945, 960, 607, 10977, 7390, 1218, 610, 16929, 267, 610, 1346, 945, 946, 519, 20115, 607, 5561, 267, 3226, 1453, 543, 519, 2489, 1857, 267, 855, 849, 8013, 7669, 11302, 269, 4014, 519, 3390, 540, 519, 8392, 1588, 540, 1857, 1216, 7727, 814, 4607, 9645, 3007, 267, 5631, 609, 2543, 547, 519, 4527, 540, 5732, 15910, 8328, 610, 1768, 520, 8328, 8392, 3990, 676, 1790, 20094, 476, 277, 267, 476, 278, 267, 519, 7929, 10898, 540, 8392, 3990, 10977, 1216, 723, 1044, 1447, 1134, 9619, 269, 4935, 267, 2025, 476, 279, 267, 476, 280, 543, 1256, 811, 2487, 476, 1015, 5359, 593, 11255, 5533, 798, 711, 4308, 609, 519, 2011, 540, 8392, 3990, 10977, 20115, 267, 5103, 519, 3622, 6654, 543, 11593, 18476, 8886, 656, 1915, 540, 713, 1826, 540, 1604, 267, 1256, 538, 1134, 31720, 22633, 20115, 476, 1556, 563, 2419, 3271, 1588, 568, 519, 1034, 1455, 5650, 585, 1216, 771, 26529, 540, 1857, 1216, 7727, 543, 10977, 20115, 269, 25914, 710, 949, 581, 3773, 547, 1216, 607, 519, 31529, 1106, 630, 5141, 273, 1070, 799, 6385, 29230, 8240, 547, 3834, 5255, 3271, 748, 3679, 630, 9816, 5141, 1070, 610, 607, 9770, 610, 7513, 3834, 5255, 3271, 924, 630, 27845, 302, 5141, 610, 6970, 263, 302, 5141, 264, 273, 1040, 14523, 5255, 3271, 924, 267, 585, 771, 26529, 267, 949, 849, 581, 3812, 676, 4946, 865, 10777, 3834, 5255, 3271, 924, 19356, 908, 8069, 267, 971, 607, 27524, 3271, 12251, 30662, 23847, 267, 547, 1216, 269, 769, 1216, 609, 513, 9063, 1063, 476, 277, 269, 276, 1700, 279, 269, 276, 267, 1312, 32764, 5141, 543, 519, 3834, 5255, 3271, 924, 9357, 630, 302, 5141, 6629, 264, 616, 1459, 563, 10907, 1393, 10898, 1644, 547, 519, 8392, 1588, 540, 10977, 20115, 454, 10907, 1393, 4598, 547, 1164, 2157, 540, 20841, 3154, 267, 4611, 689, 30762, 267, 20984, 610, 29840, 532, 540, 20841, 16162, 26529, 19698, 476, 1321, 1700, 1691, 568, 513, 1134, 8153, 1966, 269, 634, 1072, 4539, 540, 971, 13685, 949, 581, 811, 610, 1447, 3978, 269, 27275, 19183, 4096, 593, 519, 8515, 540, 519, 4598, 630, 328, 4318, 269, 519, 4999, 540, 19666, 9830, 543, 8653, 540, 4598, 264, 543, 949, 1331, 561, 31099, 522, 539, 9047, 267, 10447, 6285, 543, 3114, 17236, 540, 519, 5580, 543, 2539, 21572, 11940, 6242, 267, 543, 1256, 3114, 13969, 517, 4345, 476, 1428, 269, 634, 811, 7928, 1447, 3978, 19183, 1331, 23644, 561, 778, 787, 332, 566, 543, 13439, 2684, 31099, 16698, 267, 607, 1134, 607, 5409, 1203, 7976, 269, 17073, 13500, 1058, 917, 875, 547, 4308, 609, 891, 25096, 267, 799, 538, 519, 2013, 540, 3003, 1153, 6105, 949, 12446, 538, 513, 1804, 1895, 609, 7654, 811, 7553, 982, 8904, 476, 1626, 269, 5395, 1190, 32480, 7063, 1590, 581, 6444, 543, 5701, 9935, 267, 543, 519, 7872, 540, 7293, 610, 6198, 3524, 601, 2801, 267, 3226, 19535, 28296, 14524, 6794, 630, 305, 4696, 306, 1070, 1590, 581, 679, 6665, 3042, 476, 1704, 269, 1403, 1152, 585, 3053, 1961, 6549, 4128, 267, 621, 4667, 8797, 711, 547, 11166, 9601, 540, 32480, 7063, 1510, 606, 4879, 540, 17422, 1599, 267, 1519, 7403, 540, 19357, 658, 30506, 543, 18236, 4390, 610, 1973, 3766, 553, 2079, 609, 13387, 3635, 269, 3143, 6417, 2090, 723, 11117, 519, 4324, 540, 28720, 11528, 610, 31067, 29416, 8803, 6950, 538, 9601, 540, 32480, 7063, 267, 855, 621, 4667, 20582, 267, 1759, 593, 5631, 23278, 4973, 2963, 543, 7811, 9270, 267, 547, 2061, 7050, 21572, 6553, 676, 31067, 29416, 8803, 6950, 269, 898, 568, 849, 8797, 547, 18973, 513, 1246, 5346, 540, 7929, 2589, 267, 838, 328, 668, 4479, 543, 267, 952, 2556, 267, 20060, 24594, 19357, 658, 2746, 2032, 267, 1310, 476, 277, 1700, 279, 4374, 563, 30999, 1575, 1049, 4598, 547, 10977, 1790, 944, 2011, 454, 288, 1447, 1134, 8153, 1966, 568, 602, 540, 519, 2009, 1072, 2360, 540, 3232, 610, 26740, 23927, 547, 519, 968, 7538, 892, 11255, 5790, 540, 10977, 20115, 267, 799, 1455, 1995, 18327, 547, 581, 607, 533, 2426, 550, 543, 8886, 908, 585, 519, 4064, 543, 5580, 28296, 267, 607, 930, 4853, 5054, 269, 634, 6093, 9329, 540, 10977, 1790, 944, 4694, 12742, 568, 4122, 11911, 547, 968, 18608, 710, 892, 538, 519, 2011, 269, 1717, 267, 2487, 2090, 723, 7000, 267, 693, 2547, 547, 519, 2564, 2146, 267, 602, 519, 9329, 543, 8886, 656, 3601, 540, 10977, 1790, 944, 2011, 616, 5631, 1813, 547, 8392, 26952, 476, 1240, 269, 1452, 8392, 26952, 267, 1395, 5255, 3271, 8533, 630, 26822, 273, 5141, 1070, 27524, 3271, 8533, 630, 26822, 5141, 273, 264, 543, 959, 747, 3271, 8533, 630, 301, 5141, 274, 1070, 616, 6383, 689, 519, 5114, 540, 3834, 5255, 3271, 924, 609, 20342, 543, 11254, 16327, 2432, 602, 22132, 689, 17570, 543, 10729, 540, 519, 7669, 11302, 269, 1452, 8392, 26952, 267, 543, 3226, 519, 959, 747, 3271, 8533, 267, 616, 3833, 19979, 543, 789, 15652, 3362, 689, 519, 1216, 883, 519, 2011, 269, 634, 2175, 602, 3313, 2504, 543, 2011, 2157, 540, 8392, 26952, 4096, 267, 1851, 824, 2188, 267, 593, 519, 4110, 540, 1216, 8392, 1588, 267, 519, 12526, 540, 519, 1216, 676, 9436, 25202, 7135, 630, 6518, 538, 2490, 5673, 593, 519, 1297, 540, 536, 1430, 338, 267, 607, 1134, 607, 741, 7180, 543, 9882, 1070, 1216, 2837, 543, 2011, 973, 597, 27218, 476, 1240, 267, 476, 866, 269, 4658, 2324, 538, 971, 5054, 267, 971, 607, 7535, 19217, 832, 610, 10977, 3610, 267, 616, 15069, 6534, 547, 891, 8069, 267, 543, 789, 949, 1020, 7929, 2589, 476, 866, 269, 1717, 267, 711, 1454, 568, 1634, 827, 519, 1279, 3856, 1072, 4220, 602, 891, 8886, 1218, 10460, 547, 5520, 269, 3143, 1072, 2861, 17163, 4598, 7182, 3100, 547, 2291, 585, 8392, 26952, 267, 4352, 18747, 723, 1044, 1500, 476, 736, 269, 769, 713, 3390, 540, 519, 3864, 28614, 4750, 267, 774, 1157, 9116, 1696, 620, 269, 476, 2641, 1459, 1614, 5266, 1134, 1673, 29545, 2665, 540, 17163, 10447, 538, 10977, 1790, 944, 4600, 269, 9122, 593, 519, 6609, 540, 519, 2550, 267, 1079, 540, 7247, 1185, 513, 2318, 19357, 658, 1008, 6327, 1449, 547, 8392, 8533, 538, 519, 8047, 267, 972, 568, 2370, 8969, 602, 891, 1004, 1185, 17163, 10447, 269, 1717, 267, 519, 7271, 540, 519, 10447, 538, 891, 7606, 3788, 21792, 543, 519, 3409, 602, 621, 568, 1813, 547, 6375, 1670, 22740, 1436, 568, 1152, 6462, 676, 519, 1249, 602, 519, 5396, 7902, 547, 2746, 19918, 547, 27333, 1970, 2157, 540, 959, 747, 3271, 8533, 269, 589, 6986, 8886, 656, 1198, 729, 267, 4061, 267, 2808, 1447, 2693, 607, 519, 5396, 1185, 1100, 2799, 19357, 658, 2746, 2032, 547, 1277, 8533, 269, 7054, 761, 656, 14001, 10447, 3361, 676, 5312, 968, 869, 7400, 892, 4598, 547, 8886, 656, 8069, 568, 513, 11786, 11769, 585, 799, 972, 568, 1869, 1152, 3908, 16917, 8344, 543, 8097, 1489, 563, 2662, 7241, 519, 7271, 540, 8392, 8533, 5829, 10447, 949, 581, 267, 519, 2376, 676, 774, 1157, 9116, 1696, 620, 269, 476, 2641, 568, 24802, 1271, 267, 1317, 621, 5713, 607, 2963, 602, 10977, 7535, 14001, 10447, 949, 2049, 607, 606, 17163, 2068, 269, 1703, 616, 4128, 547, 3494, 602, 713, 568, 711, 971, 606, 11108, 12136, 269, 11569, 267, 950, 623, 2529, 269, 8738, 613, 630, 5719, 696, 540, 28614, 6925, 267, 27706, 25016, 15302, 5149, 267, 9839, 4133, 11233, 267, 27257, 267, 5177, 1070, 519, 9972, 2278, 540, 519, 2376, 267, 4843, 835, 540, 519, 1614, 2665, 693, 606, 7317, 17163, 6264, 5180, 540, 519, 476, 1960, 279, 5993, 3864, 28614, 5980, 5870, 538, 25611, 543, 4280, 968, 5970, 596, 2938, 2665, 540, 10977, 1790, 944, 10447, 286, 5608, 476, 2190, 260, 543, 476, 866, 260, 540, 519, 5304, 14452, 9811, 543, 6148, 267, 6606, 630, 3467, 982, 476, 13136, 5171, 267, 476, 7830, 260, 540, 7247, 6170, 2999, 1015, 260, 540, 741, 942, 7231, 609, 17163, 5761, 2068, 282, 10002, 21242, 1239, 1916, 5194, 2601, 1946, 519, 1867, 676, 774, 1157, 9116, 1696, 620, 269, 476, 2641, 568, 1271, 568, 602, 621, 949, 723, 6286, 585, 824, 2010, 540, 6009, 267, 3544, 10977, 20115, 269, 27686, 849, 3322, 4598, 547, 1585, 2010, 540, 8886, 1218, 267, 1519, 6926, 778, 269, 4935, 267, 13680, 543, 3318, 7738, 10986, 616, 711, 1152, 693, 1981, 540, 8650, 32480, 5945, 607, 513, 1267, 540, 11544, 22424, 520, 4850, 630, 1076, 778, 609, 20342, 267, 6926, 778, 609, 7408, 264, 476, 2420, 1700, 2767, 267, 855, 2487, 16917, 8344, 2090, 723, 8612, 602, 2973, 619, 4866, 547, 513, 7121, 540, 4600, 693, 2362, 1981, 540, 10447, 476, 2764, 269, 4014, 1808, 6547, 547, 7738, 8069, 723, 1044, 4330, 12212, 267, 519, 3123, 540, 10447, 538, 2973, 619, 723, 7283, 796, 30009, 865, 2484, 269, 12344, 267, 519, 1909, 540, 8392, 26952, 1058, 581, 11567, 2417, 563, 18933, 21148, 543, 519, 1072, 540, 7669, 11302, 454, 7661, 267, 519, 1198, 540, 10977, 1790, 944, 4694, 12742, 593, 519, 536, 1430, 338, 2933, 568, 513, 1888, 540, 1719, 269, 634, 6225, 2360, 540, 10977, 538, 4230, 327, 15122, 1453, 616, 3622, 11911, 547, 519, 1249, 602, 7244, 5848, 2011, 568, 1447, 20009, 547, 3635, 14001, 19357, 27019, 560, 9689, 982, 824, 3029, 540, 3635, 476, 275, 269, 1717, 267, 519, 3390, 540, 519, 2009, 8886, 656, 4598, 4611, 689, 1216, 8392, 1588, 723, 711, 1044, 9619, 610, 3112, 581, 23754, 539, 689, 12326, 1141, 4230, 327, 3901, 923, 723, 22734, 10977, 13652, 1456, 15961, 476, 272, 1700, 274, 267, 476, 3066, 269, 1703, 616, 23278, 4973, 23053, 602, 4230, 327, 15122, 7606, 798, 711, 2141, 20496, 8392, 3990, 20115, 1134, 476, 2537, 267, 476, 1789, 1700, 3953, 267, 855, 538, 2489, 713, 1281, 711, 2408, 547, 13822, 513, 2101, 1966, 269, 1703, 616, 849, 23053, 602, 8013, 7669, 11302, 723, 811, 19357, 658, 5409, 22529, 4369, 610, 10447, 982, 824, 5026, 5443, 476, 3451, 267, 476, 4097, 269, 634, 4128, 585, 891, 7422, 616, 7164, 267, 855, 8886, 1218, 723, 1044, 6700, 607, 513, 2009, 21465, 3815, 267, 4352, 519, 2601, 1223, 1331, 9258, 1757, 566, 630, 553, 628, 3901, 923, 1373, 811, 2693, 547, 3442, 10977, 607, 513, 7328, 1916, 763, 3390, 540, 10977, 543, 7929, 1072, 814, 5063, 4607, 513, 1390, 4308, 540, 3007, 538, 19934, 609, 519, 3810, 1857, 1242, 2164, 540, 513, 3444, 22891, 5619, 540, 1153, 18244, 267, 799, 10645, 602, 10977, 538, 8392, 3990, 20115, 4564, 513, 9651, 540, 17422, 3441, 267, 543, 1223, 1256, 581, 3743, 585, 519, 5063, 4767, 2333, 538, 10447, 538, 5375, 7239, 476, 3374, 269, 1452, 8753, 941, 1759, 593, 519, 8343, 602, 16796, 9830, 540, 13969, 24418, 1231, 630, 10852, 569, 1147, 2399, 656, 3940, 645, 630, 9915, 5174, 4297, 941, 11506, 538, 1453, 945, 4749, 7390, 8392, 3990, 10977, 20115, 607, 3379, 547, 1852, 1453, 269, 4210, 21148, 20343, 6045, 513, 1804, 851, 540, 519, 13065, 538, 16796, 13969, 24418, 1231, 267, 950, 824, 2009, 2188, 941, 3144, 883, 2272, 267, 543, 972, 729, 513, 1434, 9570, 270, 24978, 2078, 1063, 16796, 13969, 24418, 1231, 543, 606, 4994, 540, 19469, 10977, 1790, 944, 20343, 630, 327, 6440, 15553, 6629, 272, 6440, 10455, 1070, 607, 6059, 693, 519, 1377, 540, 1142, 1153, 269, 9122, 593, 3573, 1995, 476, 3607, 267, 519, 3173, 2808, 602, 971, 2799, 2157, 540, 16796, 13969, 24418, 1231, 10630, 4679, 538, 519, 31276, 565, 665, 777, 16736, 27978, 543, 602, 713, 729, 606, 2038, 16315, 540, 5761, 5945, 543, 1981, 540, 2068, 269, 1717, 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 ]
[ 1406, 917, 4376, 827, 803, 563, 296, 11074, 6340, 267, 543, 519, 7391, 30403, 269, 2334, 779, 950, 594, 4956, 547, 2307, 873, 713, 2243, 281, 5808, 798, 596, 1589, 594, 993, 286, 594, 5795, 873, 2407, 10479, 547, 2285, 9237, 30491, 563, 295, 1343, 5612, 8929, 909, 543, 519, 6114, 3357, 3728, 543, 9663, 1190, 269, 17658, 850, 3022, 3043, 4807, 269, 6762, 269, 8550, 1185, 513, 2182, 1554, 538, 707, 1272, 563, 296, 12943, 873, 1175, 607, 6385, 676, 10962, 519, 5958, 540, 1250, 1272, 281, 8250, 540, 513, 5834, 3786, 31848, 269, 9835, 323, 5922, 540, 513, 10553, 269, 3689, 1920, 4759, 547, 7390, 6280, 563, 2026, 7496, 3357, 512, 22824, 1524, 543, 20887, 5941, 543, 7006, 8215, 267, 1591, 11436, 941, 5612, 533, 1442, 9643, 269, 1284, 941, 1818, 1480, 4296, 1631, 269, 3776, 1007, 6643, 729, 6422, 267, 9237, 267, 543, 646, 320, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 4040, 268, 11073, 12267, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 22335, 1299, 32532, 2762, 1315, 11806, 266, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 6732, 31055, 1299, 4706, 22769, 692, 5970, 596, 2479, 2938, 23032, 9708, 610, 7044, 1247, 29957, 998, 707, 5172, 1514, 2923, 4609, 286, 1452, 616, 1572, 2228, 22099, 267, 610, 834, 6758, 257, 585, 2110, 256, 14992, 543, 3906, 2628, 2724, 547, 891, 7270, 865, 602, 789, 666, 1397, 741, 5048, 547, 607, 1082, 1004, 607, 2009, 269, 898, 781, 899, 2348, 513, 3915, 4580, 1318, 3330, 707, 6049, 610, 2780, 780, 3080, 2442, 3896, 1141, 596, 1522, 1294, 18537, 568, 9365, 269, 1358, 1450, 1114, 2516, 547, 2671, 1344, 827, 1585, 3584, 910, 713, 1223, 581, 4376, 689, 14232, 9413, 267, 3381, 3756, 267, 610, 1256, 1271, 2146, 2621, 269, 1717, 267, 2094, 972, 616, 1100, 7182, 547, 1018, 2576, 666, 2022, 593, 519, 4950, 267, 3006, 7301, 610, 22801, 1344, 949, 3262, 1472, 269, 901, 2968, 513, 6161, 1282, 9550, 2053, 950, 1978, 2477, 6836, 547, 3310, 875, 1866, 20366, 676, 4687, 11234, 2984, 269, 1677, 2061, 1945, 899, 713, 689, 8345, 1586, 267, 9365, 5189, 930, 3652, 585, 9140, 2797, 18537, 593, 741, 3135, 780, 20058, 267, 952, 2576, 6499, 547, 4444, 513, 2797, 740, 267, 789, 991, 547, 979, 998, 606, 3573, 19027, 1184, 269, 901, 1797, 3246, 5961, 540, 4013, 8446, 6486, 267, 30260, 9607, 267, 543, 1256, 10992, 4317, 8232, 2338, 269, 1635, 3257, 713, 267, 9365, 5849, 602, 1152, 1483, 1004, 609, 9758, 15752, 616, 4847, 547, 1747, 971, 18537, 780, 3719, 1018, 12523, 607, 513, 834, 335, 11823, 740, 22172, 2311, 1101, 267, 621, 729, 1175, 1022, 13319, 1644, 547, 12836, 267, 14761, 267, 610, 13359, 269, 1809, 1631, 267, 9365, 849, 15109, 18537, 4448, 547, 1713, 6927, 7133, 519, 4182, 269, 1280, 3236, 267, 5717, 827, 16377, 267, 3782, 267, 11776, 267, 610, 2916, 1689, 1131, 782, 2097, 896, 713, 7121, 269, 2060, 891, 6042, 538, 1747, 267, 649, 4126, 547, 2226, 14619, 543, 19969, 538, 1018, 649, 1224, 543, 4585, 2228, 780, 3383, 1985, 942, 596, 2097, 2066, 606, 4277, 740, 1247, 19855, 267, 3314, 602, 3297, 1169, 15469, 2022, 6013, 513, 1268, 610, 3919, 3843, 547, 3914, 856, 547, 596, 269, 1656, 7064, 547, 15826, 4808, 1305, 909, 676, 3549, 899, 9365, 267, 649, 666, 2972, 938, 3059, 2833, 811, 9108, 543, 18390, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 293, 864, 1504, 779, 1007, 3800, 28142, 946, 540, 922, 10229, 3760, 723, 13175, 547, 1764, 3377, 543, 2923, 3906, 267, 2687, 547, 513, 1867, 3370, 11016, 676, 519, 7638, 613, 269, 634, 7575, 616, 519, 5767, 1900, 538, 519, 2754, 779, 5859, 547, 524, 16428, 922, 3760, 896, 519, 536, 690, 639, 840, 3667, 540, 28530, 968, 305, 11701, 13779, 892, 543, 968, 325, 820, 3377, 3034, 28275, 2904, 476, 2190, 267, 9365, 3459, 8506, 602, 4896, 530, 5109, 547, 6718, 513, 968, 335, 11823, 740, 892, 1590, 10929, 606, 593, 2730, 28431, 1184, 267, 26446, 2592, 540, 513, 2229, 268, 1170, 4240, 9517, 543, 2357, 4328, 741, 2232, 543, 4317, 8232, 1297, 267, 1851, 824, 4170, 563, 1103, 1840, 547, 18537, 11341, 547, 12836, 267, 22275, 24229, 267, 2797, 6105, 610, 10457, 585, 5604, 267, 519, 1514, 2923, 2754, 814, 11280, 476, 736, 968, 1170, 1132, 540, 3084, 2956, 892, 799, 2887, 896, 922, 1007, 9993, 269, 634, 2152, 1765, 629, 10407, 267, 6578, 267, 3540, 2924, 267, 6760, 267, 4346, 267, 2069, 267, 1648, 267, 1604, 267, 4914, 3609, 267, 2229, 6963, 267, 15963, 267, 1072, 267, 11776, 267, 5989, 267, 4108, 267, 6710, 267, 1514, 694, 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, 4495, 2390, 513, 942, 267, 538, 513, 10477, 2244, 1572, 853, 3558, 6807, 267, 972, 729, 513, 9589, 3684, 3957, 29828, 532, 7578, 269, 2701, 5030, 3330, 513, 18241, 22927, 4055, 4904, 609, 16060, 267, 17234, 267, 543, 16181, 540, 1169, 3337, 543, 2450, 269, 29828, 532, 7578, 1185, 1082, 2027, 15421, 267, 855, 1200, 5172, 3364, 547, 798, 729, 3444, 3613, 26677, 4190, 5961, 5196, 5958, 1210, 6263, 19271, 543, 10477, 19568, 780, 3080, 13566, 1554, 267, 29828, 532, 7578, 4956, 547, 1711, 1945, 3063, 2027, 1107, 1352, 4941, 547, 1118, 513, 15999, 12566, 20625, 1374, 593, 513, 2571, 267, 5835, 12308, 269, 1677, 1376, 1200, 1788, 267, 1352, 2877, 930, 948, 689, 1200, 1655, 2828, 267, 519, 28577, 4460, 518, 543, 519, 11635, 898, 2439, 5575, 267, 789, 14376, 519, 28577, 4460, 518, 547, 6443, 873, 269, 634, 28577, 4460, 518, 6743, 899, 513, 20036, 2370, 15513, 267, 1152, 922, 13504, 4012, 1227, 20374, 1310, 1373, 4401, 539, 269, 901, 5280, 1004, 917, 4010, 1141, 547, 19173, 1510, 6028, 1022, 7436, 3297, 269, 27355, 1405, 602, 3579, 286, 8625, 267, 789, 8359, 513, 17681, 12566, 20625, 4806, 543, 5402, 14360, 621, 5196, 519, 12308, 1210, 519, 28577, 4460, 518, 780, 9202, 267, 621, 729, 942, 547, 6338, 519, 2034, 3659, 267, 519, 11635, 898, 256, 2060, 9543, 2604, 543, 14246, 267, 519, 11635, 898, 256, 1131, 948, 519, 9059, 13504, 14897, 267, 1818, 1259, 585, 29828, 532, 7578, 781, 13549, 1740, 269, 1809, 1354, 789, 3323, 267, 29828, 532, 7578, 6045, 875, 1271, 621, 729, 547, 1246, 3106, 3652, 1472, 519, 11635, 898, 256, 1317, 621, 3893, 3833, 3905, 269, 1358, 16219, 2760, 547, 5905, 621, 1247, 621, 729, 8022, 909, 610, 9023, 1524, 780, 4415, 3388, 5423, 267, 29828, 532, 7578, 3459, 1200, 22539, 960, 269, 1306, 1352, 5578, 2685, 11461, 1200, 13549, 998, 519, 12308, 1739, 519, 6825, 3515, 267, 1352, 16545, 13743, 2692, 1846, 13735, 2282, 13869, 4054, 896, 2312, 4544, 22839, 1765, 3286, 607, 3254, 538, 519, 3670, 562, 27658, 12383, 3177, 676, 853, 3558, 541, 4821, 269, 1548, 8748, 2592, 1346, 941, 2439, 19602, 267, 519, 11635, 898, 256, 3461, 569, 31372, 585, 922, 2490, 547, 19542, 269, 1879, 519, 2063, 19173, 729, 2347, 267, 29828, 532, 7578, 5116, 519, 3636, 11635, 898, 256, 9900, 5196, 519, 12308, 267, 15603, 519, 9059, 4755, 269, 1656, 21350, 10042, 256, 3807, 607, 16219, 267, 782, 519, 28577, 4460, 518, 781, 13504, 8709, 1639, 267, 13031, 513, 3501, 12566, 20625, 20100, 4712, 547, 6505, 523, 4896, 779, 1554, 780, 3719, 7227, 267, 1018, 5949, 1985, 1522, 9983, 596, 1256, 811, 256, 1411, 1294, 267, 29828, 532, 7578, 7012, 1405, 2944, 2943, 269, 4635, 1200, 3710, 2987, 25573, 267, 1352, 3773, 31394, 3877, 543, 14592, 547, 3142, 519, 12566, 20625, 5963, 547, 1272, 269, 17652, 2614, 267, 3025, 945, 4718, 519, 8737, 4062, 7948, 1405, 5706, 14952, 532, 693, 971, 17175, 23477, 780, 5804, 1287, 593, 267, 8164, 2576, 1007, 10272, 29828, 532, 7578, 781, 18241, 7944, 538, 853, 3558, 6807, 267, 789, 4121, 827, 519, 6909, 5918, 334, 540, 519, 28577, 4460, 518, 543, 519, 11635, 898, 29755, 4543, 1142, 824, 3035, 3304, 9317, 13144, 269, 5753, 9683, 1131, 2307, 267, 968, 1432, 616, 1346, 1919, 9495, 543, 4079, 7404, 1131, 2671, 2984, 540, 875, 789, 1932, 2899, 4371, 28577, 4460, 619, 543, 1500, 1148, 2097, 9800, 780, 4517, 865, 267, 938, 9661, 11414, 721, 602, 3006, 649, 991, 513, 3787, 540, 5583, 547, 1711, 1945, 9058, 269, 6787, 16439, 3270, 609, 513, 5363, 15262, 610, 1565, 2922, 2081, 547, 6023, 2645, 899, 519, 11635, 898, 29755, 1927, 649, 3605, 5863, 7399, 538, 519, 7706, 540, 6575, 543, 13492, 269, 8414, 2870, 267, 15210, 3283, 267, 2394, 649, 2743, 1586, 538, 1776, 627, 15501, 673, 7045, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 289, 16742, 24493, 853, 9662, 282, 1315, 275, 257, 1535, 1315, 275, 257, 21150, 5514, 2044, 12197, 282, 29740, 24493, 21150, 5514, 2044, 5071, 338, 282, 15261, 19712, 2037, 12574, 585, 5071, 18482, 18734, 910, 8437, 1934, 269, 28038, 5071, 18482, 18734, 269, 7193, 1759, 3498, 602, 2636, 596, 547, 3362, 4383, 707, 30927, 1239, 543, 5911, 8393, 4483, 621, 547, 707, 22927, 269, 11635, 898, 256, 1280, 713, 1505, 267, 596, 786, 991, 606, 4401, 6823, 4483, 4050, 610, 15513, 799, 666, 581, 11751, 693, 1034, 5958, 270, 572, 9405, 8637, 269, 594, 4782, 269, 1403, 596, 899, 533, 2088, 897, 27885, 267, 853, 3558, 541, 4821, 781, 2413, 25882, 20625, 11635, 268, 4002, 21150, 5514, 2044, 18734, 568, 1175, 585, 596, 256, 22291, 835, 538, 1535, 476, 1556, 514, 6656, 540, 23431, 4401, 6823, 269, 476, 277, 3690, 325, 619, 630, 4754, 581, 1031, 1586, 543, 1586, 952, 596, 2811, 6297, 711, 547, 936, 268, 1241, 519, 3239, 1040, 16503, 3603, 853, 3558, 6651, 269, 7822, 16103, 540, 2353, 476, 277, 715, 27658, 6272, 585, 563, 293, 5419, 16287, 1907, 568, 606, 6221, 602, 568, 1031, 547, 4734, 513, 1665, 602, 2337, 596, 547, 6330, 950, 22927, 610, 5969, 519, 5958, 269, 4107, 540, 891, 666, 581, 6569, 609, 513, 269, 3962, 1305, 2882, 15273, 527, 921, 6272, 593, 476, 273, 9212, 540, 25529, 543, 853, 3558, 30927, 4483, 11689, 6500, 1957, 269, 3143, 18222, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 32323, 4811, 1299, 670, 15477, 10292, 2464, 1315, 10261, 548, 1740, 1315, 9061, 21178, 3558, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 3848, 476, 1015, 281, 4197, 3776, 30248, 543, 1215, 1358, 18748, 2974, 692, 5970, 596, 2479, 8068, 875, 6972, 11953, 20584, 593, 6632, 6371, 7959, 1114, 982, 6972, 593, 3819, 6371, 286, 22911, 6371, 568, 2571, 543, 536, 25555, 1394, 950, 596, 1900, 593, 621, 1317, 621, 814, 7899, 540, 1216, 269, 901, 568, 1175, 835, 1507, 1383, 540, 875, 938, 1604, 666, 1860, 721, 543, 1346, 1472, 721, 269, 1809, 1705, 596, 917, 602, 972, 616, 1082, 1919, 602, 666, 1764, 875, 649, 1745, 3330, 267, 1932, 286, 1452, 6418, 4606, 616, 1572, 4664, 267, 543, 789, 1404, 513, 2462, 1909, 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 ]
[ 4295, 4066, 616, 26939, 267, 8874, 543, 23541, 602, 2746, 547, 5122, 267, 9804, 610, 6419, 6786, 11251, 538, 26095, 267, 18955, 610, 1875, 2914, 8576, 19135, 3889, 563, 268, 634, 9300, 14769, 5161, 540, 2185, 2516, 540, 3334, 269, 634, 1101, 568, 519, 19135, 8596, 1031, 547, 6895, 2295, 610, 7244, 2557, 269, 634, 2034, 568, 513, 1920, 540, 25801, 13412, 586, 541, 985, 267, 799, 616, 2679, 7161, 538, 585, 1383, 8596, 543, 32144, 338, 269, 1452, 8596, 2874, 540, 25801, 24519, 10687, 22683, 1714, 770, 9593, 545, 22169, 602, 8858, 2242, 538, 5122, 19428, 607, 519, 1570, 568, 21401, 269, 634, 2063, 1895, 540, 3334, 568, 25801, 26781, 602, 8936, 547, 3044, 5907, 28339, 563, 268, 1358, 723, 849, 3323, 476, 274, 323, 546, 1905, 532, 543, 5691, 19703, 4055, 563, 268, 7780, 2100, 568, 513, 22341, 2754, 2870, 5100, 7802, 2472, 676, 10128, 28707, 5907, 1949, 883, 4683, 5957, 563, 268, 4256, 1152, 9250, 1587, 865, 2484, 568, 634, 5901, 15822, 7982, 17569, 1519, 606, 15372, 1062, 1759, 593, 12701, 762, 5907, 1062, 2919, 676, 29163, 594, 313, 300, 543, 513, 17500, 29075, 563, 268, 634, 15372, 1062, 21697, 782, 22836, 543, 952, 789, 616, 8118, 13311, 972, 606, 15372, 3159, 543, 513, 3308, 5365, 540, 2699, 1769, 786, 24633, 519, 3593, 563, 310, 1301, 311, 1496, 310, 1301, 311, 316, 568, 513, 10672, 543, 2733, 12460, 540, 12699, 5679, 26860, 896, 18875, 1062, 269, 634, 2754, 814, 606, 1378, 5001, 1790, 520, 5034, 2029, 585, 8022, 20955, 1572, 3636, 311, 14482, 9592, 543, 968, 917, 875, 892, 543, 4891, 538, 1312, 20955, 543, 11418, 269, 634, 896, 18875, 568, 5679, 26860, 609, 8988, 22862, 26939, 538, 519, 17657, 543, 8405, 2127, 543, 513, 6007, 15841, 593, 519, 22765, 7727, 519, 1379, 563, 268, 5651, 6308, 9546, 12047, 5674, 518, 1496, 310, 531, 12047, 5674, 518, 316, 568, 513, 3703, 270, 23389, 14704, 543, 11653, 4171, 960, 568, 535, 6748, 2029, 267, 1148, 267, 6752, 543, 1374, 269, 9546, 12047, 5674, 518, 3523, 919, 609, 1082, 540, 519, 1283, 16413, 267, 5159, 543, 6752, 543, 14704, 971, 607, 27050, 589, 2784, 267, 681, 8811, 13860, 26036, 572, 514, 30634, 18885, 563, 268, 1306, 513, 851, 540, 519, 16727, 14656, 16008, 9546, 12047, 5674, 518, 22885, 513, 4015, 540, 10896, 11251, 1286, 333, 2526, 24853, 269, 634, 10896, 4646, 8279, 3001, 8195, 609, 519, 2575, 563, 268, 634, 5698, 609, 519, 18368, 9833, 6752, 14704, 26036, 572, 514, 30634, 18885, 814, 8507, 538, 513, 1305, 540, 7802, 9256, 6752, 543, 2029, 563, 268, 634, 8955, 32293, 30996, 880, 4210, 541, 3298, 5652, 24083, 1023, 602, 616, 1219, 21124, 676, 8955, 20832, 269, 634, 3381, 32293, 616, 11251, 609, 476, 5611, 876, 27178, 543, 519, 10571, 10525, 1114, 3623, 17924, 22863, 540, 16142, 538, 519, 4262, 610, 513, 9782, 28480, 543, 1427, 24219, 269, 0, 15575, 532, 519, 1942, 540, 4503, 18375, 538, 3162, 4000, 454, 288, 1032, 3516, 267, 693, 519, 1376, 540, 519, 5046, 268, 866, 6855, 267, 649, 10567, 602, 1153, 5008, 999, 538, 3162, 4000, 1131, 1267, 538, 1565, 9271, 269, 589, 2530, 540, 3346, 1565, 942, 1131, 1291, 547, 2539, 3872, 4093, 267, 543, 519, 9271, 1131, 581, 2362, 538, 1100, 1922, 2465, 3506, 630, 338, 6326, 1453, 689, 1970, 4747, 3885, 264, 982, 538, 13927, 1790, 11691, 3506, 563, 3086, 649, 666, 9337, 875, 1454, 3346, 3450, 942, 729, 4503, 538, 476, 1708, 271, 543, 1118, 606, 968, 514, 11526, 25127, 892, 593, 519, 2179, 540, 1565, 2530, 1759, 593, 2242, 538, 1449, 8464, 1063, 476, 1001, 280, 543, 476, 1708, 271, 563, 10908, 984, 958, 267, 519, 3332, 593, 519, 1764, 540, 519, 6855, 593, 2069, 8711, 1565, 9271, 543, 8519, 26556, 8464, 607, 513, 1267, 540, 1153, 5008, 999, 267, 11097, 2287, 540, 840, 25365, 2069, 13103, 543, 530, 31441, 856, 540, 1565, 12374, 1500, 936, 942, 563, 1103, 3162, 4000, 267, 519, 4728, 476, 1708, 271, 2182, 27579, 3366, 547, 1153, 5008, 999, 543, 519, 20772, 602, 3450, 543, 1565, 1131, 3136, 689, 5321, 269, 12140, 543, 10820, 609, 2200, 941, 1732, 2111, 547, 2844, 1565, 676, 2469, 2228, 563, 23744, 267, 10820, 540, 6267, 538, 1100, 1922, 2465, 3506, 4769, 1406, 723, 1346, 2200, 269, 3509, 1453, 4769, 1406, 723, 513, 9602, 960, 2230, 267, 11380, 267, 2780, 267, 4950, 14479, 267, 610, 3237, 945, 1185, 519, 942, 610, 4390, 547, 27459, 1047, 1565, 563, 18662, 338, 6806, 593, 476, 1691, 4728, 476, 1708, 271, 543, 8120, 538, 513, 588, 698, 13499, 6073, 689, 476, 279, 4873, 476, 1708, 271, 269, 634, 1101, 476, 5379, 2395, 540, 519, 1153, 1032, 267, 840, 6879, 583, 6658, 267, 1223, 581, 11008, 2213, 607, 3339, 18375, 269, 6103, 476, 1321, 630, 325, 1400, 1032, 540, 6281, 1153, 264, 543, 3446, 476, 278, 630, 325, 1400, 1032, 540, 3119, 1153, 264, 6267, 267, 1310, 711, 11504, 1153, 585, 476, 2764, 543, 476, 3451, 2395, 6606, 267, 941, 519, 1101, 547, 2132, 269, 24110, 476, 276, 543, 476, 279, 941, 519, 2063, 547, 2132, 1310, 6267, 1185, 1044, 2476, 689, 1153, 585, 476, 10037, 2395, 563, 16729, 1514, 26865, 10873, 267, 6267, 13984, 1153, 593, 513, 24364, 4493, 267, 930, 593, 14595, 2395, 563, 19733, 30168, 9410, 29775, 2378, 26856, 6059, 602, 519, 5354, 540, 6267, 1223, 723, 4503, 3592, 476, 2568, 260, 540, 741, 3346, 1153, 2395, 1107, 610, 476, 4792, 260, 585, 1453, 538, 519, 2539, 14227, 2516, 563, 763, 6437, 1185, 547, 581, 4389, 543, 556, 6716, 2213, 585, 12032, 538, 476, 1708, 271, 269, 769, 5130, 476, 1708, 272, 267, 476, 2412, 260, 540, 1153, 21246, 1023, 4080, 602, 789, 1185, 711, 6192, 1034, 540, 519, 16013, 4364, 6437, 585, 1034, 5396, 563, 2791, 666, 1224, 519, 2407, 2376, 538, 634, 22062, 566, 1934, 269, 0, 291, 5085, 10499, 267, 13814, 2443, 3245, 29691, 519, 6149, 13486, 540, 519, 715, 24586, 933, 918, 17064, 267, 594, 1413, 1524, 593, 519, 4279, 10369, 12384, 538, 519, 2295, 540, 519, 2025, 4884, 543, 519, 1507, 7122, 540, 10656, 4487, 3967, 21502, 17621, 269, 634, 1279, 267, 7522, 4009, 2630, 608, 26360, 6196, 2622, 19259, 538, 713, 18512, 267, 15982, 4884, 563, 1103, 519, 1647, 540, 519, 4009, 568, 513, 18533, 540, 519, 29632, 626, 18018, 334, 717, 8527, 3780, 267, 5065, 5067, 543, 519, 4651, 540, 3486, 1876, 543, 513, 4207, 540, 21502, 17621, 630, 14321, 273, 268, 4037, 1040, 15907, 519, 4009, 2196, 7522, 267, 25865, 4565, 652, 19861, 267, 12324, 2000, 1441, 10754, 18084, 676, 818, 3481, 13123, 543, 1166, 1678, 539, 676, 19756, 835, 268, 610, 1079, 3613, 800, 15839, 5321, 563, 4263, 519, 4009, 779, 2484, 1439, 6763, 519, 17468, 853, 611, 327, 7572, 610, 16011, 8065, 609, 544, 1638, 16845, 9486, 543, 513, 1286, 650, 517, 602, 2899, 1572, 10034, 15161, 547, 9718, 519, 2749, 269, 4653, 267, 519, 4009, 779, 9205, 22538, 525, 543, 14060, 616, 4904, 563, 1103, 476, 14631, 277, 267, 513, 2540, 1354, 21502, 17621, 267, 17500, 13351, 519, 14869, 548, 1657, 803, 543, 7532, 12798, 22755, 519, 3595, 547, 7404, 22908, 269, 8422, 21144, 2195, 540, 519, 4884, 267, 5176, 476, 273, 267, 4968, 5321, 267, 4682, 909, 538, 26428, 269, 12989, 803, 538, 519, 3579, 5939, 9703, 267, 519, 10656, 28370, 616, 12617, 538, 14969, 6939, 338, 269, 634, 4182, 779, 13653, 267, 5261, 540, 21060, 267, 1634, 607, 5261, 519, 8125, 550, 267, 729, 18272, 3990, 538, 5548, 1111, 543, 729, 12617, 1934, 563, 22013, 1111, 7640, 525, 922, 2012, 547, 519, 2262, 968, 23437, 1324, 892, 610, 519, 20857, 540, 922, 9510, 12324, 269, 744, 8775, 5548, 1111, 2443, 519, 2025, 4884, 2443, 568, 1634, 5001, 585, 922, 4544, 543, 3043, 23907, 267, 5548, 1111, 2264, 269, 4107, 14666, 3643, 5548, 1111, 593, 1554, 15143, 689, 24545, 267, 513, 476, 3393, 18826, 5721, 11878, 2476, 269, 12829, 17631, 946, 713, 2370, 24545, 267, 705, 15929, 609, 23668, 267, 22278, 543, 1273, 878, 1014, 8075, 267, 9602, 10945, 543, 620, 916, 17346, 267, 607, 741, 3490, 269, 3371, 267, 3388, 568, 1369, 6972, 3845, 563, 763, 4884, 729, 8547, 538, 519, 476, 1556, 628, 2540, 267, 8057, 3638, 689, 4123, 538, 519, 476, 1724, 628, 543, 476, 1691, 628, 5553, 543, 1185, 513, 2551, 540, 476, 1839, 267, 1822, 538, 21502, 17621, 779, 1554, 269, 634, 1715, 5783, 267, 7986, 538, 21502, 17621, 779, 1340, 539, 7206, 968, 8698, 540, 5548, 1111, 2223, 729, 3844, 547, 21502, 17621, 779, 1920, 1272, 563, 309, 1069, 17621, 779, 29080, 593, 4239, 269, 476, 4029, 267, 476, 14321, 273, 267, 729, 6592, 538, 519, 1036, 3588, 540, 519, 715, 24586, 933, 918, 17064, 630, 6124, 5783, 1040, 2201, 519, 1482, 2985, 568, 1776, 4583, 5067, 540, 5548, 1111, 267, 20900, 11709, 10557, 17703, 523, 14833, 2131, 267, 519, 23266, 540, 519, 17209, 269, 2986, 519, 476, 276, 5780, 9145, 8554, 646, 3710, 267, 476, 1015, 723, 15068, 563, 309, 1069, 17621, 779, 8560, 814, 865, 1563, 5063, 267, 7064, 547, 3004, 1097, 4258, 1998, 1512, 779, 3209, 267, 968, 294, 20071, 2060, 513, 23421, 661, 18732, 892, 543, 519, 476, 1220, 274, 7260, 1759, 593, 621, 267, 588, 18732, 25753, 27451, 2977, 753, 5459, 607, 519, 9602, 22700, 8004, 543, 2051, 514, 674, 9500, 607, 519, 28430, 7376, 563, 5415, 5063, 267, 519, 1101, 7206, 676, 21502, 17621, 547, 581, 25488, 539, 538, 811, 982, 476, 3199, 1296, 2443, 968, 21930, 19716, 1530, 730, 693, 519, 5164, 326, 1400, 892, 2443, 4421, 693, 590, 6139, 2421, 779, 538, 5507, 585, 1269, 1789, 2929, 269, 634, 7206, 267, 6580, 689, 476, 15757, 271, 267, 2982, 513, 1762, 4807, 27206, 693, 513, 2205, 326, 1400, 267, 513, 1826, 540, 3771, 27923, 7302, 867, 269, 3213, 4532, 1211, 958, 267, 649, 1265, 513, 1820, 540, 621, 538, 938, 18241, 4055, 693, 519, 23392, 21502, 17621, 563, 4913, 267, 621, 568, 21502, 17621, 779, 968, 294, 20071, 2060, 513, 23421, 661, 18732, 892, 602, 6770, 721, 1934, 269, 19402, 1631, 1152, 476, 3374, 10367, 723, 1044, 7608, 607, 13556, 676, 21502, 17621, 267, 945, 729, 711, 513, 30508, 7376, 543, 5747, 1934, 693, 519, 1762, 2085, 540, 476, 6246, 269, 589, 476, 15433, 277, 25488, 17048, 8638, 1614, 4503, 21502, 32580, 2443, 513, 1582, 268, 1636, 11681, 267, 513, 2070, 540, 8075, 543, 513, 9543, 2006, 11067, 1010, 3946, 538, 513, 4055, 609, 18810, 563, 4407, 538, 5548, 1111, 267, 519, 968, 303, 792, 331, 661, 18732, 892, 4670, 729, 4730, 693, 513, 2199, 14364, 269, 634, 4670, 729, 8929, 538, 24006, 10603, 32490, 282, 8806, 835, 1554, 540, 15246, 3576, 1747, 538, 2025, 5548, 1111, 269, 16511, 1023, 1767, 789, 10150, 519, 1433, 855, 941, 14281, 676, 922, 3486, 8560, 563, 7197, 10150, 519, 4670, 267, 609, 31681, 269, 634, 7260, 6799, 519, 4884, 538, 4158, 267, 12457, 18707, 267, 922, 10754, 1396, 339, 1229, 609, 20203, 269, 16511, 1023, 1767, 602, 476, 1704, 628, 10601, 5548, 1111, 1419, 10150, 24106, 543, 602, 922, 10034, 15161, 1185, 513, 10639, 585, 27194, 563, 13202, 630, 297, 2129, 2335, 525, 264, 21502, 17621, 729, 4535, 693, 966, 1245, 619, 6588, 19816, 476, 2537, 267, 1985, 7450, 547, 519, 715, 24586, 933, 918, 17064, 269, 27607, 1296, 2663, 1010, 3237, 11751, 519, 674, 2391, 16737, 26735, 593, 519, 7944, 693, 3143, 269, 476, 1839, 269, 1635, 602, 942, 267, 519, 7376, 779, 4651, 729, 10912, 5128, 28574, 541, 808, 753, 322, 966, 2135, 269, 1261, 1705, 711, 9772, 519, 2012, 21502, 17621, 2394, 476, 13932, 271, 563, 2026, 513, 6107, 267, 21502, 17621, 8057, 909, 609, 513, 3444, 16687, 540, 10034, 27714, 269, 3571, 4651, 267, 513, 10805, 1148, 31066, 267, 4440, 7608, 11247, 538, 8569, 585, 12014, 267, 2663, 1191, 29818, 873, 269, 10656, 3276, 326, 1667, 538, 519, 476, 1704, 628, 2540, 6068, 10367, 267, 543, 1082, 10656, 5159, 3812, 827, 476, 2004, 666, 341, 1162, 513, 1032, 563, 763, 17557, 21502, 17621, 10736, 547, 30871, 950, 646, 9310, 6869, 541, 2088, 12157, 5886, 269, 1261, 4440, 1705, 713, 547, 14183, 1010, 3993, 2987, 25237, 267, 12756, 774, 1231, 269, 2368, 5640, 1533, 646, 1590, 723, 1044, 2653, 4707, 547, 1020, 513, 6109, 2078, 609, 713, 2352, 4807, 269, 16828, 267, 1352, 3838, 1200, 1753, 543, 4747, 609, 21502, 17621, 779, 1804, 1920, 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 ]
[ 0, 763, 16423, 2494, 540, 10430, 454, 2005, 781, 711, 513, 5360, 2939, 950, 1010, 30256, 1289, 1864, 519, 16423, 2494, 269, 6754, 700, 3563, 267, 9100, 3218, 540, 513, 3579, 11278, 2004, 28985, 19539, 689, 1010, 3237, 262, 11647, 5832, 267, 631, 293, 296, 267, 814, 1831, 519, 1034, 4938, 26448, 4412, 9426, 540, 17370, 843, 532, 10430, 814, 2938, 267, 855, 1010, 4566, 616, 1543, 1190, 563, 296, 3055, 602, 513, 15913, 945, 1500, 11647, 689, 535, 8215, 4054, 814, 838, 1177, 2740, 513, 812, 945, 6499, 547, 2285, 782, 602, 16025, 1394, 547, 2470, 281, 538, 519, 2063, 4557, 1296, 646, 814, 12630, 476, 12010, 267, 1822, 4054, 267, 5631, 12566, 543, 581, 3663, 547, 948, 32543, 28558, 519, 3312, 3529, 23752, 5251, 602, 11478, 538, 519, 942, 540, 519, 14564, 563, 5472, 611, 1446, 267, 476, 2537, 267, 1822, 14143, 540, 19069, 538, 590, 9801, 1633, 267, 2907, 8383, 919, 31459, 540, 7823, 533, 23888, 267, 1164, 1633, 12418, 267, 543, 952, 596, 2628, 513, 9645, 2040, 540, 2724, 596, 1522, 1294, 513, 6204, 837, 540, 3552, 1630, 541, 7708, 339, 1154, 998, 519, 896, 29115, 267, 610, 513, 1390, 606, 1479, 1042, 1714, 330, 533, 3183, 922, 9224, 1063, 519, 4054, 563, 1607, 1032, 1498, 700, 3563, 4566, 547, 2253, 5123, 835, 540, 1010, 10700, 1788, 267, 18896, 32543, 3174, 269, 1261, 30242, 547, 20545, 1055, 513, 1804, 15395, 585, 519, 20384, 267, 723, 606, 3355, 3640, 540, 4557, 547, 12964, 2831, 267, 543, 7747, 936, 942, 741, 1198, 593, 519, 5251, 269, 1403, 713, 568, 3811, 267, 543, 621, 568, 513, 5010, 14679, 267, 646, 13922, 621, 786, 2333, 14666, 543, 6009, 538, 519, 1858, 563, 26469, 700, 3563, 12034, 519, 2132, 540, 1804, 11975, 899, 20384, 607, 513, 3070, 547, 519, 1082, 2042, 602, 2291, 538, 519, 5117, 607, 621, 568, 693, 1459, 281, 3186, 8494, 2213, 936, 5553, 676, 519, 4853, 4838, 543, 1079, 1158, 10617, 267, 6928, 20761, 543, 519, 27606, 540, 519, 3703, 7276, 269, 2353, 519, 5065, 4054, 941, 22872, 1524, 547, 3028, 812, 779, 30331, 822, 1023, 543, 9039, 4562, 5896, 269, 2701, 788, 543, 13650, 723, 7139, 11717, 730, 267, 4189, 1018, 4057, 3529, 22534, 2611, 267, 6028, 519, 10575, 1343, 3168, 899, 513, 6367, 1782, 3039, 1141, 2899, 789, 941, 4988, 609, 4104, 563, 1692, 1281, 713, 9305, 547, 20384, 596, 949, 2307, 286, 7982, 538, 476, 1960, 276, 31803, 5244, 32543, 22004, 20384, 543, 519, 2360, 593, 3529, 2208, 723, 1044, 27313, 14259, 1076, 269, 634, 20384, 6417, 519, 13650, 2551, 811, 6707, 982, 1480, 524, 1638, 532, 15961, 1185, 2943, 7307, 267, 543, 585, 1454, 1447, 1942, 269, 23225, 518, 13650, 5921, 811, 3529, 2208, 269, 3973, 3357, 519, 7096, 22545, 593, 1198, 602, 1100, 835, 1185, 546, 1563, 547, 5326, 281, 811, 4054, 16138, 1639, 811, 7786, 267, 2799, 2338, 540, 5017, 267, 543, 2799, 519, 3165, 267, 799, 899, 547, 838, 11921, 538, 695, 8014, 7297, 269, 901, 9415, 519, 581, 28316, 267, 20883, 267, 20641, 543, 782, 6073, 540, 6263, 28869, 344, 17875, 15533, 602, 2661, 538, 519, 19659, 540, 15468, 4054, 269, 4653, 31803, 5244, 19646, 811, 9265, 982, 2479, 269, 1924, 519, 2963, 547, 1489, 18896, 32543, 3174, 814, 1044, 11566, 563, 3719, 267, 543, 972, 779, 2141, 513, 855, 267, 538, 519, 2136, 8003, 4743, 512, 2931, 9244, 538, 519, 6587, 4287, 269, 700, 1575, 22785, 8255, 2620, 538, 519, 3703, 1772, 956, 269, 898, 1102, 3949, 938, 21543, 2984, 269, 634, 782, 1821, 28666, 18896, 945, 2220, 718, 3298, 20516, 338, 543, 782, 855, 519, 1579, 3164, 560, 540, 14918, 568, 1869, 513, 20013, 538, 519, 2984, 649, 2995, 938, 1396, 339, 23057, 3283, 267, 5310, 585, 1434, 2601, 269, 769, 938, 4130, 10195, 267, 3379, 547, 519, 5318, 1930, 5624, 540, 3013, 610, 2342, 267, 972, 568, 1447, 4055, 585, 3484, 2831, 543, 3552, 18896, 24502, 547, 1071, 7721, 626, 1510, 2530, 540, 13184, 563, 1103, 16157, 267, 1141, 561, 2106, 343, 723, 1044, 32543, 22004, 267, 519, 2229, 814, 1185, 547, 2628, 13180, 15004, 547, 6705, 585, 519, 2530, 540, 909, 547, 476, 1015, 267, 1822, 13265, 547, 2261, 7596, 532, 561, 2106, 343, 269, 901, 267, 2687, 547, 1382, 267, 568, 519, 9868, 547, 606, 6382, 30050, 1966, 267, 607, 21785, 13265, 1185, 606, 2025, 4356, 540, 887, 5446, 2620, 883, 18137, 2394, 519, 561, 2106, 343, 3357, 269, 18227, 13265, 538, 11700, 17007, 11527, 8460, 519, 1966, 14320, 269, 1809, 519, 12194, 540, 938, 17215, 21401, 6705, 616, 972, 543, 723, 547, 581, 7059, 1996, 519, 2318, 2360, 269, 2334, 1044, 1767, 267, 952, 9170, 538, 6628, 568, 1655, 5116, 585, 17370, 843, 532, 267, 621, 568, 519, 6552, 1164, 4133, 540, 10430, 267, 2476, 689, 782, 14021, 2127, 540, 5010, 8105, 563, 763, 824, 543, 8449, 10978, 1843, 542, 568, 547, 700, 3563, 781, 1544, 540, 535, 9760, 1055, 1804, 2127, 540, 2353, 611, 1446, 267, 1519, 3802, 619, 262, 10092, 547, 19644, 2694, 540, 519, 4400, 1633, 5251, 269, 10430, 781, 1318, 547, 887, 600, 9086, 568, 3905, 569, 29846, 267, 855, 700, 3563, 2306, 14763, 1934, 609, 1010, 1085, 987, 532, 10182, 547, 1004, 6972, 936, 2244, 646, 15109, 547, 581, 1010, 4357, 3959, 269, 6904, 568, 1732, 267, 13187, 700, 3563, 267, 513, 4627, 1007, 9235, 6009, 538, 606, 17215, 20158, 1858, 267, 610, 519, 2924, 540, 513, 19625, 540, 3802, 619, 286, 898, 568, 606, 796, 4818, 668, 2358, 4661, 799, 1004, 4250, 1522, 5000, 824, 1804, 2244, 14935, 547, 556, 1922, 775, 519, 24781, 563, 7212, 6754, 700, 3563, 568, 14221, 547, 1205, 1010, 1788, 6368, 1055, 519, 2666, 910, 621, 814, 2907, 1044, 27185, 19861, 2094, 476, 1001, 271, 910, 6424, 7195, 9618, 787, 267, 10430, 8689, 540, 519, 17493, 267, 25166, 843, 532, 6628, 267, 568, 811, 2235, 4548, 1051, 269, 1261, 1281, 711, 2503, 547, 1294, 20384, 5189, 547, 10430, 538, 1010, 10715, 269, 2368, 7447, 621, 786, 1491, 1079, 5481, 547, 3094, 12271, 543, 8186, 936, 547, 519, 2856, 540, 20384, 538, 519, 4400, 4133, 267, 1498, 22118, 343, 32543, 3174, 538, 519, 2282, 2104, 568, 513, 10853, 19175, 563, 2171, 4927, 1294, 952, 6004, 700, 3563, 267, 513, 812, 540, 9645, 8990, 267, 4991, 1010, 1259, 269, 4634, 952, 646, 3085, 1405, 267, 2367, 899, 700, 3563, 616, 519, 6094, 1439, 540, 519, 530, 8354, 267, 519, 4098, 540, 513, 4838, 538, 3206, 799, 786, 5531, 11610, 269, 4634, 519, 18762, 6004, 7195, 9618, 787, 26195, 2888, 513, 2104, 538, 799, 1010, 18939, 616, 811, 538, 19820, 609, 513, 17370, 843, 539, 5251, 267, 543, 1256, 267, 646, 5267, 267, 811, 8746, 607, 513, 1004, 1317, 540, 17370, 843, 532, 563, 1432, 798, 596, 1589, 286, 5620, 707, 2161, 538, 519, 8292, 2630, 269, 0, 8702, 547, 561, 748, 344, 23116, 1260, 267, 513, 1863, 2228, 4199, 547, 2087, 707, 1603, 1983, 543, 948, 596, 2328, 1732, 621, 568, 2653, 547, 1451, 875, 547, 2328, 7157, 649, 991, 1152, 476, 273, 267, 1822, 1114, 1913, 607, 851, 540, 938, 6863, 269, 3245, 840, 1606, 564, 1603, 12987, 3755, 1451, 547, 1020, 606, 2856, 543, 2328, 741, 10855, 267, 13181, 543, 10388, 3594, 519, 3135, 2488, 2228, 7317, 5751, 602, 3391, 3755, 1900, 676, 1900, 998, 840, 2914, 3876, 267, 1603, 267, 12180, 267, 11049, 267, 556, 8586, 267, 543, 13629, 269, 769, 519, 711, 3562, 334, 1673, 9665, 2104, 267, 1603, 3009, 949, 581, 607, 28125, 607, 17511, 543, 824, 3029, 540, 1257, 268, 651, 3539, 616, 2221, 1565, 875, 547, 3009, 814, 2760, 1044, 4443, 269, 1306, 6362, 2328, 1250, 1557, 585, 10464, 2228, 16926, 519, 1655, 1557, 5856, 543, 1205, 707, 960, 2944, 538, 606, 3108, 1451, 543, 10802, 1702, 568, 519, 1390, 6561, 602, 4586, 2080, 547, 948, 1565, 781, 18954, 1603, 1982, 568, 14222, 1603, 6044, 585, 9344, 476, 272, 268, 277, 269, 476, 1015, 1655, 1603, 7270, 585, 3214, 602, 707, 1126, 666, 946, 538, 1362, 607, 1134, 607, 1753, 585, 741, 10467, 543, 6780, 3214, 1451, 547, 5816, 269, 6258, 5363, 4388, 547, 2087, 707, 1603, 609, 519, 2228, 3391, 547, 1603, 689, 6280, 540, 29827, 1633, 6280, 2852, 269, 6258, 547, 1118, 707, 1557, 1603, 2500, 676, 3771, 5407, 2206, 327, 476, 2735, 279, 5784, 621, 2337, 547, 2087, 707, 1557, 1603, 1983, 543, 1118, 946, 540, 2500, 7005, 1913, 547, 1118, 707, 3594, 2500, 543, 3035, 1434, 476, 1408, 1206, 6060, 563, 9596, 875, 547, 2328, 606, 7291, 585, 1022, 1826, 540, 1788, 281, 513, 1433, 267, 1557, 267, 1382, 1957, 267, 6881, 267, 610, 2376, 476, 5379, 332, 476, 1240, 338, 3617, 585, 782, 15118, 476, 1691, 267, 476, 1001, 279, 5784, 476, 1556, 267, 22724, 12744, 1576, 269, 476, 1015, 2228, 2645, 585, 3214, 547, 2087, 1603, 1983, 676, 15567, 773, 533, 4394, 523, 1923, 593, 949, 476, 3066, 267, 476, 1001, 276, 1923, 538, 2238, 585, 3214, 2073, 1126, 1646, 2073, 19033, 779, 7944, 2073, 6780, 948, 2073, 1565, 2073, 3158, 779, 7944, 2073, 15970, 2073, 2542, 8223, 2073, 1153, 269, 2048, 31095, 1650, 9248, 585, 1453, 685, 568, 519, 1158, 779, 1034, 2442, 2228, 1576, 2966, 585, 4896, 945, 814, 2479, 26927, 3139, 540, 1603, 1453, 779, 2984, 2436, 596, 1616, 519, 6284, 543, 8007, 540, 4742, 513, 1655, 18522, 1453, 779, 2278, 610, 267, 519, 2241, 7772, 543, 9547, 540, 10508, 532, 519, 1453, 538, 707, 1272, 1107, 713, 8366, 20421, 1576, 3947, 596, 3388, 596, 991, 547, 2328, 4586, 2237, 1250, 1557, 2228, 585, 10464, 1354, 519, 21120, 649, 1616, 547, 1397, 1762, 1004, 602, 1565, 3085, 1406, 16783, 9003, 547, 1603, 11995, 4574, 543, 8600, 585, 1547, 4804, 547, 2328, 14828, 972, 616, 1082, 2081, 543, 4025, 547, 1451, 547, 2328, 14828, 267, 2523, 1934, 538, 519, 22070, 596, 666, 1224, 1570, 593, 7270, 267, 11578, 585, 1357, 6030, 267, 1224, 2835, 267, 610, 7390, 5049, 269, 476, 1839, 1863, 2228, 6030, 547, 2087, 707, 1603, 1983, 538, 713, 1576, 267, 596, 3580, 1451, 782, 827, 4081, 1557, 1603, 543, 267, 4481, 267, 875, 547, 2328, 1614, 2010, 1547, 476, 1240, 3532, 7270, 547, 2087, 707, 7005, 1603, 1983, 543, 1131, 899, 547, 1445, 593, 1557, 2914, 3876, 267, 3584, 1644, 547, 1893, 1565, 267, 1519, 1603, 4586, 763, 3138, 1111, 5339, 4099, 3091, 513, 2647, 5044, 540, 2228, 3860, 1603, 5049, 602, 666, 581, 3144, 689, 9170, 1175, 899, 3068, 3562, 19904, 5049, 267, 519, 3138, 1111, 779, 5692, 585, 2228, 5049, 568, 547, 1628, 2178, 4296, 1851, 5830, 269, 6736, 519, 1249, 602, 267, 607, 12335, 1767, 267, 519, 4050, 568, 1522, 1512, 982, 519, 18156, 267, 519, 4050, 3294, 568, 711, 2614, 547, 1118, 606, 2500, 5856, 538, 1249, 267, 1498, 649, 949, 782, 899, 547, 1589, 540, 6000, 607, 519, 1985, 12335, 267, 6667, 4805, 568, 711, 519, 1883, 547, 2500, 1557, 1603, 269, 2296, 476, 6200, 281, 4367, 547, 2852, 1603, 1053, 1451, 875, 547, 4497, 609, 513, 3099, 540, 5931, 267, 875, 547, 1174, 513, 5856, 779, 4661, 267, 543, 875, 547, 8362, 1547, 3194, 1299, 1603, 585, 10467, 6280, 10467, 616, 513, 2462, 4161, 267, 855, 649, 666, 3391, 596, 1205, 948, 609, 782, 3344, 540, 707, 7084, 267, 689, 1382, 547, 1603, 563, 15697, 1565, 2640, 1557, 2228, 1565, 2640, 1557, 543, 875, 547, 2328, 1034, 13151, 525, 21459, 5098, 812, 1134, 267, 7329, 1732, 1376, 4974, 538, 3178, 610, 1603, 538, 513, 21318, 540, 2147, 5686, 540, 1557, 1565, 2228, 2640, 7239, 267, 519, 4630, 1108, 4661, 10416, 6811, 602, 536, 1157, 9007, 267, 14739, 514, 543, 2156, 1188, 269, 5192, 3388, 596, 991, 547, 14736, 1055, 707, 1603, 2259, 1934, 610, 6148, 596, 1175, 1616, 547, 1205, 1732, 9344, 538, 707, 1557, 1603, 1451, 689, 519, 1390, 5830, 4586, 9596, 875, 547, 2057, 1455, 21342, 6959, 267, 2744, 1983, 585, 3384, 606, 4661, 543, 1205, 3407, 1995, 1603, 267, 11049, 543, 6169, 15105, 3594, 713, 1576, 568, 3501, 585, 1053, 602, 616, 8600, 547, 4019, 585, 2852, 610, 945, 6999, 547, 1020, 2500, 2854, 2792, 1983, 269, 6657, 1557, 1603, 2228, 609, 891, 2200, 602, 1628, 1983, 538, 875, 547, 2328, 513, 5098, 3948, 267, 875, 547, 2328, 606, 4367, 267, 543, 811, 609, 891, 1863, 1557, 1603, 2200, 269, 7427, 891, 3268, 950, 1603 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1626, 267, 476, 1001, 279, 267, 476, 4962, 281, 3451, 281, 7367, 7537, 19314, 785, 10128, 3815, 543, 1287, 513, 2489, 3070, 540, 744, 14701, 454, 17961, 346, 3225, 566, 265, 8679, 315, 15927, 331, 263, 272, 14870, 344, 317, 273, 268, 273, 343, 317, 273, 344, 315, 15927, 337, 264, 910, 1422, 15927, 331, 263, 273, 343, 317, 273, 344, 21147, 317, 274, 315, 15927, 337, 264, 586, 262, 284, 271, 563, 17910, 346, 3225, 566, 265, 10926, 9827, 267, 1265, 513, 3070, 17598, 1269, 344, 263, 272, 6661, 272, 16859, 2971, 808, 328, 23042, 328, 4437, 692, 1892, 12789, 269, 16588, 454, 1892, 24762, 281, 476, 278, 454, 1892, 918, 12609, 281, 476, 1015, 454, 7462, 1234, 281, 570, 307, 272, 9046, 476, 272, 630, 12898, 12158, 994, 26872, 31400, 1948, 272, 593, 281, 5239, 476, 1626, 267, 476, 1001, 279, 267, 476, 6021, 281, 6078, 281, 4366, 7537, 19314, 1877, 568, 1250, 3070, 692, 2971, 2098, 6062, 5984, 7200, 692, 1892, 12789, 269, 16588, 454, 1892, 24762, 281, 476, 1321, 454, 1892, 918, 12609, 281, 476, 1321, 454, 7462, 1234, 281, 570, 307, 272, 9046, 476, 272, 630, 12898, 12158, 994, 26872, 31400, 1948, 273, 593, 281, 5239, 476, 1626, 267, 476, 1001, 279, 267, 476, 6021, 281, 2004, 281, 4391, 7537, 19314, 259, 300, 14729, 284, 910, 273, 344, 343, 268, 273, 343, 317, 273, 14204, 259, 301, 13448, 284, 910, 275, 15383, 910, 274, 343, 317, 273, 6911, 300, 259, 318, 344, 259, 4399, 928, 336, 259, 715, 259, 318, 343, 259, 865, 519, 3312, 3830, 568, 711, 3169, 692, 4131, 4399, 14153, 259, 1152, 5673, 593, 1535, 692, 7445, 14153, 21948, 343, 7751, 815, 4399, 2765, 346, 300, 14729, 910, 715, 13448, 2410, 301, 4151, 4399, 14153, 3287, 22491, 7445, 14153, 21948, 343, 7751, 1109, 815, 4399, 2765, 24877, 273, 15383, 910, 273, 343, 317, 273, 1341, 476, 275, 15383, 1341, 476, 274, 343, 317, 273, 25452, 268, 343, 263, 273, 15383, 1341, 1535, 317, 273, 264, 4151, 1109, 4399, 14153, 3287, 22491, 7445, 14153, 21948, 343, 7751, 1109, 815, 4399, 2765, 24877, 272, 2410, 343, 4151, 4399, 14153, 3287, 22491, 7445, 14153, 3287, 7751, 815, 4399, 2765, 346, 272, 2410, 343, 10592, 20123, 17586, 4399, 14153, 3287, 7751, 547, 1312, 2427, 1384, 263, 7445, 2765, 346, 272, 2410, 343, 4151, 910, 1269, 344, 317, 273, 259, 910, 273, 15383, 264, 910, 263, 273, 15383, 1341, 1269, 343, 317, 273, 259, 7751, 344, 262, 259, 815, 476, 271, 1109, 5231, 630, 3086, 631, 259, 318, 344, 259, 815, 715, 259, 318, 343, 8961, 3830, 568, 3169, 2020, 2467, 2291, 4399, 27923, 3287, 11971, 7751, 1109, 588, 692, 11377, 27923, 3287, 267, 586, 264, 815, 1422, 842, 3189, 2765, 346, 272, 2410, 343, 348, 910, 586, 317, 273, 910, 476, 273, 15383, 348, 1422, 3387, 2135, 18097, 26507, 815, 1422, 15238, 1535, 910, 27976, 317, 273, 910, 343, 317, 273, 344, 1341, 554, 12169, 14638, 454, 11377, 2765, 3189, 14783, 1422, 27923, 7346, 14783, 586, 348, 815, 910, 273, 344, 343, 910, 1535, 317, 273, 1341, 554, 21948, 343, 264, 815, 910, 273, 15383, 910, 1535, 317, 273, 16465, 11377, 3387, 2135, 346, 11997, 267, 7684, 554, 21948, 343, 264, 1422, 16524, 21375, 554, 3287, 264, 815, 524, 9681, 11377, 15238, 1535, 910, 27976, 317, 273, 910, 1535, 317, 273, 344, 815, 524, 2330, 11693, 3230, 344, 263, 272, 264, 815, 476, 272, 2330, 950, 3230, 343, 815, 476, 272, 267, 586, 815, 476, 272, 2330, 971, 602, 4399, 15238, 476, 272, 910, 476, 272, 910, 476, 272, 815, 524, 267, 1422, 11004, 1150, 524, 815, 910, 273, 259, 6695, 15238, 1535, 910, 27976, 317, 273, 910, 1535, 317, 273, 586, 815, 910, 273, 16465, 26872, 7831, 22478, 281, 5239, 476, 1626, 267, 476, 1001, 279, 267, 476, 6021, 281, 6321, 281, 2420, 7537, 676, 2098, 6062, 5984, 7200, 9732, 0, 258, 1215, 798, 596, 14458, 476, 630, 273, 266, 6912, 3287, 4297, 1315, 630, 6912, 263, 273, 1535, 11924, 6912, 263, 279, 4297, 26042, 7445, 6912, 346, 273, 10592, 2971, 19247, 1384, 2691, 2324, 513, 1966, 971, 607, 713, 267, 1832, 538, 2247, 602, 952, 649, 1491, 1945, 630, 3697, 938, 14009, 264, 602, 814, 519, 1106, 540, 1269, 320, 1341, 536, 8961, 649, 666, 9062, 676, 1269, 320, 910, 536, 259, 543, 649, 3513, 1439, 909, 609, 20270, 320, 8703, 273, 348, 910, 2715, 321, 8703, 273, 23201, 1656, 865, 1384, 7445, 2765, 346, 273, 1341, 1422, 6912, 12757, 24828, 6912, 346, 273, 1535, 348, 1341, 1422, 6912, 346, 279, 3686, 1422, 3847, 263, 272, 9368, 22491, 7445, 2765, 346, 273, 1341, 1422, 6912, 12757, 24828, 6912, 346, 273, 1535, 348, 1341, 1422, 6912, 346, 279, 3686, 1422, 3847, 7268, 2765, 3189, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 24828, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 14990, 2431, 22491, 7445, 2765, 3189, 3847, 263, 273, 1341, 1422, 6912, 12757, 4153, 2431, 264, 1422, 3847, 7268, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 4153, 2431, 264, 7346, 3847, 7268, 6912, 346, 273, 1535, 348, 1341, 1422, 6912, 346, 279, 4153, 2431, 264, 1422, 3847, 7268, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 4153, 2431, 264, 10592, 7445, 2765, 346, 273, 1422, 6912, 346, 273, 1535, 348, 910, 476, 273, 1422, 6912, 346, 279, 348, 1341, 1422, 6912, 12757, 348, 1422, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 12757, 348, 1422, 6912, 346, 279, 12453, 273, 1535, 910, 476, 279, 10592, 3086, 585, 930, 5187, 2305, 538, 519, 19362, 269, 5457, 602, 4399, 6912, 346, 279, 348, 815, 476, 273, 1422, 6912, 346, 273, 4151, 1384, 7445, 2765, 346, 273, 1422, 6912, 346, 273, 1535, 348, 910, 476, 273, 1422, 3847, 263, 273, 1422, 6912, 346, 273, 4153, 2431, 264, 1341, 1422, 6912, 346, 273, 2715, 343, 8703, 273, 3686, 910, 476, 273, 1422, 6912, 346, 273, 1535, 12453, 273, 1535, 910, 476, 279, 10592, 7445, 2765, 24877, 476, 275, 1422, 6912, 346, 273, 348, 1341, 1535, 1422, 6912, 346, 273, 12453, 273, 1535, 910, 476, 279, 10592, 7445, 2765, 3189, 6912, 346, 273, 348, 1422, 3847, 3287, 910, 476, 275, 9368, 20972, 273, 1422, 3847, 3287, 910, 476, 275, 9368, 264, 10592, 7445, 2765, 3189, 6912, 346, 273, 12453, 273, 10592, 8855, 602, 12276, 3847, 7268, 10975, 1422, 6912, 346, 273, 4153, 2431, 264, 8703, 273, 348, 815, 476, 273, 6911, 7445, 2765, 3189, 6912, 346, 273, 24828, 6912, 346, 273, 3686, 9745, 476, 273, 815, 1422, 6912, 346, 273, 10592, 663, 692, 7445, 2765, 3189, 6912, 346, 273, 12453, 268, 1422, 6912, 346, 273, 3686, 9745, 476, 273, 815, 1422, 6912, 346, 273, 10592, 19878, 476, 273, 267, 476, 1001, 279, 692, 7445, 2765, 3189, 6912, 346, 273, 12453, 273, 348, 815, 1422, 2765, 346, 272, 7346, 6912, 346, 273, 32556, 2971, 19247, 1384, 11693, 281, 4399, 2765, 346, 273, 1341, 1422, 6912, 12757, 24828, 6912, 346, 273, 1535, 348, 1341, 1422, 6912, 346, 279, 32556, 11372, 17586, 1312, 519, 19362, 543, 519, 14009, 676, 519, 31669, 540, 519, 14009, 267, 799, 568, 10416, 14921, 519, 4082, 676, 1269, 272, 16859, 763, 31669, 568, 513, 3815, 602, 950, 16611, 267, 666, 26118, 519, 1647, 2165, 269, 634, 31669, 540, 4399, 6912, 346, 273, 1535, 348, 1341, 1422, 6912, 346, 279, 4151, 568, 4399, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 348, 1547, 6911, 7445, 2765, 346, 273, 1341, 1422, 6912, 12757, 24828, 6912, 346, 273, 1535, 348, 1341, 1422, 6912, 346, 279, 3686, 1422, 10383, 1422, 2765, 3189, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 24828, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 32556, 259, 284, 1422, 2765, 346, 273, 1422, 6912, 346, 273, 1535, 348, 910, 476, 273, 1422, 6912, 346, 279, 348, 1341, 1422, 6912, 12757, 348, 1422, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 12757, 348, 1422, 6912, 346, 279, 24828, 6912, 346, 273, 1535, 348, 1422, 6912, 346, 273, 1535, 348, 910, 1422, 6912, 346, 279, 348, 1422, 6912, 346, 279, 32556, 8196, 519, 7101, 673, 3652, 281, 21762, 5416, 264, 6912, 6357, 264, 815, 21762, 263, 629, 5148, 834, 834, 6912, 3287, 264, 6912, 3287, 264, 815, 21762, 3287, 317, 273, 264, 815, 1535, 692, 8245, 680, 1518, 4399, 6912, 346, 279, 348, 2433, 1422, 3667, 346, 7684, 1422, 6912, 346, 279, 348, 815, 1422, 6912, 346, 275, 1422, 10383, 476, 273, 348, 815, 1422, 6912, 346, 275, 348, 1422, 6912, 346, 273, 348, 815, 476, 273, 1422, 6912, 346, 273, 10592, 259, 284, 1422, 2765, 3189, 322, 30327, 346, 273, 1422, 6912, 346, 273, 1535, 3686, 910, 476, 273, 1422, 10383, 476, 273, 1422, 6912, 346, 273, 348, 1341, 1535, 1422, 6912, 346, 273, 348, 1422, 322, 30327, 24877, 476, 273, 1422, 6912, 346, 273, 1535, 3686, 7346, 6912, 346, 275, 2715, 343, 8703, 273, 3686, 910, 1422, 6912, 346, 5038, 32556, 259, 284, 1422, 2765, 24877, 476, 275, 1422, 6912, 346, 273, 348, 1341, 1535, 1422, 6912, 346, 273, 12453, 273, 1535, 910, 476, 279, 348, 815, 1422, 2765, 12757, 1422, 6912, 346, 273, 348, 910, 476, 275, 1422, 6912, 346, 273, 12453, 273, 1535, 910, 476, 279, 10592, 15542, 528, 281, 4399, 3667, 346, 7684, 1422, 2765, 3189, 6912, 346, 273, 348, 1422, 322, 30327, 12757, 910, 476, 275, 12453, 273, 1422, 322, 30327, 12757, 910, 476, 275, 32556, 7445, 2765, 346, 273, 1341, 1422, 6912, 12757, 24828, 6912, 346, 273, 1535, 348, 1341, 1422, 6912, 346, 279, 3686, 815, 1422, 2765, 3189, 6912, 346, 273, 12453, 273, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4737, 6152, 267, 1141, 1142, 3693, 568, 519, 32412, 2862, 3009, 540, 519, 7222, 1591, 538, 2909, 4068, 269, 7305, 476, 273, 2982, 519, 32412, 2862, 9479, 540, 519, 4557, 9704, 540, 519, 8918, 1062, 563, 258, 3097, 258, 8206, 26514, 263, 637, 1545, 15828, 629, 276, 318, 273, 10422, 7582, 2020, 258, 769, 5124, 267, 596, 666, 3489, 519, 32412, 2862, 3009, 540, 513, 1915, 676, 1210, 519, 1739, 630, 1721, 454, 258, 1383, 609, 519, 1347, 1412, 276, 10807, 2387, 867, 3488, 276, 10807, 18269, 1411, 666, 849, 2638, 1018, 1915, 454, 258, 568, 6383, 676, 606, 32412, 2862, 3009, 676, 1210, 2387, 577, 337, 263, 7871, 23375, 799, 786, 538, 713, 2013, 2132, 476, 276, 269, 6423, 454, 258, 5291, 2517, 4178, 269, 30913, 3386, 2593, 270, 585, 811, 1344, 593, 32412, 2862, 7515, 780, 258, 769, 314, 276, 28660, 454, 3698, 1250, 24154, 4068, 273, 3008, 290, 2862, 263, 3630, 4068, 2187, 825, 8173, 825, 21188, 1250, 24154, 4068, 273, 3008, 290, 2862, 31912, 314, 272, 267, 271, 25662, 271, 267, 271, 25662, 271, 267, 271, 316, 25662, 314, 272, 267, 271, 25662, 271, 267, 272, 25662, 271, 267, 271, 316, 25662, 314, 272, 267, 272, 25662, 271, 267, 271, 25662, 271, 267, 271, 316, 25662, 314, 272, 267, 272, 25662, 272, 267, 271, 25662, 271, 267, 271, 14963, 7481, 825, 1496, 5392, 267, 476, 7871, 267, 476, 7906, 267, 476, 7918, 6540, 825, 2433, 12407, 2909, 4068, 281, 2909, 4068, 17683, 454, 825, 2433, 8873, 281, 607, 857, 328, 454, 825, 8173, 825, 1297, 815, 1250, 24154, 4068, 273, 291, 19302, 263, 3630, 4068, 994, 825, 1297, 1598, 815, 1193, 28840, 2020, 825, 562, 5091, 580, 1080, 815, 7003, 28840, 1598, 994, 825, 32412, 2862, 815, 29129, 825, 585, 1775, 538, 2039, 3799, 5091, 580, 1080, 2187, 1038, 32412, 2862, 6910, 263, 867, 28840, 1598, 5157, 8079, 2020, 825, 2132, 32412, 2862, 7531, 258, 12361, 7726, 476, 274, 281, 23030, 11269, 540, 9981, 454, 258, 3097, 258, 1703, 616, 1082, 2081, 547, 2099, 9981, 538, 9352, 3898, 630, 328, 4318, 269, 609, 1152, 21325, 543, 3283, 1916, 258, 769, 713, 1966, 267, 649, 1152, 2015, 476, 279, 19229, 11269, 281, 1142, 8870, 786, 581, 6719, 538, 454, 258, 9352, 3898, 676, 513, 5311, 540, 476, 279, 21325, 543, 5924, 3283, 269, 1411, 786, 1451, 543, 946, 1614, 1114, 454, 258, 9352, 11269, 585, 9981, 281, 834, 12584, 11220, 6041, 2580, 834, 338, 793, 2173, 1725, 3363, 6041, 2580, 543, 834, 18314, 781, 9148, 6041, 2668, 3962, 540, 891, 11269, 568, 2143, 454, 258, 2630, 563, 258, 3097, 258, 769, 519, 5667, 11220, 6041, 267, 1142, 3787, 4564, 513, 1379, 540, 476, 273, 267, 689, 1269, 273, 317, 271, 259, 630, 2431, 8894, 258, 1034, 3787, 264, 547, 1269, 273, 317, 278, 259, 630, 3847, 2173, 739, 3787, 1040, 1280, 1383, 267, 519, 9352, 6041, 476, 9826, 9826, 876, 4564, 454, 258, 519, 8870, 1269, 273, 317, 273, 1341, 476, 273, 317, 276, 815, 476, 3607, 8961, 543, 519, 9352, 6041, 476, 9340, 18089, 876, 4564, 519, 8870, 454, 258, 1269, 273, 317, 278, 266, 273, 317, 277, 266, 273, 317, 276, 266, 273, 317, 274, 815, 476, 22446, 10608, 8074, 602, 2942, 9981, 3112, 581, 6719, 609, 519, 5667, 11220, 454, 258, 6041, 563, 258, 3097, 258, 769, 519, 9896, 2173, 1725, 3363, 6041, 267, 519, 2451, 2173, 739, 3787, 4564, 519, 1129, 540, 519, 454, 258, 8870, 269, 1403, 519, 2451, 2173, 739, 3787, 568, 476, 271, 267, 1287, 519, 8870, 568, 2318, 269, 1403, 519, 2451, 2173, 739, 3787, 568, 476, 272, 2676, 258, 1287, 519, 8870, 568, 2942, 269, 634, 824, 11353, 2099, 519, 9588, 540, 519, 8870, 267, 1142, 454, 258, 3787, 8204, 513, 1379, 540, 476, 273, 267, 689, 1269, 273, 317, 271, 259, 630, 2431, 2173, 739, 3787, 264, 547, 1269, 273, 317, 277, 259, 630, 572, 22770, 3787, 689, 519, 1318, 1916, 258, 1280, 1383, 267, 519, 9352, 6041, 476, 9826, 9826, 876, 1869, 4564, 519, 1297, 1269, 273, 317, 273, 1341, 476, 273, 317, 276, 815, 476, 3607, 259, 2676, 258, 1247, 519, 9352, 6041, 476, 9340, 18089, 876, 1631, 4564, 519, 1297, 1269, 24179, 273, 317, 277, 1341, 476, 273, 317, 276, 1341, 476, 273, 317, 274, 264, 21591, 258, 910, 10441, 10608, 8074, 602, 972, 616, 1079, 2009, 9352, 11269, 540, 4642, 538, 519, 1129, 2173, 1725, 3363, 454, 258, 6041, 630, 1822, 1822, 876, 543, 476, 1911, 1822, 876, 1916, 258, 3097, 258, 769, 519, 1079, 781, 9148, 6041, 267, 519, 2451, 2173, 739, 3787, 4564, 910, 2767, 952, 621, 568, 476, 272, 2676, 258, 543, 476, 271, 952, 621, 568, 476, 271, 269, 634, 824, 5722, 11353, 616, 1031, 538, 519, 1482, 1259, 607, 538, 519, 5667, 11220, 543, 454, 258, 9896, 2173, 1725, 3363, 11269, 269, 1280, 1383, 267, 519, 9352, 6041, 476, 9826, 9826, 876, 1869, 454, 258, 4564, 519, 1297, 476, 3607, 267, 1247, 519, 9352, 6041, 476, 9340, 18089, 876, 1631, 4564, 519, 454, 258, 1297, 1269, 268, 273, 317, 278, 1341, 476, 273, 317, 277, 1341, 476, 273, 317, 276, 1341, 476, 273, 317, 274, 815, 910, 2190, 259, 563, 258, 3097, 258, 3503, 513, 1599, 2387, 3240, 289, 2435, 273, 19617, 6357, 2435, 267, 6041, 23375, 602, 17016, 2387, 14310, 319, 2676, 258, 1141, 2387, 321, 2435, 319, 568, 513, 1915, 5569, 540, 3259, 476, 279, 1500, 540, 1152, 21325, 543, 3283, 267, 543, 2387, 10517, 19948, 319, 454, 258, 568, 519, 2012, 540, 519, 6041, 1031, 585, 9352, 267, 2016, 607, 513, 1915, 5569, 602, 666, 1491, 454, 258, 835, 540, 519, 1614, 1739, 2418, 281, 1412, 12584, 11220, 3299, 1412, 338, 793, 2173, 1725, 3363, 262, 543, 1412, 13512, 657, 9148, 23823, 258, 2659, 1599, 1058, 2132, 538, 922, 3977, 4661, 2387, 14310, 12452, 519, 1297, 630, 514, 3490, 476, 1015, 267, 1362, 5595, 264, 602, 568, 6719, 676, 9352, 1210, 519, 9352, 6041, 9138, 454, 258, 676, 2387, 10517, 19948, 27471, 258, 769, 314, 277, 28660, 454, 3698, 1250, 289, 2435, 273, 19617, 6357, 2435, 267, 6041, 2187, 825, 8173, 825, 21188, 1250, 289, 2435, 273, 19617, 3488, 8099, 18089, 876, 3299, 1412, 12584, 11220, 5073, 825, 476, 1220, 454, 825, 21188, 1250, 289, 2435, 273, 19617, 3488, 8099, 18089, 876, 3299, 1412, 338, 793, 2173, 1725, 3363, 5073, 825, 910, 7761, 454, 825, 21188, 1250, 289, 2435, 273, 19617, 3488, 8099, 18089, 876, 3299, 1412, 13512, 657, 9148, 5073, 825, 910, 6321, 454, 825, 21188, 1250, 289, 2435, 273, 19617, 3488, 18089, 18733, 1015, 3299, 1412, 12584, 11220, 5073, 825, 476, 4281, 454, 825, 21188, 1250, 289, 2435, 273, 19617, 3488, 8099, 18733, 1015, 3299, 1412, 338, 793, 2173, 1725, 3363, 5073, 825, 910, 4281, 454, 825, 21188, 1250, 289, 2435, 273, 19617, 3488, 8099, 18733, 1015, 3299, 1412, 13512, 657, 9148, 5073, 825, 910, 2004, 692, 825, 2433, 12407, 9352, 281, 1915, 5569, 540, 3259, 476, 279, 267, 9352, 454, 825, 2433, 12407, 6041, 281, 2012, 540, 6041, 585, 9352, 454, 825, 2433, 8873, 281, 3977, 4661, 1267, 538, 3490, 476, 1015, 454, 825, 8173, 825, 1003, 815, 1193, 6357, 2435, 994, 825, 1267, 815, 476, 271, 692, 825, 952, 6041, 2652, 1412, 12584, 11220, 12466, 1038, 585, 1775, 538, 2039, 263, 271, 267, 7003, 16325, 15892, 2018, 952, 1003, 5157, 316, 2652, 1412, 272, 12466, 3546, 1267, 6834, 476, 273, 1262, 263, 278, 25829, 2020, 825, 8640, 6041, 2652, 1412, 338, 793, 2173, 1725, 3363, 12466, 1038, 1129, 815, 476, 272, 454, 1038, 952, 1003, 314, 271, 316, 2652, 1412, 272, 12466, 2018, 1129, 815, 910, 272, 454, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 16325, 15892, 2018, 952, 1003, 5157, 316, 2652, 1412, 272, 12466, 3546, 1267, 6834, 476, 273, 1262, 263, 278, 25829, 994, 1038, 1267, 2608, 284, 1129, 692, 825, 8640, 6041, 2652, 1412, 13512, 657, 9148, 12466, 1038, 952, 1003, 314, 271, 316, 2652, 1412, 272, 12466, 2018, 1267, 815, 1267, 910, 476, 273, 1262, 278, 454, 1038, 585, 1775, 538, 2039, 263, 272, 267, 7003, 16325, 15892, 2018, 952, 1003, 5157, 316, 2652, 1412, 272, 12466, 3546, 1267, 6834, 476, 273, 1262, 263, 278, 25829, 2020, 825, 2132, 1267, 7531, 258, 12361, 7726, 476, 275, 281, 4469, 334, 908, 8672, 10606, 454, 258, 3097, 258, 12693, 476, 275, 269, 272, 281, 24951, 4469, 334, 908, 8672, 10606, 454, 258, 3097, 258, 3503, 513, 1599, 2387, 3240, 24718, 293, 5979, 1846, 3287, 267, 586, 267, 10892, 23375, 602, 7024, 513, 24042, 2387, 1410, 716, 267, 4114, 12452, 1141, 2387, 343, 12452, 2387, 344, 12452, 543, 2387, 339, 16260, 319, 616, 9470, 1513, 540, 1362, 5595, 267, 543, 2387, 1410, 716, 319, 543, 2387, 13627, 319, 616, 9470, 1513, 454, 258, 540, 1362, 1630, 18978, 269, 2387, 1410, 716, 319, 1058, 581, 3020, 630, 8421, 673, 476, 272, 264, 952, 543, 1152, 952, 2387, 343, 2652, 586, 319, 27786, 547, 3020, 538, 454, 258, 5124, 269, 2387, 13627, 319, 1058, 581, 3020, 952, 543, 1152, 952, 519, 3017, 1063, 2387, 343, 319, 543, 2387, 344, 319, 630, 514, 6207, 454, 258, 1871, 264, 568, 1447, 982, 610, 3160, 547, 10892, 269, 769, 824, 1913, 267, 519, 1599, 781, 3977, 4661, 454, 258, 4114, 6920, 2436, 2387, 343, 319, 543, 2387, 344, 319, 616, 834, 32191, 3160, 2580, 1141, 834, 32191, 3160, 4840, 258, 568, 3067, 1881, 676, 519, 3403, 4661, 10892, 780, 258, 769, 314, 278, 28660, 454, 3698, 1250, 24718, 293, 5979, 1846, 3287, 267, 586, 267, 10892, 284, 272, 324, 268, 280, 2187, 825, 8173, 825, 21188, 1250, 24718, 293, 5979, 1846, 263, 273, 266, 274, 267, 476, 276, 267, 476, 271, 994, 825, 630, 12148, 267, 6936, 994, 825, 21188, 1250, 24718, 293, 5979, 1846, 263, 271, 267, 476, 271, 269, 9826, 267, 476, 272, 324, 268, 273, 994, 825, 630, 16178, 267, 6936, 2020, 825, 2433, 12407, 1535, 281, 22185, 267, 10581, 454, 825, 2433, 12407, 586, 281, 22185, 267, 10581, 454, 825, 2433, 12407, 10892, 281, 6207, 454, 825, 2433, 8873, 281, 952, 519, 6083, 1846, 616, 827, 3160, 454, 825, 8173, 825, 3169, 815, 630, 343, 2525, 344, 994, 825, 4114, 815, 630, 11274, 3287, 3917, 264, 27045, 339, 16260, 994, 825, 2132, 3169, 267, 4114, 7531, 258, 1411, 798, 711, 723, 547, 10505, 1022, 2626, 547, 519, 1739, 2055, 547, 2347, 713, 3651, 8894, 258, 6497, 267, 855, 596, 1058, 1589, 827, 519, 4267, 547, 2087, 707, 1620, 540, 519, 946, 540, 454, 258, 13735, 1448, 2338, 563, 258, 3097, 258, 910, 4208, 568, 3169, 3160, 547, 476, 271, 538, 519, 2063, 1449, 2013, 267, 1247, 519, 1739, 7862, 568, 3862, 8894, 258, 476, 1227, 3020, 281, 476, 271, 269, 272, 1341, 476, 271, 269, 273, 815, 476, 271, 269, 274, 286, 8347, 18071, 476, 271, 269, 274, 543, 1287, 476, 271, 269, 272, 266, 271, 269, 273, 609, 476, 1839, 9704, 563, 258, 3097, 258, 910, 9717, 1079, 2338, 1269, 343, 259, 543, 1269, 344, 8961, 875, 1131, 596, 6430, 1018, 1871, 547, 946, 585, 519, 1599, 781, 454, 258, 3403, 4661, 10892, 2496, 258, 12693, 23030, 6041, 540, 13735, 1448, 2338, 630, 296, 18501, 268, 4037, 275, 994, 258, 3097, 258, 1703, 616, 2789, 2081, 547, 2099, 13735, 1448, 2338, 538, 9352, 3898, 630, 328, 4318, 269, 609, 454, 258, 1152, 21325, 543, 3283, 1040, 634, 4659, 540, 15379, 543, 22997, 19296, 630, 296, 18501, 264, 3989, 513, 454, 258, 3044, 630, 21406, 20959, 268, 4037, 275, 264, 585, 8204, 13735, 1448, 2338, 538, 9352, 3898, 269, 20959, 268, 4037, 275, 23403, 546, 604, 5166, 12043, 267, 4470, 593, 875, 1082, 11353, 630, 324, 3052, 269, 476, 1626, 11353, 267, 476, 3953, 11353, 267, 476, 5038, 11353, 267, 476, 12553, 11353, 264, 616, 1031, 547, 2099, 1142, 3097, 258, 13735, 1448, 1297, 269, 634, 12043, 602, 946, 476, 3953, 11353, 543, 454, 258, 476, 5038, 11353, 547, 2099, 1142, 1297, 616, 4122, 1634, 607, 834, 338, 17532, 8856, 257, 543, 834, 29602, 454, 258, 8856, 2580, 6606, 269, 3097, 258, 3097, 258, 769, 5124, 267, 596, 666, 4603, 676, 10747, 513, 4756, 513, 602, 454, 258, 3568, 519, 1871, 476, 272, 630, 319, 320, 815, 476, 272, 319, 264, 538, 519, 4971, 6885, 543, 1287, 1210, 519, 1599, 7790, 286, 888, 258, 547, 8524 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 3097, 307, 340, 1255, 3112, 581, 9168, 543, 568, 594, 12613, 7473, 21764, 454, 8624, 3005, 540, 19693, 2418, 540, 1114, 1239, 2010, 3097, 11847, 18677, 676, 630, 543, 3738, 23049, 609, 513, 26893, 610, 1152, 26893, 11346, 454, 20701, 12849, 15058, 5091, 904, 815, 630, 1412, 31388, 3299, 1412, 307, 11698, 3299, 1412, 26607, 11888, 3299, 1412, 32637, 3299, 1412, 293, 27518, 3299, 1412, 306, 12944, 3299, 1412, 306, 1495, 599, 262, 12467, 2745, 630, 12849, 15058, 5091, 904, 994, 2745, 630, 6943, 3799, 1868, 15058, 5091, 904, 264, 9239, 258, 16515, 1255, 1523, 547, 23396, 519, 4632, 454, 258, 11512, 519, 1523, 540, 2220, 6260, 1079, 4632, 1210, 3791, 4756, 8528, 320, 815, 476, 272, 454, 321, 815, 476, 273, 454, 320, 2073, 536, 815, 536, 2073, 513, 7531, 258, 29130, 519, 10002, 22326, 1210, 519, 1599, 13059, 513, 24042, 1210, 3097, 258, 2820, 7116, 263, 2537, 267, 273, 264, 3097, 258, 9577, 13059, 513, 24042, 267, 865, 593, 2451, 1688, 2427, 596, 666, 2789, 4632, 8528, 2745, 630, 15965, 7116, 630, 476, 2537, 2073, 476, 273, 3738, 3738, 1948, 15884, 1820, 630, 476, 1556, 2073, 476, 272, 3738, 3097, 343, 11971, 815, 2820, 7116, 630, 476, 2537, 2073, 476, 273, 12467, 258, 1535, 786, 581, 476, 1556, 543, 586, 786, 581, 476, 272, 454, 258, 16515, 921, 10002, 22326, 3340, 602, 519, 1592, 540, 4632, 593, 519, 2451, 814, 519, 1482, 1948, 1297, 540, 2609, 607, 519, 3259, 540, 519, 24042, 563, 692, 258, 29130, 519, 1523, 540, 5137, 540, 24042, 3097, 258, 19461, 1047, 606, 8900, 24042, 1210, 3097, 343, 815, 630, 994, 2745, 630, 6943, 3287, 11723, 258, 5262, 1063, 3097, 343, 815, 630, 276, 264, 3097, 2745, 630, 6943, 3287, 11723, 258, 543, 3097, 343, 815, 630, 276, 267, 994, 2745, 630, 6943, 3287, 264, 9239, 258, 17730, 8900, 24042, 3097, 24105, 4671, 340, 921, 815, 630, 994, 24105, 4671, 340, 921, 815, 24042, 30800, 258, 590, 997, 532, 540, 8913, 1255, 2147, 547, 14253, 532, 540, 5569, 22322, 12849, 15058, 5091, 904, 1496, 271, 6540, 12849, 15058, 5091, 904, 1496, 476, 272, 281, 476, 6540, 454, 258, 16515, 1255, 616, 594, 12613, 7473, 21764, 2147, 547, 5569, 8528, 12849, 15058, 5091, 904, 314, 271, 316, 815, 1412, 16341, 824, 1871, 262, 567, 19638, 692, 258, 2037, 636, 4733, 8528, 12163, 288, 2603, 540, 2053, 950, 7231, 609, 12055, 2209, 267, 649, 849, 1205, 513, 991, 547, 1832, 513, 1293, 454, 540, 23200, 563, 23911, 552, 1162, 519, 23501, 685, 4305, 676, 3246, 513, 3710, 2987, 1599, 26246, 4590, 585, 713, 4305, 780, 5319, 636, 4733, 3890, 1505, 8591, 513, 4831, 547, 606, 12055, 762, 543, 7024, 621, 538, 513, 1106, 540, 454, 26246, 1843, 563, 1607, 26246, 1843, 666, 1287, 581, 1031, 2047, 538, 585, 17787, 610, 581, 10736, 3097, 20041, 513, 1592, 540, 8913, 1255, 1210, 1592, 3890, 1505, 780, 306, 9321, 1314, 912, 523, 636, 4733, 263, 3438, 762, 267, 1376, 284, 271, 2020, 20701, 454, 258, 5124, 1982, 547, 9414, 3097, 258, 26246, 1599, 3097, 331, 272, 815, 22373, 324, 520, 14824, 338, 2748, 14824, 516, 701, 520, 19312, 3097, 338, 272, 815, 834, 613, 2131, 4840, 22322, 258, 2870, 26246, 3615, 3097, 28128, 272, 815, 26246, 10857, 272, 264, 3097, 28128, 273, 815, 26246, 4433, 272, 264, 3097, 22322, 2745, 9497, 27987, 1826, 24333, 6943, 263, 28128, 272, 264, 12467, 2745, 630, 4289, 263, 523, 636, 4733, 10857, 272, 4297, 12467, 22322, 258, 4657, 1376, 4994, 547, 476, 273, 689, 476, 271, 3097, 2745, 630, 4289, 263, 523, 636, 4733, 4433, 272, 267, 273, 4297, 9239, 258, 5124, 1982, 547, 9414, 1948, 26246, 1599, 538, 17787, 3097, 331, 272, 815, 22373, 324, 520, 14824, 338, 2748, 14824, 516, 701, 520, 19312, 672, 692, 258, 8228, 519, 8913, 1255, 538, 1843, 2047, 3097, 1721, 1605, 538, 26246, 10857, 272, 2567, 11434, 454, 825, 1820, 630, 25279, 264, 567, 692, 258, 4657, 4994, 543, 8228, 14384, 3097, 1721, 1293, 267, 25279, 538, 26246, 10857, 272, 267, 1911, 2567, 672, 3097, 825, 1820, 630, 12248, 267, 25279, 264, 476, 7531, 258, 4635, 519, 1523, 540, 21773, 3130, 547, 621, 4733, 519, 24042, 3097, 12849, 15058, 5091, 904, 815, 630, 1412, 31388, 3299, 1412, 307, 11698, 3299, 1412, 26607, 11888, 3299, 1412, 32637, 3299, 1412, 293, 27518, 3299, 1412, 306, 12944, 3299, 1412, 306, 1495, 599, 262, 476, 9239, 12248, 815, 476, 271, 454, 1721, 2395, 538, 4408, 15058, 5091, 904, 10778, 476, 1820, 2891, 24001, 2433, 15079, 834, 269, 3898, 630, 12248, 267, 2395, 3738, 994, 476, 1293, 6834, 476, 272, 454, 8528, 1721, 4994, 267, 6221, 538, 26246, 3799, 1868, 15058, 5091, 904, 2187, 476, 1820, 2891, 24001, 2433, 15079, 834, 269, 3898, 630, 8161, 267, 6221, 3738, 994, 8528, 1721, 1900, 538, 26246, 3799, 1868, 15058, 5091, 904, 2187, 476, 1820, 2891, 24001, 2433, 15079, 834, 269, 3898, 630, 21163, 314, 271, 3910, 1900, 314, 272, 316, 3738, 994, 8528, 1721, 1900, 538, 26246, 3799, 1868, 15058, 5091, 904, 2187, 825, 1820, 2891, 24001, 2433, 15079, 834, 269, 3898, 30916, 21163, 4917, 258, 338, 17532, 2608, 18575, 24042, 543, 2878, 18575, 8675, 3097, 476, 7531, 258, 8073, 513, 2688, 1599, 547, 2132, 513, 24042, 825, 7531, 3698, 1250, 6958, 15635, 10031, 825, 2132, 630, 272, 267, 273, 267, 274, 994, 3097, 3240, 6958, 15635, 10797, 339, 1575, 815, 1250, 6958, 15635, 4590, 2745, 6025, 1575, 994, 3097, 320, 14720, 22698, 815, 1250, 6958, 15635, 10797, 2745, 630, 320, 14720, 22698, 994, 2745, 630, 321, 994, 2745, 630, 322, 2020, 692, 12163, 24927, 7420, 454, 476, 8745, 281, 3097, 825, 11718, 454, 476, 8606, 17575, 281, 3097, 825, 11718, 18258, 454, 476, 9046, 15048, 912, 825, 901, 1982, 24693, 513, 5311, 540, 26893, 9674, 2338, 689, 3593, 3097, 825, 543, 12958, 513, 1592, 543, 24042, 609, 1346, 2338, 269, 22322, 476, 18452, 281, 3097, 825, 476, 273, 267, 476, 275, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1321, 454, 476, 19243, 912, 825, 5903, 2433, 18358, 273, 3299, 1412, 476, 275, 3299, 1412, 476, 278, 3299, 1412, 476, 279, 3299, 1412, 476, 280, 3299, 1412, 1321, 11172, 3097, 825, 16515, 921, 2433, 18011, 273, 3299, 1412, 476, 275, 3299, 1412, 476, 278, 3299, 1412, 476, 279, 3299, 1412, 476, 280, 3299, 1412, 14338, 5073, 20701, 454, 12163, 24927, 7420, 454, 476, 8745, 281, 3097, 825, 4374, 454, 476, 8606, 17575, 281, 3097, 825, 4374, 18258, 454, 476, 9046, 15048, 912, 825, 3503, 513, 1982, 602, 8591, 7508, 2395, 547, 4540, 24042, 540, 2395, 454, 476, 18452, 281, 3097, 825, 18011, 31388, 3299, 1412, 26607, 11888, 3299, 1412, 32637, 3299, 1412, 306, 12944, 5073, 476, 19243, 912, 825, 18011, 31388, 3299, 1412, 307, 11698, 3299, 1412, 26607, 11888, 3299, 1412, 32637, 3299, 1412, 293, 27518, 3299, 1412, 306, 12944, 3299, 1412, 306, 1495, 599, 5073, 20701, 692, 258, 5410, 811, 3009, 2591, 1759, 593, 24042, 1523, 19638, 12163, 291, 17152, 454, 1692, 547, 4558, 6049, 1297, 538, 513, 6049, 1433, 7790, 3097, 2791, 1131, 723, 513, 1592, 540, 4408, 543, 7923, 547, 1142, 2012, 513, 6049, 1297, 8528, 291, 17152, 568, 513, 1883, 1871, 796, 268, 23912, 6292, 630, 2012, 2433, 5985, 1297, 12467, 4462, 23912, 1305, 540, 1883, 281, 1871, 8424, 1141, 10569, 616, 2189, 454, 291, 17152, 2874, 540, 4642, 610, 811, 26893, 5498, 1706, 730, 1883, 17032, 8424, 602, 616, 20583, 538, 25329, 2715, 7684, 454, 763, 1883, 543, 922, 1871, 616, 9674, 676, 513, 3935, 23241, 2171, 17551, 21594, 1210, 15079, 25329, 454, 12024, 8638, 21594, 616, 849, 4573, 762, 454, 20701, 454, 258, 19461, 1047, 519, 8675, 3097, 18743, 272, 815, 9598, 3890, 3097, 18743, 272, 815, 15079, 3097, 18743, 272, 815, 9598, 20719, 16585, 8931, 18743, 272, 815, 2715, 1412, 325, 4067, 9166, 262, 11990, 262, 348, 7531, 258, 20520, 540, 21594, 454, 18743, 272, 815, 27835, 325, 4067, 9166, 262, 11990, 3299, 1412, 331, 4067, 9166, 262, 300, 14525, 3299, 1412, 2889, 325, 11970, 9166, 262, 680, 3784, 3299, 476, 1412, 720, 9166, 262, 3953, 262, 10926, 692, 258, 5410, 270, 10000, 11845, 454, 18743, 272, 9131, 331, 4067, 11172, 815, 1412, 300, 14525, 7055, 18743, 272, 9131, 2889, 325, 11970, 11172, 815, 1412, 680, 3784, 7055, 18743, 272, 9131, 720, 11172, 815, 1412, 3953, 7055, 18743, 272, 9131, 322, 640, 11172, 815, 1412, 29369, 262, 1948, 5417, 454, 18743, 272, 9131, 322, 640, 11172, 815, 1412, 7246, 262, 1948, 26303, 454, 18743, 272, 269, 26303, 630, 27835, 720, 9166, 3953, 267, 1412, 322, 640, 9166, 262, 7246, 262, 7684, 476, 9239, 258, 24614, 18880, 454, 2745, 630, 18743, 272, 14277, 331, 4067, 257, 7481, 2745, 630, 18743, 272, 10947, 3488, 331, 4067, 29125, 2745, 630, 18743, 272, 10947, 3488, 331, 4067, 3299, 1412, 8253, 5853, 10807, 9239, 258, 27539, 602, 707, 723, 3097, 18743, 272, 815, 2715, 1412, 4067, 9166, 1412, 11990, 16019, 3299, 1412, 322, 640, 9166, 262, 7246, 262, 8679, 3097, 258, 901, 1058, 2285, 606, 5470, 22322, 3240, 23952, 815, 834, 17098, 8206, 3733, 2012, 568, 2715, 4067, 348, 543, 594, 2661, 538, 2715, 322, 640, 348, 1701, 269, 8971, 3488, 11990, 16019, 3299, 1412, 7246, 17210, 3240, 23952, 815, 834, 17098, 8206, 3733, 2012, 568, 2715, 4067, 348, 543, 594, 2661, 538, 2715, 322, 640, 348, 1701, 269, 8971, 28442, 8782, 11990, 16019, 3299, 2749, 815, 1412, 7246, 17210, 3240, 23952, 815, 834, 17098, 8206, 3733, 2012, 568, 2715, 4067, 348, 543, 594, 2661, 538, 2715, 322, 640, 348, 1701, 269, 8971, 263, 1262, 18743, 272, 9239, 258, 17179, 689, 8675, 454, 23437, 9598, 272, 9131, 322, 640, 23300, 18743, 272, 21014, 3488, 322, 640, 17210, 258, 1677, 1592, 782, 519, 10569, 454, 18743, 272, 269, 12399, 3890, 8528, 258, 1677, 1592, 782, 519, 2418, 22322, 18743, 272, 269, 11161, 30800, 258, 1677, 1592, 782, 519, 2418, 22322, 18743, 272, 29096, 30800, 258, 1677, 1592, 782, 10569, 22322, 1721, 1883, 538, 9598, 272, 269, 12399, 3890, 10778, 476, 1820, 630, 1883, 476, 9239, 258, 1677, 1592, 782, 2418, 825, 454, 1721, 1871, 538, 9598, 272, 269, 11161, 10031, 476, 1820, 630, 1871, 25589, 3097, 258, 1677, 1592, 782, 2418, 543, 10569, 22322, 1721, 1883, 538, 9598, 272, 912, 476, 1820, 630, 1883, 2073, 9598, 272, 314, 4486, 316, 12467, 8528, 258, 10753, 14563, 519, 8675, 3097, 1721, 1883, 267, 1871, 538, 9598, 272, 29096, 3890, 10778, 476, 1820, 630, 1883, 267, 1871, 25589, 692, 12163, 24927, 7420, 454, 476, 8745, 281, 3097, 825, 8111, 21466, 454, 476, 8606, 17575, 281, 3097, 825, 2706, 21466, 18258, 454, 476, 9046, 15048, 912, 825, 1411, 616, 519, 9614, 540, 513, 2706, 21466, 269, 3097, 825, 1411, 723, 513, 1592, 540, 3688, 1927, 609, 741, 5777, 602, 6800, 11751, 593, 513, 1880, 1554, 269, 3097, 825, 2659, 4305, 568, 547, 1820, 1142, 6221, 12173, 543, 2121, 318, 23748, 538, 1931, 540, 922, 1101, 12136, 269, 3097, 825, 6875, 18452, 689, 14871, 22322, 476, 670, 842, 281, 3097, 825, 6221, 12173, 815, 8745, 540, 519, 6221, 269, 3097, 825, 2121, 318, 23748, 815, 10829, 640, 540, 519, 6221, 4421, 16611, 676, 519, 3902, 540, 1142, 6221, 563, 825, 2119, 547, 946, 1007, 1362, 585, 8675, 2433, 18103, 1229, 291, 1112, 454, 476, 18452, 912, 825, 22601, 2793, 2793, 674, 6020, 2464, 476, 1321, 454, 825, 623, 5588, 2969, 302, 8863, 296, 4916, 476, 1789, 454, 825, 6673, 303, 4041, 808, 308, 21201, 476, 1015, 454, 825, 595, 13263, 312, 476, 276, 454, 825, 6673, 303, 4041, 808, 308, 21201, 476, 1015, 454, 825, 595, 13263, 312, 476, 276, 454, 825, 595, 13263, 312, 476, 276, 454, 825, 595, 13263, 312, 476, 276, 454, 825, 623, 5588, 2969, 302, 8863, 296, 4916, 476, 1789, 454, 476, 19243, 912, 825, 22601, 2793, 2793, 674, 6020, 2464, 476, 1321, 454, 825, 623, 5588, 2969, 302, 8863, 296, 4916, 476, 2568, 454, 825, 6673, 303, 4041, 808, 308, 21201, 476, 736, 454, 825, 595, 13263, 312, 476, 736, 692, 20701, 454, 12163, 24927, 7420, 454, 476, 8745, 281, 3097, 825, 24635, 18185, 454, 476, 8606, 17575, 281, 3097, 825, 7141, 318, 5632, 18258, 454, 476, 9046, 15048, 912, 825, 6875, 8675, 607, 3403, 689, 3593, 609, 10569, 267, 513, 536, 524, 267, 609, 930, 8870, 3097, 825, 2418, 543, 1820, 741, 2040, 269, 1717, 267, 952, 1022, 540, 519, 2418, 568, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 276, 268, 6187, 267, 634, 32379, 7219, 3557, 7467, 540, 20963, 8551, 267, 18293, 267, 6576, 454, 268, 3223, 525, 8709, 667, 784, 523, 267, 3525, 329, 525, 14150, 267, 590, 641, 3757, 334, 590, 5424, 267, 476, 5002, 279, 267, 634, 7467, 540, 7073, 3203, 267, 1715, 3840, 4975, 267, 2475, 454, 268, 744, 628, 517, 674, 1845, 345, 267, 23721, 693, 5487, 595, 3999, 520, 267, 476, 5002, 278, 267, 4053, 19902, 546, 685, 691, 15645, 928, 632, 31684, 525, 267, 31684, 525, 267, 5333, 454, 268, 744, 628, 517, 674, 1845, 345, 267, 23721, 693, 5487, 595, 3999, 520, 267, 476, 5002, 278, 267, 4053, 19902, 546, 685, 691, 15645, 928, 632, 8303, 267, 8303, 267, 5333, 454, 23322, 2524, 540, 674, 879, 341, 1143, 454, 22873, 6053, 267, 674, 879, 341, 1143, 729, 6273, 676, 519, 5403, 27780, 1833, 1143, 540, 11709, 717, 26710, 543, 6754, 595, 2946, 345, 22828, 543, 519, 32286, 27780, 1833, 1143, 540, 1530, 584, 520, 543, 6178, 659, 269, 634, 674, 879, 341, 1235, 7550, 741, 18048, 569, 1935, 547, 7206, 2047, 689, 2470, 543, 741, 3573, 946, 540, 14911, 4778, 269, 1717, 267, 7429, 741, 21530, 25600, 945, 941, 7722, 538, 519, 2681, 3069, 3695, 9804, 2360, 540, 4778, 267, 519, 674, 879, 341, 1235, 941, 1447, 5461, 538, 2257, 543, 6041, 543, 811, 538, 14379, 519, 7376, 779, 3929, 3210, 547, 5396, 998, 2681, 269, 1358, 4603, 539, 609, 519, 22192, 1761, 540, 2681, 1210, 6505, 267, 796, 4565, 2105, 4778, 4294, 5394, 569, 547, 519, 17198, 267, 1419, 2047, 689, 519, 5862, 8546, 267, 538, 606, 17062, 6073, 609, 21245, 267, 2110, 11453, 18116, 269, 1358, 16866, 3029, 543, 25302, 5380, 2870, 513, 1007, 3182, 3645, 2230, 602, 729, 3989, 676, 4550, 5991, 1823, 1143, 563, 12385, 23579, 543, 14216, 664, 5189, 713, 1007, 18048, 569, 1935, 538, 519, 4832, 540, 476, 5002, 276, 1247, 2324, 1927, 538, 513, 1507, 8498, 1572, 2051, 2993, 537, 516, 538, 519, 3162, 540, 5333, 269, 1358, 17820, 741, 1568, 693, 519, 6428, 517, 546, 685, 8505, 558, 928, 538, 8303, 519, 1482, 1032, 543, 28280, 519, 8436, 609, 519, 1007, 7206, 2511, 269, 2201, 713, 8317, 267, 519, 2165, 968, 325, 879, 1407, 892, 729, 1101, 1031, 676, 8402, 966, 14513, 4897, 956, 547, 4766, 519, 23349, 1148, 646, 4718, 269, 4014, 3541, 690, 2218, 267, 519, 26719, 23217, 7608, 519, 2012, 563, 293, 879, 341, 1143, 779, 2552, 9084, 547, 7073, 3203, 454, 293, 879, 341, 1143, 729, 519, 1101, 540, 519, 1285, 656, 3766, 31938, 5322, 540, 519, 14206, 2540, 602, 14593, 1148, 2476, 689, 2067, 2065, 6041, 269, 674, 879, 341, 1235, 9674, 2681, 689, 922, 10855, 3483, 543, 3079, 15091, 922, 3929, 1871, 267, 3850, 621, 547, 2291, 607, 606, 4830, 3693, 1369, 519, 7206, 1510, 1373, 3020, 547, 2470, 269, 1358, 941, 849, 835, 540, 519, 1101, 26719, 547, 1118, 513, 1847, 2509, 27727, 269, 1452, 7835, 21490, 519, 1259, 585, 513, 3126, 540, 7766, 1148, 5322, 971, 607, 10699, 1143, 267, 20309, 1143, 267, 543, 17593, 3203, 269, 2991, 476, 5002, 279, 267, 930, 540, 519, 674, 879, 341, 1235, 267, 899, 4858, 4302, 543, 14216, 664, 267, 18188, 2509, 10699, 1143, 267, 1247, 966, 331, 3133, 1188, 5828, 547, 20309, 1143, 269, 8307, 4223, 23579, 267, 519, 6205, 540, 519, 3350, 267, 7283, 21705, 547, 519, 674, 879, 341, 626, 2283, 2225, 585, 519, 1964, 540, 1010, 4876, 563, 268, 28741, 4223, 23579, 630, 5908, 280, 1107, 476, 4198, 275, 1070, 3943, 454, 268, 1656, 28584, 14216, 664, 630, 6642, 271, 1107, 476, 4198, 275, 1070, 3943, 454, 268, 24381, 823, 632, 966, 331, 3133, 1188, 630, 6942, 277, 1107, 476, 4198, 279, 1070, 3943, 454, 268, 28741, 8176, 631, 1481, 514, 630, 6942, 275, 1107, 476, 3707, 280, 1070, 3943, 454, 268, 31869, 2471, 4858, 4302, 630, 6642, 273, 1107, 476, 3422, 274, 1070, 3943, 454, 268, 744, 628, 517, 674, 1845, 345, 630, 6942, 280, 1107, 476, 3707, 280, 1070, 3943, 454, 268, 3223, 525, 8709, 667, 784, 523, 630, 6942, 278, 1107, 476, 3422, 279, 1070, 10656, 6363, 3402, 454, 268, 14780, 9567, 13660, 325, 344, 630, 6942, 278, 1107, 476, 4198, 274, 1070, 3943, 454, 16665, 3203, 16301, 0, 306, 7238, 330, 940, 281, 834, 21080, 5498, 320, 5872, 4840, 14106, 541, 1267, 520, 476, 272, 910, 476, 276, 1285, 476, 1015, 1285, 8518, 1782, 541, 538, 928, 327, 18033, 961, 1228, 3921, 523, 5794, 5498, 320, 5872, 563, 21579, 2006, 325, 3430, 940, 2433, 1677, 1174, 543, 547, 3589, 519, 4365, 543, 2916, 267, 10230, 3631, 616, 1271, 2645, 543, 621, 568, 2629, 602, 519, 9013, 3157, 616, 4330, 7157, 269, 4595, 476, 3583, 260, 540, 519, 2518, 2627, 568, 4988, 609, 1216, 519, 6609, 875, 519, 5836, 543, 5790, 31825, 814, 513, 9645, 1764, 269, 700, 383, 482, 306, 631, 2207, 454, 21579, 2006, 325, 3430, 940, 2433, 27321, 3631, 616, 9244, 8200, 593, 519, 24360, 5385, 540, 11610, 267, 24534, 3002, 543, 7509, 630, 26245, 550, 3002, 264, 693, 519, 2627, 269, 744, 10895, 3382, 827, 476, 3583, 260, 540, 519, 3047, 779, 2627, 543, 1620, 519, 3157, 602, 1852, 2011, 5498, 320, 5385, 568, 540, 1390, 2956, 538, 1931, 547, 3589, 4365, 543, 2916, 269, 700, 383, 482, 306, 631, 2207, 454, 21579, 2006, 325, 3430, 940, 2433, 744, 10895, 3382, 827, 476, 3583, 260, 540, 519, 3618, 779, 2627, 269, 1358, 616, 519, 4102, 2707, 540, 519, 11626, 1216, 32350, 543, 957, 607, 11999, 3002, 23854, 269, 4935, 538, 1931, 547, 3589, 519, 2104, 4365, 543, 2916, 621, 568, 540, 1390, 2956, 547, 1174, 519, 3157, 12044, 519, 5385, 540, 1216, 32350, 543, 3002, 1063, 519, 5836, 543, 5790, 269, 700, 383, 482, 306, 631, 2207, 454, 21579, 2006, 325, 3430, 940, 2433, 5811, 540, 519, 9243, 5385, 14170, 585, 24353, 543, 24534, 3002, 267, 595, 2894, 543, 8863, 301, 267, 1759, 593, 7403, 689, 519, 3331, 500, 560, 1120, 541, 985, 3128, 916, 3135, 538, 519, 27397, 7256, 814, 1044, 1500, 269, 634, 1239, 1305, 1031, 585, 519, 8863, 301, 1353, 729, 1759, 593, 519, 1360, 4977, 24696, 308, 308, 2987, 11584, 618, 269, 700, 383, 482, 306, 631, 2207, 454, 21579, 2006, 325, 3430, 940, 2433, 4197, 519, 3157, 602, 1852, 2011, 5498, 320, 5385, 540, 11610, 267, 24534, 3002, 543, 7509, 630, 26245, 550, 3002, 264, 568, 540, 1390, 2956, 585, 11626, 543, 30173, 20592, 269, 769, 519, 5790, 267, 585, 3236, 267, 7814, 821, 8515, 543, 3950, 5673, 593, 891, 3157, 269, 700, 383, 482, 306, 631, 2207, 0, 9288, 553, 956, 543, 11676, 7578, 538, 3162, 7232, 770, 5607, 454, 268, 476, 6187, 9484, 476, 1001, 280, 454, 268, 476, 274, 1295, 1224, 454, 763, 4759, 2477, 540, 519, 2622, 2657, 25944, 630, 21766, 264, 13636, 9730, 585, 3162, 7232, 770, 5607, 723, 17251, 547, 9004, 3810, 11763, 3676, 2725, 553, 956, 543, 11676, 7578, 676, 476, 1708, 274, 563, 268, 634, 1239, 2982, 602, 13225, 27175, 267, 667, 11266, 9705, 267, 5689, 323, 1161, 267, 16444, 20092, 543, 7033, 528, 6441, 652, 324, 689, 519, 3162, 5101, 5607, 3148, 723, 17515, 2725, 553, 956, 563, 268, 2201, 519, 824, 1688, 267, 16273, 267, 13225, 27175, 267, 5689, 323, 1161, 267, 18310, 267, 16444, 20092, 543, 7033, 528, 6441, 652, 324, 723, 6417, 11676, 7578, 563, 268, 1677, 3035, 519, 26332, 1588, 540, 2725, 553, 956, 543, 11676, 7578, 676, 476, 1708, 274, 267, 519, 4759, 28029, 1845, 17251, 547, 7794, 519, 6375, 5314, 1949, 585, 2810, 543, 24569, 519, 1164, 1377, 540, 2551, 12046, 563, 268, 634, 6571, 849, 7125, 585, 4180, 513, 3810, 6213, 8047, 6462, 2013, 2861, 13178, 1062, 563, 268, 26332, 3215, 27330, 786, 2061, 476, 4335, 267, 1822, 7972, 513, 1032, 538, 519, 3148, 1247, 14874, 6299, 7578, 1131, 513, 3200, 827, 476, 4649, 267, 1822, 2665, 540, 6299, 7578, 543, 3895, 519, 1072, 543, 8171, 540, 9176, 2021, 543, 12256, 563, 268, 898, 568, 513, 3810, 21380, 10194, 2068, 543, 568, 513, 2014, 540, 2669, 1851, 1762, 1453, 11451, 563, 268, 898, 568, 3226, 5906, 585, 1453, 689, 519, 17215, 21260, 4282, 267, 607, 621, 6285, 4731, 333, 712, 1639, 1453, 543, 1346, 609, 4389, 12046, 563, 268, 898, 666, 2014, 3978, 8374, 267, 1519, 21901, 267, 29363, 4345, 267, 4049, 11591, 21539, 320, 267, 1274, 3968, 543, 16415, 563, 268, 898, 568, 849, 1572, 4436, 2725, 553, 956, 563, 268, 11676, 7578, 568, 513, 21380, 267, 3622, 7646, 10194, 3968, 602, 4386, 1034, 1419, 538, 1453, 543, 1762, 4079, 563, 268, 11676, 7578, 3968, 538, 9176, 2021, 949, 2014, 19341, 2669, 610, 22787, 12889, 1634, 607, 5556, 523, 1388, 11676, 7578, 15540, 630, 10135, 306, 1916, 268, 5556, 523, 1388, 11676, 7578, 15540, 630, 10135, 306, 264, 3123, 26464, 4332, 12889, 563, 268, 18766, 689, 519, 1657, 7341, 267, 3127, 814, 849, 26823, 3022, 547, 3565, 1269, 273, 267, 876, 267, 1822, 2509, 519, 6388, 540, 519, 23982, 6908, 896, 519, 3162, 7232, 770, 5607, 2657, 17073, 15863, 8750, 630, 10345, 2752, 4047, 293, 994, 268, 7201, 713, 11036, 267, 7981, 13178, 568, 547, 581, 15841, 585, 2038, 7020, 543, 1852, 540, 6152, 25645, 543, 1216, 13871, 3676, 799, 5280, 547, 2270, 519, 12176, 540, 15435, 17376, 821, 2068, 1739, 7814, 821, 674, 8643, 563, 268, 634, 2657, 3687, 8651, 540, 519, 3162, 7232, 770, 5607, 16323, 540, 14959, 849, 9896, 519, 16156, 16672, 593, 17073, 16721, 1563, 1145, 563, 21766, 779, 13636, 9730, 585, 3162, 7232, 770, 5607, 454, 268, 634, 13636, 9730, 585, 3162, 7232, 770, 5607, 568, 519, 2622, 2657, 9257, 779, 12044, 1560, 538, 519, 3162, 7232, 770, 5607, 16323, 267, 609, 13222, 689, 782, 476, 1556, 16588, 2276, 540, 519, 16323, 563, 268, 898, 10742, 1169, 1032, 547, 2689, 3356, 538, 1072, 1646, 538, 519, 16323, 563, 268, 898, 1106, 12885, 21368, 593, 1072, 2152, 585, 519, 16588, 2276, 267, 607, 1134, 607, 15109, 519, 6237, 6286, 540, 2622, 2657, 13909, 21368, 563, 268, 634, 16588, 18831, 616, 912, 268, 14891, 4658, 779, 6243, 540, 9705, 454, 268, 16444, 20092, 0, 28308, 1177, 8932, 610, 4144, 28549, 568, 519, 13037, 540, 8279, 543, 568, 835, 540, 519, 1034, 9976, 15976, 540, 519, 1032, 269, 1306, 829, 519, 9699, 12473, 10548, 27011, 267, 621, 568, 513, 1554, 950, 7083, 681, 4821, 267, 31001, 590, 7534, 267, 700, 27232, 2006, 320, 267, 543, 12390, 3861, 8120, 547, 15718, 617, 27256, 1310, 7836, 476, 1691, 1296, 538, 7733, 269, 18766, 689, 621, 267, 621, 568, 849, 5156, 602, 31001, 700, 27232, 14741, 729, 4535, 593, 4144, 28549, 1282, 519, 669, 9506, 540, 519, 17184, 5836, 630, 21579, 644, 571, 2494, 22474, 1040, 4935, 267, 31001, 700, 27232, 14741, 568, 519, 1034, 1713, 25976, 1282, 4144, 28549, 10658, 10937, 563, 763, 13037, 540, 8279, 267, 4144, 28549, 267, 5956, 593, 667, 7315, 614, 553, 543, 7475, 593, 13225, 2967, 5984, 1684, 19390, 20136, 1032, 4144, 28549, 786, 581, 9976, 593, 5437, 476, 275, 782, 936, 519, 2197, 269, 634, 2549, 822, 553, 5984, 512, 603, 328, 5956, 476, 6187, 281, 6734, 593, 8734, 476, 6860, 267, 476, 1708, 272, 267, 543, 7475, 693, 476, 6349, 281, 4510, 593, 8734, 476, 4962, 267, 476, 1708, 272, 269, 0, 763, 5075, 540, 519, 9721, 9677, 1014, 5980, 568, 547, 18359, 267, 2149, 543, 6536, 513, 16994, 1719, 543, 513, 2463, 585, 8581, 779, 11265, 6561, 543, 16560, 6575, 269, 1452, 6663, 616, 6913, 998, 922, 14046, 543, 5726, 2069, 15961, 267, 998, 922, 1489, 540, 5726, 3785, 543, 4058, 2152, 267, 543, 3857, 958, 267, 998, 922, 2818, 543, 741, 2238, 563, 23895, 14896, 908, 519, 9721, 13474, 5600, 12567, 454, 16829, 676, 594, 14899, 454, 7628, 476, 1708, 272, 543, 476, 1708, 273, 519, 9721, 9677, 1014, 5980, 568, 14120, 519, 9721, 13474, 5600, 12567, 609, 1079, 24218, 538, 519, 4975, 13909, 5600, 602, 786, 2263, 2185, 4627, 1296, 540, 9721, 10651, 543, 2966, 8916, 269, 634, 1101, 540, 891, 24218, 267, 6008, 6137, 3414, 519, 19835, 281, 18738, 8581, 781, 654, 6817, 25052, 267, 786, 2196, 689, 5181, 476, 1708, 272, 267, 1247, 519, 2034, 267, 769, 24442, 609, 7186, 281, 634, 9721, 13474, 5600, 12567, 267, 786, 2196, 689, 2904, 476, 1708, 273, 563, 17556, 6137, 3414, 519, 19835 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6754, 11676, 839, 563, 268, 6192, 538, 630, 25002, 1296, 3516, 994, 268, 9135, 281, 5800, 11681, 454, 268, 1641, 281, 1855, 25564, 540, 3331, 479, 341, 10042, 454, 19530, 539, 679, 9871, 2664, 553, 543, 824, 2835, 609, 8847, 585, 1855, 25564, 540, 2997, 10042, 454, 12812, 593, 513, 2140, 547, 1413, 3330, 602, 1433, 630, 604, 2139, 2187, 663, 6348, 4211, 987, 4301, 23597, 676, 4790, 14932, 595, 269, 28822, 1640, 320, 454, 5938, 25564, 540, 2997, 10042, 568, 519, 19121, 12142, 540, 8050, 269, 853, 269, 7225, 324, 568, 519, 19121, 540, 968, 7749, 6804, 2665, 6100, 634, 645, 1652, 539, 7910, 6307, 568, 519, 2101, 954, 19485, 267, 855, 519, 824, 25598, 1058, 711, 581, 20495, 269, 1358, 616, 1483, 1004, 267, 2713, 538, 513, 10155, 540, 4641, 602, 4429, 306, 20215, 17214, 11822, 630, 1220, 277, 994, 2421, 12275, 21884, 4354, 3757, 454, 5938, 25564, 540, 2997, 10042, 568, 513, 3730, 1433, 585, 873, 269, 1358, 666, 1020, 32375, 1256, 1310, 4742, 7793, 923, 267, 568, 1898, 1934, 563, 763, 16418, 518, 781, 6651, 547, 29513, 630, 1220, 271, 994, 2421, 631, 3558, 5685, 2917, 454, 5938, 25564, 540, 2997, 10042, 568, 513, 2034, 11665, 882, 545, 282, 865, 568, 519, 512, 13593, 4356, 12816, 676, 853, 269, 14731, 540, 2667, 27599, 269, 634, 4583, 1744, 9613, 540, 5695, 514, 2443, 952, 621, 568, 8076, 267, 799, 621, 949, 610, 949, 711, 581, 2443, 568, 513, 2034, 11665, 882, 545, 267, 1932, 267, 1256, 1498, 649, 2811, 4429, 288, 32425, 585, 5020, 630, 1001, 275, 994, 293, 4048, 906, 540, 519, 8131, 540, 2696, 676, 29315, 932, 8636, 3563, 454, 5938, 25564, 540, 2997, 10042, 568, 606, 12835, 540, 8103, 267, 540, 5854, 3599, 267, 540, 3595, 543, 540, 4429, 288, 7971, 545, 20989, 630, 1960, 277, 994, 763, 30765, 540, 6424, 670, 732, 676, 8845, 2605, 6471, 454, 5938, 25564, 540, 2997, 10042, 568, 519, 2707, 585, 670, 732, 781, 4214, 540, 5728, 986, 20567, 267, 519, 3948, 602, 621, 1797, 2669, 568, 10169, 25619, 269, 769, 1312, 519, 19722, 3144, 689, 519, 2817, 20989, 5358, 543, 689, 1855, 25564, 781, 824, 12591, 267, 986, 20567, 4429, 18661, 781, 26647, 1375, 2401, 630, 1960, 277, 994, 9824, 580, 542, 538, 519, 13360, 902, 540, 21208, 657, 20673, 656, 345, 752, 529, 676, 8834, 645, 1329, 454, 257, 866, 1280, 20673, 656, 345, 752, 529, 267, 1855, 25564, 540, 2997, 10042, 568, 519, 7793, 545, 7385, 540, 5213, 2372, 1460, 1774, 281, 1280, 1855, 25564, 519, 13411, 4429, 2421, 6723, 670, 12000, 1068, 344, 267, 12844, 22448, 2098, 20810, 2006, 454, 5938, 25564, 267, 513, 19716, 281, 589, 22335, 540, 1855, 25564, 540, 2997, 10042, 269, 19186, 1415, 281, 3557, 2160, 540, 1715, 3840, 4964, 267, 476, 2735, 275, 269, 13879, 267, 18007, 534, 563, 15697, 21594, 543, 679, 9871, 2664, 553, 609, 13366, 585, 1855, 25564, 540, 2997, 10042, 454, 12812, 593, 513, 6003, 547, 4225, 3406, 2164, 2687, 547, 602, 1888, 912, 21900, 657, 827, 1855, 25564, 540, 2997, 10042, 454, 12812, 593, 606, 6221, 547, 2070, 602, 8666, 912, 8698, 811, 5961, 827, 853, 269, 1855, 25564, 540, 2997, 10042, 563, 2252, 596, 991, 1644, 2592, 585, 606, 2376, 610, 513, 1867, 267, 596, 666, 4647, 6006, 6337, 281, 0, 2026, 2869, 514, 814, 1044, 1472, 513, 1279, 942, 269, 898, 729, 1101, 30630, 676, 513, 4436, 14453, 2754, 7345, 518, 538, 476, 6245, 279, 607, 513, 11522, 16401, 656, 543, 513, 2048, 12061, 268, 5417, 1112, 633, 685, 12990, 585, 10641, 710, 269, 4014, 1035, 1214, 3149, 531, 5390, 997, 3679, 630, 1492, 3114, 2012, 585, 29469, 264, 729, 1152, 1101, 14475, 538, 519, 3735, 476, 5197, 271, 338, 267, 2371, 971, 607, 786, 578, 799, 616, 3638, 538, 2892, 545, 2643, 622, 723, 7902, 538, 25196, 267, 607, 11955, 585, 8156, 8611, 267, 6553, 543, 1928, 269, 1358, 616, 5018, 538, 12266, 943, 541, 4577, 14278, 1108, 13099, 344, 686, 689, 519, 476, 273, 526, 26992, 14514, 543, 26194, 20215, 267, 519, 4651, 540, 4915, 267, 5219, 547, 741, 946, 1472, 476, 6110, 14514, 269, 3414, 519, 6502, 267, 786, 578, 13626, 1349, 814, 1044, 1031, 585, 922, 7067, 3601, 563, 4415, 519, 6551, 832, 540, 2413, 1554, 14453, 1852, 835, 13300, 2436, 29469, 1131, 2479, 723, 1044, 30630, 267, 2348, 1044, 15653, 676, 519, 22608, 9431, 9479, 799, 616, 1631, 538, 1747, 563, 2026, 2869, 514, 568, 1634, 547, 2014, 16063, 13347, 543, 1256, 1272, 18446, 688, 13579, 9071, 720, 543, 538, 930, 2550, 267, 5906, 543, 1256, 14603, 13027, 6547, 563, 4913, 29469, 568, 1631, 693, 519, 21282, 540, 5883, 8650, 9025, 543, 6147, 15842, 341, 6018, 2068, 543, 811, 5063, 267, 922, 4550, 2275, 22083, 2640, 723, 849, 1044, 4330, 563, 299, 1933, 532, 13066, 540, 29469, 616, 1631, 1373, 1031, 547, 1521, 8650, 2295, 6285, 543, 8482, 609, 922, 2640, 2348, 1044, 9846, 8810, 538, 2564, 3332, 269, 898, 568, 849, 1031, 538, 1970, 9570, 607, 513, 23833, 2268, 585, 2295, 2068, 267, 18116, 543, 30263, 2026, 630, 10520, 1304, 568, 15939, 2438, 6285, 264, 607, 1134, 607, 824, 15466, 2175, 563, 1103, 519, 3735, 476, 3445, 338, 1896, 2090, 4951, 602, 2834, 1970, 9570, 29469, 949, 849, 581, 23833, 585, 897, 28030, 2860, 630, 11312, 601, 2860, 264, 4352, 922, 18931, 543, 5732, 5906, 2427, 13716, 338, 723, 15286, 922, 2647, 4336, 946, 563, 5415, 5063, 267, 513, 6881, 693, 519, 476, 1001, 276, 3864, 9435, 6837, 538, 21499, 814, 6700, 602, 922, 4550, 2275, 22083, 2640, 949, 581, 1454, 9962, 982, 5892, 18931, 269, 589, 1353, 540, 476, 1691, 476, 1822, 2860, 2550, 538, 519, 13814, 814, 3254, 602, 2834, 29469, 3755, 941, 7466, 607, 2693, 547, 581, 9800, 476, 275, 1296, 2663, 269, 634, 4693, 4717, 13541, 3220, 6742, 710, 674, 709, 9749, 689, 2274, 16582, 2160, 29499, 602, 713, 2048, 854, 10464, 543, 1055, 1790, 520, 550, 3075, 685, 949, 723, 513, 10565, 1198, 593, 2949, 2860, 6668, 269, 898, 4667, 602, 16063, 2860, 1519, 15108, 267, 6439, 636, 543, 522, 525, 20652, 568, 1141, 29469, 786, 723, 922, 6574, 2640, 543, 2090, 616, 4867, 896, 1259, 547, 2119, 543, 3313, 1946, 29469, 814, 713, 1198, 543, 799, 2550, 616, 1034, 2693, 547, 4324, 563, 2252, 4896, 16858, 547, 1865, 1022, 540, 713, 1344, 609, 513, 4387, 1287, 5225, 4945, 1934, 0, 2026, 596, 917, 267, 972, 616, 476, 273, 4247, 547, 2328, 17130, 476, 272, 543, 17130, 476, 273, 267, 543, 538, 1312, 4081, 543, 2489, 2866, 13838, 267, 17130, 476, 272, 568, 1447, 630, 5611, 1913, 264, 982, 17130, 476, 273, 630, 7742, 1913, 1040, 10705, 1004, 6430, 547, 2328, 17130, 476, 273, 1101, 267, 1354, 1603, 17130, 476, 272, 269, 1703, 568, 1100, 1966, 676, 1631, 267, 855, 649, 616, 2965, 8757, 519, 2565, 3787, 563, 2005, 568, 2556, 602, 596, 2628, 3007, 547, 519, 2626, 6656, 543, 2328, 707, 4267, 538, 519, 2953, 4025, 269, 1703, 616, 476, 273, 6825, 4025, 593, 519, 2626, 6656, 602, 596, 2743, 538, 519, 1603, 981, 267, 835, 3081, 968, 1740, 476, 272, 892, 543, 519, 2034, 3081, 968, 1740, 476, 273, 892, 1677, 2057, 14845, 519, 981, 10719, 267, 945, 786, 8495, 707, 960, 267, 596, 991, 547, 2327, 602, 519, 1557, 968, 307, 2532, 476, 273, 892, 543, 1867, 630, 1721, 4081, 264, 610, 4484, 630, 1721, 2489, 2866, 264, 1107, 568, 2854, 896, 17130, 476, 272, 563, 1103, 3776, 19881, 2022, 649, 5143, 596, 827, 634, 28568, 1603, 17130, 476, 272, 267, 865, 1631, 1577, 779, 1847, 547, 17130, 476, 273, 269, 4653, 267, 538, 713, 5403, 596, 3580, 1205, 782, 519, 1344, 827, 519, 28568, 1603, 17130, 476, 273, 24179, 22967, 1603, 1916, 296, 26091, 5675, 17130, 476, 273, 630, 1432, 1401, 3133, 518, 1772, 18391, 1280, 2187, 1103, 28568, 5675, 17130, 476, 273, 11762, 267, 596, 786, 581, 2016, 513, 3948, 593, 799, 596, 1590, 2328, 606, 1557, 269, 1677, 798, 713, 267, 596, 1590, 723, 513, 4570, 1448, 540, 1603, 538, 707, 1557, 563, 763, 981, 10719, 568, 3168, 585, 513, 4276, 1063, 707, 6863, 543, 707, 4555, 269, 18766, 689, 713, 267, 707, 1603, 17130, 568, 2356, 2854, 593, 513, 3099, 540, 16166, 538, 707, 1603, 269, 3502, 1152, 713, 267, 855, 707, 2798, 616, 1759, 593, 519, 1297, 540, 29955, 1913, 596, 946, 538, 707, 1603, 269, 2422, 540, 1114, 19655, 538, 28568, 1603, 17130, 476, 273, 786, 1118, 513, 2318, 1764, 593, 1401, 3133, 518, 269, 898, 6920, 602, 519, 11134, 814, 1434, 28568, 5675, 17130, 476, 273, 6863, 543, 646, 1315, 1352, 666, 946, 1082, 1913, 547, 2769, 1010, 2093, 609, 12117, 563, 1692, 547, 3503, 4828, 585, 28568, 1603, 4305, 476, 273, 6512, 476, 280, 912, 13625, 5439, 616, 3730, 547, 1205, 606, 2856, 540, 1018, 513, 6512, 476, 279, 1557, 5654, 899, 267, 855, 875, 666, 596, 2328, 513, 6512, 476, 279, 1557, 286, 1306, 596, 917, 267, 606, 28568, 1557, 568, 2813, 1210, 476, 275, 7355, 912, 268, 17130, 15863, 454, 268, 3213, 11447, 543, 3213, 1127, 542, 454, 268, 22858, 673, 12754, 454, 268, 12896, 3901, 673, 16186, 543, 6452, 5596, 454, 6624, 1449, 512, 5474, 616, 18516, 827, 1018, 568, 4636, 609, 741, 1557, 267, 1946, 789, 1832, 519, 6512, 476, 277, 269, 276, 543, 875, 547, 1491, 741, 1603, 547, 519, 17020, 476, 279, 1377, 269, 1684, 596, 1589, 865, 286, 5901, 2542, 11489, 519, 1439, 267, 1317, 649, 2995, 596, 1934, 602, 875, 547, 2328, 519, 1557, 547, 1205, 519, 6060, 540, 6512, 476, 279, 538, 28568, 563, 296, 26091, 5675, 17130, 476, 273, 12856, 912, 1103, 28568, 5675, 4305, 476, 273, 596, 991, 547, 2328, 693, 2547, 476, 7742, 1913, 269, 1403, 596, 798, 711, 2328, 519, 2547, 1297, 540, 1913, 538, 1022, 4305, 267, 707, 2626, 786, 8850, 6336, 519, 1297, 543, 707, 6512, 6060, 786, 581, 4389, 269, 5637, 538, 28568, 1603, 4305, 476, 273, 4937, 9751, 543, 14288, 596, 991, 547, 2328, 519, 1557, 540, 476, 7742, 1913, 593, 513, 1888, 269, 1809, 267, 538, 717, 307, 596, 786, 1205, 2653, 3584, 538, 6476, 540, 14288, 28568, 269, 2659, 2949, 6512, 6060, 666, 1287, 581, 1454, 1447, 585, 596, 547, 4283, 513, 6280, 610, 1847, 547, 1776, 2197, 269, 8074, 602, 4352, 519, 5934, 1297, 540, 1913, 568, 2838, 267, 855, 711, 519, 5021, 563, 4913, 267, 713, 1281, 711, 1611, 602, 596, 1058, 2328, 513, 1279, 2626, 269, 1280, 835, 3364, 267, 596, 786, 711, 1205, 22429, 2798, 585, 513, 1279, 2626, 269, 1280, 519, 2034, 267, 513, 1279, 2626, 1797, 602, 596, 723, 547, 1826, 3728, 269, 634, 5488, 596, 2328, 267, 519, 811, 2693, 621, 568, 602, 596, 786, 1118, 9073, 538, 707, 8239, 543, 6863, 267, 610, 596, 786, 4734, 1271, 1344, 269, 1924, 707, 6512, 6060, 786, 2887, 563, 296, 26091, 1603, 4305, 476, 273, 4388, 912, 13425, 856, 519, 4388, 543, 2936, 621, 538, 707, 2834, 2259, 547, 6060, 1164, 538, 28568, 1603, 912, 268, 17372, 519, 2898, 2243, 610, 3948, 267, 711, 1175, 835, 851, 540, 621, 563, 268, 1684, 711, 1376, 519, 4845, 609, 519, 2262, 543, 267, 610, 267, 855, 563, 268, 4985, 267, 1646, 543, 8753, 1058, 581, 2653, 547, 2697, 563, 268, 6258, 543, 946, 519, 3652, 540, 2296, 18685, 3962, 4845, 1058, 1376, 609, 513, 3854, 4484, 543, 1439, 609, 513, 1974, 267, 2243, 1665, 610, 606, 608, 17474, 1448, 563, 268, 3550, 602, 1142, 4845, 814, 513, 5693, 30753, 1292, 1641, 543, 1292, 13450, 543, 789, 3858, 538, 1297, 543, 8082, 563, 268, 3689, 1993, 782, 3367, 519, 3948, 1360, 5402, 543, 1174, 621, 269, 11408, 6430, 1018, 596, 616, 2469, 547, 2328, 1354, 4358, 269, 5269, 513, 1592, 540, 707, 1883, 2798, 454, 268, 2422, 1114, 2010, 540, 4845, 3889, 282, 2311, 2547, 835, 2243, 267, 29680, 3280, 4845, 267, 19585, 4845, 267, 1950, 4845, 267, 3092, 563, 268, 2422, 1808, 1806, 610, 4128, 547, 1489, 707, 2093, 454, 268, 3503, 5693, 543, 4481, 267, 2057, 24813, 6898, 563, 268, 3503, 2110, 267, 2241, 267, 2347, 5220, 269, 901, 2511, 5654, 2178, 538, 2296, 563, 296, 26091, 1603, 4305, 476, 273, 3584, 476, 1001, 280, 912, 1103, 28568, 5675, 4305, 476, 273, 596, 949, 1205, 519, 2243, 1644, 547, 1022, 1888, 899, 912, 268, 4828 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 849, 21734, 454, 10376, 851, 540, 519, 2136, 8003, 779, 1216, 3761, 3568, 8795, 5666, 540, 21973, 4470, 593, 1141, 596, 2661, 269, 12071, 528, 728, 568, 3773, 547, 519, 1216, 547, 3142, 519, 5834, 909, 547, 476, 272, 16936, 540, 21973, 829, 1396, 516, 540, 1216, 269, 27051, 267, 476, 277, 2929, 1004, 610, 476, 1015, 260, 540, 4789, 779, 2551, 4309, 14806, 573, 730, 1216, 267, 2901, 6923, 610, 31567, 693, 519, 19993, 1377, 269, 901, 5834, 540, 21973, 1369, 519, 1216, 3761, 814, 1044, 24802, 3254, 547, 2014, 513, 1713, 5786, 538, 519, 2157, 540, 5694, 9178, 563, 12850, 14806, 9179, 3664, 616, 1500, 676, 519, 2199, 8128, 269, 634, 1739, 2127, 540, 519, 2136, 8003, 723, 1216, 14806, 9179, 2907, 538, 1747, 912, 268, 4639, 11068, 4133, 454, 268, 5101, 11068, 4133, 454, 268, 3345, 5101, 454, 268, 3345, 4639, 454, 268, 8109, 4789, 454, 268, 31920, 543, 670, 3784, 454, 1103, 824, 2694, 540, 519, 2197, 267, 519, 1857, 1216, 3761, 6923, 3568, 21973, 5834, 2157, 2147, 547, 602, 538, 519, 1657, 14565, 269, 2659, 2199, 1216, 18261, 786, 581, 2111, 547, 2709, 811, 1344, 827, 519, 5834, 540, 21973, 538, 707, 2199, 1858, 543, 2436, 621, 814, 1044, 3773, 269, 1411, 666, 1419, 3406, 2228, 1210, 513, 2022, 13892, 2638, 518, 563, 2467, 616, 513, 1906, 14565, 538, 4789, 1141, 1153, 1453, 4309, 14806, 573, 730, 5144, 269, 1358, 616, 3177, 538, 2127, 1141, 519, 1216, 568, 711, 14806, 573, 730, 543, 972, 616, 1164, 2157, 540, 5694, 9178, 269, 5753, 945, 723, 14806, 573, 730, 14342, 610, 32092, 525, 3232, 1058, 711, 7119, 538, 5144, 14806, 9179, 14565, 563, 302, 1537, 2657, 29392, 1962, 5241, 14362, 454, 10521, 540, 519, 1034, 1455, 5959, 3676, 540, 1286, 625, 630, 1729, 1054, 9178, 264, 543, 27731, 2068, 666, 581, 4389, 609, 2834, 5694, 1962, 5241, 609, 513, 14806, 573, 730, 26025, 269, 12071, 528, 728, 568, 519, 1883, 3742, 12146, 602, 11151, 267, 8060, 267, 543, 13515, 5694, 9178, 563, 763, 2362, 519, 5834, 540, 21973, 519, 1732, 519, 1852, 540, 5694, 9178, 563, 268, 5696, 5241, 1058, 1376, 607, 4166, 607, 519, 1101, 5694, 538, 519, 5023, 11199, 14186, 563, 268, 5696, 5241, 1058, 2049, 693, 2547, 7466, 3232, 267, 2063, 3364, 693, 3781, 1354, 5127, 543, 693, 2547, 835, 824, 942, 1282, 519, 1554, 563, 268, 5753, 896, 519, 2085, 540, 1614, 1058, 946, 513, 26025, 5627, 1100, 1447, 982, 476, 272, 267, 1822, 653, 332, 21973, 563, 268, 5753, 896, 519, 2085, 540, 1614, 1058, 946, 1100, 811, 982, 513, 1159, 792, 13355, 2179, 540, 26025, 630, 320, 6094, 4670, 602, 6227, 1447, 982, 476, 382, 378, 540, 519, 11453, 1040, 1358, 1058, 581, 15695, 711, 547, 3548, 610, 561, 1157, 26025, 563, 268, 5753, 9907, 1063, 1614, 543, 3670, 1058, 946, 1100, 811, 982, 513, 890, 320, 13355, 2179, 540, 26025, 454, 268, 1280, 1453, 5722, 1296, 543, 1657, 267, 513, 1920, 14806, 573, 730, 26025, 5627, 476, 272, 267, 12573, 653, 332, 268, 272, 267, 4335, 653, 332, 3091, 5021, 1286, 625, 1852, 585, 782, 1453, 4849, 1346, 945, 3112, 581, 15286, 689, 4189, 26025, 563, 268, 4132, 5694, 1962, 5241, 1058, 581, 5280, 610, 24892, 676, 606, 2937, 2394, 693, 2547, 519, 2085, 540, 5722, 563, 268, 681, 1231, 532, 707, 5023, 609, 1216, 1310, 17678, 1058, 581, 27209, 269, 901, 30417, 11067, 1055, 519, 8825, 21973, 267, 4061, 838, 9231, 856, 4430, 26025, 568, 30074, 269, 1280, 519, 1482, 2601, 540, 9319, 11067, 2476, 519, 13671, 21973, 267, 1210, 5023, 31683, 5612, 1310, 17678, 1058, 581, 14284, 563, 268, 5696, 5241, 568, 811, 2500, 609, 5420, 9403, 1490, 30178, 563, 268, 2859, 1271, 982, 519, 11453, 267, 8261, 610, 3167, 267, 568, 4180, 519, 11453, 568, 3927, 1031, 7466, 3232, 563, 2467, 568, 1164, 7779, 2963, 6029, 519, 7145, 540, 21973, 642, 7568, 880, 538, 519, 6604, 540, 5694, 9178, 267, 28000, 540, 519, 2157, 540, 21973, 538, 519, 1216, 3761, 269, 13335, 540, 21973, 642, 7568, 880, 693, 2547, 7466, 513, 1032, 814, 1044, 14916, 3254, 547, 2569, 5694, 9178, 538, 4816, 4522, 676, 476, 4391, 260, 543, 2937, 4522, 676, 476, 6246, 10065, 1703, 568, 849, 2963, 21973, 642, 7568, 880, 666, 948, 3247, 9178, 593, 4816, 4522, 543, 5072, 563, 4322, 2090, 1419, 946, 21973, 642, 7568, 880, 538, 519, 5834, 540, 476, 2420, 267, 7785, 2694, 829, 2929, 269, 901, 568, 1134, 7608, 676, 5959, 4648, 543, 2808, 2922, 269, 12071, 528, 728, 642, 7568, 880, 666, 581, 4294, 676, 4648, 609, 8766, 3606, 2866, 269, 11374, 519, 3498, 540, 21973, 642, 7568, 880, 267, 2043, 1058, 2057, 4189, 267, 6704, 267, 610, 32092, 532, 741, 5023, 585, 476, 1789, 3764, 26063, 267, 543, 1152, 3548, 2571, 3536, 538, 519, 1739, 2185, 3108, 563, 5278, 21973, 642, 7568, 8460, 798, 2270, 4568, 282, 2705, 267, 621, 814, 1044, 8815, 676, 4639, 11068, 4133, 26588, 685, 11672, 14643, 267, 789, 616, 5078, 585, 12356, 607, 789, 616, 1373, 1031, 607, 513, 3053, 3512, 267, 711, 585, 883, 343, 1709, 269, 634, 1507, 5666, 1031, 1131, 711, 2014, 883, 343, 1709, 543, 616, 711, 1031, 585, 8709, 640, 5301, 563, 15430, 5524, 4400, 24517, 1674, 12071, 528, 573, 730, 29392, 335, 4292, 454, 15430, 5524, 14806, 573, 730, 26025, 568, 2139, 538, 1312, 476, 273, 267, 8517, 543, 476, 276, 267, 1822, 2694, 829, 2929, 5834, 269, 31406, 21973, 476, 273, 267, 8517, 653, 332, 26025, 568, 8612, 585, 2550, 9907, 476, 1015, 1296, 543, 1657, 282, 693, 1164, 1981, 540, 5694, 9178, 267, 3742, 9178, 267, 26966, 545, 14233, 267, 513, 1164, 4006, 2732, 267, 610, 1164, 4006, 6646, 269, 31406, 21973, 476, 276, 267, 1822, 653, 332, 26025, 568, 8612, 585, 2550, 476, 1626, 1296, 543, 1657, 282, 693, 1164, 1981, 540, 5694, 9178, 267, 3742, 9178, 267, 3819, 5023, 267, 26966, 545, 14233, 267, 936, 4823, 999, 267, 513, 1164, 4006, 2732, 267, 610, 1164, 4006, 6646, 563, 21206, 2959, 540, 21973, 971, 607, 21973, 14342, 543, 12772, 616, 2139, 267, 2705, 267, 789, 798, 2154, 10220, 676, 3885, 267, 543, 4061, 949, 896, 610, 936, 4310, 563, 2026, 5959, 4648, 267, 649, 1131, 4363, 824, 2959, 540, 21973, 607, 513, 1101, 11060, 1935, 269, 12071, 528, 728, 32092, 525, 666, 581, 11311, 547, 2550, 9907, 5216, 543, 1657, 543, 1058, 581, 1031, 538, 14966, 609, 7466, 1673, 2905, 17678, 1210, 513, 26025, 5627, 693, 2547, 476, 272, 267, 12573, 653, 332, 21973, 269, 681, 1231, 532, 3340, 10220, 543, 1058, 581, 1031, 693, 513, 1114, 942, 547, 5694, 1962, 5241, 269, 1703, 568, 513, 3152, 5834, 540, 21973, 538, 26025, 3379, 547, 519, 21973, 5023, 32092, 525, 799, 1419, 2270, 476, 18597, 653, 332, 269, 5696, 5241, 7466, 3232, 609, 513, 14806, 573, 730, 26025, 5627, 693, 2547, 476, 272, 267, 1822, 653, 332, 21973, 267, 610, 2362, 585, 1346, 693, 2362, 1981, 267, 568, 513, 2362, 10862, 1900, 543, 2565, 585, 15400, 5711, 1072, 2640, 563, 31880, 528, 728, 568, 835, 540, 519, 1034, 1271, 6878, 547, 581, 1031, 538, 2413, 6377, 25185, 543, 2565, 585, 519, 5826, 543, 4027, 540, 707, 5711, 1072, 269, 1879, 1031, 14013, 538, 519, 2953, 5834, 267, 21973, 568, 2922, 543, 2500, 269, 1703, 723, 1044, 3573, 2090, 543, 1382, 883, 519, 7145, 540, 21973, 538, 7303, 5694, 9178, 267, 543, 789, 782, 723, 598, 13254, 9672, 519, 2318, 2640, 29387, 519, 30050, 4220, 269, 0, 268, 476, 272, 1548, 568, 13035, 538, 4070, 2359, 888, 268, 476, 273, 4208, 568, 4070, 13035, 888, 268, 476, 274, 1548, 568, 5921, 676, 4043, 1359, 888, 268, 476, 275, 1548, 568, 519, 3483, 540, 4043, 1359, 888, 268, 476, 276, 1548, 568, 13035, 543, 922, 2010, 888, 268, 476, 277, 1215, 798, 596, 798, 4043, 1359, 538, 4070, 888, 268, 476, 278, 1548, 616, 519, 2010, 540, 13035, 888, 268, 476, 279, 1548, 568, 476, 273, 3942, 4043, 1359, 888, 268, 476, 280, 1548, 568, 13035, 2491, 609, 1383, 888, 268, 476, 1015, 1548, 568, 13035, 543, 875, 621, 1568, 888, 268, 476, 1556, 1548, 568, 519, 3017, 1063, 19915, 543, 13035, 888, 268, 476, 1321, 1215, 568, 4043, 1359, 2944, 888, 1432, 568, 13035, 538, 4070, 2359, 888, 288, 13035, 568, 606, 27592, 547, 19915, 585, 513, 1788, 610, 3398, 513, 6101, 2709, 971, 607, 513, 1491, 1478, 19915, 269, 570, 754, 1359, 2356, 4016, 547, 519, 1184, 17929, 6608, 543, 2883, 5238, 16436, 536, 1749, 585, 1804, 3785, 602, 1590, 581, 11643, 1369, 513, 13113, 21120, 563, 3963, 568, 4070, 13035, 888, 2005, 2306, 606, 2709, 585, 519, 3761, 540, 5370, 610, 2533, 269, 1323, 27592, 547, 13035, 1522, 581, 9783, 585, 513, 2039, 540, 11731, 267, 1519, 282, 3937, 3761, 267, 519, 1292, 4070, 4579, 630, 704, 4257, 1519, 1374, 676, 519, 28079, 1070, 23542, 819, 267, 7175, 1568, 267, 3092, 563, 1432, 568, 5921, 676, 4043, 1359, 888, 1492, 1184, 540, 7446, 519, 1655, 610, 10464, 652, 2754, 547, 3761, 5370, 610, 798, 513, 2816, 676, 6998, 1896, 3549, 547, 1118, 3091, 585, 23478, 519, 5370, 610, 3257, 519, 960, 281, 634, 2898, 1184, 568, 2944, 676, 8013, 4043, 1359, 563, 1432, 568, 519, 3483, 540, 4043, 1359, 888, 2005, 2306, 606, 2709, 585, 519, 3761, 540, 5370, 610, 2533, 269, 1703, 616, 1079, 5301, 538, 4043, 1359, 281, 1677, 2824, 513, 5078, 28079, 693, 513, 5078, 942, 269, 634, 2709, 540, 513, 3902, 568, 2838, 689, 519, 28079, 693, 606, 3617, 942, 563, 1432, 568, 13035, 543, 922, 2010, 888, 2467, 616, 1614, 2010, 540, 4043, 1359, 2409, 538, 4070, 1107, 676, 1930, 4043, 1359, 267, 16496, 4043, 1359, 267, 610, 676, 19908, 269, 570, 754, 1359, 2409, 616, 5697, 1759, 593, 4170, 540, 4070, 11731, 563, 1692, 798, 596, 798, 4043, 1359, 538, 4070, 888, 307, 754, 1359, 568, 519, 1184, 676, 799, 536, 1749, 616, 14376, 689, 5461, 25255, 547, 4163, 856, 1808, 15004, 540, 4070, 960, 269, 7046, 4043, 1359, 568, 519, 1292, 4043, 1359, 5773, 6964, 676, 1312, 519, 2229, 543, 4357, 5823, 269, 634, 7817, 6994, 2478, 519, 13035, 2709, 538, 519, 2199, 11356, 563, 1432, 616, 519, 2010, 540, 13035, 888, 763, 1585, 2010, 540, 4043, 619, 3622, 1031, 616, 281, 1930, 13035, 267, 16496, 13035, 267, 7858, 7007, 13035, 267, 17626, 13035, 543, 2165, 4043, 1359, 563, 268, 2443, 7046, 570, 754, 1359, 563, 268, 2443, 8564, 633, 570, 754, 1359, 563, 268, 2443, 32468, 2747, 570, 754, 1359, 563, 268, 2443, 12910, 570, 2658, 563, 268, 634, 570, 2658, 6713, 568, 10318, 1441, 563, 268, 32369, 585, 570, 2658, 568, 16721, 1563, 563, 268, 570, 11367, 616, 12833, 1243, 563, 268, 4675, 11502, 29594, 563, 1432, 568, 476, 273, 3942, 4043, 1359, 888, 10521, 3942, 4043, 1359, 568, 513, 1505, 540, 27147, 1141, 519, 16108, 11394, 547, 6966, 513, 28079, 693, 606, 3355, 3942, 540, 519, 1788, 1759, 593, 606, 7291, 9165, 540, 960, 269, 1703, 568, 1287, 513, 2034, 3942, 950, 519, 16108, 11394, 547, 6966, 513, 28079, 585, 519, 4070, 1568, 896, 513, 2679, 4579, 563, 1432, 568, 13035, 2491, 609, 1383, 888, 763, 4214, 540, 13035, 568, 2653, 547, 25261, 610, 1373, 10347, 610, 2571, 538, 2962, 269, 1323, 1383, 540, 13035, 568, 513, 4062, 540, 2848, 752, 602, 568, 711, 9157, 269, 1323, 1383, 540, 13035, 568, 519, 1259, 538, 799, 513, 3993, 9900, 6299, 338, 1200, 4816, 779, 1394, 563, 1432, 568, 13035, 543, 875, 621, 1568, 888, 7072, 269, 634, 13035, 568, 606, 2709, 547, 1685, 930, 4305, 610, 547, 3761, 5370, 693, 513, 6378, 3902, 269, 634, 25255, 786, 581, 14376, 547, 10505, 20177, 536, 1749, 585, 4070, 610, 585, 519, 11865, 540, 4481, 2966, 2533, 610, 5370, 1282, 513, 1880, 942, 7406, 538, 519, 3355, 1900, 540, 713, 13035, 1184, 563, 1432, 568, 519, 3017, 1063, 19915, 543, 13035, 888, 288, 13035, 568, 849, 513, 7662, 585, 18747, 1141, 3906, 1616, 547, 6718, 1945, 543, 1151, 7228, 536, 1749, 689, 1585, 14273, 269, 634, 19915, 568, 519, 3561, 20515, 1788, 9424, 543, 2238, 540, 519, 2326, 2556, 585, 1142, 1788, 267, 609, 519, 1942, 540, 782, 2238, 585, 1142, 1788, 563, 1692, 568, 4043, 1359, 2944, 888, 307, 2658, 6713, 1923, 589, 13159, 1160, 10810, 618, 6651, 454, 268, 9502, 1315, 12791, 540, 570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1871, 543, 2087, 606, 3919, 779, 4238, 269, 898, 2337, 606, 3919, 9585, 922, 6859, 676, 8744, 513, 9836, 267, 5676, 1441, 1935, 547, 2708, 543, 2087, 519, 7145, 540, 1981, 2359, 267, 1852, 543, 10350, 3157, 563, 13126, 281, 31232, 476, 1001, 271, 454, 12179, 2055, 610, 5955, 286, 0, 12441, 596, 917, 602, 519, 1158, 568, 15151, 827, 547, 1439, 286, 11153, 2984, 267, 3370, 2066, 519, 1357, 693, 519, 1715, 3840, 5403, 543, 7665, 574, 267, 814, 519, 32422, 540, 1684, 1682, 1485, 1394, 538, 519, 24657, 543, 621, 779, 693, 519, 3952, 540, 519, 9241, 4362, 14136, 476, 280, 269, 1284, 6045, 513, 3787, 827, 14136, 476, 280, 1394, 538, 5130, 267, 7713, 1018, 621, 1797, 585, 938, 3859, 1062, 543, 875, 621, 1223, 7654, 1689, 519, 1259, 649, 2070, 519, 14925, 269, 634, 4541, 1869, 18387, 1406, 1044, 9763, 538, 519, 17145, 607, 540, 2943, 267, 855, 972, 616, 1082, 10881, 602, 621, 6818, 856, 972, 538, 519, 3109, 540, 2230, 269, 2368, 27894, 538, 519, 4155, 585, 519, 18706, 7236, 14361, 602, 779, 4867, 16304, 1472, 21275, 616, 835, 16315, 602, 972, 779, 513, 1560, 856, 972, 1818, 2242, 563, 14722, 616, 15691, 547, 13166, 1265, 519, 1007, 4541, 693, 930, 1448, 538, 519, 4947, 1032, 267, 855, 1866, 616, 15151, 4712, 547, 2161, 602, 14136, 27607, 1223, 11963, 798, 558, 585, 938, 4541, 269, 6875, 12253, 18724, 332, 790, 689, 519, 2160, 540, 17039, 267, 513, 5449, 28936, 903, 545, 626, 945, 6811, 602, 14136, 27607, 568, 26405, 547, 3142, 519, 1928, 547, 14136, 3047, 267, 2687, 547, 7665, 574, 912, 763, 5449, 28936, 12695, 7548, 6811, 519, 476, 5390, 4541, 786, 22545, 2230, 7725, 2509, 3047, 607, 922, 476, 736, 267, 1822, 1032, 10739, 1472, 519, 6129, 12034, 621, 979, 998, 519, 918, 14241, 704, 25028, 267, 513, 6512, 540, 30563, 543, 635, 1115, 1175, 3564, 32624, 563, 293, 1601, 559, 2963, 814, 6700, 1272, 593, 3047, 568, 12357, 569, 530, 21317, 856, 1169, 476, 2918, 2929, 547, 476, 2767, 2929, 1296, 563, 1103, 519, 11313, 3199, 338, 543, 11313, 3445, 338, 267, 3744, 6700, 519, 970, 18728, 1223, 581, 1524, 547, 513, 1507, 2699, 21221, 5182, 610, 4839, 21221, 4541, 2443, 1634, 607, 715, 655, 8412, 610, 12280, 10060, 2443, 602, 729, 8429, 998, 519, 3859, 1062, 563, 3086, 7905, 18724, 3467, 3081, 646, 11099, 14136, 27607, 1223, 581, 519, 2014, 540, 891, 968, 2169, 8012, 2621, 3034, 2791, 4076, 2693, 4956, 547, 1491, 1055, 543, 1118, 4566, 547, 9101, 676, 713, 1448, 267, 855, 596, 2731, 12582, 1406, 269, 3689, 267, 972, 779, 24076, 547, 979, 269, 1411, 1223, 2661, 11895, 267, 855, 596, 2461, 2693, 2469, 547, 5884, 269, 8585, 787, 8285, 269, 5822, 267, 19375, 9466, 2443, 519, 812, 945, 7166, 32624, 543, 835, 540, 519, 11570, 3297, 519, 6602, 540, 14136, 27607, 2443, 3081, 621, 568, 513, 19619, 540, 536, 6064, 912, 4002, 1283, 540, 602, 267, 519, 7665, 574, 1650, 3294, 1256, 561, 1742, 930, 2597, 547, 519, 2856, 602, 10912, 585, 1684, 1682, 1485, 568, 513, 2370, 16349, 269, 1656, 607, 713, 2376, 689, 20570, 4967, 267, 19696, 513, 12357, 4541, 856, 538, 519, 3859, 1062, 607, 938, 1439, 3884, 1406, 4010, 513, 1007, 3364, 912, 763, 14686, 1761, 540, 971, 513, 8367, 2731, 3893, 519, 798, 1682, 9707, 23238, 13576, 538, 519, 2196, 5346, 547, 519, 1835, 16636, 2914, 20564, 6436, 602, 1131, 19411, 622, 609, 519, 1439, 540, 519, 2904, 534, 968, 16524, 4032, 892, 11706, 593, 5463, 269, 476, 2641, 267, 476, 1001, 273, 269, 4515, 924, 619, 543, 21239, 3620, 2863, 532, 865, 16251, 16558, 598, 1723, 551, 539, 782, 5686, 540, 798, 1682, 1485, 7653, 602, 1131, 4755, 593, 602, 1554, 2443, 835, 540, 873, 1373, 519, 20060, 839, 673, 10206, 602, 14136, 2473, 630, 528, 519, 1256, 811, 535, 2117, 673, 968, 301, 756, 15843, 14615, 729, 19856, 1645, 998, 519, 3859, 1062, 547, 267, 596, 31665, 621, 267, 26763, 856, 782, 1272, 593, 3047, 2443, 2901, 998, 513, 635, 8767, 3046, 14141, 610, 3859, 3595, 10445, 269, 6153, 2053, 563, 23921, 1652, 547, 2161, 267, 476, 1001, 273, 3357, 543, 4682, 543, 649, 2461, 1869, 1934, 269, 1809, 713, 1032, 267, 519, 14136, 2473, 8367, 814, 1500, 1776, 2097, 3724, 269, 901, 942, 267, 621, 779, 711, 519, 24362, 1467, 540, 513, 3983, 798, 1682, 1485, 24983, 267, 621, 779, 1759, 593, 7422, 540, 519, 9490, 5163, 540, 3615, 538, 519, 9018, 3859, 1062, 563, 16631, 5708, 568, 8748, 547, 1832, 519, 2634, 11112, 267, 855, 621, 779, 20868, 950, 621, 30012, 1932, 2673, 547, 1483, 2257, 543, 1483, 1272, 269, 634, 1158, 1360, 1134, 1223, 1439, 693, 930, 1448, 267, 855, 1318, 1631, 3085, 1406, 3100, 547, 581, 519, 4090, 269, 1403, 519, 1439, 540, 519, 1158, 568, 5921, 547, 4755, 713, 3018, 267, 1018, 616, 596, 2469, 547, 798, 827, 621, 286, 2334, 779, 1946, 20468, 568, 513, 3653, 540, 707, 942, 269, 3619, 723, 513, 26889, 267, 2972, 519, 2063, 2395, 540, 2470, 267, 543, 4126, 602, 930, 824, 10196, 814, 513, 1732, 2856, 593, 875, 547, 513, 3200, 519, 1439, 269, 17949, 602, 26889, 267, 1498, 269, 0, 5331, 1373, 4535, 883, 8474, 538, 519, 3162, 269, 1411, 1810, 1405, 723, 513, 546, 830, 547, 707, 2012, 267, 4607, 1100, 2069, 543, 782, 596, 917, 616, 519, 4478, 4610, 540, 519, 24873, 596, 5249, 593, 269, 1548, 1131, 596, 798, 1310, 519, 13373, 7321, 540, 8474, 286, 1215, 1131, 596, 1376, 936, 286, 5988, 568, 4563, 3778, 13600, 910, 543, 607, 649, 3314, 519, 2250, 543, 519, 1974, 540, 8474, 538, 3013, 267, 621, 779, 1271, 547, 711, 1152, 1491, 538, 519, 5380, 540, 12206, 543, 7855, 267, 855, 849, 1463, 20250, 6589, 689, 1346, 19497, 20665, 269, 7348, 9557, 685, 14753, 609, 14787, 543, 23031, 267, 9400, 595, 25301, 267, 1071, 27236, 540, 519, 1007, 1433, 5211, 540, 10552, 281, 1977, 26913, 3245, 519, 4658, 5808, 700, 1882, 898, 563, 17220, 3310, 568, 24245, 538, 2221, 779, 10562, 267, 1514, 2923, 12454, 1158, 269, 16528, 2278, 4432, 529, 9278, 3331, 483, 338, 1962, 1074, 26082, 7348, 9557, 547, 1865, 875, 1200, 1753, 2197, 540, 13785, 814, 4957, 538, 2487, 1296, 267, 543, 519, 8226, 540, 519, 2197, 8957, 519, 4641, 540, 1018, 779, 8345, 1369, 922, 10665, 563, 1103, 519, 772, 2529, 1421, 1034, 2021, 616, 2141, 15691, 547, 3035, 513, 2635, 16657, 610, 11487, 7458, 16009, 269, 1809, 538, 1454, 540, 519, 1158, 543, 538, 1082, 6803, 4529, 267, 2348, 14402, 2960, 568, 4922, 9053, 543, 568, 9763, 607, 513, 4567, 3090, 540, 5898, 543, 5763, 269, 1677, 3035, 713, 1413, 267, 6634, 540, 2021, 946, 3109, 27360, 564, 31820, 1212, 4461, 267, 21447, 543, 1256, 10001, 5671, 1186, 4904, 609, 513, 16221, 540, 5820, 269, 1284, 3717, 609, 1614, 4966, 827, 1946, 519, 5898, 20786, 540, 2960, 31820, 568, 1869, 865, 4922, 909, 18988, 543, 930, 540, 519, 5739, 2427, 2360, 3361, 676, 891, 5898, 2472, 563, 1432, 4010, 568, 17697, 9186, 543, 875, 1281, 621, 1106, 286, 1284, 15059, 713, 7294, 3390, 543, 1865, 1946, 621, 779, 865, 1271, 585, 3237, 547, 2232, 17697, 9186, 609, 3214, 2038, 593, 998, 6596, 7391, 543, 4598, 547, 3309, 5054, 563, 305, 18432, 17478, 1869, 26251, 2429, 519, 772, 2529, 269, 2290, 3815, 7700, 547, 713, 8635, 568, 519, 2497, 540, 938, 10034, 543, 4872, 269, 9400, 681, 1054, 7322, 543, 29139, 11986, 9652, 2911, 827, 875, 2250, 4031, 543, 938, 2229, 2813, 513, 5258, 15295, 543, 519, 1764, 713, 814, 593, 1978, 5095, 563, 2690, 5756, 267, 2257, 5708, 729, 513, 9135, 2854, 3592, 14311, 676, 3043, 9038, 269, 3767, 267, 519, 9135, 568, 30436, 609, 3309, 9739, 267, 7064, 538, 851, 547, 519, 13009, 4565, 5074, 5856, 4239, 822, 807, 661, 269, 30215, 269, 16024, 1014, 15168, 787, 2052, 24170, 11828, 519, 9465, 30215, 5185, 543, 1200, 9371, 593, 835, 540, 519, 1034, 2442, 11964, 538, 1977, 3332, 563, 2171, 2911, 547, 4966, 593, 15257, 543, 10168, 827, 1018, 10168, 5654, 899, 538, 938, 2413, 1158, 543, 1018, 649, 782, 666, 581, 3257, 547, 948, 1118, 519, 1158, 811, 27031, 543, 1447, 7292, 569, 21678, 269, 0, 1432, 568, 3397, 686, 6355, 888, 13070, 1026, 5350, 568, 519, 1870, 540, 6694, 2504, 269, 634, 2165, 729, 22579, 538, 476, 4198, 278, 676, 681, 4209, 7108, 6199, 543, 16026, 269, 898, 2882, 989, 878, 8707, 338, 267, 9960, 267, 7693, 2504, 630, 325, 9879, 543, 4579, 8105, 1070, 3892, 267, 3484, 12227, 267, 4393, 267, 543, 6079, 2709, 267, 11338, 607, 5009, 543, 10685, 6455, 269, 2353, 8069, 540, 519, 1426, 543, 6775, 4502, 5832, 543, 1004, 24284, 602, 3310, 621, 4009, 2268, 513, 851, 540, 519, 1870, 1062, 563, 2467, 4009, 2268, 5850, 5232, 538, 543, 13623, 540, 1870, 267, 1870, 4123, 12205, 267, 989, 1026, 5350, 12326, 267, 543, 865, 8521, 267, 5001, 563, 1103, 519, 2796, 540, 1870, 2359, 538, 3537, 30937, 267, 1169, 1367, 5057, 540, 6683, 2504, 543, 3892, 1223, 849, 581, 6719, 607, 989, 1026, 5350, 525, 269, 1717, 267, 519, 2165, 968, 698, 1026, 5350, 892, 1034, 4749, 11363, 519, 968, 5793, 323, 11163, 892, 540, 1346, 9867, 9922, 3330, 519, 10198, 5832, 563, 14300, 540, 989, 1026, 5350, 525, 1331, 6079, 543, 989, 878, 8707, 12696, 899, 22337, 3397, 549, 7070, 267, 13660, 303, 2632, 267, 631, 976, 27053, 267, 543, 5204, 978, 31980, 282, 9474, 3397, 686, 630, 4820, 540, 23105, 3703, 16639, 264, 3662, 20555, 267, 6915, 30669, 267, 543, 2890, 268, 532, 19263, 267, 5084, 300, 267, 10286, 3560, 543, 4393, 282, 3627, 1546, 699, 267, 3484, 12227, 16073, 282, 7909, 1975, 2001, 267, 16027, 779, 18756, 282, 543, 8830, 2088, 10787, 916, 267, 989, 761, 712, 626, 3484, 563, 2026, 6161, 936, 8022, 14556, 5809, 267, 6915, 30669, 6508, 689, 7031, 4009, 2268, 11543, 8476, 1857, 543, 3621, 3007, 269, 901, 568, 9141, 676, 2188, 899, 3282, 1871, 26389, 267, 519, 10421, 585, 8476, 1648, 3354, 267, 6161, 936, 3154, 5434, 689, 8093, 10173, 267, 543, 1489, 689, 2229, 24307, 269, 769, 2342, 543, 1369, 519, 3345, 1977, 4182, 267, 2799, 1382, 543, 2504, 540, 6915, 30669, 723, 1044, 32486, 676, 1876, 563, 22137, 540, 1870, 3006, 2097, 689, 519, 4081, 4610, 540, 6694, 2797, 4346, 543, 2359, 2090, 267, 3335, 1634, 607, 1870, 2359, 547, 2344, 3606, 1646, 540, 1426, 11615, 267, 1896, 2229, 8041, 1489, 519, 2079, 543, 8313, 540, 2804, 2090, 543, 5359, 3695, 1870, 543, 1870, 2853, 269, 513, 1297, 540, 891, 2090, 1770, 593, 3536, 2813, 585, 13143, 543, 1770, 6508, 689, 8041, 6098, 593, 1426, 18666, 269, 1452, 8041, 18220, 519, 14579, 16581, 6796, 630, 293, 3008, 264, 540, 519, 772, 2529, 269, 4972, 540, 11982, 267, 11982, 543, 3397, 686, 6363, 797, 3345, 1977, 4182, 630, 8150, 15598, 1070, 3243, 8565, 267, 543, 1715, 6532, 11780, 543, 27617, 630, 301, 313, 15288, 1916, 763, 18966, 540, 4139, 11780, 4889, 725, 32245, 2090, 543, 5359, 676, 674, 3008, 543, 21191, 15598, 267, 11338, 607, 4244, 1875, 3766, 21194, 3906, 593, 922, 1357, 3135, 563, 305, 599, 589, 269, 7108, 6199, 22579, 519, 2165, 1870, 2059, 2427, 4745, 2278, 3627, 670, 269, 16026, 269, 2334, 25761, 960, 15244, 513, 7294, 3606, 5832, 602, 5956, 609, 519, 16027, 779, 6718, 540, 6079, 543, 13184, 543, 7475, 609, 513, 1587, 11807, 519, 7082, 779, 3349, 563, 13070, 1026, 5350, 10465, 23822, 618, 568, 9141, 676, 513, 3262, 540, 1895, 2962, 5777, 563, 6097, 547, 873, 4617, 24284, 2014, 3609, 1646, 543, 1514, 1852, 16135, 1369, 519, 4090, 267, 3079, 540, 6462, 30675, 543, 15826, 3157, 936, 942, 269, 0, 11266, 303, 568, 606, 28008, 585, 17934, 2280, 6762, 26736, 2742, 269, 17934, 7410, 616, 3638, 538, 2208, 2188, 267, 3976, 18398, 519, 5160, 602, 621, 568, 22280, 883, 563, 2171, 946, 1152, 15111, 9516, 1449, 13740, 543, 5820, 563, 11266, 303, 3568, 2027, 2281, 1572, 17934, 7410, 267, 602, 666, 2014, 2208, 540, 519, 4552, 32235, 676, 27985, 18398, 519, 6565, 2281, 4092, 538, 519, 667, 1069, 531, 14466, 8759, 607, 1134, 607, 824, 3889, 540, 519, 4552, 21155, 548, 1452, 2027, 17934, 2280, 2281, 8992, 7067, 267, 5787, 919, 519, 2557, 543, 4110, 540, 5160, 7067, 543, 20344, 267, 3210, 540, 519, 1560, 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 ]
[ 1648, 6165, 543, 2087, 4398, 269, 2060, 7029, 689, 2749, 8387, 267, 4961, 267, 543, 4213, 7567, 267, 4872, 666, 1711, 811, 4264, 5054, 1247, 849, 4227, 741, 2883, 11411, 563, 27793, 2506, 3827, 22159, 17644, 454, 27793, 5434, 5786, 568, 606, 1271, 3804, 585, 4872, 543, 25772, 3168, 547, 2569, 741, 2825, 1764, 269, 1677, 2743, 713, 3804, 267, 4872, 1590, 4225, 7341, 602, 786, 2569, 741, 3327, 11640, 269, 634, 1034, 2500, 2994, 1331, 28006, 547, 7791, 1648, 2959, 267, 5355, 1857, 6283, 1949, 267, 543, 5009, 1648, 4398, 3800, 563, 2690, 1383, 267, 1082, 4872, 723, 8045, 3859, 1648, 3292, 547, 948, 2569, 519, 2179, 540, 5201, 3812, 689, 1875, 3146, 2908, 762, 2959, 269, 3958, 267, 2749, 8387, 666, 1683, 15314, 585, 4213, 543, 4961, 547, 946, 811, 3608, 12331, 540, 3560, 971, 607, 1857, 18302, 610, 31610, 269, 2060, 2312, 3853, 543, 20440, 689, 1312, 2199, 6608, 543, 4961, 7567, 267, 621, 568, 2009, 585, 4872, 547, 2569, 741, 3327, 5434, 543, 1711, 513, 811, 4264, 2104, 563, 26660, 540, 5020, 11790, 454, 26660, 540, 1272, 568, 606, 1271, 3815, 585, 8159, 2436, 513, 2749, 568, 4264, 610, 711, 269, 20079, 609, 1164, 2298, 540, 1272, 4043, 547, 723, 2539, 2157, 540, 6760, 543, 5533, 267, 1732, 1569, 547, 3782, 543, 3872, 2533, 267, 811, 3039, 5624, 267, 543, 2362, 7694, 3928, 563, 12234, 267, 4872, 609, 1434, 2298, 540, 1272, 3335, 723, 2178, 1857, 6283, 1949, 267, 2922, 8027, 3681, 267, 543, 6325, 1648, 2959, 269, 10866, 540, 1272, 849, 2882, 1569, 547, 16351, 2238, 971, 607, 11614, 267, 8021, 267, 15882, 267, 543, 824, 2686, 29319, 602, 3986, 519, 2729, 540, 4961, 563, 5472, 891, 2188, 3565, 547, 2870, 513, 2635, 1604, 602, 666, 948, 2844, 513, 2749, 779, 2551, 936, 519, 1279, 2165, 269, 11086, 267, 5355, 519, 2298, 540, 1272, 538, 513, 2749, 786, 1118, 621, 811, 10694, 585, 4213, 543, 4961, 7567, 1107, 3056, 547, 3152, 2804, 1646, 543, 13884, 563, 26596, 12770, 281, 589, 26064, 538, 20885, 454, 26596, 12770, 568, 513, 3056, 1383, 540, 6940, 538, 519, 2475, 543, 814, 1831, 1634, 585, 922, 7029, 547, 3039, 7341, 269, 634, 2749, 814, 15748, 3875, 6940, 3853, 267, 971, 607, 4227, 8511, 3154, 5434, 676, 476, 2412, 260, 676, 476, 1708, 276, 269, 5842, 12770, 779, 11428, 547, 7791, 2959, 540, 1648, 267, 899, 3859, 8440, 543, 2842, 18434, 267, 723, 1500, 621, 835, 540, 519, 3039, 652, 4872, 538, 3345, 3013, 563, 1103, 1840, 267, 519, 2749, 814, 8045, 1896, 1648, 4398, 3800, 267, 1519, 3905, 1216, 28909, 543, 10896, 8654, 1949, 547, 2569, 5201, 4616, 269, 5015, 267, 5842, 12770, 814, 3964, 513, 3327, 16250, 23018, 3077, 585, 476, 13078, 271, 543, 568, 2921, 3268, 547, 2569, 922, 3327, 11640, 998, 4264, 6197, 2242, 563, 7661, 267, 5842, 12770, 568, 10115, 538, 3435, 547, 11574, 519, 4220, 2404, 609, 2067, 12469, 899, 16767, 267, 17160, 543, 23967, 602, 666, 21279, 513, 2749, 779, 5989, 269, 1306, 835, 540, 3013, 779, 2101, 4872, 267, 5842, 12770, 5713, 607, 513, 2203, 585, 824, 4872, 3168, 547, 2936, 4264, 2853, 602, 786, 948, 2327, 741, 1279, 3856, 1967, 563, 16675, 652, 4975, 538, 3345, 3013, 454, 26596, 12770, 568, 4922, 1634, 607, 835, 540, 519, 3039, 652, 4872, 538, 3345, 3013, 269, 634, 2749, 814, 8045, 513, 1297, 540, 6940, 7341, 267, 971, 607, 10115, 538, 7791, 2959, 540, 1648, 543, 4227, 922, 3327, 11640, 563, 26596, 12770, 814, 849, 2813, 513, 3102, 2916, 2962, 1544, 602, 6212, 593, 1232, 12365, 1944, 519, 4346, 267, 5009, 2973, 6283, 267, 543, 14027, 1648, 4398, 3800, 269, 769, 1840, 547, 891, 3646, 267, 519, 2749, 568, 2324, 547, 2569, 3653, 998, 24600, 3292, 543, 1426, 3653, 5786, 7341, 563, 26596, 12770, 849, 814, 3875, 11614, 267, 18162, 543, 824, 3039, 5624, 585, 4961, 547, 2972, 267, 1818, 621, 606, 4998, 1747, 547, 2661, 585, 1346, 3168, 585, 606, 10357, 7888, 6197, 269, 1306, 835, 540, 519, 2197, 779, 4102, 4872, 267, 5842, 12770, 568, 513, 6205, 538, 6940, 602, 5713, 607, 606, 1383, 585, 824, 4872, 2066, 519, 4182, 563, 30262, 1168, 762, 6052, 543, 9891, 7754, 1564, 454, 23530, 8440, 616, 513, 1390, 1259, 547, 2569, 519, 3327, 11640, 540, 1022, 1753, 610, 1870, 269, 1358, 6460, 519, 3141, 779, 1648, 883, 5201, 602, 666, 581, 1031, 547, 1379, 8279, 267, 14233, 267, 543, 824, 5907, 3457, 269, 9891, 8440, 616, 4742, 5051, 2442, 1813, 547, 741, 26622, 543, 13418, 563, 8253, 1152, 798, 789, 4688, 2724, 593, 10865, 1648, 12014, 267, 855, 789, 849, 948, 2569, 8511, 3154, 5434, 267, 4543, 547, 2149, 519, 1604, 689, 2417, 2800, 269, 3958, 267, 3859, 8440, 666, 1683, 3905, 1216, 585, 29636, 543, 8670, 31290, 267, 2059, 609, 8022, 585, 11255, 5624, 1282, 5162, 3275, 563, 23530, 1648, 568, 606, 1898, 851, 540, 513, 4264, 6197, 543, 666, 948, 4896, 1847, 6251, 2509, 8236, 6940, 3853, 563, 305, 14445, 532, 5682, 5264, 13937, 2506, 3827, 543, 12539, 14272, 2745, 454, 305, 14445, 532, 8511, 3154, 5434, 543, 3327, 11640, 666, 581, 6913, 998, 513, 3099, 540, 2409, 269, 2290, 1259, 568, 547, 2569, 1648, 4616, 269, 901, 2882, 7432, 1055, 610, 796, 680, 19982, 11418, 950, 711, 538, 946, 267, 15175, 547, 1648, 3608, 1769, 15620, 267, 543, 11067, 8286, 543, 9660, 609, 4411, 1216, 3079, 540, 3905, 563, 12234, 267, 10115, 538, 7791, 2959, 971, 607, 3859, 8440, 267, 2842, 18434, 267, 543, 24232, 1949, 666, 948, 3648, 2569, 519, 2179, 540, 1648, 10057, 269, 1452, 7791, 2959, 616, 4742, 811, 10097, 543, 2139, 607, 2029, 8441, 563, 5194, 1505, 585, 4227, 3327, 5434, 568, 547, 7413, 1426, 3653, 676, 1210, 2451, 13569, 610, 24600, 1426, 29578, 269, 26805, 519, 1297, 540, 1286, 15143, 3144, 568, 849, 6225, 607, 6517, 12520, 513, 1804, 2179, 540, 3327, 8166, 883, 519, 5790, 609, 1169, 13304, 9141, 563, 15563, 267, 10283, 538, 6940, 7341, 971, 607, 2146, 10651, 610, 2199, 16027, 779, 6990, 666, 948, 3895, 3039, 2713, 1369, 2199, 2950, 1247, 849, 8220, 1004, 609, 2199, 2200, 585, 4195, 3536, 543, 5370, 269, 14171, 891, 3268, 786, 948, 4896, 1831, 851, 540, 519, 3070, 585, 4227, 8511, 3154, 5434, 543, 16756, 532, 741, 3327, 11640, 563, 306, 20980, 27999, 31346, 543, 9024, 328, 2510, 454, 29670, 513, 4264, 6197, 568, 4742, 5051, 1271, 585, 4227, 835, 779, 3327, 11640, 543, 4543, 519, 1604, 269, 2755, 972, 616, 1082, 2081, 547, 2569, 835, 779, 2825, 1764, 267, 519, 1034, 2500, 1259, 568, 547, 1118, 1507, 2242, 538, 3232, 6208, 563, 1607, 2882, 1818, 6857, 3664, 950, 9140, 2472, 971, 607, 30788, 13324, 3457, 610, 7622, 3688, 267, 10115, 538, 7791, 1648, 2959, 1141, 2139, 267, 543, 10283, 538, 6940, 7341, 563, 7883, 532, 3039, 3085, 1406, 2154, 2462, 2242, 1318, 2476, 282, 1507, 3268, 666, 1039, 909, 936, 942, 269, 1280, 1383, 267, 1210, 23431, 11435, 3079, 540, 5068, 3283, 950, 17365, 10918, 610, 2921, 1857, 6283, 3079, 540, 6117, 666, 723, 513, 2318, 1764, 593, 519, 1604, 563, 12234, 267, 9657, 2025, 2326, 883, 1007, 2472, 610, 10115, 538, 1648, 3608, 14233, 786, 849, 948, 2569, 707, 3327, 11640, 269, 7053, 267, 3478, 3238, 609, 2199, 2825, 2516, 543, 24749, 585, 2199, 2973, 5346, 7341, 666, 581, 513, 1390, 1259, 547, 1451, 811, 827, 6940, 543, 2743, 824, 1004, 945, 616, 8149, 547, 2713, 606, 10357, 7888, 6197, 563, 29670, 30396, 568, 24276, 676, 4896, 8348, 547, 1118, 1507, 11941, 547, 741, 6296, 267, 543, 621, 568, 606, 1271, 1900, 2509, 8497, 938, 4541, 585, 2104, 5481, 563, 29670, 30396, 568, 513, 2101, 851, 540, 7863, 519, 1604, 543, 666, 581, 6913, 676, 4896, 8348, 547, 1118, 1507, 11941, 538, 741, 6197, 269, 12655, 7341, 971, 607, 1210, 7791, 1648, 2959, 267, 10115, 538, 1648, 3608, 14233, 267, 543, 10283, 538, 2199, 2973, 5346, 7341, 666, 782, 948, 2569, 835, 779, 3327, 11640, 543, 3565, 547, 513, 8902, 4541, 563, 27407, 267, 2713, 30396, 3340, 7029, 543, 11428, 267, 855, 621, 568, 1898, 547, 8497, 938, 4541, 585, 2104, 5481, 269, 2060, 519, 1318, 1702, 543, 2200, 267, 3025, 666, 1118, 513, 2318, 1764, 593, 519, 1604, 998, 4264, 2713, 269, 0, 28308, 1565, 568, 513, 15410, 540, 5841, 4987, 630, 9590, 264, 602, 13147, 923, 519, 2623, 540, 519, 1480, 2634, 538, 4393, 1239, 543, 2870, 3270, 585, 946, 538, 3375, 1818, 563, 2005, 3096, 6620, 547, 1184, 1804, 14449, 543, 5352, 4030, 689, 873, 563, 272, 269, 1548, 616, 519, 3119, 2409, 1031, 585, 2620, 1565, 888, 763, 3119, 2409, 1031, 585, 2620, 1565, 616, 14464, 22532, 17978, 267, 1230, 23728, 531, 22532, 17978, 267, 1234, 9690, 22532, 17978, 267, 9198, 894, 1520, 951, 25106, 17978, 267, 543, 8641, 22532, 17978, 563, 273, 269, 1548, 568, 519, 3017, 1063, 2757, 3684, 1565, 543, 2620, 1565, 888, 25565, 3684, 1565, 3335, 3096, 6620, 602, 1118, 10054, 827, 519, 1239, 267, 1247, 2620, 1565, 6620, 7048, 593, 2789, 6106, 540, 8849, 5121, 547, 1451, 3270, 538, 519, 1239, 1510, 1818, 10054, 563, 28308, 1565, 568, 811, 3532, 267, 855, 568, 849, 811, 1939, 14260, 14021, 982, 2757, 3684, 1565, 563, 274, 269, 1215, 1281, 2620, 1565, 8428, 689, 824, 2010, 540, 3684, 1565, 888, 28308, 1565, 6620, 3335, 946, 5841, 8849, 5121, 267, 799, 616, 6106, 540, 6310, 3252, 602, 946, 1239, 547, 1628, 3631, 563, 19284, 2757, 3684, 1565, 267, 2620, 1565, 1281, 711, 7048, 593, 1022, 1991, 10054, 827, 519, 1239, 282, 3079, 267, 621, 25395, 3270, 538, 519, 1239, 593, 922, 1378, 563, 12234, 267, 2620, 1565, 6620, 616, 5827, 540, 2921, 5413, 540, 3677, 5666, 540, 1239, 982, 2757, 3684, 1565, 6620, 267, 607, 1134, 607, 2324, 609, 811, 1950, 1239, 11378, 971, 607, 2592, 267, 3280, 267, 543, 1257, 563, 275, 269, 1548, 616, 930, 2640, 540, 2620, 1565, 888, 5278, 540, 519, 1292, 2640, 540, 2620, 1565, 616, 2799, 6111, 267, 5488, 543, 12747, 4183, 4702, 267, 2799, 25382, 267, 2799, 4398, 267, 543, 4824, 31633, 563, 4415, 2620, 1565, 267, 596, 1205, 811, 4977, 2164, 7064, 547, 4514, 6106, 543, 811, 1950, 5121, 267, 7132, 10156, 2866, 2053, 543, 606, 4443, 1259, 547, 19820, 6724, 563, 12234, 267, 2620, 1565, 6620, 616, 2111, 547, 1732, 2489, 1125, 519, 1239, 267, 2495, 789, 666, 1451, 689, 621, 1256, 952, 621, 568, 856, 540, 519, 2866, 10471, 563, 276, 269, 1548, 2042, 666, 2620, 1565, 948, 4194, 888, 28308, 1565, 666, 581, 1031, 547, 4194, 513, 2647, 2039, 540, 2042, 267, 689, 2067, 1893, 4393, 547, 2780, 5075, 543, 16762, 12642, 563, 13349, 3156, 540, 2620, 1565, 1331, 3239, 8760, 267, 5639, 6284, 267, 1257, 5108, 543, 2079, 267, 543, 3684, 8144, 563, 28308, 1565, 666, 849, 581, 1031, 585, 20925, 543, 31096, 7020, 267, 607, 1134, 607, 2564, 26129, 543, 2564, 3239, 2079, 563, 277, 269, 1548, 616, 1455, 3156, 540, 2620, 1565, 888, 13349, 3156, 540, 2620, 1565, 1331, 3239, 8760, 267, 5639, 6284, 267, 1257, 5108, 543, 2079, 267, 3684, 8144, 267, 20925, 543, 31096, 7020, 267, 607, 1134, 607, 2564, 26129, 543, 2564, 3239, 2079, 563, 278, 269, 1548, 2010, 540, 14449, 616, 1655, 14018, 585, 2620, 1565, 888, 300, 22389, 1565, 6620, 616, 3335, 1031, 609, 1239, 5036, 602, 616, 6353, 676, 513, 1804, 1297, 540, 10230, 543, 28547, 10305, 563, 28308, 1565, 568, 1031, 609, 1239, 602, 814, 1164, 21021, 543, 1950, 1239, 267, 971, 607, 2592, 543, 8301, 563, 3383, 14449, 602, 723, 513, 1804, 2179, 540, 10230, 267, 28547, 267, 3239, 610, 8301, 1239, 616, 4998, 585, 7311, 2620, 1565, 6620, 563, 279, 269, 1548, 2591, 616, 2404, 609, 2620, 1565, 888, 5278, 540, 519, 1292, 2591, 2404, 609, 2620, 1565, 1331, 281, 3668, 540, 1239, 543, 13042, 1239, 267, 7411, 2866, 2620, 1565, 3631, 267, 1164, 12985, 4170, 267, 936, 7257, 1154, 267, 543, 5690, 545, 10148, 563, 8448, 2591, 1331, 7411, 1620, 1950, 5121, 267, 7411, 16208, 3631, 267, 543, 7411, 11766, 532, 543, 4509, 3631, 563, 280, 269, 1548, 568, 519, 2104, 540, 2620, 1565, 888, 1103, 519, 2104, 267, 2620, 1565, 786, 1831, 5051, 10427, 543, 1683, 3435, 547, 930, 540, 519, 1034, 1950, 2042, 649, 616, 4867, 6849, 563, 2005, 786, 581, 1031, 585, 16762, 12642, 267, 14628, 17562, 267, 2067, 1893, 4393, 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 ]
[ 338, 16577, 10322, 16478, 267, 543, 11547, 609, 25062, 30341, 1216, 8499, 585, 476, 274, 8894, 20278, 519, 9496, 4388, 593, 25062, 6882, 1957, 563, 295, 1245, 519, 6565, 16119, 609, 513, 3196, 335, 543, 4894, 519, 1762, 3762, 609, 513, 13549, 563, 7230, 913, 519, 5817, 6978, 2215, 867, 807, 7930, 563, 7230, 913, 909, 547, 519, 476, 274, 6113, 543, 476, 275, 628, 6978, 2215, 867, 807, 543, 1832, 16856, 519, 476, 272, 560, 543, 476, 273, 526, 6978, 454, 27146, 867, 807, 5402, 1510, 14124, 519, 17866, 26434, 8032, 3284, 673, 5789, 626, 655, 563, 4415, 513, 10551, 21435, 601, 4894, 519, 3284, 673, 26434, 630, 271, 269, 272, 268, 271, 269, 274, 6515, 1916, 9558, 2536, 519, 26434, 547, 519, 2528, 13740, 5627, 5420, 563, 763, 2528, 13740, 2226, 693, 476, 1839, 13008, 476, 273, 4113, 595, 585, 476, 1321, 554, 1769, 630, 4968, 271, 12743, 8358, 1321, 554, 4158, 4783, 563, 294, 9512, 543, 1646, 912, 20751, 476, 273, 268, 274, 4374, 540, 26912, 1637, 3284, 673, 5789, 626, 655, 9428, 543, 3029, 22534, 563, 10376, 2582, 9496, 10929, 18735, 267, 891, 22534, 616, 9674, 543, 454, 322, 738, 3293, 538, 3597, 532, 2923, 563, 305, 2393, 22612, 4386, 1369, 476, 1240, 268, 2641, 2395, 540, 26912, 1637, 563, 5629, 519, 2030, 2280, 814, 1079, 547, 1614, 3762, 543, 2178, 3597, 267, 789, 616, 454, 10520, 31084, 547, 5277, 21828, 2923, 609, 519, 948, 540, 7433, 15167, 454, 5475, 827, 476, 279, 4374, 519, 2030, 7410, 616, 865, 8898, 538, 476, 271, 269, 273, 260, 28554, 27599, 514, 513, 9033, 8336, 454, 1721, 476, 1015, 1295, 543, 616, 1494, 1540, 538, 2357, 6193, 592, 924, 7848, 267, 11489, 789, 1332, 563, 303, 3174, 540, 3644, 1863, 10351, 680, 11047, 563, 22709, 2504, 540, 14909, 1024, 8040, 563, 293, 659, 10949, 540, 5385, 1063, 6753, 630, 335, 3174, 540, 2973, 1570, 1916, 290, 787, 641, 637, 3569, 630, 322, 1245, 4859, 264, 610, 538, 20117, 5726, 540, 10351, 680, 11047, 563, 4754, 3132, 3644, 6954, 2030, 7410, 585, 25132, 1886, 698, 566, 543, 3486, 454, 1410, 4219, 540, 10351, 680, 11047, 563, 309, 21905, 6414, 538, 519, 3543, 894, 2030, 2694, 267, 799, 616, 1031, 585, 454, 1892, 10613, 538, 2030, 5160, 2528, 676, 772, 269, 27958, 0, 4696, 291, 8453, 4959, 589, 8863, 305, 2177, 2975, 267, 23781, 4338, 306, 5058, 645, 6938, 2562, 20591, 292, 17955, 272, 267, 273, 454, 11754, 2109, 568, 513, 18596, 2634, 2068, 609, 2168, 543, 12214, 2360, 269, 272, 267, 273, 18641, 267, 899, 1082, 824, 3676, 267, 23776, 543, 4568, 8213, 666, 581, 5701, 267, 543, 2550, 666, 1205, 593, 513, 2619, 547, 6051, 563, 8139, 875, 4568, 543, 17414, 6950, 1860, 519, 2634, 454, 31416, 4525, 2404, 609, 13829, 454, 291, 11163, 5540, 1312, 519, 16794, 543, 519, 18215, 545, 1062, 269, 273, 454, 290, 1735, 1088, 532, 9072, 519, 16794, 547, 948, 1521, 519, 5626, 3344, 540, 13829, 269, 634, 16794, 568, 3743, 585, 912, 8469, 1709, 9072, 519, 18215, 545, 3148, 547, 948, 1521, 519, 2168, 2360, 540, 13829, 269, 634, 18215, 545, 3148, 568, 3743, 585, 912, 268, 9978, 11479, 610, 2712, 2471, 454, 21675, 3292, 1331, 13508, 543, 1514, 1489, 547, 1521, 519, 5626, 3344, 540, 8213, 269, 1358, 949, 849, 1331, 6646, 547, 948, 1521, 519, 2168, 2360, 540, 8213, 269, 272, 267, 273, 454, 763, 11020, 543, 15850, 2422, 454, 7804, 9722, 4568, 666, 2014, 606, 2799, 5305, 540, 1439, 18100, 1439, 6973, 1231, 267, 799, 666, 12622, 547, 23776, 13364, 543, 12954, 519, 22006, 8007, 1062, 269, 1280, 930, 1004, 267, 713, 2799, 22006, 5305, 666, 2014, 873, 547, 3343, 856, 713, 4743, 1586, 543, 1586, 269, 274, 454, 763, 11020, 543, 744, 7032, 1355, 2422, 454, 295, 3266, 514, 543, 13310, 1928, 17212, 951, 616, 608, 18100, 17414, 6950, 269, 1879, 789, 12622, 547, 23776, 13364, 538, 519, 2634, 267, 519, 4611, 22006, 5305, 666, 581, 476, 273, 1700, 1015, 2053, 3152, 982, 519, 22006, 5305, 2404, 609, 2067, 5418, 9778, 269, 901, 4430, 540, 22006, 814, 513, 3532, 17923, 1198, 593, 519, 2634, 267, 799, 568, 1946, 17414, 6950, 723, 513, 1164, 1761, 585, 6057, 269, 273, 454, 1432, 568, 13878, 888, 8469, 1709, 29374, 2126, 630, 21316, 264, 568, 513, 4999, 540, 6646, 543, 3797, 1031, 547, 1521, 6219, 946, 4713, 267, 1519, 23776, 946, 4524, 543, 4568, 946, 4524, 269, 275, 9537, 540, 13878, 585, 23776, 13829, 912, 17359, 23776, 30748, 1235, 454, 17359, 23776, 30748, 1235, 8936, 547, 543, 19334, 23776, 13364, 538, 519, 1482, 1259, 607, 23776, 5061, 267, 971, 607, 5869, 514, 267, 24254, 519, 2634, 781, 12257, 3210, 269, 275, 267, 276, 454, 9989, 711, 2154, 19140, 1354, 22612, 454, 8512, 658, 23776, 30748, 1235, 454, 8512, 658, 23776, 30748, 1235, 19334, 519, 1482, 18665, 19945, 328, 1355, 13364, 607, 2407, 30748, 1235, 267, 24254, 513, 811, 3908, 3210, 540, 22006, 269, 276, 454, 9989, 711, 2154, 19140, 1354, 22612, 454, 302, 7032, 1355, 21087, 1235, 8013, 569, 12622, 547, 18665, 19945, 328, 1355, 13364, 543, 3625, 23776, 5061, 689, 11006, 547, 891, 13364, 269, 634, 3625, 1228, 11151, 519, 23776, 3075, 689, 18398, 519, 22006, 8007, 13374, 269, 276, 267, 277, 267, 278, 454, 26473, 2231, 19140, 1354, 22612, 454, 295, 8582, 966, 4353, 3951, 4629, 299, 20796, 16775, 454, 309, 4353, 3951, 4629, 299, 568, 606, 23776, 21087, 626, 269, 278, 6258, 811, 827, 5356, 966, 4353, 3951, 4629, 299, 543, 13508, 607, 851, 540, 707, 1982, 563, 9128, 293, 2975, 3722, 312, 6730, 14408, 293, 4953, 312, 454, 9596, 811, 827, 519, 2640, 543, 4220, 540, 966, 4353, 3951, 4629, 299, 563, 5970, 2055, 827, 966, 4353, 3951, 4629, 299, 286, 6744, 856, 938, 1627, 26031, 3296, 585, 4267, 602, 949, 948, 563, 309, 4353, 3951, 4629, 299, 568, 711, 1318, 585, 3025, 269, 1703, 616, 1713, 4220, 689, 966, 4353, 3951, 4629, 299, 2126, 267, 1519, 855, 711, 3908, 547, 267, 1981, 540, 23776, 30072, 267, 13297, 3135, 5114, 543, 6727, 23776, 15639, 269, 6423, 12830, 8881, 6176, 2630, 563, 268, 2817, 4659, 593, 10684, 18816, 269, 9615, 22604, 585, 10684, 24251, 269, 4179, 2517, 4178, 6155, 2607, 629, 2224, 10993, 4882, 2572, 270, 29239, 11721, 3796, 7933, 2607, 30440, 2389, 13015, 1952, 30294, 15005, 269, 21213, 5147, 476, 1001, 277, 269, 21700, 4864, 476, 278, 267, 476, 1001, 278, 563, 268, 2817, 4659, 593, 10684, 18816, 269, 24391, 267, 4858, 1231, 267, 543, 10263, 281, 634, 3163, 540, 5410, 11881, 269, 22078, 295, 22910, 3143, 269, 476, 1691, 268, 28794, 277, 269, 4179, 2517, 4178, 6155, 2607, 629, 2224, 10993, 4882, 2572, 270, 29239, 11721, 3796, 270, 810, 320, 318, 1001, 275, 15005, 269, 4860, 2213, 5147, 476, 1001, 275, 269, 21700, 4864, 476, 279, 267, 476, 1001, 278, 563, 268, 4173, 345, 589, 269, 7736, 18100, 23776, 1949, 543, 4568, 8213, 269, 5369, 2684, 29108, 1108, 630, 29155, 331, 1040, 476, 1960, 278, 282, 15782, 263, 273, 2567, 4200, 268, 9340, 563, 268, 4741, 585, 28548, 18816, 9615, 269, 2405, 1709, 5025, 1087, 13554, 9615, 585, 744, 7032, 1355, 24251, 538, 744, 7032, 1355, 9615, 15789, 269, 9615, 26094, 5358, 630, 2316, 303, 264, 476, 6246, 269, 667, 295, 9391, 22910, 3143, 269, 630, 306, 7246, 264, 476, 1321, 268, 275, 2641, 275, 269, 476, 1220, 276, 563, 268, 8433, 540, 2817, 10684, 6513, 8889, 269, 16195, 16684, 281, 2405, 1709, 29374, 2126, 585, 23776, 8213, 269, 4179, 2517, 984, 600, 1177, 327, 924, 5264, 269, 1105, 1161, 10993, 4882, 2572, 270, 29239, 11721, 3796, 270, 1180, 31983, 22812, 11734, 270, 4364, 1709, 318, 817, 13554, 4671, 13015, 318, 280, 268, 2641, 268, 1001, 2641, 15005, 269, 5181, 476, 1001, 273, 269, 21700, 4864, 476, 279, 267, 476, 1001, 278, 563, 268, 918, 739, 523, 13138, 267, 6723, 570, 303, 269, 634, 5778, 321, 5735, 540, 23776, 13829, 281, 6286, 585, 2126, 269, 2233, 4698, 6431, 1051, 269, 476, 1220, 273, 282, 272, 263, 272, 2567, 1724, 268, 736, 563, 268, 966, 4353, 3951, 4629, 299, 1496, 26078, 21564, 1344, 4940, 654, 953, 600, 267, 10790, 281, 1325, 330, 1069, 525, 267, 5549, 5919, 2847, 5412, 476, 1001, 279, 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 ]
[ 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 12163, 12041, 281, 9149, 836, 299, 21628, 2098, 295, 2894, 294, 454, 14630, 912, 17572, 13517, 454, 20701, 5228, 6449, 325, 1956, 1029, 1104, 1820, 6958, 4233, 454, 5814, 19523, 454, 5814, 2415, 27785, 454, 5228, 15044, 935, 1555, 619, 1104, 590, 9285, 8266, 692, 5035, 8827, 24998, 2187, 825, 1219, 1711, 306, 9285, 26161, 4311, 267, 5528, 2187, 1038, 8173, 1038, 2433, 6943, 5528, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 1948, 476, 272, 1547, 570, 4041, 8827, 454, 1038, 23288, 1038, 759, 815, 476, 271, 692, 1038, 952, 7003, 263, 13318, 15297, 264, 10922, 476, 273, 912, 2018, 2132, 476, 271, 692, 1038, 1219, 5173, 5416, 2187, 2018, 524, 318, 1652, 815, 476, 271, 454, 2018, 524, 14682, 805, 815, 476, 271, 454, 2018, 585, 1775, 538, 2039, 12759, 5416, 9984, 272, 2187, 3546, 952, 513, 5157, 316, 2652, 513, 314, 6352, 5416, 9984, 272, 14158, 7386, 3136, 454, 3546, 952, 513, 5157, 316, 2999, 513, 314, 6352, 5416, 9984, 272, 14158, 7386, 524, 318, 1652, 6834, 476, 272, 454, 3546, 952, 513, 5157, 316, 3436, 513, 314, 6352, 5416, 9984, 272, 14158, 7386, 524, 14682, 805, 6834, 476, 272, 454, 2018, 2132, 524, 318, 1652, 267, 524, 14682, 805, 692, 1038, 585, 1775, 538, 2039, 263, 273, 267, 7003, 263, 13318, 15297, 15892, 2018, 524, 318, 1652, 267, 524, 14682, 805, 815, 5173, 263, 13318, 15297, 11468, 328, 266, 272, 7481, 2018, 759, 815, 759, 1341, 1295, 6262, 318, 1652, 267, 524, 14682, 805, 994, 1038, 2132, 759, 454, 1038, 23288, 1038, 759, 815, 476, 271, 454, 1038, 1775, 8266, 815, 590, 9285, 8266, 4590, 1038, 585, 1003, 538, 5528, 912, 2018, 1948, 3160, 9570, 711, 1293, 267, 946, 9352, 3406, 547, 1293, 454, 2018, 759, 6834, 1295, 9217, 8266, 12500, 529, 624, 318, 3847, 16325, 1070, 7003, 9217, 8266, 264, 910, 328, 8266, 12500, 529, 624, 318, 2431, 16325, 4917, 2018, 1948, 7712, 519, 2626, 949, 581, 1804, 267, 2132, 621, 1110, 25222, 476, 11820, 1341, 476, 278, 454, 2018, 759, 4939, 284, 476, 1015, 1262, 280, 1341, 476, 278, 454, 2018, 1775, 8266, 14491, 16325, 2020, 1038, 2132, 759, 454, 3698, 1292, 10031, 825, 1780, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 10797, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 272, 15073, 836, 2993, 836, 2999, 2993, 836, 2993, 836, 287, 299, 21628, 2993, 836, 338, 5336, 659, 9349, 5025, 597, 7456, 5914, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 563, 258, 5124, 5358, 585, 9769, 1922, 785, 5690, 547, 3713, 4783, 538, 513, 3768, 20526, 3113, 454, 258, 649, 723, 835, 19838, 1372, 585, 1022, 1079, 14584, 1775, 4318, 476, 272, 268, 273, 568, 2901, 476, 272, 268, 273, 610, 476, 273, 268, 272, 855, 711, 1312, 692, 5035, 5742, 8340, 13729, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 562, 2187, 1038, 1582, 11519, 18499, 815, 1496, 328, 585, 1775, 538, 2039, 3799, 1341, 476, 272, 22708, 1038, 1582, 11519, 337, 3471, 815, 1496, 272, 585, 1775, 538, 2039, 3799, 1341, 476, 272, 22708, 8931, 825, 1219, 1265, 4311, 267, 579, 2187, 1038, 1247, 579, 11203, 1582, 11519, 18499, 314, 340, 14158, 2018, 1948, 2619, 13496, 454, 2018, 1582, 11519, 18499, 314, 340, 316, 815, 1582, 11519, 18499, 314, 1345, 11519, 18499, 314, 340, 27663, 2018, 579, 815, 1582, 11519, 18499, 314, 340, 2639, 1038, 2132, 579, 22562, 825, 1219, 9769, 4311, 267, 579, 267, 642, 2187, 1038, 4996, 267, 533, 341, 815, 1582, 26098, 26086, 1070, 1582, 26098, 17635, 994, 1038, 952, 4996, 2652, 533, 341, 281, 2132, 8771, 28329, 1038, 952, 1582, 11519, 337, 3471, 314, 30298, 316, 2999, 1582, 11519, 337, 3471, 314, 335, 341, 14158, 2018, 1582, 11519, 18499, 314, 30298, 316, 815, 533, 341, 454, 1038, 8640, 1582, 11519, 337, 3471, 314, 30298, 316, 3436, 1582, 11519, 337, 3471, 314, 335, 341, 14158, 2018, 1582, 11519, 18499, 314, 335, 341, 316, 815, 4996, 454, 1038, 3116, 281, 13872, 2018, 1582, 11519, 18499, 314, 335, 341, 316, 815, 4996, 454, 2018, 1582, 11519, 337, 3471, 314, 30298, 316, 6834, 476, 272, 28329, 1038, 2132, 6936, 454, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 454, 5035, 8827, 24998, 2187, 825, 1219, 9258, 8266, 4311, 267, 2212, 2187, 1038, 8173, 1038, 2433, 6943, 2212, 281, 5903, 11966, 454, 1038, 2433, 337, 6943, 281, 5903, 11966, 454, 1038, 8173, 258, 1363, 533, 815, 7183, 3097, 258, 1363, 524, 815, 2212, 3097, 258, 1363, 562, 815, 7183, 3097, 258, 1363, 1247, 524, 912, 258, 17264, 1948, 13127, 362, 504, 18263, 487, 454, 258, 17264, 562, 815, 524, 12785, 3097, 258, 17264, 1948, 476, 9463, 491, 420, 377, 361, 3097, 258, 17264, 524, 12785, 815, 533, 454, 258, 17264, 1948, 476, 31284, 13601, 27882, 354, 3097, 258, 17264, 533, 815, 524, 3097, 258, 17264, 524, 815, 562, 28329, 258, 1363, 2132, 533, 692, 1038, 952, 711, 2212, 610, 711, 2212, 12785, 912, 2018, 2132, 2212, 3097, 13872, 1038, 2063, 815, 1582, 18622, 2091, 8266, 263, 3650, 12785, 994, 13872, 1038, 2212, 12785, 12785, 815, 2212, 3097, 1038, 2212, 12785, 815, 7183, 3097, 13872, 1038, 2132, 2063, 454, 4449, 8931, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 274, 15073, 836, 2993, 836, 2999, 2993, 836, 2993, 836, 287, 299, 21628, 2993, 836, 338, 5336, 659, 9349, 5025, 597, 7456, 5914, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 563, 5035, 8827, 912, 825, 1219, 2189, 303, 23411, 4311, 267, 544, 281, 703, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 1948, 31185, 5157, 6012, 329, 316, 1797, 1297, 540, 2009, 2189, 10092, 3914, 547, 5377, 1318, 3097, 1038, 952, 544, 2652, 476, 272, 610, 562, 2652, 476, 272, 281, 2132, 476, 272, 454, 1038, 31185, 815, 20886, 272, 585, 9041, 538, 2039, 3799, 13580, 585, 9041, 538, 2039, 9852, 264, 6540, 1038, 585, 1775, 538, 2039, 263, 272, 267, 544, 2187, 2018, 585, 795, 538, 2039, 263, 272, 267, 562, 2187, 3546, 1820, 9217, 267, 795, 994, 3546, 31185, 5157, 6012, 329, 316, 815, 476, 31185, 5157, 6012, 329, 268, 272, 316, 1341, 31185, 5157, 268, 272, 6012, 329, 2639, 13872, 1038, 2132, 31185, 15631, 272, 6012, 268, 272, 2639, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 12163, 12041, 281, 9149, 836, 299, 21628, 2098, 295, 2894, 294, 454, 14630, 912, 17572, 13517, 454, 20701, 5228, 6449, 325, 1956, 1029, 1104, 1820, 6958, 4233, 454, 5814, 19523, 454, 5814, 2415, 27785, 454, 5035, 8827, 24998, 2187, 825, 1219, 1265, 308, 985, 9285, 8138, 6783, 4311, 267, 15358, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 281, 5903, 27776, 2639, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 562, 815, 7003, 25225, 9984, 272, 454, 1038, 2212, 267, 2766, 815, 10581, 3488, 8882, 30670, 10581, 3488, 268, 8882, 5073, 1038, 3193, 11749, 267, 1295, 11749, 815, 15358, 314, 271, 3910, 15358, 15631, 272, 6540, 1038, 585, 1775, 538, 2039, 3799, 266, 272, 2187, 2018, 1948, 4855, 2766, 563, 2018, 952, 15358, 5157, 316, 2999, 3193, 11749, 912, 3546, 2766, 815, 1775, 454, 2018, 3116, 912, 3546, 3193, 11749, 815, 15358, 5157, 2639, 2018, 1948, 4855, 2212, 563, 2018, 952, 15358, 19559, 25829, 316, 3436, 1295, 11749, 912, 3546, 2212, 815, 562, 25829, 454, 2018, 3116, 912, 3546, 1295, 11749, 815, 15358, 19559, 25829, 6540, 1038, 2132, 2766, 268, 3650, 266, 272, 952, 2212, 2999, 2766, 3116, 476, 271, 454, 3698, 1292, 10031, 825, 1780, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 10797, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 273, 15073, 836, 2993, 836, 2999, 2993, 836, 2993, 836, 287, 299, 21628, 2993, 836, 338, 5336, 659, 9349, 5025, 597, 7456, 5914, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 563, 5035, 8827, 24998, 2187, 825, 1219, 1293, 11749, 573, 24552, 4311, 267, 4845, 2187, 1038, 8173, 1038, 2433, 6943, 4845, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 759, 815, 476, 271, 454, 1038, 4806, 815, 556, 2593, 335, 850, 16868, 257, 317, 8443, 320, 22271, 27994, 8987, 286, 314, 320, 22271, 27994, 21663, 21663, 314, 256, 24689, 269, 347, 267, 316, 286, 259, 5602, 1038, 4845, 8217, 815, 4845, 21858, 3488, 30386, 1038, 585, 2262, 538, 4845, 8217, 912, 2018, 952, 2262, 912, 3546, 1267, 815, 4806, 26098, 718, 27182, 994, 3546, 952, 1267, 912, 7386, 759, 6834, 476, 272, 454, 1038, 2132, 759, 454, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 273, 15073, 836, 2993, 836, 2999, 2993, 836, 2993, 836, 287, 299, 21628, 2993, 836, 338, 5336, 659, 9349, 5025, 597, 7456, 5914, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 563, 5035, 11426, 1805, 871, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 3193, 23917, 2187, 1038, 8173, 1038, 2433, 6943, 3193, 23917, 281, 703, 454, 1038, 8173, 1038, 1582, 27982, 23917, 815, 3193, 23917, 454, 1038, 1582, 14714, 871, 815, 11713, 825, 1219, 7903, 4311, 267, 1535, 2187, 1038, 8173, 1038, 2433, 6943, 1535, 281, 703, 454, 1038, 2433, 337, 6943, 281, 7183, 454, 1038, 8173, 1038, 952, 7003, 4311, 14714, 871, 264, 2999, 1582, 27982, 23917, 912, 2018, 1582, 14714, 871, 6910, 3287, 2020, 825, 1219, 1402, 4311, 2187, 1038, 8173, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 952, 1582, 14714, 871, 912, 2018, 2132, 1582, 14714, 871, 21014, 8987, 272, 994, 1038, 3116, 912, 2018, 2132, 910, 272, 3097, 13872, 825, 1219, 27261, 4311, 267, 737, 267, 1130, 2187, 1038, 8173, 1038, 2433, 6943, 737, 281, 703, 454, 1038, 2433, 6943, 1130, 281, 703, 454, 1038, 2433, 337, 6943, 281, 7183, 454, 1038, 8173, 1038, 585, 1775, 538, 2039, 263, 2381, 17347, 267, 7003, 4311, 14714, 871, 4297, 2187, 2018, 1582, 14714, 871, 5157, 316, 6834, 1130, 7531, 258, 2659, 11426, 1805, 871, 1843, 786, 581, 8216, 7007, 543, 1572, 607, 971, 912, 258, 1073, 329, 815, 11426, 1805, 871, 32384, 23917, 994, 258, 1073, 329, 4877, 2313, 3287, 994, 258, 4164, 318, 273, 815, 1073, 329, 21014, 4590, 258, 1073, 329, 23357, 920, 618, 17347, 267, 1998, 994, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 642, 574, 281, 325, 16780, 284, 583, 325, 268, 279, 454, 16482, 258, 14645, 9736, 476, 1708, 273, 15073, 836, 2993, 836, 2999, 2993, 836, 2993, 836, 287, 299, 21628, 2993, 836, 338, 5336, 659, 9349, 5025, 597, 7456, 5914, 11417, 16482, 258, 20518, 3176, 896, 2474, 540, 519, 20037, 12689, 563, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 3328, 8170, 8138, 29728, 4311, 267, 3597, 281, 8838, 1308, 314, 21698, 11966, 8079, 9847, 703, 912, 1038, 1582, 269, 637, 815, 476, 271, 692, 1038, 1219, 546 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1007, 1641, 3533, 269, 3776, 4274, 4589, 9192, 5013, 267, 2079, 267, 5133, 267, 1007, 2093, 267, 543, 15131, 547, 1118, 4277, 543, 4101, 3584, 3810, 28505, 563, 6546, 2530, 689, 519, 12084, 1058, 581, 10630, 538, 513, 2539, 4262, 1377, 2429, 519, 454, 16447, 1547, 634, 13621, 540, 27224, 4672, 693, 519, 1439, 540, 519, 10979, 6520, 1131, 1267, 538, 519, 454, 8873, 540, 1216, 547, 519, 5836, 2073, 4611, 538, 513, 4473, 538, 4262, 1377, 1547, 769, 5758, 2073, 519, 454, 12041, 281, 8176, 700, 269, 631, 1846, 577, 454, 21812, 281, 1715, 3840, 2433, 17755, 3863, 6953, 650, 454, 15239, 14482, 1013, 673, 269, 22291, 1344, 593, 22260, 267, 30961, 20569, 267, 12225, 1108, 543, 6436, 540, 4672, 6502, 563, 1862, 476, 5611, 268, 7906, 267, 476, 9965, 670, 22976, 9440, 18373, 267, 476, 7918, 267, 476, 272, 476, 2641, 267, 476, 28510, 267, 476, 18231, 594, 12650, 675, 519, 16836, 267, 476, 13040, 2676, 22659, 267, 476, 29257, 594, 1261, 731, 519, 26449, 11910, 3733, 8745, 267, 476, 4200, 267, 476, 13970, 267, 476, 28434, 594, 918, 1170, 539, 25441, 6153, 25742, 2676, 26951, 594, 5457, 14466, 320, 267, 476, 5655, 10979, 693, 519, 7736, 540, 519, 2622, 267, 476, 272, 476, 10436, 1403, 1411, 11146, 2725, 267, 476, 3607, 2676, 12041, 281, 3794, 611, 903, 15391, 454, 20055, 2659, 24635, 595, 2255, 519, 17151, 13717, 7335, 645, 1872, 13034, 2292, 585, 513, 24635, 779, 9839, 28542, 856, 875, 1434, 2835, 666, 948, 596, 543, 707, 21717, 5968, 2295, 3562, 13463, 691, 827, 2093, 267, 2418, 267, 543, 519, 1585, 2152, 540, 513, 4168, 23381, 269, 19457, 519, 7045, 540, 513, 1433, 13071, 1312, 540, 596, 917, 519, 1482, 1004, 267, 1294, 519, 1482, 24738, 267, 3068, 519, 1482, 5079, 267, 543, 1745, 519, 1482, 4664, 269, 5020, 29908, 856, 540, 2835, 734, 15130, 596, 7899, 547, 2911, 827, 256, 1809, 26006, 585, 513, 24635, 779, 9839, 786, 798, 811, 982, 7794, 519, 7554, 1063, 596, 543, 707, 5067, 610, 8250, 269, 1411, 3580, 849, 1451, 875, 547, 948, 707, 7141, 6952, 519, 2542, 4356, 543, 1831, 513, 24158, 540, 1434, 2835, 269, 3794, 611, 903, 15391, 779, 4030, 593, 875, 547, 1224, 513, 1433, 267, 1018, 547, 1413, 585, 538, 513, 1433, 267, 543, 875, 547, 2243, 1018, 596, 1224, 786, 4161, 596, 543, 707, 21717, 7567, 269, 898, 779, 2866, 585, 1272, 256, 1656, 621, 779, 32263, 7041, 585, 12322, 10024, 2852, 269, 26451, 606, 23064, 1592, 540, 936, 2185, 4627, 2835, 267, 26006, 585, 513, 24635, 779, 9839, 3947, 596, 4274, 5583, 593, 519, 1360, 1655, 2835, 585, 12322, 563, 1432, 952, 519, 3003, 11848, 4672, 1698, 24268, 286, 1548, 616, 519, 5238, 602, 1223, 581, 454, 18988, 547, 2272, 585, 2825, 12159, 286, 13690, 26304, 20484, 7125, 519, 454, 13563, 2229, 5238, 4171, 3664, 1034, 1860, 519, 1604, 2676, 12041, 281, 4460, 2274, 1597, 324, 454, 1607, 4015, 540, 3594, 23083, 602, 2916, 1689, 1797, 3978, 829, 559, 269, 3776, 4661, 267, 2705, 267, 568, 711, 827, 519, 2257, 829, 694, 269, 898, 568, 827, 721, 267, 938, 2620, 543, 811, 2487, 1686, 267, 543, 875, 649, 8452, 693, 713, 1608, 600, 527, 748, 791, 21692, 269, 2060, 7418, 689, 4081, 15628, 543, 4830, 3173, 267, 3778, 693, 519, 7736, 540, 519, 2622, 2591, 15156, 540, 1412, 321, 5350, 607, 8912, 262, 547, 1589, 1586, 269, 1809, 538, 922, 2647, 8573, 4474, 4879, 540, 875, 649, 16637, 519, 1699, 6433, 267, 621, 849, 23083, 602, 519, 1480, 2250, 1223, 581, 938, 1034, 3532, 4199, 538, 519, 6560, 585, 6668, 269, 3776, 4485, 2253, 689, 22884, 267, 3332, 267, 4984, 267, 6530, 267, 15257, 267, 6138, 540, 2257, 267, 4702, 543, 4264, 1646, 267, 607, 1134, 607, 1412, 14259, 697, 262, 1686, 563, 763, 11193, 7851, 2995, 721, 602, 693, 2547, 2947, 5481, 540, 3504, 454, 322, 691, 20802, 689, 513, 3810, 4359, 10340, 1500, 513, 3126, 540, 796, 5793, 32152, 454, 31162, 557, 903, 540, 519, 1158, 1354, 267, 1282, 543, 693, 519, 1439, 540, 519, 10979, 6520, 269, 634, 2175, 454, 12041, 281, 681, 2940, 3143, 528, 828, 2102, 454, 21812, 281, 23140, 21815, 7896, 267, 5549, 563, 2304, 2810, 1297, 540, 3140, 543, 15456, 9060, 1500, 1472, 519, 1158, 723, 1044, 9286, 607, 856, 6361, 268, 2897, 13742, 630, 17274, 11301, 1040, 1358, 723, 1044, 1572, 713, 1317, 789, 2408, 30122, 1851, 519, 21219, 540, 519, 2250, 609, 1100, 2963, 540, 513, 18631, 1974, 540, 1646, 282, 741, 6639, 30483, 4667, 2484, 3564, 519, 7207, 540, 3504, 9082, 269, 14301, 593, 519, 3332, 543, 1148, 540, 519, 30634, 1372, 753, 267, 5681, 518, 2103, 267, 20770, 2103, 543, 1866, 267, 681, 2940, 3143, 528, 828, 2102, 781, 1543, 542, 568, 602, 513, 9120, 5198, 540, 812, 729, 3743, 585, 891, 3621, 2261, 12069, 602, 7703, 21981, 547, 513, 10340, 609, 2029, 13380, 547, 938, 1378, 563, 302, 1556, 883, 13877, 908, 12906, 553, 543, 519, 1158, 3544, 538, 344, 7450, 654, 574, 328, 268, 272, 305, 14160, 5308, 3633, 5442, 454, 293, 8085, 14877, 593, 570, 331, 16927, 292, 15829, 17395, 269, 3267, 654, 958, 267, 945, 14560, 4672, 10068, 267, 5143, 803, 4672, 29940, 616, 454, 327, 1952, 5006, 950, 519, 4672, 568, 693, 2547, 1079, 3952, 5394, 267, 1510, 1932, 1454, 6777, 3267, 18391, 454, 719, 519, 1422, 341, 785, 578, 547, 11777, 2821, 1250, 4555, 267, 594, 729, 27337, 1881, 547, 1294, 602, 9948, 574, 781, 17254, 4842, 454, 344, 3641, 6997, 30786, 4825, 686, 1197, 267, 7585, 267, 1185, 15468, 998, 519, 4672, 693, 519, 1439, 540, 519, 524, 913, 563, 12041, 281, 28120, 631, 1430, 454, 21812, 281, 14210, 17726, 4964, 454, 20751, 513, 2582, 3018, 538, 476, 1220, 280, 267, 1426, 19784, 28120, 631, 1430, 1336, 9887, 593, 519, 12939, 540, 513, 16028, 543, 9788, 1055, 689, 1200, 2816, 693, 519, 9628, 17650, 2317, 269, 1280, 1027, 883, 513, 9097, 1272, 1689, 267, 1352, 8120, 547, 1200, 5065, 6917, 12309, 269, 1703, 1352, 4121, 547, 2661, 593, 513, 3908, 6578, 1247, 6967, 3020, 547, 1200, 11477, 3741, 540, 4189, 1134, 543, 607, 12725, 607, 2009, 269, 769, 634, 3171, 770, 14033, 2421, 267, 631, 1430, 12225, 2873, 1200, 1032, 17489, 1788, 281, 8600, 543, 10438, 1614, 1753, 2275, 10541, 267, 11207, 12119, 267, 543, 2199, 6980, 513, 1554, 734, 718, 593, 17288, 9489, 513, 3018, 269, 2060, 5813, 543, 9644, 267, 631, 1430, 7710, 519, 10539, 543, 991, 995, 8332, 2478, 538, 4189, 12725, 269, 2701, 12116, 1946, 2199, 1419, 959, 7927, 5214, 267, 543, 13300, 1946, 519, 22340, 15565, 3043, 3694, 267, 32314, 5144, 267, 543, 8216, 10538, 10425, 607, 851, 540, 922, 968, 869, 21057, 892, 1426, 6578, 1982, 269, 3414, 2199, 4189, 267, 631, 1430, 585, 2471, 4296, 609, 519, 6705, 267, 21527, 267, 543, 25210, 945, 1683, 1200, 609, 32351, 269, 2701, 3587, 811, 5702, 1140, 25293, 547, 519, 16082, 540, 1142, 4005, 267, 7610, 1746, 1200, 2370, 7944, 540, 519, 1158, 811, 4628, 267, 543, 2679, 513, 1272, 21950, 982, 1352, 16545, 621, 1223, 581, 269, 634, 3171, 770, 14033, 2421, 22842, 1507, 5418, 9778, 281, 1753, 268, 549, 16556, 6995, 267, 513, 20562, 787, 6006, 539, 609, 1753, 2275, 10165, 3039, 10365, 543, 19471, 28933, 267, 543, 519, 1543, 539, 804, 31902, 540, 18413, 646, 985, 538, 519, 18147, 269, 631, 1430, 849, 14405, 593, 1200, 3638, 11477, 1702, 547, 1459, 5176, 835, 4627, 12119, 10346, 602, 616, 11121, 267, 1303, 6005, 267, 543, 22237, 734, 322, 8504, 3853, 602, 1810, 1406, 2141, 16937, 734, 7945, 607, 17292, 1194, 1306, 32651, 609, 19748, 517, 267, 20579, 16400, 267, 543, 12275, 997, 282, 595, 3187, 5174, 571, 2213, 623, 1251, 700, 7765, 609, 2561, 956, 543, 2201, 687, 282, 543, 9315, 600, 558, 4211, 4752, 2465, 1677, 6332, 645, 1513, 269, 631, 1430, 779, 1093, 17257, 267, 14436, 2239, 8843, 8716, 5796, 585, 14971, 1327, 822, 2803, 10876, 267, 543, 10905, 519, 21644, 540, 10051, 4278, 3424, 609, 519, 5418, 9778, 540, 5986, 734, 663, 4189, 734, 6202, 563, 296, 576, 12311, 3101, 4386, 950, 15835, 4248, 8928, 883, 519, 18015, 543, 1212, 341, 1182, 540, 519, 454, 5523, 13702, 5817, 519, 4672, 269, 3267, 19725, 634, 2144, 657, 1308, 9381, 8916, 454, 1410, 12723, 676, 519, 1427, 11661, 4672, 693, 519, 1439, 540, 519, 20167, 626, 18152, 17820, 454, 29264, 762, 13260, 269, 3267, 1452, 2934, 616, 1336, 2429, 519, 1164, 2000, 520, 3363, 454, 1723, 770, 6050, 540, 519, 1158, 267, 1519, 519, 32090, 2477, 267, 19360, 267, 23529, 454, 267, 9456, 543, 7262, 4429, 12041, 281, 9400, 589, 269, 16026, 267, 12789, 563, 21812, 281, 3627, 25067, 1299, 25860, 454, 10870, 770, 6050, 540, 519, 1158, 616, 607, 3309, 607, 1022, 17027, 4259, 593, 24618, 269, 2142, 2851, 543, 3213, 6814, 568, 606, 3078, 543, 2189, 1007, 1837, 7474, 2488, 606, 29882, 2126, 540, 519, 1158, 781, 1114, 1723, 6814, 543, 3877, 519, 3810, 9867, 3157, 602, 723, 8032, 29442, 269, 11109, 5342, 1382, 593, 5032, 6050, 2429, 519, 1158, 32586, 4589, 2721, 593, 513, 5763, 540, 1995, 602, 3376, 839, 519, 20880, 540, 11271, 543, 2488, 585, 3875, 543, 9867, 1806, 7868, 1433, 7677, 8460, 513, 2596, 1620, 540, 519, 29684, 5943, 267, 5139, 5766, 1429, 545, 12512, 267, 20296, 4259, 267, 543, 27230, 2326, 602, 323, 9057, 710, 519, 19916, 540, 513, 5032, 269, 10572, 11271, 616, 22563, 6838, 547, 2101, 9381, 5054, 971, 607, 7496, 267, 23864, 514, 7410, 267, 23047, 1127, 267, 1609, 340, 2456, 267, 561, 6210, 976, 267, 1642, 339, 553, 267, 12620, 7007, 5032, 338, 267, 13702, 344, 5032, 338, 543, 1082, 1866, 269, 2142, 2851, 543, 3213, 6814, 2488, 519, 2556, 1543, 585, 974, 2286, 513, 3376, 9381, 20569, 1576, 269, 9282, 2966, 585, 842, 1238, 2563, 1053, 267, 922, 3102, 2126, 540, 5032, 5306, 641, 923, 786, 1118, 621, 3617, 585, 1082, 5580, 1377, 6030, 269, 19196, 1746, 543, 2189, 1837, 602, 2488, 606, 29882, 339, 13015, 540, 519, 1158, 781, 1114, 5032, 338, 543, 3877, 519, 3810, 19702, 539, 3157, 602, 723, 8032, 873, 269, 634, 4589, 2721, 593, 513, 5763, 540, 1995, 602, 3376, 839, 519, 20880, 540, 11271, 543, 2488, 585, 3875, 543, 9867, 1410, 3263, 269, 30216, 513, 2596, 1620, 540, 519, 29684, 5943, 267, 5139, 5766, 1429, 545, 12512, 267, 20296, 4259, 267, 543, 27230, 2326, 602, 323, 9057, 710, 519, 19916, 540, 513, 5032, 269, 10572, 11271, 616, 13991, 547, 2101, 9381, 5054, 7945, 607, 7496, 267, 23864, 538, 7410, 267, 23047, 1127, 267, 1609, 340, 2456, 267, 561, 6210, 976, 28504, 3881, 553, 267, 12620, 7007, 5032, 338, 267, 22586, 5032, 338, 267, 543, 1082, 1866, 269, 30216, 3102, 1543, 585, 3450, 513, 3376, 9381, 613, 1108, 1576, 585, 1312, 2606, 543, 5580, 1377, 6030, 563, 2467, 568, 1100, 17732, 540, 13122, 543, 3506, 538, 824, 2694, 540, 519, 1158, 267, 2523, 454, 514, 7187, 2342, 267, 543, 5716, 666, 1265, 3267, 543, 602, 729, 2901, 688, 30389, 11369, 1115, 540, 454, 4248, 856, 547, 519, 22253, 267, 799, 649, 1131, 13248, 1524, 593, 519, 4672, 693, 519, 1439, 540, 519, 4429, 12041, 281, 3627, 5096, 1749, 517, 454, 21812, 281, 3627, 25067, 1299, 25860, 454, 257, 294, 1161, 5884, 3620, 731, 11655, 543, 30226, 619, 547, 519, 7328, 519, 3330, 6316, 10590, 2443, 9928, 582, 1399, 14332, 2006, 267, 19760, 299, 781, 10888, 652, 16455, 543, 5449, 16455, 540, 519, 24354, 4414, 654, 902, 834, 301, 5847, 4991, 676, 3627, 5096, 1749, 517, 269, 1403, 519, 1101, 7160, 4769, 1406, 2907, 1118, 596, 513, 10178, 267, 1287, 713, 7160, 786, 10590, 2443, 15812, 11619, 1512, 267, 19760, 299, 2353, 21178, 541, 834, 7069, 2915, 267, 9791, 267, 543, 594, 10443, 856, 547, 1205, 670, 15736, 1280, 667, 27186, 267, 476, 273, 526, 9990, 269, 1284, 2285, 621, 1079, 533, 9155, 909, 10590, 2443, 10673, 22216, 787, 267, 5449, 19760, 299, 16455, 543, 968, 10870, 2851, 4856, 1676, 892, 6085, 1807, 585, 670, 15736, 13957, 538, 4516, 834, 1862, 320, 1590, 1224, 585, 782, 19735, 11655, 10590, 2443, 11990, 11709, 9812, 321, 709, 1188, 267, 5449, 3804, 339, 2658, 267, 1715, 3840, 6816, 619, 834, 1862, 1492, 1034, 3102, 267, 3362, 6956, 2707, 540, 19735, 1686, 543, 6044, 594, 4312, 2479, 2097, 2066, 269, 3502, 1152, 729, 1412 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3346, 721, 593, 1000, 7867, 610, 3842, 552, 17733, 563, 2690, 519, 1101, 942, 267, 3173, 723, 27424, 519, 3262, 540, 24954, 267, 3592, 538, 1483, 942, 267, 1282, 606, 12176, 269, 634, 3644, 568, 3533, 4657, 922, 5027, 269, 1809, 621, 781, 1869, 15458, 1018, 891, 13592, 1611, 563, 13914, 540, 782, 519, 4079, 596, 917, 269, 6056, 540, 707, 3237, 543, 22594, 269, 6056, 540, 519, 3610, 596, 1185, 693, 1153, 267, 707, 7189, 543, 24782, 267, 519, 1004, 945, 2445, 707, 6299, 321, 880, 267, 543, 519, 11051, 596, 1294, 593, 7641, 269, 2353, 540, 891, 1004, 4440, 723, 2370, 21746, 17875, 1782, 267, 4189, 267, 12008, 267, 543, 2348, 3023, 593, 741, 8188, 563, 288, 4693, 6669, 1996, 24954, 1223, 581, 7318, 593, 2635, 13538, 538, 519, 5177, 538, 5181, 267, 3081, 606, 3486, 1072, 931, 24832, 563, 763, 9338, 306, 5948, 814, 6659, 811, 982, 1269, 11463, 2929, 538, 2487, 4374, 3842, 922, 2228, 4672, 19943, 4161, 2443, 3379, 609, 1269, 273, 269, 278, 2929, 713, 942, 2063, 1032, 269, 3767, 1018, 888, 3412, 8690, 7923, 547, 5642, 538, 21722, 4480, 602, 2337, 2061, 3968, 543, 9636, 454, 288, 1007, 1505, 585, 9427, 23480, 689, 30637, 1797, 948, 1223, 4166, 581, 593, 519, 1259, 585, 519, 10199, 476, 273, 269, 279, 2929, 4892, 609, 513, 5732, 1272, 18446, 14711, 547, 519, 2442, 1426, 267, 519, 772, 2529, 269, 4972, 540, 11982, 1767, 593, 13638, 563, 20776, 3272, 9060, 1082, 1514, 2923, 3755, 19292, 547, 2769, 8369, 8259, 789, 917, 741, 13794, 786, 3858, 609, 873, 454, 292, 19096, 814, 513, 562, 7360, 10639, 585, 14124, 519, 1560, 267, 2523, 922, 1973, 8043, 269, 1809, 950, 596, 1413, 693, 519, 6491, 1399, 3766, 761, 1399, 3877, 540, 1018, 4523, 1310, 513, 1268, 568, 7783, 267, 513, 9670, 1249, 7252, 563, 2791, 1589, 8744, 513, 1007, 28750, 547, 2344, 568, 2653, 286, 634, 5722, 4458, 521, 15676, 540, 1079, 5959, 11639, 10010, 547, 3142, 741, 31601, 11453, 547, 6800, 5267, 6382, 563, 306, 3273, 1513, 723, 1279, 6836, 547, 1174, 875, 2528, 5540, 2950, 269, 1715, 1382, 13187, 602, 519, 18736, 2623, 540, 10256, 949, 2995, 721, 1945, 827, 519, 2804, 7607, 540, 6082, 269, 0, 302, 25929, 5851, 15955, 5113, 15955, 1635, 11261, 454, 12626, 267, 9185, 267, 476, 26951, 330, 321, 454, 294, 4261, 906, 1472, 519, 1158, 616, 2324, 2509, 606, 3486, 6876, 593, 3527, 547, 3035, 1804, 11912, 538, 8511, 3154, 5434, 693, 519, 17823, 18818, 10985, 540, 519, 3487, 625, 630, 4596, 303, 1428, 264, 896, 519, 6167, 17563, 13482, 593, 8693, 7827, 538, 10515, 32683, 693, 519, 1439, 540, 476, 1220, 280, 269, 25392, 519, 3790, 543, 4220, 540, 538, 9146, 267, 2921, 2962, 1631, 267, 1256, 538, 519, 22984, 540, 513, 2518, 2804, 6433, 267, 2306, 1434, 2804, 2631, 269, 901, 8889, 16684, 454, 1607, 8889, 30334, 568, 5497, 547, 1683, 3609, 15670, 543, 9439, 538, 1646, 1071, 268, 7774, 8041, 609, 1344, 543, 5796, 593, 875, 547, 13416, 2916, 1689, 883, 1646, 563, 763, 16672, 593, 5682, 12618, 267, 7550, 693, 519, 7027, 20051, 693, 10579, 658, 1377, 593, 476, 1839, 4873, 476, 1220, 280, 267, 25461, 519, 31232, 609, 3384, 513, 5682, 12618, 15613, 8744, 1927, 2804, 267, 2825, 267, 6639, 267, 2883, 543, 1646, 3344, 883, 513, 3102, 5943, 563, 11854, 1136, 693, 519, 4139, 9483, 17072, 540, 519, 17113, 267, 6004, 269, 717, 584, 6319, 1572, 593, 782, 2477, 547, 946, 519, 2804, 6433, 607, 606, 4316, 547, 3895, 2048, 13582, 685, 2208, 269, 11814, 633, 2962, 543, 12050, 2797, 786, 267, 646, 1767, 267, 786, 581, 2556, 547, 8908, 13476, 3280, 17003, 15004, 267, 2569, 5434, 267, 6536, 3039, 5647, 267, 543, 960, 2509, 513, 3811, 6167, 8693, 7827, 10985, 693, 519, 1439, 540, 519, 1032, 563, 19226, 1633, 814, 4389, 5533, 543, 4824, 922, 2825, 2298, 998, 21722, 4485, 899, 3039, 9204, 563, 14483, 14104, 585, 2916, 1689, 9542, 543, 17846, 568, 5693, 13385, 543, 519, 1646, 1071, 268, 7774, 2146, 2115, 547, 1589, 998, 922, 6286, 543, 2097, 909, 609, 3196, 995, 6114, 267, 2687, 547, 519, 31232, 14199, 29731, 563, 8266, 540, 12326, 585, 10003, 547, 18401, 281, 16743, 267, 22868, 1299, 11162, 12618, 454, 302, 25929, 29362, 568, 513, 1007, 3126, 540, 5467, 7888, 2835, 602, 3096, 31232, 2079, 543, 1239, 547, 6338, 930, 540, 2221, 779, 1034, 10296, 1514, 543, 2804, 2152, 563, 301, 13086, 1648, 666, 1404, 606, 1271, 1909, 538, 519, 1648, 3575, 585, 519, 476, 2641, 560, 2540, 269, 11835, 1456, 4229, 547, 1450, 6082, 2922, 543, 5150, 1569, 547, 6046, 1379, 568, 2565, 547, 4473, 547, 519, 4161, 540, 1648, 3354, 563, 12626, 267, 2073, 476, 29257, 330, 321, 454, 1692, 2500, 616, 519, 17003, 15004, 5189, 676, 31232, 2477, 286, 901, 1867, 12116, 909, 3562, 15082, 1239, 593, 519, 17003, 15004, 5189, 676, 31232, 2477, 543, 2101, 6932, 11615, 269, 898, 2882, 7840, 593, 875, 15004, 1223, 948, 3035, 1312, 2110, 543, 1279, 3856, 2804, 267, 1514, 543, 2825, 2640, 267, 1519, 1970, 28003, 2208, 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 ]
[ 781, 2385, 454, 2018, 1126, 10422, 1861, 284, 2017, 337, 7272, 1861, 22562, 825, 1219, 1482, 4537, 1901, 4311, 267, 824, 2187, 1038, 5727, 296, 3913, 2803, 13080, 543, 1931, 267, 865, 4054, 1058, 581, 15044, 1101, 12163, 1038, 952, 7003, 4311, 269, 14399, 264, 11203, 7003, 263, 1278, 269, 14399, 2187, 2018, 2132, 8771, 454, 1038, 952, 1582, 269, 14399, 912, 2018, 585, 630, 1345, 15220, 843, 267, 824, 15220, 843, 264, 538, 23407, 4311, 269, 14399, 267, 824, 269, 14399, 2187, 3546, 952, 711, 1582, 15220, 843, 4732, 877, 4537, 1901, 263, 1278, 15220, 843, 2187, 7386, 2132, 8771, 454, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 1582, 269, 11243, 2652, 824, 269, 11243, 22562, 825, 1219, 1205, 6124, 1157, 13434, 27641, 4311, 267, 609, 5091, 626, 1734, 25716, 267, 12931, 20325, 18989, 267, 26444, 2018, 9101, 12173, 18989, 2187, 1038, 5727, 27987, 519, 1007, 1157, 5569, 585, 713, 6316, 563, 13872, 1038, 14803, 3701, 912, 2018, 910, 609, 5091, 626, 1734, 281, 2436, 7936, 13080, 616, 3769, 563, 2018, 910, 12931, 20325, 281, 1439, 3529, 5569, 609, 513, 12931, 20325, 454, 2018, 910, 9101, 12173, 281, 952, 1022, 540, 891, 3197, 32582, 262, 257, 19572, 281, 282, 318, 2291, 538, 513, 454, 3546, 9136, 2012, 267, 16833, 519, 2012, 538, 2582, 10530, 454, 1038, 8173, 1038, 1007, 1157, 815, 11713, 13872, 1038, 5705, 4181, 815, 1496, 18876, 10947, 6124, 1157, 263, 5976, 5091, 626, 1734, 267, 12931, 20325, 25716, 994, 3546, 585, 1126, 538, 1582, 269, 14399, 2639, 1038, 952, 5705, 4181, 912, 2018, 1007, 1157, 6910, 2891, 263, 260, 338, 17983, 4939, 834, 2437, 269, 21860, 4433, 889, 339, 4181, 4917, 13872, 1038, 952, 1582, 269, 11243, 299, 1933, 539, 912, 2018, 952, 1582, 269, 11243, 568, 7183, 912, 3546, 2012, 815, 1412, 7055, 2018, 3116, 912, 3546, 2012, 815, 1193, 4311, 269, 11243, 994, 3546, 952, 9101, 12173, 543, 711, 630, 4067, 269, 11034, 1873, 603, 2891, 262, 8442, 543, 26444, 4449, 13376, 2012, 269, 1742, 5976, 2891, 262, 8442, 2187, 7386, 952, 556, 269, 14142, 2891, 3269, 314, 6012, 262, 257, 19572, 281, 282, 318, 316, 3269, 2580, 2012, 2187, 13376, 2012, 815, 834, 262, 260, 338, 262, 257, 4939, 476, 2012, 18622, 2897, 2891, 262, 14824, 5257, 5602, 7386, 3116, 912, 13376, 2012, 815, 2012, 18622, 2897, 3488, 1412, 10086, 318, 5073, 2018, 1007, 1157, 6910, 28442, 994, 13872, 1038, 952, 568, 27349, 4311, 267, 24695, 5979, 11966, 2187, 2018, 952, 609, 5091, 626, 1734, 543, 1582, 11482, 2654, 568, 711, 7183, 912, 3546, 1007, 1157, 6910, 2891, 281, 260, 338, 257, 4939, 1582, 11482, 2654, 994, 13872, 1038, 952, 12931, 20325, 912, 2018, 1007, 1157, 6910, 2891, 282, 5602, 13872, 1038, 2132, 1412, 8339, 21860, 28956, 1157, 2020, 825, 1219, 1205, 6124, 1157, 4311, 267, 609, 5091, 626, 1734, 25716, 267, 12931, 20325, 18989, 267, 9101, 12173, 18989, 2187, 1038, 5727, 27987, 519, 1007, 1157, 5569, 585, 713, 3529, 780, 1038, 14803, 3701, 912, 2018, 910, 609, 5091, 626, 1734, 281, 2436, 7936, 13080, 616, 3769, 563, 2018, 910, 12931, 20325, 281, 1439, 3529, 5569, 609, 513, 12931, 20325, 454, 2018, 910, 9101, 12173, 281, 952, 1022, 540, 891, 3197, 32582, 262, 257, 19572, 281, 282, 318, 2291, 538, 513, 454, 3546, 9136, 2012, 267, 16833, 519, 2012, 538, 2582, 10530, 692, 1038, 10691, 292, 281, 901, 1505, 7024, 519, 1715, 1157, 6041, 540, 713, 6843, 454, 1038, 543, 922, 13956, 757, 269, 901, 1505, 568, 513, 14842, 540, 606, 6388, 454, 1038, 676, 2098, 784, 345, 6062, 20568, 454, 1038, 8173, 1038, 1267, 815, 18358, 3488, 2639, 1038, 9136, 14067, 871, 815, 20886, 1345, 267, 7003, 4311, 269, 14399, 13580, 2639, 1038, 6843, 18045, 815, 476, 272, 692, 1038, 1247, 9136, 14067, 871, 912, 2018, 6843, 18045, 6834, 476, 272, 454, 2018, 1948, 13765, 519, 1283, 6843, 267, 1022, 1453, 2451, 796, 6665, 1243, 888, 2018, 1283, 815, 9136, 14067, 871, 15631, 272, 2639, 2018, 1283, 17045, 267, 1003, 318, 684, 6665, 1243, 15220, 10242, 815, 1283, 454, 2018, 952, 1003, 318, 684, 6665, 1243, 15220, 10242, 281, 1948, 13757, 1022, 1126, 796, 6665, 1243, 454, 3546, 1283, 314, 272, 316, 20699, 476, 272, 476, 1948, 1372, 920, 848, 519, 1948, 1993, 1453, 796, 6665, 1243, 454, 3546, 1985, 15220, 843, 815, 1283, 17045, 269, 14399, 15631, 11133, 318, 684, 6665, 1243, 15220, 10242, 316, 1948, 910, 585, 1931, 454, 3546, 1948, 2181, 23724, 527, 454, 3546, 952, 1985, 15220, 843, 269, 14399, 912, 7386, 1267, 6910, 3488, 3488, 994, 3546, 9136, 14067, 871, 6910, 8443, 10113, 15220, 843, 267, 7003, 263, 10113, 15220, 843, 269, 14399, 264, 7481, 2018, 3116, 281, 476, 1948, 7224, 796, 6665, 1243, 1453, 454, 3546, 9136, 14067, 871, 21014, 4590, 3546, 1948, 14006, 23724, 527, 454, 3546, 952, 1283, 17045, 269, 14399, 912, 7386, 1267, 15631, 272, 316, 815, 1412, 264, 28847, 3546, 952, 1283, 17045, 269, 11243, 299, 1933, 539, 912, 7386, 952, 1283, 17045, 269, 11243, 568, 7183, 912, 13376, 2012, 815, 1412, 7055, 7386, 3116, 912, 13376, 2012, 815, 1193, 6025, 641, 17045, 269, 11243, 994, 13376, 952, 9101, 12173, 543, 711, 630, 4067, 269, 11034, 1873, 603, 2891, 262, 8442, 543, 26444, 14030, 3546, 2012, 269, 1742, 5976, 2891, 262, 8442, 2187, 23351, 952, 556, 269, 14142, 2891, 3269, 314, 6012, 262, 257, 19572, 281, 282, 318, 316, 3269, 2580, 2012, 2187, 4449, 3546, 2012, 815, 834, 262, 260, 338, 262, 257, 4939, 2012, 18622, 2897, 2891, 262, 2580, 834, 5257, 5602, 23351, 3116, 912, 4449, 3546, 2012, 815, 2012, 18622, 2897, 3488, 1412, 10086, 318, 5073, 7386, 1267, 6910, 28442, 994, 4449, 454, 3546, 952, 568, 27349, 4311, 267, 24695, 5979, 11966, 2187, 7386, 952, 609, 5091, 626, 1734, 543, 1283, 17045, 11482, 2654, 568, 711, 7183, 912, 13376, 1948, 14310, 6910, 2891, 281, 260, 338, 257, 4939, 1283, 17045, 11482, 2654, 994, 13376, 1267, 15631, 272, 316, 815, 834, 260, 338, 281, 260, 338, 257, 4939, 630, 14310, 15631, 272, 3910, 1283, 17045, 11482, 2654, 2020, 3546, 1267, 6910, 263, 12887, 2020, 1038, 7003, 318, 14310, 815, 7003, 31114, 994, 1038, 952, 7003, 318, 14310, 2652, 476, 273, 281, 476, 1948, 2582, 6843, 1100, 2012, 454, 2018, 952, 12931, 20325, 912, 3546, 2132, 834, 282, 4840, 2018, 3116, 912, 3546, 2132, 1412, 7055, 1038, 8640, 7003, 318, 14310, 2652, 476, 274, 281, 1948, 2582, 6843, 609, 2012, 454, 2018, 952, 12931, 20325, 912, 3546, 2132, 834, 260, 338, 282, 257, 4939, 1267, 314, 272, 2639, 2018, 3116, 912, 3546, 2132, 1267, 314, 272, 2639, 1038, 3116, 912, 2018, 952, 12931, 20325, 912, 3546, 1267, 15631, 272, 316, 815, 1412, 282, 7055, 2018, 3116, 912, 3546, 1267, 21014, 8987, 272, 994, 2018, 2132, 1412, 8339, 21860, 31114, 994, 8931, 825, 1219, 4894, 11966, 4311, 267, 3077, 2187, 1038, 5727, 7230, 7174, 6843, 676, 3961, 3079, 540, 1871, 563, 13872, 1038, 16849, 6936, 952, 6843, 729, 1459, 267, 8771, 6382, 563, 1038, 8173, 1038, 547, 318, 1372, 8541, 815, 7183, 454, 1038, 585, 1775, 267, 28364, 17045, 538, 26246, 4311, 269, 14399, 2187, 2018, 952, 28364, 17045, 568, 3077, 912, 3546, 547, 318, 1372, 8541, 815, 1775, 454, 3546, 2736, 454, 1038, 952, 547, 318, 1372, 8541, 568, 7183, 912, 2018, 2132, 8771, 454, 1038, 3116, 912, 2018, 1642, 1582, 314, 1729, 318, 1372, 8541, 2639, 2018, 2132, 6936, 22562, 825, 1219, 1205, 10955, 613, 301, 1868, 4311, 267, 9133, 272, 4067, 267, 9133, 273, 4067, 2676, 2018, 1205, 743, 1228, 267, 1205, 980, 267, 856, 16766, 12173, 22561, 2187, 1038, 5727, 27987, 519, 1592, 540, 6565, 543, 5924, 1016, 3529, 630, 743, 1228, 264, 6316, 2012, 4433, 1916, 1038, 901, 568, 2944, 676, 4466, 519, 1455, 10167, 267, 543, 1287, 3478, 454, 1038, 519, 1592, 540, 4408, 269, 1403, 519, 804, 1228, 21986, 525, 519, 3597, 267, 1287, 946, 519, 454, 1038, 856, 16766, 12173, 4661, 547, 2327, 4570, 20487, 563, 13872, 1038, 14803, 3701, 912, 2018, 910, 9133, 272, 270, 273, 4067, 281, 6316, 476, 272, 270, 273, 4408, 454, 2018, 910, 1205, 980, 281, 2436, 519, 2012, 540, 519, 804, 1228, 6565, 6316, 568, 8120, 563, 2018, 910, 1205, 743, 1228, 281, 2436, 519, 4408, 540, 519, 8728, 1369, 519, 804, 1228, 616, 454, 23526, 8120, 454, 2018, 910, 856, 16766, 12173, 281, 952, 3177, 519, 9819, 568, 2944, 593, 513, 4528, 540, 454, 23526, 519, 3529, 556, 268, 549, 6838, 3448, 547, 519, 3177, 9133, 563, 13872, 1038, 26402, 912, 2018, 634, 8120, 1592, 666, 581, 1031, 547, 14574, 5705, 4181, 585, 2027, 454, 2018, 9936, 5314, 269, 1280, 3236, 267, 2161, 596, 1616, 547, 1450, 519, 28516, 454, 2018, 547, 723, 513, 1114, 1871, 540, 513, 1880, 9936, 269, 769, 713, 2013, 2676, 2018, 1683, 519, 2164, 540, 713, 1505, 547, 519, 9936, 17120, 454, 2018, 1505, 2387, 3553, 13640, 600, 305, 2544, 13237, 2059, 609, 519, 9936, 2012, 3092, 10756, 1038, 8173, 1038, 1948, 1403, 856, 16766, 9138, 2322, 621, 693, 519, 1283, 540, 519, 3529, 865, 602, 804, 3547, 616, 454, 1038, 1948, 3989, 676, 741, 3845, 689, 621, 269, 476, 901, 2306, 513, 10151, 3529, 609, 454, 1038, 1948, 513, 3957, 6316, 693, 621, 781, 3597, 267, 855, 621, 781, 1152, 1031, 1934, 1287, 23987, 563, 1038, 952, 856, 16766, 12173, 568, 711, 7183, 912, 2018, 856, 16766, 815, 1582, 10947, 11966, 300, 10248, 11243, 263, 719, 16766, 12173, 994, 2018, 952, 856, 16766, 269, 14399, 912, 3546, 6318, 10326, 13286, 3488, 11073, 16766, 630, 260, 338, 264, 1590, 581, 513, 9133, 262, 4939, 856, 16766, 12173, 994, 2018, 1582, 815, 856, 16766, 26509, 549, 6838, 28308, 32476, 4590, 13872, 1038, 6443, 318, 8354, 815, 1582, 10947, 21010, 532, 11966, 6025, 760, 272, 4067, 267, 9133, 273, 4067, 994, 13872, 1038, 6316, 5332, 1868, 815, 11713, 13872, 1038, 952, 1205, 980, 912, 2018, 952, 6443, 318, 8354, 18994, 10174, 10031, 3546, 6318, 10326, 13286, 3488, 299, 7563, 263, 260, 338, 267, 260, 338, 264, 568, 519, 3597, 543, 865, 814, 1100, 6565, 262, 4939, 454, 13376, 630, 339, 760, 272, 4067, 267, 9133, 273, 4067, 4917, 2018, 3116, 912, 3546, 6316, 5332, 1868, 6910, 263, 21860, 318, 8354, 269, 11243, 994, 13872, 1038, 952, 1205, 743, 1228, 912, 2018, 1948, 1326, 519, 1592, 540, 4408, 8659, 676, 6443, 318, 8354, 454, 2018, 585, 1126, 538, 6443, 318, 8354, 269, 14399, 912, 3546, 4839, 1013, 1868, 815, 1126, 10947, 11966, 301, 1868, 263, 514, 11079, 1409, 815, 476, 272, 994, 3546, 6316, 5332, 1868, 269, 2169, 754, 263, 1962, 534, 1013, 1868, 994, 13872, 1038, 2132, 6316, 5332, 1868, 22562, 825, 1219, 9041, 1326, 10468, 662, 321, 2293, 2750, 1061, 4311, 267, 2385, 22561, 2187, 1038, 1948, 1280, 6972, 519, 3529, 607, 952, 621, 729, 796, 549, 6838, 563, 1038, 2132, 1496, 322, 585, 524, 538, 630, 14654, 921, 4311, 269, 14399, 264, 1341, 630, 1345, 10422, 1861, 267, 4917, 3546, 952, 524, 568, 711, 7183, 543, 524, 568, 711, 2385, 2639, 8931, 825, 1219, 9041, 1326, 18850, 1734, 4311, 267, 1439, 9557, 22561, 2187, 1038, 5727, 296, 614, 8271, 1608, 743, 340, 919, 782, 540, 519, 3597, 3562, 2389, 760, 543, 9133, 3562, 2389, 760, 454, 1038, 9883, 267, 4611, 538, 513, 24042, 540, 912, 2018, 910, 589, 1592, 540, 630, 4067, 267, 2619, 3259, 264, 8424, 563, 2018, 910, 589, 8675, 540, 630, 339, 760, 272, 25722, 760, 273, 2567, 323, 2700, 8424, 454, 1038, 8173, 1038, 12361, 5276, 1125, 519, 4388, 538, 2022, 4650, 563, 1038, 1948, 1547, 1029, 11034, 267, 1547, 1029, 17380, 17492, 519, 20105, 538, 9133, 318, 4650, 563, 1038, 952, 1439, 9557, 568, 7183, 912, 2018, 9133, 318, 4650, 815, 1592, 4311, 6745, 2354, 15405, 1038, 3116, 912, 2018, 9133, 318, 4650, 815, 11713, 2018, 585, 1775, 267, 4067, 538, 26246, 263, 754, 9557, 2187, 3546, 6843, 815, 1582, 10947, 11966, 300, 10248, 11243, 28442, 994, 3546, 9133, 318, 4650, 6910, 27316, 994, 1038, 585, 1775, 267, 6843, 538, 26246, 6025, 760, 318, 4650, 2187, 2018, 6843, 14857, 11034, 267, 6843, 14857, 17380, 815, 1775, 267, 1775, 266, 272, 692, 1038, 1003, 4671, 2354, 815, 7003, 6025, 760, 318, 4650, 994, 1038, 1267, 815, 31460, 1038, 9133, 23251, 1734, 815, 21325, 9230, 11133, 4671, 2354, 1070, 10581, 264, 1948, 23251, 1734, 689, 9133, 547, 28364, 6843, 692, 1038, 1219, 9337, 318, 14310, 10031 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1283, 4737, 547, 519, 11931, 15581, 966, 910, 296, 4162, 593, 519, 2539, 4737, 269, 634, 11931, 1533, 5665, 2798, 616, 3254, 676, 1804, 3109, 15956, 780, 10490, 264, 623, 16927, 267, 1627, 268, 2862, 267, 681, 268, 7656, 267, 590, 268, 4353, 630, 290, 264, 623, 268, 4353, 267, 1627, 268, 7656, 267, 681, 16927, 267, 590, 268, 2862, 692, 16360, 264, 623, 268, 2862, 267, 1627, 268, 4353, 267, 681, 16927, 267, 590, 268, 7656, 630, 291, 264, 623, 268, 4353, 267, 1627, 268, 7656, 267, 681, 268, 2862, 267, 590, 16927, 692, 312, 292, 2752, 476, 1220, 279, 692, 24535, 27107, 298, 692, 30555, 476, 280, 269, 280, 692, 1103, 519, 2582, 5123, 6453, 17120, 5547, 3254, 538, 519, 4137, 267, 585, 1018, 2039, 540, 24254, 5086, 630, 1070, 519, 3403, 6453, 630, 309, 271, 264, 568, 711, 4175, 762, 15017, 17273, 476, 276, 6507, 692, 27237, 2464, 692, 1012, 630, 288, 264, 476, 271, 322, 2999, 2999, 476, 3393, 322, 630, 290, 264, 476, 3445, 322, 2999, 2999, 476, 5197, 322, 692, 30555, 476, 280, 269, 1015, 692, 16360, 264, 476, 3393, 322, 2999, 2999, 476, 13670, 322, 630, 291, 264, 476, 13670, 322, 2999, 2999, 476, 5197, 322, 692, 288, 476, 274, 25686, 6453, 2707, 28860, 568, 13234, 538, 476, 5197, 322, 26634, 7154, 269, 6904, 835, 540, 519, 1739, 6898, 568, 3020, 7790, 630, 288, 264, 5637, 15393, 19581, 5653, 543, 1899, 19581, 5653, 786, 723, 476, 274, 6113, 23191, 3334, 630, 289, 264, 24504, 19581, 5653, 786, 723, 476, 274, 6113, 23191, 5057, 855, 1899, 19581, 5653, 786, 581, 1863, 689, 476, 274, 6113, 23191, 630, 290, 264, 7412, 19581, 5653, 786, 723, 476, 274, 6113, 23191, 5057, 855, 15393, 19581, 5653, 786, 581, 1863, 689, 476, 274, 6113, 23191, 630, 291, 264, 5637, 15393, 19581, 5653, 543, 1899, 19581, 5653, 786, 581, 1863, 689, 476, 274, 6113, 23191, 3334, 692, 312, 292, 2752, 476, 1220, 279, 692, 307, 310, 302, 27107, 16775, 692, 30555, 476, 280, 269, 1556, 692, 763, 5168, 3349, 540, 1395, 9655, 582, 3254, 538, 519, 4137, 568, 2016, 538, 519, 3349, 2630, 23241, 10521, 1395, 9655, 1824, 267, 835, 2318, 6316, 15427, 543, 824, 2942, 6316, 15427, 267, 616, 4448, 3254, 538, 519, 4137, 267, 634, 13942, 11097, 2195, 540, 519, 1079, 1395, 9655, 582, 17016, 1627, 272, 543, 1627, 273, 616, 570, 2177, 543, 570, 2177, 6606, 563, 272, 476, 273, 692, 17273, 476, 276, 4281, 692, 1012, 28331, 476, 280, 5295, 22997, 692, 27237, 2464, 692, 30555, 476, 280, 269, 1691, 692, 288, 2582, 5123, 2707, 28860, 568, 8023, 513, 17033, 31602, 4452, 607, 3254, 538, 519, 4137, 634, 28860, 568, 13234, 693, 476, 2004, 21636, 538, 476, 5197, 322, 4009, 5951, 7154, 269, 27539, 602, 519, 4452, 1699, 1281, 711, 723, 1022, 546, 322, 5057, 269, 634, 8445, 1871, 540, 519, 1802, 2758, 1699, 1775, 271, 786, 581, 454, 17273, 476, 276, 3199, 692, 27237, 2464, 692, 1012, 630, 288, 264, 476, 277, 269, 4391, 589, 630, 290, 264, 476, 736, 589, 692, 16360, 264, 476, 1015, 589, 630, 291, 264, 476, 2412, 589, 692, 30555, 476, 280, 269, 1428, 692, 288, 2582, 5123, 4628, 6417, 20303, 8115, 568, 1031, 585, 5122, 29584, 540, 513, 14384, 9599, 546, 322, 5179, 269, 634, 546, 322, 5179, 4452, 568, 6719, 676, 606, 6697, 5547, 607, 3254, 538, 519, 4137, 780, 10112, 2541, 602, 519, 4452, 32366, 766, 568, 6190, 547, 2327, 6024, 543, 678, 21451, 1863, 4452, 1699, 269, 634, 20590, 5086, 540, 519, 8115, 585, 513, 4452, 1699, 540, 594, 271, 815, 476, 1015, 589, 786, 581, 630, 288, 264, 476, 4510, 322, 630, 290, 264, 476, 15782, 322, 630, 289, 264, 476, 7906, 322, 630, 291, 264, 476, 15793, 322, 692, 30555, 476, 280, 269, 1626, 692, 288, 1614, 5123, 4628, 6417, 8115, 20303, 568, 8023, 513, 4452, 5373, 513, 3586, 543, 678, 21451, 1863, 4452, 1699, 540, 476, 1015, 589, 693, 513, 20590, 5086, 540, 476, 1789, 322, 269, 634, 16977, 11192, 23191, 5940, 10407, 630, 260, 8025, 291, 264, 543, 519, 678, 916, 1871, 540, 4909, 5057, 540, 3403, 1699, 786, 6606, 581, 630, 288, 264, 476, 4029, 260, 543, 476, 277, 269, 279, 589, 630, 290, 264, 476, 5780, 260, 543, 476, 277, 269, 279, 589, 630, 289, 264, 476, 4029, 260, 543, 476, 278, 269, 279, 589, 630, 291, 264, 476, 5780, 260, 543, 476, 278, 269, 279, 589, 454, 17273, 476, 6812, 272, 692, 1012, 28331, 476, 280, 5295, 22997, 692, 27237, 2464, 692, 30555, 476, 280, 269, 1704, 692, 1103, 519, 5547, 3254, 538, 519, 4137, 267, 519, 6467, 568, 13234, 693, 513, 10279, 4783, 540, 476, 271, 269, 276, 269, 589, 1804, 19218, 568, 4448, 2066, 519, 4452, 269, 634, 1802, 2758, 1699, 568, 10924, 547, 581, 6024, 780, 763, 3328, 6453, 2066, 519, 4452, 543, 519, 3328, 1699, 998, 519, 26534, 786, 6606, 581, 630, 288, 264, 476, 1015, 966, 267, 476, 273, 589, 630, 290, 264, 476, 2412, 966, 476, 273, 589, 630, 289, 264, 476, 1015, 966, 267, 476, 279, 589, 630, 291, 264, 476, 2412, 966, 267, 476, 279, 589, 692, 1012, 962, 292, 2752, 476, 1220, 278, 14330, 304, 476, 280, 269, 1240, 692, 24535, 27107, 298, 692, 288, 2582, 25686, 4628, 6417, 16815, 2077, 528, 8115, 1035, 1673, 322, 20303, 568, 5665, 693, 513, 20590, 5086, 540, 476, 1839, 322, 543, 606, 16937, 5086, 540, 476, 1015, 322, 609, 3586, 546, 322, 3977, 1699, 540, 476, 736, 589, 269, 634, 4909, 1379, 3815, 630, 4134, 10293, 3815, 264, 693, 3403, 1035, 1292, 338, 568, 630, 288, 264, 476, 271, 269, 4281, 630, 290, 264, 476, 271, 269, 279, 5780, 454, 30555, 476, 280, 269, 866, 692, 1012, 630, 289, 264, 476, 271, 269, 279, 2767, 630, 291, 264, 476, 271, 269, 280, 692, 288, 1614, 25686, 267, 4628, 6417, 16815, 2077, 528, 8115, 20303, 568, 1031, 607, 1899, 862, 583, 730, 28860, 547, 3049, 476, 2004, 737, 310, 1379, 476, 22213, 966, 546, 322, 547, 513, 1614, 25686, 267, 476, 25870, 966, 263, 1467, 1070, 476, 2004, 21636, 1035, 1292, 338, 269, 6333, 546, 322, 3095, 1699, 547, 581, 3586, 269, 634, 678, 916, 1699, 540, 519, 16815, 2077, 528, 568, 630, 288, 264, 476, 15686, 269, 4962, 589, 630, 290, 264, 476, 6924, 269, 10463, 589, 454, 30555, 476, 280, 269, 736, 692, 1012, 630, 289, 264, 476, 8064, 269, 4391, 589, 630, 291, 264, 476, 4375, 269, 6924, 589, 692, 288, 2582, 5123, 2407, 2914, 1511, 3368, 22306, 8115, 20303, 20555, 606, 31602, 4452, 269, 634, 1079, 590, 10135, 338, 538, 519, 20303, 616, 4448, 547, 513, 454, 17273, 476, 6812, 273, 692, 1012, 28331, 476, 280, 5295, 22997, 692, 21720, 9823, 1668, 269, 634, 20303, 814, 547, 723, 513, 1863, 20253, 9934, 26534, 269, 630, 288, 264, 1317, 519, 20303, 20244, 1281, 711, 1683, 585, 1863, 20253, 9934, 630, 289, 264, 1317, 519, 20303, 1281, 711, 1683, 585, 1863, 2914, 515, 9934, 585, 1164, 2418, 540, 24254, 7285, 630, 290, 264, 610, 3116, 519, 1863, 2914, 515, 9934, 2962, 540, 519, 20303, 786, 2014, 2110, 532, 540, 519, 8028, 3761, 630, 291, 264, 610, 3116, 952, 513, 10766, 13942, 547, 835, 540, 519, 590, 10135, 338, 568, 14406, 267, 621, 786, 13604, 2014, 513, 1164, 4452, 1699, 538, 519, 824, 590, 10135, 563, 30555, 476, 280, 269, 2641, 692, 27237, 2464, 692, 306, 1460, 631, 5308, 293, 4953, 338, 4448, 538, 513, 8115, 12122, 630, 327, 3058, 1100, 824, 1379, 3926, 264, 1590, 581, 13234, 607, 513, 30579, 11905, 769, 591, 614, 630, 309, 10485, 1040, 901, 3948, 568, 630, 288, 264, 6936, 267, 1317, 1373, 5354, 15298, 3457, 631, 5308, 293, 4953, 338, 616, 6453, 9141, 269, 630, 289, 264, 6936, 267, 1317, 631, 5308, 293, 4953, 338, 688, 341, 20244, 4550, 24733, 5537, 1019, 3941, 630, 290, 264, 8771, 267, 1317, 621, 666, 581, 13234, 1312, 607, 7351, 11905, 769, 591, 614, 630, 5425, 296, 264, 610, 513, 966, 10485, 630, 291, 264, 8771, 267, 1317, 631, 5308, 293, 4953, 338, 666, 581, 13234, 607, 5140, 3586, 1699, 2959, 538, 519, 25294, 3148, 780, 312, 292, 2752, 476, 1220, 278, 692, 307, 310, 302, 27107, 16775, 692, 30555, 476, 280, 269, 2420, 692, 288, 2582, 25686, 28696, 2707, 28860, 568, 6417, 538, 513, 2582, 13942, 2914, 5954, 1110, 4327, 7154, 609, 513, 13942, 8700, 540, 476, 5611, 322, 538, 1142, 3368, 4783, 269, 11192, 23191, 23673, 568, 3989, 607, 570, 8461, 21591, 273, 966, 678, 916, 966, 476, 1321, 1948, 476, 1911, 966, 272, 692, 3602, 966, 272, 568, 519, 678, 916, 1871, 540, 519, 4909, 5057, 540, 519, 3977, 6453, 269, 634, 570, 8461, 540, 3977, 1035, 6453, 5951, 845, 568, 630, 288, 264, 476, 4792, 269, 4792, 260, 630, 290, 264, 476, 4029, 269, 10695, 260, 630, 289, 264, 476, 4366, 269, 5655, 260, 630, 291, 264, 476, 1789, 269, 5392, 14999, 17273, 476, 6812, 274, 692, 27237, 2464, 692, 1012, 5871, 4578, 585, 7726, 476, 2767, 543, 476, 2764, 780, 288, 476, 272, 281, 272, 17240, 572, 17992, 518, 630, 8976, 264, 568, 1031, 547, 9594, 519, 590, 10135, 538, 519, 11105, 4137, 269, 634, 590, 10135, 568, 15951, 693, 476, 272, 269, 276, 737, 309, 267, 476, 7742, 589, 609, 14889, 815, 476, 7742, 544, 288, 267, 594, 295, 815, 476, 5611, 544, 288, 267, 543, 30312, 3193, 815, 476, 5611, 544, 288, 267, 30312, 1295, 815, 476, 1911, 544, 288, 269, 634, 590, 10135, 568, 4448, 547, 606, 31602, 4452, 267, 1141, 700, 815, 476, 5611, 544, 295, 538, 3126, 609, 513, 1507, 4187, 543, 519, 3761, 6453, 568, 476, 1220, 966, 546, 322, 269, 634, 4464, 12772, 540, 782, 27820, 7933, 1675, 525, 543, 10766, 2275, 987, 1712, 22882, 1282, 10396, 1533, 616, 476, 272, 269, 271, 966, 692, 30555, 476, 280, 269, 2767, 692, 763, 4187, 681, 1058, 581, 630, 288, 264, 476, 275, 269, 278, 737, 630, 290, 264, 476, 5325, 630, 289, 264, 476, 30420, 737, 630, 291, 264, 476, 275, 269, 278, 454, 17273, 476, 276, 5952, 692, 1012, 28331, 476, 280, 5295, 22997, 692, 27237, 2464, 692, 30555, 476, 280, 269, 2764, 692, 763, 5934, 16977, 18699, 29364, 12773, 540, 13942, 22155, 5078, 585, 24254, 519, 590, 10135, 1058, 581, 2433, 630, 14179, 339, 29364, 12773, 568, 519, 5021, 540, 1587, 540, 519, 6453, 543, 519, 8700, 540, 519, 13942, 602, 949, 4294, 264, 630, 288, 264, 476, 1220, 271, 966, 1606, 630, 290, 264, 476, 736, 966, 1606, 630, 289, 264, 476, 1220, 966, 1606, 630, 291, 264, 476, 273, 966, 1606, 692, 312, 292, 2752, 476, 1220, 277, 692, 24535, 27107, 298, 692, 30555, 476, 280, 269, 3066, 692, 763, 3432, 540, 513, 476, 274, 25686, 267, 476, 24496, 966, 267, 476, 2004, 21636, 15632, 5179, 568, 547, 581, 6417, 936, 513, 2647, 2039, 689, 4642, 3432, 547, 476, 272, 269, 276, 942, 519, 15951, 3432, 1210, 513, 476, 274, 25686, 6453, 2707, 28860, 269, 898, 568, 5551, 547, 1832, 519, 13441, 538, 519, 3684, 3586, 538, 519, 3586, 18165, 3148, 676, 9013, 519, 12363, 6453, 607, 519, 4908, 2242, 269, 634, 28860, 3977, 6453, 5288, 4908, 8984, 1058, 581, 692, 30555, 476, 280, 269, 1789, 692, 288, 2582, 25686, 3368, 5951, 29252, 20303, 5547, 568, 3254, 538, 4137, 269, 589, 476, 273, 2914, 4193, 22155, 568, 1031, 693, 519, 3403, 585, 10072, 269, 32114, 519, 4452, 1699, 547, 581, 3586, 543, 966, 815, 966, 332, 5609, 512, 2073, 519, 1699, 5951, 845, 998, 26534, 667, 273, 786, 581, 454, 17273, 476, 6812, 277, 692, 1012, 28331, 476, 280, 5295, 22997, 692, 27237, 2464, 692, 2903, 32366, 766, 269, 634, 3403, 12761, 3815, 630, 2839, 293, 264, 543, 519, 3403, 1379, 3815, 630, 7709, 293, 264, 540, 519, 20303, 786, 581, 630, 288, 264, 594, 5263, 815, 476, 271, 269, 279, 6858, 282, 7379, 293, 815, 476, 271, 269, 279, 2764, 630, 290, 264, 594, 5263, 815, 476, 271, 269, 276, 282, 7379, 293, 815, 476, 271, 269, 275, 4281, 454, 30555, 476, 280, 269, 3451, 692, 16360, 264, 594, 5263, 815, 476, 271, 269, 279, 6858, 282, 7379, 293, 815, 476, 271, 269, 4649, 273, 630, 291, 264, 594, 5263, 815, 476, 271, 269, 276, 282, 7379, 293, 815, 476, 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 ]
[ 1205, 5472, 4467, 906, 306, 9285, 293, 342, 305, 4311, 267, 3977, 13911, 8029, 453, 14851, 263, 16059, 13911, 2652, 834, 3667, 257, 8029, 4848, 453, 12803, 11243, 815, 1582, 10947, 17806, 17572, 11243, 14052, 453, 453, 19197, 263, 16059, 13911, 2652, 834, 322, 12364, 257, 8029, 4848, 453, 12803, 11243, 815, 1582, 10947, 5425, 309, 17572, 11243, 31476, 453, 453, 4486, 5320, 815, 1582, 10947, 7659, 5320, 14052, 453, 453, 20204, 815, 3403, 2891, 8923, 3403, 513, 1032, 547, 3406, 630, 312, 312, 312, 312, 2567, 834, 3418, 453, 453, 11034, 14630, 11742, 815, 1582, 269, 583, 322, 15461, 318, 788, 5255, 318, 11034, 12169, 792, 3418, 453, 453, 754, 14630, 11742, 815, 1582, 269, 583, 322, 15461, 318, 788, 5255, 318, 754, 12169, 792, 3418, 453, 453, 258, 1376, 20204, 815, 3403, 2891, 8923, 3403, 513, 1376, 1032, 547, 3406, 630, 312, 312, 312, 312, 2567, 834, 3418, 453, 453, 258, 1439, 20204, 815, 3403, 2891, 8923, 3403, 606, 1439, 1032, 547, 3406, 630, 312, 312, 312, 312, 2567, 834, 3418, 453, 453, 258, 1376, 14630, 11742, 815, 1582, 269, 583, 322, 15461, 318, 788, 5255, 318, 11034, 263, 11034, 20204, 3418, 453, 453, 258, 1439, 14630, 11742, 815, 1582, 269, 583, 322, 15461, 318, 788, 5255, 318, 754, 263, 754, 20204, 10142, 453, 453, 258, 634, 9612, 1477, 453, 453, 3240, 17876, 8266, 815, 1582, 10947, 8138, 1042, 323, 1080, 3528, 7659, 5320, 31107, 5320, 3418, 453, 22610, 1775, 538, 2039, 12759, 30044, 17876, 8266, 264, 8029, 4848, 453, 3240, 299, 294, 815, 1582, 10947, 8138, 3939, 2839, 3528, 7659, 5320, 19304, 30044, 17876, 8266, 5157, 25818, 20438, 267, 1376, 14630, 11742, 267, 1439, 14630, 11742, 3418, 4848, 453, 339, 787, 6769, 15235, 22610, 795, 538, 2039, 263, 2004, 2567, 4848, 453, 1012, 322, 746, 581, 16609, 952, 972, 616, 711, 476, 2004, 22347, 3827, 538, 519, 1016, 1042, 9016, 1012, 1477, 20930, 14851, 263, 657, 29624, 3052, 1115, 1125, 19304, 2891, 290, 281, 11138, 5825, 619, 11138, 23336, 599, 331, 11138, 3080, 7804, 633, 11138, 291, 665, 3701, 11138, 306, 293, 296, 769, 3179, 1222, 476, 1001, 278, 11138, 16446, 9016, 4578, 11138, 257, 266, 12803, 11243, 4297, 3436, 476, 4335, 1822, 2567, 567, 12361, 6112, 3758, 568, 1447, 982, 476, 4335, 30641, 1477, 4848, 15235, 453, 19874, 1477, 20930, 453, 11357, 3939, 815, 1582, 269, 17739, 8138, 3939, 19304, 263, 10113, 30044, 299, 294, 4297, 3418, 20930, 14851, 263, 630, 11357, 3939, 269, 920, 730, 3436, 1376, 14630, 11742, 264, 543, 630, 11357, 3939, 269, 920, 730, 2999, 1439, 14630, 11742, 264, 476, 8029, 4848, 15235, 453, 11357, 3939, 2593, 906, 18622, 2897, 318, 3467, 263, 3916, 527, 284, 271, 3418, 4848, 15235, 453, 258, 11339, 8292, 547, 3758, 1477, 4848, 15235, 22610, 1283, 318, 24038, 318, 1260, 618, 538, 19169, 2593, 906, 6769, 20930, 4848, 14851, 263, 16059, 13911, 2652, 834, 3667, 257, 8029, 20930, 15235, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 272, 6769, 20930, 20930, 453, 325, 272, 22182, 6025, 641, 318, 24038, 318, 1260, 618, 269, 7853, 266, 257, 834, 3418, 20930, 4848, 453, 19197, 263, 16059, 13911, 2652, 834, 322, 12364, 257, 8029, 20930, 15235, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 1007, 1467, 8782, 3299, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 272, 6769, 20930, 20930, 453, 3240, 310, 31581, 815, 26417, 9884, 31581, 6600, 272, 267, 1642, 574, 3438, 284, 12887, 3418, 20930, 20930, 453, 3240, 310, 31581, 9884, 31581, 578, 8443, 1598, 6025, 641, 318, 24038, 318, 1260, 618, 269, 7853, 13580, 266, 314, 1598, 5560, 520, 8135, 6155, 520, 8135, 269, 5228, 339, 574, 652, 2086, 6025, 641, 318, 24038, 318, 1260, 618, 269, 920, 730, 4297, 29573, 20930, 4848, 22610, 16253, 538, 1283, 318, 24038, 318, 1260, 618, 18622, 18680, 269, 4289, 28399, 20930, 15235, 14851, 263, 16059, 13911, 2652, 834, 3667, 257, 8029, 20930, 20930, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 273, 6769, 20930, 4848, 15235, 453, 325, 273, 22182, 263, 516, 2952, 269, 7853, 266, 257, 834, 3418, 20930, 15235, 453, 19197, 263, 16059, 13911, 2652, 834, 322, 12364, 257, 8029, 20930, 20930, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 1007, 1467, 8782, 3299, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 273, 6769, 20930, 4848, 15235, 453, 3240, 310, 31581, 815, 26417, 9884, 31581, 6600, 273, 267, 1642, 574, 3438, 284, 12887, 3418, 20930, 4848, 15235, 453, 3240, 310, 31581, 9884, 31581, 578, 8443, 1598, 263, 516, 2952, 269, 7853, 13580, 266, 314, 1598, 5560, 520, 8135, 6155, 520, 8135, 269, 5228, 339, 574, 652, 2086, 263, 516, 2952, 269, 920, 730, 4297, 316, 10142, 4848, 453, 258, 571, 2213, 676, 5903, 17653, 1807, 630, 17739, 8138, 3939, 3418, 4848, 453, 21955, 17547, 296, 614, 566, 6769, 15235, 453, 258, 535, 272, 25379, 14052, 15235, 453, 258, 535, 273, 25379, 14052, 15235, 453, 10139, 5897, 4848, 453, 258, 1948, 531, 1811, 2673, 519, 3758, 1477, 4848, 453, 258, 6368, 6769, 4848, 453, 258, 476, 453, 325, 272, 25379, 14052, 4848, 453, 258, 476, 453, 325, 273, 25379, 31476, 453, 258, 717, 1115, 782, 8292, 27366, 676, 634, 9612, 267, 15044, 1101, 609, 30491, 630, 328, 4318, 269, 676, 1283, 7400, 543, 1287, 741, 30491, 1040, 4534, 717, 1115, 1152, 22347, 3827, 2864, 982, 689, 1016, 1042, 323, 1080, 23228, 22592, 1205, 5472, 4467, 906, 306, 9285, 293, 342, 305, 273, 4311, 267, 3977, 13911, 8029, 453, 14851, 263, 16059, 13911, 2652, 834, 3667, 257, 8029, 4848, 453, 12803, 11243, 815, 1582, 10947, 17806, 17572, 11243, 14052, 453, 453, 19197, 263, 16059, 13911, 2652, 834, 322, 12364, 257, 8029, 4848, 453, 12803, 11243, 815, 1582, 10947, 5425, 309, 17572, 11243, 31476, 453, 453, 4486, 5320, 815, 1582, 10947, 7659, 5320, 14052, 453, 453, 20204, 815, 3403, 2891, 8923, 3403, 513, 1032, 547, 3406, 630, 312, 312, 312, 312, 2567, 834, 3418, 453, 453, 11034, 14630, 11742, 815, 1582, 269, 583, 322, 15461, 318, 788, 5255, 318, 11034, 12169, 792, 3418, 453, 453, 754, 14630, 11742, 815, 1582, 269, 583, 322, 15461, 318, 788, 5255, 318, 754, 12169, 792, 10142, 453, 453, 258, 634, 9612, 1477, 453, 453, 3240, 8138, 8266, 815, 1496, 15947, 453, 22610, 19169, 538, 1582, 269, 1042, 9016, 16553, 1042, 9016, 3488, 718, 262, 1040, 14142, 2891, 263, 663, 4626, 652, 2086, 281, 257, 266, 1598, 263, 11034, 14630, 11742, 11924, 257, 907, 257, 266, 1598, 263, 754, 14630, 11742, 11924, 257, 1422, 262, 257, 266, 4486, 5320, 266, 257, 315, 10807, 257, 8029, 4848, 453, 3240, 8138, 8266, 6910, 4433, 889, 3939, 269, 573, 3418, 453, 22610, 1775, 538, 2039, 12759, 30044, 8138, 8266, 264, 8029, 4848, 453, 3240, 299, 294, 815, 1582, 10947, 8138, 3939, 2839, 3528, 7659, 5320, 19304, 30044, 17876, 8266, 5157, 25818, 20438, 267, 1376, 14630, 11742, 267, 1439, 14630, 11742, 3418, 4848, 453, 339, 787, 6769, 15235, 14851, 263, 657, 29624, 3052, 1115, 1125, 19304, 2891, 290, 281, 11138, 5825, 619, 11138, 23336, 599, 331, 11138, 3080, 7804, 633, 11138, 291, 665, 3701, 11138, 306, 293, 296, 769, 3179, 1222, 476, 1001, 278, 11138, 16446, 9016, 4578, 11138, 257, 266, 12803, 11243, 4297, 3436, 476, 4335, 1822, 2567, 567, 12361, 6112, 3758, 568, 1447, 982, 476, 4335, 30641, 1477, 20930, 453, 19874, 1477, 15235, 453, 11357, 3939, 815, 1582, 269, 17739, 8138, 3939, 19304, 30044, 8138, 8266, 5157, 8079, 3418, 15235, 14851, 263, 630, 11357, 3939, 269, 920, 730, 3436, 1376, 14630, 11742, 264, 543, 630, 11357, 3939, 269, 920, 730, 2999, 1439, 14630, 11742, 264, 476, 8029, 20930, 453, 11357, 3939, 2593, 906, 18622, 2897, 318, 3467, 263, 3916, 527, 284, 271, 3418, 20930, 453, 258, 11339, 8292, 547, 3758, 1477, 20930, 22610, 1283, 318, 24038, 318, 1260, 618, 538, 19169, 2593, 906, 6769, 4848, 15235, 14851, 263, 16059, 13911, 2652, 834, 3667, 257, 8029, 20930, 4848, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 272, 6769, 20930, 15235, 453, 325, 272, 22182, 6025, 641, 318, 24038, 318, 1260, 618, 269, 7853, 266, 257, 834, 3418, 4848, 15235, 453, 19197, 263, 16059, 13911, 2652, 834, 322, 12364, 257, 8029, 20930, 4848, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 1007, 1467, 8782, 3299, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 272, 6769, 20930, 15235, 453, 3240, 310, 31581, 815, 26417, 9884, 31581, 6600, 272, 267, 1642, 574, 3438, 284, 12887, 3418, 20930, 15235, 453, 3240, 310, 31581, 9884, 31581, 578, 8443, 1598, 6025, 641, 318, 24038, 318, 1260, 618, 269, 7853, 13580, 266, 314, 1598, 5560, 520, 8135, 6155, 520, 8135, 269, 5228, 339, 574, 652, 2086, 6025, 641, 318, 24038, 318, 1260, 618, 269, 920, 730, 4297, 29573, 4848, 15235, 22610, 16253, 538, 1283, 318, 24038, 318, 1260, 618, 18622, 18680, 269, 4289, 28399, 20930, 4848, 14851, 263, 16059, 13911, 2652, 834, 3667, 257, 8029, 20930, 15235, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 273, 6769, 20930, 20930, 453, 325, 273, 22182, 263, 516, 2952, 269, 7853, 266, 257, 834, 3418, 20930, 4848, 453, 19197, 263, 16059, 13911, 2652, 834, 322, 12364, 257, 8029, 20930, 15235, 453, 5976, 1930, 31526, 11243, 267, 834, 320, 2580, 1007, 1467, 8782, 3299, 17683, 8782, 583, 325, 268, 1626, 548, 10807, 607, 535, 273, 6769, 20930, 20930, 453, 3240, 310, 31581, 815, 26417, 9884, 31581, 6600, 273, 267, 1642, 574, 3438, 284, 12887, 3418, 20930, 20930, 453, 3240, 310, 31581, 9884, 31581, 578, 8443, 1598, 263, 516, 2952, 269, 7853, 13580, 266, 314, 1598, 5560, 520, 8135, 6155, 520, 8135, 269, 5228, 339, 574, 652, 2086, 263, 516, 2952, 269, 920, 730, 4297, 316, 10142, 4848, 453, 258, 571, 2213, 676, 5903, 17653, 1807, 630, 17739, 8138, 3939, 3418, 4848, 453, 21955, 17547, 296, 614, 566, 6769, 15235, 453, 258, 535, 272, 25379, 14052, 15235, 453, 258, 535, 273, 25379, 14052, 15235, 453, 10139, 5897, 4848, 453, 258, 1948, 531, 1811, 2673, 519, 3758, 1477, 4848, 453, 258, 6368, 6769, 4848, 453, 258, 476, 453, 325, 272, 25379, 14052, 4848, 453, 258, 476, 453, 325, 273, 25379, 31476, 22592, 1205, 4467, 906, 4311, 8029, 453, 453, 4486, 5320, 312, 301, 815, 3403, 2891, 1432, 10421, 1131, 596, 899, 593, 707, 8292, 286, 630, 272, 264, 6875, 1152, 8292, 602, 2270, 519, 20438, 269, 630, 273, 264, 6875, 782, 8292, 27366, 269, 7490, 1826, 476, 272, 610, 476, 273, 26142, 333, 14744, 453, 453, 16059, 13911, 815, 3403, 2891, 1432, 1826, 540, 3977, 3758, 1131, 596, 899, 286, 630, 272, 264, 7956, 3758, 609, 1152, 1257, 269, 630, 273, 264, 11483, 309, 3758, 609, 7389, 269, 7490, 1826, 476, 272, 610, 476, 273, 26142, 333, 14744, 453, 453, 338, 337, 7775, 8138, 815, 3403, 2891, 25898, 596, 899, 547, 23074, 1239, 630, 272, 264, 1101, 676, 1016, 1042, 9016, 1287, 998, 22347, 3827, 267, 610, 630, 273, 264, 1152, 998, 22347, 3827, 286, 7490, 1826, 476, 272, 610, 476, 273, 26142, 333, 14744, 453, 14851, 630, 4486, 5320, 312, 301, 2652, 834, 272, 8442, 543, 630, 16059, 13911, 2652, 834, 272, 257, 8029, 4848, 14851, 630, 338, 337, 7775, 8138, 2652, 834, 272, 257, 8029, 15235, 19677, 10947, 4467, 906, 3519, 8877, 7659, 5320, 2891, 3667, 14744, 4848, 453, 19197, 630, 338, 337, 7775, 8138, 2652, 834, 273, 257, 8029, 15235, 19677, 10947, 4467, 906, 3519, 8877, 7659, 5320, 273, 2891, 3667, 14744, 453, 453, 19197, 630, 4486, 5320, 312, 301, 2652, 834, 272, 8442, 543, 630, 16059, 13911, 2652, 834, 273, 257, 8029, 4848, 14851, 630, 338, 337, 7775, 8138, 2652, 834, 272, 257, 8029, 15235, 19677, 10947, 4467, 906, 3519, 8877, 7659, 5320, 2891, 322, 12364, 14744, 4848, 453, 19197, 630, 338, 337, 7775, 8138, 2652, 834, 273, 257, 8029, 15235, 19677, 10947, 4467, 906, 3519, 8877, 7659, 5320, 273, 2891, 322, 12364, 14744, 453, 453, 19197, 630, 4486, 5320, 312, 301, 2652, 834, 273, 8442, 543, 16733, 16059, 13911, 2652, 834, 272, 8442, 610, 630, 16059, 13911, 2652, 834, 273, 8442, 8029, 4848, 453, 338, 9285, 13911, 815, 3403, 2891, 1692, 1131, 596, 899, 519, 8292, 15044, 286, 630, 272, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6624, 540, 519, 7496, 547, 7127, 538, 513, 1007, 1587, 610, 3028, 610, 1870, 616, 30049, 2065, 269, 634, 7496, 1331, 513, 5458, 2344, 267, 513, 1804, 1297, 540, 15712, 267, 543, 513, 8013, 1604, 563, 12507, 641, 565, 2065, 6735, 11148, 547, 581, 513, 2462, 1966, 1317, 621, 5012, 547, 1018, 594, 1289, 968, 1372, 987, 8520, 1848, 634, 1966, 5956, 609, 519, 1249, 602, 972, 568, 1152, 835, 2754, 538, 519, 1158, 602, 666, 1711, 519, 1587, 610, 3028, 269, 634, 811, 3549, 972, 616, 267, 519, 1447, 2693, 789, 616, 547, 1711, 1945, 602, 568, 5963, 2189, 543, 17709, 540, 519, 3007, 540, 513, 6075, 563, 763, 2669, 8520, 568, 602, 1004, 616, 8348, 547, 2628, 811, 585, 519, 1587, 610, 3028, 952, 621, 2501, 689, 513, 26771, 269, 634, 2669, 8520, 568, 1256, 8338, 1317, 621, 3587, 2352, 547, 16174, 1063, 15712, 1317, 519, 1152, 1259, 547, 16174, 1063, 519, 2472, 610, 2533, 596, 616, 9878, 585, 568, 998, 3902, 269, 1280, 1383, 267, 952, 596, 616, 9878, 1269, 2412, 585, 513, 7484, 540, 7401, 267, 596, 666, 1406, 2731, 5635, 713, 547, 513, 7484, 540, 6995, 610, 7401, 602, 3790, 1269, 272, 269, 2568, 563, 2467, 779, 513, 2603, 540, 10539, 1934, 1317, 519, 2669, 8520, 568, 711, 513, 30049, 2065, 2344, 267, 621, 568, 1869, 513, 8013, 2344, 269, 1809, 1256, 865, 267, 621, 568, 4686, 602, 6800, 786, 2628, 585, 606, 17071, 1587, 610, 3028, 1175, 1317, 621, 2501, 689, 513, 26771, 269, 901, 568, 1317, 6800, 786, 979, 585, 513, 1587, 610, 3028, 602, 568, 2901, 1732, 610, 811, 7199, 3274, 1317, 519, 3902, 568, 1932, 1164, 269, 901, 568, 1946, 596, 1152, 2628, 811, 585, 14167, 3688, 563, 763, 2669, 8520, 568, 513, 30049, 2065, 2872, 1317, 519, 6735, 593, 519, 4950, 568, 865, 18979, 543, 519, 7127, 7496, 1932, 1970, 269, 634, 7127, 7496, 616, 1970, 1317, 519, 4950, 568, 711, 602, 30049, 2065, 269, 1403, 596, 1616, 547, 6133, 707, 1587, 610, 3028, 547, 513, 1804, 1297, 540, 1004, 593, 519, 4950, 267, 596, 786, 991, 547, 2901, 1711, 513, 3896, 267, 610, 1628, 513, 3896, 540, 707, 1378, 269, 901, 568, 1946, 4609, 899, 8835, 543, 552, 29074, 2291, 563, 763, 3364, 568, 602, 519, 7127, 7496, 616, 1932, 1970, 1317, 519, 4950, 568, 711, 30049, 2065, 269, 1703, 568, 1932, 1454, 6735, 538, 519, 1158, 543, 519, 7127, 7496, 616, 1932, 1970, 563, 763, 4950, 568, 13856, 676, 513, 6263, 19625, 540, 519, 4102, 3549, 899, 5616, 267, 9365, 267, 8835, 267, 552, 29074, 267, 543, 11197, 269, 1452, 616, 519, 1152, 3549, 602, 723, 519, 2702, 547, 1118, 513, 7443, 1510, 519, 991, 547, 4283, 513, 26771, 267, 865, 789, 666, 723, 606, 5393, 3532, 26771, 269, 634, 4950, 568, 538, 513, 2990, 547, 581, 30049, 2065, 1317, 519, 5354, 540, 519, 4950, 267, 543, 519, 3003, 1158, 779, 1702, 267, 568, 11884, 2139, 547, 4896, 563, 3719, 519, 4950, 568, 711, 513, 26771, 269, 769, 1249, 267, 621, 779, 513, 3060, 540, 1082, 4130, 5121, 269, 3962, 540, 891, 4130, 5121, 814, 922, 1378, 7127, 7496, 269, 1656, 2899, 596, 723, 707, 1378, 3060, 540, 824, 5121, 267, 596, 666, 1256, 20441, 513, 1906, 5121, 952, 596, 917, 1018, 596, 2461, 3257, 269, 9365, 568, 513, 1434, 1383, 540, 713, 269, 9365, 814, 513, 26771, 1317, 621, 814, 519, 4102, 2344, 676, 2484, 269, 1809, 538, 1931, 547, 1118, 2724, 267, 9365, 568, 2469, 547, 723, 547, 4283, 543, 20441, 513, 1906, 540, 922, 15712, 563, 293, 864, 1504, 814, 2944, 713, 538, 513, 1297, 540, 1114, 2081, 269, 634, 1101, 1259, 9365, 814, 9411, 543, 13856, 519, 2344, 568, 676, 3478, 883, 519, 3377, 1870, 269, 5240, 20555, 616, 513, 3501, 7127, 1259, 883, 519, 8013, 4950, 1317, 789, 616, 865, 2653, 547, 2671, 269, 2334, 1797, 596, 666, 2671, 1344, 609, 4896, 538, 519, 1158, 267, 9170, 269, 1403, 596, 1810, 1406, 723, 513, 9365, 2272, 267, 596, 666, 1406, 2731, 1569, 602, 2186, 540, 1344, 865, 596, 723, 547, 7048, 593, 824, 2081, 540, 4687, 563, 6546, 568, 519, 2034, 1259, 9365, 814, 9411, 543, 13856, 519, 2344, 269, 5502, 540, 1175, 3478, 883, 519, 3377, 1870, 267, 519, 2754, 814, 2813, 513, 3377, 2754, 585, 922, 1514, 13033, 3760, 269, 2334, 1797, 602, 1169, 942, 596, 1294, 513, 1650, 593, 9365, 267, 621, 786, 2408, 593, 707, 5240, 16376, 269, 0, 7197, 5321, 543, 4213, 946, 2413, 5907, 3937, 971, 607, 5904, 267, 9913, 7740, 267, 14580, 2314, 267, 543, 10260, 1652, 11436, 269, 2353, 540, 891, 11418, 616, 11630, 547, 1379, 1147, 2471, 610, 26389, 269, 901, 1797, 602, 538, 1447, 982, 513, 2034, 267, 519, 3339, 476, 6344, 270, 13301, 24311, 540, 5201, 8023, 707, 11418, 1223, 7914, 909, 547, 476, 6110, 24311, 610, 2362, 563, 4322, 1147, 2471, 666, 581, 3361, 676, 6808, 10913, 267, 7745, 3529, 17873, 267, 1524, 1379, 3515, 267, 1164, 12798, 267, 543, 1082, 824, 18063, 269, 2659, 1378, 2777, 949, 2014, 1147, 2471, 689, 6296, 4238, 971, 607, 4881, 513, 8670, 13195, 615, 610, 3819, 518, 563, 20776, 613, 2149, 832, 616, 2966, 547, 15972, 519, 6453, 602, 20489, 519, 7182, 269, 1879, 519, 26389, 2049, 585, 513, 6190, 8653, 267, 519, 29212, 3926, 568, 15181, 563, 7197, 10006, 2149, 832, 786, 3136, 547, 1599, 607, 513, 1379, 14816, 1256, 1498, 519, 10006, 15972, 7271, 729, 10032, 676, 513, 1379, 10006, 269, 901, 568, 5906, 1317, 952, 1776, 10006, 4386, 267, 519, 3937, 726, 28289, 538, 1223, 581, 8697, 269, 4746, 267, 952, 6190, 6453, 10596, 998, 519, 10006, 2149, 528, 1813, 547, 1776, 1379, 10006, 267, 513, 2110, 949, 581, 4646, 3850, 23986, 908, 547, 2049, 543, 7654, 513, 3595, 547, 5337, 924, 269, 0, 26239, 11388, 1436, 960, 6663, 547, 6133, 610, 12689, 7574, 1568, 543, 2575, 19827, 585, 946, 538, 9413, 267, 7641, 267, 5010, 338, 267, 3756, 543, 824, 19180, 1543, 269, 634, 1184, 540, 11093, 2575, 538, 1114, 2923, 8658, 568, 1572, 5348, 322, 267, 543, 1312, 10297, 543, 21101, 960, 609, 5348, 322, 540, 1568, 543, 19827, 267, 6606, 563, 26239, 11388, 1436, 2924, 4308, 609, 519, 28094, 540, 2575, 543, 5961, 8276, 990, 625, 269, 1403, 513, 4670, 610, 3381, 16073, 16858, 547, 946, 6870, 2575, 538, 513, 7641, 2504, 267, 4670, 267, 610, 8613, 5010, 267, 789, 1590, 723, 10479, 689, 519, 2924, 25963, 630, 18485, 519, 2924, 25963, 540, 519, 6592, 3950, 547, 581, 1031, 267, 607, 1134, 607, 519, 10677, 25963, 1040, 1403, 606, 4540, 5152, 610, 2609, 23476, 616, 547, 581, 1031, 267, 10479, 1590, 4061, 1419, 581, 5833, 689, 1312, 519, 5152, 5856, 543, 17404, 607, 1134, 607, 519, 6003, 602, 814, 6592, 543, 5950, 519, 5152, 543, 6585, 519, 2924, 547, 519, 3950, 3294, 563, 1103, 930, 2665, 267, 25584, 568, 2813, 585, 606, 7376, 610, 538, 4276, 609, 513, 1788, 269, 13531, 906, 593, 25584, 666, 581, 9411, 883, 609, 10297, 267, 21101, 267, 2359, 610, 3791, 6105, 269, 2755, 25584, 1058, 3895, 519, 1719, 543, 4656, 540, 519, 7376, 267, 621, 666, 849, 1711, 513, 2707, 540, 4747, 2332, 1582, 269, 0, 10481, 2762, 543, 19004, 454, 307, 584, 4486, 267, 2197, 602, 26328, 513, 2189, 13664, 2990, 267, 14084, 14356, 538, 5607, 543, 14356, 538, 2342, 269, 10801, 922, 1686, 621, 814, 19500, 607, 1312, 513, 11064, 543, 513, 8115, 1063, 519, 1079, 17407, 563, 307, 584, 4486, 568, 13883, 693, 519, 3444, 30030, 540, 519, 26811, 753, 267, 24272, 30510, 267, 5664, 5101, 267, 543, 9456, 11335, 269, 898, 568, 1851, 519, 3677, 2477, 540, 519, 3148, 538, 2474, 540, 8513, 543, 2551, 267, 543, 922, 2244, 1858, 568, 3152, 982, 602, 540, 1022, 3864, 1533, 269, 27819, 782, 540, 519, 2197, 568, 538, 5607, 267, 16030, 519, 1073, 14075, 25345, 540, 5607, 19724, 1765, 10193, 1634, 607, 26277, 16288, 630, 2304, 611, 565, 340, 28931, 663, 267, 538, 519, 7532, 267, 851, 540, 513, 29990, 3148, 3006, 1634, 607, 519, 29515, 4400, 1633, 269, 634, 14230, 1765, 307, 24642, 880, 774, 15869, 630, 9199, 5652, 320, 28931, 15533, 538, 519, 3665, 25878, 851, 540, 2342, 267, 513, 6263, 20276, 656, 540, 606, 10504, 602, 2899, 6905, 936, 1454, 540, 519, 26811, 753, 563, 763, 2197, 814, 513, 5087, 1606, 1926, 6708, 602, 9832, 689, 827, 476, 4968, 547, 476, 6110, 5195, 630, 21878, 547, 476, 25953, 5998, 1070, 543, 621, 21018, 827, 476, 272, 267, 1822, 5195, 689, 7178, 547, 7532, 269, 11894, 568, 22112, 593, 519, 5087, 676, 519, 4563, 7256, 267, 593, 519, 22583, 676, 11908, 543, 18433, 807, 267, 593, 519, 7532, 676, 29494, 13568, 543, 9459, 267, 593, 519, 22703, 676, 12925, 543, 16850, 267, 593, 519, 22236, 543, 7178, 676, 519, 11335, 7256, 543, 519, 32363, 613, 534, 7256, 267, 543, 593, 519, 22070, 676, 10255, 543, 31697, 269, 634, 3854, 568, 1323, 330, 4673, 267, 543, 922, 4102, 2749, 543, 694, 777, 677, 568, 594, 30955, 563, 8170, 513, 2698, 10465, 3259, 540, 930, 476, 275, 267, 1822, 5195, 630, 277, 267, 24496, 5998, 1070, 827, 1614, 21144, 2195, 568, 17535, 267, 1519, 5032, 6050, 2059, 519, 4563, 7256, 267, 519, 32363, 613, 534, 267, 543, 519, 11335, 267, 607, 1134, 607, 519, 562, 541, 4900, 602, 3095, 519, 4563, 543, 32363, 613, 534, 15798, 269, 1452, 562, 541, 4900, 30147, 1331, 519, 18548, 1602, 639, 267, 519, 7256, 540, 631, 1301, 4673, 267, 543, 519, 667, 731, 534, 21304, 1765, 732, 1634, 15217, 607, 519, 15349, 2269, 1080, 282, 11894, 779, 1852, 540, 519, 2269, 1080, 267, 519, 1152, 17752, 689, 519, 4563, 7256, 267, 814, 1044, 513, 2101, 3815, 538, 922, 1894, 609, 824, 2829, 269, 4107, 540, 519, 10195, 2059, 519, 32363, 613, 534, 5032, 616, 5259, 282, 1152, 519, 10195, 540, 717, 7238, 330, 9809, 1737, 320, 543, 4425, 345, 8619, 3385, 2611, 538, 15349, 3946, 269, 634, 17535, 10465, 609, 10255, 814, 1044, 513, 2707, 540, 15539, 1063, 519, 1079, 2477, 593, 3875, 14026, 2094, 2622, 2782, 4083, 563, 288, 1279, 19588, 540, 2797, 9988, 11478, 538, 5607, 19724, 936, 519, 5553, 269, 12395, 5443, 11031, 22983, 26277, 16288, 538, 519, 476, 1556, 628, 2540, 9460, 267, 15713, 519, 17286, 9857, 336, 10504, 282, 1282, 519, 476, 1691, 628, 2540, 519, 16368, 7276, 3459, 513, 1279, 7269, 267, 8757, 922, 8445, 1282, 519, 476, 1704, 628, 2540, 269, 634, 2413, 15349, 14081, 267, 8547, 538, 476, 4572, 274, 1310, 519, 12900, 540, 519, 16368, 7276, 267, 568, 513, 28929, 267, 16712, 267, 25931, 9111, 269, 2991, 513, 1974, 540, 835, 18407, 4341, 896, 922, 13653, 267, 18771, 2378, 320, 918, 655, 531, 630, 4263, 520, 14660, 330, 1070, 543, 1010, 24288, 267, 15349, 6608, 2094, 519, 476, 4198, 271, 338, 723, 1044, 3812, 676, 6687, 691, 344, 12836, 1759, 593, 8471, 2937, 27049, 563, 307, 584, 4486, 568, 513, 15866, 29990, 2197, 267, 543, 3020, 1970, 1633, 568, 16876, 547, 519, 9381, 535, 2590, 525, 269, 6168, 835, 21144, 628, 540, 519, 2627, 814, 606, 15038, 1657, 476, 275, 267, 1822, 3952, 630, 272, 267, 1220, 15432, 1070, 543, 1447, 982, 1079, 1922, 604, 2195, 6013, 2630, 476, 272, 267, 4335, 3952, 630, 29121, 15432, 1040, 13738, 1212, 7370, 9765, 476, 278, 267, 4335, 3952, 630, 273, 267, 4968, 15432, 264, 538, 1082, 4025, 267, 3226, 538, 519, 7532, 267, 1141, 11894, 779, 5207, 7823, 267, 6778, 1488, 541, 520, 630, 288, 30322, 337, 13799, 1070, 10301, 476, 1626, 267, 280, 3393, 3952, 630, 276, 267, 13679, 15432, 264, 2673, 547, 519, 10665, 609, 18433, 807, 543, 9459, 269, 769, 519, 22703, 519, 21853, 31122, 4157, 30078, 10301, 476, 1428, 267, 6321, 274, 3952, 630, 275, 267, 278, 4510, 15432, 5148, 1498, 2417, 7178, 267, 519, 5915, 25184, 1794, 13799, 330, 30078, 630, 1321, 267, 17168, 3952, 1496, 274, 267, 4037, 276, 15432, 8079, 543, 6778, 589, 11770, 657, 630, 1556, 267, 29300, 3952, 1496, 274, 267, 5325, 280, 15432, 8079, 616, 849, 1713, 19589, 269, 6008, 788, 19527, 616, 1455, 2429, 519, 2197, 267, 543, 6366, 610, 9900, 1793, 14563, 2244, 2306, 909, 18923, 835, 29350, 628, 540, 519, 2698, 1858, 269, 1452, 8323, 2934, 1860, 824, 3344, 540, 519, 2168, 1604, 267, 6721, 16374, 1419, 1454, 554, 1513, 615 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15371, 596, 2461, 513, 1007, 1153, 1514, 11832, 1175, 4358, 856, 610, 3168, 547, 9337, 519, 22573, 3029, 596, 4076, 1044, 1210, 2094, 519, 4571, 476, 3445, 12664, 338, 267, 519, 3640, 568, 2386, 547, 2743, 707, 2115, 269, 898, 2882, 3029, 4122, 2877, 585, 1153, 1514, 960, 2259, 2336, 290, 2100, 2275, 820, 2534, 268, 851, 540, 513, 12003, 1983, 2534, 17142, 269, 5269, 513, 1507, 7484, 322, 820, 610, 513, 1804, 7484, 322, 820, 269, 29452, 1453, 2697, 741, 1514, 7028, 543, 12003, 1983, 630, 10175, 2318, 1582, 2389, 1779, 264, 998, 513, 1187, 3014, 269, 2422, 1159, 11481, 12508, 547, 2681, 707, 7484, 322, 820, 543, 707, 5023, 786, 1216, 2483, 21938, 4317, 16508, 4804, 29960, 25143, 548, 454, 290, 1735, 1088, 532, 3211, 267, 2238, 267, 543, 3756, 547, 948, 1453, 1305, 2123, 6302, 267, 1174, 1514, 2219, 6882, 267, 5818, 1582, 22644, 998, 2318, 14751, 725, 267, 543, 2263, 4606, 543, 4664, 563, 1607, 1507, 1895, 13508, 4199, 3568, 1582, 22644, 3756, 267, 1582, 22644, 2238, 267, 4305, 6486, 267, 543, 3211, 547, 948, 1453, 6502, 476, 280, 547, 476, 1691, 1451, 875, 547, 1871, 741, 4502, 543, 2744, 811, 1582, 21873, 269, 1879, 1453, 917, 602, 789, 616, 540, 1871, 543, 616, 1271, 267, 789, 1685, 1134, 538, 1153, 543, 616, 811, 2693, 547, 1265, 1967, 2663, 538, 1272, 563, 14106, 1302, 13267, 16968, 547, 948, 2697, 1455, 12153, 547, 2942, 4664, 269, 589, 5363, 1907, 547, 2038, 10845, 2359, 20136, 568, 513, 12744, 540, 1250, 29502, 623, 639, 615, 1587, 602, 2882, 2238, 543, 1187, 3211, 547, 2697, 12153, 267, 5933, 540, 10845, 267, 543, 5363, 12003, 2994, 4947, 1360, 4166, 269, 10287, 1250, 9365, 2985, 585, 513, 4960, 547, 3094, 519, 29502, 623, 639, 615, 1587, 269, 0, 4462, 8971, 1540, 1257, 12744, 281, 751, 31662, 267, 519, 3119, 17280, 568, 519, 22833, 12365, 622, 19941, 1062, 269, 5153, 476, 274, 281, 290, 522, 513, 575, 579, 561, 513, 512, 1775, 522, 562, 543, 4469, 665, 27218, 634, 6464, 804, 532, 547, 6878, 899, 13897, 543, 4551, 602, 616, 538, 519, 1216, 269, 1452, 5536, 6529, 1927, 547, 1106, 3677, 5536, 799, 1413, 899, 1507, 6960, 8913, 30835, 540, 10412, 15144, 269, 901, 1184, 568, 1572, 1166, 665, 27218, 543, 519, 6960, 5536, 616, 1572, 1166, 665, 338, 269, 634, 1840, 540, 13897, 543, 4551, 547, 1216, 616, 2458, 18042, 538, 2470, 269, 634, 1079, 3119, 2081, 540, 3186, 8494, 1944, 616, 3213, 698, 1637, 543, 4469, 665, 27218, 269, 3213, 698, 1637, 6971, 519, 2121, 5122, 1065, 14601, 4229, 693, 9325, 7252, 676, 32690, 538, 3070, 1247, 1166, 665, 27218, 568, 30843, 28043, 1063, 5536, 269, 676, 3114, 5153, 476, 275, 281, 306, 552, 546, 1775, 544, 552, 562, 512, 513, 512, 1775, 522, 562, 634, 1216, 543, 1166, 665, 10596, 883, 13688, 269, 634, 1166, 665, 3936, 956, 547, 519, 5377, 543, 568, 6569, 689, 519, 1216, 269, 1452, 13688, 949, 581, 9764, 610, 14328, 269, 1358, 616, 1419, 1572, 5587, 13294, 269, 20767, 2939, 566, 568, 519, 8851, 540, 4396, 5536, 689, 513, 20022, 998, 8904, 23928, 269, 769, 1216, 2126, 267, 11159, 566, 568, 1031, 547, 4894, 28634, 2339, 267, 1166, 665, 1529, 730, 23606, 543, 10511, 527, 919, 799, 616, 4646, 538, 4238, 971, 607, 1216, 21352, 532, 610, 4401, 8851, 269, 769, 16894, 4238, 267, 621, 568, 1031, 547, 4894, 1312, 5214, 543, 2326, 799, 616, 7017, 762, 269, 22803, 5153, 476, 276, 281, 293, 1775, 561, 512, 678, 513, 512, 1775, 522, 562, 454, 5475, 11159, 566, 267, 519, 1216, 8928, 998, 12086, 269, 8606, 1562, 616, 1500, 540, 6106, 540, 5070, 543, 18574, 269, 6884, 824, 6878, 971, 607, 16320, 2350, 924, 5755, 267, 543, 15181, 3327, 616, 1031, 538, 519, 6882, 269, 634, 12086, 616, 1031, 547, 4894, 1022, 5536, 6967, 538, 519, 1216, 269, 674, 2830, 1674, 815, 568, 606, 5106, 547, 5094, 17735, 2339, 689, 1216, 2483, 8698, 9509, 11657, 454, 268, 15604, 1412, 1556, 0, 18204, 3603, 6725, 4016, 547, 519, 5916, 2698, 4674, 540, 513, 2754, 547, 1217, 267, 22321, 267, 610, 7618, 5561, 2047, 610, 18549, 827, 519, 2472, 543, 12478, 540, 519, 2754, 563, 15812, 7566, 10618, 616, 5645, 856, 676, 513, 2754, 1210, 519, 1739, 3670, 12331, 540, 10618, 799, 13822, 922, 2792, 3575, 563, 268, 31055, 281, 901, 4016, 547, 1022, 6976, 1106, 540, 2792, 998, 513, 5420, 540, 2527, 2792, 563, 268, 19833, 13319, 281, 901, 4016, 547, 1022, 2110, 2165, 24539, 547, 5000, 4693, 6718, 610, 1022, 824, 1808, 6075, 2962, 563, 268, 15638, 543, 2833, 281, 4467, 11952, 23032, 2621, 610, 2238, 602, 1711, 2027, 2833, 585, 519, 2754, 563, 268, 5398, 9534, 543, 32398, 281, 6145, 10229, 713, 1106, 540, 2792, 849, 2306, 946, 540, 2527, 2923, 547, 3262, 1344, 2966, 547, 3895, 543, 2149, 3239, 543, 10639, 540, 2754, 543, 922, 1587, 269, 1717, 891, 616, 811, 538, 1106, 540, 3377, 543, 824, 1875, 1790, 4660, 10618, 563, 268, 6034, 6725, 281, 4004, 21899, 609, 1367, 5561, 998, 1797, 540, 835, 3562, 14633, 3845, 2792, 971, 607, 13875, 267, 15146, 267, 552, 17733, 543, 5769, 9513, 1062, 563, 268, 9608, 9513, 281, 10021, 3320, 3068, 3562, 19904, 5872, 609, 835, 610, 811, 17053, 6075, 269, 901, 2882, 2123, 9513, 2238, 971, 607, 1818, 14245, 267, 7829, 1843, 687, 267, 543, 14656, 6455, 563, 763, 6725, 2792, 1062, 540, 1034, 2462, 3549, 6451, 782, 891, 2010, 540, 2792, 2409, 269, 6875, 585, 1383, 606, 18914, 3549, 269, 1358, 5305, 29275, 538, 14786, 267, 2027, 10081, 13746, 267, 7641, 543, 11876, 731, 902, 563, 5445, 849, 10891, 6455, 3260, 687, 11044, 538, 799, 5561, 616, 6035, 2027, 9388, 971, 607, 4389, 3902, 610, 3606, 10018, 543, 1863, 1425, 6005, 585, 16306, 1500, 1369, 513, 9138, 1974, 269, 16790, 3549, 849, 2196, 1982, 540, 11744, 741, 2472, 799, 5000, 17053, 5561, 547, 1449, 5397, 519, 6472, 2870, 2168, 1995, 540, 6117, 741, 6472, 563, 2171, 849, 1294, 865, 1082, 4930, 543, 3377, 3688, 827, 10081, 3549, 543, 741, 2472, 17729, 538, 1585, 23447, 540, 2527, 2792, 269, 2353, 3646, 540, 513, 2754, 547, 3310, 971, 10618, 13054, 741, 1857, 6935, 543, 32398, 1982, 563, 8505, 334, 3549, 4749, 849, 4497, 538, 1463, 6725, 267, 2523, 547, 18609, 741, 4540, 6075, 547, 946, 1286, 1425, 6005, 543, 6703, 17101, 610, 13234, 676, 519, 2754, 563, 763, 2754, 849, 2488, 1344, 827, 741, 2472, 593, 2754, 781, 5769, 9513, 4609, 269, 1452, 3135, 5512, 519, 6075, 547, 3442, 543, 19022, 513, 1587, 789, 1616, 547, 4444, 267, 1205, 1344, 593, 519, 5777, 543, 2139, 14104, 10325, 267, 543, 3346, 1344, 540, 14282, 31066, 2111, 547, 3761, 519, 1286, 563, 7661, 519, 10081, 3549, 723, 513, 1804, 3060, 540, 4308, 11429, 602, 15824, 519, 2123, 9513, 1599, 269, 0, 13043, 585, 519, 1647, 1153, 543, 10026, 4116, 454, 14006, 539, 676, 561, 714, 4586, 274, 2699, 11084, 267, 476, 275, 3039, 11084, 267, 543, 476, 276, 5835, 11084, 616, 538, 513, 9126, 269, 1403, 476, 273, 11084, 616, 6537, 14477, 630, 23719, 10682, 264, 1265, 519, 5506, 602, 519, 11084, 616, 1114, 4778, 563, 296, 3893, 476, 5325, 270, 5780, 602, 519, 11084, 616, 1114, 4778, 1862, 529, 602, 1318, 888, 23536, 1464, 547, 2721, 1079, 540, 1482, 7990, 454, 23536, 1464, 547, 2721, 1079, 540, 1114, 15437, 454, 10674, 2517, 4178, 8807, 1956, 27665, 656, 2593, 270, 22238, 1464, 24579, 21793, 1606, 30055, 7933, 3863, 532, 1790, 10107, 5498, 22162, 26690, 31644, 2173, 648, 1532, 8712, 1532, 2135, 1532, 698, 268, 1248, 268, 6860, 21703, 543, 1082, 7648, 540, 519, 1482, 9126, 563, 14188, 596, 1360, 1454, 585, 596, 948, 281, 264, 0, 12988, 547, 3427, 281, 5675, 4741, 281, 3427, 27484, 13268, 564, 4534, 8894, 1607, 1153, 17142, 568, 3501, 585, 513, 1603, 4099, 610, 7924, 4099, 269, 901, 476, 1724, 2985, 17142, 2882, 912, 276, 3817, 1107, 1703, 568, 513, 3109, 543, 3043, 4605, 5401, 693, 519, 1283, 540, 1142, 2985, 543, 3515, 593, 519, 2539, 3368, 540, 1957, 585, 1603, 827, 519, 4605, 269, 24436, 3769, 616, 30618, 267, 1153, 2679, 267, 4116, 267, 1668, 267, 11380, 609, 7911, 269, 2353, 5961, 616, 3109, 543, 3043, 547, 1450, 1053, 547, 2681, 1310, 1603, 827, 519, 4605, 563, 275, 3817, 1107, 8422, 3109, 543, 3043, 610, 10477, 1153, 5961, 609, 1913, 616, 3769, 593, 1142, 2985, 269, 2991, 1142, 4605, 267, 972, 616, 1079, 10145, 3515, 585, 1053, 547, 2328, 513, 4845, 585, 1142, 4605, 269, 8525, 476, 272, 814, 5862, 11453, 267, 30618, 267, 1153, 2679, 630, 18872, 543, 3043, 5148, 2985, 476, 273, 814, 1668, 267, 4116, 267, 22916, 517, 630, 18872, 543, 3043, 5148, 2985, 476, 274, 814, 23805, 267, 21641, 267, 1433, 630, 18872, 543, 3043, 5148, 2985, 476, 275, 814, 15441, 267, 15513, 267, 2338, 630, 10233, 1916, 272, 2985, 1107, 901, 1153, 1913, 5750, 814, 8370, 5961, 609, 12805, 1913, 896, 1142, 4605, 269, 634, 8370, 5961, 270, 6919, 616, 15441, 6529, 267, 2780, 267, 23805, 267, 1668, 267, 1153, 2679, 267, 2835, 267, 4116, 267, 15513, 267, 543, 22916, 976, 269, 700, 3133, 622, 543, 2322, 538, 1603, 4099, 563, 274, 3817, 1107, 476, 272, 264, 1215, 547, 12532, 538, 7412, 476, 273, 264, 1215, 547, 979, 13560, 513, 22391, 267, 543, 476, 274, 264, 1215, 547, 3503, 513, 22054, 1107, 634, 1913, 1101, 267, 1985, 267, 543, 2063, 616, 3769, 693, 519, 4098, 540, 1142, 4845, 1900, 269, 1703, 568, 513, 4216, 585, 1053, 547, 2721, 513, 4605, 585, 1142, 1900, 540, 519, 1184, 267, 476, 274, 10833, 543, 476, 274, 4845, 26784, 585, 1142, 968, 6011, 3562, 3034, 16240, 3817, 666, 849, 581, 2366, 1753, 585, 6780, 3850, 3237, 547, 1294, 741, 1126, 779, 3942, 540, 1603, 269, 594, 4126, 707, 1053, 2972, 1603, 827, 1142, 4605, 3769, 543, 1020, 513, 2648, 585, 1603, 563, 1607, 2534, 568, 17047, 609, 519, 1739, 16671, 294, 4916, 912, 28716, 1250, 5816, 5291, 2517, 20142, 2193, 906, 11779, 7124, 269, 24108, 4944, 582, 2593, 13045, 12552, 585, 16069, 676, 256, 0, 296, 2648, 2870, 2472, 602, 723, 513, 1483, 1158, 3498, 267, 2523, 538, 2979, 269, 901, 4305, 3217, 1053, 998, 7446, 513, 21799, 585, 513, 28278, 15743, 602, 814, 513, 1808, 4320, 267, 543, 1287, 1818, 2386, 621, 814, 1978, 16551, 267, 799, 786, 8415, 6824, 1983, 630, 32061, 267, 18946, 267, 14921, 267, 543, 12270, 1040, 4841, 786, 1287, 2721, 513, 6989, 1544, 602, 568, 547, 4336, 540, 519, 21799, 602, 729, 6074, 269, 1306, 513, 4161, 267, 1053, 666, 1287, 2721, 513, 476, 274, 291, 21799, 1210, 519, 1482, 4336, 602, 729, 6074, 585, 741, 29685, 269, 1323, 2626, 1883, 568, 3769, 267, 2059, 609, 5961, 540, 513, 3732, 6989, 1544, 543, 476, 274, 291, 5373, 563, 1607, 568, 513, 1390, 1259, 547, 2689, 6824, 543, 4320, 1983, 267, 610, 2285, 707, 4359, 1053, 513, 4161, 256, 0, 2252, 596, 991, 1945, 547, 946, 607, 513, 1187, 2689, 585, 707, 3214, 267, 713, 17142, 568, 3501, 585, 596, 269, 1452, 4305, 6486, 3382, 5722, 1114, 1455, 4295, 4441, 269, 1703, 568, 606, 2534, 602, 4422, 609, 1142, 4305, 543, 513, 1747, 585, 707, 1053, 547, 2594, 741, 4267, 563, 28830, 32087, 616, 912, 272, 269, 4518, 631, 1846, 630, 273, 9537, 994, 274, 269, 476, 278, 17130, 21998, 630, 2419, 1779, 4580, 4528, 543, 3043, 4580, 4528, 994, 275, 269, 26629, 806, 585, 1142, 4305, 454, 276, 269, 5589, 1800, 25420, 454, 307, 3696, 3769, 616, 912, 272, 269, 6478, 10819, 630, 272, 20166, 288, 6993, 269, 272, 994, 273, 269, 20970, 630, 272, 8160, 291, 6993, 269, 273, 994, 274, 269, 5517, 19198, 630, 272, 20166, 288, 11065, 269, 274, 994, 275, 269, 6936, 270, 16178, 12307, 630, 272, 20166, 288, 6185, 269, 278, 994, 276, 269, 9255, 10025, 281, 570, 839, 543, 2201, 525, 630, 272, 12991, 6630, 11065, 269, 273, 994, 277, 269, 5384, 281, 28914, 543, 21009, 28914, 630, 272, 8160, 291, 11065, 269, 274, 994, 278, 269, 8641, 532, 630, 272, 8160, 291, 5861, 269, 275, 994, 9616, 281, 901, 17142, 666, 849, 581, 1031, 607, 513, 2689, 585, 2034, 3446, 563, 2252, 596, 723, 1022, 2055, 5225, 2307, 803, 593, 519, 2055, 3296, 540, 570, 8976, 610, 4757, 803, 693, 11553, 2464, 305, 7112, 14138 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8073, 1079, 14290, 267, 835, 4009, 543, 519, 824, 513, 6241, 609, 519, 2338, 602, 616, 593, 519, 1318, 540, 519, 3160, 1129, 454, 4399, 8218, 15204, 2410, 347, 322, 347, 322, 347, 322, 1475, 322, 347, 348, 642, 3709, 305, 272, 348, 1299, 642, 3709, 305, 273, 348, 1299, 1775, 318, 272, 1299, 815, 8607, 1422, 327, 1467, 476, 272, 261, 271, 261, 268, 1911, 261, 271, 11138, 476, 271, 261, 272, 261, 268, 1911, 261, 271, 11138, 476, 272, 261, 272, 261, 271, 261, 272, 11138, 1422, 754, 15204, 4151, 4399, 23976, 259, 4399, 8218, 21421, 348, 476, 272, 1299, 476, 271, 1299, 910, 1911, 8607, 476, 271, 1299, 476, 272, 1299, 910, 1911, 8607, 476, 272, 1299, 476, 272, 1299, 476, 271, 1422, 754, 21421, 4151, 4399, 12712, 2280, 259, 4399, 8218, 21421, 348, 966, 3709, 305, 272, 27874, 966, 3709, 305, 273, 27874, 1775, 318, 272, 1422, 754, 21421, 4151, 815, 4399, 8218, 21421, 348, 476, 271, 11138, 476, 271, 11138, 476, 272, 1422, 754, 21421, 21456, 1892, 4283, 519, 14290, 883, 4223, 24248, 610, 2147, 1982, 454, 4399, 8218, 21421, 348, 966, 3709, 305, 272, 27874, 966, 3709, 305, 273, 27874, 1775, 318, 272, 1422, 754, 21421, 4151, 815, 4399, 8218, 21421, 348, 476, 271, 269, 276, 11138, 476, 271, 269, 276, 11138, 476, 271, 269, 22650, 1422, 754, 21421, 10592, 2162, 3244, 3634, 692, 763, 3804, 568, 547, 18082, 538, 8940, 6983, 1844, 3726, 18350, 2593, 269, 8437, 593, 713, 3095, 543, 4945, 593, 519, 18082, 7735, 693, 519, 5377, 269, 8844, 519, 4050, 936, 543, 1472, 519, 5547, 780, 4910, 626, 832, 281, 634, 1699, 568, 476, 276, 2742, 607, 10567, 269, 18564, 519, 1129, 540, 519, 1699, 269, 898, 2242, 1063, 910, 543, 1341, 476, 276, 12103, 269, 898, 5654, 2318, 950, 10024, 519, 1283, 630, 288, 264, 540, 519, 27856, 1141, 519, 6453, 568, 2318, 269, 901, 2306, 519, 1699, 2318, 780, 14157, 339, 1137, 616, 3448, 547, 2666, 269, 634, 6453, 693, 519, 1283, 540, 519, 1379, 3761, 543, 1283, 540, 519, 19919, 616, 519, 1482, 1317, 789, 616, 851, 540, 519, 1482, 24735, 22882, 269, 634, 6453, 568, 476, 272, 18699, 1317, 621, 568, 519, 6453, 2066, 1312, 27856, 269, 634, 6453, 2066, 519, 5377, 19919, 568, 3368, 540, 713, 607, 10567, 780, 20175, 18242, 281, 634, 6587, 568, 3020, 540, 519, 1379, 3761, 269, 7351, 568, 2469, 856, 540, 519, 1283, 630, 288, 264, 540, 519, 1379, 3761, 543, 568, 13042, 2942, 269, 7351, 4947, 856, 540, 519, 1341, 12363, 540, 4376, 568, 2942, 780, 20175, 6726, 566, 1384, 14157, 5653, 543, 1699, 616, 3586, 780, 1892, 1269, 303, 815, 1775, 265, 341, 14204, 1892, 1269, 303, 3709, 25899, 348, 1341, 623, 3709, 305, 272, 348, 1341, 623, 3709, 305, 273, 348, 815, 476, 271, 14204, 1892, 1269, 8987, 269, 22650, 12684, 272, 1341, 30285, 22650, 12684, 269, 276, 1341, 30285, 22650, 12684, 269, 276, 815, 476, 271, 6911, 2162, 12706, 2271, 340, 819, 692, 1607, 568, 513, 2241, 5547, 11744, 2035, 4988, 538, 6323, 780, 1892, 1763, 626, 832, 540, 3160, 1871, 538, 3126, 8237, 519, 6453, 2066, 873, 563, 1892, 1763, 626, 832, 7941, 909, 519, 6453, 538, 3126, 269, 0, 258, 11272, 27989, 5999, 543, 12226, 1107, 634, 30579, 29435, 518, 543, 7351, 29435, 518, 27989, 692, 1607, 1305, 540, 11272, 27989, 5999, 543, 12226, 585, 674, 637, 1667, 6212, 593, 968, 763, 30579, 29435, 518, 543, 7351, 29435, 518, 27989, 892, 780, 272, 269, 7316, 6453, 6498, 1966, 14340, 454, 320, 264, 10022, 4448, 27856, 454, 321, 264, 23155, 4448, 27856, 454, 322, 264, 1879, 27856, 616, 3160, 454, 323, 264, 5637, 3126, 543, 6252, 27856, 780, 15008, 281, 769, 3126, 267, 6453, 568, 519, 3017, 543, 1699, 1482, 780, 273, 269, 7316, 1699, 6498, 1966, 14340, 454, 320, 264, 10022, 4448, 27856, 454, 321, 264, 23155, 4448, 27856, 454, 322, 264, 1879, 27856, 616, 3160, 454, 323, 264, 5637, 3126, 543, 6252, 27856, 780, 15008, 281, 769, 6252, 6453, 568, 1482, 543, 1699, 568, 519, 3017, 780, 274, 269, 1403, 972, 616, 476, 274, 1763, 626, 832, 681, 272, 267, 681, 273, 543, 681, 274, 538, 3126, 543, 966, 568, 2698, 6453, 543, 594, 568, 2698, 1699, 1287, 30579, 2066, 681, 273, 568, 454, 320, 264, 966, 681, 274, 270, 681, 272, 1341, 681, 273, 1341, 681, 274, 454, 321, 264, 966, 681, 273, 270, 681, 272, 1341, 681, 273, 1341, 681, 274, 454, 322, 264, 966, 681, 272, 24250, 272, 1341, 681, 273, 1341, 681, 274, 454, 323, 264, 966, 692, 15008, 281, 966, 273, 815, 296, 681, 273, 454, 284, 966, 681, 273, 270, 681, 272, 1341, 681, 273, 1341, 681, 274, 780, 275, 269, 12433, 30579, 2066, 476, 273, 11433, 355, 1763, 626, 528, 1141, 3761, 642, 284, 476, 1015, 14179, 1206, 780, 320, 264, 476, 273, 309, 454, 321, 264, 476, 274, 309, 454, 322, 264, 476, 1015, 309, 454, 323, 264, 476, 275, 309, 692, 15008, 281, 594, 815, 476, 1015, 270, 276, 815, 476, 273, 288, 454, 309, 273, 815, 476, 1015, 263, 273, 994, 309, 273, 815, 594, 10611, 273, 454, 284, 476, 273, 263, 273, 994, 275, 309, 780, 276, 269, 12433, 1775, 815, 2496, 320, 264, 910, 272, 288, 454, 321, 264, 1341, 273, 288, 454, 322, 264, 476, 279, 288, 454, 323, 264, 910, 276, 288, 692, 15008, 281, 1775, 815, 476, 272, 270, 272, 266, 274, 263, 279, 994, 284, 476, 273, 288, 780, 277, 269, 1280, 513, 6252, 4448, 19919, 681, 272, 267, 681, 273, 543, 513, 6453, 540, 966, 24311, 269, 7351, 2066, 519, 1101, 19919, 568, 2016, 676, 454, 320, 264, 594, 681, 272, 454, 321, 264, 594, 681, 273, 454, 322, 264, 594, 681, 272, 1315, 681, 272, 1341, 681, 273, 454, 323, 264, 594, 681, 273, 1315, 681, 272, 1341, 681, 273, 692, 15008, 281, 594, 272, 815, 966, 1315, 681, 272, 454, 305, 815, 681, 272, 269, 681, 273, 1315, 681, 272, 1341, 681, 273, 454, 284, 594, 1547, 681, 272, 269, 681, 273, 1315, 681, 272, 1547, 681, 272, 1341, 681, 273, 454, 296, 272, 815, 594, 681, 273, 1315, 681, 272, 1341, 681, 273, 780, 278, 269, 681, 272, 815, 476, 272, 11433, 355, 267, 681, 273, 815, 476, 274, 11433, 355, 267, 681, 274, 815, 476, 276, 11433, 355, 543, 681, 275, 815, 476, 278, 11433, 355, 4448, 538, 3126, 269, 11192, 6453, 815, 476, 736, 309, 267, 7351, 594, 267, 966, 273, 815, 888, 320, 264, 594, 815, 476, 272, 269, 2537, 267, 966, 273, 815, 476, 274, 269, 4037, 454, 321, 264, 594, 815, 476, 272, 269, 1839, 267, 966, 273, 815, 476, 274, 269, 4037, 454, 322, 264, 594, 815, 476, 272, 269, 1428, 267, 966, 273, 284, 476, 274, 269, 10463, 454, 323, 264, 594, 815, 476, 272, 269, 1626, 267, 966, 273, 815, 476, 274, 269, 7761, 692, 15008, 281, 594, 815, 476, 736, 270, 476, 272, 1341, 476, 274, 1341, 476, 276, 1341, 476, 278, 815, 476, 272, 269, 1839, 288, 454, 309, 273, 815, 966, 269, 681, 273, 1315, 681, 272, 1341, 681, 273, 1341, 681, 274, 1341, 681, 275, 454, 284, 476, 736, 263, 274, 8358, 1626, 454, 284, 476, 274, 269, 4037, 309, 780, 279, 269, 681, 272, 815, 476, 272, 11433, 355, 267, 681, 273, 815, 476, 274, 11433, 355, 267, 681, 274, 815, 476, 276, 11433, 355, 543, 681, 275, 815, 476, 278, 11433, 355, 4448, 538, 6252, 269, 11192, 7351, 815, 476, 2537, 288, 269, 3973, 966, 267, 594, 272, 2073, 594, 273, 815, 888, 320, 264, 476, 1321, 269, 2918, 341, 267, 476, 272, 269, 278, 1839, 267, 476, 273, 269, 279, 4037, 454, 321, 264, 476, 1321, 269, 2537, 341, 267, 476, 273, 269, 279, 4037, 267, 476, 272, 269, 278, 1839, 454, 322, 264, 476, 1556, 269, 2918, 341, 267, 476, 272, 269, 4817, 267, 476, 272, 269, 10619, 454, 323, 264, 476, 1556, 269, 2537, 341, 267, 476, 272, 269, 10619, 267, 476, 272, 269, 4817, 692, 15008, 281, 966, 815, 594, 24250, 454, 309, 815, 594, 630, 305, 272, 1341, 681, 273, 264, 681, 272, 681, 273, 815, 476, 1321, 269, 2918, 341, 454, 296, 272, 815, 16843, 273, 270, 681, 272, 1341, 681, 273, 815, 476, 272, 269, 278, 1839, 288, 454, 296, 273, 815, 16843, 272, 270, 681, 272, 1341, 681, 273, 454, 284, 476, 273, 269, 279, 4037, 288, 780, 280, 269, 30579, 6498, 568, 2556, 585, 6252, 4187, 5121, 454, 320, 264, 6936, 454, 321, 264, 8771, 692, 15008, 281, 769, 6252, 267, 4276, 6453, 568, 1482, 865, 1100, 6498, 568, 2838, 780, 1015, 269, 4208, 568, 1699, 6498, 2556, 888, 320, 264, 769, 3126, 1699, 568, 519, 1482, 454, 321, 264, 769, 6252, 1699, 15320, 454, 322, 264, 5221, 519, 6453, 568, 849, 1114, 454, 323, 264, 5221, 540, 17340, 577, 327, 4752, 779, 4031, 780, 15008, 281, 769, 6252, 1699, 15320, 780, 26596, 11398, 787, 6820, 4065, 1299, 4804, 10022, 1107, 11272, 27989, 780, 2414, 2259, 782, 2127, 540, 11272, 27989, 585, 674, 637, 1667, 267, 1934, 568, 2347, 1305, 540, 476, 1911, 271, 266, 13038, 14893, 5999, 543, 12226, 780, 2252, 596, 1265, 513, 12161, 538, 2243, 1315, 4781, 1315, 2626, 267, 24963, 1491, 513, 13819, 14653, 543, 4757, 547, 1496, 16942, 1109, 31695, 316, 0, 258, 744, 9536, 543, 4634, 1109, 303, 16993, 692, 1607, 568, 20837, 540, 3117, 4109, 1145, 14349, 630, 339, 787, 17511, 602, 1483, 3728, 264, 543, 2221, 938, 5401, 568, 270, 732, 519, 1913, 968, 15957, 543, 5924, 1256, 6100, 1109, 5213, 1406, 2307, 803, 1946, 855, 713, 1500, 803, 1589, 540, 519, 1109, 2399, 602, 952, 596, 1039, 1079, 9642, 2338, 1927, 596, 1205, 606, 1256, 1297, 585, 519, 2626, 267, 2141, 269, 3973, 594, 15422, 606, 3635, 649, 1705, 538, 519, 9752, 1982, 594, 729, 538, 1394, 538, 476, 1220, 280, 610, 865, 269, 898, 729, 519, 4569, 4147, 585, 3610, 593, 2081, 547, 4001, 2979, 2035, 547, 16504, 543, 5664, 3427, 1053, 269, 594, 993, 2386, 1082, 1004, 616, 3222, 602, 972, 616, 782, 891, 1007, 2081, 540, 3450, 4569, 602, 616, 1114, 689, 519, 2081, 649, 4121, 269, 2290, 3364, 602, 729, 4241, 547, 803, 729, 713, 2370, 3635, 649, 1705, 593, 3270, 269, 1879, 594, 5143, 1250, 14357, 827, 875, 1109, 325, 2444, 3215, 621, 729, 547, 803, 267, 1352, 1109, 339, 1245, 803, 602, 930, 4223, 11490, 2103, 6108, 741, 942, 1175, 4974, 3270, 269, 898, 568, 2186, 540, 899, 713, 12357, 267, 25386, 267, 21042, 9713, 3364, 269, 6145, 968, 306, 3726, 13826, 892, 1131, 2161, 538, 519, 25014, 773, 12942, 3126, 267, 968, 763, 1109, 15574, 568, 856, 972, 14325, 8512, 540, 519, 3635, 689, 519, 4569, 1433, 729, 1376, 609, 519, 1297, 476, 274, 1287, 7914, 676, 476, 276, 338, 543, 2328, 1524, 519, 2338, 2394, 827, 476, 9873, 269, 594, 1705, 621, 713, 6640, 2394, 476, 15836, 269, 3973, 621, 3081, 5469, 607, 1082, 3270, 607, 596, 666, 269, 594, 8068, 602, 476, 274, 543, 476, 279, 1832, 20367, 607, 519, 2063, 7857, 269, 3767, 952, 596, 1039, 519, 5595, 543, 17784, 9704, 540, 519, 2338, 543, 2328, 707, 2626, 936, 519, 1297, 596, 786, 5469, 1776, 4806, 267, 630, 11034, 609, 476, 274, 1586, 264, 16634, 274, 267, 476, 279, 267, 476, 275, 267, 476, 280, 267, 476, 276, 267, 476, 1015, 267, 476, 277, 267, 476, 1556, 267, 476, 278, 267, 476, 1321, 267, 476, 279, 267, 476, 1724, 267, 476, 280, 267, 476, 1691, 267, 476, 1015, 267, 476, 1428, 2507, 663, 865, 593, 269, 5272, 824, 1297, 4679, 676, 835, 269, 589, 8150, 25105, 327, 327, 256, 3807, 737, 27570, 267, 594, 1589, 269, 594, 1705, 1776, 835, 4358, 693, 476, 272, 543, 17259, 676, 476, 274, 338, 269, 594, 7074, 602, 519, 4806, 540, 2034, 7857, 18110, 1281, 711, 2253, 2394, 596, 3914, 476, 4029, 269, 594, 1223, 4440, 4603, 609, 891, 3270, 782, 1554, 780, 28646, 594, 786, 1175, 1293, 676, 476, 273, 338, 543, 2161, 649, 616, 1256, 269, 1109, 9462, 30904, 692, 308, 4594, 779, 9454, 531, 3842, 9504, 692, 4407, 3168, 585, 513, 1297, 5750, 594, 1336, 772, 4594, 779, 9454, 531, 269, 1403, 596, 1224, 827, 772, 4594, 779, 9454, 531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1862, 476, 273, 343, 317, 273, 268, 280, 343, 284, 272, 630, 11357, 339, 847, 476, 272, 689, 1312, 5011, 540, 519, 3830, 1287, 2253, 264, 476, 273, 343, 317, 273, 268, 280, 343, 268, 272, 284, 271, 11088, 1535, 317, 273, 6920, 476, 273, 3435, 2422, 13392, 4542, 676, 726, 19982, 538, 8612, 4632, 513, 284, 273, 536, 15871, 280, 524, 15871, 272, 630, 8145, 1897, 910, 321, 1797, 519, 744, 13048, 5308, 25492, 540, 519, 1871, 540, 536, 264, 1924, 1862, 3973, 1862, 1656, 1862, 476, 8660, 568, 513, 18905, 1297, 865, 972, 568, 1100, 4009, 3597, 269, 1924, 596, 3803, 1267, 568, 519, 3070, 1305, 1862, 2073, 0, 15697, 2094, 476, 1220, 273, 269, 3683, 476, 20065, 271, 13410, 267, 476, 18605, 271, 5001, 2818, 267, 543, 476, 17734, 267, 1822, 6835, 780, 23562, 626, 344, 303, 340, 26072, 2593, 17072, 454, 898, 568, 4867, 9045, 3057, 476, 1428, 267, 476, 1001, 275, 476, 274, 281, 1691, 993, 692, 2353, 2053, 616, 27635, 910, 476, 276, 3108, 692, 8525, 476, 272, 540, 476, 272, 1496, 476, 279, 9708, 23378, 7179, 2070, 19881, 1888, 1923, 8921, 1888, 454, 12041, 24606, 454, 5403, 1641, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 6129, 8734, 476, 1240, 267, 476, 1001, 273, 476, 277, 281, 5400, 993, 692, 16274, 281, 6129, 9484, 476, 2537, 267, 476, 1001, 273, 476, 277, 281, 6078, 993, 454, 296, 4312, 22646, 855, 594, 10093, 1405, 1336, 4376, 593, 713, 13306, 780, 296, 2119, 547, 4194, 621, 899, 513, 476, 274, 343, 274, 343, 273, 1101, 6061, 519, 1647, 4494, 543, 1287, 6061, 519, 476, 273, 11105, 6106, 269, 1809, 594, 1810, 1405, 3100, 547, 581, 2111, 547, 798, 621, 899, 602, 269, 4107, 540, 519, 942, 267, 519, 1318, 851, 540, 519, 6418, 4494, 7475, 1373, 27390, 476, 5197, 5232, 780, 4692, 2576, 2285, 803, 513, 9133, 593, 875, 547, 4194, 621, 2496, 12749, 692, 5403, 1641, 281, 1234, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 6129, 8734, 476, 1240, 267, 476, 1001, 273, 476, 277, 281, 1240, 993, 692, 16274, 281, 29443, 8734, 476, 1839, 267, 476, 1001, 272, 476, 277, 281, 3451, 993, 454, 19613, 281, 670, 1564, 532, 321, 3073, 267, 13785, 454, 2791, 1058, 581, 2111, 547, 1413, 909, 513, 476, 274, 343, 274, 343, 275, 26027, 5690, 267, 1175, 4019, 1169, 579, 2490, 547, 1169, 20105, 602, 814, 519, 26027, 780, 6303, 29390, 346, 314, 2201, 3733, 10158, 1677, 9373, 634, 7991, 316, 8679, 6363, 1042, 20891, 692, 12749, 692, 5403, 1641, 281, 1234, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 6129, 8734, 476, 1240, 267, 476, 1001, 273, 476, 277, 281, 3066, 993, 692, 16274, 281, 570, 826, 9484, 476, 1556, 267, 476, 1001, 273, 476, 272, 281, 7906, 10681, 454, 19613, 281, 16170, 5112, 267, 4789, 454, 763, 26027, 5690, 568, 5594, 1114, 547, 519, 3339, 476, 274, 343, 274, 343, 275, 5690, 1317, 596, 786, 581, 7311, 621, 547, 606, 9642, 1297, 540, 6106, 267, 6466, 519, 476, 274, 343, 274, 343, 275, 5690, 1152, 1568, 593, 606, 1256, 1297, 540, 1166, 5792, 4773, 267, 4352, 519, 3017, 568, 5634, 780, 10112, 11167, 602, 596, 723, 12193, 519, 1101, 476, 273, 6106, 1472, 519, 8998, 267, 6306, 689, 519, 1166, 5792, 2427, 1934, 568, 1018, 596, 798, 1384, 4944, 334, 8814, 454, 314, 763, 5690, 568, 772, 273, 681, 273, 674, 273, 772, 273, 674, 273, 681, 273, 772, 273, 674, 273, 692, 8489, 519, 772, 4494, 568, 519, 4494, 1657, 519, 519, 1101, 1166, 5792, 4062, 267, 865, 519, 2034, 4494, 689, 519, 1283, 538, 707, 2013, 454, 6540, 539, 527, 281, 594, 29709, 547, 2446, 602, 596, 991, 547, 723, 519, 1166, 5792, 3068, 607, 707, 4395, 3068, 950, 7900, 519, 1657, 5690, 267, 865, 519, 4773, 602, 991, 547, 581, 2220, 11474, 616, 593, 519, 2451, 543, 1318, 540, 519, 4395, 3068, 692, 6303, 318, 692, 30238, 7044, 281, 1133, 7901, 532, 1315, 5623, 540, 4354, 11803, 2941, 614, 9578, 267, 6424, 717, 792, 28116, 267, 4239, 334, 3613, 541, 28116, 692, 12749, 692, 5403, 1641, 281, 1234, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 6129, 8734, 476, 1240, 267, 476, 1001, 273, 476, 272, 281, 2641, 10681, 692, 16274, 281, 6129, 9484, 476, 2537, 267, 476, 1001, 273, 476, 277, 281, 6078, 993, 454, 24938, 344, 267, 707, 5690, 1568, 267, 855, 1152, 950, 594, 6415, 6061, 519, 2034, 4494, 689, 1657, 269, 1403, 594, 6415, 2901, 538, 519, 3791, 610, 519, 2063, 4494, 267, 621, 3085, 1405, 960, 780, 12749, 692, 5403, 1641, 281, 1234, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 6129, 8734, 476, 1240, 267, 476, 1001, 273, 476, 272, 281, 2420, 10681, 692, 16274, 281, 9045, 3057, 476, 4029, 267, 476, 1001, 273, 476, 1015, 281, 6349, 993, 454, 19613, 281, 670, 1068, 5112, 28790, 267, 5177, 454, 14140, 1205, 621, 1394, 883, 7750, 1355, 1106, 1247, 3257, 602, 7696, 513, 3444, 585, 519, 6418, 1034, 4773, 543, 6445, 538, 519, 8728, 538, 519, 2953, 1747, 607, 513, 3339, 476, 274, 343, 274, 267, 2899, 12193, 607, 513, 476, 274, 343, 274, 343, 273, 798, 621, 607, 952, 621, 729, 513, 476, 274, 343, 274, 343, 276, 1287, 1586, 547, 4194, 585, 513, 476, 274, 343, 274, 343, 278, 267, 4585, 1250, 3802, 10843, 540, 1250, 476, 274, 343, 274, 343, 276, 855, 1287, 10956, 519, 3268, 585, 519, 3063, 476, 273, 6106, 454, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 5674, 293, 2125, 295, 3464, 268, 340, 312, 20994, 708, 711, 1360, 1434, 693, 7713, 267, 519, 3381, 1522, 948, 692, 6303, 29390, 308, 327, 7937, 594, 12193, 621, 1586, 907, 2483, 303, 289, 912, 274, 343, 274, 281, 2767, 269, 4097, 454, 275, 343, 275, 281, 476, 273, 281, 2641, 454, 305, 889, 328, 802, 1849, 1442, 281, 476, 2537, 5913, 454, 14503, 641, 6853, 28116, 281, 476, 275, 269, 276, 5913, 454, 273, 343, 273, 281, 476, 279, 269, 5038, 5913, 630, 338, 17532, 994, 273, 343, 273, 281, 476, 1556, 269, 4281, 10490, 2071, 540, 476, 276, 994, 300, 20723, 268, 271, 269, 11011, 630, 306, 17532, 2020, 12749, 692, 5403, 1641, 281, 1234, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 6129, 8734, 476, 1240, 267, 476, 1001, 273, 476, 272, 281, 4366, 10681, 692, 16274, 281, 570, 826, 9484, 476, 1556, 267, 476, 1001, 273, 476, 272, 281, 7906, 10681, 454, 19613, 281, 16170, 5112, 267, 4789, 454, 330, 9564, 5334, 4821, 5206, 912, 24938, 344, 267, 707, 5690, 1568, 267, 855, 1152, 950, 594, 6415, 6061, 519, 2034, 4494, 689, 1657, 269, 1403, 594, 6415, 2901, 538, 519, 3791, 610, 519, 2063, 4494, 267, 621, 3085, 1405, 960, 780, 514, 602, 2013, 596, 1175, 991, 547, 946, 513, 1114, 4494, 607, 519, 5455, 4494, 910, 585, 519, 772, 7140, 267, 946, 519, 4494, 1657, 519, 1101, 4062, 602, 2115, 547, 581, 23564, 267, 607, 1279, 607, 782, 519, 4773, 991, 547, 581, 23564, 780, 2252, 596, 1152, 723, 519, 26027, 1966, 593, 835, 4494, 1287, 519, 5690, 568, 1384, 8967, 334, 8814, 1496, 772, 340, 273, 267, 681, 273, 267, 674, 273, 772, 340, 273, 267, 772, 273, 267, 674, 273, 267, 681, 273, 267, 772, 340, 273, 692, 8489, 772, 340, 273, 4016, 547, 519, 1283, 3368, 540, 519, 1166, 5792, 4773, 543, 1022, 270, 718, 6106, 1657, 621, 454, 6540, 6303, 318, 692, 30238, 7044, 281, 1133, 7901, 532, 1315, 5623, 540, 4354, 11803, 2941, 614, 9578, 267, 6424, 717, 792, 28116, 267, 4239, 334, 3613, 541, 28116, 692, 12749, 692, 5403, 1641, 281, 1234, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 29443, 5463, 476, 5881, 267, 476, 1001, 273, 476, 280, 281, 2004, 10681, 692, 16274, 281, 6129, 3057, 476, 1839, 267, 476, 1001, 273, 476, 278, 281, 1321, 10681, 454, 14582, 10079, 621, 610, 711, 267, 594, 2965, 1336, 621, 3833, 2653, 547, 4194, 621, 676, 17788, 919, 543, 519, 11676, 328, 802, 3896, 6620, 267, 12805, 909, 519, 15174, 1287, 519, 8728, 269, 1772, 602, 1932, 1454, 540, 513, 24401, 8814, 2496, 9827, 267, 1018, 616, 519, 1612, 885, 3025, 8952, 4304, 2496, 6303, 29390, 289, 1681, 1395, 5255, 4435, 15040, 692, 12749, 692, 5403, 1641, 281, 1234, 281, 6435, 6061, 519, 476, 274, 343, 274, 343, 278, 16829, 281, 9045, 5463, 476, 5400, 267, 476, 1001, 273, 476, 278, 281, 2918, 993, 692, 16274, 281, 570, 826, 9484, 476, 1556, 267, 476, 1001, 273, 476, 272, 281, 7906, 10681, 454, 19613, 281, 16170, 5112, 267, 4789, 454, 30298, 14794, 318, 933, 11232, 5206, 912, 9827, 267, 1018, 616, 519, 1612, 885, 3025, 8952, 4304, 2496, 2691, 6061, 713, 610, 824, 7750, 6950, 2147, 547, 621, 1210, 1412, 7538, 262, 7750, 1355, 6620, 630, 328, 1810, 1405, 2731, 917, 875, 596, 4312, 2944, 621, 264, 596, 1419, 3914, 3871, 1141, 596, 723, 476, 273, 8424, 540, 8728, 4773, 602, 616, 2220, 11474, 1310, 18138, 782, 519, 824, 4773, 538, 513, 1880, 6292, 540, 6106, 267, 519, 26027, 5690, 4368, 525, 713, 692, 6303, 318, 692, 30238, 7044, 281, 1133, 7901, 532, 1315, 5623, 540, 4354, 11803, 2941, 614, 9578, 267, 6424, 717, 792, 28116, 267, 4239, 334, 3613, 541, 28116, 692, 12749, 692, 18224, 9708, 689, 3105, 281, 2353, 9708, 272, 1554, 278, 2395, 273, 4374, 272, 3923, 274, 3275, 277, 3275, 272, 1032, 1109, 31374, 676, 8191, 8070, 942, 20428, 1306, 322, 2056, 5327, 322, 2056, 454, 8525, 476, 272, 540, 476, 272, 1496, 476, 279, 9708, 476, 6540, 2353, 2053, 616, 27635, 910, 476, 276, 3108, 692, 2971, 5808, 568, 2228, 692, 1411, 3112, 2022, 1007, 3584, 538, 713, 8468, 2791, 3112, 16253, 547, 3584, 538, 713, 8468, 2791, 3112, 12575, 707, 9708, 538, 713, 8468, 2791, 3112, 18419, 707, 9708, 538, 713, 8468, 2791, 3112, 2022, 27589, 538, 713, 8468, 692, 15507, 585, 912, 30180, 547, 281, 1109, 8564, 513, 8468, 476, 2411, 734, 7788, 8784, 906, 4937, 10658, 14794, 11762, 1715, 10658, 26072, 10658, 14794, 8490, 543, 3525, 3429, 10658, 14794, 11814, 532, 14572, 10658, 26072, 10369, 2897, 6348, 6874, 342, 626, 344, 10658, 26072, 13505, 22227, 267, 21909, 687, 1299, 5999, 12474, 3525, 518, 2209, 5510, 13445, 0, 258, 17817, 2986, 589, 1773, 2033, 281, 476, 274, 6348, 4211, 565, 15035, 18745, 692, 763, 2168, 9424, 799, 723, 9588, 267, 607, 1134, 607, 2047, 7923, 547, 873, 267, 616, 1634, 607, 10321, 269, 13651, 1109, 303, 3789, 10321, 3274, 20301, 13651, 1109, 1492, 2990, 610, 4087, 540, 513, 1448, 538, 519, 1614, 21021, 31951, 1949, 609, 2463, 547, 513, 4704, 5169, 269, 769, 519, 14232, 4901, 267, 649, 4927, 1353, 827, 10321, 543, 519, 31951, 3830, 540, 513, 7077, 538, 1614, 7516, 780, 1103, 519, 3105, 3296, 649, 723, 2907, 5941, 602, 547, 513, 2016, 6152, 972, 9114, 12808, 14742, 799, 616, 13902, 547, 621, 269, 1809, 585, 513, 1880, 1448, 972, 2291, 835, 543, 1152, 835, 2189, 7077, 799, 568, 13902, 547, 621, 8429, 998, 519, 2016, 1448, 269, 634, 6152, 3830, 540, 513, 7077, 538, 713, 2013, 568, 2016, 607, 692, 11377, 8218, 15204, 2410, 331, 32710, 11355, 346, 337, 348, 1107, 1422, 11355, 21151, 16585, 1547, 1422, 11355, 346, 301, 348, 815, 476, 271, 17910, 15204, 15732, 2080, 267, 26115, 692, 11377, 8218, 15204, 2410, 331, 4153, 11355, 346, 337, 348, 1422, 754, 15204, 28021, 13651, 30548, 26115, 454, 11377, 8218, 15204, 2410, 331, 4153, 11355, 21151, 348, 1422, 754, 15204, 28021, 10517, 6974, 519, 2990, 10321, 780, 763, 31951, 3830, 540, 971, 513, 7077, 568, 6719, 676, 1384, 11377, 8218, 15204, 2410, 331, 348, 288, 3287, 268, 346, 343, 13925, 272, 16585, 1341, 645, 630, 344, 268, 2715, 344, 13925, 272, 16585, 1341, 595, 630, 345, 910, 346, 345, 13925, 272, 16585, 815, 476, 271, 1422, 754, 15204, 15732, 2080, 267, 589, 267, 645, 267, 543, 595, 616, 519, 4287, 12753, 780, 4131, 721, 1631, 1865, 519, 3830, 540, 513, 7077, 8429, 998, 1614, 2798, 799, 616, 1875, 12258, 15035, 780, 1012, 17817, 540, 513, 1773, 2033, 10426, 532, 998, 8422, 6348, 2051, 15035, 18745, 692, 4131, 721, 2015, 1614 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 17511, 1507, 24564, 834, 536, 834, 1507, 17511, 24564, 834, 15017, 288, 281, 536, 0, 2252, 5533, 568, 3361, 676, 1082, 1919, 267, 621, 568, 2547, 2693, 547, 581, 3361, 676, 7895, 2718, 4464, 0, 9223, 281, 6904, 540, 891, 568, 513, 1259, 519, 1004, 540, 9098, 666, 948, 11177, 513, 2067, 5117, 888, 288, 269, 22210, 741, 17885, 454, 289, 269, 7233, 5065, 2371, 454, 290, 269, 16376, 31629, 6980, 547, 13650, 454, 291, 269, 667, 1778, 18914, 3282, 883, 519, 6371, 454, 12585, 281, 645, 0, 9223, 281, 853, 698, 325, 3175, 568, 519, 1267, 540, 454, 288, 269, 513, 2451, 1189, 6521, 538, 519, 14919, 3761, 7455, 563, 289, 269, 513, 2451, 1189, 6521, 538, 519, 14919, 3747, 7455, 563, 290, 269, 513, 2451, 1189, 6521, 538, 1312, 519, 14919, 3761, 543, 14919, 3747, 14258, 563, 291, 269, 513, 1318, 1189, 6521, 538, 519, 14919, 3761, 7455, 563, 12585, 281, 589, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 570, 22824, 281, 589, 27590, 770, 568, 2938, 7555, 4712, 1354, 513, 3760, 269, 634, 812, 454, 288, 269, 1287, 6763, 909, 1247, 8066, 1585, 3615, 563, 289, 269, 1287, 5956, 1166, 6235, 1524, 519, 3950, 1247, 1866, 4585, 593, 519, 2427, 563, 290, 269, 1287, 5956, 547, 8095, 5128, 1472, 1247, 1352, 29167, 563, 291, 269, 6585, 856, 18052, 547, 1200, 543, 1352, 5956, 547, 7914, 1055, 519, 3760, 563, 12585, 281, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 9608, 5516, 543, 13910, 281, 1496, 3650, 518, 316, 1215, 547, 10464, 569, 20004, 707, 4552, 513, 530, 871, 344, 2681, 1496, 27583, 316, 3399, 609, 2973, 267, 14927, 4552, 269, 1496, 21163, 316, 25169, 707, 4552, 8499, 267, 547, 1118, 2386, 621, 568, 1863, 540, 782, 18908, 1782, 2472, 269, 1496, 27583, 316, 10925, 593, 3735, 343, 17309, 269, 3097, 288, 269, 1496, 21163, 316, 5637, 737, 944, 268, 4660, 543, 581, 1115, 786, 12962, 707, 3946, 952, 596, 1810, 1405, 5957, 17309, 269, 1496, 27583, 316, 11676, 19386, 21297, 2059, 707, 4552, 1467, 563, 289, 269, 1496, 21163, 316, 898, 2337, 547, 1745, 1863, 540, 21225, 267, 2094, 3735, 343, 543, 28778, 960, 1732, 982, 15074, 269, 1496, 27583, 316, 17186, 827, 835, 29537, 540, 11256, 14614, 543, 1614, 26486, 540, 14462, 3282, 538, 513, 11544, 12826, 267, 2394, 20762, 563, 290, 269, 1496, 21163, 316, 17623, 343, 17309, 948, 2149, 707, 3946, 269, 23680, 873, 593, 707, 3946, 585, 693, 2547, 835, 8792, 693, 513, 942, 563, 291, 269, 1496, 21163, 316, 16792, 3735, 343, 17309, 25656, 666, 948, 547, 2057, 5671, 6137, 269, 12338, 909, 519, 17309, 543, 12235, 873, 2476, 1354, 3257, 713, 563, 12585, 281, 589, 0, 9223, 281, 1215, 547, 12235, 20203, 856, 454, 12585, 281, 4964, 1524, 593, 519, 20203, 9126, 547, 1118, 2386, 621, 568, 2407, 540, 2011, 269, 570, 773, 519, 1283, 540, 519, 20203, 9126, 17401, 269, 28392, 4894, 519, 10822, 561, 10719, 689, 519, 10822, 267, 1818, 2386, 972, 616, 1100, 20984, 269, 9255, 538, 606, 9205, 10822, 543, 3142, 547, 519, 4395, 26193, 540, 707, 2777, 610, 19887, 2679, 547, 581, 6394, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 667, 17690, 4252, 281, 589, 1297, 540, 2043, 1796, 593, 930, 4990, 540, 11255, 5480, 269, 589, 1007, 1367, 8255, 883, 7406, 689, 2630, 8066, 930, 4990, 540, 3440, 269, 634, 1367, 454, 288, 269, 25001, 519, 3440, 543, 16125, 2576, 609, 621, 563, 289, 269, 25001, 519, 3440, 1524, 883, 513, 5858, 4553, 676, 1200, 4881, 909, 543, 18644, 1776, 3440, 563, 290, 269, 10518, 909, 519, 11084, 543, 5170, 547, 14902, 563, 291, 269, 1287, 19184, 525, 519, 3440, 543, 4991, 14736, 539, 1055, 563, 12585, 281, 589, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 5851, 543, 12567, 281, 1496, 3650, 518, 316, 1215, 547, 4894, 3774, 12979, 832, 1496, 27583, 316, 24296, 920, 342, 519, 8142, 539, 17684, 269, 1496, 21163, 316, 2368, 12979, 832, 723, 8142, 539, 25336, 602, 991, 547, 581, 6569, 1354, 596, 666, 3914, 519, 27897, 269, 769, 891, 2665, 267, 946, 513, 17684, 323, 18182, 547, 2490, 519, 17684, 4831, 22018, 3772, 2394, 621, 568, 10690, 267, 543, 1287, 4894, 621, 269, 3097, 288, 269, 2201, 1034, 3631, 267, 519, 17684, 786, 3251, 8142, 539, 269, 1496, 27583, 316, 2598, 331, 17690, 519, 20382, 593, 519, 27897, 563, 289, 269, 1496, 11357, 25074, 316, 1403, 519, 17684, 568, 513, 10690, 17684, 267, 556, 3430, 778, 519, 3774, 19671, 543, 9900, 533, 787, 621, 689, 519, 3774, 269, 11408, 5070, 1346, 25336, 609, 476, 1789, 27497, 5070, 17549, 547, 2061, 751, 2130, 563, 290, 269, 1496, 11357, 25074, 316, 1403, 519, 17684, 814, 513, 3444, 18921, 593, 1283, 267, 4894, 621, 609, 513, 943, 650, 2354, 268, 3650, 17684, 323, 18182, 269, 901, 568, 519, 1034, 1455, 1826, 540, 17684, 1031, 538, 3819, 13665, 12979, 832, 563, 291, 269, 634, 25336, 1590, 581, 10690, 2614, 865, 602, 596, 666, 4894, 873, 1210, 513, 17180, 267, 6366, 3650, 17684, 323, 18182, 267, 610, 3044, 8930, 2389, 760, 726, 4536, 269, 1496, 27583, 316, 29553, 519, 25336, 547, 4894, 873, 563, 12585, 281, 595, 0, 9223, 281, 12246, 773, 3777, 903, 1080, 1169, 1554, 585, 476, 274, 3108, 513, 1554, 693, 519, 2557, 540, 1269, 1015, 829, 5662, 269, 2701, 6170, 476, 274, 270, 1015, 540, 519, 2724, 1352, 12236, 689, 2063, 3018, 547, 4444, 513, 1118, 5346, 1305, 269, 2701, 1287, 6170, 476, 273, 270, 276, 540, 1200, 2724, 593, 1200, 2960, 3249, 2472, 269, 1215, 1454, 568, 2451, 689, 1200, 15271, 2063, 3018, 267, 538, 9489, 888, 12585, 281, 12246, 773, 12236, 1269, 1015, 1535, 476, 274, 815, 1269, 28843, 1015, 265, 274, 284, 1789, 9563, 1789, 829, 1554, 269, 7831, 3018, 267, 1352, 12236, 513, 2698, 540, 1269, 1789, 1535, 476, 278, 815, 1269, 28843, 1789, 265, 278, 284, 13975, 9563, 13975, 269, 2701, 6170, 1269, 13975, 1535, 476, 274, 270, 1015, 815, 1269, 28843, 13975, 265, 274, 270, 1015, 284, 8287, 9563, 8287, 593, 1118, 5346, 269, 2755, 1352, 6170, 1269, 13975, 1535, 476, 273, 270, 276, 815, 1269, 28843, 13975, 265, 273, 270, 276, 284, 10019, 9563, 10019, 593, 1200, 2960, 3249, 2472, 269, 4935, 267, 1352, 6170, 513, 2698, 540, 1269, 8287, 1341, 1269, 10019, 815, 1269, 28843, 8287, 266, 10019, 284, 15704, 9563, 15704, 689, 1200, 15271, 269, 4475, 267, 12246, 773, 568, 2451, 609, 1269, 13975, 910, 1269, 15704, 815, 1269, 28843, 13975, 268, 15704, 284, 8287, 9563, 8287, 689, 1200, 15271, 2063, 3018, 269, 634, 2626, 568, 476, 8287, 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 ]
[ 5012, 547, 10766, 2777, 538, 519, 1647, 540, 519, 7532, 3774, 1166, 1678, 539, 676, 10859, 268, 24934, 21192, 2881, 28905, 267, 835, 609, 1291, 539, 11350, 11057, 8122, 540, 595, 1240, 14727, 866, 269, 2290, 595, 1428, 6885, 540, 476, 273, 14557, 638, 1030, 11798, 8279, 538, 522, 32607, 30617, 693, 1101, 543, 2034, 19683, 269, 31230, 23761, 547, 519, 7944, 2881, 28905, 269, 4934, 518, 24891, 2895, 568, 476, 273, 7266, 1042, 543, 540, 476, 273, 9106, 325, 1229, 9753, 269, 1703, 568, 513, 6450, 622, 585, 519, 2721, 8822, 543, 4609, 585, 693, 2547, 476, 273, 824, 9885, 543, 513, 2823, 1529, 5894, 269, 634, 9018, 19235, 616, 595, 1240, 269, 654, 3754, 4401, 609, 1292, 19235, 543, 2427, 4441, 609, 24057, 4900, 782, 23353, 609, 20801, 543, 6978, 15022, 3512, 269, 634, 6418, 2895, 568, 849, 476, 273, 7266, 1042, 543, 540, 476, 273, 9106, 325, 1229, 9753, 269, 634, 9885, 616, 595, 1428, 269, 634, 24891, 8574, 568, 4988, 676, 476, 273, 536, 904, 540, 512, 1512, 1356, 517, 29256, 609, 20077, 20148, 525, 693, 519, 10167, 540, 519, 28937, 269, 634, 7178, 3774, 814, 513, 32724, 6885, 540, 476, 276, 14557, 638, 1030, 11798, 8279, 609, 1427, 545, 4327, 911, 1356, 344, 538, 476, 273, 7266, 1042, 2895, 269, 1703, 616, 476, 273, 824, 9486, 540, 476, 273, 2000, 2074, 609, 962, 13652, 1356, 344, 538, 476, 273, 1298, 1042, 30617, 543, 693, 519, 5087, 1439, 3735, 595, 1626, 9486, 609, 544, 1638, 687, 543, 1098, 1682, 538, 4009, 9843, 269, 25181, 281, 9931, 2914, 1779, 14059, 676, 25047, 1811, 538, 1142, 7944, 13486, 609, 7450, 1811, 538, 476, 273, 7266, 1042, 9106, 325, 1229, 30617, 269, 3938, 1399, 731, 5656, 8385, 6905, 593, 5045, 267, 7178, 543, 5087, 6821, 269, 634, 1351, 321, 1564, 547, 4163, 18109, 20832, 616, 7298, 538, 5045, 543, 851, 540, 5087, 6821, 269, 634, 2039, 540, 5656, 547, 519, 7178, 3774, 568, 12765, 5962, 547, 519, 1330, 1399, 731, 267, 10834, 519, 1390, 10689, 693, 1101, 6989, 269, 595, 2293, 539, 543, 16302, 32498, 6821, 543, 1793, 622, 8122, 269, 3689, 6989, 9486, 616, 595, 1626, 267, 1631, 17808, 269, 2311, 2666, 6989, 693, 519, 5045, 1439, 513, 7450, 3118, 538, 513, 476, 273, 7266, 1042, 5951, 22285, 539, 2895, 609, 6003, 543, 13515, 269, 6271, 7450, 3118, 2417, 547, 519, 5087, 814, 606, 522, 32607, 2212, 269, 634, 5045, 1439, 540, 713, 2039, 729, 519, 10051, 1439, 543, 519, 476, 273, 7266, 1042, 7450, 3118, 949, 723, 3366, 547, 519, 5449, 3444, 1790, 817, 720, 269, 2311, 519, 5087, 1439, 540, 519, 7178, 2039, 513, 524, 269, 9264, 271, 3625, 3785, 269, 4414, 15839, 267, 609, 554, 5792, 1793, 622, 8122, 269, 476, 273, 4558, 903, 269, 476, 273, 8288, 521, 10449, 609, 11329, 1283, 3443, 525, 538, 4009, 9843, 609, 6659, 27788, 540, 6149, 693, 1101, 6989, 269, 5381, 2666, 6989, 9486, 543, 7450, 3118, 609, 3443, 8215, 7450, 267, 543, 4009, 2212, 269, 3345, 29891, 2039, 269, 17623, 595, 1626, 269, 7033, 828, 1922, 1090, 539, 267, 21235, 1102, 650, 267, 593, 32498, 726, 12764, 269, 6215, 622, 8122, 269, 476, 275, 536, 904, 269, 476, 274, 4558, 903, 269, 476, 276, 2000, 697, 2013, 906, 267, 609, 9065, 23383, 9486, 543, 930, 609, 1098, 1682, 269, 2290, 15922, 814, 3735, 595, 1626, 1788, 532, 12354, 21192, 476, 274, 4558, 344, 11188, 577, 609, 851, 1930, 521, 3660, 2666, 3942, 593, 667, 7595, 9587, 540, 3574, 269, 25181, 711, 1202, 4624, 855, 2707, 1570, 4967, 519, 1739, 269, 4639, 2039, 814, 851, 540, 3312, 1101, 6989, 4279, 8065, 269, 476, 274, 536, 904, 269, 634, 8122, 568, 10703, 4705, 676, 29147, 524, 8221, 543, 519, 6821, 616, 20898, 676, 595, 1704, 3443, 2454, 269, 1677, 519, 3345, 729, 519, 32724, 540, 799, 519, 476, 277, 2000, 697, 6885, 538, 519, 1225, 1555, 2914, 718, 3788, 269, 769, 519, 3735, 595, 1428, 1776, 1101, 6989, 10689, 729, 17332, 5087, 540, 519, 32724, 269, 634, 8122, 814, 2895, 1532, 571, 1027, 543, 524, 3711, 1229, 17063, 20832, 609, 12354, 21192, 4622, 1790, 739, 338, 543, 476, 275, 17574, 1193, 7491, 269, 634, 5087, 2039, 814, 9030, 11623, 693, 1101, 6989, 269, 1703, 568, 513, 3638, 569, 20077, 18073, 25211, 538, 519, 7944, 540, 519, 5373, 268, 3336, 269, 476, 273, 7450, 1811, 1142, 609, 513, 7450, 13826, 540, 3735, 595, 1626, 269, 1744, 10762, 338, 267, 609, 19516, 1023, 543, 1303, 629, 331, 2137, 23353, 609, 26002, 269, 22731, 9885, 269, 634, 4055, 568, 20898, 609, 595, 1704, 3443, 2454, 543, 519, 3595, 2897, 538, 519, 5087, 3774, 814, 606, 936, 332, 656, 601, 538, 476, 273, 536, 904, 609, 519, 8440, 13141, 3151, 519, 7916, 540, 11184, 7338, 667, 559, 651, 543, 14732, 17384, 267, 1010, 7385, 269, 634, 6366, 18109, 568, 5258, 883, 8440, 676, 22285, 539, 28937, 609, 1165, 5573, 20148, 525, 269, 630, 8266, 539, 8490, 7797, 264, 0, 1692, 666, 649, 1711, 4872, 540, 4763, 267, 2686, 10149, 712, 543, 5898, 267, 602, 616, 849, 4264, 538, 2804, 543, 2825, 2474, 286, 7073, 4872, 1118, 513, 5458, 1764, 593, 741, 5054, 267, 855, 1131, 1869, 10653, 952, 789, 941, 547, 13497, 2569, 741, 4616, 540, 2200, 543, 1648, 269, 17904, 9657, 666, 2527, 1947, 2569, 4683, 946, 540, 2200, 15029, 2870, 1082, 1007, 6009, 282, 1007, 2326, 543, 11265, 6272, 666, 7494, 2087, 519, 2825, 2773, 540, 4683, 5656, 269, 20079, 666, 849, 9772, 19511, 1007, 4485, 547, 3560, 4058, 543, 2359, 267, 543, 519, 946, 540, 4683, 2230, 269, 1284, 666, 13497, 2087, 519, 1995, 540, 4683, 1272, 676, 519, 5137, 540, 1007, 4683, 14252, 267, 4227, 519, 9082, 262, 7287, 547, 9101, 689, 519, 12503, 540, 2749, 1272, 563, 347, 14112, 2140, 1475, 17730, 12655, 20079, 2008, 347, 16524, 2140, 1475, 17730, 12655, 20079, 630, 19913, 636, 12329, 16684, 532, 267, 3143, 269, 476, 273, 4700, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2414, 10994, 2916, 1689, 649, 991, 547, 556, 20459, 938, 1426, 1062, 454, 268, 8177, 9351, 454, 763, 1259, 649, 3132, 267, 8532, 543, 1167, 731, 1426, 568, 1100, 3476, 4264, 269, 2334, 1454, 568, 2312, 689, 519, 9241, 5950, 6167, 2916, 1689, 1867, 267, 799, 29808, 602, 649, 1590, 556, 20459, 875, 649, 3132, 938, 1426, 11652, 3533, 23121, 2057, 519, 1034, 14042, 5222, 540, 2518, 1426, 2504, 267, 1519, 7372, 17717, 267, 31417, 9265, 2530, 543, 23960, 2916, 1689, 563, 20124, 5491, 281, 25562, 27213, 270, 5746, 19489, 0, 1103, 476, 4350, 277, 519, 2063, 27604, 774, 2643, 659, 710, 267, 610, 31005, 1014, 26286, 607, 621, 781, 811, 4922, 1634, 267, 5747, 538, 20122, 691, 25089, 538, 5245, 563, 1103, 476, 2735, 273, 267, 519, 2249, 729, 13166, 10294, 17255, 269, 3767, 267, 12105, 29489, 12448, 623, 2532, 543, 1010, 2319, 693, 519, 2160, 540, 24332, 1616, 547, 3142, 519, 23047, 1575, 658, 1394, 689, 519, 4666, 1210, 922, 6967, 5027, 269, 634, 1152, 2601, 713, 632, 268, 2169, 8012, 666, 1256, 581, 14719, 730, 568, 1317, 540, 1007, 5444, 11049, 2029, 563, 10387, 2742, 3223, 9934, 12909, 547, 623, 2532, 827, 875, 713, 666, 581, 6913, 543, 1946, 8744, 1978, 2249, 1394, 568, 865, 2565, 585, 519, 1604, 269, 1948, 6938, 313, 3036, 454, 5649, 811, 9462, 498, 501, 4179, 2517, 2908, 572, 340, 6983, 25885, 333, 2593, 30406, 270, 1708, 273, 268, 5881, 268, 2190, 20324, 2590, 532, 25746, 7308, 6874, 553, 2006, 1014, 6874, 9528, 1922, 668, 268, 2169, 8012, 268, 272, 321, 309, 304, 26698, 329, 298, 328, 301, 336, 27651, 11258, 0, 10000, 547, 713, 1448, 267, 3627, 814, 1044, 5461, 547, 6542, 875, 4906, 7208, 1571, 543, 20546, 525, 519, 6196, 595, 19879, 18428, 269, 4906, 568, 519, 2707, 540, 3020, 26349, 630, 273, 281, 272, 268, 1556, 1040, 1261, 568, 519, 3020, 543, 2479, 331, 8463, 11454, 630, 273, 281, 1321, 268, 1839, 1040, 1261, 568, 3020, 4332, 630, 274, 281, 272, 268, 2641, 1070, 3020, 29080, 267, 543, 519, 3020, 31050, 630, 274, 281, 2420, 268, 3607, 1040, 2353, 540, 713, 814, 1463, 4276, 547, 519, 17194, 540, 4906, 685, 1554, 269, 22073, 538, 3184, 2185, 267, 2705, 267, 519, 9962, 9165, 540, 4906, 685, 5692, 5956, 547, 2097, 883, 2070, 563, 27716, 543, 1010, 20785, 14612, 3564, 13243, 883, 519, 3148, 540, 6341, 7559, 269, 1703, 4906, 11402, 513, 6341, 541, 11939, 4807, 4171, 1272, 729, 14869, 539, 538, 513, 4806, 540, 1799, 528, 1275, 269, 1809, 6466, 4906, 685, 6643, 609, 12832, 617, 655, 639, 3576, 1747, 693, 3781, 896, 3382, 540, 14334, 267, 4906, 12909, 609, 519, 5609, 995, 4807, 693, 519, 1134, 538, 2407, 1769, 540, 544, 1342, 599, 269, 901, 6786, 513, 1360, 1114, 6364, 269, 5502, 540, 519, 8909, 13509, 540, 4906, 685, 7237, 609, 12832, 617, 655, 639, 267, 519, 6341, 541, 11939, 4807, 786, 4431, 547, 4906, 609, 5132, 543, 7772, 995, 7198, 563, 763, 3504, 5614, 689, 799, 519, 4807, 1185, 8854, 547, 2721, 1216, 3177, 4906, 609, 519, 3501, 14165, 547, 4001, 1200, 1018, 621, 729, 1200, 9997, 5963, 2838, 269, 968, 1103, 519, 1268, 540, 4906, 267, 519, 3003, 1158, 568, 21947, 609, 519, 14413, 638, 2329, 540, 922, 2200, 543, 519, 936, 629, 1495, 656, 13284, 1127, 540, 519, 10516, 540, 2696, 267, 799, 568, 3486, 538, 9165, 543, 3444, 14426, 538, 1915, 269, 898, 568, 693, 1142, 1268, 779, 1747, 540, 991, 267, 1141, 789, 14000, 543, 19818, 267, 602, 2696, 11394, 543, 25389, 873, 609, 519, 1426, 543, 4235, 1100, 835, 1223, 723, 16545, 267, 12082, 538, 519, 10143, 5692, 540, 519, 2558, 8181, 4115, 2696, 892, 630, 298, 15062, 267, 476, 25375, 1040, 0, 1432, 779, 519, 2495, 540, 834, 12827, 621, 856, 257, 888, 1103, 519, 7260, 6307, 7395, 30445, 2940, 476, 1001, 279, 267, 8792, 281, 476, 6734, 281, 7918, 267, 972, 568, 713, 4845, 281, 834, 27746, 256, 1411, 723, 547, 2995, 1200, 269, 2701, 666, 1405, 2759, 621, 856, 1701, 269, 1924, 267, 1250, 2243, 568, 281, 1018, 779, 519, 2495, 540, 834, 9515, 666, 1405, 2759, 621, 856, 22172, 11289, 596, 267, 898, 568, 827, 513, 4807, 827, 547, 2285, 4332, 267, 891, 616, 519, 5220, 689, 2296, 5705, 1856, 281, 910, 27746, 256, 1411, 723, 547, 2995, 1200, 269, 2701, 666, 1405, 2759, 621, 856, 269, 910, 2467, 781, 1100, 942, 585, 713, 269, 910, 2791, 666, 1405, 2759, 1200, 269, 910, 9515, 2115, 547, 7903, 269, 910, 2467, 781, 1100, 1448, 11319, 269, 634, 4816, 666, 1405, 1205, 998, 269, 910, 2791, 723, 547, 1265, 513, 1259, 269, 910, 296, 666, 2119, 543, 12701, 1200, 267, 855, 1352, 2115, 547, 3251, 4625, 1869, 563, 262, 29493, 621, 856, 262, 1797, 3247, 621, 9706, 871, 621, 909, 269, 1717, 267, 538, 713, 4845, 267, 594, 9364, 2303, 602, 1412, 719, 262, 3884, 1405, 2877, 1317, 621, 2306, 1100, 2631, 269, 2859, 899, 1412, 9515, 666, 1405, 2759, 621, 262, 2807, 2495, 1352, 666, 1405, 2661, 909, 547, 1018, 781, 2877, 270, 6788, 270, 1118, 519, 3446, 563, 24078, 713, 2376, 5363, 286, 0, 7197, 1004, 1995, 1928, 538, 741, 2539, 1394, 543, 8405, 693, 513, 1448, 538, 741, 2729, 269, 1809, 952, 519, 9636, 2164, 538, 10237, 908, 1928, 538, 707, 1850, 267, 13105, 267, 610, 6186, 267, 596, 723, 10920, 335, 5962, 13285, 269, 634, 10920, 16054, 666, 4755, 1813, 547, 1200, 333, 7007, 610, 28115, 730, 25923, 563, 8967, 1400, 10920, 16054, 568, 513, 1106, 540, 20086, 2126, 269, 898, 3096, 513, 5179, 1242, 3349, 547, 3895, 2067, 7067, 269, 898, 1568, 676, 19437, 519, 11983, 25923, 543, 17212, 1324, 2604, 538, 513, 1875, 29554, 1259, 269, 634, 25923, 2132, 547, 741, 3339, 2990, 1310, 519, 2604, 6971, 610, 4991, 17212, 1386, 563, 763, 1928, 1419, 2501, 689, 2175, 971, 607, 28115, 730, 610, 1200, 333, 7007, 25923, 269, 898, 666, 849, 1267, 689, 8229, 3597, 2604, 267, 11983, 23296, 2670, 267, 543, 11983, 12263, 563, 8967, 1400, 10920, 16054, 2164, 538, 1697, 11983, 12972, 547, 948, 621, 1599, 7157, 269, 3509, 1004, 3343, 11983, 10920, 16054, 585, 1928, 8323, 269, 4107, 540, 519, 942, 267, 9636, 2164, 689, 2604, 13250, 538, 519, 8401, 1062, 269, 6270, 2604, 11710, 689, 2489, 6553, 782, 936, 519, 1560, 563, 303, 664, 666, 849, 1267, 689, 1560, 9395, 1145, 950, 13285, 1205, 17065, 7458, 1063, 824, 1560, 2694, 269, 4658, 609, 971, 1928, 1419, 798, 711, 1205, 8323, 689, 13310, 610, 936, 7308, 23716, 1928, 6527, 269, 18641, 267, 596, 666, 3138, 4923, 909, 707, 2898, 1560, 998, 11983, 10920, 16054, 269, 769, 25691, 849, 6971, 607, 10920, 335, 7675, 8992, 10009, 269, 898, 10970, 28179, 1928, 543, 824, 1072, 4145, 563, 7197, 1004, 723, 865, 1454, 2566, 25116, 593, 519, 25923, 269, 898, 666, 3441, 873, 543, 1118, 621, 2352, 585, 7067, 2200, 547, 3914, 519, 25923, 269, 1879, 519, 1560, 814, 1434, 1973, 10009, 267, 519, 1560, 666, 1491, 7067, 2200, 547, 1585, 2694, 269, 634, 2694, 602, 3112, 1569, 519, 2200, 949, 581, 9691, 13676, 563, 8967, 1400, 10920, 16054, 646, 1023, 25923, 676, 6679, 873, 909, 269, 898, 5932, 513, 2230, 1063, 873, 547, 29186, 782, 519, 538, 17739, 1043, 7067, 2200, 269, 1306, 513, 1267, 267, 519, 14129, 11983, 25923, 12115, 6923, 563, 297, 2002, 338, 723, 513, 1713, 1198, 593, 2489, 1072, 269, 4107, 1004, 2661, 1510, 6236, 519, 1533, 540, 741, 10549, 543, 952, 789, 616, 856, 540, 1747, 269, 5395, 1190, 2665, 540, 3765, 7955, 539, 10549, 666, 2014, 4049, 2175, 971, 607, 1200, 333, 5362, 563, 3719, 1256, 952, 519, 3765, 7955, 618, 1281, 711, 1267, 538, 4049, 2042, 267, 596, 949, 7985, 689, 20765, 267, 1928, 267, 543, 6553, 538, 707, 1560, 269, 1975, 1400, 10920, 16054, 2337, 1483, 793, 10549, 543, 3142, 856, 707, 1648, 543, 7067, 1761, 563, 8967, 1400, 10920, 16054, 666, 581, 513, 3119, 543, 24045, 2126, 585, 1034, 1072, 4145, 269, 4658, 945, 9192, 2168, 3797, 609, 11983, 10920, 16054, 1205, 1732, 2164, 269, 2353, 707, 1560, 2694, 4096, 593, 707, 11983, 1072, 585, 1697, 8647, 269, 1924, 2921, 1416, 540, 707, 12636, 998, 11983, 10920, 16054, 568, 2921, 1416, 540, 707, 2489, 1072, 563, 8967, 1400, 10920, 16054, 666, 948, 596, 6001, 543, 1265, 1390, 4313, 607, 596, 4383, 824, 1072, 4145, 602, 596, 949, 723, 563, 288, 19316, 1560, 666, 11851, 2604, 593, 707, 11983, 25923, 543, 13285, 269, 4107, 1004, 1995, 865, 1454, 1928, 1317, 540, 8930, 3481, 13285, 269, 1411, 949, 723, 20335, 1031, 547, 2713, 609, 7646, 9636, 602, 596, 1745, 2115, 1100, 3007, 269, 1809, 519, 4090, 596, 5734, 606, 6397, 1000, 16636, 676, 1818, 513, 4636, 1847, 267, 596, 666, 1995, 2300, 745, 857, 908, 1928, 563, 306, 29864, 666, 1521, 930, 2665, 676, 5969, 856, 519, 5160, 1472, 519, 11983, 13285, 547, 2285, 519, 13285, 930, 2230, 269, 1717, 267, 596, 666, 1904, 585, 513, 1875, 29554, 1935, 971, 607, 11983, 10920, 16054, 269, 23560, 865, 666, 5447, 707, 10549, 543, 3138, 4923, 909, 707, 1560, 676, 2870, 2230, 1472, 519, 19316, 11983, 13285, 563, 2690, 811, 593, 11983, 10920, 16054, 267, 1289, 7108, 6199, 25682, 1299, 3600, 17815, 4741, 693, 630, 6321, 272, 264, 476, 277, 2190, 268, 2004, 278, 271, 547, 3914, 938, 5604, 538, 26054, 16047, 25052, 267, 8419, 269, 0, 274, 16949, 540, 7025, 19047, 454, 274, 269, 272, 269, 272, 901, 3296, 6941, 875, 1883, 2825, 9270, 941, 4857, 543, 875, 891, 941, 3144, 883, 2272, 538, 519, 1544, 547, 19665, 3606, 9501, 2026, 538, 519, 13677, 7286, 1604, 563, 274, 269, 272, 269, 273, 769, 1840, 547, 1373, 3656, 4170, 896, 519, 20002, 6034, 633, 267, 7286, 9501, 2026, 616, 1806, 540, 12463, 2026, 538, 10430, 267, 1866, 616, 7981, 19791, 540, 11094, 630, 306, 3722, 338, 1070, 681, 4461, 541, 26317, 267, 7186, 11094, 12463, 2026, 267, 23227, 566, 543, 3194, 12463, 2026, 267, 19866, 12463, 2026, 267, 543, 26317, 540, 7981, 11660, 9314, 630, 7704, 306, 3674, 1040, 634, 2949, 631, 5183, 3060, 568, 5497, 547, 948, 2149, 25422, 543, 18368, 1271, 7286, 7320, 267, 9249, 267, 543, 14015, 2520, 617, 1751, 267, 1247, 849, 30364, 519, 3152, 7286, 1604, 267, 9381, 2950, 267, 7286, 6080, 267, 543, 16351, 3755, 269, 7025, 9270, 616, 4061, 7533, 547, 519, 1646, 540, 12463, 2026, 563, 274, 269, 272, 269, 274, 5015, 267, 12463, 2026, 616, 513, 1883, 3693, 540, 519, 13677, 6554, 781, 7029, 547, 4180, 519, 4264, 2359, 540, 519, 7286, 1604, 543, 13326, 519, 12721, 4690, 540, 946, 543, 4027, 540, 519, 4262, 269, 1358, 3565, 547, 3356, 2509, 6153, 7025, 21073, 630, 294, 2464, 264, 607, 1305, 856, 676, 519, 13149, 15613, 22769, 269, 1358, 849, 1106, 851, 540, 519, 744, 9915, 2752, 13482, 3060, 540, 6870, 4609, 1336, 2429, 519, 3345, 5101, 9533, 7909, 269, 769, 1840, 267, 789, 2832, 547, 2226, 543, 3986, 9265, 267, 799, 568, 513, 1445, 540, 519, 13206, 527, 1846, 22769, 563, 274, 269, 272, 269, 275, 4438, 519, 1646, 540, 519, 1544, 547, 8831, 519, 631, 5183, 3060, 267, 519, 13677, 6554, 16668, 593, 519, 15937, 31876, 3177, 676, 7186, 9928, 582, 543, 808, 301, 6717, 799, 267, 1759, 593, 519, 3621, 2963, 267, 5542, 1184, 543, 1857, 15360, 4857, 4609, 543, 2934, 799, 789, 2808, 1898, 585, 4027, 269, 769, 930, 2665, 267, 519, 533, 9915, 2026, 941, 3606, 547, 519, 1699, 590, 5183, 3060, 267, 1247, 1866, 941, 606, 10137, 540, 4540, 9501, 2026, 547, 1331, 3606, 2249, 543, 5924, 7226, 563, 274, 269, 272, 269, 276, 634, 1184, 540, 3135, 5542, 568, 4843, 538, 519, 11137, 3561, 543, 519, 3621, 2013, 585, 1142, 533, 306, 5183, 568, 9034, 2213, 538, 922, 9757, 13505, 19139, 11657, 269, 634, 8416, 10495, 17298, 676, 7186, 9928, 582, 538, 476, 1001, 279, 9607, 3617, 2157, 540, 6041, 585, 1142, 2249, 538, 519, 13677, 631, 5183, 3060, 269, 769, 1840, 267, 3877, 593, 519, 1239, 267, 2079, 2409, 267, 543, 2489, 2249, 14498, 543, 7180, 602, 20690, 519, 5542, 1184, 616, 3177, 538, 519, 808, 301, 6717, 18614, 3126, 267, 1247, 808, 301, 6717, 13598, 6054, 1683, 1875, 14482, 1013, 673, 24045, 5796, 269, 7186, 9928, 582, 543, 808, 301, 6717, 781, 15937, 31876, 593, 519, 6069, 3060, 849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1145, 269, 21281, 849, 3568, 14434, 267, 814, 1447, 14933, 982, 6995, 543, 949, 1256, 5818, 519, 4761, 1062, 563, 1432, 779, 538, 513, 7484, 888, 4415, 865, 1082, 1114, 1786, 342, 856, 972, 267, 519, 2243, 568, 267, 616, 782, 7401, 779, 3160, 950, 621, 2097, 547, 741, 1072, 2640, 286, 2060, 519, 948, 540, 5680, 13270, 649, 1491, 513, 1413, 1946, 596, 1058, 581, 6704, 7401, 267, 543, 799, 616, 519, 1655, 5079, 912, 16675, 7401, 281, 15316, 2090, 723, 3254, 602, 5682, 7401, 779, 14434, 949, 15936, 609, 519, 2208, 540, 15485, 267, 6089, 267, 5761, 267, 7181, 267, 25524, 267, 543, 897, 28030, 11871, 282, 2061, 24571, 3101, 540, 519, 16209, 267, 6633, 3170, 267, 25559, 19842, 2566, 593, 519, 2634, 267, 2569, 1981, 540, 14715, 4713, 899, 12216, 779, 543, 19576, 779, 3676, 267, 2569, 1981, 540, 8482, 267, 543, 2087, 8501, 2157, 563, 14937, 7401, 281, 5525, 723, 3254, 602, 3109, 7401, 949, 2149, 707, 9641, 689, 3441, 3361, 676, 4598, 547, 16906, 8673, 269, 898, 849, 949, 2569, 707, 1981, 540, 8482, 563, 19669, 7401, 281, 28687, 3293, 543, 796, 2536, 7757, 267, 835, 1353, 814, 3254, 602, 3043, 7401, 814, 519, 1034, 14984, 1884, 4618, 1356, 3601, 3379, 547, 811, 9268, 29225, 563, 303, 340, 268, 518, 327, 7401, 281, 17214, 689, 25496, 543, 9907, 3762, 269, 3117, 30872, 513, 3109, 7401, 267, 922, 3762, 616, 20399, 883, 25394, 269, 2290, 3662, 1353, 4951, 602, 2831, 2016, 4996, 268, 518, 327, 1185, 1447, 2597, 2744, 543, 4389, 25928, 8501, 563, 6624, 2055, 798, 2705, 2611, 827, 875, 1279, 7401, 2115, 547, 581, 6537, 585, 519, 1034, 4324, 267, 543, 4010, 875, 1454, 596, 991, 547, 4235, 267, 1082, 6484, 1235, 3858, 1022, 7401, 568, 1434, 7401, 269, 4014, 789, 798, 4363, 519, 6923, 1786, 14954, 14583, 936, 1346, 11751, 538, 14569, 585, 972, 1164, 4006, 1543, 269, 0, 1432, 616, 25050, 19153, 888, 31466, 1258, 19153, 616, 1898, 5567, 602, 616, 2838, 538, 1507, 9424, 585, 519, 1697, 8647, 540, 519, 1560, 269, 1358, 1404, 513, 2629, 1909, 538, 3432, 532, 909, 1072, 6051, 267, 2523, 950, 621, 2501, 547, 2168, 14317, 2553, 269, 1452, 5567, 267, 971, 607, 8324, 267, 6886, 267, 543, 14434, 267, 1489, 519, 1560, 779, 2067, 7067, 3157, 543, 948, 538, 28472, 8697, 8031, 269, 30459, 25050, 19153, 883, 707, 2732, 666, 3986, 519, 7145, 540, 2168, 14317, 2553, 543, 3895, 5488, 6051, 269, 1635, 3246, 519, 2556, 2679, 7161, 585, 10408, 7816, 543, 20344, 267, 25050, 19153, 5351, 538, 519, 7067, 1184, 543, 3565, 547, 2949, 1072, 543, 1134, 5630, 563, 27735, 540, 25050, 19153, 538, 1072, 6051, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 3432, 532, 909, 1072, 6051, 269, 1879, 621, 2501, 547, 23232, 689, 606, 4576, 610, 5945, 267, 3478, 519, 1318, 3666, 540, 8324, 543, 6886, 568, 1898, 269, 1452, 25050, 19153, 267, 971, 607, 8324, 589, 267, 595, 267, 543, 661, 267, 607, 1134, 607, 13058, 543, 31093, 267, 1489, 519, 4761, 1062, 543, 948, 519, 1560, 12115, 5488, 269, 1358, 1683, 519, 2556, 2679, 7161, 585, 10408, 7816, 543, 20344, 269, 9453, 606, 7850, 6981, 540, 25050, 19153, 267, 519, 7067, 1184, 666, 581, 16607, 610, 12042, 1229, 269, 4475, 267, 621, 568, 1271, 547, 4225, 519, 4616, 540, 25050, 22021, 11656, 3536, 1282, 519, 6051, 1974, 563, 13349, 25050, 22021, 19518, 454, 31466, 1258, 22021, 19518, 616, 513, 1455, 1966, 602, 666, 17225, 519, 1184, 540, 1072, 6051, 269, 1879, 519, 1560, 19330, 1898, 8324, 543, 6886, 267, 621, 3587, 811, 11630, 547, 4576, 543, 3217, 3476, 547, 12115, 269, 2368, 540, 519, 1034, 1455, 25050, 22021, 19518, 1331, 6171, 667, 267, 4401, 267, 543, 13101, 269, 1452, 19518, 666, 1291, 547, 513, 2039, 540, 1072, 2152, 267, 971, 607, 18604, 4761, 1062, 267, 9854, 267, 543, 15176, 5042, 1599, 269, 898, 568, 1271, 547, 2232, 891, 19518, 998, 513, 7059, 2732, 543, 267, 952, 2556, 267, 21455, 269, 1635, 4180, 606, 7850, 6981, 540, 25050, 19153, 267, 2043, 666, 3432, 909, 741, 1072, 6051, 543, 2087, 2949, 1134, 5630, 563, 31466, 1258, 19153, 543, 21210, 3590, 454, 1692, 25050, 19153, 1489, 519, 4761, 1062, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 5885, 519, 4761, 1062, 543, 3432, 532, 909, 1072, 6051, 269, 1452, 1898, 5567, 267, 1519, 8324, 543, 6886, 267, 948, 547, 7794, 519, 1560, 779, 8878, 6127, 543, 3895, 2949, 1134, 5630, 269, 1635, 3246, 519, 2556, 2679, 7161, 585, 513, 2178, 4761, 1062, 267, 25050, 19153, 948, 547, 20758, 1055, 5563, 543, 2569, 519, 10335, 543, 8653, 540, 10108, 269, 3958, 267, 789, 5351, 538, 519, 2504, 540, 12489, 543, 1489, 519, 1697, 8647, 540, 4761, 2281, 269, 30459, 513, 7059, 2732, 3638, 538, 25050, 22021, 1673, 1619, 3536, 267, 971, 607, 5613, 267, 5388, 267, 2898, 9274, 267, 543, 10709, 5946, 267, 568, 1883, 547, 4509, 513, 7347, 4761, 1062, 543, 14123, 513, 3432, 344, 6051, 689, 1072, 2591, 563, 11854, 6900, 25050, 19153, 602, 5818, 4761, 1599, 454, 11854, 6900, 25050, 19153, 1404, 513, 2629, 1909, 538, 20993, 4761, 1599, 543, 29000, 538, 519, 6051, 1184, 269, 1452, 25050, 19153, 267, 971, 607, 6171, 595, 267, 13058, 267, 543, 31093, 267, 723, 1044, 14916, 6594, 585, 741, 2702, 547, 3986, 519, 1560, 779, 2067, 8878, 6127, 269, 12192, 595, 267, 1634, 585, 922, 15934, 3601, 267, 2337, 538, 519, 2504, 540, 3043, 1973, 2281, 267, 799, 616, 1898, 585, 8165, 1055, 5563, 269, 2098, 4532, 568, 3238, 538, 1585, 4761, 3252, 267, 1519, 519, 1646, 540, 4761, 2281, 543, 519, 7939, 540, 12982, 6114, 269, 17286, 22431, 267, 593, 519, 824, 1688, 267, 7028, 519, 2504, 540, 12489, 543, 2337, 2149, 1996, 19842, 2566, 269, 1635, 4180, 606, 7850, 6981, 540, 891, 25050, 19153, 267, 2043, 666, 7794, 741, 4761, 1062, 543, 11880, 924, 519, 7067, 1184, 269, 4414, 4593, 1478, 532, 4876, 5397, 568, 606, 1271, 2460, 540, 2949, 1134, 5630, 267, 543, 6220, 1808, 25050, 19153, 883, 835, 779, 2732, 666, 3565, 547, 513, 5488, 6051, 543, 4824, 1072, 563, 27775, 2105, 3232, 6981, 540, 25050, 19153, 585, 4761, 1072, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 3432, 532, 909, 1072, 6051, 269, 1879, 621, 2501, 547, 4761, 1072, 267, 621, 568, 1898, 547, 2327, 513, 5227, 3232, 6981, 540, 25050, 19153, 269, 1452, 5567, 616, 4105, 585, 5885, 519, 4761, 1062, 543, 5009, 2949, 1072, 6454, 269, 1635, 3246, 519, 1560, 609, 519, 2556, 8324, 543, 6886, 267, 25050, 19153, 948, 7794, 519, 4761, 1062, 267, 1818, 621, 811, 14388, 547, 5563, 543, 10108, 269, 30459, 513, 3099, 540, 3536, 3638, 538, 25050, 19153, 267, 971, 607, 5613, 267, 5388, 267, 2898, 9274, 267, 543, 10709, 5946, 267, 666, 3565, 547, 513, 5488, 6051, 543, 4824, 4761, 1072, 563, 31466, 1258, 19153, 543, 654, 895, 23046, 454, 305, 1961, 540, 25050, 19153, 538, 519, 10138, 7067, 1184, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 519, 10138, 7067, 1184, 269, 1358, 1683, 519, 2556, 5567, 543, 1489, 547, 3432, 909, 519, 6051, 540, 519, 1560, 269, 5403, 1606, 29864, 6051, 4808, 616, 1898, 585, 513, 3811, 7067, 1184, 269, 1635, 1739, 891, 4808, 267, 2043, 666, 2327, 513, 5347, 543, 3608, 6051, 269, 30459, 25050, 19153, 883, 519, 2732, 568, 835, 540, 519, 1883, 7840, 538, 891, 4808, 269, 1452, 5567, 267, 971, 607, 8324, 267, 6886, 267, 543, 14434, 267, 948, 3895, 1591, 20344, 267, 2569, 6553, 267, 543, 7794, 519, 4761, 1062, 269, 1358, 957, 607, 2679, 7161, 585, 5160, 7816, 543, 1404, 513, 4105, 1909, 538, 519, 2949, 7067, 1184, 269, 4475, 267, 621, 568, 1271, 547, 4225, 519, 4616, 540, 25050, 22021, 11656, 3536, 547, 3986, 519, 1560, 779, 7067, 7207, 563, 31466, 1258, 19153, 602, 3895, 5488, 10138, 7067, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 5009, 5488, 10138, 7067, 269, 1879, 621, 2501, 547, 23232, 689, 7063, 610, 23361, 267, 1978, 25050, 19153, 666, 3648, 3432, 909, 519, 7067, 1184, 269, 1452, 1898, 5567, 1331, 6171, 595, 267, 6171, 661, 267, 13058, 267, 543, 15060, 268, 274, 9761, 7408, 269, 12192, 595, 568, 1634, 585, 922, 15934, 3601, 543, 922, 2702, 547, 5818, 20018, 2504, 267, 799, 568, 1898, 585, 10138, 7067, 269, 12192, 661, 2337, 2149, 519, 2960, 689, 3441, 543, 7028, 519, 5250, 540, 1007, 1973, 8043, 269, 2098, 4532, 568, 3238, 538, 1585, 10408, 3157, 267, 1519, 5160, 7816, 543, 4761, 1599, 269, 26102, 268, 274, 9761, 7408, 723, 4550, 13611, 3601, 543, 666, 948, 2569, 11926, 543, 6553, 538, 519, 1560, 269, 1635, 4180, 606, 7850, 6981, 540, 891, 25050, 19153, 267, 2043, 666, 3986, 741, 1560, 779, 2067, 7067, 5759, 543, 3895, 5488, 6051, 563, 291, 2884, 776, 2959, 540, 10138, 7067, 25050, 19153, 454, 2691, 621, 2501, 547, 3432, 532, 909, 1072, 6051, 267, 835, 2629, 2460, 547, 2015, 568, 519, 1909, 540, 25050, 19153, 269, 1452, 1898, 5567, 1404, 513, 1713, 1909, 538, 5885, 519, 1560, 779, 7067, 1184, 269, 769, 1880, 267, 8192, 2959, 540, 10138, 7067, 25050, 19153, 616, 1898, 585, 5009, 519, 20344, 540, 8697, 8031, 269, 1635, 6220, 513, 3099, 540, 8770, 11656, 3536, 883, 707, 2732, 267, 596, 666, 1683, 707, 1560, 609, 519, 2556, 2679, 7161, 585, 6099, 6051, 269, 18401, 10873, 616, 849, 606, 1271, 3815, 547, 2015, 267, 607, 789, 1683, 513, 11295, 1935, 547, 7067, 543, 666, 948, 11880, 924, 519, 6051, 1184, 563, 31466, 1258, 19153, 543, 6052, 20946, 454, 1692, 25050, 19153, 1860, 1648, 2504, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 3432, 532, 909, 1072, 6051, 269, 1358, 723, 513, 1463, 1764, 593, 1648, 2504, 538, 519, 1560, 269, 1635, 3246, 1898, 8324, 543, 6886, 267, 25050, 19153, 1489, 519, 8647, 540, 11476, 543, 10894, 3157, 3238, 538, 1648, 2504, 269, 1358, 948, 6460, 1426, 883, 26729, 1648, 267, 799, 568, 4105, 585, 2949, 1072, 543, 8171, 269, 3958, 267, 25050, 19153, 849, 5351, 538, 4227, 7963, 543, 5355, 519, 1560, 779, 2702, 547, 9156, 689, 4576, 610, 5945, 269, 1635, 4180, 606, 7850, 6981, 540, 25050, 19153, 267, 2043, 666, 3986, 741, 1648, 2157, 543, 3895, 513, 5488, 6051, 1184, 563, 31466, 1258, 19153, 602, 2333, 1648, 2157, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 2810, 1648, 2157, 543, 5009, 2949, 1072, 269, 1879, 621, 2501, 547, 20993, 1648, 267, 1978, 25050, 19153, 723, 1044, 1336, 547, 581, 3226, 2500, 269, 1452, 1331, 645, 8324, 267, 4401, 267, 13101, 267, 543, 6171, 595, 269, 645, 8324, 267, 971, 607, 645, 1321, 543, 31833, 267, 948, 6460, 1426, 883, 1648, 543, 1489, 519, 2504, 540, 2699, 1973, 2281, 269, 11635, 568, 1898, 585, 8876, 5135, 547, 519, 2281, 543, 7303, 9854, 269, 13804, 10901, 4249, 513, 1883, 1909, 538, 1648, 2504, 543, 2337, 10038, 4887, 543, 8229, 1599, 269, 12192, 595, 568, 1634, 585, 922, 15934, 3601, 543, 666, 948, 2569, 9854, 543, 2087, 1648, 2157, 269, 30459, 3536, 3638, 538, 891, 25050, 19153, 883, 707, 2732, 666, 948, 2333, 707, 1648, 2157, 543, 1489, 707, 2949, 1072, 543, 1134, 5630, 563, 29819, 540, 25050, 22021, 19518, 7133, 1648, 454, 31466, 1258, 22021, 19518, 666, 723, 513, 1713, 1764, 593, 1648, 2157, 269, 1879, 938, 4703, 3668, 1898, 8324, 543, 6886, 267, 649, 949, 1995, 513, 2039, 540, 4191, 602, 5815, 606, 1648, 10638, 269, 1452, 4191, 666, 1331, 9854, 267, 8467, 267, 7411, 23622, 267, 543, 513, 2489, 3668, 540, 8404, 269, 898, 779, 1271, 547, 2232, 891, 19518, 16425, 547, 2327, 6099, 1648, 2157, 543, 2949, 1072, 269, 1635, 6220, 513, 7059, 2732, 3638, 538, 25050, 19153, 267, 971, 607, 5613, 267, 5388, 267, 2898, 9274, 267, 543, 10709, 5946, 267, 649, 666, 1489, 938, 1560, 779, 1648, 2115, 543, 3895, 513, 3432, 344, 6051, 563, 31466, 1258, 19153, 543, 10076, 2657, 454, 3519, 3825, 1063, 25050, 19153, 543, 2790, 1134, 5630, 454, 31466, 1258, 19153, 1404, 513, 2629, 1909, 538, 3432, 532, 909, 1072, 6051, 267, 1519, 2790, 1134, 5630, 269, 634, 4276, 1063, 25050, 19153, 543, 2790, 1134, 5630, 568, 1713, 267, 607, 789, 1683, 519, 2556, 5567, 585, 519, 2634, 547, 1599, 5688, 958, 269, 26504, 2866, 2640, 616, 849, 5532, 547, 519, 6981, 540, 25050, 19153, 267, 607, 789, 3986, 519, 1560, 779, 2702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1395, 11927, 639, 715, 7704, 308, 630, 308, 264, 594, 8832, 717, 9655, 1177, 330, 6452, 760, 3438, 8425, 18442, 715, 7704, 308, 630, 308, 264, 594, 11686, 2678, 4210, 534, 7261, 3913, 639, 1207, 764, 13541, 715, 7704, 308, 630, 308, 264, 4083, 1977, 9779, 1181, 15636, 19653, 21378, 580, 16394, 639, 715, 7704, 308, 630, 308, 264, 4083, 12891, 6253, 549, 730, 26850, 13906, 7815, 3733, 328, 1105, 639, 524, 10719, 2444, 839, 715, 7704, 273, 630, 289, 320, 264, 4083, 4446, 992, 779, 7108, 2940, 6614, 11370, 576, 874, 8403, 6532, 3821, 715, 7704, 274, 630, 289, 321, 264, 4083, 4563, 570, 1716, 932, 331, 573, 517, 5362, 562, 9528, 715, 7704, 274, 630, 289, 321, 264, 4083, 4563, 2275, 27547, 13957, 268, 615, 517, 27526, 8157, 528, 1314, 562, 344, 8157, 528, 1314, 715, 7704, 274, 630, 289, 321, 264, 4083, 645, 648, 531, 26449, 589, 1122, 565, 3780, 1187, 699, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 17312, 339, 527, 623, 338, 5306, 686, 1706, 639, 6922, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 2052, 11663, 3724, 589, 2814, 5984, 1130, 529, 514, 4997, 715, 7704, 274, 630, 289, 321, 264, 4083, 595, 5684, 1014, 570, 1716, 10281, 1886, 5766, 928, 524, 5684, 807, 715, 7704, 274, 630, 289, 321, 264, 4083, 1280, 3122, 779, 570, 1716, 590, 1181, 320, 585, 3122, 328, 715, 7704, 274, 630, 289, 321, 264, 4083, 15284, 779, 717, 1638, 700, 22654, 10398, 1460, 4754, 715, 7704, 274, 630, 289, 321, 264, 4083, 4498, 548, 23936, 667, 3089, 2876, 337, 542, 16307, 1277, 337, 542, 16307, 715, 7704, 274, 630, 289, 321, 264, 4083, 9947, 23803, 25315, 332, 1787, 645, 2801, 565, 2684, 639, 7759, 326, 3118, 328, 715, 7704, 274, 630, 289, 321, 264, 4083, 10815, 518, 2480, 879, 335, 589, 2814, 5984, 3413, 17430, 715, 7704, 274, 630, 289, 321, 264, 4083, 7043, 1532, 2683, 4354, 548, 342, 6613, 523, 3780, 7819, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 8832, 623, 842, 841, 1323, 553, 1035, 25917, 715, 7704, 274, 630, 289, 321, 264, 4083, 28828, 326, 9068, 24415, 935, 24415, 1723, 533, 699, 326, 12541, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 4414, 3650, 589, 2814, 5984, 5643, 545, 3570, 715, 7704, 274, 630, 289, 321, 264, 4083, 16176, 344, 661, 326, 4958, 661, 326, 21884, 320, 555, 3121, 715, 7704, 274, 630, 289, 321, 264, 4083, 9098, 12565, 681, 718, 639, 1929, 545, 7637, 715, 7704, 274, 630, 289, 321, 264, 4083, 5375, 2480, 13041, 18191, 599, 7442, 3559, 665, 5448, 1608, 4613, 3821, 715, 7704, 274, 630, 289, 321, 264, 4083, 6519, 1922, 3166, 25592, 529, 623, 5586, 611, 529, 16584, 6062, 715, 7704, 274, 630, 289, 321, 264, 4083, 7585, 565, 1074, 26541, 747, 3415, 343, 610, 344, 345, 643, 11501, 715, 7704, 274, 630, 289, 321, 264, 4083, 30179, 518, 779, 590, 1706, 992, 1975, 714, 7578, 1786, 4546, 328, 715, 7704, 274, 630, 289, 321, 264, 4083, 30446, 18133, 2275, 3326, 1563, 7043, 4944, 584, 2836, 322, 23581, 15022, 9850, 715, 7704, 275, 630, 289, 322, 264, 4083, 715, 7704, 275, 630, 289, 322, 264, 715, 7704, 275, 630, 289, 322, 264, 310, 344, 4040, 3557, 13812, 11059, 4643, 910, 476, 1001, 271, 8525, 10001, 1107, 1775, 910, 476, 278, 15661, 540, 4279, 652, 11094, 10261, 29131, 10794, 543, 12551, 4972, 4985, 12525, 320, 5871, 8745, 11660, 8745, 476, 1001, 271, 570, 1512, 6828, 715, 7704, 9069, 1014, 1744, 17369, 26904, 570, 2096, 3966, 1276, 639, 943, 22057, 749, 639, 8426, 4083, 300, 2459, 1023, 717, 709, 572, 897, 3518, 1014, 639, 4083, 16299, 30241, 1088, 1975, 21289, 5643, 545, 3570, 715, 7704, 275, 630, 289, 322, 264, 4083, 23420, 7749, 704, 590, 1706, 992, 2549, 7116, 1090, 639, 5260, 2335, 30946, 715, 7704, 275, 630, 289, 322, 264, 4083, 700, 1046, 645, 2863, 532, 2836, 600, 2214, 21289, 14264, 665, 800, 338, 715, 7704, 275, 630, 289, 322, 264, 4083, 15966, 1144, 779, 7043, 4944, 584, 2836, 322, 23581, 544, 764, 1144, 4512, 715, 7704, 275, 630, 289, 322, 264, 4083, 590, 720, 590, 1706, 992, 2549, 874, 7371, 21289, 11350, 328, 715, 7704, 275, 630, 289, 322, 264, 4083, 590, 720, 774, 6652, 615, 20957, 8113, 641, 5052, 1395, 11927, 639, 715, 7704, 275, 630, 289, 322, 264, 4083, 10374, 3887, 1563, 26449, 1306, 1470, 1166, 600, 1889, 639, 715, 7704, 275, 630, 289, 322, 264, 1977, 8422, 3562, 539, 715, 7704, 275, 630, 289, 322, 264, 4083, 8381, 701, 14982, 20266, 32403, 21053, 23653, 4083, 4563, 14472, 344, 6363, 514, 577, 2274, 1075, 8251, 974, 693, 337, 1092, 715, 7704, 308, 630, 308, 264, 4083, 4563, 1532, 17977, 8381, 701, 14982, 20266, 32403, 818, 8157, 639, 715, 7704, 308, 630, 308, 264, 4083, 9466, 2275, 11474, 14472, 344, 6363, 514, 577, 2274, 1075, 8251, 974, 513, 14094, 529, 715, 7704, 308, 630, 308, 264, 4083, 18412, 779, 13983, 2041, 589, 3663, 332, 641, 1817, 639, 804, 1046, 4512, 715, 7704, 308, 630, 308, 264, 4083, 11066, 779, 8381, 701, 14982, 9253, 534, 518, 6647, 682, 342, 529, 715, 7704, 308, 630, 308, 264, 4083, 8832, 12877, 326, 3240, 14114, 342, 331, 3794, 14072, 29899, 28594, 5448, 715, 7704, 308, 630, 308, 264, 4083, 12877, 326, 3240, 25326, 1002, 577, 23063, 3279, 7510, 326, 2742, 20660, 715, 7704, 308, 630, 308, 264, 4083, 4210, 1622, 517, 779, 8316, 330, 645, 1393, 334, 2220, 1622, 18223, 715, 7704, 308, 630, 308, 264, 4083, 772, 680, 663, 9995, 7032, 704, 19258, 1090, 807, 1279, 3821, 19085, 715, 7704, 308, 630, 308, 264, 8633, 20523, 9995, 24824, 595, 8735, 6182, 639, 666, 611, 18424, 9184, 5866, 715, 7704, 308, 630, 308, 264, 8633, 4024, 578, 26850, 13906, 7815, 2506, 3671, 517, 1314, 911, 650, 4512, 715, 7704, 275, 630, 289, 322, 264, 8633, 8585, 4802, 24415, 1723, 897, 3518, 23581, 715, 7704, 275, 630, 290, 321, 264, 8633, 14117, 1532, 2683, 595, 3089, 5622, 23081, 1097, 345, 639, 7819, 639, 715, 7704, 308, 630, 308, 264, 594, 4563, 20356, 539, 12113, 4958, 18771, 11253, 562, 580, 686, 6647, 715, 7704, 308, 630, 308, 264, 594, 4516, 22118, 343, 22118, 343, 666, 611, 18424, 715, 7704, 272, 630, 288, 320, 264, 594, 24104, 754, 779, 8262, 3887, 1563, 15506, 595, 800, 24335, 327, 19434, 10034, 754, 4512, 715, 7704, 272, 630, 288, 320, 264, 594, 29131, 623, 12714, 717, 9372, 774, 558, 558, 903, 804, 639, 3780, 715, 7704, 273, 630, 289, 320, 264, 4083, 12877, 326, 3240, 1744, 4319, 590, 648, 343, 554, 1195, 328, 715, 7704, 274, 630, 289, 321, 264, 4083, 24258, 31040, 3131, 558, 903, 322, 639, 1835, 514, 7978, 715, 7704, 273, 630, 6781, 264, 4083, 1849, 858, 932, 760, 332, 6064, 3026, 582, 600, 5362, 21053, 23653, 715, 7704, 274, 630, 289, 321, 264, 4083, 667, 17768, 1744, 4319, 590, 648, 343, 6289, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 674, 2590, 539, 3733, 582, 529, 3733, 582, 529, 555, 903, 534, 3941, 715, 7704, 274, 630, 289, 321, 264, 4083, 4279, 19438, 623, 12714, 31040, 3131, 1758, 987, 639, 1612, 341, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 3571, 3671, 623, 12714, 31040, 24755, 564, 617, 760, 639, 1010, 3671, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 27924, 623, 12714, 717, 9372, 774, 558, 558, 903, 7329, 22840, 18424, 715, 7704, 274, 630, 289, 321, 264, 4083, 7043, 3887, 1563, 3733, 582, 529, 3733, 582, 529, 859, 582, 529, 715, 7704, 274, 630, 289, 321, 264, 715, 7704, 274, 630, 289, 321, 264, 8525, 10001, 1107, 1775, 910, 476, 279, 310, 344, 4040, 3557, 13812, 11059, 4643, 910, 476, 1001, 271, 15661, 540, 4279, 652, 11094, 10261, 29131, 10794, 543, 12551, 4972, 4985, 12525, 320, 5871, 8745, 11660, 8745, 476, 1001, 271, 570, 1512, 6828, 715, 7704, 7043, 6122, 13949, 3733, 582, 529, 3733, 582, 529, 2019, 753, 8426, 4083, 293, 880, 8832, 3733, 582, 529, 3733, 582, 529, 31027, 550, 337, 1308, 529, 4083, 13100, 10722, 517, 31040, 3131, 558, 903, 322, 639, 3020, 328, 715, 7704, 274, 630, 289, 321, 264, 4083, 26111, 28610, 31040, 1234, 603, 16967, 2632, 558, 903, 1395, 11927, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 26111, 623, 12714, 717, 9372, 2983, 558, 903, 536, 2720, 23581, 715, 7704, 274, 630, 289, 321, 264, 4083, 2776, 1076, 779, 1744, 4319, 590, 648, 343, 840, 1076, 328, 715, 7704, 274, 630, 289, 321, 264, 4083, 12877, 326, 3240, 31594, 4858, 577, 2643, 27534, 7329, 22840, 18424, 715, 7704, 274, 630, 289, 321, 264, 4083, 8125, 5652, 623, 12714, 31040, 3131, 1758, 987, 639, 7657, 639, 715, 7704, 274, 630, 289, 321, 264, 4083, 20128, 1540, 15506, 661, 644, 1069, 320, 5672, 592, 23628, 715, 7704, 274, 630, 289, 321, 264, 4083, 4826, 966, 1961, 5843, 339, 639, 3638, 1841, 18223, 715, 7704, 274, 630, 289, 321, 264, 4083, 26728, 591, 710, 717, 25222, 575, 25222, 715, 7704, 274, 630, 289, 321, 264, 4083, 645, 662, 1941, 2701, 788, 744, 6665, 666, 611, 18424, 715, 7704, 274, 630, 289, 321, 264, 4083, 631, 5366, 1325, 806, 620, 806, 715, 7704, 274, 630, 289, 321, 264, 4083, 8832, 674, 2391, 8293, 597, 7758, 3794, 879, 1260, 903, 26453, 12541, 639, 715, 7704, 275, 630, 289, 322, 264, 4083, 2776, 1076, 779, 28927, 578, 808, 18804, 715, 7704, 275, 630, 289, 322, 264, 31040, 2098, 777, 639, 554, 644, 5459, 3780, 840, 1076, 328, 715, 7704, 275, 630, 289, 322, 264, 1977, 6742, 523, 6742, 525, 5643, 545, 3570, 8262, 9466, 15506, 661, 696, 525, 16307, 535, 19895, 639, 715, 7704, 275, 630, 289, 322, 264, 4083, 9741, 9466, 3733, 582, 529, 3733, 582, 529, 23058, 604, 1872, 639, 715, 7704, 275, 630, 290, 321, 264, 4083, 29106, 1532, 17977, 623, 12714, 31040, 3131, 1758, 987, 639, 535, 30913, 9850, 715, 7704, 275, 630, 290, 321, 264, 4083, 27997, 16737, 23977, 6647, 6063, 2135, 715, 7704, 275, 630, 290, 321, 264, 4083, 5375, 9540, 20356, 539, 3733, 582, 529, 3733, 582, 529, 524, 559, 2723, 629, 5300, 715, 7704, 275, 630, 290, 321, 264, 4083, 1977, 623, 11986, 744, 577, 582, 7431, 19036, 1186, 715, 7704, 275, 630, 290, 321, 264, 4083, 8109, 4414, 15506, 700, 14515, 32203, 16004, 23653, 715, 7704, 275, 630, 290, 321, 264, 4083, 8832, 5211, 17305, 614, 700, 2632, 571, 666, 611, 18424, 715, 7704, 308, 630, 308, 264, 4083, 623, 718, 573, 15506, 4165, 549, 345, 748, 23080, 573, 639, 715, 7704, 308, 630, 308, 264, 4083, 26111, 623, 12714, 31040, 3131, 1758, 987, 639, 1166, 2314, 322, 839, 715, 7704, 308, 630, 308, 264, 4083, 15917, 6577, 779, 1744, 4319, 590, 648, 343, 18720, 6577, 328, 715, 7704, 274, 630, 289, 321, 264, 8633, 20128, 1540, 16140, 8293, 597, 7758, 590, 11279, 17232, 639, 838, 3342, 5448, 715, 7704, 274, 630, 289, 321, 264, 8633, 772, 842, 320, 932, 760, 332, 6064, 3026, 582, 600, 5362, 19804, 1962, 19434, 715, 7704, 275, 630, 289, 322, 264, 8633, 14117, 1790, 710, 932, 760, 332, 6064, 3026, 582, 600, 5362, 993, 14535, 639, 715, 7704, 275, 630, 289, 322, 264, 8633, 966, 698, 7949, 1744, 4319, 590, 648, 343, 13112, 4920, 715, 7704, 275, 630, 289, 322, 264, 8633, 17384, 6742, 525, 30779, 21468, 715, 7704, 275, 630, 289, 322, 264, 8633, 2274, 770, 1284, 553, 601, 18771, 11253, 562, 2526, 529, 715, 7704, 275, 630, 290, 321, 264, 8633, 9791, 3650, 590, 27462, 9697, 739, 558, 639, 1167, 984, 565, 639, 715, 7704, 308, 630, 308, 264, 8633, 4469, 14128, 17625, 590, 27462, 9697, 739, 558, 639, 4234, 760, 4883, 529, 715, 7704, 308, 630, 308, 264, 8633, 715, 7704, 272, 630, 288, 320, 264, 594, 715, 7704, 272, 630, 288, 320, 264, 594, 310, 344, 4040, 3557, 13812, 11059, 4643, 910, 476, 1001, 271, 8525, 10001, 1107, 1775, 910, 476, 280, 15661, 540, 4279, 652, 11094, 10261, 29131, 10794, 543, 12551, 4972, 4985, 307, 1314, 320, 5871, 8745, 11660, 8745, 476, 1001, 271, 570, 1512, 27026, 715, 7704, 8426, 594, 8649, 874, 756, 1014, 918, 754, 718, 24953, 25951, 667, 864, 10910, 514, 747, 628, 903, 15259, 1529, 639, 8143, 529, 594, 18471, 18571, 932, 889, 717, 10042, 7347, 320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6092, 5149, 281, 22383, 1299, 18753, 26358, 607, 8466, 11470, 281, 589, 12213, 667, 633, 883, 634, 12724, 3547, 692, 1103, 713, 1576, 1770, 267, 649, 786, 2263, 519, 10167, 540, 14676, 543, 8642, 9089, 609, 3140, 5708, 267, 4481, 2519, 593, 519, 10120, 1974, 543, 519, 12724, 3547, 269, 1284, 786, 5659, 875, 891, 3308, 6386, 666, 1683, 2189, 4030, 883, 3140, 2621, 1247, 849, 19278, 3988, 543, 8716, 2565, 3206, 827, 519, 2250, 543, 922, 4276, 547, 519, 1459, 269, 3414, 2673, 13220, 540, 5697, 5931, 543, 7811, 10850, 267, 596, 786, 2744, 513, 13857, 1620, 540, 875, 13371, 5159, 946, 11052, 267, 1257, 267, 543, 1374, 2609, 547, 1711, 2502, 2984, 1305, 538, 519, 11397, 2250, 780, 272, 269, 20223, 8466, 11470, 543, 4706, 11957, 538, 22383, 543, 18753, 26358, 454, 23208, 5708, 4016, 547, 6386, 602, 1491, 1747, 1282, 1808, 5712, 540, 1686, 267, 1419, 10023, 1483, 3140, 5515, 7258, 14070, 3197, 269, 901, 9135, 2636, 15888, 547, 4952, 1018, 1272, 729, 899, 1282, 1880, 21971, 543, 547, 2263, 1950, 4798, 998, 9423, 269, 1280, 1383, 267, 3203, 1975, 20672, 601, 2006, 781, 17240, 12688, 15356, 20421, 8575, 639, 6645, 519, 1650, 540, 519, 14195, 1210, 10236, 25806, 2831, 267, 3246, 513, 3532, 3929, 1764, 543, 9870, 4656, 827, 513, 2629, 2680, 538, 1480, 1686, 269, 6684, 267, 14676, 543, 8642, 9089, 827, 519, 12724, 3547, 2709, 3255, 547, 4497, 609, 519, 7294, 18144, 543, 4539, 540, 3909, 13137, 563, 273, 269, 10289, 519, 12724, 3547, 538, 22383, 543, 18753, 26358, 454, 763, 12724, 3547, 630, 11820, 276, 268, 15782, 272, 264, 941, 513, 3126, 540, 4108, 11044, 15748, 676, 5375, 3864, 10271, 1996, 12356, 2713, 538, 519, 5664, 5101, 269, 1452, 7526, 1185, 7096, 6286, 585, 4984, 267, 6214, 267, 543, 2528, 267, 1818, 873, 15417, 2666, 585, 3308, 1650, 339, 25527, 5461, 538, 3695, 2152, 540, 5132, 267, 1379, 267, 543, 3961, 269, 2290, 8037, 1383, 568, 14730, 21696, 22383, 262, 834, 290, 6350, 1228, 2437, 799, 5205, 513, 1762, 16574, 541, 27585, 3957, 7338, 607, 646, 4044, 919, 519, 2797, 543, 3909, 13253, 540, 519, 5736, 269, 1635, 6313, 1568, 899, 834, 290, 6350, 1228, 257, 5702, 267, 649, 666, 1732, 1174, 875, 13371, 5159, 1935, 3140, 5396, 543, 14377, 1950, 2093, 883, 3015, 3308, 6386, 563, 274, 269, 10439, 27884, 9828, 538, 22383, 543, 18753, 26358, 454, 4467, 923, 543, 8642, 9089, 7048, 8185, 593, 3308, 10291, 547, 6655, 2495, 267, 3850, 5159, 547, 4603, 609, 8470, 29282, 267, 2681, 14565, 267, 543, 1915, 6272, 547, 3986, 741, 2984, 269, 1879, 18995, 3140, 2621, 899, 519, 12724, 3547, 267, 3308, 1650, 339, 25527, 1590, 3666, 6111, 609, 7499, 12689, 267, 4180, 602, 741, 960, 3788, 1312, 13181, 543, 11617, 8903, 269, 1280, 3236, 267, 834, 290, 6350, 19470, 281, 634, 12096, 523, 8003, 257, 3096, 10565, 8654, 543, 17804, 4778, 547, 11168, 519, 22880, 7941, 1063, 4168, 543, 7332, 4229, 267, 10223, 519, 20748, 4655, 693, 519, 2295, 540, 519, 5880, 8172, 3350, 563, 275, 269, 3955, 31147, 7956, 543, 12005, 17716, 538, 22383, 543, 18753, 26358, 454, 3080, 10747, 8984, 540, 14676, 543, 8642, 9089, 568, 519, 16799, 1063, 1257, 543, 3239, 269, 2755, 930, 8440, 949, 4183, 5188, 610, 3061, 687, 7713, 2621, 267, 1866, 1522, 7048, 9003, 593, 3308, 1344, 547, 5968, 2495, 269, 4197, 875, 891, 3347, 1599, 568, 1898, 585, 7421, 3140, 5708, 538, 713, 5420, 3927, 269, 6333, 267, 585, 1383, 267, 875, 14639, 5937, 14865, 5651, 7079, 543, 28741, 2725, 684, 1512, 781, 834, 288, 638, 15714, 257, 18252, 8766, 2065, 1257, 19610, 609, 6946, 12383, 547, 18427, 519, 5790, 540, 10120, 5333, 1282, 519, 12059, 12724, 1228, 269, 22718, 971, 5079, 666, 8774, 1769, 593, 519, 3860, 1184, 3297, 891, 1568, 543, 15052, 707, 7071, 585, 741, 3140, 4644, 563, 276, 269, 4045, 532, 22383, 543, 18753, 26358, 547, 7351, 15638, 543, 4317, 12983, 454, 7661, 267, 621, 568, 4105, 547, 2015, 875, 3140, 5708, 538, 14676, 543, 8642, 9089, 12211, 547, 4207, 9840, 543, 1514, 2152, 269, 12267, 827, 519, 12724, 3547, 267, 585, 3236, 267, 666, 948, 721, 2992, 593, 519, 5571, 32692, 1063, 1114, 10764, 543, 4529, 2221, 269, 5047, 267, 789, 7618, 721, 540, 519, 1279, 1686, 540, 3909, 17119, 1143, 543, 22166, 267, 28409, 13657, 950, 16042, 2147, 2591, 538, 519, 2413, 1158, 269, 1306, 971, 267, 2502, 609, 891, 5931, 3091, 3407, 4245, 585, 10188, 938, 1950, 2518, 5251, 780, 3528, 18167, 7184, 883, 519, 2078, 1063, 14676, 267, 8642, 9089, 267, 543, 3140, 5708, 267, 3226, 3823, 519, 12724, 3547, 267, 596, 786, 10836, 689, 713, 1576, 1770, 609, 513, 3152, 1620, 540, 875, 3308, 6386, 3565, 547, 938, 7104, 3965, 543, 4196, 607, 6472, 585, 2686, 16472, 269, 3958, 267, 596, 786, 11349, 1898, 1983, 538, 3308, 7924, 267, 2565, 2079, 267, 543, 3140, 6568, 267, 8600, 596, 547, 5660, 543, 6218, 1585, 3029, 540, 2923, 3564, 519, 9165, 540, 713, 1576, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 769, 6665, 1043, 8758, 974, 454, 2414, 938, 2828, 454, 2414, 1346, 585, 7247, 519, 1439, 540, 513, 10340, 568, 711, 519, 1439, 540, 519, 1158, 3248, 2414, 1346, 945, 1294, 1202, 18675, 1101, 540, 782, 607, 513, 21556, 538, 519, 6896, 12081, 540, 23535, 7190, 267, 6013, 267, 543, 10539, 3248, 2414, 1346, 945, 20559, 267, 3297, 519, 5394, 20893, 540, 968, 322, 5142, 529, 2223, 513, 14364, 540, 4238, 267, 18902, 951, 267, 1193, 622, 613, 916, 11652, 8754, 519, 7872, 540, 513, 4831, 3430, 871, 3248, 2414, 1346, 945, 10880, 9514, 338, 3248, 2414, 1346, 8384, 585, 519, 1318, 4090, 3248, 2414, 1346, 3168, 585, 6104, 1182, 3248, 2414, 1346, 945, 616, 9390, 532, 3248, 2414, 1346, 945, 1832, 2469, 3248, 2414, 1346, 3478, 6896, 3248, 2414, 1346, 16462, 547, 1628, 513, 12316, 3196, 267, 12316, 1317, 621, 779, 6213, 3248, 1607, 16434, 9295, 547, 606, 1620, 540, 938, 942, 563, 2414, 25381, 267, 2871, 764, 1470, 267, 5981, 529, 267, 543, 454, 297, 699, 3240, 30623, 1180, 1287, 2676, 29467, 568, 1100, 824, 1158, 563, 2467, 779, 1175, 1776, 1259, 547, 2661, 3034, 763, 31837, 516, 2388, 723, 2097, 267, 6368, 454, 763, 31837, 516, 2388, 723, 2097, 267, 6368, 269, 2311, 971, 513, 10605, 543, 538, 865, 1082, 2477, 267, 2094, 476, 1220, 279, 267, 602, 519, 2898, 2497, 540, 713, 1158, 4667, 547, 581, 30477, 337, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 300, 12903, 1299, 16998, 4338, 295, 2975, 715, 10976, 30600, 1315, 8466, 11470, 1315, 19744, 1315, 634, 12724, 3547, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 278, 281, 20407, 5211, 14265, 2478, 910, 589, 17714, 3414, 5384, 543, 28673, 692, 296, 269, 4985, 692, 763, 20407, 5211, 267, 519, 1272, 29188, 540, 12266, 10340, 267, 814, 1044, 513, 4105, 16050, 585, 6283, 267, 16450, 267, 543, 12555, 2094, 25196, 269, 3683, 5553, 267, 621, 814, 14754, 519, 4473, 543, 2887, 540, 1390, 23693, 267, 10114, 3293, 6694, 2950, 267, 543, 6273, 15023, 267, 5159, 267, 543, 5640, 7567, 269, 4653, 267, 519, 20407, 939, 330, 976, 17631, 689, 2066, 519, 8608, 267, 18136, 873, 547, 7832, 593, 513, 13710, 3460, 998, 942, 543, 2245, 3842, 29413, 5757, 2267, 2478, 269, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 20407, 5211, 2267, 2478, 267, 3695, 741, 3140, 5072, 267, 2686, 4644, 267, 543, 2413, 27559, 780, 2862, 269, 8466, 24306, 540, 20407, 5211, 14265, 2358, 692, 288, 269, 9147, 17959, 692, 272, 269, 1912, 4673, 4577, 645, 1173, 525, 910, 634, 9998, 1106, 540, 20407, 5211, 3560, 7389, 1394, 547, 519, 5736, 540, 519, 943, 21198, 338, 950, 30060, 20476, 525, 21986, 539, 519, 25825, 17078, 523, 609, 5370, 267, 14064, 527, 2456, 267, 543, 10723, 13742, 269, 1452, 8043, 6039, 1312, 4052, 543, 12572, 5301, 267, 17923, 519, 10143, 4567, 540, 519, 14610, 1247, 14123, 2792, 1063, 11397, 17260, 780, 273, 269, 18774, 523, 2065, 543, 4936, 11270, 338, 910, 1306, 5259, 543, 4936, 3310, 15449, 730, 5527, 267, 865, 1932, 1705, 4914, 16919, 543, 7375, 3337, 2199, 9821, 269, 4438, 891, 5712, 267, 16837, 569, 32751, 687, 2059, 519, 20407, 2968, 5051, 2442, 1851, 3413, 23308, 8436, 11235, 547, 1995, 519, 3148, 781, 535, 12574, 26672, 528, 20250, 780, 289, 269, 7073, 23548, 25751, 692, 274, 269, 7338, 13648, 1299, 12312, 910, 3703, 16724, 7338, 13648, 568, 4922, 20295, 609, 21722, 2413, 9235, 538, 5527, 1739, 1010, 22305, 1116, 22116, 1524, 519, 20407, 538, 476, 5908, 280, 269, 17130, 539, 609, 12180, 22581, 543, 17825, 585, 3864, 28665, 11504, 519, 6679, 540, 519, 590, 22222, 22575, 267, 13648, 6444, 519, 1761, 585, 1804, 8397, 9235, 2059, 5527, 781, 588, 528, 1221, 1216, 3118, 269, 3571, 2754, 13604, 5189, 2848, 4461, 1222, 2533, 23695, 547, 1134, 13463, 601, 539, 7817, 25279, 267, 3976, 18413, 519, 24536, 585, 2221, 781, 17195, 23593, 2872, 780, 7656, 269, 8836, 19043, 540, 20407, 5211, 14265, 2478, 692, 288, 269, 16329, 1670, 654, 1180, 619, 692, 275, 269, 7843, 1255, 543, 8751, 2125, 910, 589, 30883, 24207, 5057, 540, 1022, 20407, 5211, 23593, 3322, 9683, 15456, 4609, 14869, 539, 538, 3140, 26675, 269, 7324, 519, 1034, 26060, 616, 24006, 528, 13527, 267, 31016, 752, 13527, 13216, 267, 9503, 540, 519, 18301, 267, 543, 26512, 3244, 10964, 1765, 3000, 3701, 602, 1140, 652, 547, 5527, 781, 11972, 9371, 607, 513, 524, 2784, 548, 540, 1480, 10340, 780, 276, 269, 2271, 26143, 11595, 910, 4982, 958, 8903, 616, 3255, 547, 4497, 609, 2713, 5389, 9738, 676, 2199, 2950, 269, 3245, 2757, 2575, 543, 7544, 12644, 547, 11925, 11744, 2085, 6040, 23477, 2553, 267, 971, 13341, 2709, 3407, 5813, 883, 5527, 781, 3309, 2686, 5958, 780, 289, 269, 7025, 19731, 13734, 692, 277, 269, 7579, 320, 543, 13056, 10044, 910, 19484, 519, 20407, 6799, 15792, 4316, 547, 7747, 6805, 18508, 543, 21426, 9862, 547, 18009, 4115, 9249, 269, 31838, 2249, 1331, 519, 7925, 20407, 25438, 850, 630, 290, 10635, 1328, 331, 639, 562, 559, 5328, 639, 1070, 9691, 13155, 3043, 32567, 16481, 529, 630, 1320, 637, 330, 1640, 23036, 30632, 344, 6350, 1070, 543, 23836, 12266, 642, 11857, 630, 10468, 2684, 1258, 25576, 333, 16239, 639, 6393, 278, 269, 20885, 9024, 328, 2510, 910, 20876, 519, 991, 585, 3743, 19642, 267, 1082, 23593, 12427, 723, 8045, 6940, 3800, 6322, 693, 8497, 8733, 3666, 269, 6201, 1331, 27126, 12725, 3812, 14074, 267, 10893, 3653, 5108, 267, 543, 5885, 5726, 3785, 6131, 547, 17420, 6237, 9265, 780, 4353, 269, 7073, 2353, 675, 540, 20407, 5211, 14265, 2478, 692, 288, 269, 2201, 4580, 23800, 692, 279, 269, 6452, 7951, 566, 543, 667, 1456, 910, 7073, 20407, 5211, 2267, 2478, 30107, 29319, 15180, 532, 1346, 1336, 693, 30856, 759, 2176, 5001, 269, 1975, 20160, 588, 831, 334, 1682, 12912, 609, 2040, 696, 6681, 29939, 902, 267, 575, 712, 5471, 11951, 5423, 676, 18368, 8036, 22730, 267, 543, 30664, 764, 762, 3028, 21656, 891, 13735, 5493, 2167, 780, 280, 269, 2037, 5341, 618, 14691, 910, 1677, 9148, 8289, 572, 4370, 30295, 267, 23593, 3515, 1419, 1225, 622, 23918, 5752, 2966, 547, 15052, 15915, 262, 1620, 540, 6237, 2528, 543, 1686, 269, 700, 624, 999, 9447, 676, 22644, 539, 5640, 267, 1893, 4245, 267, 5986, 5049, 267, 543, 10649, 7886, 616, 1175, 930, 1806, 540, 2238, 2139, 20829, 4207, 8043, 780, 289, 269, 898, 10719, 776, 21253, 2225, 692, 1015, 269, 11426, 14184, 18169, 910, 717, 821, 616, 519, 2395, 950, 20407, 5211, 2267, 2478, 740, 22363, 14553, 547, 24441, 16131, 269, 27009, 267, 1167, 518, 940, 17631, 666, 20688, 741, 15322, 2687, 547, 2123, 4690, 543, 7375, 267, 8939, 689, 16221, 3681, 8151, 689, 3141, 23438, 3905, 2011, 17891, 26055, 936, 3504, 17633, 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 ]
[ 537, 614, 9078, 9707, 10797, 8931, 1038, 692, 7531, 13872, 258, 5035, 585, 32646, 1794, 4558, 454, 5035, 32646, 1794, 263, 3333, 879, 25206, 336, 2187, 825, 1948, 335, 20094, 540, 32646, 1794, 4558, 3097, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 695, 879, 25206, 336, 14857, 8181, 9191, 1345, 994, 1038, 1582, 4732, 541, 1794, 14067, 648, 28121, 257, 332, 1787, 9899, 314, 2767, 267, 276, 316, 2437, 4486, 4580, 9899, 314, 1724, 267, 278, 316, 2437, 3000, 6002, 9899, 314, 736, 267, 1724, 316, 8679, 1038, 1582, 11075, 879, 25206, 336, 14067, 648, 284, 1345, 4732, 541, 1794, 14067, 648, 28329, 13872, 258, 1362, 585, 737, 541, 574, 4558, 22322, 5035, 737, 541, 574, 263, 3333, 879, 25206, 336, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 695, 879, 25206, 336, 14857, 8181, 9191, 1345, 994, 1038, 1582, 21993, 541, 574, 14067, 648, 815, 346, 257, 23054, 923, 3556, 9899, 314, 279, 267, 1626, 316, 2437, 1090, 9899, 314, 1428, 267, 2537, 316, 2437, 3000, 6002, 9899, 314, 1704, 267, 1428, 316, 8679, 1038, 1582, 11075, 879, 25206, 336, 14067, 648, 284, 1345, 21993, 541, 574, 14067, 648, 1038, 7531, 22322, 258, 5035, 585, 521, 752, 559, 4558, 454, 5035, 521, 752, 559, 263, 3333, 879, 25206, 336, 2187, 825, 1219, 6449, 8181, 9191, 1345, 264, 10778, 1038, 695, 879, 25206, 336, 14857, 8181, 9191, 1345, 994, 1038, 1582, 4732, 752, 559, 14067, 648, 28121, 257, 23054, 923, 3556, 9899, 314, 280, 267, 1704, 316, 2437, 3650, 10746, 9899, 314, 1015, 267, 1556, 316, 2437, 322, 30298, 16830, 9899, 314, 1428, 267, 1704, 316, 8679, 1038, 1582, 11075, 879, 25206, 336, 14067, 648, 284, 1345, 4732, 752, 559, 14067, 648, 1363, 692, 5035, 695, 879, 25206, 336, 318, 8688, 263, 3333, 879, 25206, 336, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1820, 2891, 9767, 723, 11751, 5602, 1038, 1820, 263, 3333, 14563, 8217, 994, 1038, 695, 879, 25206, 336, 14857, 8181, 9191, 1345, 2020, 692, 13872, 825, 1948, 24709, 547, 1491, 3403, 585, 9513, 519, 3688, 547, 519, 4558, 454, 825, 1219, 1491, 17750, 318, 1721, 318, 18522, 4311, 2187, 1038, 585, 3688, 538, 1582, 11075, 879, 25206, 336, 14067, 648, 269, 12399, 10031, 2018, 1948, 3832, 9535, 952, 26134, 568, 1336, 538, 6300, 532, 1592, 454, 2018, 952, 3688, 538, 6300, 532, 8217, 269, 12399, 10031, 3546, 6300, 532, 8217, 21014, 263, 19477, 2020, 3546, 1948, 3832, 9535, 952, 26134, 568, 1336, 454, 3546, 952, 7003, 263, 3333, 14563, 8217, 264, 2525, 272, 912, 7386, 1948, 604, 519, 585, 8520, 568, 3020, 3097, 7386, 1948, 1287, 10478, 585, 26134, 6221, 538, 555, 824, 6300, 539, 6221, 454, 7386, 585, 3688, 273, 538, 1582, 11075, 879, 25206, 336, 14067, 648, 269, 12399, 10031, 13376, 952, 3688, 273, 538, 6300, 532, 8217, 269, 12399, 10031, 23351, 6300, 532, 8217, 21014, 263, 19477, 273, 994, 23351, 2736, 7531, 7386, 1948, 604, 26134, 711, 1336, 538, 2034, 1287, 1780, 519, 952, 3116, 3948, 1038, 454, 7386, 3116, 912, 13376, 1780, 454, 7386, 1948, 19874, 856, 540, 519, 585, 8520, 454, 7386, 2736, 3097, 1038, 1219, 3893, 334, 318, 537, 614, 318, 31467, 10031, 2018, 1948, 29514, 4756, 6578, 547, 12189, 621, 454, 2018, 2518, 6578, 454, 2018, 1948, 29514, 4756, 6133, 8217, 547, 2638, 6221, 3902, 454, 2018, 2518, 6133, 8217, 454, 2018, 2518, 2132, 318, 9557, 454, 2018, 952, 7003, 263, 3333, 14563, 8217, 264, 285, 284, 272, 912, 3546, 14496, 318, 13765, 18989, 454, 3546, 1247, 14496, 318, 13765, 1384, 7386, 1491, 17750, 318, 1721, 318, 8688, 902, 284, 6358, 2891, 10938, 519, 6221, 547, 6133, 5602, 7386, 1948, 3832, 9535, 952, 3403, 6221, 568, 538, 519, 6300, 532, 1592, 454, 7386, 952, 1491, 17750, 318, 1721, 318, 8688, 902, 538, 6300, 532, 8217, 269, 12399, 10031, 13376, 1948, 604, 3020, 1287, 6998, 585, 519, 2179, 692, 13376, 6006, 318, 3832, 9535, 18989, 454, 13376, 1247, 6006, 318, 3832, 9535, 912, 23351, 6133, 318, 26920, 284, 6358, 2891, 852, 4283, 519, 2179, 540, 875, 1454, 596, 1616, 547, 6133, 5602, 23351, 1948, 3832, 9535, 519, 1826, 540, 519, 6133, 318, 26920, 454, 23351, 952, 6133, 318, 26920, 18994, 323, 13424, 10031, 4449, 3546, 6133, 318, 26920, 25507, 263, 8688, 318, 26920, 994, 4449, 3546, 1948, 13765, 952, 2179, 568, 538, 2039, 610, 711, 454, 4449, 3546, 952, 6133, 318, 26920, 27045, 3333, 14563, 8217, 314, 339, 820, 17750, 318, 1721, 318, 8688, 902, 14158, 4449, 7386, 1948, 6533, 18946, 519, 7274, 689, 519, 6300, 532, 8217, 6221, 454, 4449, 7386, 6300, 532, 8217, 314, 339, 820, 17750, 318, 1721, 318, 8688, 902, 24557, 3333, 14563, 8217, 314, 339, 820, 17750, 318, 1721, 318, 8688, 902, 316, 268, 8688, 318, 26920, 454, 4449, 7386, 1948, 3832, 9535, 952, 6006, 540, 519, 6221, 568, 856, 454, 4449, 7386, 952, 6300, 532, 8217, 314, 339, 820, 17750, 318, 1721, 318, 8688, 902, 316, 2525, 271, 912, 4449, 13376, 1948, 604, 3020, 1287, 1402, 532, 519, 6221, 856, 454, 4449, 13376, 6300, 532, 8217, 21014, 6025, 820, 17750, 318, 1721, 318, 8688, 902, 994, 4449, 7386, 3116, 912, 4449, 13376, 1780, 454, 4449, 7386, 1948, 32061, 519, 2724, 3097, 4449, 7386, 6578, 23785, 8688, 8217, 314, 339, 820, 17750, 318, 1721, 318, 8688, 902, 30297, 8688, 318, 26920, 454, 4449, 7386, 1820, 2891, 20365, 6578, 568, 1631, 14307, 1598, 6357, 644, 1326, 4917, 4449, 7386, 952, 2132, 318, 9557, 285, 273, 10778, 4449, 13376, 2736, 454, 4449, 7386, 952, 7003, 263, 3333, 14563, 8217, 25631, 284, 271, 912, 4449, 13376, 14827, 318, 20657, 3187, 284, 6358, 2891, 4777, 596, 1616, 547, 6133, 1776, 6221, 982, 4283, 586, 3116, 4283, 4376, 855, 586, 19515, 14030, 13872, 4449, 7386, 3116, 912, 4449, 13376, 2736, 454, 4449, 7386, 952, 14827, 318, 20657, 3187, 2525, 257, 344, 257, 543, 2132, 318, 9557, 283, 273, 912, 4449, 13376, 2132, 318, 9557, 23785, 274, 454, 14030, 13872, 4449, 13376, 1948, 27965, 519, 6345, 1586, 454, 4449, 13376, 3893, 334, 318, 537, 614, 318, 31467, 4590, 4449, 13376, 2132, 318, 9557, 284, 271, 454, 4449, 13376, 2736, 454, 4449, 7386, 3116, 912, 4449, 13376, 2736, 454, 4449, 3546, 1948, 604, 856, 540, 2039, 982, 31325, 519, 8520, 1586, 3097, 4449, 3546, 3116, 912, 4449, 7386, 1820, 2891, 26920, 568, 856, 540, 2039, 5602, 4449, 7386, 6006, 318, 3832, 9535, 18989, 454, 23351, 1948, 604, 711, 8870, 8228, 23380, 3403, 543, 4358, 519, 8520, 1586, 454, 23351, 3116, 912, 4449, 3546, 1820, 2891, 514, 20777, 1826, 540, 3403, 5602, 4449, 3546, 6006, 318, 3832, 9535, 18989, 454, 13376, 14496, 318, 13765, 25716, 23351, 454, 4449, 672, 692, 7386, 1948, 604, 6221, 711, 538, 6300, 532, 8217, 1287, 4358, 519, 8520, 1586, 543, 10213, 519, 6345, 454, 7386, 3116, 912, 13376, 1820, 2891, 9767, 798, 711, 723, 713, 6221, 538, 707, 6300, 532, 1592, 5602, 13376, 14496, 318, 13765, 18989, 454, 4449, 8931, 27030, 2018, 3116, 912, 3546, 1820, 2891, 9767, 723, 4503, 782, 707, 3688, 5602, 4449, 454, 1038, 3893, 334, 318, 537, 614, 318, 31467, 10797, 692, 5035, 32646, 1794, 318, 8688, 4433, 541, 1794, 267, 3333, 879, 25206, 336, 318, 8688, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 32646, 1794, 14857, 8181, 9191, 1345, 994, 1038, 695, 879, 25206, 336, 318, 8688, 14857, 8181, 9191, 1345, 994, 1038, 1582, 11075, 879, 25206, 336, 14067, 648, 284, 1345, 4732, 541, 1794, 14067, 648, 7531, 5035, 737, 541, 574, 318, 8688, 17347, 541, 574, 267, 3333, 879, 25206, 336, 318, 8688, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 737, 541, 574, 14857, 8181, 9191, 1345, 994, 1038, 695, 879, 25206, 336, 318, 8688, 14857, 8181, 9191, 1345, 994, 1038, 1582, 11075, 879, 25206, 336, 14067, 648, 284, 1345, 21993, 541, 574, 14067, 648, 454, 8528, 5035, 521, 752, 559, 318, 8688, 4433, 752, 559, 267, 3333, 879, 25206, 336, 318, 8688, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 521, 752, 559, 14857, 8181, 9191, 1345, 994, 1038, 695, 879, 25206, 336, 318, 8688, 14857, 8181, 9191, 1345, 994, 1038, 1582, 11075, 879, 25206, 336, 14067, 648, 284, 1345, 4732, 752, 559, 14067, 648, 454, 11434, 454, 1363, 692, 3698, 1404, 14682, 877, 10031, 825, 1948, 1492, 3014, 814, 3323, 454, 825, 1820, 2891, 31435, 6345, 5602, 825, 1820, 2891, 289, 5085, 8582, 9358, 22743, 12717, 5990, 590, 9816, 4916, 5602, 825, 1820, 263, 3333, 641, 8217, 994, 825, 1948, 19702, 762, 547, 1832, 10992, 2012, 3097, 825, 14496, 318, 13765, 18989, 454, 825, 1948, 6112, 8520, 547, 1832, 10992, 519, 2012, 952, 621, 3884, 1405, 4570, 454, 825, 1247, 14496, 318, 13765, 912, 1038, 1948, 19702, 762, 547, 1491, 3403, 547, 2638, 799, 4558, 547, 4444, 689, 454, 1038, 6300, 318, 20657, 3187, 284, 6358, 2891, 7728, 2207, 5990, 15562, 8008, 715, 28719, 9358, 654, 19611, 9215, 645, 308, 312, 20978, 8442, 3097, 1038, 1820, 2891, 517, 519, 2451, 2427, 540, 519, 1592, 568, 519, 2139, 6300, 5602, 1038, 1820, 2891, 517, 519, 1318, 1688, 2427, 596, 4927, 1265, 519, 7573, 540, 519, 6221, 5602, 1038, 1948, 3832, 9535, 799, 1362, 519, 6300, 1843, 1058, 723, 454, 1038, 952, 6300, 318, 20657, 3187, 476, 538, 6300, 318, 20657, 3187, 8217, 912, 2018, 952, 6300, 318, 20657, 3187, 2525, 257, 3333, 879, 25206, 336, 13426, 3546, 6300, 284, 3333, 879, 25206, 336, 4590, 2018, 8640, 6300, 318, 20657, 3187, 2525, 257, 338, 541, 1794, 13426, 3546, 6300, 284, 338, 541, 1794, 4590, 2018, 8640, 6300, 318, 20657, 3187, 2525, 257, 22894, 574, 13426, 3546, 6300, 284, 22894, 574, 4590, 2018, 8640, 6300, 318, 20657, 3187, 2525, 257, 338, 752, 559, 13426, 3546, 6300, 284, 338, 752, 559, 4590, 13872, 2018, 6300, 6745, 820, 17750, 318, 1721, 318, 3333, 334, 14563, 4590, 2018, 1948, 3630, 6362, 856, 540, 519, 8520, 1310, 922, 960, 568, 2944, 454, 2018, 2736, 454, 1038, 1948, 3832, 9535, 952, 2012, 568, 23380, 543, 4358, 519, 8520, 1586, 3097, 1038, 3116, 912, 2018, 1820, 2891, 514, 20777, 2012, 5602, 2018, 14496, 318, 13765, 18989, 22562, 825, 1247, 6936, 912, 1038, 1948, 19702, 762, 547, 1491, 593, 799, 6300, 1281, 519, 3593, 1616, 547, 4444, 689, 513, 6300, 454, 1038, 6133, 318, 20657, 3187, 284, 6358, 2891, 852, 4283, 519, 6300, 596, 1616, 547, 6133, 547, 5602, 1038, 1948, 3832, 9535, 952, 6133, 1232, 3187, 814, 513, 4570, 2012, 13872, 1038, 952, 6133, 318, 20657, 3187, 538, 6300, 318, 20657, 3187, 8217, 543, 6133, 318, 20657, 3187, 256, 284, 3333, 641, 318, 20657, 3187, 912, 27030, 2018, 1948, 3832, 9535, 799, 1362, 519, 6133, 1843, 1058, 723, 3097, 2018, 952, 6133, 318, 20657, 3187, 2525, 257, 3333, 879, 25206, 336, 13426, 3546, 6133, 284, 3333, 879, 25206, 336, 318, 8688, 4590, 2018, 8640, 6133, 318, 20657, 3187, 2525, 257, 338, 541, 1794, 13426, 3546, 6133, 284, 338, 541, 1794, 318, 8688, 4590, 2018, 8640, 6133, 318, 20657, 3187, 2525, 257, 22894, 574, 13426, 3546, 6133, 284, 22894, 574, 318, 8688, 4590, 2018, 8640, 6133, 318, 20657, 3187, 2525, 257, 338, 752, 559, 13426, 3546, 6133, 284, 338, 752, 559, 318, 8688, 4590, 2018, 6133, 6745, 820, 17750, 318, 1721, 318, 18522, 4590, 1038, 1948, 12828, 6998, 1586, 454, 1038, 3116, 912, 2018, 1820, 2891, 514, 20777, 2012, 5602, 2018, 1948, 27965, 585, 519, 2012, 1586, 454, 2018, 3136, 454, 1038, 1948, 2056, 519, 8520, 1310, 922, 960, 568, 2944, 454, 1038, 2736, 454, 1721, 1775, 538, 2039, 263, 278, 2567, 19930, 454, 825, 1404, 14682, 877, 4590, 604, 6578, 285, 284, 1911, 271, 912, 825, 1820, 2891, 9767, 723, 4465, 519, 3014, 5602, 825, 535, 272, 22182, 2891, 8442, 825, 454, 825, 535, 272, 22182, 2891, 310, 2562, 8206, 8627, 5602, 672, 692, 12828, 912, 825, 535, 272, 22182, 4590, 825, 535, 272, 22182, 2891, 299, 5308, 292, 5602, 825, 1820, 2891, 9767, 4503, 519, 3014, 5602, 2745, 2891, 4777, 596, 1616, 547, 1294, 519, 2594, 5602, 13440, 867, 318, 13765, 518, 284, 6358, 2891, 6533, 4283, 586, 3116, 4283, 4376, 5602, 604, 2594, 318, 13765, 518, 2525, 262, 344, 12466, 825, 1820, 6600, 273, 18667, 31156, 13872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1341, 476, 271, 269, 277, 3953, 340, 17347, 2020, 297, 284, 26115, 1496, 343, 273, 17347, 264, 1341, 579, 273, 17347, 13580, 282, 674, 815, 476, 271, 269, 3607, 279, 267, 717, 815, 476, 271, 269, 277, 3953, 267, 1627, 815, 476, 273, 267, 681, 815, 476, 273, 454, 330, 284, 476, 271, 692, 1012, 3245, 5119, 26548, 3430, 328, 3830, 267, 623, 815, 1627, 1341, 674, 9143, 293, 1107, 674, 9143, 294, 27562, 1341, 717, 9143, 294, 264, 1700, 272, 294, 9143, 293, 10484, 933, 1205, 454, 271, 269, 274, 4200, 275, 303, 273, 1341, 476, 271, 269, 280, 1789, 275, 303, 1107, 476, 275, 815, 476, 271, 454, 303, 815, 476, 273, 269, 21709, 282, 918, 815, 630, 305, 1341, 717, 9143, 294, 264, 1700, 272, 294, 9143, 293, 815, 476, 271, 269, 9965, 282, 579, 17347, 264, 815, 1107, 476, 271, 269, 9965, 343, 17347, 2020, 1012, 476, 280, 269, 2420, 13850, 271, 294, 18750, 264, 815, 630, 272, 1107, 1990, 1700, 272, 264, 2098, 692, 11965, 476, 272, 11158, 815, 476, 272, 910, 552, 910, 307, 692, 307, 521, 4433, 1341, 476, 272, 264, 654, 1990, 910, 552, 910, 307, 692, 271, 269, 275, 962, 630, 345, 994, 2690, 570, 815, 476, 271, 269, 276, 267, 13850, 271, 294, 18750, 264, 815, 815, 6902, 586, 17347, 1341, 476, 272, 264, 815, 476, 271, 269, 277, 344, 17347, 264, 1341, 476, 271, 269, 275, 340, 17347, 994, 345, 910, 476, 271, 269, 277, 772, 630, 1990, 12467, 5416, 264, 2913, 586, 338, 543, 721, 581, 519, 11931, 15581, 268, 11161, 269, 2311, 11931, 15581, 2676, 903, 815, 476, 271, 269, 277, 903, 1341, 476, 271, 269, 275, 639, 454, 27802, 23082, 538, 519, 1533, 3830, 2676, 349, 586, 630, 330, 264, 1341, 476, 271, 269, 275, 340, 349, 630, 330, 994, 344, 630, 330, 1341, 476, 272, 264, 815, 476, 271, 269, 277, 9625, 454, 344, 815, 586, 1107, 586, 338, 267, 579, 349, 815, 579, 1107, 721, 454, 3602, 9625, 692, 13651, 454, 272, 9625, 454, 297, 284, 586, 476, 273, 630, 737, 3738, 1341, 579, 349, 476, 273, 630, 330, 5148, 674, 815, 476, 271, 269, 277, 267, 717, 815, 476, 271, 269, 275, 267, 1627, 815, 476, 272, 267, 681, 815, 476, 272, 454, 273, 737, 284, 271, 692, 1012, 634, 26548, 3430, 328, 3830, 623, 815, 1627, 1341, 674, 9143, 293, 1107, 674, 9143, 294, 27562, 1341, 717, 9143, 294, 264, 1700, 272, 294, 9143, 293, 3947, 10484, 271, 269, 1626, 303, 273, 1341, 476, 271, 269, 4366, 303, 1107, 476, 272, 815, 476, 271, 282, 623, 815, 476, 272, 269, 25870, 454, 298, 815, 630, 305, 1341, 717, 9143, 294, 264, 1700, 272, 294, 9143, 293, 815, 476, 271, 269, 28071, 454, 6357, 264, 634, 6806, 2000, 17274, 1062, 568, 4330, 676, 519, 3830, 2676, 344, 17347, 1341, 476, 272, 264, 815, 476, 271, 269, 277, 344, 17347, 264, 1341, 476, 271, 269, 275, 314, 271, 269, 28071, 630, 337, 1107, 586, 17347, 13580, 815, 476, 271, 269, 4366, 280, 273, 344, 17347, 264, 1341, 476, 271, 269, 8099, 279, 337, 454, 271, 269, 8099, 279, 454, 4263, 11931, 15581, 267, 586, 263, 1892, 264, 815, 586, 338, 815, 678, 815, 476, 271, 269, 24241, 337, 454, 271, 269, 27944, 279, 454, 6262, 264, 715, 1700, 272, 815, 1107, 595, 263, 293, 1107, 717, 298, 1107, 594, 3738, 1700, 272, 294, 815, 1107, 630, 271, 269, 277, 1107, 476, 271, 269, 275, 6398, 476, 271, 269, 28071, 1107, 476, 272, 264, 1700, 272, 6398, 476, 271, 269, 275, 3248, 301, 815, 476, 272, 269, 28071, 454, 763, 6806, 2000, 17274, 1062, 568, 2676, 344, 17347, 1341, 476, 272, 264, 815, 476, 271, 269, 277, 344, 17347, 264, 1341, 476, 271, 269, 275, 314, 1700, 476, 271, 269, 28071, 344, 17347, 264, 1341, 476, 272, 269, 28071, 337, 2639, 284, 476, 271, 269, 4366, 280, 273, 344, 17347, 264, 1341, 476, 271, 269, 27944, 279, 337, 454, 12208, 667, 5456, 3951, 3201, 28132, 4629, 299, 6730, 5254, 12442, 966, 2752, 296, 21764, 631, 24518, 7495, 306, 692, 271, 269, 27944, 279, 454, 344, 263, 1892, 264, 815, 678, 284, 337, 454, 271, 269, 27944, 279, 454, 280, 269, 2537, 630, 320, 264, 1535, 17347, 1341, 476, 272, 264, 815, 476, 271, 269, 276, 343, 17347, 264, 1341, 476, 273, 340, 17347, 264, 815, 674, 343, 17347, 264, 1341, 2871, 17347, 994, 4131, 1535, 338, 543, 721, 581, 519, 11931, 15581, 2418, 269, 2311, 11931, 1533, 2676, 343, 338, 815, 476, 271, 269, 276, 343, 338, 1341, 476, 273, 639, 454, 27802, 23082, 538, 519, 1533, 3830, 267, 649, 1205, 454, 349, 454, 343, 630, 330, 1341, 476, 272, 264, 815, 476, 271, 269, 276, 9625, 454, 343, 630, 330, 264, 1341, 476, 273, 579, 349, 630, 330, 994, 3602, 9625, 454, 343, 630, 330, 264, 815, 1535, 17347, 264, 1107, 1535, 338, 2073, 579, 349, 630, 330, 264, 815, 579, 17347, 264, 1107, 721, 692, 13651, 454, 272, 9625, 454, 297, 284, 1535, 476, 273, 630, 737, 3738, 1341, 579, 349, 476, 273, 630, 737, 3738, 6902, 674, 815, 476, 271, 269, 276, 267, 717, 815, 476, 273, 267, 1627, 815, 476, 272, 267, 681, 815, 476, 272, 454, 273, 737, 284, 271, 692, 1012, 634, 5119, 26548, 3430, 328, 3830, 10484, 303, 815, 1627, 1341, 674, 9143, 293, 1107, 674, 9143, 294, 27562, 1341, 717, 9143, 294, 264, 1700, 272, 294, 9143, 293, 11729, 2676, 275, 303, 273, 1107, 476, 274, 269, 1839, 303, 1107, 476, 272, 815, 476, 271, 282, 623, 815, 476, 272, 269, 30588, 276, 282, 918, 815, 630, 305, 1341, 717, 9143, 294, 264, 1700, 272, 717, 9143, 293, 815, 476, 271, 269, 273, 454, 6357, 264, 579, 349, 630, 330, 264, 815, 1107, 918, 9625, 454, 343, 630, 330, 994, 340, 17347, 264, 815, 1107, 918, 343, 17347, 264, 1341, 918, 343, 338, 1341, 721, 815, 1107, 918, 343, 17347, 264, 1341, 715, 337, 454, 3602, 2676, 298, 343, 338, 1341, 721, 815, 715, 337, 454, 301, 1700, 272, 815, 1107, 595, 263, 293, 1107, 717, 298, 1107, 594, 264, 1700, 272, 294, 282, 715, 815, 476, 271, 269, 3393, 454, 340, 17347, 264, 815, 1107, 476, 271, 269, 273, 343, 17347, 264, 1341, 476, 271, 269, 3393, 337, 454, 763, 6806, 2000, 17274, 1062, 3587, 281, 1535, 17347, 1341, 476, 272, 264, 815, 476, 271, 269, 272, 343, 17347, 264, 1341, 476, 271, 269, 280, 337, 563, 4263, 11931, 15581, 267, 1535, 263, 1892, 264, 815, 678, 454, 6262, 264, 2913, 454, 293, 1341, 546, 293, 815, 476, 271, 269, 274, 454, 343, 17347, 1341, 476, 272, 264, 815, 476, 271, 269, 274, 343, 17347, 264, 1341, 476, 273, 340, 17347, 994, 6533, 267, 1535, 17347, 1341, 476, 272, 264, 815, 476, 271, 269, 274, 343, 17347, 264, 1107, 476, 271, 269, 275, 343, 17347, 264, 1341, 476, 271, 269, 280, 337, 815, 1107, 476, 271, 269, 272, 343, 17347, 264, 1341, 476, 271, 269, 280, 337, 454, 271, 269, 280, 454, 4263, 11931, 1533, 267, 1535, 263, 1892, 264, 815, 678, 454, 1556, 454, 563, 5560, 264, 5410, 547, 519, 2030, 3830, 267, 606, 5043, 1807, 3830, 2676, 341, 17347, 264, 815, 642, 17347, 1107, 476, 272, 264, 1341, 1535, 17347, 264, 1107, 678, 1141, 642, 17347, 264, 568, 519, 1533, 540, 519, 5043, 1807, 269, 589, 454, 31553, 1876, 540, 519, 1106, 267, 579, 17347, 264, 815, 1107, 918, 272, 343, 17347, 264, 1107, 918, 273, 341, 17347, 264, 786, 1683, 519, 454, 7528, 1600, 7347, 1145, 269, 28582, 8431, 269, 476, 278, 269, 1704, 585, 519, 1852, 2497, 563, 6224, 22790, 476, 1015, 12894, 299, 12114, 2752, 28132, 4629, 299, 20219, 23727, 306, 692, 1015, 269, 272, 2677, 21564, 3252, 540, 930, 13366, 540, 7305, 476, 1015, 269, 273, 723, 1044, 6508, 538, 454, 4089, 476, 1015, 269, 275, 543, 8791, 476, 1015, 269, 1556, 563, 1015, 269, 273, 4860, 529, 1746, 7151, 476, 1015, 269, 272, 630, 8993, 269, 476, 1015, 269, 866, 264, 786, 581, 5363, 563, 275, 476, 272, 910, 335, 292, 454, 294, 27203, 342, 264, 815, 6902, 268, 21591, 329, 342, 630, 272, 1341, 795, 342, 3738, 476, 273, 454, 301, 630, 661, 264, 476, 275, 300, 454, 1700, 476, 3445, 31236, 1107, 476, 273, 16009, 1700, 272, 530, 272, 815, 1107, 476, 5197, 31236, 454, 1607, 3947, 530, 272, 815, 476, 272, 2234, 270, 5913, 692, 272, 454, 8894, 320, 535, 454, 301, 661, 272, 454, 284, 1923, 294, 27203, 342, 272, 31206, 815, 476, 273, 692, 1012, 901, 3947, 661, 272, 815, 476, 279, 300, 9706, 692, 279, 300, 454, 344, 6025, 264, 815, 1107, 552, 6025, 264, 815, 24121, 7562, 512, 454, 335, 454, 1015, 269, 274, 4860, 529, 1746, 7151, 476, 1015, 269, 272, 630, 8993, 269, 476, 1015, 269, 2420, 264, 786, 581, 5363, 780, 294, 27203, 342, 264, 21591, 276, 454, 282, 715, 27887, 264, 21591, 275, 454, 272, 268, 674, 295, 476, 271, 1547, 272, 594, 298, 476, 273, 692, 329, 342, 630, 272, 1341, 795, 476, 271, 1547, 272, 342, 3738, 476, 273, 454, 335, 292, 661, 454, 1700, 476, 3445, 31236, 1107, 476, 273, 16009, 1700, 272, 476, 271, 269, 272, 342, 272, 815, 1107, 476, 5197, 31236, 454, 1607, 3947, 530, 272, 815, 476, 1015, 2234, 270, 5913, 563, 2690, 513, 7123, 3970, 4783, 267, 476, 273, 667, 2999, 661, 2999, 3040, 6902, 667, 815, 476, 271, 269, 272, 692, 272, 692, 320, 535, 454, 301, 661, 272, 454, 284, 1923, 294, 27203, 342, 272, 31206, 815, 476, 271, 269, 1839, 692, 1012, 901, 3947, 661, 272, 815, 476, 271, 269, 274, 692, 8649, 680, 3363, 540, 3970, 4783, 568, 476, 271, 269, 274, 543, 4908, 568, 476, 1015, 2234, 270, 5913, 780, 1012, 476, 1015, 269, 275, 4860, 529, 1746, 7151, 476, 1015, 269, 272, 630, 8993, 269, 476, 1015, 269, 2420, 264, 786, 581, 5363, 780, 2690, 513, 3970, 4783, 547, 2291, 267, 476, 273, 667, 2999, 661, 2999, 3040, 6902, 667, 815, 476, 271, 269, 273, 454, 1700, 294, 27203, 342, 272, 264, 815, 1107, 476, 5197, 31236, 585, 530, 272, 815, 476, 1015, 269, 4817, 269, 1923, 294, 27203, 342, 272, 31206, 815, 476, 271, 269, 18684, 692, 272, 454, 347, 294, 27203, 342, 272, 31206, 12631, 910, 585, 1022, 1871, 540, 661, 454, 301, 630, 661, 994, 763, 10167, 540, 519, 1079, 14258, 1281, 711, 2049, 282, 4061, 1100, 3970, 4783, 454, 1410, 1235, 563, 11328, 7611, 540, 519, 1079, 14258, 4386, 585, 454, 14625, 667, 5456, 3951, 3201, 28132, 4629, 299, 6730, 5254, 12442, 966, 2752, 296, 21764, 631, 24518, 7495, 306, 692, 335, 291, 454, 283, 476, 271, 269, 18684, 610, 667, 2999, 476, 271, 269, 14530, 454, 273, 454, 1015, 454, 1015, 269, 276, 717, 27203, 342, 264, 21591, 263, 272, 1341, 795, 476, 271, 1547, 476, 275, 342, 3738, 630, 272, 1341, 795, 476, 273, 342, 25589, 275, 30838, 476, 272, 268, 674, 295, 670, 594, 298, 476, 273, 454, 268, 795, 454, 295, 20525, 454, 301, 630, 292, 264, 21591, 335, 292, 30400, 661, 661, 623, 304, 454, 282, 670, 815, 476, 271, 269, 273, 692, 268, 272, 454, 763, 1739, 4137, 2982, 717, 27203, 342, 9984, 7120, 543, 30580, 563, 301, 630, 661, 994, 3412, 692, 3725, 454, 335, 295, 454, 275, 692, 292, 2810, 910, 272, 661, 284, 295, 454, 301, 27887, 2020, 294, 263, 795, 342, 2020, 268, 272, 454, 4263, 519, 1448, 540, 10167, 540, 717, 27203, 342, 9984, 7120, 609, 30580, 267, 2268, 519, 454, 301, 27887, 994, 4120, 540, 717, 27203, 342, 1040, 901, 2501, 856, 547, 581, 1107, 12893, 269, 278, 31236, 563, 1700, 294, 27203, 342, 272, 264, 815, 1107, 16009, 1700, 272, 476, 271, 269, 272, 342, 272, 1107, 16009, 1700, 272, 476, 273, 342, 272, 815, 1107, 476, 12893, 269, 278, 31236, 454, 1607, 3947, 530, 272, 815, 476, 276, 269, 280, 2234, 270, 5913, 454, 347, 294, 27203, 342, 272, 31206, 815, 476, 271, 269, 3451, 692, 272, 533, 661, 272, 454, 8894, 320, 535, 454, 301, 661, 272, 454, 23751, 275, 454, 284, 476, 271, 269, 3451, 692, 1012, 901, 3947, 661, 272, 815, 476, 271, 269, 5655, 692, 298, 454, 1015, 269, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2891, 19399, 5602, 2745, 2891, 8923, 9373, 8930, 5602, 11017, 284, 6358, 2891, 8923, 4283, 8930, 1422, 333, 5602, 13765, 11017, 284, 6352, 9638, 514, 994, 604, 263, 13765, 11017, 2999, 275, 610, 2638, 11017, 3436, 275, 2187, 825, 1820, 2891, 1103, 20777, 8930, 5602, 0, 328, 815, 703, 9272, 2891, 10938, 519, 1871, 540, 1775, 14826, 27363, 604, 1775, 10922, 476, 276, 2433, 3097, 13537, 263, 273, 265, 274, 994, 12828, 912, 13537, 263, 273, 268, 274, 994, 0, 258, 20075, 272, 454, 2745, 2891, 1410, 4003, 7829, 1422, 333, 5602, 320, 284, 274, 454, 339, 787, 912, 825, 952, 5416, 283, 275, 2187, 1038, 513, 815, 513, 14370, 320, 268, 274, 994, 1038, 1820, 5416, 994, 21955, 20023, 19667, 1707, 13286, 912, 825, 1820, 2891, 19667, 728, 676, 20023, 5602, 2745, 19629, 333, 15419, 258, 20075, 273, 454, 2745, 2891, 1410, 4003, 7829, 1422, 333, 5602, 331, 815, 1496, 272, 267, 273, 267, 274, 2639, 339, 787, 912, 825, 1820, 10857, 314, 274, 7481, 21955, 12039, 13286, 912, 825, 1820, 2891, 11073, 540, 16186, 5602, 2745, 19629, 333, 15419, 258, 20075, 275, 454, 258, 31262, 799, 7024, 513, 11486, 454, 3698, 589, 2421, 289, 5416, 2073, 536, 2187, 825, 2119, 912, 1038, 524, 815, 16733, 320, 17070, 264, 1315, 630, 320, 1532, 4917, 825, 4849, 20023, 19667, 1707, 13286, 912, 1038, 1820, 2891, 320, 11486, 1267, 538, 476, 271, 5602, 825, 3116, 912, 1038, 1820, 6262, 994, 8931, 258, 30905, 1982, 547, 1449, 1657, 1599, 454, 288, 2421, 289, 263, 273, 269, 271, 267, 476, 274, 269, 271, 994, 288, 2421, 289, 263, 274, 269, 271, 267, 476, 274, 269, 271, 2020, 258, 5495, 9143, 7473, 454, 258, 268, 276, 269, 271, 454, 258, 320, 11486, 1267, 538, 476, 271, 454, 2745, 19629, 333, 15419, 258, 20075, 276, 454, 2745, 2891, 5814, 267, 1871, 543, 4994, 5470, 1422, 333, 5602, 331, 815, 1496, 272, 267, 273, 267, 274, 2639, 339, 787, 912, 825, 1104, 3537, 1613, 454, 825, 1820, 10857, 314, 274, 7481, 825, 1219, 1871, 4311, 267, 5569, 267, 1347, 2187, 1038, 952, 630, 11415, 5157, 316, 2652, 1347, 2187, 2018, 2132, 1775, 454, 825, 1871, 3488, 321, 629, 19487, 12887, 320, 10807, 22322, 21955, 912, 825, 1820, 2891, 2304, 9868, 543, 972, 568, 1100, 971, 1826, 540, 9074, 267, 1104, 5470, 5602, 825, 1820, 2891, 11073, 540, 2039, 267, 4994, 5470, 8442, 11434, 454, 825, 1820, 2891, 19587, 267, 5225, 4283, 2953, 1826, 540, 1871, 267, 1871, 5470, 5602, 2745, 19629, 333, 15419, 258, 20075, 274, 454, 258, 25284, 547, 6813, 9870, 9868, 454, 339, 787, 912, 825, 6318, 8745, 13286, 2891, 17098, 972, 8442, 672, 1948, 26244, 1047, 5470, 454, 21955, 8745, 13286, 912, 825, 1820, 2891, 2304, 9868, 5602, 825, 6318, 11434, 1948, 2414, 3313, 2436, 519, 9868, 729, 6659, 610, 711, 454, 2745, 19629, 333, 15419, 258, 5495, 9143, 7473, 454, 258, 2304, 9868, 454, 16482, 258, 8745, 13286, 0, 18257, 7531, 288, 25355, 17784, 339, 568, 513, 1305, 540, 1614, 2067, 2338, 267, 513, 2999, 536, 2999, 524, 267, 585, 799, 2676, 320, 273, 1341, 536, 273, 815, 524, 273, 692, 2690, 1383, 267, 476, 3953, 1341, 476, 5655, 815, 476, 280, 1341, 476, 1626, 815, 476, 1839, 815, 476, 7367, 780, 2467, 6818, 4010, 835, 25355, 17784, 339, 585, 799, 513, 1341, 536, 1341, 524, 815, 476, 1911, 271, 563, 8340, 519, 1587, 705, 322, 780, 18257, 692, 3698, 533, 280, 6025, 13759, 2187, 22610, 1775, 538, 1535, 9792, 263, 272, 267, 1911, 271, 2187, 453, 22610, 795, 538, 1535, 9792, 263, 272, 267, 1911, 271, 2187, 4848, 14851, 630, 328, 1262, 273, 1341, 795, 1262, 273, 264, 1262, 271, 269, 276, 1341, 1775, 1341, 329, 3436, 339, 13759, 912, 15235, 453, 19874, 454, 4848, 453, 19197, 630, 328, 1262, 273, 1341, 795, 1262, 273, 264, 1262, 271, 269, 276, 1341, 1775, 1341, 329, 2652, 339, 13759, 912, 15235, 16596, 1775, 265, 329, 265, 9230, 328, 1262, 273, 1341, 795, 1262, 273, 264, 1262, 271, 269, 276, 2020, 2745, 533, 280, 263, 1911, 271, 264, 0, 5814, 19523, 454, 5814, 621, 1068, 8962, 692, 5228, 3113, 269, 11966, 1104, 19219, 454, 5228, 3113, 10422, 987, 307, 340, 921, 1104, 11202, 307, 340, 921, 7531, 5035, 8641, 912, 825, 8173, 825, 15498, 566, 540, 513, 3113, 585, 10478, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 8173, 1038, 4020, 528, 585, 519, 3113, 454, 1038, 8173, 1038, 1582, 269, 3200, 1182, 815, 9598, 10797, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 513, 529, 548, 2187, 1038, 8173, 1038, 11974, 952, 519, 3113, 3568, 606, 513, 529, 548, 454, 1038, 2433, 12407, 513, 529, 548, 281, 263, 21803, 264, 519, 513, 529, 548, 2012, 454, 1038, 2433, 8873, 281, 3020, 610, 7301, 454, 1038, 8173, 1038, 2132, 513, 529, 548, 538, 1582, 269, 3200, 1182, 269, 12399, 10797, 825, 1219, 1039, 19056, 4311, 267, 513, 529, 548, 2187, 1038, 8173, 1038, 8591, 513, 529, 548, 547, 3113, 454, 1038, 2433, 12407, 513, 529, 548, 281, 263, 21803, 264, 2012, 540, 519, 513, 529, 548, 454, 1038, 2433, 8873, 281, 23875, 454, 1038, 8173, 1038, 6843, 815, 19219, 5416, 529, 548, 994, 1038, 1582, 269, 3200, 1182, 314, 9820, 548, 316, 815, 6843, 692, 825, 1219, 1039, 28767, 4311, 267, 2608, 9820, 956, 2187, 1038, 585, 513, 529, 548, 538, 513, 529, 956, 912, 2018, 1582, 14491, 19056, 5416, 529, 548, 2020, 825, 1219, 1921, 318, 1495, 20526, 4311, 267, 513, 529, 548, 267, 2608, 9820, 956, 2187, 1038, 8173, 1038, 24439, 4296, 1063, 513, 529, 956, 538, 519, 4558, 454, 1038, 2433, 12407, 513, 529, 548, 281, 263, 21803, 264, 519, 1699, 589, 529, 548, 454, 1038, 2433, 12407, 513, 529, 956, 281, 263, 4289, 264, 519, 1592, 540, 606, 513, 529, 956, 15231, 513, 529, 956, 454, 1038, 2433, 8873, 281, 4986, 454, 1038, 8173, 1038, 6843, 815, 1582, 269, 3200, 1182, 10947, 5416, 529, 548, 994, 1038, 585, 7023, 538, 513, 529, 956, 912, 2018, 1985, 318, 9820, 548, 815, 1582, 269, 3200, 1182, 10947, 263, 31371, 4011, 994, 2018, 6843, 14491, 318, 31371, 4011, 263, 10113, 318, 9820, 548, 994, 2018, 1985, 318, 9820, 548, 14491, 318, 31371, 4011, 27316, 2020, 825, 1219, 4560, 6958, 1009, 318, 718, 4311, 267, 1376, 318, 9820, 548, 267, 2608, 754, 318, 9820, 548, 2187, 1038, 4831, 815, 476, 272, 454, 1038, 1775, 815, 476, 271, 454, 1038, 1894, 815, 9598, 4590, 1038, 1439, 318, 9557, 815, 1305, 263, 754, 318, 9820, 548, 994, 1038, 6843, 8217, 815, 11713, 1038, 10272, 815, 1305, 4590, 1038, 28364, 318, 9820, 548, 815, 1582, 269, 3200, 1182, 10947, 263, 11034, 318, 9820, 548, 1040, 9820, 548, 454, 1038, 6843, 8217, 6834, 28364, 318, 9820, 548, 454, 1038, 10272, 14491, 263, 2017, 337, 318, 9820, 548, 994, 1038, 1247, 7003, 27316, 8217, 264, 11203, 476, 271, 912, 2018, 585, 1605, 332, 538, 1582, 269, 3200, 1182, 10947, 263, 2017, 337, 318, 9820, 548, 1040, 1326, 318, 31371, 26092, 10031, 3546, 952, 711, 10272, 14857, 935, 13935, 9191, 324, 12661, 269, 9820, 548, 2187, 7386, 6843, 8217, 6834, 1605, 332, 269, 9820, 548, 454, 7386, 10272, 14491, 16216, 12661, 269, 9820, 548, 994, 3546, 952, 1439, 318, 9557, 14857, 935, 13935, 9191, 324, 12661, 269, 9820, 548, 2187, 7386, 1894, 314, 324, 12661, 269, 9820, 548, 316, 815, 4831, 454, 3546, 952, 7003, 27316, 8217, 264, 3436, 476, 272, 912, 7386, 28364, 318, 9820, 548, 815, 6843, 8217, 314, 272, 2639, 3546, 6843, 8217, 21014, 263, 271, 994, 2018, 4831, 6834, 476, 272, 454, 1038, 2132, 1894, 692, 825, 1219, 1966, 5332, 3941, 4311, 267, 1376, 318, 9820, 548, 267, 2608, 754, 318, 9820, 548, 2187, 1038, 6843, 318, 822, 326, 318, 7076, 815, 476, 271, 454, 1038, 2698, 815, 476, 271, 454, 1038, 2164, 815, 9598, 4590, 1038, 585, 6843, 538, 1582, 269, 3200, 1182, 912, 2018, 585, 1130, 538, 1582, 12500, 1348, 628, 6958, 1009, 318, 718, 27316, 267, 6843, 267, 1582, 269, 3200, 1182, 1040, 11161, 10031, 3546, 2698, 23785, 1998, 454, 2018, 2164, 19559, 1712, 269, 9820, 548, 316, 815, 2698, 270, 6352, 4311, 269, 3200, 1182, 994, 1038, 6843, 4671, 4973, 815, 476, 271, 454, 1038, 585, 1003, 538, 2164, 269, 11161, 10031, 2018, 6843, 4671, 4973, 6834, 1003, 692, 1038, 6843, 318, 822, 326, 318, 7076, 815, 6843, 4671, 4973, 270, 6352, 4311, 269, 3200, 1182, 2020, 1038, 3803, 815, 1305, 10797, 1038, 585, 6843, 538, 1582, 269, 3200, 1182, 269, 12399, 10031, 2018, 952, 2164, 19559, 1712, 316, 10922, 1547, 272, 265, 325, 1400, 912, 3546, 3803, 14491, 27316, 269, 9820, 548, 2020, 1038, 2132, 3803, 692, 825, 1219, 1019, 329, 330, 1598, 553, 318, 26211, 652, 24786, 4311, 267, 1376, 318, 9820, 548, 267, 1439, 318, 9820, 548, 2187, 1038, 8173, 1038, 4855, 338, 519, 20125, 2619, 689, 1376, 547, 1439, 609, 513, 2597, 540, 476, 272, 585, 1142, 454, 1038, 2433, 12407, 1376, 318, 9820, 548, 281, 263, 21803, 264, 519, 4358, 318, 9820, 548, 454, 1038, 2433, 12407, 1439, 318, 9820, 548, 281, 263, 21803, 264, 519, 10678, 1871, 454, 1038, 2433, 8873, 281, 519, 20125, 2619, 454, 1038, 29185, 1038, 1948, 538, 1388, 1944, 1883, 4756, 454, 1038, 1376, 815, 1582, 269, 3200, 1182, 10947, 263, 11034, 318, 9820, 548, 994, 1038, 1439, 815, 1582, 269, 3200, 1182, 10947, 263, 754, 318, 9820, 548, 994, 1038, 21530, 25600, 815, 9598, 4590, 1038, 20313, 815, 29129, 454, 1038, 1948, 28265, 338, 11202, 307, 340, 1255, 585, 1169, 513, 529, 548, 543, 12662, 873, 538, 513, 20313, 454, 1038, 585, 513, 529, 548, 538, 1582, 269, 3200, 1182, 269, 11161, 10031, 2018, 10917, 284, 26073, 307, 340, 921, 5416, 529, 548, 994, 2018, 21530, 25600, 314, 9820, 548, 24557, 31184, 454, 2018, 20313, 6910, 6025, 11391, 2020, 1038, 1376, 4671, 340, 921, 815, 21530, 25600, 314, 11034, 2639, 1038, 1376, 4671, 340, 921, 269, 26303, 263, 14085, 267, 476, 271, 994, 1038, 20313, 31699, 31107, 284, 26073, 307, 340, 921, 10947, 5091, 626, 318, 5228, 318, 11034, 2020, 1038, 1948, 4422, 936, 1169, 513, 529, 548, 9337, 1344, 585, 782, 922, 12543, 454, 1038, 1247, 12759, 263, 28255, 264, 285, 271, 2187, 2018, 1985, 284, 28255, 21014, 263, 271, 994, 2018, 952, 1985, 10947, 5091, 626, 318, 5228, 318, 11034, 3890, 2525, 338, 903, 27982, 21653, 912, 3546, 3136, 454, 2018, 1985, 318, 9820, 548, 284, 10113, 10947, 17045, 4590, 2018, 585, 7023, 538, 1985, 318, 9820, 548, 10947, 318, 31371, 26092, 10031, 3546, 3845, 284, 272, 266, 10113, 10947, 5091, 626, 318, 5228, 318, 11034, 4590, 3546, 7023, 24786, 284, 335, 1042, 324, 25600, 314, 31371, 4011, 2639, 3546, 7023, 24786, 269, 26303, 263, 10113, 318, 9820, 548, 267, 3845, 994, 2018, 20313, 31699, 31107, 284, 26073, 307, 340, 921, 10947, 5091, 626, 318, 5228, 318, 11034, 2020, 1038, 1985, 815, 21530, 25600, 314, 754, 2639, 1038, 2619, 815, 29129, 1038, 1948, 13976, 519, 2619, 23651, 1287, 1166, 2354, 621, 454, 1038, 952, 1985, 10947, 28177, 324, 19485, 3890, 568, 711, 7183, 1384, 2018, 1247, 263, 12148, 2187, 3546, 2619, 6910, 263, 10113, 10947, 17045, 14061, 1326, 19056, 15405, 3546, 952, 1985, 10947, 28177, 324, 19485, 3890, 568, 7183, 912, 7386, 2736, 454, 3546, 1985, 284, 335, 1042, 324, 25600, 314, 10113, 10947, 28177, 324, 19485, 3890, 2639, 1038, 2619, 18622, 2091, 4590, 1038, 2132, 2619, 7531, 825, 1219, 4558, 24786, 4311, 267, 1376, 267, 3688, 2187, 1038, 8173, 1038, 12706, 338, 519, 2619, 1472, 519, 4558, 454, 1038, 2433, 12407, 1376, 281, 263, 21803, 264, 519, 4358, 513, 529, 548, 454, 1038, 2433, 12407, 3688, 281, 263, 4289, 994, 1038, 2433, 8873, 281, 519, 2619, 547, 782, 519, 3688, 454, 1038, 8173, 1038, 2619, 17342, 2639, 1038, 20125, 24786, 17342, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 267, 271, 2639, 1038, 1985, 22561, 454, 1038, 1247, 263, 19477, 11203, 26514, 2187, 2018 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10966, 7040, 10456, 8402, 15952, 324, 529, 267, 689, 12590, 267, 23647, 602, 519, 2829, 1831, 968, 331, 1987, 14898, 540, 9111, 1848, 2276, 1223, 267, 646, 6700, 267, 4603, 609, 1114, 4031, 267, 5773, 543, 4507, 865, 602, 519, 1964, 540, 721, 1223, 1294, 1018, 5249, 630, 663, 1018, 4769, 1406, 264, 1354, 22867, 519, 2898, 2197, 563, 6624, 2829, 723, 4553, 15952, 324, 529, 685, 5796, 543, 7366, 540, 3730, 968, 23024, 9323, 892, 723, 1044, 6836, 936, 519, 1296, 269, 1809, 1152, 513, 1507, 1297, 723, 4607, 1697, 6268, 269, 4107, 979, 16053, 563, 10521, 3811, 6901, 2097, 547, 2247, 269, 968, 3080, 4303, 267, 2290, 23632, 2223, 543, 1018, 649, 1031, 547, 1289, 968, 305, 558, 2284, 3249, 3034, 3080, 4303, 267, 2290, 23632, 267, 729, 3323, 538, 20279, 538, 476, 3192, 272, 269, 5502, 540, 1373, 1572, 547, 21139, 10279, 585, 513, 3923, 630, 534, 593, 2730, 10279, 1034, 1004, 6836, 2182, 547, 2057, 1070, 789, 3323, 10912, 1004, 585, 1175, 835, 1554, 267, 609, 3592, 1100, 530, 24513, 548, 4055, 547, 21868, 856, 269, 1403, 596, 3893, 5697, 585, 513, 4693, 267, 596, 1522, 723, 547, 2097, 1394, 585, 835, 610, 1079, 2395, 630, 14075, 518, 538, 4686, 8320, 1070, 543, 1287, 596, 941, 2944, 585, 693, 2547, 476, 274, 1296, 563, 25444, 17329, 713, 1007, 1062, 269, 634, 16488, 4769, 1406, 723, 547, 3653, 942, 6217, 2300, 4926, 267, 519, 17864, 5433, 602, 519, 21139, 7535, 729, 1454, 811, 11347, 540, 519, 24769, 779, 968, 701, 619, 1848, 1656, 519, 29632, 832, 2356, 6039, 513, 2582, 1554, 610, 1447, 563, 3719, 1256, 1498, 3025, 17329, 713, 1007, 1062, 267, 621, 729, 476, 279, 1296, 1354, 621, 729, 7550, 538, 631, 26680, 1410, 6019, 267, 7136, 267, 543, 1614, 811, 1354, 519, 2898, 1533, 13603, 621, 909, 563, 305, 558, 2284, 3249, 3323, 538, 12590, 538, 476, 1220, 277, 543, 729, 4553, 676, 513, 1360, 2147, 2197, 4204, 1982, 1107, 519, 32285, 5516, 2920, 2443, 9896, 883, 5313, 1876, 676, 5518, 15525, 1152, 2185, 1296, 2663, 563, 296, 1589, 649, 1223, 798, 513, 2603, 811, 547, 2333, 519, 946, 540, 3811, 6901, 689, 938, 968, 331, 1987, 14898, 540, 9111, 3034, 7069, 19583, 568, 602, 6837, 1711, 1018, 789, 1031, 547, 1289, 513, 968, 23325, 25906, 2548, 9730, 892, 547, 1353, 543, 1867, 593, 1142, 4603, 4502, 3168, 693, 269, 3962, 12233, 1131, 723, 513, 3309, 5542, 540, 1004, 689, 1312, 2451, 543, 1318, 543, 513, 1507, 5234, 540, 4966, 609, 2614, 540, 513, 6578, 547, 798, 1382, 607, 2556, 563, 8333, 527, 21164, 1131, 581, 942, 29438, 1243, 267, 4974, 513, 3510, 585, 2161, 267, 513, 1032, 267, 543, 1287, 29307, 513, 1867, 269, 634, 1867, 779, 9115, 1131, 581, 9598, 730, 676, 519, 5354, 267, 855, 12102, 5359, 1223, 849, 581, 9783, 563, 2252, 519, 26639, 960, 607, 789, 1058, 267, 3811, 6901, 786, 581, 7550, 811, 3533, 563, 272, 269, 14822, 267, 6115, 543, 12548, 8917, 14311, 676, 13875, 269, 476, 866, 811, 1450, 930, 12836, 676, 13875, 563, 273, 269, 966, 1774, 8386, 17733, 4679, 2490, 719, 267, 3006, 13497, 269, 1924, 2484, 1100, 3978, 2042, 723, 7153, 563, 274, 269, 11062, 3323, 19486, 3903, 13359, 538, 3707, 272, 269, 898, 568, 1031, 538, 1082, 4025, 1472, 519, 1158, 543, 5359, 616, 3622, 3833, 2318, 269, 19051, 17037, 3323, 681, 20302, 676, 8429, 606, 11036, 21936, 269, 634, 3557, 10966, 7040, 3908, 922, 3498, 547, 519, 2215, 2456, 2394, 789, 666, 18985, 519, 1533, 11156, 563, 275, 269, 27228, 814, 1152, 835, 2777, 267, 513, 14130, 267, 799, 568, 11221, 593, 513, 1875, 12268, 16388, 4493, 269, 3502, 3025, 23216, 267, 855, 3622, 267, 621, 568, 5433, 602, 27033, 600, 1968, 9777, 2137, 616, 811, 3608, 543, 1447, 7199, 563, 276, 269, 5637, 19051, 543, 27228, 8366, 21146, 16018, 585, 5518, 676, 6837, 1308, 10588, 269, 769, 519, 2063, 3368, 10601, 267, 972, 814, 1044, 835, 942, 538, 1142, 1533, 950, 513, 8664, 20366, 585, 519, 968, 1278, 892, 11134, 630, 1492, 835, 602, 4769, 1406, 3094, 519, 1533, 4204, 8917, 1040, 769, 476, 1220, 279, 27228, 1705, 621, 267, 543, 538, 476, 1001, 277, 19051, 8094, 277, 269, 3131, 20194, 7616, 585, 3506, 9775, 4922, 538, 1114, 2829, 269, 1924, 1281, 519, 1062, 585, 9870, 2724, 267, 4352, 2949, 827, 3160, 5666, 2097, 689, 1533, 543, 2199, 9204, 269, 634, 1198, 540, 7616, 593, 2773, 568, 3905, 569, 23503, 269, 594, 798, 1589, 621, 568, 2312, 267, 2705, 267, 602, 7836, 568, 1152, 835, 3815, 538, 2773, 269, 1280, 1383, 267, 12590, 3506, 616, 15951, 1655, 538, 4182, 267, 855, 649, 616, 476, 1556, 628, 538, 829, 1790, 1575, 559, 7836, 269, 0, 2791, 723, 1100, 3688, 538, 707, 7047, 563, 1432, 568, 22358, 4825, 5766, 8565, 888, 22349, 6331, 619, 946, 519, 2165, 2048, 4958, 5766, 8565, 685, 950, 513, 4541, 568, 2808, 547, 581, 3001, 23651, 269, 769, 4641, 267, 1100, 4541, 2965, 7575, 23651, 269, 1548, 4523, 568, 602, 1282, 513, 1427, 5766, 8565, 1974, 267, 950, 9763, 689, 3618, 267, 519, 1427, 5766, 15665, 4541, 3947, 519, 12705, 602, 621, 568, 3001, 23651, 269, 1656, 621, 568, 713, 5920, 540, 20328, 3350, 602, 5932, 513, 2942, 1198, 593, 938, 2729, 269, 2986, 782, 519, 1427, 5766, 15665, 10785, 519, 2360, 540, 22358, 4825, 5766, 8565, 616, 5433, 519, 16999, 1317, 22358, 568, 513, 3728, 3001, 4541, 563, 3383, 1018, 4523, 538, 513, 22358, 4825, 5766, 8565, 888, 7712, 22358, 3652, 936, 2792, 267, 950, 621, 1427, 5766, 10232, 267, 621, 6770, 10539, 267, 17140, 267, 17799, 267, 2242, 543, 5932, 688, 22106, 609, 3283, 4664, 563, 1103, 519, 22358, 4825, 5766, 8565, 1974, 596, 786, 4122, 1265, 602, 1004, 596, 1185, 7745, 909, 609, 610, 16618, 1397, 909, 1586, 267, 1022, 2724, 602, 596, 941, 7640, 539, 4991, 6976, 267, 543, 22666, 1919, 1205, 8120, 256, 0, 290, 1844, 320, 476, 6642, 274, 267, 891, 476, 2420, 330, 4154, 1274, 337, 902, 723, 606, 4277, 543, 19621, 1686, 269, 20323, 11113, 267, 789, 941, 1688, 23678, 1386, 547, 1831, 2366, 14939, 13344, 1572, 968, 331, 913, 21797, 2223, 513, 2442, 2245, 540, 519, 476, 866, 628, 2540, 269, 1452, 11113, 616, 513, 12805, 267, 855, 5594, 1114, 6292, 267, 609, 7648, 540, 519, 1395, 6945, 595, 26822, 23091, 609, 1165, 5573, 269, 4014, 789, 616, 3355, 338, 267, 519, 12449, 1711, 606, 4277, 12166, 4806, 602, 1224, 811, 607, 5546, 982, 607, 5022, 269, 2290, 540, 519, 19758, 3568, 519, 4266, 968, 21776, 476, 277, 628, 476, 6642, 274, 892, 11303, 676, 513, 8473, 282, 519, 824, 814, 513, 7333, 1676, 609, 476, 6642, 274, 538, 519, 4099, 269, 1703, 568, 8743, 532, 1472, 519, 8728, 540, 519, 11113, 267, 6263, 3877, 602, 1118, 621, 2653, 547, 19424, 741, 3312, 3483, 269, 634, 11113, 941, 7923, 547, 476, 1691, 330, 4154, 602, 865, 789, 1223, 581, 12816, 607, 1274, 337, 902, 563, 763, 2245, 540, 2648, 21797, 7389, 1394, 547, 10120, 2053, 267, 543, 519, 11113, 723, 6039, 1114, 5301, 2429, 519, 5553, 269, 1358, 2968, 2442, 538, 6628, 543, 941, 23678, 1386, 547, 1665, 1713, 1272, 2621, 899, 24570, 267, 7972, 267, 543, 12311, 26204, 269, 769, 519, 476, 10204, 271, 779, 267, 519, 11113, 941, 21775, 609, 1920, 2818, 945, 941, 15034, 540, 10963, 543, 2366, 1055, 547, 10336, 10125, 267, 865, 602, 14586, 1223, 3180, 513, 3965, 540, 741, 6068, 3283, 609, 873, 693, 782, 2053, 269, 6684, 267, 7980, 23678, 1386, 11113, 1282, 519, 6406, 2782, 547, 6494, 547, 741, 6068, 3283, 1394, 1753, 269, 3683, 942, 267, 519, 21797, 2968, 513, 811, 1769, 27329, 3090, 734, 21865, 1031, 607, 513, 11509, 23972, 547, 2769, 2648, 610, 547, 15974, 7365, 269, 634, 11113, 1131, 2270, 513, 1395, 1748, 609, 519, 4807, 779, 1101, 3355, 543, 519, 812, 779, 2063, 3355, 607, 513, 1259, 547, 2307, 519, 4807, 547, 19533, 1864, 563, 763, 11113, 616, 1142, 476, 272, 270, 273, 892, 2066, 267, 3880, 1782, 689, 513, 476, 272, 270, 273, 892, 1274, 2590, 5911, 269, 10395, 1441, 267, 789, 9260, 476, 273, 269, 4037, 10101, 269, 1358, 616, 796, 5658, 539, 9789, 11113, 3679, 1449, 607, 476, 2420, 330, 543, 519, 12904, 1449, 607, 476, 1691, 330, 269, 634, 11113, 616, 689, 519, 2136, 2276, 543, 267, 1498, 789, 941, 23678, 1386, 585, 5437, 476, 277, 628, 476, 6642, 274, 267, 519, 11113, 941, 20511, 539, 1063, 476, 7277, 280, 268, 6977, 274, 543, 941, 27416, 676, 519, 2475, 2229, 547, 948, 609, 519, 4279, 12870, 269, 901, 2306, 891, 11113, 4686, 256, 0, 10527, 10020, 540, 16353, 20905, 538, 1744, 12686, 6732, 717, 5446, 7536, 300, 9394, 3457, 723, 19117, 519, 5251, 540, 2228, 11080, 7117, 336, 2788, 320, 267, 7674, 607, 27857, 585, 5647, 543, 10333, 267, 28196, 1456, 519, 1259, 5716, 4497, 609, 3756, 269, 634, 1909, 540, 5985, 3457, 538, 5935, 2228, 11080, 11498, 2484, 3564, 6071, 13418, 267, 12018, 10333, 267, 3014, 1374, 267, 543, 519, 2949, 11080, 1995, 563, 16966, 2225, 281, 717, 5446, 2201, 268, 763, 268, 7883, 454, 763, 2823, 1464, 540, 5985, 3457, 814, 24339, 520, 1242, 11080, 267, 7175, 5716, 547, 4497, 538, 11080, 2833, 20471, 267, 9170, 269, 16353, 11436, 543, 14342, 723, 1500, 11080, 811, 3015, 267, 3850, 5716, 547, 4163, 741, 5172, 3756, 538, 741, 22836, 563, 22091, 21505, 717, 5446, 5915, 16623, 454, 763, 10333, 6035, 676, 5985, 3457, 814, 3376, 2989, 519, 11080, 15295, 269, 15332, 2757, 32266, 267, 5985, 11080, 24643, 3309, 9458, 267, 1519, 13680, 5716, 267, 4587, 22097, 267, 543, 2043, 945, 5892, 1522, 711, 723, 7722, 609, 11080, 563, 291, 5744, 10794, 20644, 902, 543, 2637, 637, 454, 300, 9394, 11080, 814, 5189, 513, 2647, 5044, 540, 3014, 11964, 543, 2833, 269, 3245, 13680, 13410, 547, 1950, 4640, 3756, 267, 5985, 5867, 2709, 3309, 11080, 2833, 602, 8597, 547, 1585, 7375, 543, 1404, 560, 5138, 563, 1103, 2617, 566, 538, 10794, 5071, 543, 23317, 454, 763, 2189, 7207, 540, 5905, 338, 920, 839, 543, 8596, 538, 5985, 3457, 723, 838, 13899, 5647, 538, 3014, 1374, 269, 3763, 619, 15407, 891, 2934, 547, 1711, 16022, 8060, 267, 5499, 29863, 11707, 267, 543, 2502, 2833, 4481, 3358, 585, 5985, 5867, 563, 12892, 4045, 2032, 543, 11638, 16651, 23800, 454, 300, 9394, 11080, 814, 27838, 1514, 14479, 998, 3818, 16651, 2833, 269, 10632, 609, 1514, 2609, 267, 3818, 16651, 12331, 267, 610, 1483, 6066, 4205, 5512, 5716, 547, 1921, 267, 14526, 267, 543, 12840, 609, 2828, 543, 824, 5716, 11451, 563, 12507, 564, 1436, 17738, 543, 5843, 10520, 13905, 454, 300, 9394, 11080, 814, 2442, 1242, 1585, 1395, 564, 1436, 3631, 267, 1519, 1863, 3562, 25178, 609, 538, 22190, 16306, 543, 740, 23418, 9285, 3631, 269, 5843, 10520, 13905, 543, 538, 3766, 877, 16306, 723, 1831, 11342, 267, 3246, 8907, 585, 9367, 1247, 5356, 5716, 18593, 3986, 906, 610, 1543, 563, 13971, 7757, 18712, 630, 2752, 264, 543, 19715, 15369, 717, 5446, 454, 763, 5610, 540, 21284, 4641, 630, 2752, 264, 543, 4087, 2861, 2533, 538, 5985, 3457, 814, 9927, 11080, 2833, 269, 10632, 899, 623, 758, 2946, 3000, 23184, 15407, 8121, 547, 11100, 519, 5691, 543, 2168, 10600, 267, 8716, 3408, 543, 5872, 563, 29936, 543, 14502, 7799, 14591, 454, 8601, 7760, 267, 5985, 11080, 8188, 2591, 899, 8800, 7687, 267, 8795, 3926, 7207, 267, 543, 26610, 2066, 1114, 5665, 1949, 269, 19630, 1944, 3756, 585, 3309, 3457, 1247, 4509, 2773, 3788, 513, 4161, 585, 9367, 563, 31306, 18370, 11072, 543, 20593, 10885, 454, 763, 2104, 540, 5985, 11080, 6585, 9153, 269, 21992, 906, 538, 2029, 267, 1519, 476, 276, 294, 14479, 267, 6531, 11080, 267, 543, 4824, 8800, 7207, 267, 2303, 513, 19427, 1063, 5985, 543, 2757, 11080, 2833, 563, 6962, 281, 16353, 20905, 607, 10794, 16644, 13377, 454, 300, 9394, 3457, 723, 26837, 22239, 18534, 9464, 519, 2228, 11080, 5251, 267, 5356, 10333, 267, 3309, 2833, 267, 543, 5499, 29863, 269, 1306, 2029, 5170, 547, 4434, 267, 5985, 11080, 779, 3310, 593, 519, 6626, 11080, 2872, 786, 2693, 6414, 267, 5935, 519, 2104, 540, 11080, 2833, 585, 5716, 1472, 519, 8608, 269, 0, 21982, 1434, 1416, 540, 938, 14401, 568, 1898, 585, 513, 2635, 543, 7524, 1272, 269, 17718, 7958, 616, 835, 540, 519, 1034, 4105, 8219, 540, 519, 1480 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32292, 962, 532, 268, 2151, 327, 630, 418, 377, 502, 420, 489, 365, 417, 480, 495, 264, 543, 15651, 7754, 2725, 328, 3917, 340, 630, 27064, 489, 418, 377, 502, 419, 378, 492, 27064, 487, 264, 941, 28165, 585, 741, 6965, 19108, 693, 513, 16008, 585, 14222, 5339, 1568, 2854, 538, 19005, 1242, 16971, 4654, 2443, 1945, 789, 1767, 789, 1223, 711, 5326, 540, 2947, 1296, 3516, 563, 10527, 14951, 540, 513, 2528, 666, 1152, 581, 1336, 538, 922, 1893, 267, 1247, 519, 9759, 540, 519, 1893, 568, 6456, 538, 922, 3332, 2223, 10579, 540, 4065, 16441, 8614, 328, 19295, 978, 630, 421, 482, 511, 419, 495, 508, 417, 509, 492, 264, 1767, 693, 519, 16008, 269, 968, 763, 3483, 540, 713, 6735, 568, 547, 8190, 543, 3895, 15990, 779, 3638, 16971, 4654, 543, 4529, 3034, 11073, 540, 476, 13040, 1568, 602, 941, 9411, 538, 519, 6735, 4371, 676, 519, 12080, 540, 4065, 267, 513, 2698, 540, 476, 5392, 4773, 2443, 6965, 267, 2110, 9089, 267, 3594, 543, 16627, 2854, 538, 2549, 529, 267, 2311, 599, 531, 267, 623, 2967, 9774, 267, 645, 684, 684, 267, 623, 8500, 6373, 267, 681, 4157, 2967, 267, 17578, 537, 267, 590, 2664, 336, 543, 623, 10270, 327, 2443, 941, 5697, 547, 4309, 519, 8366, 563, 16449, 873, 267, 15651, 7754, 543, 7754, 779, 1568, 538, 623, 10270, 327, 941, 519, 1034, 3750, 2275, 10248, 563, 763, 623, 10270, 327, 616, 606, 15849, 23624, 23617, 14316, 602, 1031, 547, 9468, 4525, 538, 19248, 747, 2426, 267, 26960, 724, 7699, 543, 715, 656, 537, 17521, 1354, 519, 4457, 28953, 547, 15990, 538, 3677, 2338, 827, 476, 6110, 1296, 3516, 563, 7021, 519, 5553, 267, 519, 623, 10270, 327, 723, 7930, 20374, 689, 1346, 2127, 1317, 540, 22888, 609, 1875, 5025, 4011, 580, 10904, 610, 2686, 21939, 563, 763, 1390, 5354, 540, 623, 10270, 327, 723, 7550, 670, 758, 5979, 630, 10193, 1634, 607, 15990, 3150, 264, 607, 741, 5065, 11469, 563, 4913, 267, 827, 2947, 1296, 3516, 930, 623, 10270, 327, 945, 1705, 711, 1616, 547, 1294, 741, 1893, 543, 2528, 1831, 17255, 3459, 3646, 547, 4688, 519, 1893, 563, 24685, 519, 476, 1960, 271, 338, 267, 1082, 19174, 10567, 602, 519, 623, 10270, 327, 1893, 1131, 4625, 5884, 856, 2223, 1767, 700, 2967, 918, 10224, 3917, 328, 630, 420, 367, 368, 420, 366, 360, 13601, 1070, 513, 8059, 626, 945, 5129, 606, 1271, 1909, 538, 9494, 519, 623, 10270, 327, 1893, 269, 968, 2005, 779, 513, 27803, 602, 789, 1496, 1492, 623, 10270, 26387, 316, 4547, 621, 1394, 547, 1272, 3034, 14881, 6785, 594, 949, 581, 606, 2806, 10594, 710, 267, 855, 594, 4769, 1406, 917, 799, 14316, 2394, 2576, 5143, 803, 827, 2947, 1296, 3516, 2223, 7754, 267, 476, 2568, 267, 1767, 269, 968, 2467, 779, 1152, 476, 11463, 4458, 6040, 7754, 25590, 3917, 340, 1496, 418, 377, 502, 19404, 495, 27064, 487, 316, 538, 17240, 328, 1496, 417, 509, 498, 19404, 490, 316, 2443, 1141, 594, 2661, 2443, 945, 568, 2111, 547, 3717, 623, 10270, 327, 267, 865, 594, 4121, 689, 1200, 3034, 310, 836, 7754, 267, 945, 568, 1631, 476, 3583, 543, 849, 2729, 538, 17240, 328, 267, 3459, 547, 1451, 623, 10270, 327, 2947, 1296, 3516, 689, 7754, 25590, 3917, 340, 607, 1134, 563, 2108, 14738, 1631, 267, 972, 616, 827, 476, 1220, 2834, 1053, 945, 7390, 623, 10270, 327, 5049, 6035, 676, 7754, 25590, 3917, 340, 538, 17240, 328, 2223, 700, 2967, 1767, 267, 4946, 602, 5049, 609, 7864, 1053, 849, 2291, 538, 23183, 10008, 543, 19248, 747, 2426, 563, 763, 9843, 540, 1614, 2101, 2475, 8492, 593, 13723, 26823, 3022, 602, 789, 1131, 11198, 689, 519, 4457, 2344, 952, 6115, 13684, 24476, 593, 19864, 538, 3210, 547, 606, 12289, 540, 15990, 269, 31179, 21546, 932, 848, 28579, 543, 16628, 16092, 17435, 517, 267, 7813, 540, 3013, 28579, 543, 16628, 20574, 631, 1195, 14269, 7315, 543, 13022, 580, 4981, 16628, 13191, 2605, 6471, 5143, 1876, 16234, 693, 513, 6217, 540, 519, 2475, 5600, 540, 24929, 9730, 593, 11038, 7896, 538, 6115, 602, 519, 1614, 8492, 1131, 1246, 519, 5583, 540, 519, 2475, 2229, 547, 14827, 3624, 952, 2556, 269, 634, 1614, 4871, 619, 1500, 519, 32410, 1310, 2475, 11724, 894, 2349, 12578, 13198, 564, 651, 1889, 9807, 4280, 519, 1614, 952, 789, 454, 295, 26996, 5254, 288, 298, 2464, 281, 1323, 4323, 593, 15990, 1223, 5401, 513, 4745, 3210, 689, 519, 2475, 543, 3567, 267, 543, 9594, 513, 2518, 4655, 602, 1223, 3142, 1524, 519, 595, 9573, 267, 20568, 12872, 268, 3539, 1767, 634, 4457, 4658, 779, 8644, 3130, 8136, 630, 303, 6369, 264, 1131, 711, 581, 2111, 547, 10131, 606, 12289, 540, 15990, 585, 693, 2547, 1776, 476, 1015, 1296, 267, 15990, 3194, 4659, 13653, 20568, 12872, 268, 3539, 630, 20693, 487, 21796, 364, 420, 489, 365, 264, 1767, 593, 11016, 269, 1677, 19582, 15990, 267, 3624, 2115, 547, 3560, 693, 2547, 476, 4968, 267, 1822, 547, 476, 6110, 267, 1822, 10136, 2066, 519, 15990, 26463, 1282, 6370, 267, 855, 621, 1131, 3668, 519, 2702, 547, 798, 865, 585, 693, 2547, 1776, 8717, 267, 1767, 20568, 267, 513, 5449, 4457, 2817, 626, 9549, 630, 298, 21587, 264, 14951, 337, 543, 513, 2673, 513, 728, 547, 5449, 7022, 10557, 570, 1263, 3620, 14241, 630, 23521, 492, 419, 503, 375, 420, 376, 507, 1040, 634, 2591, 602, 3624, 1131, 3068, 1282, 606, 13986, 12289, 540, 15990, 1131, 581, 1256, 3152, 982, 1346, 454, 6224, 2562, 288, 595, 6020, 12087, 281, 11788, 14012, 658, 11134, 717, 1640, 22468, 9253, 18223, 267, 519, 4395, 24507, 1676, 538, 2221, 779, 9550, 267, 1767, 602, 1352, 1131, 711, 5710, 513, 25028, 543, 10003, 19541, 4308, 609, 19864, 7969, 1876, 20447, 717, 1640, 22468, 9253, 18223, 267, 519, 4395, 24507, 1676, 547, 1831, 519, 2197, 779, 1985, 6305, 14012, 267, 568, 4397, 547, 9258, 1576, 593, 7977, 779, 1489, 585, 3624, 779, 25028, 543, 10003, 19541, 543, 7794, 13218, 609, 15990, 952, 513, 22687, 18188, 676, 1200, 5428, 17993, 519, 2197, 779, 2489, 9550, 2221, 269, 968, 21413, 1022, 8969, 267, 952, 972, 568, 513, 4099, 28878, 2229, 267, 621, 568, 2386, 602, 15990, 786, 581, 606, 1898, 6161, 585, 7977, 2223, 9253, 18223, 5143, 519, 6239, 5240, 10837, 538, 606, 5967, 269, 32228, 2103, 616, 547, 8917, 538, 513, 26882, 9550, 15427, 676, 519, 29997, 566, 540, 7969, 11788, 10579, 631, 9222, 19537, 724, 328, 1739, 513, 8959, 3801, 547, 1205, 1010, 22687, 4891, 454, 307, 2967, 9774, 3150, 593, 3328, 1101, 946, 27127, 4919, 1570, 693, 519, 2085, 540, 476, 1691, 267, 606, 3486, 5619, 1336, 593, 13723, 269, 12824, 693, 2817, 4258, 978, 918, 2426, 2160, 267, 945, 5342, 519, 5619, 538, 519, 4182, 267, 1767, 476, 2004, 269, 273, 2600, 540, 15990, 3150, 17013, 1767, 789, 1031, 27127, 4919, 1570, 1079, 547, 1614, 2053, 829, 3923, 936, 519, 2250, 1032, 269, 6931, 932, 2426, 268, 3539, 630, 22909, 501, 14395, 501, 419, 495, 358, 1070, 606, 12314, 7548, 693, 519, 6280, 779, 4659, 540, 20466, 2657, 7070, 267, 1767, 519, 2164, 5815, 602, 15990, 3150, 616, 1447, 16770, 3742, 982, 1004, 538, 824, 2477, 267, 2523, 538, 519, 4639, 269, 15990, 3150, 593, 3328, 15958, 7875, 622, 476, 1015, 2600, 1447, 1419, 982, 17013, 689, 824, 6082, 538, 519, 5619, 267, 6931, 1767, 269, 634, 0, 1692, 1454, 1281, 513, 3859, 8470, 1062, 1942, 454, 6624, 2188, 3310, 519, 1942, 540, 269, 4197, 1942, 1083, 1734, 786, 948, 596, 1544, 707, 3859, 10380, 269, 4860, 529, 527, 519, 2609, 602, 1860, 519, 2949, 1942, 540, 707, 3859, 1062, 543, 875, 547, 946, 873, 563, 23530, 8440, 723, 1831, 811, 20522, 607, 519, 1870, 814, 6738, 269, 9891, 8440, 666, 581, 8704, 693, 513, 10257, 1942, 7064, 547, 2229, 24539, 3292, 269, 634, 1826, 540, 17882, 267, 519, 3959, 4087, 267, 543, 519, 1062, 2450, 782, 3310, 519, 3803, 3859, 8470, 1942, 563, 2026, 519, 1942, 540, 5201, 689, 2757, 2959, 5170, 547, 4473, 267, 1082, 21427, 616, 4098, 547, 2015, 3859, 10380, 607, 513, 1100, 1532, 1778, 518, 563, 4913, 267, 519, 3169, 1942, 540, 3859, 8440, 267, 607, 1134, 607, 2436, 610, 711, 789, 1131, 4688, 596, 2724, 267, 568, 8200, 593, 513, 1906, 1271, 7355, 269, 4340, 547, 519, 4741, 585, 12655, 6052, 267, 519, 1942, 540, 10380, 543, 519, 1062, 1927, 1522, 2039, 1063, 1269, 1428, 267, 1822, 543, 1269, 1839, 267, 1822, 593, 3328, 563, 25821, 640, 3928, 616, 8185, 6766, 676, 13664, 4087, 269, 4340, 547, 1239, 689, 519, 2136, 2276, 6052, 6176, 10029, 585, 519, 1101, 8370, 3275, 540, 476, 1708, 272, 267, 519, 3084, 3328, 568, 5111, 476, 1724, 21347, 829, 4893, 578, 3430, 16923, 563, 2467, 616, 1585, 2081, 547, 4688, 2724, 1247, 1818, 519, 6467, 547, 3859, 1648, 269, 6787, 596, 2461, 3843, 547, 4688, 2724, 593, 10380, 610, 593, 707, 10626, 3915, 267, 649, 3580, 979, 936, 782, 540, 519, 1114, 2081, 596, 666, 4688, 2724, 609, 3859, 1648, 538, 713, 2376, 563, 24965, 576, 519, 8779, 540, 2659, 1763, 7808, 9891, 6052, 3590, 454, 3725, 321, 919, 693, 519, 2199, 1377, 454, 23530, 10380, 9276, 666, 581, 4389, 676, 2921, 5413, 540, 7791, 1648, 15314, 6035, 676, 707, 2199, 610, 1533, 2229, 563, 3725, 321, 919, 689, 519, 5313, 2229, 454, 25219, 559, 1125, 519, 5313, 3859, 3454, 5491, 547, 4688, 909, 547, 476, 2918, 260, 593, 3859, 8470, 10380, 3790, 563, 3725, 321, 919, 689, 9755, 454, 20524, 799, 9755, 1118, 3859, 1648, 607, 2241, 607, 2009, 676, 5356, 2883, 15314, 585, 707, 3859, 10380, 563, 16605, 606, 3750, 856, 585, 3260, 687, 538, 707, 1858, 610, 1533, 602, 949, 948, 596, 4688, 2724, 593, 519, 6718, 543, 10380, 540, 1007, 3937, 269, 623, 3420, 2084, 693, 519, 2953, 942, 568, 929, 644, 550, 563, 25219, 1988, 8779, 14205, 902, 454, 289, 1571, 585, 20848, 454, 289, 573, 24214, 6202, 547, 7050, 5201, 12014, 269, 9891, 1648, 666, 3648, 2759, 610, 1256, 9004, 707, 10865, 10626, 1942, 563, 28398, 532, 593, 513, 2121, 4493, 454, 3725, 576, 633, 13180, 585, 1022, 21045, 610, 30694, 1648, 6383, 676, 707, 3859, 1062, 269, 3683, 519, 1272, 540, 707, 3859, 1648, 1062, 267, 596, 1522, 7654, 4688, 5215, 540, 9489, 538, 5201, 24723, 563, 13706, 1210, 938, 3859, 1761, 9498, 547, 3313, 519, 2179, 540, 5201, 707, 8440, 1223, 5352, 543, 519, 2179, 540, 2724, 596, 1223, 4688, 593, 707, 1379, 3915, 563, 763, 10380, 540, 513, 3859, 8470, 1062, 568, 513, 1713, 1753, 6454, 1788, 267, 855, 621, 568, 1134, 4502, 519, 942, 543, 2724, 6170, 593, 519, 1788, 269, 9603, 547, 3875, 2199, 267, 1533, 267, 543, 5313, 15314, 602, 20427, 2539, 3790, 267, 519, 5318, 5354, 540, 10820, 949, 979, 3859, 609, 1100, 2724, 1524, 909, 12506, 563, 8196, 2199, 267, 1533, 267, 610, 5313, 24307, 547, 15558, 519, 3902, 540, 707, 3859, 8470, 3937, 543, 10380, 865, 602, 596, 949, 4324, 689, 513, 10715, 540, 1863, 267, 7791, 1648, 269, 1411, 666, 849, 946, 2121, 1558, 1359, 610, 12119, 3260, 687, 547, 2539, 707, 3790, 1256, 2417, 269, 0, 338, 6897, 8470, 521, 1944, 454, 23530, 8470, 2450, 7516, 21920, 543, 654, 5954, 269, 634, 3259, 543, 8700, 540, 6671, 14461, 8440, 4268, 5594, 689, 835, 10672, 547, 519, 824, 269, 2560, 291, 3704, 269, 634, 3178, 540, 9792, 689, 476, 272, 269, 275, 538, 269, 2560, 26574, 269, 901, 568, 606, 1271, 3815, 547, 2015, 950, 16459, 513, 3859, 14346, 1062, 593, 707, 31241, 641, 269, 2560, 763, 1297, 540, 2281, 543, 2450, 269, 6693, 10144, 849, 2307, 454, 1432, 2450, 3859, 8440, 798, 594, 10261, 888, 27039, 593, 519, 10672, 267, 789, 421, 486, 354, 418, 359, 496, 331, 581, 267, 538, 2489, 267, 606, 10759, 610, 1079, 3677, 593, 2901, 2427, 269, 16480, 267, 2757, 1949, 8415, 476, 2568, 16052, 543, 476, 7761, 16052, 8440, 563, 6701, 782, 3859, 8440, 519, 1482, 2450, 888, 28733, 569, 267, 952, 3859, 8440, 2270, 1114, 2338, 540, 3859, 2281, 267, 1287, 789, 5749, 421, 486, 354, 418, 359, 505, 782, 519, 1482, 2450, 269, 1306, 513, 2489, 4341, 267, 519, 811, 3859, 2281, 513, 3859, 8470, 814, 267, 519, 8273, 519, 2450, 269, 590, 4869, 344, 1591, 8440, 616, 2356, 4130, 982, 29235, 26690, 1591, 3859, 8440, 563, 1432, 568, 519, 2450, 540, 513, 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 ]
[ 10327, 7456, 16558, 6983, 648, 1104, 667, 1619, 267, 2920, 10474, 692, 258, 8490, 519, 2203, 454, 343, 528, 815, 14938, 1113, 10797, 258, 5410, 2838, 6106, 454, 258, 5590, 519, 1101, 4494, 547, 513, 667, 1619, 3890, 4494, 609, 606, 3977, 8700, 540, 476, 279, 3097, 258, 9136, 543, 519, 3403, 5091, 574, 1305, 547, 519, 2450, 540, 519, 2866, 5439, 630, 514, 713, 2013, 476, 273, 1916, 343, 528, 14491, 20573, 1619, 263, 1839, 267, 3403, 5091, 574, 284, 311, 17482, 314, 272, 8079, 2020, 258, 5410, 513, 16009, 327, 11852, 1599, 563, 343, 528, 14491, 263, 8002, 10474, 3488, 11927, 327, 10807, 2020, 258, 5590, 519, 3977, 4494, 8700, 547, 476, 272, 267, 2094, 519, 3977, 814, 1152, 1079, 5049, 269, 3097, 258, 630, 2171, 666, 946, 476, 271, 585, 835, 1362, 606, 476, 272, 585, 519, 824, 994, 343, 528, 14491, 20573, 1619, 263, 272, 11723, 258, 2422, 513, 521, 31451, 11852, 1599, 1310, 519, 3977, 4494, 563, 343, 528, 14491, 263, 8002, 10474, 3488, 338, 31451, 10807, 2020, 258, 10410, 1518, 2530, 607, 834, 321, 2435, 6831, 1484, 550, 16552, 2580, 5688, 6500, 607, 834, 611, 600, 20350, 258, 543, 1039, 519, 6111, 11973, 692, 2162, 4495, 649, 723, 938, 2203, 3710, 267, 649, 991, 547, 29289, 621, 1354, 621, 666, 581, 2196, 269, 3097, 2162, 3281, 4979, 519, 918, 10327, 2203, 7125, 519, 1394, 754, 630, 339, 16428, 6503, 267, 519, 8457, 267, 3092, 4700, 543, 25907, 519, 5688, 6500, 267, 3097, 2162, 2530, 1599, 267, 543, 824, 6724, 2838, 1354, 519, 2203, 666, 581, 2196, 593, 1022, 3403, 1239, 269, 3097, 2162, 1284, 3513, 14574, 519, 2530, 1599, 547, 581, 9352, 6831, 1484, 550, 16552, 799, 666, 581, 1031, 950, 972, 616, 1152, 3097, 2162, 1079, 5049, 267, 543, 14574, 740, 600, 607, 519, 5688, 6500, 630, 6518, 568, 513, 10257, 9949, 950, 3432, 568, 513, 3097, 2162, 10862, 1040, 1656, 6368, 267, 649, 666, 14574, 1018, 14573, 649, 1616, 547, 6218, 519, 2203, 609, 269, 3097, 2162, 3371, 649, 3513, 946, 6111, 563, 343, 528, 2593, 335, 850, 10857, 1601, 6889, 321, 2435, 6831, 1484, 550, 16552, 2580, 5688, 6500, 6889, 611, 600, 2580, 14573, 815, 22373, 3147, 5596, 19312, 2020, 258, 1133, 1260, 618, 713, 1899, 547, 1820, 519, 2203, 6189, 454, 343, 528, 27904, 4424, 10797, 258, 674, 9231, 519, 2203, 454, 258, 14840, 519, 2203, 585, 476, 2004, 22184, 338, 563, 20931, 815, 1535, 528, 32265, 11583, 267, 586, 267, 22184, 338, 284, 5611, 267, 8231, 846, 284, 271, 2020, 258, 2480, 1681, 519, 2203, 454, 16557, 815, 1535, 528, 4318, 1998, 10663, 11583, 267, 586, 994, 2745, 19629, 333, 16914, 5596, 281, 14307, 6060, 15631, 272, 20285, 258, 6744, 532, 519, 11236, 454, 2745, 19629, 333, 303, 9438, 687, 281, 5602, 2745, 3287, 528, 4877, 9438, 318, 2889, 9346, 11583, 4917, 0, 5035, 19219, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1948, 19219, 4433, 264, 689, 799, 713, 19219, 11392, 2418, 454, 1038, 1582, 23357, 20129, 5332, 3941, 815, 538, 20129, 5332, 3941, 454, 1038, 1948, 19219, 4433, 264, 547, 799, 713, 19219, 10596, 2418, 454, 1038, 1582, 269, 719, 20129, 5332, 3941, 815, 11713, 1038, 1948, 1280, 1142, 538, 20129, 17045, 267, 1039, 519, 1699, 19219, 607, 606, 856, 20129, 17045, 563, 1038, 585, 562, 538, 1582, 23357, 20129, 5332, 3941, 912, 2018, 562, 269, 719, 20129, 5332, 3941, 6910, 4311, 2020, 1038, 1948, 589, 7229, 1871, 454, 1038, 1582, 27841, 815, 7183, 692, 825, 1219, 4464, 4311, 2187, 1038, 8173, 1038, 28644, 18640, 780, 1038, 30770, 519, 3977, 1871, 1759, 593, 2387, 514, 20129, 5332, 3941, 319, 543, 454, 1038, 4558, 519, 1267, 538, 1582, 27841, 563, 1038, 8173, 1038, 6318, 3502, 25363, 7757, 454, 0, 1012, 3807, 607, 609, 8849, 5121, 267, 649, 1711, 513, 23711, 538, 918, 10327, 676, 1101, 2870, 513, 14938, 1113, 2203, 780, 5228, 737, 10327, 6230, 617, 1564, 1104, 14938, 1113, 454, 1012, 1284, 1104, 1896, 6106, 267, 1519, 6106, 602, 616, 5432, 689, 8849, 5121, 267, 543, 1007, 6106, 602, 649, 4121, 827, 538, 713, 3992, 780, 5228, 737, 10327, 7456, 16558, 1104, 1230, 341, 273, 291, 267, 7665, 303, 944, 532, 273, 291, 267, 25065, 1084, 267, 667, 1619, 454, 1012, 1306, 609, 8849, 5121, 267, 649, 1039, 6106, 547, 519, 3060, 676, 1210, 519, 1547, 5417, 3890, 1505, 1384, 16347, 815, 14938, 1113, 4590, 16347, 14491, 263, 3519, 341, 273, 291, 6600, 559, 1562, 284, 1626, 267, 17830, 15481, 284, 273, 267, 14950, 3429, 8782, 338, 877, 3299, 11852, 8782, 516, 1663, 3299, 3403, 318, 27729, 14352, 3953, 267, 476, 3953, 267, 476, 274, 21875, 16347, 14491, 263, 16655, 303, 944, 532, 273, 291, 9638, 944, 15481, 284, 273, 4917, 16347, 14491, 263, 3519, 341, 273, 291, 6600, 559, 1562, 284, 3953, 267, 17830, 15481, 284, 273, 267, 14950, 3429, 8782, 338, 877, 3299, 11852, 8782, 516, 1663, 29125, 16347, 14491, 263, 16655, 303, 944, 532, 273, 291, 9638, 944, 15481, 284, 273, 4917, 16347, 14491, 263, 3519, 341, 273, 291, 6600, 559, 1562, 284, 5038, 267, 17830, 15481, 284, 273, 267, 14950, 3429, 8782, 338, 877, 3299, 11852, 8782, 516, 1663, 29125, 16347, 14491, 263, 16655, 303, 944, 532, 273, 291, 9638, 944, 15481, 284, 273, 4917, 16347, 14491, 263, 14503, 520, 1084, 15405, 16347, 14491, 20573, 1619, 263, 4335, 267, 11852, 8782, 516, 1663, 29125, 16347, 14491, 20573, 1619, 263, 1015, 267, 11852, 8782, 7809, 10946, 29125, 1012, 634, 3060, 5956, 609, 513, 5311, 540, 1614, 28708, 531, 6106, 267, 4553, 676, 3193, 7535, 532, 6106, 269, 1452, 1101, 3670, 6106, 616, 2966, 547, 1491, 519, 3403, 5044, 540, 3239, 19641, 543, 6460, 621, 547, 606, 5044, 1141, 782, 540, 519, 8901, 1344, 814, 1044, 17065, 7458, 856, 267, 543, 1152, 1344, 17683, 519, 1543, 540, 519, 3239, 3788, 269, 634, 5044, 568, 1287, 24609, 539, 547, 513, 6152, 538, 519, 18749, 4494, 540, 519, 23711, 269, 898, 568, 4553, 676, 1079, 10053, 6106, 2966, 547, 2417, 30881, 519, 1543, 540, 519, 3239, 269, 634, 3803, 4494, 814, 835, 7127, 585, 1142, 1843, 1362, 538, 519, 10471, 267, 543, 814, 513, 2571, 10946, 11852, 1599, 267, 865, 602, 621, 7024, 17831, 780, 1012, 10691, 292, 281, 769, 519, 3381, 267, 596, 1522, 5469, 602, 28708, 531, 6106, 616, 9138, 609, 1230, 23728, 273, 291, 3079, 540, 1230, 341, 273, 291, 269, 23657, 568, 5386, 585, 918, 10327, 476, 273, 269, 271, 267, 855, 1230, 341, 273, 291, 568, 9053, 780, 1012, 12085, 547, 5457, 454, 1012, 11408, 1039, 513, 1234, 299, 308, 11852, 1599, 547, 519, 1230, 341, 273, 291, 6106, 538, 707, 23711, 269, 2060, 519, 9868, 540, 519, 3803, 4494, 538, 519, 3060, 267, 667, 1619, 6106, 1058, 849, 723, 513, 1234, 299, 308, 11852, 1599, 563, 1012, 1879, 14335, 513, 3060, 585, 8760, 267, 519, 3803, 4494, 538, 519, 3060, 1058, 581, 513, 667, 1619, 4494, 609, 513, 2571, 10946, 11852, 1599, 269, 634, 1297, 540, 9136, 538, 519, 3803, 4494, 1058, 3160, 519, 2698, 1297, 540, 5049, 538, 519, 10471, 563, 1012, 5620, 1187, 256, 1403, 596, 1376, 547, 1745, 27209, 267, 649, 4363, 602, 596, 2638, 856, 27055, 329, 10127, 15797, 781, 512, 3518, 331, 337, 609, 3593, 28175, 4784, 2530, 3252, 267, 7222, 547, 3631, 602, 5795, 741, 5411, 930, 8373, 269, 31962, 602, 519, 2530, 568, 9277, 547, 6175, 1282, 2866, 269, 1452, 13602, 1397, 1360, 1114, 2623, 2433, 1916 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2971, 13878, 6953, 306, 6993, 4149, 10345, 269, 6734, 18502, 692, 13878, 6953, 306, 28080, 9643, 11621, 10490, 264, 10417, 281, 10789, 263, 7704, 292, 264, 23792, 281, 22628, 12856, 538, 25285, 5141, 13831, 281, 3503, 7215, 538, 6697, 3029, 547, 4194, 2042, 13878, 6953, 306, 6993, 4149, 10345, 269, 6734, 18502, 7994, 543, 3132, 606, 6697, 1106, 540, 606, 4082, 547, 7866, 543, 2491, 3601, 540, 519, 7274, 6719, 676, 519, 4082, 269, 513, 269, 16748, 513, 13392, 4082, 547, 7866, 519, 21325, 540, 519, 1599, 621, 11225, 780, 1012, 9906, 4804, 28080, 1115, 1384, 1892, 594, 666, 692, 1892, 594, 666, 692, 2162, 10341, 630, 8110, 18504, 264, 28080, 1115, 692, 1892, 594, 666, 4194, 513, 13392, 3830, 676, 28809, 2409, 543, 519, 4642, 1587, 3959, 780, 1892, 594, 666, 454, 1892, 594, 666, 692, 1012, 4515, 11351, 17361, 692, 24143, 13517, 12726, 11314, 476, 275, 269, 271, 769, 1840, 547, 8236, 1377, 476, 274, 269, 271, 1543, 267, 519, 2875, 2306, 538, 3829, 31921, 543, 3156, 602, 979, 3564, 1018, 729, 6026, 269, 16534, 519, 1739, 21335, 676, 28809, 281, 476, 274, 269, 276, 769, 1840, 547, 24143, 476, 274, 269, 271, 2773, 267, 519, 2875, 9727, 538, 3829, 31921, 543, 3156, 3823, 519, 811, 1950, 1543, 609, 9864, 1967, 269, 476, 274, 269, 271, 634, 2875, 281, 666, 4194, 513, 13392, 3830, 676, 28809, 666, 946, 519, 4642, 1587, 3959, 634, 2875, 15225, 1100, 2101, 6959, 610, 9631, 3827, 269, 16534, 519, 1739, 21335, 676, 28809, 269, 1535, 273, 266, 279, 343, 266, 278, 284, 271, 476, 273, 343, 273, 268, 1428, 343, 266, 1240, 284, 271, 476, 274, 343, 273, 266, 273, 343, 266, 272, 284, 278, 343, 266, 274, 476, 275, 343, 273, 268, 279, 343, 266, 274, 284, 271, 476, 273, 269, 276, 634, 2875, 9727, 1100, 2101, 6959, 610, 9631, 3827, 3823, 519, 12863, 3877, 543, 3157, 630, 30360, 476, 273, 269, 271, 1543, 264, 543, 9864, 1702, 540, 519, 811, 1950, 2093, 543, 3157, 630, 30360, 476, 274, 269, 271, 1543, 1040, 476, 273, 269, 271, 1703, 616, 1100, 2101, 6959, 610, 9631, 3827, 3823, 519, 12863, 3877, 543, 3157, 607, 519, 2875, 281, 634, 2875, 281, 666, 4194, 513, 13392, 3830, 1210, 519, 4642, 1587, 3959, 1717, 267, 519, 2875, 15225, 2101, 6959, 610, 9631, 3827, 3823, 519, 811, 1950, 2093, 543, 3157, 269, 16534, 519, 1739, 21335, 676, 519, 4642, 1587, 3959, 269, 630, 343, 266, 276, 7565, 343, 268, 274, 6661, 271, 476, 278, 343, 3287, 268, 272, 6661, 271, 630, 274, 343, 268, 276, 7565, 343, 268, 280, 6661, 271, 476, 272, 269, 276, 634, 2875, 9727, 9864, 1702, 540, 519, 12863, 3877, 543, 3157, 630, 30360, 476, 273, 269, 271, 1543, 264, 855, 15225, 2101, 6959, 610, 9631, 3827, 3823, 519, 811, 1950, 2093, 543, 5773, 630, 30360, 476, 274, 269, 271, 1543, 1040, 476, 272, 269, 271, 2060, 948, 267, 513, 9864, 1620, 540, 930, 540, 519, 12863, 3877, 543, 3157, 543, 930, 540, 519, 811, 1950, 2093, 543, 3157, 269, 910, 476, 271, 269, 276, 2060, 948, 267, 519, 2875, 9727, 513, 9864, 1620, 540, 930, 540, 519, 12863, 3877, 543, 3157, 630, 30360, 476, 273, 269, 271, 1543, 264, 855, 711, 519, 811, 1950, 2093, 543, 3157, 630, 30360, 476, 274, 269, 271, 1543, 6393, 1012, 8249, 692, 5680, 15642, 629, 0, 10000, 5765, 22391, 18704, 454, 9943, 692, 4089, 476, 272, 269, 274, 4534, 634, 3213, 15453, 1773, 2033, 692, 272, 267, 27174, 5784, 692, 13775, 593, 692, 299, 15145, 593, 8791, 476, 272, 269, 274, 538, 13056, 2231, 543, 1546, 293, 3757, 5633, 780, 13775, 538, 281, 4065, 267, 5303, 267, 20154, 454, 271, 700, 10105, 454, 32417, 454, 24687, 454, 1892, 9509, 8745, 454, 4467, 618, 4422, 1934, 780, 6701, 596, 2386, 596, 1616, 547, 8786, 3143, 454, 1892, 2142, 519, 1101, 547, 6085, 692, 1892, 2142, 519, 1101, 547, 899, 713, 692, 21366, 454, 13707, 5784, 454, 272, 267, 27174, 454, 4002, 22391, 18704, 454, 271, 454, 5804, 21150, 2644, 454, 271, 454, 10831, 540, 21150, 2644, 454, 273, 454, 288, 2388, 454, 306, 3873, 637, 454, 271, 454, 1704, 454, 271, 454, 299, 10105, 454, 271, 454, 21615, 2644, 476, 271, 454, 5591, 2377, 2644, 692, 5591, 4967, 585, 13472, 692, 4089, 476, 272, 269, 274, 4534, 634, 3213, 15453, 1773, 2033, 692, 272, 269, 476, 272, 269, 10790, 13040, 2776, 15612, 639, 283, 1962, 29451, 4089, 476, 272, 269, 274, 283, 1962, 29451, 763, 3213, 15453, 1773, 2033, 283, 1962, 1315, 11417, 273, 269, 476, 273, 269, 634, 3213, 15453, 1773, 2033, 283, 1962, 29451, 2252, 1079, 12215, 540, 519, 1297, 1899, 267, 835, 8880, 543, 835, 7299, 267, 616, 5116, 865, 602, 789, 12969, 693, 519, 4642, 1448, 540, 1142, 1899, 267, 513, 6292, 540, 17887, 568, 4646, 269, 283, 1962, 29451, 763, 8880, 1297, 1899, 568, 1572, 519, 1535, 14289, 543, 519, 7299, 1297, 1899, 568, 1572, 519, 586, 14289, 269, 283, 1962, 29451, 763, 1448, 1141, 519, 3515, 12969, 568, 1572, 519, 5169, 269, 283, 1962, 29451, 2171, 1289, 713, 513, 14328, 11282, 7077, 610, 513, 31951, 11282, 1062, 269, 283, 1962, 1315, 11417, 274, 269, 476, 274, 269, 634, 3213, 15453, 1773, 2033, 283, 1962, 1315, 11417, 275, 269, 476, 275, 269, 634, 3213, 15453, 1773, 2033, 283, 1962, 1315, 11417, 276, 269, 476, 276, 269, 21153, 8017, 538, 5565, 17435, 5014, 283, 1962, 29451, 763, 3113, 540, 606, 8635, 538, 1079, 4632, 5161, 540, 782, 10288, 8424, 602, 1118, 519, 8635, 513, 3020, 3948, 269, 283, 1962, 29451, 7078, 281, 14597, 649, 1616, 547, 2999, 1962, 29451, 23054, 519, 8635, 1547, 283, 1962, 29451, 3682, 1027, 675, 23901, 1962, 1315, 12481, 592, 12481, 2993, 285, 20877, 519, 10465, 7455, 4586, 277, 269, 476, 277, 269, 8571, 513, 4396, 7455, 952, 7862, 568, 3769, 563, 278, 269, 476, 278, 269, 8571, 513, 546, 14414, 7455, 952, 7862, 568, 711, 3769, 563, 279, 269, 476, 279, 269, 14419, 799, 3148, 4433, 264, 4646, 676, 519, 7455, 2306, 519, 8635, 3020, 676, 4152, 609, 835, 1448, 689, 3330, 1142, 3148, 563, 280, 269, 476, 280, 269, 1744, 1228, 519, 3148, 4433, 264, 602, 1118, 519, 8635, 3020, 27135, 2993, 20565, 2993, 20565, 592, 12481, 2993, 285, 296, 928, 638, 8017, 538, 5565, 17435, 5014, 283, 1962, 29451, 21902, 338, 540, 1079, 16526, 23901, 1962, 29451, 29613, 320, 281, 8641, 1312, 16526, 283, 1962, 29451, 663, 519, 3148, 602, 814, 1044, 2999, 1962, 29451, 3333, 12184, 538, 7466, 568, 519, 3148, 649, 2461, 3168, 585, 269, 283, 1962, 29451, 7078, 693, 2451, 281, 8641, 519, 3070, 1305, 540, 519, 1739, 1062, 540, 16526, 23901, 1962, 29451, 12812, 1934, 547, 1294, 513, 3846, 823, 343, 2217, 540, 5276, 16526, 269, 283, 1962, 1315, 11417, 1015, 269, 476, 1015, 269, 20028, 283, 1962, 29451, 22428, 1079, 2798, 623, 272, 543, 623, 273, 723, 10974, 1547, 1548, 568, 519, 3845, 1063, 623, 272, 543, 623, 273, 286, 283, 1962, 1315, 12481, 592, 12481, 2993, 285, 634, 3845, 689, 623, 272, 547, 623, 273, 568, 1492, 3259, 540, 519, 30494, 1993, 513, 1318, 6906, 563, 1556, 269, 476, 1556, 269, 634, 3259, 540, 519, 5377, 2427, 529, 519, 1482, 607, 519, 3845, 1063, 1535, 272, 543, 1535, 273, 593, 519, 1535, 14289, 267, 21742, 2993, 20565, 592, 285, 7474, 568, 267, 1547, 634, 3259, 540, 519, 7299, 2427, 568, 519, 1482, 607, 519, 3845, 1063, 586, 272, 543, 586, 273, 267, 602, 568, 1547, 283, 1962, 1315, 11417, 1321, 269, 476, 1321, 269, 20028, 283, 1962, 29451, 3383, 952, 649, 1577, 546, 581, 519, 3845, 1063, 623, 272, 543, 623, 273, 267, 676, 519, 25355, 14497, 26612, 283, 1962, 29451, 3086, 649, 1491, 519, 4009, 3597, 1993, 1312, 5011, 269, 4595, 3845, 568, 2318, 23901, 1962, 29451, 7712, 649, 2461, 2695, 2130, 538, 972, 267, 933, 666, 7006, 1619, 609, 519, 11274, 5193, 2418, 543, 1205, 283, 1962, 29451, 291, 2700, 16754, 283, 1962, 1315, 11417, 1724, 269, 476, 1724, 269, 20028, 283, 1962, 29451, 7078, 281, 4855, 519, 3845, 1063, 519, 2798, 630, 275, 16427, 278, 264, 543, 11196, 272, 267, 274, 1040, 283, 1962, 1315, 11417, 1691, 269, 476, 1691, 269, 20028, 283, 1962, 29451, 8450, 4223, 11490, 320, 26761, 1629, 334, 593, 3845, 269, 283, 1962, 1315, 11417, 1428, 269, 476, 1428, 269, 11068, 4812, 283, 1962, 29451, 763, 30268, 540, 519, 1899, 10126, 8220, 519, 2798, 623, 272, 3287, 272, 11971, 272, 264, 543, 623, 273, 3287, 273, 11971, 273, 264, 568, 17223, 676, 3274, 19011, 1645, 519, 1535, 268, 543, 586, 18396, 24002, 14384, 269, 283, 1962, 29451, 300, 573, 4812, 16754, 763, 30268, 1063, 630, 343, 272, 11971, 272, 264, 543, 630, 343, 273, 11971, 273, 264, 568, 283, 1962, 29451, 12648, 513, 4090, 547, 1265, 519, 10974, 540, 519, 1448, 3368, 1259, 1063, 543, 1547, 283, 1962, 29451, 12585, 281, 2999, 1962, 1315, 11417, 1626, 269, 476, 1626, 269, 19449, 3380, 538, 519, 1773, 2033, 283, 1962, 29451, 288, 5858, 568, 3989, 607, 519, 1305, 540, 782, 2798, 602, 616, 519, 1482, 3845, 689, 513, 2016, 1448, 269, 283, 1962, 29451, 763, 3845, 568, 1572, 519, 8953, 269, 283, 1962, 29451, 763, 2016, 1448, 568, 1572, 519, 4099, 540, 519, 5858, 269, 283, 1962, 29451, 4131, 630, 343, 267, 586, 264, 581, 1022, 1448, 593, 513, 5858, 609, 4099, 630, 327, 267, 737, 264, 543, 8953, 678, 607, 3254, 693, 2451, 269, 283, 1962, 29451, 7712, 630, 343, 267, 586, 264, 1590, 581, 678, 4559, 689, 519, 4099, 540, 519, 5858, 267, 519, 3845, 4542, 3947, 283, 1962, 1315, 11417, 1704, 269, 476, 1704, 269, 9208, 4813, 540, 519, 17817, 540, 513, 17781, 283, 1962, 29451, 763, 3113, 540, 283, 1962, 29451, 529, 513, 5858, 540, 8953, 678, 630, 337, 21759, 476, 271, 264, 609, 4099, 693, 519, 1448, 630, 327, 267, 737, 1040, 1403, 519, 5858, 814, 4099, 693, 519, 5169, 267, 519, 3830, 3587, 283, 1962, 29451, 763, 5858, 568, 1572, 519, 1770, 5858, 269, 283, 1962, 1315, 11417, 1240, 269, 476, 1240, 269, 19449, 3380, 538, 519, 1773, 2033, 283, 1962, 29451, 7078, 23901, 1962, 29451, 763, 4099, 568, 693, 519, 1448, 2999, 1962, 29451, 263, 273, 267, 476, 274, 264, 543, 519, 8953, 568, 476, 272, 1770, 269, 283, 1962, 29451, 2171, 666, 4137, 856, 930, 2798, 593, 519, 5858, 676, 4358, 609, 519, 4099, 1448, 267, 630, 273, 267, 476, 274, 1070, 543, 4946, 610, 18946, 476, 272, 689, 1142, 11282, 269, 283, 1962, 29451, 3383, 2185, 1806, 1131, 581, 2999, 1962, 29451, 263, 274, 267, 476, 274, 1070, 630, 272, 267, 476, 274, 1070, 630, 273, 267, 476, 273, 1070, 543, 630, 273, 267, 476, 275, 1040, 2521, 281, 4855, 606, 3830, 540, 513, 5858, 609, 4099, 11196, 274, 267, 476, 277, 264, 543, 8953, 476, 275, 269, 283, 1962, 29451, 12585, 281, 2999, 1962, 1315, 11417, 866, 269, 476, 866, 269, 7388, 1154, 519, 4009, 283, 1962, 29451, 7078, 281, 4855, 519, 4099, 543, 8953, 540, 519, 5858, 4171, 3830, 568, 1547, 283, 1962, 29451, 7712, 972, 568, 606, 1535, 273, 3856, 543, 606, 1535, 3856, 267, 649, 723, 547, 9192, 873, 547, 1106, 519, 2165, 676, 11264, 519, 4009, 23901, 1962, 29451, 2171, 1101, 1895, 519, 1535, 268, 614, 916, 1927, 23901, 1962, 29451, 2414, 2490, 519, 3364, 538, 24324, 883, 513, 3501, 4009, 267, 7941, 519, 11664, 540, 519, 1535, 3856, 676, 476, 273, 267, 4009, 602, 1297, 543, 1039, 621, 547, 1312, 5011, 269, 283, 1962, 1315, 11417, 736, 269, 476, 736, 269, 7388, 1154, 519, 12384, 283, 1962, 29451, 2171, 666, 1287, 3815, 519, 1535, 268, 614, 916, 23901, 1962, 29451, 7775, 547, 2322, 621, 538, 519, 1106, 540, 513, 5858, 23901, 1962, 29451, 2171, 1294, 602, 554, 568, 476, 272, 543, 737, 568, 476, 271, 269, 1924, 519, 4099, 540, 519, 5858, 568, 630, 272, 267, 271, 264, 543, 519, 8953, 568, 476, 273, 269, 283, 1962, 1315, 11417, 2641, 269, 476, 2641, 269, 7388, 1154, 519, 12384, 283, 1962, 29451, 2414, 2119, 593, 707, 1378, 281, 8641, 519, 3830, 283, 1962, 29451, 295, 842, 281, 19147, 1101, 676, 476, 273, 269, 283, 1962, 29451, 290, 22511, 568, 10704, 693, 11196, 273, 267, 274, 264, 543, 814, 31709, 476, 272, 269, 283, 1962, 1315, 11417, 2420, 269, 476 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1210, 1913, 543, 5220, 269, 2913, 781, 4685, 883, 713, 4241, 2361, 1927, 2439, 5331, 2348, 513, 6643, 609, 707, 1655, 3659, 267, 855, 10393, 267, 596, 7340, 1455, 1913, 899, 834, 20625, 2437, 834, 14725, 2437, 610, 1256, 834, 31435, 1701, 16319, 17559, 267, 1318, 286, 1280, 1004, 7231, 609, 513, 3508, 807, 630, 1492, 2783, 649, 1175, 4330, 1070, 4948, 2792, 3587, 4101, 1813, 547, 7965, 609, 4633, 543, 8223, 3361, 676, 3441, 547, 1808, 2127, 540, 519, 2634, 3743, 585, 1893, 4393, 780, 4131, 781, 2736, 1524, 930, 1898, 3334, 540, 589, 3508, 5735, 1384, 272, 269, 2878, 23458, 14409, 4995, 3776, 12058, 723, 2027, 4525, 6131, 547, 4393, 1893, 1572, 7935, 8619, 781, 1858, 543, 654, 1716, 545, 651, 781, 1858, 269, 1879, 891, 2127, 1205, 8697, 1317, 540, 18116, 267, 10913, 267, 610, 10108, 971, 607, 12216, 781, 2068, 267, 2043, 1522, 6560, 609, 6721, 610, 26762, 9275, 610, 2854, 1893, 563, 273, 269, 2878, 15650, 540, 589, 3508, 807, 4995, 1703, 616, 1114, 5686, 540, 513, 3508, 807, 4470, 2390, 799, 2694, 540, 519, 2634, 3893, 4299, 269, 2368, 2043, 949, 1152, 1995, 2042, 11589, 2933, 998, 4633, 1247, 1866, 1522, 849, 1265, 2542, 543, 1603, 2352, 269, 898, 1223, 2039, 689, 7646, 23043, 602, 2014, 17573, 588, 3518, 956, 936, 1913, 547, 4049, 2665, 1141, 11913, 4082, 568, 3908, 547, 2582, 1913, 610, 2110, 2453, 563, 274, 269, 2878, 10112, 20156, 543, 9615, 4995, 16594, 25082, 2619, 5505, 2708, 1004, 609, 513, 3508, 807, 676, 4152, 741, 5759, 547, 3717, 267, 6432, 267, 1224, 267, 2328, 267, 543, 1174, 17267, 269, 9122, 593, 891, 2164, 267, 16293, 1374, 16419, 2126, 4566, 6322, 693, 5355, 2792, 1983, 543, 15268, 2994, 585, 3232, 1272, 2591, 269, 1452, 5574, 1419, 4125, 8026, 1585, 10409, 4247, 543, 6220, 2029, 899, 8924, 543, 3301, 3292, 563, 275, 269, 2878, 10932, 21992, 906, 4995, 12824, 3136, 4974, 2081, 547, 3986, 5868, 2409, 267, 1020, 1007, 14317, 2553, 267, 543, 1628, 4217, 633, 4066, 269, 1358, 2832, 547, 1732, 1174, 8849, 29010, 1107, 519, 2634, 781, 7415, 4390, 547, 3082, 543, 1106, 1007, 4296, 1739, 5945, 610, 2068, 780, 3086, 4952, 1373, 2111, 547, 948, 2576, 22919, 741, 5639, 543, 11177, 6209, 4296, 5103, 10779, 885, 269, 24356, 589, 3508, 5735, 28382, 721, 609, 3407, 4030, 827, 519, 1950, 2470, 540, 1480, 1893, 543, 922, 6935, 547, 17133, 269, 9578, 267, 6616, 811, 827, 513, 3508, 807, 11942, 6568, 2509, 1346, 945, 3068, 2591, 14379, 1169, 1554, 269, 1924, 1577, 781, 1832, 1565, 543, 3695, 713, 9159, 2460, 540, 683, 340, 1503, 3907, 2524, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4692, 6598, 7734, 538, 7179, 269, 8191, 543, 7170, 12039, 7300, 8281, 454, 6701, 596, 3168, 585, 1224, 19545, 2228, 286, 9612, 585, 707, 1433, 543, 4688, 621, 593, 707, 28632, 3926, 267, 7193, 267, 11436, 610, 14342, 269, 8281, 8225, 7734, 538, 7179, 269, 8191, 543, 7170, 12039, 7300, 2407, 1433, 269, 7457, 2407, 1433, 2140, 8225, 7734, 538, 7179, 269, 8191, 543, 7170, 12039, 676, 1547, 8281, 2407, 2835, 538, 7300, 543, 21768, 18510, 3898, 563, 12041, 281, 30554, 22828, 14355, 6953, 24513, 1231, 21629, 281, 25941, 657, 14539, 9768, 281, 476, 25484, 9083, 25171, 279, 21145, 2433, 5678, 8551, 1299, 2598, 4184, 1149, 19932, 2433, 679, 9664, 2433, 476, 21327, 454, 763, 19427, 540, 2228, 1433, 9513, 267, 3059, 8228, 267, 3059, 3561, 20104, 2359, 543, 519, 2780, 1436, 540, 1507, 1612, 4897, 17825, 2813, 513, 2189, 4316, 547, 1711, 513, 14323, 5010, 2203, 585, 8228, 543, 23478, 2835, 593, 3747, 269, 901, 5647, 729, 24847, 17947, 676, 519, 4081, 13629, 2146, 1200, 531, 3429, 519, 15063, 540, 519, 1658, 5109, 4081, 1395, 1748, 269, 634, 7399, 9676, 519, 9345, 540, 3860, 4081, 543, 13395, 21101, 7175, 524, 639, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 288, 3508, 5735, 257, 607, 851, 540, 834, 299, 20315, 308, 17803, 8121, 4811, 1299, 20591, 5746, 12195, 2562, 2464, 1315, 23008, 2524, 1315, 5369, 565, 3907, 2524, 1315, 3026, 340, 1503, 3907, 2524, 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, 634, 1480, 1560, 781, 4102, 1418, 267, 519, 2960, 267, 4249, 513, 4105, 1909, 538, 7863, 721, 689, 5007, 2800, 1247, 4509, 938, 6418, 3666, 998, 1585, 12214, 3157, 269, 1306, 5018, 538, 519, 2546, 21626, 267, 17172, 1108, 9388, 4481, 609, 713, 1950, 1418, 1062, 543, 922, 2404, 3334, 971, 607, 4552, 267, 18969, 267, 543, 29935, 17011, 269, 901, 3184, 12538, 883, 519, 4241, 1158, 540, 17172, 1108, 267, 3695, 1455, 2960, 2175, 543, 10223, 519, 4644, 540, 5275, 4274, 1416, 950, 2877, 269, 8528, 296, 269, 4197, 519, 16164, 692, 763, 2960, 568, 7768, 540, 1614, 1292, 6106, 281, 519, 28603, 529, 267, 546, 1069, 529, 267, 543, 3834, 25866, 529, 630, 10193, 1634, 607, 1016, 12827, 10389, 5160, 1040, 3962, 4494, 19299, 2189, 4162, 1898, 547, 922, 3252, 269, 9253, 534, 14231, 267, 2281, 3743, 585, 6721, 14264, 514, 267, 616, 16559, 2429, 519, 28603, 529, 7700, 547, 938, 2960, 32442, 543, 5356, 930, 4027, 1996, 5739, 11158, 5982, 269, 3958, 267, 23128, 11294, 14231, 1106, 2185, 3982, 31324, 1369, 519, 28603, 529, 267, 3246, 513, 7347, 11064, 1996, 13596, 543, 5714, 2530, 780, 2862, 269, 11957, 540, 16164, 3249, 692, 19187, 2960, 3249, 4422, 3564, 6071, 15312, 282, 621, 3648, 5222, 2949, 1072, 676, 17420, 1996, 3968, 267, 5009, 10138, 7067, 267, 15725, 2837, 267, 543, 13754, 1944, 6171, 667, 269, 22685, 1154, 513, 5812, 6296, 5473, 9543, 26349, 267, 5848, 584, 1436, 267, 543, 3141, 4027, 666, 8190, 2960, 8699, 543, 22786, 269, 1717, 267, 5103, 1655, 3646, 267, 3875, 2188, 666, 1291, 547, 12012, 2960, 2175, 8506, 3318, 6304, 780, 7656, 269, 5871, 16164, 15136, 692, 288, 21318, 540, 1312, 5634, 543, 2101, 3413, 12787, 687, 666, 1764, 519, 2960, 269, 2368, 11342, 3283, 1331, 18383, 267, 26253, 267, 27728, 267, 887, 338, 25445, 267, 543, 2960, 2860, 780, 272, 269, 3600, 928, 910, 28088, 532, 689, 24571, 3022, 22405, 1813, 547, 4430, 694, 321, 636, 2504, 267, 4666, 2960, 19221, 267, 610, 9190, 17091, 267, 18383, 6799, 607, 3109, 21650, 267, 3043, 21650, 267, 13099, 2737, 267, 533, 755, 2737, 267, 12162, 2737, 267, 610, 30219, 269, 10021, 3320, 7133, 10708, 267, 18383, 666, 6414, 883, 15296, 4929, 1713, 5626, 11605, 26089, 2564, 3007, 780, 273, 269, 8278, 22915, 910, 2405, 1227, 17941, 693, 8084, 27150, 267, 26253, 28107, 607, 12225, 1227, 28349, 267, 1085, 3315, 15649, 1419, 9648, 593, 4827, 1116, 7252, 899, 1714, 28647, 543, 19704, 269, 18726, 32739, 13745, 609, 2825, 12153, 8309, 547, 922, 1646, 269, 10765, 1382, 11363, 519, 8937, 22435, 781, 3310, 593, 4761, 7939, 11021, 22763, 607, 1761, 9354, 3681, 780, 274, 269, 623, 23635, 910, 1323, 16991, 2783, 6353, 676, 4028, 24826, 540, 28603, 531, 2281, 3056, 547, 5394, 2989, 29693, 13196, 4988, 609, 3623, 854, 10253, 267, 15866, 22297, 593, 970, 16428, 7252, 267, 21435, 267, 543, 18969, 269, 24021, 5574, 4125, 1979, 11043, 8069, 13389, 1808, 7636, 18657, 2209, 19086, 2068, 10335, 780, 275, 269, 14472, 25445, 910, 11978, 1881, 676, 10770, 22980, 29442, 320, 267, 22007, 30231, 624, 14901, 267, 13099, 2737, 267, 533, 755, 2737, 267, 543, 12212, 522, 4788, 9525, 267, 887, 338, 25445, 5097, 5540, 4023, 1606, 7219, 2740, 2043, 1063, 476, 1789, 268, 2004, 1296, 2025, 269, 17832, 3455, 8446, 543, 21084, 2611, 2629, 2359, 2994, 2059, 609, 14278, 8839, 780, 276, 269, 16164, 9435, 910, 2037, 7609, 532, 21828, 1591, 26217, 267, 2695, 13904, 1591, 26217, 267, 543, 27441, 267, 891, 1272, 18446, 30279, 17473, 2272, 585, 8101, 24896, 543, 9019, 5001, 269, 10644, 31963, 2390, 11826, 2584, 641, 8527, 1254, 3800, 2016, 2178, 12205, 609, 22292, 4598, 780, 4353, 269, 10020, 540, 32536, 5505, 692, 2026, 4966, 2613, 539, 538, 2960, 17550, 267, 2619, 30986, 267, 543, 10368, 2553, 267, 17172, 5505, 1683, 26080, 5813, 883, 5883, 2759, 10389, 4713, 269, 30855, 4359, 4066, 899, 1476, 5914, 22794, 267, 789, 2709, 5730, 21904, 10893, 11991, 7459, 269, 5015, 267, 17172, 5505, 3251, 32448, 540, 9687, 11257, 1519, 6375, 558, 617, 17419, 5061, 267, 5444, 3797, 267, 543, 6289, 558, 14037, 710, 5935, 10531, 3461, 1416, 780, 309, 269, 10390, 692, 18698, 519, 6946, 2361, 540, 17172, 1108, 19156, 519, 2956, 540, 14344, 2960, 1072, 607, 7533, 547, 11455, 8171, 269, 1635, 5432, 1944, 6000, 609, 1455, 2960, 2175, 543, 9301, 519, 1871, 540, 11285, 3403, 267, 649, 6536, 5483, 3664, 3823, 1582, 13282, 2853, 543, 3782, 13345, 269, 11086, 267, 14237, 2463, 585, 938, 4703, 262, 856, 25958, 13104, 16877, 721, 547, 2661, 8902, 267, 811, 8746, 2729, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10666, 32536, 1108, 9615, 538, 570, 14660, 7288, 6614, 454, 1103, 570, 14660, 7288, 6614, 267, 17172, 1108, 2126, 568, 513, 2027, 1858, 540, 4915, 602, 6212, 593, 2175, 602, 1860, 707, 2960, 269, 769, 1840, 547, 2960, 267, 17172, 1108, 849, 2882, 2175, 602, 1860, 707, 18969, 267, 4552, 267, 543, 519, 16298, 540, 707, 22442, 1749, 267, 9224, 267, 543, 5023, 269, 16164, 568, 519, 1560, 779, 4102, 1418, 269, 898, 3568, 8229, 30804, 267, 17570, 15374, 267, 4552, 32235, 267, 22405, 267, 1973, 8043, 267, 543, 513, 2603, 540, 824, 3889, 269, 16164, 12391, 585, 621, 568, 1271, 547, 707, 2949, 1072, 563, 291, 12938, 1108, 568, 513, 2564, 20614, 7255, 609, 519, 5868, 543, 2126, 540, 12982, 267, 15110, 267, 2825, 267, 22480, 267, 610, 23872, 2960, 4713, 267, 2175, 267, 543, 4145, 269, 2755, 2489, 9439, 543, 4835, 4915, 7189, 949, 581, 2111, 547, 13209, 543, 1521, 519, 1482, 2175, 267, 513, 17172, 6048, 814, 513, 4514, 1620, 543, 3152, 1995, 269, 4935, 267, 1082, 3119, 1416, 7189, 786, 3277, 741, 2550, 547, 17172, 5505, 585, 7463, 1416, 563, 291, 12938, 1108, 2126, 9775, 2687, 547, 519, 1236, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 7219, 17148, 543, 32536, 1108, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 5851, 14527, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 9945, 543, 1382, 256, 4653, 649, 2811, 2469, 547, 2263, 875, 9945, 899, 2806, 520, 9986, 756, 320, 9460, 308, 2160, 960, 2182, 547, 1711, 1007, 1702, 543, 948, 2087, 2486, 269, 2913, 781, 4685, 883, 1614, 1292, 2127, 281, 10647, 1382, 267, 23712, 609, 1866, 267, 543, 8600, 2104, 3401, 780, 272, 269, 18430, 532, 3194, 281, 5994, 1373, 513, 19792, 945, 14560, 6061, 13655, 269, 2334, 781, 1018, 3173, 798, 1169, 1554, 256, 1358, 2307, 2055, 827, 519, 1158, 1472, 721, 543, 1287, 3406, 585, 4267, 1210, 6901, 267, 12220, 267, 7422, 267, 543, 824, 2409, 269, 2311, 2806, 520, 9986, 756, 320, 9460, 308, 2160, 267, 789, 723, 2027, 1004, 1572, 834, 974, 2286, 543, 1382, 5234, 257, 945, 616, 4966, 693, 4466, 1346, 4267, 269, 1452, 4648, 960, 1927, 547, 1628, 593, 4540, 1702, 1247, 849, 12423, 1007, 1919, 269, 1280, 1383, 267, 789, 1522, 1353, 1946, 2371, 1332, 1732, 896, 1978, 2010, 540, 1769, 610, 8495, 875, 2831, 5968, 609, 1142, 824, 269, 2353, 713, 1702, 2337, 721, 1174, 519, 1158, 1732 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11847, 2176, 26216, 5359, 21514, 529, 10005, 16025, 543, 17870, 6229, 2504, 1867, 519, 21514, 529, 10005, 16025, 543, 17870, 6229, 2504, 1867, 267, 3370, 676, 519, 21514, 529, 10005, 8257, 540, 6683, 543, 26216, 1107, 5604, 540, 26216, 267, 568, 606, 5993, 1867, 540, 2698, 4104, 2472, 694, 30099, 543, 3454, 2256, 328, 14186, 4607, 676, 25110, 543, 2249, 7132, 269, 3245, 9325, 4604, 543, 533, 16072, 547, 4776, 31944, 8440, 267, 16025, 2472, 3091, 513, 3102, 2039, 540, 1164, 7779, 3574, 2472, 4945, 547, 1451, 811, 269, 700, 3784, 630, 26410, 7005, 1031, 1152, 538, 5087, 13314, 264, 610, 16025, 630, 4310, 538, 519, 1964, 540, 519, 7005, 6340, 1158, 264, 568, 513, 1826, 540, 3574, 602, 814, 1044, 9268, 883, 20832, 543, 1544, 802, 267, 513, 3942, 538, 519, 1184, 540, 3574, 2504, 331, 3784, 568, 5631, 1031, 585, 7293, 5301, 855, 814, 1082, 824, 3096, 607, 1134, 972, 616, 1079, 1292, 2010, 540, 29421, 621, 563, 20755, 828, 2504, 568, 519, 3119, 2707, 540, 8907, 689, 4357, 16025, 4133, 538, 519, 8087, 2829, 267, 21570, 267, 543, 5836, 807, 4718, 8421, 338, 616, 519, 1034, 3407, 1587, 267, 855, 621, 3217, 5756, 547, 1332, 891, 3677, 8006, 4054, 555, 25751, 540, 4130, 4054, 602, 666, 581, 8246, 547, 1118, 17870, 543, 1957, 2472, 610, 269, 590, 3464, 12326, 1699, 281, 4104, 2359, 543, 16025, 2504, 538, 519, 721, 5045, 1496, 323, 17805, 5423, 585, 28492, 270, 684, 4104, 2359, 543, 16025, 2504, 538, 519, 721, 5045, 1496, 323, 17805, 5423, 585, 28492, 270, 684, 1243, 2829, 29421, 29492, 563, 25215, 976, 4601, 3812, 267, 11179, 7123, 2298, 1094, 1233, 16025, 547, 3986, 707, 1870, 910, 909, 332, 16025, 568, 513, 1713, 562, 867, 545, 1094, 1233, 16025, 16073, 938, 2185, 4718, 332, 1571, 538, 1710, 1633, 723, 606, 5993, 2504, 4390, 540, 476, 1428, 2929, 12945, 7397, 540, 269, 2974, 16025, 2504, 267, 4123, 267, 4616, 267, 543, 3902, 7194, 476, 3422, 276, 547, 476, 1220, 276, 28642, 561, 875, 731, 8087, 2829, 8257, 540, 6683, 4104, 3028, 563, 27987, 950, 1031, 585, 16025, 2504, 729, 1336, 547, 6556, 606, 1256, 3152, 2132, 950, 1031, 607, 513, 20744, 18992, 610, 16314, 1753, 527, 729, 1336, 602, 4797, 946, 540, 2244, 585, 16025, 2504, 729, 1100, 3476, 19311, 267, 543, 602, 16025, 1705, 711, 5352, 2614, 8907, 547, 15558, 519, 2810, 3454, 3976, 267, 25210, 941, 13251, 547, 6460, 2244, 689, 16025, 563, 20755, 828, 2472, 14791, 2488, 3574, 2472, 14791, 267, 4152, 543, 17874, 2533, 269, 10434, 6229, 16025, 2504, 568, 519, 1184, 540, 5883, 6763, 540, 28301, 4054, 547, 11694, 29762, 3977, 519, 2504, 1184, 568, 711, 5276, 1317, 824, 2188, 1590, 581, 2808, 267, 1519, 2344, 762, 543, 1875, 27360, 564, 762, 5370, 267, 2883, 2640, 267, 2359, 2853, 267, 543, 519, 2825, 6286, 540, 1346, 2359, 563, 22746, 2200, 3895, 513, 2178, 4104, 2472, 2872, 538, 519, 8087, 2829, 519, 721, 7472, 1472, 476, 15686, 278, 5479, 12945, 3952, 540, 4853, 5180, 6229, 267, 3982, 569, 1447, 982, 513, 8717, 1274, 2993, 1068, 515, 1034, 1271, 2472, 6220, 4853, 5180, 6229, 616, 29421, 267, 17870, 2472, 267, 533, 16072, 543, 32320, 518, 335, 4631, 585, 16025, 2472, 7283, 7123, 269, 2974, 16025, 2504, 267, 4123, 267, 4616, 267, 543, 3902, 7194, 476, 3422, 276, 385, 497, 1220, 273, 28642, 561, 875, 731, 8087, 2829, 8257, 540, 6683, 4104, 3028, 269, 0, 763, 5626, 2360, 540, 10795, 2923, 593, 621, 568, 5156, 602, 9117, 856, 971, 5208, 607, 10353, 547, 1175, 13156, 519, 5208, 3123, 519, 1453, 547, 269, 20531, 543, 1198, 1557, 910, 3123, 540, 1153, 5208, 476, 26297, 276, 1913, 476, 1015, 3817, 1018, 5626, 1198, 1281, 5208, 538, 519, 2923, 723, 593, 1453, 269, 9012, 5208, 1557, 560, 3736, 621, 568, 1360, 1455, 538, 4853, 1242, 2477, 585, 513, 7622, 547, 723, 693, 2547, 835, 8613, 538, 1249, 267, 621, 568, 865, 1455, 602, 621, 568, 269, 6496, 5208, 538, 519, 2923, 3132, 5208, 538, 519, 1483, 3132, 5208, 538, 519, 1483, 1158, 630, 684, 1751, 1557, 264, 513, 5318, 2039, 540, 3123, 540, 5208, 971, 607, 269, 19805, 519, 1557, 1888, 585, 2014, 543, 1198, 1557, 1826, 568, 711, 2352, 3123, 543, 2360, 540, 519, 8560, 540, 3728, 1426, 1514, 2923, 1198, 593, 1762, 563, 763, 1198, 540, 2923, 5208, 593, 1453, 13284, 16037, 910, 1350, 754, 1446, 1775, 3494, 2923, 5208, 814, 513, 7096, 1764, 593, 1453, 952, 596, 10150, 713, 1557, 269, 476, 1911, 2014, 543, 1198, 1557, 3584, 1018, 1198, 814, 1514, 2923, 1185, 593, 1920, 3347, 15502, 865, 2014, 543, 1198, 3594, 616, 2854, 538, 1114, 12043, 269, 5788, 2638, 856, 938, 1283, 1863, 3594, 593, 2014, 543, 1198, 5208, 547, 948, 596, 2328, 707, 1378, 1557, 269, 5192, 606, 2626, 585, 1412, 31095, 513, 2014, 543, 1198, 1557, 827, 5208, 538, 7239, 262, 543, 1265, 6780, 948, 585, 824, 1514, 9443, 2055, 693, 679, 4925, 563, 2414, 6542, 513, 2014, 543, 922, 1198, 568, 2760, 602, 2653, 538, 2854, 1106, 2638, 856, 938, 2014, 543, 1198, 1557, 5439, 547, 519, 2360, 540, 1514, 2923, 593, 269, 10017, 3594, 281, 519, 2360, 540, 10795, 3381, 3756, 593, 10728, 2623, 269, 901, 1383, 3594, 7710, 1585, 2081, 602, 2923, 3732, 2014, 543, 1198, 1557, 593, 2923, 2360, 3732, 2014, 543, 1198, 1557, 593, 2923, 2360, 593, 2486, 563, 21292, 281, 2923, 5208, 1557, 267, 5208, 538, 2923, 1557, 519, 2360, 540, 2923, 5208, 666, 2014, 2168, 14699, 547, 519, 1004, 267, 2523, 519, 6107, 2923, 5208, 568, 4330, 607, 519, 24575, 540, 2168, 2962, 602, 9292, 1206, 610, 19754, 269, 1401, 1842, 7480, 2014, 1198, 3594, 910, 2014, 543, 1198, 1557, 910, 3123, 540, 1153, 5208, 519, 2360, 540, 2923, 5208, 593, 1453, 1557, 910, 27642, 596, 616, 513, 2385, 269, 0, 27807, 996, 923, 1557, 321, 332, 1220, 279, 333, 6915, 996, 923, 5528, 585, 1028, 525, 572, 618, 5057, 476, 272, 630, 10472, 7084, 5161, 540, 513, 2938, 6709, 3878, 269, 12713, 996, 923, 3594, 607, 938, 2029, 5170, 547, 4434, 267, 1007, 23484, 538, 4915, 616, 4362, 609, 891, 1007, 7835, 3978, 5683, 543, 5837, 2055, 269, 12713, 996, 923, 981, 2055, 2789, 1781, 545, 788, 4206, 1863, 4647, 1934, 2707, 281, 6915, 996, 923, 3584, 1557, 2055, 981, 4266, 6915, 996, 923, 21038, 910, 1286, 2651, 2852, 269, 4033, 1004, 2243, 519, 3106, 540, 513, 1184, 602, 3322, 19249, 25450, 1053, 616, 4280, 547, 8495, 519, 2243, 281, 21249, 19875, 585, 519, 6915, 996, 923, 1557, 269, 7457, 547, 936, 476, 1911, 267, 1822, 2347, 3594, 543, 2165, 4574, 1007, 2055, 540, 6915, 996, 923, 568, 723, 1402, 6244, 909, 607, 513, 1267, 540, 7760, 538, 10285, 4915, 269, 12713, 996, 923, 1557, 543, 3924, 7881, 3594, 16080, 712, 1027, 6915, 996, 923, 3594, 616, 1134, 11295, 543, 28426, 30149, 950, 519, 7881, 1557, 568, 2854, 676, 1004, 945, 563, 27807, 996, 923, 4016, 547, 11786, 7881, 602, 8451, 607, 513, 1267, 540, 8441, 1500, 538, 4915, 543, 7350, 621, 568, 513, 1353, 602, 9388, 609, 5683, 2055, 602, 2097, 269, 3399, 4974, 6915, 996, 923, 281, 1557, 2055, 1451, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 9181, 519, 4473, 540, 1974, 673, 1557, 538, 519, 476, 1240, 628, 2540, 519, 3574, 1189, 5098, 7432, 5967, 883, 2239, 1557, 3501, 1557, 827, 8885, 6915, 996, 923, 1557, 563, 27807, 996, 923, 1557, 855, 1804, 11454, 543, 1287, 4646, 689, 6915, 996, 923, 3976, 3605, 519, 3196, 547, 1480, 2338, 2055, 547, 5464, 8741, 1431, 786, 21102, 2838, 269, 634, 554, 338, 25900, 335, 6437, 3096, 2013, 2090, 543, 4901, 2055, 547, 6338, 6915, 996, 923, 4798, 543, 2152, 883, 519, 2328, 606, 1557, 689, 835, 540, 519, 1114, 269, 12713, 996, 923, 1957, 281, 27514, 4719, 9584, 27514, 4719, 9870, 519, 2243, 540, 11156, 1275, 519, 7022, 779, 14643, 593, 6915, 996, 923, 563, 7476, 1569, 547, 6915, 996, 923, 3594, 1152, 689, 4550, 3594, 7396, 2164, 476, 272, 910, 476, 1789, 1205, 4974, 2221, 543, 1205, 519, 9344, 596, 1616, 1152, 693, 4550, 612, 904, 1260, 269, 12713, 996, 923, 1557, 2688, 2875, 32275, 4145, 827, 28295, 2831, 585, 1426, 979, 3564, 2055, 540, 1426, 3106, 538, 1840, 547, 6161, 585, 3662, 10304, 269, 0, 8450, 824, 5240, 1299, 19410, 4930, 689, 942, 6780, 9212, 563, 763, 637, 1100, 8969, 891, 4081, 11226, 666, 2347, 707, 6780, 855, 2436, 610, 711, 602, 338, 32533, 568, 909, 585, 7521, 454, 21132, 827, 942, 585, 891, 3211, 585, 23021, 998, 2034, 3446, 547, 948, 873, 723, 513, 6109, 9787, 540, 3764, 3108, 543, 23234, 609, 4190, 12449, 543, 22111, 3007, 547, 519, 8748, 3877, 540, 10213, 942, 454, 15697, 6780, 543, 21249, 2645, 585, 16929, 543, 1053, 602, 12927, 2875, 1565, 998, 2259, 543, 8216, 5955, 454, 19530, 762, 9752, 13088, 22291, 7792, 3992, 1544, 1433, 3817, 543, 6780, 7084, 9212, 454, 763, 1655, 2707, 585, 1863, 12408, 3211, 31418, 1512, 547, 3446, 811, 967, 3704, 543, 1655, 540, 782, 476, 1911, 17676, 256, 15206, 476, 272, 560, 6103, 476, 273, 526, 6103, 476, 274, 6113, 6103, 476, 275, 628, 6103, 476, 276, 628, 6103, 543, 811, 2336, 1103, 2979, 6780, 9212, 596, 786, 1205, 782, 519, 9344, 3211, 4358, 689, 9656, 1141, 596, 666, 2259, 2055, 593, 519, 1880, 1888, 454, 24154, 4068, 6780, 9212, 948, 547, 12927, 1983, 693, 1753, 1247, 2679, 513, 1053, 6015, 543, 4163, 1478, 1063, 1753, 543, 1153, 454, 763, 1655, 2707, 585, 1863, 8691, 3211, 31418, 1512, 547, 3446, 811, 967, 3704, 543, 1655, 540, 782, 476, 1911, 17676, 256, 15206, 476, 272, 560, 6103, 476, 273, 526, 6103, 476, 274, 6113, 6103, 476, 275, 628, 6103, 476, 276, 628, 6103, 543, 811, 2336, 290, 592, 591, 4975, 5664, 3427, 5713, 476, 6924, 628, 3446, 1053, 543, 568, 851, 540, 26943, 591, 4975, 1133, 1881, 3427, 10588, 454, 23921, 17676, 7792, 6780, 12125, 610, 1732, 1634, 607, 2875, 7084, 9212, 1284, 557, 3893, 707, 4988, 256, 7179, 543, 15814, 547, 707, 1362, 610, 1920, 543, 9983, 873, 609, 513, 1007, 835, 1142, 3018, 1703, 616, 476, 1839, 540, 873, 0, 263, 3738, 272, 269, 2443, 296, 786, 1491, 606, 1271, 1449, 14182, 23102, 17764, 267, 516, 958, 476, 2336, 288, 269, 14187, 9939, 645, 5861, 784, 17894, 595, 269, 11039, 2944, 454, 263, 3738, 273, 15660, 3893, 7788, 779, 1007, 2232, 30269, 6998, 1200, 31225, 8147, 810, 594, 1223, 3643, 1200, 2063, 15964, 563, 288, 5405, 492, 5976, 645, 5405, 492, 2421, 595, 5405, 492, 5228, 454, 263, 3738, 274, 269, 2443, 8005, 5280, 25014, 773, 609, 1200, 2296, 1765, 30668, 269, 2701, 6026, 9887, 563, 288, 269, 7102, 7853, 645, 269, 2368, 7853, 595, 269, 12321, 1328, 454, 263, 476, 275, 23102, 306, 639, 534, 8147, 6343, 779, 707, 31233, 540, 5329, 3742, 538, 1362, 1765, 7883, 532, 547, 5127, 2038, 543, 3478, 909, 2038, 563, 288, 5405, 492, 4725, 527, 645, 5405, 492, 22364, 595, 5405, 492, 572, 4038, 454, 263, 3738, 276, 23102, 2710, 596, 1419, 979, 547, 519, 15547, 1765, 5591, 267, 27702, 269, 594, 1810, 1406, 899, 5026, 693, 782, 563, 288, 269, 2141, 645, 269, 2760, 595, 269, 3006, 667, 269, 2356, 454, 263, 3738, 277, 28560, 649, 723, 513, 2603, 540, 30269, 8147, 933, 786, 917, 811, 827, 938, 1158, 563, 288, 5405, 492, 32474, 645, 5405, 492, 28090, 595, 5405, 492, 728, 553, 454, 263, 3738, 278, 269, 2691, 596, 723, 7965, 267, 798, 3314, 547, 1547, 10521, 9843, 616, 1732, 982, 835, 563, 288, 6230, 820, 513, 3375, 645, 269, 2285, 909, 595, 269, 2532, 585, 948, 454, 263, 3738, 279, 23102, 3963, 941, 519, 4600, 865, 6126, 454, 1765, 10303, 789, 30269, 513, 1007, 3282, 7615, 263, 418, 366, 373, 13200, 364, 264, 538, 519, 1858, 2063, 3018, 269, 0, 1432, 1411, 10261, 547, 5700, 6168, 6184, 6081, 18650, 454, 3891, 945, 814, 1072, 814, 4126, 282, 543, 646, 945, 814, 4126, 814, 3388, 563, 7197, 1004, 609, 7378, 4187, 1810, 1406, 917, 789, 723, 621, 585, 1082, 1296, 1765, 2863, 559, 789, 1020, 1826, 476, 273, 3987, 267, 513, 3978, 267, 15400, 2068, 269, 634, 1434, 3377, 568, 602, 952, 1004, 1451, 789, 723, 7378, 4187, 2038, 593, 267, 789, 666, 1419, 2061, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6831, 731, 3799, 1868, 2187, 825, 1948, 15258, 815, 834, 323, 2033, 27029, 4186, 716, 22561, 454, 1721, 2262, 538, 2012, 272, 912, 825, 1820, 27182, 994, 825, 2262, 6834, 2262, 1341, 1412, 315, 333, 262, 0, 342, 815, 3403, 4590, 323, 815, 2715, 322, 281, 530, 29644, 6262, 264, 585, 524, 538, 530, 8679, 2745, 2891, 8133, 257, 952, 782, 5560, 25208, 316, 4939, 476, 273, 2652, 476, 271, 585, 737, 538, 546, 264, 3116, 834, 5591, 5602, 0, 5814, 13483, 29411, 274, 454, 935, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 25154, 6155, 321, 10807, 1948, 21010, 547, 519, 6538, 692, 3698, 4159, 23044, 619, 263, 935, 333, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 13483, 331, 815, 15981, 10345, 22268, 2608, 20978, 18919, 8582, 8991, 717, 4629, 16810, 15760, 2910, 300, 2793, 10933, 18411, 825, 524, 20216, 31146, 4433, 27942, 994, 825, 9343, 815, 524, 8807, 21255, 718, 4590, 825, 585, 4737, 538, 9343, 912, 1038, 1820, 21405, 994, 3698, 4159, 306, 697, 902, 263, 935, 333, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 13483, 331, 272, 815, 15981, 10345, 22268, 2608, 20978, 590, 26996, 16249, 306, 18411, 825, 524, 20216, 31146, 4433, 27942, 272, 994, 825, 9343, 815, 524, 8807, 21255, 718, 4590, 825, 585, 4737, 538, 9343, 912, 1038, 1820, 21405, 2020, 3698, 4159, 8722, 2137, 263, 935, 333, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 13483, 331, 273, 815, 15981, 10345, 22268, 2608, 20978, 30264, 2969, 7838, 2464, 18411, 825, 524, 20216, 31146, 4433, 27942, 273, 994, 825, 9343, 815, 524, 8807, 21255, 718, 4590, 825, 585, 4737, 538, 9343, 912, 1038, 1820, 21405, 2020, 3698, 1205, 14813, 334, 263, 935, 333, 267, 2012, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 524, 20216, 31146, 3488, 10345, 22268, 623, 8991, 2177, 267, 29486, 22814, 267, 590, 20846, 3633, 20978, 590, 26996, 16249, 306, 18040, 16730, 715, 28719, 815, 7790, 10758, 29308, 15760, 590, 20846, 3633, 23370, 290, 700, 8379, 3951, 476, 1015, 3299, 630, 4067, 267, 4917, 825, 9343, 815, 524, 8807, 21255, 718, 4590, 825, 585, 4737, 538, 9343, 281, 476, 1948, 1820, 4737, 676, 4737, 454, 1038, 1820, 21405, 2020, 3698, 9337, 293, 12294, 263, 935, 333, 267, 2012, 267, 12593, 267, 2249, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 524, 20216, 31146, 3488, 308, 11520, 12442, 18919, 8582, 8991, 590, 4953, 717, 2894, 4785, 284, 7790, 267, 9915, 4488, 22494, 284, 7790, 18040, 16730, 2910, 300, 2793, 10933, 815, 7790, 3299, 630, 2102, 639, 267, 2249, 267, 2012, 267, 4917, 825, 524, 20216, 31146, 3488, 10345, 22268, 717, 2894, 4785, 267, 9501, 4488, 22494, 267, 2910, 300, 2793, 10933, 20978, 18919, 8582, 8991, 18040, 16730, 2910, 300, 2793, 10933, 815, 7790, 3299, 630, 4067, 267, 11723, 825, 9343, 815, 524, 8807, 21255, 718, 4590, 3097, 825, 585, 4737, 538, 9343, 912, 1038, 1820, 21405, 2020, 3698, 7696, 4504, 24382, 697, 902, 263, 935, 333, 267, 4067, 267, 17367, 267, 331, 6327, 29679, 32484, 2187, 825, 524, 815, 598, 333, 269, 19387, 4590, 825, 524, 20216, 31146, 3488, 27486, 12224, 5442, 15674, 590, 26996, 16249, 306, 630, 2793, 10933, 267, 623, 8991, 2177, 267, 29486, 22814, 267, 590, 20846, 3633, 264, 966, 3201, 308, 2464, 263, 29845, 29845, 29845, 24047, 3299, 630, 4067, 267, 1268, 267, 4087, 267, 8289, 539, 267, 4917, 825, 524, 20216, 31146, 3488, 10345, 22268, 715, 28719, 267, 623, 8991, 2177, 267, 29486, 22814, 267, 590, 20846, 3633, 20978, 590, 26996, 16249, 306, 18040, 16730, 623, 8991, 2177, 815, 7790, 6730, 29486, 22814, 815, 7790, 6730, 590, 20846, 3633, 815, 7790, 3299, 263, 17367, 267, 4087, 267, 8289, 539, 267, 11723, 825, 9343, 815, 524, 8807, 21255, 718, 4590, 3097, 825, 585, 4737, 538, 9343, 912, 1038, 1820, 21405, 2020, 3698, 1292, 3890, 1384, 825, 1820, 2891, 24464, 340, 24097, 333, 272, 2529, 19491, 513, 8768, 267, 4159, 519, 476, 1015, 1034, 2487, 8289, 902, 1422, 333, 273, 269, 10000, 11845, 8768, 263, 2102, 639, 543, 2249, 264, 1422, 333, 274, 269, 11900, 1068, 513, 1007, 8289, 532, 540, 8768, 1422, 333, 275, 6185, 529, 2452, 5810, 1310, 24450, 14826, 276, 269, 304, 3726, 634, 5358, 5602, 825, 3593, 19152, 815, 476, 271, 692, 825, 1247, 3593, 19152, 11203, 476, 275, 912, 1038, 1820, 2891, 15675, 606, 4781, 630, 272, 268, 276, 2567, 19515, 1038, 3593, 19152, 815, 3403, 4590, 1038, 952, 3593, 19152, 2652, 834, 272, 13426, 2018, 4159, 23044, 619, 263, 935, 333, 994, 2018, 1820, 19629, 333, 11767, 519, 1455, 2012, 540, 519, 8768, 281, 19515, 2018, 3403, 293, 12294, 11243, 815, 3403, 4590, 2018, 1205, 14813, 334, 263, 935, 333, 267, 3403, 293, 12294, 11243, 2020, 1038, 8640, 3593, 19152, 2652, 834, 273, 257, 1384, 2018, 4159, 23044, 619, 263, 935, 333, 994, 2018, 1820, 19629, 333, 11767, 519, 2012, 540, 8768, 281, 19515, 2018, 3403, 293, 12294, 11243, 815, 3403, 4590, 2018, 1820, 19629, 333, 11767, 513, 1007, 12593, 2012, 281, 19515, 2018, 1007, 7049, 639, 815, 3403, 4590, 2018, 1820, 19629, 333, 11767, 513, 1007, 2249, 2012, 281, 19515, 2018, 1007, 11854, 2886, 815, 3403, 4590, 2018, 9337, 293, 12294, 263, 935, 333, 267, 3403, 293, 12294, 11243, 267, 1007, 7049, 639, 267, 1007, 11854, 2886, 2020, 1038, 8640, 3593, 19152, 2652, 834, 274, 13426, 2018, 3403, 293, 12294, 11243, 815, 3403, 4590, 2018, 1820, 2891, 11767, 513, 1007, 1268, 281, 19515, 2018, 1007, 31094, 815, 3403, 4590, 2018, 1820, 19629, 333, 11767, 513, 1007, 4087, 281, 19515, 2018, 1007, 19613, 815, 3403, 4590, 2018, 1820, 19629, 333, 11767, 513, 1007, 4266, 630, 312, 312, 312, 312, 5336, 300, 5937, 291, 2567, 19515, 2018, 1007, 14630, 815, 3403, 4590, 2018, 7696, 4504, 24382, 697, 902, 263, 935, 333, 267, 3403, 293, 12294, 11243, 267, 1007, 31094, 267, 1007, 19613, 267, 1007, 14630, 2020, 1038, 8640, 3593, 19152, 2652, 834, 275, 257, 1384, 454, 2018, 4159, 23044, 619, 263, 935, 333, 994, 2018, 1820, 19629, 333, 11767, 519, 2012, 540, 519, 8768, 281, 19515, 2018, 4159, 306, 697, 902, 263, 935, 333, 2020, 1038, 8640, 3593, 19152, 2652, 834, 276, 257, 1384, 2018, 1820, 19629, 333, 12552, 585, 4947, 676, 269, 16593, 547, 1294, 596, 1586, 8206, 5602, 2018, 2736, 692, 1038, 3116, 912, 2018, 1820, 19629, 333, 2791, 1590, 4283, 630, 272, 268, 276, 264, 15419, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 3698, 1858, 263, 12296, 267, 4463, 2187, 825, 1267, 815, 8700, 2608, 4463, 454, 825, 2132, 1267, 692, 14310, 815, 1858, 263, 276, 267, 476, 277, 994, 14310, 272, 815, 1858, 263, 275, 267, 1015, 994, 14310, 273, 815, 1858, 263, 274, 267, 278, 994, 2745, 31114, 994, 2745, 31114, 272, 994, 2745, 31114, 273, 2020, 3698, 10208, 16325, 272, 267, 1003, 273, 2187, 825, 1267, 815, 1003, 272, 910, 1003, 273, 454, 825, 2132, 1267, 692, 2381, 639, 815, 10208, 263, 272, 267, 276, 994, 2381, 639, 272, 815, 10208, 263, 274, 267, 273, 994, 2381, 639, 273, 815, 10208, 263, 279, 267, 273, 994, 2745, 263, 2381, 639, 994, 2745, 263, 2381, 639, 272, 994, 2745, 263, 2381, 639, 273, 2020, 3698, 7941, 16325, 272, 267, 1003, 273, 2187, 825, 1267, 815, 1003, 272, 1315, 1003, 273, 454, 825, 2132, 1267, 692, 15965, 815, 7941, 263, 273, 267, 275, 994, 15965, 272, 815, 7941, 263, 274, 267, 277, 994, 2745, 5560, 643, 994, 2745, 5560, 643, 272, 2020, 3698, 1039, 16325, 272, 267, 1003, 273, 2187, 825, 1267, 815, 1003, 272, 1341, 1003, 273, 454, 825, 2132, 1267, 692, 8999, 272, 815, 1039, 263, 273, 267, 274, 994, 8999, 273, 815, 1039, 263, 276, 267, 279, 994, 2745, 4433, 636, 272, 994, 2745, 4433, 636, 273, 264, 0, 11687, 19111, 815, 3403, 3488, 5073, 19111, 8266, 815, 29129, 1721, 1775, 538, 2039, 6025, 652, 19111, 2187, 825, 8865, 8266, 6910, 263, 3863, 17750, 3488, 10807, 2020, 3698, 1205, 318, 16787, 294, 263, 26161, 8266, 267, 19011, 2187, 825, 1267, 815, 11713, 825, 585, 1775, 538, 26275, 8266, 912, 1038, 952, 10581, 9217, 264, 3436, 10581, 5416, 591, 2187, 2018, 1267, 6910, 9217, 994, 825, 2132, 1412, 10065, 274, 325, 262, 260, 9230, 15615, 12759, 31114, 4297, 270, 6352, 263, 26161, 8266, 4297, 265, 1911, 2020, 692, 1721, 737, 538, 8865, 8266, 912, 825, 737, 815, 737, 21858, 3488, 30386, 825, 562, 815, 703, 17347, 314, 271, 7481, 825, 27551, 8266, 815, 4786, 17301, 267, 737, 314, 272, 15311, 7481, 825, 3328, 815, 1412, 10065, 274, 325, 262, 260, 263, 15615, 4433, 636, 263, 3891, 697, 8266, 4297, 270, 6352, 263, 3891, 697, 8266, 4917, 825, 1820, 1205, 318, 16787, 294, 263, 3891, 697, 8266, 267, 3328, 11924, 257, 260, 4840, 0, 258, 2750, 2075, 338, 773, 476, 26631, 273, 692, 3698, 568, 26073, 13425, 3799, 2187, 825, 1267, 815, 476, 272, 454, 825, 524, 660, 815, 476, 272, 454, 825, 1247, 1267, 2999, 562, 912, 1038, 1267, 6834, 630, 277, 265, 322, 660, 994, 1038, 524, 660, 6834, 476, 272, 454, 825, 2132, 524, 660, 7531, 2745, 568, 26073, 13425, 9272, 3488, 29125, 0, 5814, 621, 1068, 8962, 692, 3698, 5635, 21803, 4433, 272, 29679, 273, 2187, 825, 524, 660, 815, 476, 271, 454, 825, 585, 1775, 538, 2039, 12759, 4433, 272, 15892, 1038, 952, 630, 338, 272, 5157, 316, 11203, 521, 273, 5157, 316, 2187, 2018, 524, 660, 6834, 476, 272, 454, 825, 2132, 524, 660, 2652, 476, 272, 692, 3698, 12673, 305, 792, 9792, 618, 9272, 26161, 2187, 825, 782, 19111, 815, 621, 1068, 8962, 269, 11279, 20706, 9272, 26161, 2020, 825, 585, 2013, 538, 782, 19111, 912, 1038, 31575, 815, 6936, 454, 1038, 585, 1775, 538, 2039, 12759, 6262, 848, 9984, 272, 2187, 2018, 952, 711, 5635, 21803, 6262, 848, 5157, 3910, 2013, 5157, 266, 272, 316, 2187, 3546, 31575, 815, 8771, 454, 3546, 2736, 454, 1038, 952, 31575, 912, 2018, 2132, 6936, 454, 825, 2132, 8771, 19638, 19638, 6358, 26161, 815, 22373, 629, 20350, 834, 6277, 20350, 834, 12711, 257, 6540, 454, 6358, 26161, 815, 22373, 19487, 20350, 834, 6277, 321, 20350, 834, 321, 629, 257, 6540, 454, 6358, 26161, 815, 22373, 29582, 20350, 834, 629, 343, 20350, 834, 1314, 343, 20350, 834, 629, 343, 20350, 834, 29582, 257, 6540, 6358, 26161, 815, 22373, 29582, 20350, 834, 629, 343, 20350, 834, 1314, 343, 20350, 834, 29582, 257, 6540, 2745, 12673, 305, 792, 9792, 618, 9272, 26161, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3849, 738, 17402, 1107, 19369, 585, 519, 717, 3633, 10378, 18873, 543, 9978, 10341, 270, 31955, 16721, 19019, 454, 763, 16989, 17402, 5358, 2488, 1863, 6044, 547, 4079, 630, 1137, 476, 1626, 610, 4587, 264, 945, 1616, 547, 2087, 741, 2596, 5578, 2157, 538, 1931, 547, 4434, 741, 9036, 610, 2069, 3853, 269, 1284, 666, 948, 596, 2087, 707, 2542, 267, 1603, 543, 2979, 1983, 267, 610, 948, 596, 1831, 2780, 2148, 622, 269, 1284, 666, 849, 4217, 607, 5912, 883, 2852, 269, 5903, 539, 2630, 616, 519, 1699, 1362, 4609, 269, 1403, 891, 3681, 1810, 1405, 960, 585, 596, 267, 3346, 519, 16989, 17402, 8433, 454, 306, 7428, 270, 11764, 1067, 4147, 16511, 725, 543, 21480, 281, 8437, 3371, 454, 11917, 8877, 2659, 717, 3633, 10378, 24547, 5448, 454, 763, 4937, 12409, 4886, 630, 294, 3633, 10378, 264, 4255, 5512, 2043, 945, 723, 711, 6192, 1164, 1153, 547, 3489, 513, 4400, 3427, 4982, 2526, 1890, 24547, 5448, 689, 519, 3557, 540, 19578, 269, 901, 5909, 5809, 602, 606, 1367, 814, 6913, 513, 1377, 540, 3872, 1646, 13380, 547, 602, 540, 513, 1164, 1153, 10927, 269, 634, 717, 3633, 10378, 15149, 786, 1683, 1569, 547, 1732, 6009, 267, 543, 13675, 547, 2852, 543, 2866, 3292, 269, 769, 1931, 547, 3489, 519, 26885, 267, 606, 1367, 1590, 6707, 2347, 4152, 538, 519, 1739, 1641, 2127, 281, 5678, 8551, 7335, 267, 5678, 8551, 5675, 267, 3163, 267, 4317, 5525, 543, 9119, 269, 634, 717, 3633, 10378, 4255, 616, 2139, 538, 2296, 267, 5053, 543, 3943, 543, 616, 2139, 538, 14595, 12043, 585, 2043, 609, 13006, 9124, 563, 301, 11246, 910, 6732, 19369, 585, 519, 717, 3633, 10378, 18873, 454, 301, 6717, 1631, 3091, 1863, 2228, 7041, 6030, 585, 519, 717, 3633, 10378, 4255, 998, 606, 25191, 1982, 1572, 1775, 1790, 987, 1811, 269, 1411, 949, 581, 513, 1434, 11134, 585, 713, 4781, 952, 596, 912, 1892, 5620, 6325, 1569, 547, 513, 2780, 609, 1164, 3432, 4950, 4276, 267, 23295, 693, 1753, 563, 1892, 5620, 2596, 2780, 1983, 971, 607, 13691, 532, 267, 1210, 4757, 543, 10188, 519, 4950, 563, 1892, 5620, 519, 2702, 547, 960, 10446, 543, 581, 8348, 547, 6108, 693, 2547, 476, 276, 268, 278, 3108, 829, 3018, 4974, 2228, 563, 1892, 10426, 513, 13307, 1449, 538, 2542, 543, 2979, 630, 323, 1005, 10066, 1916, 8005, 568, 14718, 547, 2253, 4152, 888, 31714, 616, 14718, 547, 2253, 4152, 952, 789, 2743, 519, 1739, 7355, 912, 268, 476, 1704, 1296, 2025, 610, 4587, 454, 268, 3502, 4867, 19801, 538, 1164, 1153, 454, 268, 3502, 513, 1164, 1153, 10927, 454, 763, 1739, 3029, 949, 581, 2838, 543, 666, 581, 5833, 689, 519, 16989, 17402, 8433, 693, 715, 6717, 912, 268, 4400, 3427, 29100, 4813, 1107, 1403, 707, 4271, 908, 1362, 814, 711, 21783, 267, 596, 1590, 723, 513, 1106, 9896, 676, 2576, 538, 519, 1164, 1153, 17548, 602, 596, 723, 13166, 32585, 689, 1153, 563, 268, 9977, 531, 18983, 2153, 4813, 910, 1403, 596, 616, 896, 476, 1240, 267, 596, 786, 849, 991, 10479, 689, 707, 2385, 610, 27369, 547, 1449, 8259, 596, 616, 9310, 267, 32682, 1027, 610, 723, 513, 1126, 563, 1692, 798, 594, 1205, 3323, 888, 268, 2037, 2651, 618, 910, 634, 1101, 1900, 568, 547, 1305, 909, 606, 13393, 609, 519, 16989, 17402, 8433, 693, 19566, 19578, 7991, 5441, 269, 1306, 851, 540, 519, 27350, 1184, 267, 596, 786, 960, 856, 606, 2069, 1544, 799, 786, 2697, 519, 1983, 596, 6999, 547, 10536, 585, 1967, 538, 2852, 610, 519, 9036, 563, 268, 19369, 910, 4107, 1004, 991, 547, 2087, 741, 1983, 1354, 12394, 519, 717, 3633, 10378, 4255, 269, 9122, 593, 4879, 2164, 267, 596, 949, 581, 5219, 547, 606, 14357, 585, 6351, 269, 5213, 1406, 581, 14281, 952, 621, 3217, 693, 2547, 476, 279, 3108, 547, 5965, 538, 1142, 1641, 1858, 269, 26859, 568, 2139, 538, 519, 5049, 7396, 1657, 563, 1432, 568, 519, 1942, 888, 763, 1942, 585, 2921, 519, 717, 3633, 10378, 4255, 543, 8391, 707, 26885, 568, 1269, 1911, 269, 32237, 568, 1813, 950, 4152, 5956, 8259, 824, 12417, 723, 1044, 1500, 269, 1403, 596, 616, 538, 991, 540, 2883, 6351, 267, 5225, 3346, 519, 16989, 17402, 8433, 693, 715, 6717, 563, 1692, 1279, 786, 621, 1491, 547, 2347, 519, 4013, 717, 3633, 10378, 18873, 888, 763, 942, 621, 3217, 547, 5965, 585, 519, 717, 3633, 10378, 4255, 9775, 1851, 2043, 1759, 593, 741, 5578, 1377, 543, 1702, 269, 2659, 14357, 786, 3277, 596, 547, 519, 717, 3633, 10378, 1401, 3133, 518, 585, 1142, 4013, 1641, 1449, 607, 4166, 607, 596, 1780, 606, 4013, 2259, 1449, 269, 6657, 1449, 8464, 786, 581, 4570, 585, 1079, 3275, 865, 621, 781, 5227, 602, 596, 1491, 1142, 1641, 1449, 950, 4712, 269, 634, 4013, 1449, 3217, 827, 476, 279, 3108, 547, 2347, 865, 1810, 1406, 1544, 593, 3257, 621, 782, 538, 835, 1554, 563, 268, 9119, 910, 476, 2004, 2055, 267, 476, 3445, 3764, 454, 268, 5678, 8551, 7335, 910, 476, 2412, 2055, 267, 476, 4792, 3764, 454, 268, 3163, 910, 476, 2004, 2055, 267, 476, 3199, 3764, 454, 268, 4317, 5525, 910, 476, 2004, 2055, 267, 476, 3583, 3764, 454, 268, 5678, 8551, 5675, 910, 476, 2004, 2055, 7132, 606, 1557, 267, 476, 273, 3108, 454, 8489, 543, 950, 666, 594, 1449, 888, 763, 717, 3633, 10378, 1401, 3133, 619, 616, 4092, 538, 519, 4804, 4741, 693, 19566, 19578, 7991, 5441, 538, 2701, 671, 517, 269, 13281, 20499, 616, 2838, 538, 1931, 547, 2327, 602, 1449, 605, 4701, 616, 2139, 269, 4303, 5503, 543, 10543, 4152, 568, 2139, 952, 2877, 269, 7490, 3346, 519, 16989, 17402, 8433, 547, 1305, 909, 707, 13393, 269, 2142, 5423, 547, 1397, 707, 8666, 9517, 563, 16914, 7951, 725, 585, 24894, 454, 31714, 609, 513, 13006, 2168, 610, 1565, 9659, 949, 20618, 585, 1449, 22581, 269, 15845, 540, 513, 9659, 1590, 581, 11643, 547, 519, 3557, 540, 19578, 585, 13170, 540, 22581, 269, 901, 1184, 3217, 1896, 4374, 865, 1865, 707, 2115, 609, 519, 16989, 17402, 8433, 1354, 596, 616, 4712, 547, 2253, 4152, 269, 24722, 6452, 7951, 725, 32369, 22553, 563, 1432, 6060, 568, 2877, 547, 1780, 888, 288, 5934, 6060, 540, 476, 25148, 2798, 593, 1142, 1449, 543, 606, 3328, 6060, 540, 476, 14596, 2798, 593, 782, 2947, 4255, 630, 320, 2698, 540, 476, 273, 267, 7742, 2798, 264, 616, 2838, 585, 3811, 12032, 540, 519, 717, 3633, 10378, 4255, 269, 1403, 513, 8429, 6060, 593, 851, 540, 519, 717, 3633, 10378, 1449, 568, 711, 5833, 267, 596, 786, 581, 2838, 547, 1427, 652, 538, 602, 1641, 1858, 269, 1411, 949, 849, 991, 547, 1427, 652, 538, 835, 610, 811, 2127, 538, 1931, 547, 3489, 519, 3328, 6060, 2838, 269, 1703, 568, 513, 1269, 276, 5279, 585, 1142, 1427, 652, 269, 1411, 786, 581, 4847, 476, 273, 1296, 547, 2347, 519, 717, 3633, 10378, 4255, 563, 1432, 568, 519, 715, 6717, 11565, 2465, 779, 18623, 1222, 888, 10743, 945, 7118, 741, 717, 3633, 10378, 26885, 945, 21078, 538, 519, 19566, 19578, 7991, 5441, 8664, 543, 3328, 476, 20862, 593, 519, 717, 3633, 10378, 4255, 616, 14718, 585, 519, 11565, 2465, 781, 18623, 1222, 952, 789, 6999, 547, 3136, 741, 2852, 2069, 693, 715, 6717, 269, 1280, 811, 1344, 912, 268, 7490, 3247, 676, 519, 7690, 8433, 267, 645, 671, 326, 667, 910, 18740, 476, 28147, 291, 454, 268, 11910, 721, 693, 476, 8517, 268, 31134, 268, 275, 3445, 278, 610, 476, 278, 1321, 268, 27844, 268, 2004, 277, 272, 454, 268, 19478, 519, 715, 6717, 7690, 454, 1432, 827, 1250, 26885, 888, 2252, 596, 616, 476, 1240, 610, 936, 543, 707, 1362, 814, 21783, 689, 1164, 1153, 267, 596, 786, 4309, 707, 26885, 827, 3670, 4374, 1310, 596, 2347, 782, 519, 4170, 269, 19402, 596, 4309, 707, 4013, 26885, 267, 606, 4013, 13973, 786, 581, 2016, 547, 596, 799, 949, 581, 1031, 607, 19027, 585, 4081, 543, 7694, 5301, 269, 1403, 596, 616, 2838, 547, 10505, 513, 717, 3633, 10378, 13973, 585, 7694, 610, 2852, 13675, 267, 5225, 3346, 519, 16989, 17402, 8433, 563, 1432, 2501, 1985, 888, 21093, 707, 717, 3633, 10378, 26885, 568, 513, 17512, 881, 22920, 855, 1810, 1406, 3247, 972, 256, 634, 16989, 17402, 1982, 666, 4217, 607, 596, 2087, 707, 9036, 1983, 610, 2253, 519, 5912, 883, 2852, 269, 1284, 666, 1683, 6351, 538, 519, 1739, 2127, 610, 3277, 596, 547, 912, 268, 1763, 2541, 7041, 454, 268, 19396, 4879, 1299, 13508, 454, 268, 9978, 2780, 454, 294, 3633, 10378, 543, 717, 3633, 13281, 6796, 10378, 616, 10805, 30931, 540, 519, 1977, 7027, 593, 4065, 10378, 543, 949, 711, 581, 1031, 610, 25735, 1510, 519, 2769, 2854, 10479, 540, 519, 1977, 7027, 593, 4065, 563, 3849, 738, 17402, 910, 2296, 607, 513, 5822, 5678, 630, 2464, 299, 8358, 290, 527, 714, 839, 1222, 19369, 454, 12626, 1893, 6044, 568, 2139, 693, 519, 1739, 4609, 267, 609, 930, 16929, 849, 21528, 538, 519, 15114, 1184, 269, 15706, 949, 6443, 519, 1362, 693, 1022, 1448, 1310, 11264, 519, 27350, 1184, 563, 268, 22893, 1222, 6044, 454, 268, 9978, 543, 13591, 26613, 6044, 538, 4928, 5468, 454, 268, 8950, 7924, 6044, 585, 2296, 1893, 6267, 454, 306, 7428, 270, 11764, 1067, 4147, 6753, 543, 21480, 281, 8437, 3371, 0, 31917, 2053, 543, 676, 19079, 2395, 616, 2479, 4503, 2507, 1103, 5168, 267, 789, 1332, 811, 8748, 1369, 519, 2295, 602, 8952, 873, 563, 763, 715, 3253, 5255, 744, 261, 310, 24020, 13749, 912, 763, 476, 5002, 273, 17030, 4860, 2526, 2511, 5721, 1244, 582, 729, 3710, 676, 519, 1715, 3840, 14411, 543, 5375, 24020, 630, 302, 261, 310, 264, 547, 3142, 8436, 547, 519, 3148, 282, 547, 5838, 5370, 547, 543, 689, 1858, 4213, 543, 11396, 282, 543, 547, 3560, 31852, 547, 519, 9241, 3964, 8109, 1715, 3840, 21637, 2218, 267, 4092, 11105, 547, 519, 6728, 269, 901, 7936, 540, 519, 744, 261, 310, 729, 2813, 538, 476, 5002, 273, 538, 3210, 547, 519, 10205, 618, 540, 519, 7404, 26609, 543, 23747, 22575, 269, 4014, 18213, 3028, 30403, 538, 519, 2038, 476, 3707, 271, 779, 267, 26708, 3028, 4797, 998, 519, 4571, 476, 4198, 271, 779, 267, 2394, 519, 744, 261, 310, 779, 28153, 269, 634, 1715, 3840, 3557, 4972, 540, 4856, 14431, 531, 7896, 3576, 936, 26692, 540, 519, 6728, 543, 22058, 730, 621, 609, 519, 6351, 540, 2199, 31852, 563, 9213, 267, 519, 2679, 3568, 10525, 543, 13742, 13991, 547, 519, 1686, 540, 519, 6728, 543, 519, 16749, 267, 607, 1134, 607, 741, 2078, 547, 519, 667, 261, 295, 22575, 267, 519, 4478, 2146, 267, 543, 519, 7890, 563, 21900, 8319, 1117, 538, 715, 3253, 5255, 267, 12924, 267, 7330, 7956, 999, 21806, 540, 700, 6511, 289, 655, 268, 2304, 3534, 540, 674, 5585, 337, 0, 314, 19651, 7493, 316, 1496, 327, 728, 7493, 2639, 5723, 22552, 16898, 281, 634, 476, 1220, 280, 6855, 670, 272, 301, 272, 14798, 589, 3644, 3262, 3533, 5001, 538, 476, 1220, 280, 269, 4595, 1034, 540, 519, 14603, 2665, 941, 4080, 538, 3384, 2477, 267, 4028, 543, 4977, 5868, 2409, 602, 616, 26729, 538, 14605, 9280, 20682, 616, 2556, 269, 769, 713, 1353, 267, 513, 5985, 7020, 1062, 585, 519, 476, 1220, 280, 670, 272, 301, 272, 14798, 589, 3644, 729, 2919, 1210, 513, 9258, 20675, 5296, 848, 8520, 24975, 568, 18540, 29208, 630, 20670, 6441, 21283, 264, 6539, 609, 513, 25551, 17927, 21351, 1067, 607, 513, 8022, 3926, 630, 9188, 793, 730, 607, 533, 342, 20670, 6441, 21283, 1040, 634, 533, 342, 20670, 6441, 21283, 666, 3713, 607, 1906, 607, 476, 1911, 12215, 540, 519, 3644, 734, 6518, 568, 5176, 607, 6213, 607, 1483, 6066, 9258, 20675, 5524, 29920, 5832, 5114, 630, 20670, 6261, 10135, 264, 734, 663, 1281, 711, 3444, 3146, 716, 609, 10717, 540, 12119, 14798, 8290, 269, 1677, 6218, 519, 28252, 540, 519, 533, 342, 20670, 6441, 21283, 1062, 267, 17725, 2220, 629, 5439, 941, 6394, 689, 476, 6321, 2550, 609, 2770, 6438, 2589, 543, 941, 7318, 269, 7464, 6066, 21512, 6261, 10135, 9672, 602, 519, 476, 1220, 280, 670, 272, 301, 272, 14798, 589, 3644, 729, 1459, 538, 476, 2767, 540, 519, 476, 6321, 5439, 269, 2986, 891, 476, 2767, 2318, 5439, 267, 16797, 309, 826, 14118, 27833, 589, 266, 289, 6375, 29614, 520, 2762, 9571, 519, 3644, 538, 1152, 476, 1556, 5439, 630, 1556, 270, 2767, 282, 476, 2412, 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 ]
[ 20464, 476, 4198, 278, 1040, 834, 11328, 12401, 543, 30534, 2668, 16723, 5623, 269, 476, 5038, 630, 272, 2567, 476, 5392, 1700, 2568, 269, 8222, 281, 1015, 269, 9818, 278, 10774, 21916, 5379, 272, 277, 269, 20163, 476, 16328, 5400, 274, 11463, 563, 268, 9745, 3131, 9469, 667, 301, 267, 6428, 14137, 717, 630, 1960, 273, 1040, 834, 9558, 2536, 540, 1565, 2668, 769, 5403, 548, 628, 11445, 924, 267, 570, 269, 3026, 6807, 267, 26036, 26408, 267, 8776, 22978, 630, 2644, 12175, 4139, 15610, 540, 4065, 630, 273, 1196, 12175, 10228, 281, 623, 1120, 17868, 269, 9768, 476, 7818, 268, 271, 268, 5400, 268, 271, 6078, 271, 5379, 268, 274, 269, 32726, 9448, 476, 278, 5392, 28143, 25171, 269, 21444, 689, 519, 3312, 593, 476, 1220, 279, 268, 1321, 268, 6734, 269, 8158, 476, 1001, 272, 268, 1015, 268, 1789, 563, 268, 9745, 1230, 2784, 7131, 630, 18907, 476, 1001, 271, 1040, 834, 288, 2565, 2689, 540, 5312, 2566, 2360, 593, 8901, 1565, 543, 3965, 2668, 18776, 538, 11671, 6261, 2134, 2684, 29108, 1108, 1299, 18143, 24741, 269, 476, 4097, 630, 276, 2567, 476, 278, 5655, 1700, 4649, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 4877, 12639, 321, 335, 269, 1220, 280, 269, 1556, 269, 19740, 269, 20163, 476, 1960, 271, 3374, 4962, 269, 590, 273, 290, 2839, 476, 29300, 16318, 2412, 563, 268, 9745, 5576, 342, 23042, 700, 267, 16423, 744, 307, 630, 21938, 476, 1001, 271, 1040, 834, 13981, 896, 2566, 791, 4202, 3965, 5250, 2668, 11671, 321, 5735, 540, 4804, 543, 15350, 269, 476, 11152, 630, 273, 2567, 476, 8146, 1700, 279, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 8542, 27476, 269, 1220, 280, 269, 6021, 269, 27947, 269, 20163, 476, 3192, 280, 6858, 6734, 269, 590, 273, 290, 2839, 476, 4343, 278, 4792, 280, 6246, 563, 268, 9745, 5576, 342, 23042, 700, 267, 16423, 744, 307, 630, 20826, 476, 1220, 280, 1040, 834, 763, 2796, 12523, 281, 21412, 1565, 543, 4152, 5054, 2061, 3965, 23023, 15717, 1739, 2566, 2668, 15465, 267, 589, 8997, 1299, 19884, 29249, 269, 476, 280, 630, 274, 2567, 476, 26631, 1700, 3607, 269, 8222, 281, 1015, 269, 23841, 279, 14727, 5723, 301, 269, 280, 269, 274, 269, 26631, 269, 20163, 476, 3422, 8064, 278, 6812, 563, 268, 9745, 5576, 342, 23042, 700, 267, 645, 7238, 327, 2590, 518, 589, 267, 16423, 744, 307, 630, 21938, 476, 1220, 280, 1040, 834, 29590, 7519, 338, 2796, 17466, 3965, 2668, 4804, 1299, 15350, 269, 476, 1626, 630, 273, 2567, 476, 8099, 1700, 274, 269, 8222, 281, 1015, 269, 8099, 272, 15828, 332, 269, 10219, 16020, 280, 269, 20163, 476, 4489, 279, 1626, 1626, 563, 268, 9745, 2961, 28952, 715, 630, 1001, 274, 1040, 25665, 540, 10263, 630, 25279, 22770, 1196, 12175, 16592, 590, 18150, 5211, 267, 27359, 281, 21942, 563, 268, 9745, 513, 536, 1546, 14982, 267, 5981, 18588, 700, 5919, 30338, 267, 918, 15811, 282, 18373, 267, 25138, 590, 5919, 631, 13741, 2714, 267, 18496, 808, 269, 630, 1708, 271, 268, 5400, 268, 1321, 1040, 834, 14399, 781, 1920, 4747, 568, 2404, 609, 5042, 1599, 543, 4320, 540, 18751, 711, 17911, 28481, 25283, 2668, 7186, 18058, 269, 476, 1556, 630, 272, 2567, 476, 29024, 271, 269, 645, 756, 13892, 281, 1708, 271, 301, 520, 10870, 907, 1556, 269, 29024, 271, 291, 269, 8222, 281, 1015, 269, 9818, 279, 4882, 29300, 6858, 268, 22903, 268, 9965, 7918, 268, 277, 269, 31192, 476, 14225, 272, 268, 15094, 274, 269, 6751, 290, 476, 278, 5655, 4375, 274, 279, 269, 20163, 476, 27628, 279, 5952, 10695, 563, 268, 9745, 513, 536, 10127, 686, 655, 9539, 528, 6229, 966, 269, 834, 28036, 3493, 337, 10474, 543, 15350, 13809, 2668, 5680, 11022, 269, 5680, 11022, 20941, 269, 8158, 5437, 476, 736, 267, 476, 1001, 275, 563, 268, 9745, 513, 536, 31130, 321, 4094, 808, 300, 267, 670, 592, 6975, 808, 290, 267, 25529, 326, 1245, 681, 267, 667, 532, 525, 667, 293, 267, 16399, 4149, 577, 650, 20793, 630, 20809, 476, 1220, 277, 1040, 834, 11328, 325, 1359, 609, 6436, 540, 3207, 543, 3965, 281, 3207, 267, 3616, 541, 894, 3965, 267, 543, 1997, 894, 13779, 2668, 7351, 10334, 269, 476, 1626, 630, 1724, 2567, 476, 15782, 271, 1700, 275, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 6983, 889, 269, 1220, 277, 269, 4962, 269, 271, 2190, 269, 20163, 476, 12739, 27149, 1704, 269, 590, 273, 290, 2839, 476, 6200, 16318, 6078, 563, 268, 9745, 1325, 3128, 320, 623, 267, 2717, 334, 11860, 656, 7637, 623, 630, 1220, 278, 1040, 834, 28036, 22975, 281, 8177, 593, 5042, 2773, 2668, 11671, 17595, 12278, 8376, 543, 9615, 269, 476, 274, 630, 276, 2567, 476, 4649, 274, 1700, 6858, 269, 6751, 290, 476, 25228, 277, 3066, 273, 269, 20163, 476, 4350, 22650, 5952, 563, 268, 9745, 5576, 8705, 29992, 269, 631, 269, 261, 631, 1638, 21838, 269, 772, 1421, 834, 291, 29174, 15350, 17978, 2580, 834, 28053, 983, 543, 17449, 5020, 3163, 2580, 476, 1220, 277, 454, 268, 9745, 10557, 808, 299, 630, 20606, 476, 1220, 280, 1040, 834, 3725, 4621, 24537, 281, 4509, 3965, 10083, 2668, 12367, 538, 11671, 338, 31190, 269, 476, 3953, 630, 279, 2567, 476, 31979, 1700, 736, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 6745, 1231, 269, 1220, 280, 269, 4962, 269, 16573, 269, 6751, 290, 476, 18458, 5400, 273, 278, 269, 20163, 476, 3422, 28147, 4817, 563, 268, 9745, 10753, 1111, 639, 31246, 267, 6022, 1067, 808, 290, 630, 3192, 275, 1040, 834, 3725, 18586, 540, 18914, 9552, 281, 1323, 1383, 540, 519, 5872, 1063, 1893, 543, 3965, 2668, 4750, 540, 7638, 4472, 4804, 1299, 7638, 4472, 10263, 269, 476, 1724, 630, 276, 2567, 476, 276, 5952, 1700, 6812, 280, 269, 8222, 281, 1015, 269, 6200, 277, 4882, 16573, 273, 268, 276, 4391, 272, 263, 10619, 264, 8517, 1556, 268, 274, 563, 268, 9745, 10753, 1111, 639, 16998, 630, 1960, 273, 1040, 834, 2691, 513, 9114, 3587, 3965, 781, 5168, 281, 15350, 23673, 1310, 4598, 547, 25749, 2668, 7351, 19648, 538, 16723, 3163, 269, 476, 272, 630, 275, 2567, 476, 13199, 1700, 11277, 269, 8222, 281, 1015, 269, 9340, 272, 270, 16409, 278, 268, 279, 7761, 272, 269, 788, 13040, 277, 3445, 3374, 269, 590, 273, 290, 2839, 476, 14096, 280, 1789, 4366, 563, 268, 9745, 3619, 742, 30838, 267, 10162, 539, 9528, 670, 299, 630, 20464, 476, 1960, 279, 1040, 834, 3412, 698, 1588, 10637, 585, 2962, 2621, 281, 7368, 16697, 902, 1291, 547, 2192, 639, 800, 973, 565, 27928, 2668, 15350, 1299, 595, 10744, 269, 476, 2918, 630, 272, 2567, 476, 736, 1700, 3451, 269, 8222, 281, 1015, 269, 23841, 279, 270, 8578, 271, 3953, 13647, 6858, 269, 20163, 476, 4817, 272, 280, 7597, 275, 563, 268, 9745, 12275, 787, 631, 267, 2494, 940, 595, 294, 267, 10753, 1111, 639, 31246, 267, 15593, 2006, 590, 297, 630, 18907, 476, 1960, 277, 1040, 834, 3412, 698, 1588, 10637, 281, 22569, 1456, 513, 6689, 2680, 4870, 919, 6015, 602, 621, 7018, 2668, 5369, 21978, 28743, 1299, 5623, 269, 476, 274, 630, 273, 2567, 476, 21172, 1700, 1691, 269, 8222, 281, 1015, 269, 23841, 279, 270, 8578, 271, 3953, 14862, 736, 269, 20163, 476, 26237, 15946, 7597, 563, 268, 9745, 670, 4094, 2692, 558, 631, 630, 20809, 476, 1839, 267, 476, 1001, 274, 1040, 834, 14722, 666, 15498, 7301, 8823, 883, 8983, 2668, 18917, 5240, 269, 8158, 5147, 476, 2918, 267, 476, 1001, 274, 563, 268, 9745, 834, 288, 10856, 269, 589, 8955, 11237, 269, 589, 26203, 3965, 1701, 630, 341, 8721, 264, 2443, 519, 3744, 262, 4873, 476, 1001, 274, 570, 3633, 2911, 563, 268, 9745, 513, 536, 524, 2558, 976, 517, 12135, 267, 13177, 808, 305, 630, 19688, 476, 1220, 278, 1040, 834, 300, 12817, 6127, 540, 3965, 556, 4621, 24537, 2668, 7186, 17352, 269, 29249, 269, 476, 279, 630, 275, 2567, 476, 26783, 1700, 4037, 269, 8222, 281, 1015, 269, 9818, 279, 14672, 337, 333, 20385, 271, 269, 20163, 476, 15876, 275, 2641, 10619, 269, 590, 273, 290, 2839, 476, 8146, 276, 6078, 273, 563, 268, 9745, 5576, 14525, 667, 267, 623, 3559, 1186, 661, 288, 630, 1001, 272, 1040, 834, 9989, 556, 4621, 24537, 2049, 538, 3425, 286, 2668, 13571, 4536, 538, 19884, 29249, 269, 476, 276, 281, 476, 2190, 269, 8222, 281, 1015, 269, 24783, 280, 11721, 333, 2041, 327, 269, 1001, 272, 269, 1822, 2190, 269, 6751, 290, 476, 29616, 280, 2918, 280, 269, 20163, 476, 21327, 29218, 2641, 563, 268, 9745, 715, 14575, 918, 267, 661, 14373, 26856, 661, 302, 630, 18550, 476, 1001, 271, 1040, 834, 300, 25514, 556, 4621, 24537, 281, 606, 9337, 2668, 7788, 1023, 540, 519, 1715, 3840, 9142, 540, 7070, 269, 476, 15686, 272, 630, 272, 2567, 476, 2767, 1700, 6078, 269, 645, 756, 13892, 281, 1001, 271, 29369, 3008, 288, 15686, 272, 1862, 2767, 301, 269, 8222, 281, 1015, 269, 9340, 272, 10768, 269, 14690, 280, 268, 5780, 274, 273, 269, 1001, 271, 269, 4962, 275, 6246, 11859, 269, 20163, 476, 10711, 280, 2420, 10619, 269, 590, 273, 290, 2839, 476, 4343, 276, 276, 1556, 2412, 563, 268, 9745, 30960, 590, 297, 630, 1220, 271, 268, 6734, 268, 4905, 1040, 834, 14303, 4471, 1998, 543, 556, 4621, 24537, 281, 4724, 513, 5778, 321, 5735, 540, 19551, 2668, 4804, 1299, 15350, 269, 476, 278, 630, 273, 2567, 476, 10463, 1700, 10019, 269, 8222, 281, 1015, 269, 8099, 272, 15828, 332, 269, 278, 269, 273, 269, 10463, 269, 20163, 476, 13040, 276, 4375, 10619, 563, 268, 9745, 9540, 28047, 267, 18234, 2006, 667, 295, 267, 590, 1342, 14390, 623, 267, 8210, 3712, 328, 30838, 267, 16019, 918, 297, 267, 30225, 28905, 5652, 670, 267, 1696, 620, 269, 630, 18907, 476, 1220, 277, 1040, 834, 22546, 338, 540, 513, 476, 1691, 6377, 2635, 15325, 6197, 1982, 593, 17133, 543, 2634, 1599, 2668, 634, 1977, 4750, 540, 15168, 12278, 24741, 269, 476, 1691, 630, 277, 2567, 476, 276, 4343, 1700, 3393, 269, 8222, 281, 1015, 269, 11820, 278, 270, 4905, 12282, 25897, 269, 1822, 28512, 280, 2767, 280, 269, 278, 2420, 1015, 28022, 269, 20163, 476, 15757, 28766, 2537, 269, 590, 273, 290, 2839, 476, 11820, 4037, 280, 3445, 563, 268, 9745, 834, 17220, 31701, 14423, 4741, 1867, 593, 3965, 257, 630, 14457, 1040, 21444, 689, 519, 3312, 630, 14457, 264, 593, 476, 866, 5147, 476, 1220, 278, 269, 8158, 476, 272, 5181, 476, 1220, 279, 563, 268, 9745, 9986, 26856, 670, 267, 623, 7112, 700, 630, 18907, 476, 1220, 276, 1040, 834, 24058, 3965, 2115, 6688, 2668, 18619, 540, 519, 2817, 9142, 540, 7070, 540, 519, 2136, 2276, 540, 3013, 269, 476, 9083, 630, 2190, 2567, 476, 279, 6507, 277, 1700, 3199, 269, 645, 756, 13892, 281, 1220, 276, 303, 2793, 306, 907, 9083, 269, 279, 6507, 277, 302, 269, 8222, 281, 1015, 269, 13040, 274, 9706, 19063, 269, 30588, 32146, 18089, 273, 269, 6751, 290, 476, 12893, 5400, 273, 273, 269, 20163, 476, 14689, 4391, 272, 866, 563, 268, 9745, 513, 536, 7195, 639, 6390, 674, 267, 2494, 322, 639, 334, 590, 630, 21938, 476, 1220, 280, 1040, 834, 24456, 5778, 321, 5735, 281, 689, 10444, 7350, 267, 3842, 2030, 2792, 267, 547, 1514, 2030, 2623, 2668, 15465, 14409, 269, 476, 1015, 630, 11045, 331, 476, 272, 2567, 590, 274, 268, 278, 269, 8222, 281, 1015, 269, 1911, 278, 4882, 9818, 4375, 268, 25484, 268, 271, 2537, 280, 268, 277, 269, 20163, 476, 6245, 7176, 272, 11025, 269, 590, 273, 290, 2839, 476, 280, 6434, 28512, 275, 563, 268, 9745, 513, 536, 524, 546, 670, 539, 5341, 681, 267, 3026, 615, 661, 630, 18550, 476, 1001, 279, 1040, 834, 309, 523, 639, 26850, 339, 1905, 281, 1215, 606, 19196, 3386, 267, 2961, 16622, 5387, 7233, 3718, 2668, 12367, 538, 7233, 3163, 269, 476, 2537, 630, 274, 2567, 476, 13136, 1700, 23056, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 6745, 17852, 269, 1001, 278, 269, 1321, 269, 21916, 269, 20163, 476, 27840, 3607, 280, 10602, 563, 268, 9745, 513, 536, 5292, 28325, 17985, 267, 2961, 22641, 670, 267, 25930, 7773, 589, 267, 4460, 514, 966, 306, 630, 18907, 476, 1220, 280, 1040, 834, 16978, 3740, 3965, 538, 19026, 8038, 339, 1905, 2668, 12713, 19491, 10635, 13511, 269, 476, 4037, 630, 273, 2567, 476, 16318, 1700, 278, 269, 8222, 281, 1015, 269, 6200, 277, 10768, 12500, 1470, 25279, 17057, 269, 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 ]
[ 1109, 7545, 5231, 645, 264, 476, 8517, 1109, 7545, 30336, 1109, 290, 264, 476, 31405, 1109, 14632, 7545, 476, 1109, 291, 264, 476, 6110, 1109, 14632, 7545, 30336, 1109, 292, 264, 476, 5038, 277, 692, 304, 280, 281, 476, 3607, 267, 476, 4097, 267, 476, 1789, 267, 476, 2764, 267, 476, 2190, 267, 7790, 1109, 14632, 1496, 306, 269, 590, 269, 595, 269, 630, 306, 1084, 334, 264, 476, 1001, 274, 6540, 288, 264, 476, 2537, 1109, 14632, 476, 1109, 289, 264, 476, 2918, 1109, 14632, 476, 1109, 290, 264, 476, 736, 1109, 14632, 7545, 30336, 1109, 291, 264, 476, 2420, 1109, 29894, 30336, 1109, 292, 264, 476, 2764, 692, 304, 1015, 281, 476, 9032, 267, 476, 3445, 267, 476, 10602, 267, 476, 4649, 267, 26042, 288, 264, 476, 2764, 1109, 14632, 645, 264, 476, 2767, 1109, 14632, 476, 1109, 290, 264, 476, 2918, 1109, 29894, 667, 264, 476, 1839, 1109, 29894, 30336, 1109, 292, 264, 476, 3953, 692, 304, 1556, 281, 476, 272, 267, 476, 277, 267, 476, 1428, 267, 7790, 267, 476, 3393, 267, 476, 5780, 267, 476, 11011, 1109, 14632, 1496, 306, 269, 590, 269, 595, 269, 630, 306, 1084, 334, 264, 476, 1001, 272, 6540, 288, 264, 476, 1839, 1109, 14632, 645, 264, 476, 2918, 1109, 14632, 595, 264, 476, 2767, 1109, 29894, 476, 1109, 291, 264, 476, 2764, 1109, 29894, 5231, 661, 264, 476, 1724, 692, 304, 1321, 281, 476, 276, 267, 476, 1556, 267, 476, 2537, 267, 476, 5325, 267, 476, 4817, 267, 26042, 288, 264, 476, 5002, 1109, 7545, 5231, 645, 264, 476, 4489, 1109, 7545, 30336, 1109, 290, 264, 476, 14065, 1109, 14632, 7545, 30336, 1109, 291, 264, 476, 15433, 1109, 29894, 661, 264, 476, 1960, 692, 304, 1724, 281, 476, 278, 267, 476, 1321, 267, 476, 866, 267, 476, 2764, 267, 476, 4375, 267, 26042, 288, 264, 476, 7367, 1109, 14632, 645, 264, 476, 2004, 1109, 14632, 595, 264, 476, 7906, 1109, 29894, 667, 264, 476, 4366, 1109, 29894, 30336, 1109, 292, 264, 476, 5780, 692, 304, 1691, 281, 476, 273, 267, 476, 277, 267, 476, 1321, 267, 7790, 267, 476, 1789, 1109, 14632, 7545, 476, 1109, 314, 306, 269, 590, 269, 595, 269, 630, 306, 1084, 334, 264, 476, 1001, 272, 6540, 288, 264, 476, 1240, 1109, 14632, 645, 264, 476, 2190, 1109, 14632, 595, 264, 476, 736, 1109, 14632, 7545, 30336, 1109, 291, 264, 476, 2918, 1109, 29894, 30336, 1109, 292, 264, 476, 4391, 692, 304, 1428, 281, 476, 2190, 267, 476, 277, 267, 476, 1240, 267, 476, 280, 267, 476, 3607, 267, 476, 280, 267, 476, 2190, 267, 7790, 1109, 30336, 1109, 314, 18197, 7813, 630, 290, 2401, 802, 11929, 264, 476, 1001, 272, 6540, 288, 264, 476, 2190, 1109, 7545, 30336, 1109, 289, 264, 476, 1321, 1109, 14632, 595, 264, 476, 279, 1109, 29894, 30336, 1109, 291, 264, 476, 277, 1109, 14632, 476, 1109, 292, 264, 476, 2918, 692, 304, 1626, 281, 476, 273, 267, 476, 272, 267, 476, 275, 267, 476, 274, 267, 476, 277, 267, 476, 276, 267, 476, 279, 267, 26042, 288, 264, 476, 280, 1109, 14632, 476, 1109, 289, 264, 476, 1015, 1109, 7545, 30336, 1109, 290, 264, 476, 278, 1109, 29894, 476, 1109, 291, 264, 476, 279, 1109, 14632, 7545, 661, 264, 476, 1321, 692, 304, 1704, 281, 476, 272, 267, 476, 275, 267, 476, 2767, 267, 476, 16348, 267, 26042, 288, 264, 476, 27698, 1109, 7545, 476, 1109, 289, 264, 476, 24374, 276, 1109, 30336, 1109, 290, 264, 476, 23714, 276, 1109, 7545, 5231, 667, 264, 476, 14338, 276, 1109, 7545, 30336, 1109, 292, 264, 476, 15836, 280, 692, 304, 1240, 281, 476, 26326, 267, 476, 26562, 267, 476, 21854, 267, 476, 6245, 267, 26042, 288, 264, 476, 14338, 1109, 14632, 645, 264, 476, 14631, 1109, 14632, 595, 264, 476, 14991, 1109, 14632, 30336, 1109, 291, 264, 476, 14681, 1109, 14632, 476, 1109, 292, 264, 476, 14689, 692, 304, 866, 281, 476, 279, 267, 476, 274, 267, 476, 1556, 267, 476, 1691, 267, 476, 1839, 267, 26042, 288, 264, 476, 2004, 1109, 14632, 476, 1109, 289, 264, 476, 4375, 1109, 14632, 5231, 595, 264, 476, 3066, 1109, 14632, 7545, 667, 264, 476, 1556, 1109, 14632, 7545, 661, 264, 476, 5655, 692, 304, 736, 281, 476, 274, 267, 476, 279, 267, 476, 2767, 267, 476, 12208, 267, 7790, 267, 476, 26552, 277, 692, 288, 264, 476, 276, 4792, 1109, 14632, 645, 264, 476, 3393, 273, 1109, 14632, 595, 264, 476, 28794, 1109, 14632, 5231, 667, 264, 476, 14631, 271, 1109, 14632, 476, 1109, 292, 264, 476, 13893, 280, 692, 304, 2641, 281, 476, 273, 267, 476, 280, 267, 476, 2764, 267, 476, 4792, 267, 7790, 1109, 14632, 7545, 30336, 1109, 314, 290, 269, 667, 269, 590, 269, 476, 1001, 273, 6540, 288, 264, 476, 13199, 1109, 14632, 5231, 645, 264, 476, 4198, 1109, 14632, 5231, 595, 264, 476, 14695, 1109, 14632, 30336, 1109, 291, 264, 476, 9818, 1109, 14632, 476, 1109, 292, 264, 476, 9032, 692, 304, 2420, 281, 476, 4029, 267, 476, 1724, 267, 476, 3393, 267, 476, 7918, 267, 7790, 267, 476, 8287, 692, 288, 264, 476, 3607, 1109, 14632, 30336, 1109, 289, 264, 476, 7918, 1109, 14632, 30336, 1109, 290, 264, 476, 8618, 1109, 14632, 7545, 5231, 667, 264, 476, 6812, 1109, 14632, 476, 1109, 292, 264, 476, 5392, 692, 304, 2537, 281, 476, 279, 267, 476, 2767, 267, 476, 5038, 267, 26042, 288, 264, 476, 21327, 1109, 14632, 5231, 645, 264, 476, 23470, 1109, 14632, 595, 264, 476, 5038, 1109, 14632, 7545, 667, 264, 476, 10219, 1109, 14632, 476, 1109, 292, 264, 476, 11277, 692, 304, 2190, 281, 476, 277, 267, 476, 280, 267, 476, 1321, 267, 476, 1428, 267, 476, 1428, 267, 476, 1240, 267, 7790, 1109, 29894, 1496, 306, 269, 590, 269, 595, 269, 630, 11372, 527, 27965, 264, 476, 1001, 274, 6540, 288, 264, 476, 2641, 1109, 14632, 7545, 645, 264, 476, 736, 1109, 14632, 30336, 1109, 290, 264, 476, 866, 1109, 14632, 7545, 476, 1109, 291, 264, 476, 2420, 1109, 14632, 30336, 1109, 292, 264, 476, 2190, 692, 304, 1839, 281, 476, 13040, 267, 476, 9032, 267, 476, 11025, 267, 476, 7830, 267, 26042, 288, 264, 476, 7367, 267, 1109, 14632, 5231, 645, 264, 476, 5655, 1109, 14632, 30336, 1109, 290, 264, 476, 5325, 1109, 14632, 7545, 5231, 667, 264, 476, 4391, 1109, 14632, 30336, 1109, 292, 264, 476, 2537, 692, 304, 2918, 281, 476, 1789, 267, 476, 6924, 267, 476, 9873, 267, 476, 19442, 267, 7790, 267, 476, 26392, 267, 476, 278, 4343, 1109, 14632, 476, 1109, 314, 306, 269, 590, 269, 595, 269, 630, 293, 595, 594, 264, 476, 1001, 273, 6540, 288, 264, 476, 22213, 1109, 14632, 645, 264, 476, 12573, 1109, 14632, 476, 1109, 290, 264, 476, 7742, 1109, 14632, 30336, 1109, 291, 264, 476, 18231, 1109, 14632, 476, 1109, 292, 264, 476, 12553, 692, 304, 2767, 281, 476, 273, 267, 476, 273, 267, 476, 3066, 267, 476, 4343, 267, 476, 5325, 267, 7790, 1109, 29894, 14632, 7545, 476, 1109, 314, 590, 269, 590, 269, 595, 269, 630, 290, 717, 700, 264, 476, 1001, 275, 6540, 288, 264, 476, 6795, 1109, 14632, 30336, 1109, 289, 264, 476, 6321, 1109, 14632, 5231, 595, 264, 476, 7367, 1109, 14632, 7545, 30336, 1109, 291, 264, 476, 6812, 1109, 14632, 30336, 1109, 292, 264, 476, 2568, 692, 304, 2764, 281, 476, 1704, 267, 476, 6246, 267, 476, 10037, 267, 476, 14530, 267, 26042, 288, 264, 476, 23841, 1109, 14632, 476, 1109, 289, 264, 476, 5379, 279, 1109, 7545, 30336, 1109, 290, 264, 476, 4968, 1109, 14632, 7545, 667, 264, 476, 4350, 1109, 14632, 5231, 661, 264, 476, 23056, 692, 304, 3066, 281, 476, 274, 269, 276, 267, 476, 278, 267, 476, 1015, 269, 276, 267, 476, 1691, 267, 7790, 1109, 7545, 476, 1109, 314, 306, 269, 590, 269, 595, 269, 630, 11372, 527, 27965, 11929, 264, 476, 1001, 274, 6540, 288, 264, 476, 1428, 269, 276, 1109, 14632, 476, 1109, 289, 264, 476, 1626, 269, 276, 1109, 14632, 30336, 1109, 290, 264, 476, 1240, 269, 276, 1109, 14632, 30336, 1109, 291, 264, 476, 1704, 269, 276, 1109, 7545, 476, 1109, 292, 264, 476, 1240, 269, 276, 692, 304, 1789, 281, 476, 274, 267, 476, 12553, 267, 476, 277, 267, 476, 5038, 267, 476, 280, 267, 7790, 267, 476, 1321, 267, 476, 1626, 267, 476, 1428, 267, 476, 279, 1109, 14632, 476, 1109, 314, 296, 645, 630, 288, 595, 594, 744, 3738, 476, 1001, 273, 6540, 288, 264, 476, 3953, 1109, 14632, 7545, 5231, 645, 264, 476, 1321, 1109, 14632, 30336, 1109, 290, 264, 476, 10482, 1109, 14632, 7545, 667, 264, 476, 7761, 1109, 14632, 476, 1109, 292, 264, 476, 5038, 692, 304, 4029, 281, 476, 279, 267, 476, 1626, 267, 476, 2764, 267, 476, 4510, 267, 7790, 1109, 30336, 1109, 314, 306, 269, 590, 269, 595, 269, 630, 11372, 527, 27965, 11929, 264, 476, 1001, 275, 6540, 288, 264, 476, 7830, 1109, 14632, 7545, 30336, 1109, 289, 264, 476, 5038, 1109, 14632, 5231, 595, 264, 476, 5780, 1109, 14632, 7545, 476, 1109, 291, 264, 476, 2568, 1109, 7545, 30336, 1109, 292, 264, 476, 6924, 692, 304, 3953, 281, 476, 273, 267, 476, 279, 267, 476, 1240, 267, 476, 3953, 267, 476, 2004, 267, 7790, 1109, 14632, 476, 1109, 314, 306, 269, 590, 269, 595, 269, 630, 1015, 1341, 476, 273, 981, 264, 476, 1001, 274, 6540, 288, 264, 476, 5038, 1109, 14632, 7545, 645, 264, 476, 7761, 1109, 14632, 7545, 5231, 595, 264, 476, 3583, 1109, 14632, 5231, 667, 264, 476, 6924, 1109, 14632, 30336, 1109, 292, 264, 476, 6434, 692, 304, 3451, 281, 476, 272, 267, 476, 274, 267, 476, 278, 267, 476, 1428, 267, 476, 4029, 267, 7790, 1109, 14632, 5231, 1496, 306, 269, 590, 269, 595, 269, 630, 1015, 1341, 476, 273, 981, 264, 476, 1001, 275, 6540, 288, 264, 476, 4391, 1109, 14632, 7545, 645, 264, 476, 3607, 1109, 14632, 7545, 476, 1109, 290, 264, 476, 10463, 1109, 14632, 30336, 1109, 291, 264, 476, 8287, 1109, 14632, 30336, 1109, 292, 264, 476, 6321, 692, 304, 4097, 281, 476, 271, 267, 476, 274, 267, 476, 279, 267, 476, 1428, 267, 476, 2190, 267, 7790, 267, 476, 4366, 1109, 14632, 7545, 1496, 306, 269, 590, 269, 595, 269, 630, 11372, 527, 27965, 11929, 264, 476, 1001, 275, 6540, 288, 264, 476, 6078, 1109, 14632, 30336, 1109, 289, 264, 476, 3066, 1109, 14632, 7545, 476, 1109, 290, 264, 476, 4391, 1109, 14632, 30336, 1109, 291, 264, 476, 3374, 1109, 14632, 7545, 476, 1109, 292, 264, 476, 4375, 692, 304, 3374, 281, 476, 275, 267, 476, 1556, 267, 476, 1789, 267, 476, 6858, 267, 476, 12553, 267, 7790, 1109, 14632, 30336, 1109, 314, 306, 269, 590, 269, 595, 269, 630, 1015, 1341, 476, 273, 264, 476, 1001, 274, 6540, 288, 264, 476, 25546, 1109, 14632, 645, 264, 476, 25248, 1109, 14632, 5231, 595, 264, 476, 23211, 1109, 14632, 5231, 667, 264, 476, 26801, 1109, 14632, 5231, 661, 264, 476, 18605, 692, 304, 3607, 281, 476, 276, 267, 476, 277, 267, 476, 280, 267, 476, 1691, 267, 476, 2641, 267, 7790, 1109, 29894, 1496, 306, 269, 590, 269, 595, 269, 630, 1015, 266, 273, 11400, 264, 476, 1001, 274, 6540, 288, 264, 476, 2764, 1109, 14632, 476, 1109, 289, 264, 476, 1789, 1109, 14632, 7545, 595, 264, 476, 4029, 1109, 14632, 7545, 476, 1109, 291, 264, 476, 3066, 1109, 14632, 30336, 1109, 292, 264, 476, 3953, 692, 304, 4391, 281, 476, 276, 267, 476, 1626, 267, 476, 7906, 267, 476, 15647, 267, 7790, 1109, 29894, 1496, 306, 269, 590, 269, 595, 269, 630, 290, 717, 700, 264, 476, 1001, 274, 6540, 288, 264, 476, 13970, 273, 1109, 7545, 30336, 1109, 289, 264, 476, 4366, 274, 1109, 14632, 30336, 1109, 290, 264, 476, 4366, 272, 1109, 14632, 5231, 667, 264, 476, 13970, 275, 1109, 14632, 5231, 661, 264, 476, 7176, 278, 692, 304, 4343, 281, 476, 1556, 267, 476, 3066, 267, 476, 4649, 267, 7790, 267, 476, 14530, 1109, 7545, 5231, 1496, 306, 269, 590, 269, 595, 269, 630, 290, 623, 744, 264, 476, 1001, 274, 6540, 288, 264, 476, 8099, 1109, 14632, 645, 264, 476, 10037, 1109, 14632, 7545, 30336, 1109, 290, 264, 476, 8660, 1109, 14632, 30336, 1109, 291, 264, 476, 4281, 1109, 14632, 7545, 5231, 661, 264, 476, 9834, 692, 304, 4375, 281, 476, 2735, 267, 476, 3707, 267, 476, 6977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1082, 1866, 269, 8828, 30359, 540, 519, 6288, 568, 1034, 2442, 585, 519, 10326, 16246, 700, 687, 267, 799, 568, 711, 1336, 538, 1022, 824, 1747, 513, 851, 689, 25157, 269, 1656, 789, 616, 1336, 538, 1772, 327, 26474, 563, 298, 29368, 3201, 292, 715, 9569, 3201, 24315, 298, 454, 298, 756, 1446, 2817, 5244, 568, 513, 3084, 6288, 538, 5375, 24063, 267, 7863, 5848, 28033, 4764, 4104, 269, 898, 568, 476, 278, 5780, 4009, 12919, 538, 2450, 543, 568, 4092, 1063, 476, 272, 267, 1911, 7397, 547, 476, 272, 267, 7785, 7397, 538, 15038, 269, 6736, 21214, 5097, 5848, 28033, 4104, 267, 621, 3568, 513, 3309, 5044, 540, 8916, 269, 634, 6288, 568, 513, 1753, 585, 513, 2462, 1297, 540, 32315, 2763, 525, 267, 543, 891, 616, 27424, 4948, 593, 513, 1942, 540, 513, 1152, 1269, 1220, 829, 9477, 11863, 267, 585, 30707, 269, 2290, 1223, 849, 9192, 918, 756, 1446, 11206, 2817, 5244, 609, 1022, 824, 10278, 899, 15596, 10906, 3084, 6288, 267, 543, 1866, 563, 298, 2839, 7968, 302, 966, 3201, 4041, 312, 715, 9569, 3201, 24315, 298, 454, 298, 728, 17763, 9503, 2817, 5244, 568, 513, 476, 272, 267, 4510, 273, 4009, 12919, 3084, 6288, 538, 519, 10127, 30790, 10937, 3148, 538, 22583, 24063, 269, 918, 728, 17763, 568, 27726, 5260, 20087, 267, 13856, 676, 519, 476, 273, 267, 16020, 7397, 6778, 5651, 2426, 1961, 543, 17464, 4167, 539, 676, 519, 918, 728, 17763, 543, 715, 22654, 8933, 269, 918, 728, 17763, 9503, 2817, 5244, 568, 24063, 779, 1034, 9678, 3084, 6288, 1498, 609, 1454, 547, 1294, 1519, 519, 4190, 2831, 899, 21495, 267, 18479, 17100, 267, 20873, 531, 3996, 267, 4258, 29609, 338, 267, 744, 560, 878, 1127, 543, 1082, 1866, 563, 306, 4932, 8085, 31082, 296, 715, 9569, 3201, 24315, 298, 454, 306, 655, 592, 5942, 2817, 5244, 30832, 3149, 2066, 519, 6989, 540, 519, 12054, 331, 5942, 9503, 593, 519, 6552, 267, 7262, 2427, 540, 519, 27431, 20044, 9461, 269, 634, 6288, 568, 13856, 676, 519, 9456, 2865, 10137, 540, 519, 1390, 898, 19441, 11206, 540, 519, 22096, 19438, 269, 901, 568, 835, 540, 4000, 779, 1034, 3504, 543, 6915, 1673, 5744, 7733, 282, 835, 540, 519, 1906, 547, 7639, 519, 2063, 4672, 2085, 267, 476, 1321, 268, 1240, 267, 1822, 1296, 3516, 563, 763, 12054, 331, 5942, 9503, 3568, 3875, 2934, 2404, 609, 3844, 2864, 982, 9456, 4000, 269, 2334, 3481, 554, 7491, 616, 26484, 676, 4639, 3979, 3282, 27374, 282, 519, 12054, 331, 5942, 5211, 630, 6518, 3029, 519, 3486, 10465, 264, 568, 513, 20538, 4528, 540, 519, 22096, 5211, 267, 519, 4104, 568, 1753, 547, 3875, 6239, 3979, 7320, 2249, 267, 543, 519, 2199, 2551, 2882, 513, 15506, 11445, 7510, 326, 3240, 2146, 602, 12090, 689, 519, 898, 19441, 269, 1306, 513, 1267, 267, 713, 6288, 2488, 513, 6492, 540, 6239, 4000, 1510, 2348, 547, 4734, 24063, 563, 4407, 12054, 592, 5942, 779, 2249, 723, 1044, 7213, 6819, 585, 936, 476, 1839, 267, 1822, 1296, 267, 519, 6288, 3568, 2963, 540, 1256, 4587, 3157, 269, 12182, 20950, 19389, 909, 689, 519, 17909, 547, 6542, 519, 3532, 1016, 614, 10328, 4229, 602, 723, 1044, 5935, 519, 678, 3424, 14860, 1282, 519, 2063, 476, 1691, 2929, 1296, 563, 300, 5495, 18199, 20700, 294, 2177, 715, 9569, 3201, 24315, 298, 454, 2414, 581, 4797, 256, 30957, 563, 8702, 547, 24063, 1760, 926, 602, 568, 2469, 547, 1491, 596, 998, 519, 24063, 779, 10700, 7320, 28011, 5649, 2859, 454, 8702, 547, 918, 728, 17763, 14860, 3084, 6288, 267, 4092, 538, 5087, 8109, 851, 540, 24063, 267, 901, 1760, 926, 786, 1491, 596, 547, 24063, 779, 1034, 9678, 3084, 6288, 267, 855, 513, 6936, 3979, 8187, 15227, 1862, 5649, 2859, 454, 8702, 547, 645, 13388, 328, 32020, 8759, 2817, 5244, 267, 585, 32020, 8759, 13206, 527, 6672, 6380, 926, 269, 901, 7552, 3947, 596, 606, 4316, 547, 1995, 543, 2263, 519, 10700, 27580, 8759, 1995, 538, 713, 1034, 10272, 929, 1493, 1760, 926, 1862, 5649, 2859, 0, 8310, 21213, 593, 5147, 476, 1321, 267, 476, 1708, 272, 676, 700, 13895, 454, 763, 1249, 602, 596, 616, 829, 6748, 713, 2985, 6920, 602, 596, 616, 1210, 1648, 269, 634, 1482, 949, 581, 3020, 585, 1169, 16797, 24440, 267, 782, 4757, 22121, 267, 543, 1169, 4605, 23345, 547, 519, 1357, 269, 1306, 938, 2729, 1831, 811, 5691, 267, 649, 786, 991, 811, 1648, 547, 1379, 873, 4881, 269, 1717, 267, 972, 1869, 568, 835, 6639, 7979, 1512, 602, 5170, 547, 1205, 9645, 3007, 281, 11670, 563, 30531, 8314, 267, 1256, 1498, 621, 1131, 581, 513, 5691, 9304, 602, 1058, 711, 2291, 538, 519, 4890, 1158, 267, 19306, 519, 9345, 543, 27499, 513, 2603, 540, 5201, 547, 2226, 4881, 269, 1306, 829, 519, 11670, 11192, 24542, 11752, 267, 799, 519, 2160, 5441, 5507, 568, 10647, 267, 713, 568, 519, 2013, 269, 1358, 7447, 602, 519, 5904, 602, 1379, 19682, 1131, 946, 811, 5201, 829, 1032, 982, 513, 2898, 4182, 540, 519, 13814, 267, 799, 814, 811, 982, 476, 1704, 2929, 1004, 563, 2026, 4354, 6275, 779, 3902, 814, 865, 1563, 538, 2487, 3275, 547, 811, 982, 1269, 2004, 267, 1822, 630, 11366, 6078, 267, 4968, 1070, 621, 4667, 547, 723, 713, 991, 585, 3167, 1648, 547, 3310, 519, 5904, 602, 7500, 621, 269, 11670, 28288, 8044, 602, 621, 568, 15528, 952, 11670, 568, 9591, 513, 4625, 1007, 12948, 5823, 4830, 540, 2229, 6304, 269, 14086, 4154, 6862, 29307, 7554, 267, 899, 3388, 3116, 267, 568, 1360, 7199, 547, 1711, 267, 1847, 267, 543, 8190, 5150, 269, 11531, 267, 519, 2413, 2883, 5823, 267, 609, 922, 5985, 9055, 543, 22071, 267, 27499, 513, 1713, 2179, 540, 1648, 563, 763, 6521, 2476, 689, 519, 29453, 968, 16513, 540, 4305, 892, 17565, 267, 9838, 547, 519, 12381, 1373, 8268, 585, 519, 11670, 19116, 267, 1131, 8197, 581, 835, 1505, 547, 6175, 1648, 6165, 543, 2910, 273, 5434, 269, 589, 14842, 540, 713, 2186, 267, 799, 1522, 1118, 19682, 779, 5117, 1447, 7347, 543, 552, 6549, 9107, 267, 568, 2352, 547, 19424, 269, 4340, 547, 5487, 603, 10609, 531, 2378, 267, 513, 2883, 22639, 693, 589, 297, 13852, 267, 23592, 779, 3375, 968, 16673, 1599, 607, 513, 12687, 5346, 9963, 547, 1870, 543, 2043, 602, 946, 11670, 855, 10093, 1406, 9619, 922, 3327, 1764, 3034, 3674, 11670, 589, 17904, 540, 5384, 281, 4112, 7134, 888, 288, 2797, 5086, 547, 519, 4661, 1472, 19682, 4492, 568, 267, 540, 1576, 267, 972, 269, 25126, 949, 1616, 547, 2721, 3007, 547, 267, 952, 711, 21467, 560, 1493, 267, 19682, 779, 1648, 6165, 585, 1585, 4128, 267, 1175, 607, 789, 949, 7287, 547, 1489, 19682, 585, 1585, 851, 16388, 4128, 25525, 3585, 269, 1306, 513, 1101, 1900, 538, 20547, 713, 15539, 267, 649, 666, 5641, 11735, 938, 3929, 6114, 543, 5659, 519, 5013, 1210, 2601, 539, 7440, 543, 513, 13006, 1505, 547, 1205, 998, 547, 519, 1483, 267, 513, 4480, 602, 568, 1134, 856, 540, 7678, 538, 938, 16253, 2486, 563, 2414, 581, 31717, 267, 1169, 4661, 3823, 19682, 779, 3327, 5434, 1590, 1331, 606, 30569, 602, 5036, 519, 3747, 538, 5133, 543, 524, 2572, 519, 20090, 779, 9962, 5383, 269, 5221, 621, 568, 711, 513, 30050, 3014, 267, 547, 2322, 621, 1776, 1259, 269, 3509, 2645, 543, 3157, 1860, 519, 2825, 3441, 267, 855, 950, 26693, 8957, 741, 2640, 1107, 971, 607, 1346, 547, 519, 9297, 267, 4747, 5108, 267, 610, 3662, 10304, 267, 585, 1383, 1107, 519, 3510, 1281, 711, 3100, 547, 581, 602, 2312, 2759, 563, 1432, 1772, 519, 20828, 540, 11670, 10671, 3931, 6052, 888, 29919, 2724, 971, 607, 11670, 568, 1031, 269, 2334, 568, 547, 2161, 267, 621, 568, 13234, 676, 513, 1804, 2146, 703, 3757, 564, 267, 538, 9759, 269, 589, 7856, 6538, 2029, 1634, 607, 9893, 568, 1031, 547, 1118, 513, 4063, 540, 3025, 543, 1832, 519, 1062, 5150, 269, 901, 8637, 782, 3527, 267, 543, 1142, 4759, 540, 519, 3919, 11392, 513, 5299, 540, 1142, 2962, 267, 609, 1142, 5299, 1373, 4448, 547, 519, 824, 12215, 540, 602, 4579, 269, 1284, 18783, 602, 7679, 1359, 609, 519, 5989, 568, 2352, 950, 3388, 568, 5532, 563, 2791, 1810, 1406, 723, 547, 581, 513, 2121, 4759, 282, 782, 596, 991, 568, 513, 3532, 30254, 2780, 267, 543, 519, 2362, 519, 2773, 267, 519, 4998, 269, 1677, 1832, 3388, 4881, 267, 891, 6620, 1590, 2626, 3810, 7294, 6310, 4247, 269, 634, 3742, 12227, 1590, 581, 6854, 4411, 547, 2061, 8781, 563, 30531, 8314, 2724, 267, 2705, 267, 568, 849, 711, 519, 1152, 3059, 9304, 2139, 269, 634, 1032, 1354, 267, 829, 519, 632, 966, 1845, 267, 19765, 13846, 15170, 2799, 11670, 779, 4492, 946, 676, 476, 2004, 2600, 269, 2368, 946, 5599, 2553, 13380, 547, 11670, 269, 11524, 946, 2409, 1141, 519, 1611, 7996, 1184, 568, 1759, 593, 2724, 3079, 540, 2780, 2200, 543, 811, 593, 2780, 2200, 563, 6097, 547, 519, 11001, 267, 713, 1689, 1223, 10703, 643, 2406, 581, 4294, 538, 11670, 267, 799, 1131, 9004, 1022, 8404, 547, 8415, 11285, 24776, 10591, 267, 799, 1131, 1267, 538, 1713, 4199, 543, 5122, 17885, 9806, 269, 6969, 649, 1439, 713, 2376, 267, 952, 596, 941, 3168, 585, 513, 3760, 602, 1223, 948, 596, 538, 3257, 5150, 9467, 538, 11670, 267, 1287, 596, 991, 547, 11578, 3054, 593, 519, 11670, 30825, 813, 267, 782, 596, 723, 547, 798, 568, 3643, 3896, 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 ]
[ 2537, 267, 6032, 269, 476, 10755, 279, 268, 11793, 271, 267, 476, 1001, 272, 269, 8222, 281, 1015, 269, 8099, 280, 13624, 8976, 269, 1001, 272, 269, 21497, 29575, 274, 454, 280, 269, 589, 269, 918, 1716, 267, 590, 269, 6754, 267, 667, 269, 654, 22844, 267, 589, 269, 26081, 267, 681, 269, 681, 7238, 338, 577, 267, 654, 269, 5576, 8705, 345, 267, 681, 269, 5760, 531, 345, 1731, 267, 476, 277, 294, 4226, 4882, 2407, 268, 706, 14658, 1617, 574, 1712, 6775, 3095, 609, 1395, 18070, 966, 5425, 5085, 6261, 2562, 1098, 576, 1853, 13365, 267, 28540, 269, 661, 4596, 290, 267, 476, 1001, 272, 269, 1677, 581, 4843, 269, 0, 30821, 8377, 19141, 513, 3395, 15435, 10838, 3425, 269, 898, 568, 1631, 6059, 909, 547, 513, 10116, 540, 7314, 543, 3368, 540, 938, 5243, 538, 772, 14389, 616, 1631, 1362, 539, 607, 17324, 269, 25667, 568, 5702, 5532, 609, 3987, 267, 865, 2899, 2597, 568, 8214, 1194, 3987, 666, 581, 6417, 1932, 267, 538, 1082, 2665, 563, 2005, 2731, 568, 938, 5539, 267, 607, 4620, 5411, 267, 547, 1852, 1018, 938, 7314, 543, 5243, 3548, 269, 30839, 1426, 609, 2370, 9422, 1871, 666, 4734, 707, 2915, 610, 3032, 4743, 17237, 543, 581, 21794, 585, 811, 267, 3056, 547, 936, 4189, 610, 9422, 10638, 563, 5278, 3536, 949, 2270, 14836, 607, 513, 29089, 894, 543, 513, 30993, 2573, 22083, 543, 2709, 1152, 8900, 8477, 269, 6164, 338, 543, 936, 1922, 29623, 616, 267, 782, 1932, 1419, 267, 519, 2462, 25476, 269, 1284, 917, 621, 666, 581, 15673, 532, 547, 2285, 883, 2462, 521, 641, 6853, 2915, 4445, 4064, 855, 936, 8023, 707, 2915, 1281, 711, 3160, 2648, 563, 27775, 2105, 20550, 667, 1231, 9360, 454, 310, 17673, 569, 21984, 8111, 25988, 338, 585, 7314, 454, 310, 17673, 569, 21984, 8111, 25988, 338, 585, 5243, 454, 1432, 519, 12594, 626, 3081, 454, 28317, 1434, 2298, 1426, 610, 513, 6151, 1426, 2732, 630, 289, 2752, 293, 264, 568, 513, 1390, 1259, 547, 1852, 8477, 269, 1879, 596, 3049, 513, 1732, 2732, 707, 4620, 3340, 1447, 1426, 1813, 547, 8770, 5860, 267, 4061, 4543, 547, 2226, 2597, 538, 513, 1259, 789, 666, 8311, 1227, 1184, 609, 8897, 269, 769, 14363, 3536, 543, 936, 16567, 616, 711, 2141, 519, 27521, 585, 2597, 2744, 855, 849, 8770, 10638, 543, 16991, 2068, 563, 29490, 1413, 693, 519, 2298, 540, 707, 4620, 779, 1426, 543, 1589, 827, 25937, 538, 9422, 2110, 17517, 676, 4946, 538, 1164, 2298, 2898, 25988, 338, 543, 9360, 3034, 1432, 519, 17022, 3081, 454, 2108, 11917, 7295, 538, 10130, 538, 593, 519, 4473, 269, 1230, 2425, 550, 3676, 616, 3987, 267, 17441, 4713, 543, 12263, 269, 25667, 568, 711, 5532, 609, 2295, 2068, 543, 18116, 538, 519, 1482, 1259, 607, 609, 19473, 29912, 538, 3425, 1317, 2915, 543, 3032, 10307, 568, 5594, 1114, 563, 11917, 7295, 568, 2057, 762, 538, 476, 4200, 260, 540, 2915, 543, 3032, 2665, 543, 568, 1813, 6140, 547, 811, 8477, 13881, 982, 6170, 538, 3635, 269, 17268, 1590, 581, 27361, 12366, 958, 2687, 547, 741, 9742, 543, 2085, 269, 1703, 616, 849, 7372, 24040, 2640, 689, 7899, 540, 3635, 563, 6944, 13764, 17811, 6981, 568, 2009, 609, 9268, 630, 8072, 23409, 685, 610, 2048, 291, 2884, 32426, 3536, 563, 9773, 12929, 1852, 568, 1454, 4443, 609, 513, 1753, 1500, 7059, 2732, 267, 1970, 538, 9274, 543, 1164, 538, 5388, 543, 7314, 1058, 711, 3548, 9274, 538, 1250, 6644, 563, 2252, 538, 8969, 607, 547, 707, 4620, 779, 1697, 2597, 267, 3717, 547, 707, 17022, 3034, 1892, 11162, 22012, 1216, 1058, 581, 2139, 693, 782, 2053, 563, 1892, 9546, 802, 543, 3742, 3756, 1058, 581, 12366, 1242, 585, 5243, 269, 2311, 2547, 1079, 1434, 15211, 513, 1554, 269, 9741, 543, 1419, 568, 4998, 563, 1892, 1403, 596, 3032, 568, 8348, 1711, 513, 1404, 5503, 609, 9162, 610, 2119, 5214, 3032, 30876, 563, 1892, 1684, 711, 2285, 22938, 1426, 13000, 269, 3619, 585, 8902, 3681, 971, 607, 31577, 16853, 543, 22282, 26106, 802, 585, 5243, 269, 0, 2252, 596, 2811, 1603, 606, 13181, 1557, 267, 596, 991, 547, 1118, 2386, 602, 596, 2811, 1210, 519, 1318, 2553, 282, 6382, 267, 707, 4062, 1223, 2842, 909, 1510, 1022, 6219, 630, 528, 267, 8338, 2943, 267, 538, 519, 5377, 540, 519, 834, 15132, 983, 3758, 23528, 32451, 1419, 267, 865, 10777, 834, 514, 845, 894, 257, 3594, 616, 2965, 2095, 2044, 267, 11705, 1819, 5346, 13144, 269, 9282, 789, 949, 13712, 835, 610, 1079, 5013, 267, 789, 4734, 519, 5467, 1510, 1022, 811, 1702, 540, 519, 1888, 1858, 982, 950, 646, 610, 1352, 3459, 2542, 519, 4062, 563, 2252, 596, 5963, 1616, 547, 1217, 707, 5304, 267, 596, 991, 547, 1246, 930, 2241, 4808, 602, 786, 2327, 602, 707, 1913, 616, 12300, 267, 13181, 267, 543, 13801, 269, 12989, 616, 5722, 5363, 23456, 547, 1205, 596, 3323, 593, 606, 1557, 602, 568, 1249, 2861, 267, 533, 603, 344, 267, 543, 3532, 563, 272, 269, 1548, 781, 634, 8672, 286, 6524, 596, 2479, 2253, 707, 13181, 1557, 267, 1711, 513, 5098, 3948, 282, 538, 811, 2596, 2474, 267, 713, 1797, 596, 1590, 723, 513, 834, 4812, 2668, 1635, 1106, 6819, 513, 8367, 543, 1210, 602, 607, 519, 4493, 540, 707, 13181, 1557, 267, 707, 960, 4465, 1405, 803, 6387, 899, 513, 2879, 1136, 6908, 269, 5502, 267, 621, 3513, 3251, 593, 1448, 689, 4098, 547, 1439, 563, 273, 269, 667, 3558, 634, 10046, 2044, 1160, 572, 23044, 2044, 1893, 666, 581, 2500, 538, 519, 1318, 8468, 282, 2705, 267, 22350, 30996, 1639, 5220, 798, 711, 4866, 538, 707, 13181, 1557, 269, 5901, 707, 2357, 6798, 720, 2241, 543, 3551, 267, 610, 707, 5467, 786, 2628, 1932, 1454, 3007, 547, 707, 936, 2224, 540, 21371, 543, 740, 18690, 563, 274, 269, 10925, 2659, 18461, 902, 31035, 2791, 4440, 723, 606, 6644, 827, 1018, 596, 2811, 1603, 267, 855, 8259, 707, 1557, 568, 5921, 547, 581, 1224, 607, 513, 2123, 25102, 5344, 6241, 267, 4734, 707, 4606, 693, 519, 7450, 269, 5502, 540, 21107, 1944, 267, 2995, 519, 5013, 899, 513, 1434, 19784, 282, 952, 596, 798, 267, 707, 3988, 786, 581, 2111, 547, 2721, 741, 1378, 8753, 3079, 540, 2348, 16523, 9087, 13554, 2390, 873, 563, 275, 269, 5192, 2659, 12700, 18135, 697, 2304, 13181, 1557, 2115, 547, 723, 5885, 1239, 547, 2285, 621, 9355, 543, 6392, 269, 1717, 267, 602, 3085, 1405, 1611, 596, 666, 7048, 593, 1022, 7194, 596, 1265, 2228, 269, 10251, 267, 519, 2622, 22453, 5680, 568, 4904, 609, 834, 30440, 257, 602, 616, 2965, 1152, 3368, 2389, 337, 3578, 338, 630, 528, 1256, 30739, 6013, 4700, 5269, 2386, 519, 3283, 596, 3442, 585, 707, 960, 616, 689, 6325, 2959, 267, 971, 607, 1134, 8153, 3549, 610, 2229, 8041, 563, 276, 269, 3619, 547, 634, 17796, 2252, 596, 991, 547, 5967, 2043, 547, 1039, 1379, 610, 26117, 547, 707, 13181, 1557, 267, 1118, 2386, 596, 3442, 707, 954, 341, 773, 933, 525, 5402, 269, 3680, 519, 31112, 547, 1450, 1175, 4896, 547, 946, 707, 1557, 607, 513, 5023, 12328, 269, 7225, 5534, 569, 4584, 945, 596, 1616, 547, 10839, 267, 1287, 1118, 2386, 602, 707, 10530, 616, 4977, 563, 277, 269, 15765, 20429, 815, 16200, 4828, 303, 6974, 707, 1344, 538, 513, 2178, 3159, 267, 1210, 3742, 1913, 543, 3532, 21371, 602, 834, 16647, 257, 1055, 519, 2985, 267, 711, 3274, 546, 1026, 1076, 1524, 5196, 519, 5467, 781, 22272, 269, 1280, 3236, 267, 5372, 1913, 899, 834, 16591, 257, 610, 834, 21112, 257, 609, 1454, 811, 22192, 13413, 269, 5457, 267, 1498, 910, 707, 3804, 3884, 1405, 547, 581, 19621, 282, 621, 781, 547, 1039, 1697, 8561, 547, 707, 5098, 543, 5885, 1344, 563, 278, 269, 3503, 6168, 1548, 9314, 338, 1411, 2252, 596, 1810, 1405, 899, 519, 1888, 540, 707, 13181, 1557, 267, 1100, 835, 3116, 786, 267, 2901, 269, 2986, 1576, 267, 649, 3112, 2141, 3442, 1018, 547, 2328, 827, 630, 684, 1652, 649, 2811, 1360, 18822, 4589, 267, 8197, 14386, 4475, 267, 596, 28297, 621, 547, 3054, 543, 707, 3988, 547, 1265, 606, 3693, 540, 707, 1557, 602, 8395, 1132, 596, 269, 4634, 952, 596, 723, 547, 5478, 15131, 585, 707, 960, 267, 602, 781, 15502, 282, 1175, 2760, 1450, 707, 5304, 547, 5873, 707, 771, 15517, 610, 789, 3513, 15983, 1246, 9290, 563, 3528, 1210, 930, 610, 782, 540, 519, 1657, 5722, 2093, 267, 596, 666, 2327, 602, 707, 1985, 13181, 4062, 540, 1603, 568, 2178, 267, 4277, 267, 543, 13151, 3307, 269, 0, 16829, 676, 18498, 593, 13723, 267, 4989, 476, 1691, 267, 476, 1001, 271, 693, 476, 280, 281, 1839, 10975, 563, 4692, 596, 1265, 476, 274, 23199, 543, 476, 1015, 782, 3438, 725, 538, 713, 6648, 888, 272, 2529, 515, 2501, 1394, 3781, 267, 538, 12194, 727, 8184, 2676, 273, 269, 769, 23157, 3109, 607, 12334, 2676, 274, 7868, 15596, 540, 798, 558, 2390, 1200, 2156, 558, 2676, 275, 7868, 3552, 543, 29063, 18338, 2676, 276, 6993, 524, 871, 1782, 1835, 821, 609, 28221, 7633, 454, 277, 269, 4517, 964, 27364, 730, 17873, 2676, 278, 269, 10521, 9409, 4064, 609, 530, 11301, 543, 588, 625, 454, 279, 269, 4517, 11435, 827, 519, 678, 15501, 2676, 280, 6993, 3880, 1782, 9224, 267, 4557, 27390, 19462, 454, 1015, 269, 4517, 26642, 540, 695, 337, 633, 1194, 2960, 2676, 1556, 5861, 571, 22486, 543, 669, 5792, 543, 11523, 1194, 17534, 454, 1321, 269, 6546, 7406, 513, 5694, 1652, 1989, 514, 563, 1724, 2529, 515, 10413, 956, 676, 267, 1352, 4418, 10134, 519, 6607, 454, 1691, 269, 4517, 9292, 3149, 513, 22815, 1424, 1085, 872, 577, 563, 1428, 269, 2026, 1352, 2220, 334, 3591, 2250, 267, 513, 11963, 568, 5641, 454, 1626, 269, 4002, 782, 1200, 1225, 4513, 3914, 454, 1704, 6745, 820, 1416, 547, 12404, 950, 519, 3552, 18338, 26055, 454, 1240, 269, 2414, 695, 686, 2131, 1200, 9409, 11963, 563, 866, 23130, 1352, 949, 798, 609, 513, 2262, 610, 1079, 454, 736, 269, 3674, 1454, 1932, 1989, 574, 547, 2995, 454, 2421, 10793, 2776, 331, 7491, 5652, 454, 299, 836, 639, 613, 8551, 910, 15516, 269, 590, 826, 267, 13723, 267, 4989, 476, 1691, 267, 476, 1001, 271, 693, 476, 280, 281, 2764, 10975, 454, 763, 811, 1271, 2243, 568, 4534, 2052, 596, 1265, 891, 23199, 543, 782, 3438, 725, 888, 299, 836, 639, 613, 8551, 910, 795, 523, 267, 13628, 267, 4989, 476, 1428, 267, 476, 1001, 271, 693, 476, 1321, 281, 1704, 600, 454, 2704, 328, 268, 782, 28375, 568, 18110, 519, 1482, 3280, 936, 543, 936, 630, 27746, 1500, 1082, 17228, 563, 288, 14165, 568, 513, 6476, 1063, 1919, 799, 3085, 1405, 946, 899, 610, 607, 630, 604, 621, 1705, 267, 621, 1131, 581, 513, 1138, 850, 1916, 2521, 547, 1265, 873, 543, 649, 786, 2638, 707, 4267, 269, 2433, 994, 299, 836, 639, 613, 8551, 910, 27342, 267, 13723, 267, 5239, 476, 2918, 267, 476, 1001, 272, 693, 476, 279, 281, 6734, 10975, 454, 6343, 616, 519, 23199, 538, 1934, 454, 299, 836, 639, 613, 8551, 910, 23436, 267, 13638, 267, 5239, 476, 2767, 267, 476, 1001, 276, 693, 476, 274, 281, 5392, 10975, 454, 293, 9529, 540, 695, 337, 633, 1194, 2960, 454, 299, 836, 639, 613, 8551, 910, 4460, 267, 11016, 267, 5130, 476, 277, 267, 476, 1001, 278, 693, 476, 278, 281, 1691, 10975, 454, 12585, 901, 7726, 454, 5415, 13565, 5999, 454, 268, 2979, 910, 11427, 269, 1546, 14982, 4718, 1614, 26734, 2244, 538, 513, 2361, 1141, 789, 1336, 513, 18061, 540, 4429, 268, 4317, 5525, 910, 654, 3558, 2197, 4547, 1666, 4252, 547, 519, 3844, 7819, 2477, 2483, 268, 3332, 910, 634, 29063, 18338, 543, 519, 2462, 3983, 18896, 616, 1806, 540, 454, 268, 3332, 910, 519, 29063, 18338, 543, 519, 2462, 2212, 18896, 616, 1806, 540, 454, 268, 2296, 910, 1215, 1705, 14880, 16019, 946, 519, 18338, 8062, 547, 2099, 519, 5062, 10111, 20321, 4429, 268, 634, 17794, 32586, 18338, 267, 543, 519, 20758, 337, 2041, 269, 538, 669, 269, 476, 1321, 268, 1691, 910, 1548, 1281, 519, 18338, 5965, 4429, 268, 7005, 910, 6496, 713, 4845, 1118, 2631, 286, 281, 589, 3810, 13181, 1433, 267, 16205, 4429, 268, 4317, 338, 910, 713, 568, 1018, 621, 3081, 538, 1250, 1433, 281, 1284, 946, 519, 2165, 834, 342, 3558, 3620, 2863, 257, 1631, 547, 4429, 268, 3778, 281, 30561, 654, 3558 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 748, 4731, 4146, 630, 16787, 300, 1070, 610, 513, 8297, 696, 3293, 16050, 3774, 616, 930, 540, 519, 3123, 540, 8297, 696, 3293, 16209, 563, 1432, 4523, 20178, 20723, 8482, 888, 16352, 513, 20178, 20723, 8482, 4386, 950, 513, 1973, 16050, 538, 519, 2634, 9397, 267, 4611, 538, 11702, 538, 519, 2634, 269, 1306, 519, 1973, 24864, 593, 2634, 2281, 267, 621, 3123, 873, 547, 7985, 3441, 269, 901, 814, 519, 1761, 547, 2014, 14715, 2042, 269, 12920, 16964, 20723, 8482, 666, 8915, 3294, 538, 513, 3099, 540, 2081, 563, 1432, 568, 20178, 20723, 7503, 540, 8482, 888, 295, 13579, 9071, 20723, 7004, 630, 12487, 264, 568, 513, 2783, 602, 4386, 1419, 538, 1004, 945, 723, 11124, 606, 8650, 29769, 545, 8482, 269, 898, 4523, 950, 15672, 1973, 3063, 11663, 919, 883, 519, 2634, 607, 513, 1267, 540, 606, 29769, 545, 8482, 1317, 519, 1973, 2634, 11064, 630, 17668, 289, 264, 814, 1044, 8697, 269, 16473, 532, 10226, 568, 2629, 2094, 621, 814, 1044, 3254, 547, 22009, 519, 6364, 540, 18116, 543, 2333, 9019, 563, 1432, 616, 519, 476, 275, 2010, 540, 18116, 888, 1432, 3657, 519, 7756, 9877, 338, 540, 853, 15809, 888, 268, 1703, 616, 1896, 2010, 540, 8482, 281, 29769, 545, 8482, 267, 20178, 20723, 8482, 267, 23644, 29769, 545, 4323, 630, 300, 7236, 3613, 6593, 1070, 2634, 6565, 8482, 267, 543, 6939, 8328, 8482, 630, 560, 6593, 609, 1100, 1634, 5169, 1070, 1851, 1866, 563, 1432, 616, 519, 476, 276, 9963, 4191, 540, 513, 8482, 888, 1805, 6593, 2782, 940, 20050, 543, 12580, 454, 268, 715, 3518, 1145, 610, 8467, 538, 519, 3068, 267, 6186, 267, 610, 1850, 630, 31860, 593, 835, 2427, 540, 519, 1560, 264, 602, 4386, 10393, 454, 268, 4762, 4288, 610, 7411, 6340, 610, 1620, 4633, 782, 540, 513, 6727, 269, 17496, 2152, 538, 835, 610, 1312, 4064, 666, 2049, 10393, 269, 570, 3637, 7411, 6972, 610, 21994, 267, 607, 1134, 607, 2530, 540, 3666, 610, 7965, 609, 11558, 454, 7617, 540, 519, 1739, 568, 519, 2014, 540, 1034, 18116, 888, 1103, 2550, 609, 3987, 267, 1164, 1973, 2604, 568, 519, 1034, 1455, 2014, 540, 8482, 267, 543, 621, 568, 519, 3119, 3815, 7700, 547, 519, 2799, 1981, 540, 8482, 269, 0, 268, 476, 272, 7316, 1281, 14914, 2887, 538, 476, 1708, 272, 888, 268, 476, 273, 1548, 568, 519, 4686, 560, 4266, 585, 14914, 888, 268, 476, 274, 1772, 14914, 2038, 713, 1032, 476, 1708, 272, 888, 268, 476, 275, 1548, 10732, 568, 14914, 538, 476, 1708, 272, 888, 268, 476, 276, 1215, 1281, 14914, 1205, 4956, 888, 268, 476, 277, 1548, 568, 519, 5767, 4266, 14914, 814, 2479, 1044, 888, 268, 476, 278, 1548, 568, 519, 1034, 1455, 14914, 4266, 888, 268, 476, 279, 4208, 568, 14914, 2038, 713, 1032, 476, 1708, 272, 888, 268, 476, 280, 4208, 1281, 14914, 1689, 855, 8285, 3085, 512, 888, 268, 476, 1015, 1548, 568, 32488, 577, 531, 7599, 888, 8489, 1281, 14914, 2887, 538, 476, 1708, 272, 888, 4131, 779, 2736, 621, 1524, 281, 769, 476, 1708, 272, 267, 519, 5614, 1226, 514, 2135, 4523, 593, 14349, 267, 4728, 476, 736, 269, 634, 1101, 2407, 9855, 547, 2049, 1310, 602, 4266, 14380, 593, 10732, 267, 4728, 476, 2764, 269, 4475, 267, 14914, 786, 581, 4767, 593, 519, 7766, 10732, 267, 799, 568, 10732, 267, 4989, 476, 275, 563, 1432, 568, 519, 4686, 560, 4266, 585, 14914, 888, 6546, 729, 538, 476, 3707, 271, 1107, 519, 4686, 560, 14914, 4266, 540, 873, 782, 538, 602, 10116, 2173, 650, 3317, 1756, 269, 14914, 8813, 593, 3057, 269, 476, 2537, 1152, 7466, 630, 514, 476, 4489, 274, 543, 476, 1220, 279, 264, 543, 1175, 7466, 593, 4989, 476, 2190, 630, 514, 476, 1001, 272, 543, 476, 20385, 276, 1040, 2353, 519, 1964, 616, 811, 1455, 982, 713, 1032, 779, 14914, 4266, 563, 3674, 14914, 2038, 713, 1032, 476, 1708, 272, 888, 2691, 568, 14914, 538, 476, 1708, 272, 286, 1306, 649, 782, 917, 267, 14914, 779, 4266, 666, 11385, 622, 7168, 4922, 1142, 1032, 269, 2755, 519, 9702, 8593, 538, 519, 1647, 540, 519, 3923, 2063, 1032, 267, 713, 1032, 267, 621, 3580, 581, 5594, 2038, 269, 14914, 10732, 568, 593, 4989, 476, 275, 538, 476, 1708, 272, 2443, 327, 2100, 2685, 2614, 942, 602, 519, 4365, 786, 723, 3323, 8337, 909, 2336, 1432, 10732, 568, 14914, 538, 476, 1708, 272, 888, 1103, 476, 1708, 272, 267, 14914, 10732, 8813, 593, 593, 10732, 476, 275, 4989, 267, 1175, 936, 513, 3018, 4505, 982, 2063, 1032, 779, 4266, 540, 476, 1321, 4989, 563, 1692, 1281, 14914, 1205, 4956, 888, 292, 2120, 8813, 593, 519, 1101, 10732, 1310, 519, 9509, 9855, 4266, 267, 1759, 593, 6310, 9273, 267, 602, 8813, 593, 610, 1310, 4728, 476, 2641, 269, 1403, 519, 9509, 9855, 568, 593, 513, 10732, 267, 14914, 568, 9976, 593, 519, 1739, 10732, 563, 1432, 568, 519, 5767, 4266, 14914, 814, 2479, 1044, 888, 3528, 3235, 27036, 20292, 3652, 1305, 5553, 3516, 267, 972, 616, 476, 3374, 7389, 593, 799, 14914, 666, 1491, 1747, 269, 634, 9998, 2009, 4266, 585, 14914, 568, 4728, 476, 2420, 543, 519, 5767, 2009, 4266, 568, 4989, 476, 1839, 563, 1432, 568, 519, 1034, 1455, 14914, 4266, 888, 292, 2120, 4005, 5956, 593, 14914, 10732, 543, 16569, 5722, 4374, 269, 769, 476, 4335, 1296, 630, 5228, 476, 8182, 271, 547, 476, 20385, 280, 5084, 264, 14914, 729, 543, 786, 581, 1034, 1419, 9976, 593, 2901, 4728, 476, 4029, 610, 593, 4989, 476, 1626, 630, 2420, 2053, 1142, 1040, 901, 1032, 267, 519, 4266, 8813, 593, 4989, 476, 275, 563, 3963, 568, 14914, 2038, 713, 1032, 476, 1708, 272, 888, 292, 2120, 476, 1708, 272, 1656, 1946, 568, 621, 593, 4989, 476, 275, 267, 476, 1708, 272, 267, 713, 1032, 267, 799, 568, 4505, 982, 2063, 1032, 543, 519, 1032, 1354, 286, 14914, 779, 3169, 4266, 9775, 865, 1454, 1317, 621, 2965, 5673, 593, 519, 7599, 269, 634, 9702, 568, 1305, 547, 14626, 728, 609, 519, 1101, 10732, 1310, 519, 17131, 577, 531, 9509, 9855, 267, 519, 1101, 2407, 7599, 1310, 519, 2357, 2522, 1226, 514, 2135, 563, 3963, 1281, 14914, 1689, 855, 8285, 3085, 512, 888, 17556, 1597, 1621, 2401, 267, 513, 7548, 538, 3909, 2090, 693, 6778, 9576, 2160, 267, 3081, 519, 2596, 2601, 519, 1079, 8428, 568, 1317, 8285, 568, 6378, 547, 513, 3859, 11706, 267, 2282, 519, 5162, 1151, 560, 823, 267, 543, 14914, 568, 1759, 593, 519, 16264, 9979, 540, 519, 6014, 11706, 269, 968, 3383, 10271, 2141, 1185, 14914, 1318, 1310, 30687, 2223, 646, 1767, 563, 1432, 568, 32488, 577, 531, 7599, 888, 763, 17131, 577, 531, 2407, 7599, 568, 519, 1101, 2407, 7599, 540, 5614, 269, 634, 1101, 2407, 7599, 540, 5614, 568, 849, 11280, 607, 519, 17131, 577, 531, 9509, 9855, 610, 519, 17131, 577, 531, 12910, 2443, 476, 1691, 610, 476, 1428, 715, 16388, 593, 519, 6014, 25038, 267, 799, 568, 849, 7436, 623, 525, 778, 267, 610, 30687, 269, 14914, 568, 4767, 593, 519, 10732, 1310, 519, 17131, 577, 531, 9509, 9855, 269, 0, 306, 1069, 976, 593, 13834, 454, 763, 20665, 1762, 4807, 538, 938, 1650, 814, 1200, 10516, 540, 7487, 519, 2104, 3144, 689, 1200, 1510, 1200, 9844, 269, 6145, 865, 1082, 1004, 2021, 538, 519, 6426, 1352, 568, 796, 24887, 267, 3623, 10642, 267, 543, 23987, 269, 769, 519, 28005, 517, 2221, 267, 12815, 528, 8751, 4337, 1149, 875, 519, 1650, 1522, 723, 11200, 539, 689, 1200, 5133, 543, 538, 1200, 5639, 563, 10214, 952, 596, 666, 1406, 2943, 10950, 1866, 609, 782, 540, 707, 1373, 267, 2696, 666, 946, 602, 269, 2334, 568, 1018, 10878, 23449, 16137, 1310, 695, 7342, 25288, 1282, 1200, 3460, 1753, 547, 21861, 548, 1335, 269, 2696, 568, 17444, 721, 782, 4724, 3152, 10014, 543, 2146, 563, 20075, 523, 966, 1662, 16210, 729, 12703, 2614, 547, 581, 16618, 269, 1677, 1246, 4906, 543, 1689, 519, 1158, 267, 649, 723, 547, 581, 12703, 2614, 547, 581, 16618, 267, 607, 1134, 563, 3849, 600, 779, 1101, 1913, 547, 18832, 616, 827, 875, 1454, 789, 723, 538, 1455, 269, 634, 1650, 540, 8103, 267, 2705, 267, 4166, 7140, 547, 513, 1445, 593, 938, 3604, 269, 1284, 991, 547, 3314, 14088, 779, 1445, 593, 938, 3838, 8103, 543, 513, 3838, 17082, 269, 901, 568, 519, 1101, 10732, 540, 938, 14400, 12267, 590, 1069, 517, 10022, 563, 763, 1650, 540, 519, 24347, 548, 17722, 5870, 519, 15337, 1014, 661, 684, 1276, 593, 519, 4155, 568, 513, 1650, 540, 1079, 1004, 8840, 1524, 519, 7496, 2486, 814, 3710, 1063, 873, 269, 2696, 568, 10912, 721, 547, 798, 519, 1482, 1169, 1554, 269, 0, 1103, 519, 3659, 3126, 669, 526, 2401, 1767, 281, 594, 1611, 267, 527, 781, 899, 519, 1796, 318, 1575, 635, 539, 1014, 596, 723, 547, 1694, 998, 1354, 25968, 4469, 20477, 2501, 856, 269, 1548, 568, 519, 2495, 540, 834, 3699, 856, 834, 514, 519, 4845, 888, 22261, 476, 276, 267, 476, 1708, 271, 476, 272, 281, 2641, 6751, 454, 9172, 9955, 5788, 476, 273, 454, 2414, 2097, 856, 593, 3942, 269, 9524, 619, 616, 2356, 3297, 519, 3942, 610, 3297, 1225, 13935, 269, 1358, 2097, 856, 883, 519, 1930, 610, 5196, 519, 3942, 547, 581, 2938, 563, 21776, 476, 276, 267, 476, 1708, 271, 454, 26170, 10093, 1406, 1336, 707, 4267, 888, 2237, 1524, 707, 2055, 543, 1577, 519, 5065, 10529, 948, 596, 2336, 12626, 267, 14655, 630, 293, 1513, 328, 994, 9209, 2873, 1411, 2904, 4746, 6145, 454, 1626, 5871, 2296, 5675, 27190, 1389, 4634, 634, 7454, 2296, 22996, 5269, 454, 3607, 15055, 5788, 476, 273, 22227, 454, 277, 13705, 710, 570, 3696, 2334, 4024, 30205, 2659, 18776, 769, 7102, 5678, 454, 4510, 15055, 5788, 476, 273, 22227, 454, 23873, 2107, 1977, 2296, 888, 1240, 15055, 5788, 476, 272, 22227, 454, 12606, 519, 621, 1779, 328, 2561, 454, 11328, 716, 609, 5065, 10529, 1472, 519, 1158, 269, 0, 7093, 3685, 540, 1744, 24943, 281, 634, 2098, 739, 822, 1314, 28404, 454, 7804, 269, 4793, 601, 568, 513, 4791, 13930, 7548, 538, 519, 4972, 540, 14997, 2329, 6657, 267, 14822, 3557, 2160, 270, 14822, 2657, 1299, 3163, 2160, 267, 5441, 540, 14997, 2329, 267, 24144, 13464, 563, 763, 1482, 3644, 602, 3123, 9269, 21479, 8619, 4926, 15601, 1990, 8803, 267, 21720, 569, 1634, 607, 30133, 13034, 518, 6647, 1990, 8803, 568, 3361, 676, 519, 2746, 10474, 1993, 519, 15254, 545, 7578, 22271, 8803, 3644, 630, 309, 313, 309, 264, 5228, 26125, 1310, 3968, 609, 9269, 21479, 269, 5475, 606, 12558, 540, 9269, 21479, 267, 519, 341, 6400, 3587, 26862, 538, 519, 1560, 543, 4754, 31272, 792, 1082, 1296, 2663, 547, 2014, 320, 2013, 540, 30133, 563, 763, 5993, 11841, 540, 15601, 1990, 8803, 337, 5190, 689, 5111, 476, 272, 269, 276, 547, 476, 275, 269, 271, 322, 1162, 829, 476, 1911, 271, 7606, 269, 272, 267, 273, 634, 2014, 540, 1492, 966, 313, 309, 2746, 10474, 568, 15458, 269, 274, 267, 275, 1717, 267, 27463, 2084, 2085, 267, 12012, 1591, 12046, 267, 543, 9404, 684, 665, 20234, 668, 2213, 1533, 630, 7945, 607, 609, 295, 4353, 3968, 264, 616, 1981, 2188, 585, 519, 1646, 1993, 15601, 1990, 8803, 269, 272, 267, 274, 267, 275, 15463, 6647, 1990, 8803, 568, 606, 8650, 267, 22297, 26529, 602, 3123, 513, 11213, 267, 1025, 3563, 532, 337, 1662, 269, 589, 30133, 16420, 2356, 5526, 593, 272, 2427, 540, 519, 3068, 610, 1560, 543, 16569, 585, 476, 273, 1729, 476, 275, 4374, 269, 273, 12580, 1331, 1928, 610, 705, 9506, 14815, 538, 1808, 2694, 540, 519, 7853, 267, 14331, 267, 13347, 7181, 267, 543, 577, 1571, 269, 634, 6093, 16420, 5526, 538, 476, 273, 547, 476, 274, 17058, 267, 1310, 519, 3644, 814, 6603, 519, 2960, 20193, 5161, 540, 2699, 15649, 540, 2960, 28338, 263, 1407, 2873, 264, 602, 1413, 1360, 2147, 547, 2038, 577, 1157, 523, 21479, 269, 276, 634, 16420, 22264, 547, 743, 31255, 540, 2312, 5738, 2873, 267, 799, 2585, 16587, 1106, 585, 476, 274, 547, 476, 276, 2395, 543, 11457, 10843, 5933, 540, 533, 755, 1637, 267, 22377, 566, 25467, 12933, 532, 269, 274, 634, 2267, 7370, 2887, 1055, 538, 476, 273, 547, 476, 274, 933, 4060, 267, 6028, 3297, 11909, 7067, 2960, 563, 306, 3107, 956, 666, 581, 21380, 998, 29715, 3346, 538, 606, 1367, 945, 814, 2254, 1185, 9269, 21479, 269, 1744, 24943, 568, 513 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 2111, 547, 1118, 513, 1259, 998, 610, 883, 1945, 5405, 505, 263, 1993, 513, 5639, 610, 3280, 264, 5693, 4862, 998, 610, 1657, 824, 4992, 454, 268, 476, 272, 269, 2111, 547, 1118, 513, 1259, 998, 610, 883, 1945, 519, 1966, 540, 11579, 7992, 14927, 519, 11579, 7992, 1085, 757, 540, 12566, 543, 552, 32023, 476, 12571, 490, 419, 378, 358, 420, 358, 508, 476, 9463, 491, 419, 378, 358, 420, 358, 508, 454, 268, 19065, 359, 630, 1993, 513, 5639, 610, 3280, 264, 5693, 4862, 998, 610, 1657, 824, 4992, 513, 2582, 11579, 7992, 27646, 476, 12571, 490, 419, 378, 358, 420, 358, 508, 476, 9463, 491, 419, 378, 358, 420, 358, 508, 454, 268, 19065, 359, 630, 1993, 513, 1268, 781, 4064, 610, 4082, 264, 10452, 606, 7805, 2702, 547, 1294, 883, 519, 2247, 540, 519, 1268, 1373, 6743, 693, 282, 22815, 1424, 569, 7920, 12394, 547, 2057, 1200, 11579, 7992, 22401, 476, 12571, 490, 419, 378, 358, 420, 358, 508, 454, 268, 19065, 359, 2348, 610, 6029, 2312, 5813, 519, 1053, 4280, 930, 11579, 7992, 2055, 476, 12571, 490, 419, 378, 358, 420, 358, 508, 476, 9463, 491, 419, 378, 358, 420, 358, 508, 454, 268, 8011, 538, 16550, 513, 1259, 883, 610, 998, 630, 320, 3364, 2567, 519, 695, 1905, 6773, 1185, 11579, 3603, 1010, 2212, 543, 9221, 25310, 602, 23309, 2620, 883, 519, 3618, 781, 4295, 454, 23682, 5112, 1977, 9218, 454, 268, 979, 883, 610, 998, 630, 31138, 1070, 2523, 609, 3196, 610, 4674, 281, 519, 695, 1905, 6773, 1185, 11579, 3603, 1010, 2212, 25310, 602, 23309, 2620, 883, 519, 3618, 781, 4295, 454, 268, 2111, 547, 1118, 513, 1259, 998, 610, 883, 1945, 281, 519, 1966, 540, 11579, 7992, 14927, 454, 1862, 9767, 978, 2875, 945, 267, 2219, 22064, 609, 513, 11579, 7992, 4987, 267, 568, 20427, 20916, 547, 1862, 31801, 362, 264, 14035, 358, 10524, 377, 12486, 2891, 326, 3424, 257, 476, 15159, 14035, 358, 10524, 377, 8147, 20881, 503, 420, 352, 350, 417, 489, 499, 420, 358, 508, 25060, 500, 264, 320, 11579, 7992, 4987, 476, 10429, 371, 20069, 418, 368, 508, 21382, 509, 20693, 505, 7511, 418, 503, 374, 418, 483, 356, 12486, 2891, 5155, 564, 3433, 257, 2483, 303, 523, 564, 6233, 19113, 300, 547, 3715, 606, 1344, 4871, 267, 676, 2500, 2359, 13055, 9703, 9756, 2483, 9989, 4896, 917, 1018, 2186, 540, 4759, 2033, 666, 1577, 27488, 324, 547, 23309, 855, 711, 1216, 11517, 543, 2961, 14752, 667, 8610, 728, 547, 23309, 286, 476, 20069, 417, 497, 359, 13601, 12916, 491, 419, 509, 354, 421, 479, 497, 1862, 0, 4407, 16848, 568, 1753, 547, 1082, 13131, 2249, 267, 596, 4440, 4465, 1405, 1265, 519, 1079, 20715, 2249, 29954, 19274, 704, 630, 12858, 704, 320, 29954, 529, 264, 543, 1039, 518, 630, 12858, 704, 320, 10874, 639, 264, 538, 519, 18230, 6239, 17934, 879, 269, 1358, 4782, 519, 13566, 7823, 19527, 540, 519, 808, 3120, 15142, 543, 519, 32595, 269, 2755, 741, 2551, 568, 16756, 532, 543, 538, 930, 3148, 1256, 568, 593, 519, 1490, 1074, 540, 14486, 267, 1312, 2249, 949, 581, 3833, 1455, 538, 930, 4025, 563, 11997, 267, 606, 7237, 609, 513, 20715, 13131, 538, 922, 9053, 14099, 568, 711, 8966, 269, 23883, 1346, 945, 960, 610, 2951, 13964, 1058, 7747, 519, 2630, 5018, 3652, 912, 6826, 6297, 267, 1100, 2339, 1018, 13131, 2249, 596, 616, 25884, 269, 3245, 513, 3845, 267, 621, 568, 3592, 7543, 547, 2995, 20715, 689, 1875, 1790, 334, 2581, 748, 15315, 269, 1306, 789, 723, 1114, 24698, 543, 1273, 614, 902, 267, 20715, 543, 1875, 1790, 334, 2581, 748, 2249, 949, 1413, 7567, 689, 2417, 2476, 563, 305, 2737, 540, 1969, 1190, 607, 15416, 454, 268, 1684, 711, 3802, 11953, 20584, 538, 15458, 14099, 282, 5957, 5078, 10887, 543, 1279, 27890, 630, 18244, 267, 1932, 267, 1058, 5957, 1100, 2110, 338, 994, 268, 1684, 711, 1577, 1453, 1404, 538, 15458, 6753, 543, 2491, 547, 873, 602, 15315, 666, 581, 5906, 950, 1004, 1205, 1932, 2673, 610, 21898, 873, 563, 268, 1684, 711, 5905, 621, 543, 798, 711, 21898, 621, 282, 1118, 2386, 602, 519, 13131, 711, 1182, 596, 543, 3976, 814, 942, 547, 18956, 269, 1403, 621, 13978, 1141, 621, 568, 267, 3802, 2250, 621, 1247, 5329, 513, 3845, 540, 4114, 269, 476, 273, 15432, 563, 268, 6969, 1210, 513, 1964, 1858, 267, 3406, 621, 585, 15315, 1101, 563, 268, 1684, 711, 3914, 609, 707, 3946, 883, 26965, 610, 896, 29115, 282, 10874, 787, 543, 25487, 4584, 619, 1058, 7148, 621, 609, 16853, 1101, 267, 538, 1931, 547, 1118, 15315, 18956, 602, 949, 12404, 972, 563, 268, 2142, 6297, 950, 11093, 707, 3946, 593, 15458, 2127, 971, 607, 3574, 588, 2931, 267, 3819, 6821, 540, 25985, 540, 10007, 563, 268, 1879, 17666, 10007, 610, 11308, 12545, 267, 1832, 538, 2247, 602, 13131, 949, 12404, 896, 873, 563, 268, 1684, 711, 3207, 593, 519, 2666, 538, 2127, 20651, 676, 15315, 282, 2141, 946, 513, 17895, 610, 513, 28422, 563, 268, 1879, 10655, 3574, 538, 519, 3781, 267, 2141, 946, 513, 8755, 2775, 563, 268, 5620, 596, 2938, 513, 13131, 1472, 707, 2777, 286, 3973, 596, 1058, 4894, 782, 2009, 15720, 4025, 543, 1118, 519, 1858, 2312, 609, 2110, 24408, 6371, 267, 1100, 896, 29115, 267, 1100, 25985, 540, 10007, 610, 3762, 267, 16559, 12545, 267, 6656, 4496, 10824, 610, 552, 1181, 527, 8440, 269, 1403, 2009, 267, 3442, 513, 695, 8014, 1747, 585, 707, 3574, 588, 2931, 267, 607, 15315, 4782, 3636, 543, 13566, 15720, 4025, 269, 0, 22129, 9235, 602, 1945, 602, 267, 693, 835, 1448, 267, 729, 2899, 2808, 547, 581, 513, 3364, 540, 2257, 5708, 269, 2755, 1152, 513, 3908, 1297, 540, 1004, 711, 10805, 607, 5520, 609, 606, 3486, 2230, 8116, 723, 2479, 2095, 333, 883, 2230, 538, 782, 540, 1686, 267, 602, 779, 1305, 547, 1689, 538, 519, 2282, 2104, 607, 5010, 2230, 3549, 1020, 1007, 23431, 5867, 538, 606, 4674, 547, 2759, 3790, 563, 2026, 930, 1522, 11291, 267, 606, 1977, 1870, 2006, 676, 519, 2012, 540, 667, 12447, 570, 17010, 2968, 519, 1360, 1101, 2230, 15805, 547, 3643, 519, 4139, 6611, 13749, 538, 4989, 540, 476, 1220, 272, 269, 634, 835, 2987, 8584, 2000, 604, 8135, 3643, 16768, 585, 5216, 15654, 2395, 267, 855, 621, 849, 1942, 1864, 811, 982, 1269, 736, 2929, 856, 540, 17927, 269, 10251, 267, 1034, 1004, 1810, 1406, 723, 602, 2186, 540, 2724, 1175, 9361, 1472, 585, 18399, 563, 2026, 5010, 3549, 899, 9791, 18882, 543, 6611, 311, 19856, 909, 2504, 540, 543, 1449, 15805, 7888, 2230, 6472, 267, 621, 779, 6059, 602, 16295, 585, 2230, 9235, 1223, 6749, 547, 3592, 1269, 1220, 267, 1822, 538, 519, 1360, 2282, 2104, 269, 2755, 602, 779, 1869, 513, 8101, 2179, 540, 2724, 602, 1152, 519, 14547, 1223, 6488, 267, 621, 779, 849, 4502, 15663, 602, 621, 779, 1175, 476, 272, 260, 540, 1018, 570, 17010, 6976, 3592, 1079, 5756, 3516, 563, 2026, 942, 6410, 4464, 543, 6472, 1831, 811, 543, 811, 23431, 267, 602, 1942, 1223, 3136, 547, 979, 1524, 607, 519, 1152, 1483, 3790, 1831, 1312, 12284, 543, 15177, 4492, 269, 10251, 267, 971, 11564, 1131, 1152, 2063, 585, 6071, 8090, 607, 10353, 547, 570, 17010, 779, 5216, 6377, 3251, 269, 589, 1483, 536, 28026, 585, 1346, 945, 1131, 1616, 547, 1995, 9018, 2230, 607, 20691, 798, 4867, 563, 2005, 1223, 581, 930, 942, 1354, 1175, 4896, 4991, 606, 4316, 547, 3643, 9018, 2230, 267, 855, 609, 1699, 7835, 25093, 267, 835, 666, 1152, 4126, 602, 1919, 1522, 1689, 538, 519, 2104, 269, 0, 2171, 991, 6009, 585, 938, 19920, 282, 865, 649, 991, 6080, 282, 585, 6080, 649, 991, 5989, 282, 585, 5989, 649, 991, 2244, 799, 568, 17077, 267, 25395, 23642, 599, 752, 13096, 3279, 454, 1103, 519, 1647, 540, 519, 476, 1240, 628, 2540, 1107, 519, 8106, 24192, 3366, 676, 14088, 8055, 543, 6424, 26548, 16037, 585, 519, 1101, 942, 17019, 519, 6305, 1614, 2188, 540, 2504, 281, 8092, 267, 23267, 267, 543, 13317, 563, 1103, 3127, 938, 2244, 1650, 6238, 538, 476, 6245, 275, 676, 519, 1287, 3703, 1876, 1572, 634, 8092, 21733, 9974, 2920, 476, 6245, 275, 269, 634, 2244, 11601, 1287, 5921, 519, 11601, 540, 2244, 585, 930, 968, 21504, 3483, 892, 676, 513, 2229, 8116, 689, 1367, 2244, 14935, 267, 607, 17101, 676, 519, 1876, 267, 1310, 9878, 513, 2229, 1922, 12089, 13180, 547, 3382, 9271, 30309, 676, 2244, 14935, 689, 21704, 532, 741, 2244, 547, 519, 7255, 2229, 8116, 563, 763, 11601, 4061, 729, 3908, 547, 1857, 3483, 6165, 2495, 2679, 3872, 5238, 610, 14565, 971, 607, 8027, 267, 1072, 610, 1793, 636, 24999, 607, 1134, 607, 585, 3785, 7255, 609, 6917, 4058, 610, 5250, 540, 4609, 563, 763, 13180, 2628, 762, 1287, 547, 519, 2244, 14935, 1031, 547, 581, 519, 2344, 1871, 593, 519, 4266, 540, 519, 11601, 269, 901, 13180, 23304, 12023, 912, 331, 634, 4110, 540, 23473, 799, 814, 3366, 547, 519, 11601, 563, 331, 7102, 771, 514, 743, 1588, 540, 519, 1268, 5461, 547, 851, 609, 519, 2244, 563, 331, 7102, 2333, 538, 519, 2244, 1871, 2693, 547, 934, 4902, 689, 519, 946, 547, 799, 621, 786, 581, 2322, 950, 9715, 563, 4913, 267, 713, 1876, 729, 538, 642, 4084, 585, 1472, 476, 6344, 1296, 4352, 621, 729, 24080, 17019, 607, 513, 13737, 569, 15490, 1876, 1107, 15490, 547, 519, 2244, 8227, 543, 593, 519, 824, 1688, 3500, 855, 1951, 935, 1014, 2094, 519, 7934, 532, 9475, 538, 10747, 1857, 5301, 3366, 547, 771, 20880, 543, 19727, 1107, 588, 16226, 519, 1184, 540, 2679, 5989, 585, 24322, 563, 10521, 1296, 3516, 519, 6554, 4547, 538, 513, 1007, 1876, 1634, 607, 634, 9406, 547, 12876, 3281, 18730, 543, 3690, 10337, 538, 8092, 21733, 9974, 267, 29407, 543, 1763, 564, 25557, 2920, 267, 476, 1001, 274, 2442, 569, 5219, 547, 607, 519, 968, 27455, 21733, 9974, 4521, 7536, 1607, 1876, 5693, 9788, 1524, 519, 5301, 540, 519, 11601, 538, 799, 2013, 15428, 13180, 1131, 581, 2628, 762, 642, 714, 912, 5416, 264, 1280, 922, 1378, 946, 543, 1852, 2676, 6357, 264, 1677, 4483, 621, 585, 519, 946, 540, 4357, 3549, 585, 1857, 3483, 267, 543, 454, 6262, 264, 2201, 519, 7662, 540, 4357, 3549, 585, 7525, 946, 585, 1857, 3483, 454, 3719, 621, 16934, 930, 476, 1724, 9642, 16572, 538, 799, 2013, 519, 9104, 725, 1131, 711, 581, 5462, 676, 713, 1007, 957, 269, 2368, 540, 891, 941, 634, 26994, 6052, 2920, 267, 476, 3422, 273, 267, 634, 2817, 4400, 1811, 2920, 267, 476, 4198, 277, 267, 10323, 313, 2920, 267, 476, 1220, 276, 267, 8092, 21733, 9974, 630, 300, 1149, 264, 2920, 267, 476, 6642, 276, 267, 634, 12565, 1811, 2920, 267, 476, 2735, 280, 267, 543, 1866, 269, 634, 7954, 1869, 3788, 513, 9814, 540, 1576, 2336, 763, 1739, 1876, 786, 581, 2808, 607, 11601, 585, 968, 14276, 8830, 5099, 892, 912, 5416, 264, 21864, 20237, 5301, 543, 3084, 3354, 2676, 6357, 264, 10003, 338, 267, 7841, 1811, 267, 28565, 267, 543, 16788, 267, 3710, 676, 2229, 543, 1857, 5823, 16904, 454, 6262, 264, 5741, 4299, 1004, 2676, 5560, 264, 1773, 10165, 1646, 610, 6454, 540, 14252, 267, 543, 454, 16216, 264, 1763, 7808, 5301, 585, 519, 4057, 543, 2244, 1652, 563, 14276, 3483, 849, 2882, 824, 2229, 3785, 799, 4324, 519, 1857, 607, 1134, 607, 11865, 540, 1857, 5370, 543, 2533, 676, 4357, 3549, 610, 1857, 4357, 12352, 630, 13048, 11679, 994, 8256, 550, 281, 2353, 4203, 29792, 585, 891, 5301, 1131, 2154, 9844, 540, 476, 3199, 260, 540, 519, 2244, 5411, 563, 15253, 18730, 281, 14451, 13180, 693, 519, 2557, 540, 2185, 2053, 2344, 1871, 540, 6917, 543, 7466, 585, 4683, 2244, 729, 3177, 269, 634, 4033, 12830, 3038, 2888, 616, 912, 308, 696, 334, 1152, 476, 276, 260, 540, 11125, 730, 3818, 2275, 549, 5529, 2244, 949, 581, 9715, 538, 513, 8664, 267, 609, 1978, 2175, 563, 12892, 8177, 10495, 630, 306, 8656, 264, 814, 547, 581, 2944, 676, 606, 4830, 1560, 18043, 14317, 543, 19268, 25557, 630, 305, 261, 305, 264, 10189, 585, 1646, 540, 811, 982, 476, 2004, 14143, 630, 18076, 264, 543, 476, 1911, 14143, 538, 6917, 2127, 454, 14303, 4592, 8826, 6388, 268, 1007, 1876, 547, 581, 10858, 538, 782, 533, 2056, 2665, 540, 2244, 11601, 896, 2025, 1876, 454, 27455, 30694, 585, 476, 276, 1296, 547, 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 ]
[ 4905, 281, 6021, 6751, 454, 338, 651, 2678, 454, 32621, 1384, 23192, 17397, 676, 674, 5661, 318, 520, 318, 13043, 454, 17098, 631, 295, 293, 269, 3733, 2243, 568, 269, 780, 28097, 519, 1297, 543, 1826, 540, 4642, 525, 270, 23085, 585, 1142, 1599, 2630, 676, 6236, 519, 5806, 5364, 269, 1496, 2710, 711, 4194, 2639, 259, 335, 3287, 6661, 273, 343, 317, 273, 266, 275, 343, 266, 273, 14204, 259, 336, 3287, 6661, 274, 343, 317, 273, 268, 277, 343, 266, 273, 6911, 296, 1810, 1405, 2731, 1174, 1018, 594, 6415, 3843, 547, 2626, 1934, 269, 898, 1131, 3100, 594, 723, 547, 5173, 519, 5806, 5364, 1101, 269, 1215, 1131, 594, 979, 827, 3257, 602, 286, 1656, 875, 1281, 602, 948, 803, 547, 2626, 519, 2243, 2496, 12552, 780, 1721, 1269, 325, 3287, 264, 815, 4949, 317, 273, 17070, 343, 25239, 259, 2073, 519, 5806, 5364, 568, 519, 1871, 1269, 321, 317, 273, 268, 275, 659, 16859, 604, 1269, 321, 317, 273, 268, 275, 659, 3436, 476, 271, 259, 3267, 519, 1599, 814, 1079, 1483, 267, 3982, 5072, 692, 604, 1269, 321, 317, 273, 268, 275, 659, 815, 476, 271, 259, 3267, 519, 1599, 814, 835, 1483, 3597, 540, 3818, 13109, 1079, 692, 604, 1269, 321, 317, 273, 268, 275, 659, 2999, 476, 271, 259, 3267, 519, 1599, 814, 1079, 16494, 5072, 454, 1892, 4119, 476, 1626, 628, 476, 1220, 280, 267, 476, 4905, 281, 6021, 6751, 454, 309, 517, 301, 655, 334, 866, 454, 32621, 1384, 23192, 17397, 676, 674, 5661, 318, 520, 318, 13043, 454, 300, 7825, 267, 594, 4440, 1058, 267, 855, 594, 6415, 711, 2386, 602, 594, 798, 269, 23985, 899, 1269, 321, 317, 273, 268, 275, 659, 259, 286, 630, 1320, 9722, 2020, 8133, 269, 2334, 568, 1018, 519, 2063, 18560, 5921, 676, 667, 563, 1892, 4119, 476, 1626, 628, 476, 1220, 280, 267, 476, 4905, 281, 1724, 6751, 454, 303, 574, 454, 302, 10798, 780, 763, 3435, 547, 28963, 609, 519, 1535, 14289, 540, 513, 1599, 538, 519, 1106, 1384, 14204, 344, 815, 4949, 317, 273, 1341, 536, 343, 1341, 524, 454, 6911, 732, 692, 259, 343, 815, 1422, 2765, 24877, 321, 10559, 6912, 346, 291, 12453, 273, 320, 10592, 663, 692, 14204, 343, 815, 1422, 2765, 24877, 321, 10954, 6912, 346, 291, 12453, 273, 320, 8679, 6911, 4415, 1269, 291, 815, 536, 317, 273, 910, 476, 275, 659, 6911, 3086, 267, 1317, 540, 519, 3597, 538, 713, 4542, 267, 667, 666, 2995, 596, 827, 875, 1082, 3435, 972, 616, 547, 519, 3830, 269, 1403, 667, 568, 2318, 267, 972, 786, 581, 1079, 1114, 4267, 269, 1403, 667, 568, 4642, 267, 621, 786, 6556, 835, 2626, 269, 630, 2026, 1341, 543, 910, 476, 271, 616, 519, 1482, 3364, 264, 1403, 667, 568, 4130, 982, 4642, 267, 519, 3597, 1281, 711, 2291, 543, 972, 616, 1100, 28963, 609, 519, 1535, 14289, 563, 1892, 4119, 476, 1626, 628, 476, 1220, 280, 267, 476, 4905, 281, 736, 6751, 454, 293, 5661, 318, 520, 318, 13043, 454, 25105, 267, 21453, 256, 18786, 547, 11291, 713, 689, 519, 11000, 269, 594, 1589, 594, 666, 4137, 621, 856, 1631, 267, 9684, 596, 563, 1892, 4119, 476, 1626, 628, 476, 1220, 280, 267, 476, 4905, 281, 2918, 6751, 454, 309, 517, 301, 655, 334, 866, 454, 20756, 623, 574, 267, 594, 6415, 27613, 7914, 538, 1934, 2483, 32621, 1384, 23192, 17397, 676, 623, 574, 454, 3086, 267, 1317, 540, 519, 3597, 538, 713, 4542, 267, 667, 666, 2995, 596, 827, 875, 1082, 3435, 972, 616, 547, 519, 3830, 269, 1403, 667, 568, 2318, 267, 972, 786, 581, 1079, 1114, 4267, 780, 10303, 4399, 10975, 25490, 346, 291, 4151, 786, 9493, 843, 1079, 4267, 269, 589, 2318, 835, 267, 543, 513, 2942, 835, 563, 32621, 1384, 23192, 17397, 676, 623, 574, 454, 2252, 667, 568, 4642, 267, 621, 786, 6556, 835, 2626, 780, 10303, 4642, 568, 9444, 2318, 6862, 2942, 269, 1656, 2094, 4399, 10975, 271, 259, 568, 2495, 1652, 267, 596, 3513, 1152, 1205, 835, 2626, 563, 32621, 1384, 23192, 17397, 676, 623, 574, 454, 2252, 667, 568, 4130, 982, 4642, 267, 519, 3597, 1281, 711, 2291, 543, 972, 616, 1100, 28963, 609, 519, 1535, 14289, 780, 10303, 596, 666, 1405, 1491, 519, 4009, 3597, 540, 513, 2942, 1297, 780, 3383, 267, 1589, 827, 621, 2483, 1892, 4119, 476, 1626, 628, 476, 1220, 280, 267, 476, 4905, 281, 6078, 6751, 454, 293, 5661, 318, 520, 318, 13043, 454, 3383, 267, 585, 1269, 335, 3287, 7751, 594, 3893, 1269, 323, 284, 271, 8961, 2495, 519, 1599, 22613, 519, 1535, 7852, 2899, 543, 814, 835, 1483, 3597, 780, 259, 336, 3287, 7751, 594, 3893, 1269, 323, 15871, 2568, 8961, 865, 519, 1599, 1281, 711, 3444, 519, 1535, 7852, 267, 621, 814, 1079, 16494, 5072, 630, 528, 1079, 1950, 4642, 525, 607, 594, 3494, 646, 6499, 621, 12943, 6393, 3674, 602, 782, 519, 2243, 568, 6998, 2496, 31171, 281, 1924, 952, 594, 4941, 547, 2965, 1265, 519, 3070, 547, 533, 3287, 264, 594, 1223, 11690, 621, 883, 519, 13392, 3830, 799, 1131, 2121, 803, 910, 272, 585, 1312, 1341, 543, 910, 269, 1809, 621, 4667, 621, 3085, 1405, 2307, 585, 602, 2626, 269, 22043, 2496, 31171, 281, 17214, 513, 12161, 593, 7117, 3287, 1070, 519, 5806, 5364, 568, 3152, 982, 476, 271, 563, 1892, 4119, 476, 1626, 628, 476, 1220, 280, 267, 476, 6349, 281, 2764, 6751, 454, 309, 517, 301, 655, 334, 866, 454, 32621, 1384, 23192, 17397, 676, 674, 5661, 318, 520, 318, 13043, 454, 3383, 267, 585, 1269, 335, 3287, 7751, 594, 3893, 1269, 323, 284, 271, 8961, 2495, 519, 1599, 22613, 519, 1535, 7852, 2899, 543, 814, 835, 1483, 3597, 780, 14738, 593, 2439, 32621, 1384, 23192, 17397, 676, 674, 5661, 318, 520, 318, 13043, 454, 259, 336, 3287, 7751, 594, 3893, 1269, 323, 15871, 2568, 6911, 296, 9364, 2638, 602, 1586, 1862, 1269, 8987, 277, 8203, 273, 268, 275, 263, 274, 7565, 273, 6661, 286, 6911, 32621, 1384, 23192, 17397, 676, 674, 5661, 318, 520, 318, 13043, 454, 3674, 602, 782, 519, 2243, 568, 6998, 2496, 8133, 8197, 2439, 32621, 1384, 23192, 17397, 676, 674, 5661, 318, 520, 318, 13043, 454, 31171, 281, 1924, 952, 594, 4941, 547, 2965, 1265, 519, 3070, 547, 533, 3287, 264, 594, 1223, 11690, 621, 883, 519, 13392, 3830, 799, 1131, 2121, 803, 910, 272, 585, 1312, 1341, 543, 910, 269, 1809, 621, 4667, 621, 3085, 1405, 2307, 585, 602, 2626, 269, 22043, 2496, 14187, 8631, 2439, 32621, 1384, 23192, 17397, 676, 674, 5661, 318, 520, 318, 13043, 454, 31171, 281, 17214, 513, 12161, 593, 7117, 3287, 1070, 519, 5806, 5364, 568, 3152, 982, 476, 271, 780, 302, 330, 267, 865, 596, 1705, 2638, 621, 1586, 269, 9412, 593, 267, 962, 334, 256, 0, 8138, 2466, 513, 2243, 547, 938, 2146, 543, 1205, 606, 2626, 689, 1483, 1004, 780, 272, 269, 1703, 616, 476, 1428, 2835, 593, 513, 15808, 269, 476, 277, 540, 891, 2835, 616, 1007, 15301, 320, 264, 1548, 568, 519, 5223, 540, 782, 2835, 547, 1031, 2835, 692, 272, 269, 1703, 616, 476, 1428, 2835, 593, 513, 15808, 269, 476, 277, 540, 891, 2835, 616, 1007, 563, 5416, 264, 1548, 568, 519, 5223, 540, 782, 2835, 547, 1031, 2835, 888, 6357, 264, 1548, 568, 519, 5223, 540, 1031, 2835, 547, 1007, 2835, 2496, 273, 269, 630, 320, 264, 589, 2681, 17002, 16493, 476, 1240, 3817, 538, 277, 3764, 269, 1215, 1082, 3764, 1281, 621, 1491, 829, 2985, 2496, 6357, 264, 898, 3217, 476, 7761, 6550, 540, 6079, 547, 4625, 2030, 513, 476, 1321, 454, 14092, 516, 2361, 269, 1215, 1082, 6550, 540, 6079, 616, 2877, 829, 23505, 2496, 274, 11859, 936, 476, 279, 815, 476, 1724, 936, 476, 278, 454, 343, 284, 692, 275, 11065, 650, 1500, 4572, 585, 476, 1321, 3108, 540, 960, 563, 4263, 519, 1482, 2557, 267, 875, 1082, 3108, 1131, 646, 723, 547, 960, 547, 1118, 476, 25248, 26042, 276, 269, 570, 20632, 22755, 1220, 5195, 1210, 476, 280, 17529, 540, 3154, 269, 2311, 713, 2557, 267, 875, 1082, 17529, 540, 3154, 1131, 1352, 991, 547, 5397, 476, 13136, 5195, 2496, 27751, 607, 692, 272, 269, 589, 268, 476, 280, 281, 1428, 454, 289, 268, 476, 277, 281, 1428, 454, 2414, 4137, 513, 856, 267, 10208, 476, 277, 689, 476, 1428, 543, 536, 789, 2285, 596, 519, 2626, 538, 519, 2243, 454, 296, 666, 2285, 596, 519, 1964, 1310, 2899, 594, 4194, 873, 267, 20994, 585, 2921, 865, 1279, 692, 27751, 607, 692, 280, 281, 277, 585, 589, 269, 0, 31580, 20861, 338, 2336, 5851, 14572, 28065, 12307, 676, 7388, 1154, 519, 12384, 8641, 532, 8298, 15162, 6193, 12793, 10406, 16296, 540, 5890, 7859, 17006, 543, 16265, 24219, 21929, 25285, 2060, 6145, 9324, 7631, 2209, 21929, 1944, 519, 9324, 7631, 1807, 5564, 28745, 7981, 27155, 338, 12793, 14572, 12430, 7010, 540, 12307, 676, 26332, 1588, 14572, 7010, 540, 17817, 676, 15240, 3191, 543, 26332, 1588, 27155, 12307, 14572, 12430, 7010, 540, 12307, 676, 8641, 532, 28065, 12793, 14572, 1160, 1636, 687, 23155, 543, 3131, 12993, 20514, 22217, 4328, 12384, 24306, 22217, 4328, 17773, 17006, 543, 16265, 24219, 17773, 17006, 543, 16265, 24219, 17773, 14572, 12430, 12307, 21153, 8017, 538, 835, 24438, 20876, 27155, 12307, 689, 741, 28977, 11660, 3502, 566, 5517, 1681, 513, 5681, 610, 16338, 540, 5565, 10699, 525, 14572, 6348, 15035, 12307, 676, 15240, 3191, 14572, 7010, 540, 12430, 21153, 8017, 1488, 603, 27027, 609, 31353, 15531, 519, 17817, 540, 606, 769, 2091, 9577, 18140, 1154, 18745, 538, 519, 3213, 15453, 1773, 2033, 634, 8605, 540, 519, 24306, 540, 513, 28065, 25024, 14572, 28065, 12307, 676, 7388, 1154, 519, 12384, 454, 2521, 519, 5131, 4569, 3752, 591, 610, 2480, 2651, 1524, 547, 20861, 338, 2439, 3493, 323, 754, 550, 24438, 692, 7089, 540, 4834, 547, 4194, 281, 476, 23056, 6321, 278, 8660, 454, 4982, 269, 1948, 272, 912, 4982, 269, 1948, 273, 1384, 4982, 269, 1948, 274, 1384, 4982, 269, 1948, 275, 1384, 4982, 269, 1948, 276, 1384, 4982, 269, 1948, 277, 1384, 4982, 269, 1948, 278, 1384, 4982, 269, 1948, 279, 1384, 4982, 269, 1948, 280, 1384, 16534, 585, 1384, 667, 8817, 24438, 692, 7089, 540, 16526, 547, 4194, 281, 476, 23056, 6321, 278, 8660, 454, 769, 18091, 269, 1948, 272, 912, 769, 18091, 269, 1948, 273, 1384, 769, 18091, 269, 1948, 274, 1384, 769, 18091, 269, 1948, 275, 1384, 769, 18091, 269, 1948, 276, 1384, 769, 18091, 269, 1948, 277, 1384, 769, 18091, 269, 1948, 278, 1384, 769, 18091, 269, 1948, 279, 1384, 769, 18091, 269, 1948, 280, 1384, 16534, 585, 1384, 7490, 946, 713, 1106, 952, 596, 1131, 899, 547, 723, 713, 2979, 24626, 593, 707, 3896, 267, 1863, 540, 5279, 269, 8745, 281, 19478, 281, 2659, 19534, 281, 15516, 326, 1384, 16665, 3584, 912, 26020, 3830, 3756, 1923, 834, 1440, 4532, 2118, 540, 6310, 2079, 2580, 3070, 1923, 28809, 513, 548, 5040, 1923, 23240, 2979, 1923, 2228, 11186, 4834, 9498, 1923, 1826, 538, 513, 15821, 3830, 543, 1397, 519, 2626, 1923, 14921, 4009, 3597, 6207, 2418, 1923, 28976, 23055, 1923, 28976, 7215, 609, 18119, 9889, 1801, 1923, 1826, 538, 513, 15821, 3830, 543, 1397, 519, 2626, 1923, 2228, 2979, 2042, 1923, 1079, 31085, 3242, 656, 3070, 540, 519, 3830, 1923, 519, 3670, 28809, 2010, 538, 7223, 692, 12041, 24606, 454, 323, 515, 341, 714, 867, 692, 8802, 626, 1229, 281, 476, 3066, 269, 6021, 269, 1220, 273, 454, 5804, 1384, 17397, 281, 13628, 476, 2764, 628, 540, 5463, 476, 5881, 281, 2537, 4024, 18825, 581, 2111, 547, 4990, 856, 1250, 7411, 609, 1250, 2979, 286, 594, 723, 1500, 3646, 547, 1265, 8885, 513, 20131, 945, 666, 948, 803, 1547, 1809, 3976, 2484, 594, 723, 711, 16309, 1547, 4706, 9157, 547, 12398, 18825, 3362, 3015, 543, 21230, 11720, 539, 1547, 1809, 1287, 594, 723, 547, 1265, 513, 3070, 547, 1250, 7411, 609, 13392, 21800, 3830, 607, 1250, 11400, 616, 3728, 16042, 1175, 1631, 269, 898, 786, 581, 513, 10373, 948, 585, 803, 952, 4896, 666, 4217, 803, 563, 665, 24417, 3570, 692, 8802, 626, 1229, 281, 476, 5400, 269, 6734, 269, 1220, 278, 454, 5804, 281, 26131, 267, 531, 1410, 663, 6319, 692, 17397, 281, 11016, 476, 3066, 628, 540, 5463, 476, 1321, 281, 4375, 1411, 666, 2119, 856, 1325, 613, 1962, 1807, 269, 901, 3301, 12777, 2337, 596, 4194, 2055, 538, 2979, 1360, 3728, 269, 1411, 666, 11690 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 873, 543, 581, 2111, 547, 3284, 1388, 1125, 593, 519, 1689, 1761, 269, 476, 1321, 269, 19410, 593, 519, 6725, 1604, 538, 18629, 286, 16373, 3664, 616, 9244, 4299, 676, 7835, 538, 519, 2797, 543, 3656, 1604, 269, 901, 1604, 568, 7768, 540, 4031, 267, 2229, 8041, 267, 543, 2604, 2516, 602, 3310, 543, 3970, 1585, 3906, 543, 2043, 269, 6884, 891, 4031, 849, 1711, 1007, 3255, 585, 1870, 269, 476, 1724, 269, 1548, 798, 596, 1611, 676, 968, 523, 16652, 17655, 892, 286, 1548, 616, 519, 1114, 5933, 538, 2825, 17655, 286, 16373, 7025, 17655, 4016, 547, 15896, 543, 512, 16478, 540, 1344, 827, 14026, 267, 3270, 267, 3466, 267, 543, 476, 277, 3347, 1369, 606, 3919, 779, 4835, 543, 5007, 1604, 269, 898, 2337, 519, 9946, 547, 6430, 519, 2104, 2619, 540, 519, 3919, 269, 2480, 8911, 1590, 2697, 519, 6937, 543, 3255, 4540, 538, 519, 1604, 543, 606, 3919, 1590, 1491, 5413, 540, 519, 3255, 543, 7413, 519, 6937, 269, 476, 1691, 269, 9181, 519, 6725, 2994, 513, 269, 5510, 2400, 16373, 4640, 674, 8787, 4497, 538, 18086, 6725, 2994, 547, 2087, 741, 1378, 8013, 2990, 676, 2921, 2344, 2671, 2476, 689, 476, 11040, 269, 5510, 2400, 2994, 1331, 1463, 543, 9940, 6285, 610, 3001, 883, 1007, 6990, 547, 2057, 1651, 3518, 550, 15712, 269, 5510, 2400, 6725, 2994, 1491, 1082, 3029, 689, 1166, 21403, 6285, 610, 21271, 532, 519, 6735, 547, 782, 13050, 28882, 6285, 5497, 547, 14710, 519, 6735, 609, 782, 2139, 1797, 693, 519, 30429, 779, 12871, 5510, 2400, 11150, 616, 674, 30613, 4323, 267, 1166, 21403, 4323, 267, 2871, 20482, 8759, 4323, 267, 1958, 1844, 2211, 4640, 267, 2392, 2218, 4640, 267, 16418, 3768, 1030, 2105, 6990, 267, 896, 27594, 4640, 267, 7225, 334, 4640, 543, 22141, 543, 519, 17200, 4640, 536, 269, 4347, 2400, 15613, 454, 10303, 540, 5571, 31195, 267, 3964, 10909, 991, 547, 4497, 538, 17872, 2994, 547, 535, 754, 1055, 519, 1585, 1971, 619, 269, 634, 3119, 3483, 540, 17872, 4640, 568, 547, 1118, 513, 2009, 4323, 796, 3430, 847, 633, 543, 25339, 1761, 1971, 619, 689, 22215, 1776, 6109, 269, 4347, 2400, 2994, 960, 1732, 950, 789, 1491, 1747, 1354, 519, 1971, 518, 2306, 606, 5092, 538, 519, 2872, 267, 610, 952, 789, 4283, 519, 2872, 1354, 14827, 7496, 616, 6659, 267, 1818, 621, 2352, 585, 519, 1971, 518, 547, 4734, 519, 2872, 269, 1703, 616, 1079, 2010, 540, 17872, 6725, 2994, 269, 2776, 268, 18782, 2994, 616, 3527, 3144, 676, 1651, 3518, 757, 1354, 789, 616, 512, 339, 17977, 676, 1971, 619, 269, 4347, 2400, 6725, 2994, 949, 849, 1491, 519, 1106, 540, 2022, 268, 18782, 3527, 602, 616, 15748, 1310, 519, 1971, 518, 814, 9411, 519, 2344, 4347, 2400, 11150, 616, 9286, 607, 2776, 268, 18782, 2994, 616, 6178, 2718, 267, 10783, 1518, 543, 9718, 267, 15147, 782, 13279, 267, 23120, 6454, 543, 27519, 7269, 269, 5403, 268, 18782, 2994, 616, 4347, 754, 2990, 1354, 1303, 7949, 3587, 3964, 282, 29130, 8165, 12478, 543, 18918, 538, 3444, 24733, 787, 476, 278, 524, 269, 18990, 6725, 4640, 281, 589, 13395, 568, 513, 811, 7522, 569, 3989, 6075, 1895, 5275, 513, 10058, 3575, 540, 2640, 563, 15812, 4394, 2356, 2697, 12137, 1127, 676, 12270, 513, 10126, 883, 1016, 12415, 269, 634, 5561, 538, 519, 13395, 723, 513, 3982, 1305, 540, 2115, 282, 789, 786, 2628, 513, 14167, 547, 519, 6109, 602, 1655, 25389, 741, 2115, 282, 519, 13395, 568, 711, 2693, 547, 4482, 824, 15712, 282, 519, 12137, 615, 12374, 1978, 11615, 998, 29286, 282, 543, 519, 13395, 814, 2450, 267, 7443, 267, 543, 2208, 1761, 269, 476, 1428, 269, 21414, 519, 1909, 267, 9165, 543, 2956, 540, 16373, 6176, 3590, 269, 769, 1931, 547, 3132, 9120, 1871, 543, 9547, 585, 5561, 267, 3549, 991, 1344, 693, 3592, 1169, 2490, 563, 14187, 2472, 543, 6725, 3292, 2253, 609, 513, 9488, 1620, 540, 7082, 2115, 543, 6499, 269, 14992, 849, 991, 10731, 1344, 593, 15712, 267, 1191, 961, 619, 267, 543, 824, 2188, 543, 4229, 538, 519, 2344, 1747, 269, 23207, 569, 2344, 619, 616, 13156, 1344, 711, 1175, 607, 606, 3403, 585, 1818, 1732, 3664, 267, 855, 849, 607, 606, 1271, 7580, 10697, 543, 513, 6725, 1907, 1775, 269, 552, 1306, 513, 8013, 5413, 10369, 1344, 2882, 782, 5013, 267, 9193, 267, 8369, 543, 824, 1344, 1031, 538, 6725, 3664, 267, 799, 5540, 519, 6725, 540, 2472, 563, 11997, 267, 519, 1967, 540, 513, 16073, 610, 513, 21471, 5673, 2390, 519, 1702, 540, 519, 7569, 540, 1010, 1587, 610, 2472, 538, 519, 2344, 269, 476, 1626, 269, 1548, 616, 519, 1585, 5933, 998, 799, 519, 6725, 1382, 568, 6896, 286, 16684, 569, 4766, 873, 269, 16373, 1382, 568, 519, 9836, 1505, 540, 11018, 267, 10916, 267, 7421, 543, 8989, 540, 1239, 543, 4466, 513, 3070, 4143, 547, 1808, 6725, 3510, 6849, 519, 2754, 269, 9232, 16373, 1382, 1184, 568, 513, 1305, 540, 3670, 3268, 799, 11225, 519, 4247, 547, 581, 12913, 538, 10647, 513, 6725, 1382, 1353, 269, 2433, 9046, 9502, 281, 3217, 883, 2272, 519, 3483, 540, 519, 1353, 267, 519, 4143, 4282, 1344, 267, 1018, 1344, 568, 2877, 267, 543, 875, 621, 786, 581, 1031, 538, 3375, 1818, 269, 1547, 476, 273, 281, 4886, 540, 606, 13979, 547, 519, 9046, 281, 2882, 1106, 6819, 606, 6662, 610, 7811, 5943, 267, 10763, 3631, 267, 1382, 2055, 267, 19165, 267, 543, 7114, 4162, 610, 2188, 602, 666, 3310, 519, 1382, 1374, 269, 1547, 476, 274, 281, 3194, 5071, 4813, 1637, 568, 513, 5943, 610, 29685, 585, 10647, 519, 6725, 1382, 1788, 269, 898, 3877, 519, 5773, 2556, 585, 13844, 519, 2838, 1344, 269, 2433, 12197, 4518, 610, 4578, 14635, 3322, 513, 2361, 3196, 610, 5234, 602, 13333, 538, 519, 2361, 547, 2445, 1239, 269, 476, 279, 476, 276, 281, 4578, 19369, 543, 5811, 281, 901, 568, 513, 1184, 540, 7255, 609, 519, 7503, 540, 4737, 1239, 883, 1344, 269, 476, 277, 281, 7797, 19369, 543, 19809, 281, 634, 4681, 1058, 581, 4843, 538, 513, 2649, 1043, 3898, 865, 602, 789, 666, 581, 11593, 1031, 538, 519, 3375, 1818, 1184, 269, 476, 1704, 269, 31692, 880, 5693, 1063, 6725, 1382, 543, 10369, 1382, 286, 10369, 1382, 9388, 4481, 609, 519, 11018, 540, 1344, 827, 513, 2344, 779, 2450, 543, 3466, 563, 15812, 564, 1382, 568, 519, 1382, 602, 949, 581, 2944, 883, 513, 2582, 2344, 267, 2519, 593, 519, 2450, 543, 3466, 538, 602, 2344, 269, 16373, 1382, 6227, 513, 9962, 2039, 540, 2238, 269, 2755, 621, 949, 4125, 2344, 1382, 267, 6725, 1382, 568, 513, 811, 2489, 9836, 1184, 602, 666, 581, 4294, 547, 513, 3099, 540, 6725, 2042, 269, 476, 1240, 269, 1548, 798, 596, 1611, 676, 968, 15812, 564, 21540, 7695, 892, 286, 11512, 922, 6662, 543, 2956, 269, 10369, 26409, 568, 8760, 540, 1804, 2344, 538, 547, 4130, 3914, 762, 3077, 6990, 1759, 593, 741, 2147, 6499, 267, 11449, 1379, 267, 543, 10923, 4087, 267, 9140, 8456, 267, 610, 9140, 6208, 563, 763, 1292, 6859, 540, 26409, 540, 2344, 568, 547, 5965, 1114, 3292, 543, 2994, 585, 782, 12415, 865, 602, 5021, 9547, 949, 581, 3177, 547, 782, 519, 6800, 685, 540, 891, 12415, 267, 543, 519, 1843, 540, 15980, 5021, 7443, 949, 581, 6913, 269, 476, 866, 269, 22682, 10646, 968, 15812, 564, 21540, 7695, 892, 543, 968, 29410, 15285, 892, 8605, 15285, 589, 6725, 1184, 602, 5654, 547, 1118, 513, 1587, 811, 10694, 676, 17804, 922, 2189, 7907, 609, 824, 12721, 2472, 269, 21988, 1587, 15285, 5932, 513, 8013, 5413, 585, 519, 22673, 563, 16498, 2472, 949, 4268, 538, 741, 4813, 267, 17972, 267, 13437, 267, 1230, 18504, 267, 667, 13701, 267, 4039, 6636, 267, 29766, 2702, 267, 13910, 1299, 5071, 269, 24641, 267, 10369, 26409, 568, 8760, 540, 1804, 2344, 538, 547, 4130, 3077, 6990, 1759, 593, 741, 2147, 6499, 267, 11449, 1379, 267, 543, 10923, 4087, 267, 9140, 8456, 267, 610, 9140, 6208, 269, 476, 736, 269, 11512, 1114, 2344, 3795, 2994, 799, 666, 581, 7550, 676, 2344, 619, 269, 476, 280, 476, 2641, 269, 968, 2467, 568, 2673, 2078, 1063, 2344, 26409, 543, 6725, 3575, 892, 9181, 269, 476, 2420, 269, 16294, 968, 29410, 892, 543, 2491, 922, 1898, 2934, 543, 2956, 563, 29410, 568, 1945, 602, 666, 581, 6035, 547, 519, 2344, 547, 14183, 519, 6075, 779, 991, 269, 589, 1587, 666, 581, 15889, 543, 30608, 799, 1131, 581, 1434, 267, 3028, 267, 606, 2856, 267, 1344, 267, 1995, 267, 1747, 543, 1268, 602, 14183, 519, 2115, 540, 519, 7082, 269, 8447, 2472, 949, 4268, 538, 741, 4813, 267, 17972, 267, 13437, 267, 1230, 18504, 267, 667, 13701, 267, 4039, 6636, 267, 29766, 2702, 267, 13910, 1299, 5071, 269, 476, 2537, 269, 16684, 569, 1865, 519, 1585, 2010, 540, 7082, 5370, 543, 741, 4162, 269, 19901, 5370, 616, 5370, 602, 616, 11751, 689, 10685, 8637, 585, 2123, 267, 1920, 267, 610, 7622, 946, 269, 1358, 616, 19882, 883, 1614, 23658, 20975, 593, 519, 4493, 540, 7082, 9140, 6208, 912, 296, 269, 1230, 1597, 1466, 5370, 4083, 269, 19255, 4771, 5370, 543, 8633, 269, 7981, 1399, 5370, 269, 594, 269, 1230, 1597, 1466, 6153, 338, 616, 3688, 602, 18046, 1616, 547, 4444, 609, 519, 2547, 2179, 540, 4674, 267, 543, 1034, 616, 1875, 706, 571, 1076, 5370, 540, 1970, 1871, 602, 616, 4749, 12349, 538, 1507, 9424, 269, 4083, 269, 19255, 4771, 6153, 338, 616, 12349, 1152, 1310, 519, 23138, 19776, 519, 2472, 540, 811, 982, 835, 4558, 610, 5654, 693, 811, 982, 835, 25819, 540, 5370, 1354, 1818, 513, 20982, 9140, 3375, 269, 1452, 5370, 616, 2356, 540, 2362, 1871, 982, 13418, 5370, 267, 11751, 1102, 18526, 267, 543, 616, 14463, 269, 12313, 267, 2298, 267, 2511, 267, 543, 2681, 616, 6093, 2188, 538, 519, 9140, 3375, 563, 7656, 269, 7981, 1399, 6153, 338, 616, 3688, 602, 616, 2189, 610, 8966, 1765, 520, 2547, 538, 519, 2247, 540, 519, 23138, 269, 16179, 619, 917, 4010, 1018, 789, 1616, 543, 616, 8348, 547, 11851, 9645, 4674, 547, 3489, 621, 269, 1452, 5370, 616, 2356, 267, 855, 711, 8209, 267, 540, 1164, 1871, 267, 543, 789, 949, 610, 949, 711, 581, 14463, 5370, 476, 2190, 269, 1548, 568, 968, 29410, 1272, 4783, 892, 286, 9181, 1114, 5933, 540, 519, 1523, 609, 6286, 269, 634, 5933, 998, 799, 1367, 2472, 1020, 936, 942, 267, 5956, 609, 519, 4367, 540, 519, 1587, 267, 543, 1287, 621, 7575, 593, 547, 519, 2208, 3942, 267, 519, 15657, 3942, 267, 543, 7475, 609, 513, 7771, 538, 519, 1587, 779, 6455, 563, 1607, 1184, 1587, 779, 1272, 4783, 910, 704, 1675, 2356, 5161, 540, 2947, 2101, 3268, 610, 11775, 281, 476, 272, 264, 8605, 4886, 5956, 950, 519, 2754, 9060, 543, 10953, 519, 2856, 540, 513, 1007, 1587, 269, 769, 713, 3942, 267, 6455, 616, 4642, 543, 9541, 3790, 616, 1164, 269, 476, 1015, 476, 273, 264, 4985, 568, 513, 1974, 540, 3500, 6455, 2208, 543, 1100, 12434, 607, 519, 1587, 568, 5189, 538, 519, 2344, 269, 476, 274, 264, 12618, 568, 513, 1974, 540, 4028, 2344, 10343, 543, 2810, 12434, 269, 476, 275, 264, 4223, 12053, 568, 513, 1974, 540, 3500, 6658, 538, 6455, 543, 12434, 7771, 269, 476, 276, 264, 13207, 710, 568, 513, 1974, 950, 6455, 2887, 1055, 543, 12434, 6749, 269, 476, 1839, 563, 23737, 519, 6725, 2994, 799, 949, 581, 7550, 1282, 519, 29488, 540, 513, 1587, 269, 16373, 2994, 1282, 519, 1272, 268, 12860, 540, 513, 1587, 16373, 2994, 1282, 1587, 1272, 4783, 4985, 3942, 21826, 4787, 21148, 4640, 267, 3500, 1236, 21148, 4640, 267, 21826, 21774, 4640, 543, 3500, 21774, 4640, 267, 17392, 12417, 616, 5189, 267, 20548, 4809, 14499, 12618, 3942, 8605, 6454, 267, 1007, 3631, 616, 2919, 267, 2037, 1562, 1007, 2344, 10126, 267, 2037, 331, 1173, 525, 3892, 9055, 3092, 269, 2073, 7496, 616, 27121, 543, 5299, 23412, 267, 3902, 10958, 4223, 12053, 3942, 454, 3519, 3200, 1875, 22852, 267, 9373, 1007, 2344, 12415, 267, 12736, 14847, 3218, 779, 5561, 3092, 267, 16373, 3575, 12381, 538, 31245, 267, 17392, 267, 31055, 267, 6455, 13319, 267, 2123, 9513, 267, 3028, 267, 1007, 12478, 616, 5189, 267, 8871, 10056, 543, 10229, 882, 665, 919, 689, 519, 9165, 540, 3478, 1007, 5561, 267, 547, 519, 9165, 540, 1587, 15285, 538, 2474, 540, 2298, 543, 10727, 269, 476, 2918, 269, 11512, 519, 2188, 7133, 519, 1272, 268, 12860, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5228, 28184, 5793, 1104, 2608, 1477, 5228, 28184, 5793, 1104, 512, 339, 330, 5897, 10174, 815, 570, 330, 14052, 10174, 26644, 3488, 2969, 289, 23808, 595, 7709, 295, 2207, 13673, 10135, 24688, 3582, 11550, 16165, 4456, 20298, 10174, 269, 637, 14184, 263, 12148, 267, 6936, 3418, 10174, 269, 5976, 9526, 31476, 10174, 8807, 9347, 318, 3650, 518, 815, 512, 339, 330, 12171, 9347, 31476, 1777, 330, 11482, 8475, 20172, 8807, 9347, 318, 3650, 518, 267, 1257, 8782, 4263, 321, 1662, 595, 8327, 3299, 2511, 8782, 23175, 518, 11053, 299, 8475, 262, 1040, 28186, 21405, 284, 271, 267, 6241, 284, 272, 3418, 1777, 330, 11482, 8475, 20172, 8807, 9347, 318, 3650, 518, 267, 1257, 8782, 17806, 281, 3299, 2511, 8782, 23175, 518, 11053, 299, 8475, 262, 1040, 28186, 21405, 284, 273, 267, 6241, 284, 271, 3418, 1777, 330, 11482, 8475, 20172, 8807, 9347, 318, 3650, 518, 267, 1257, 8782, 21886, 7973, 539, 270, 13356, 7973, 539, 7956, 281, 476, 22207, 2511, 8782, 23175, 518, 11053, 299, 8475, 262, 1040, 28186, 21405, 284, 275, 267, 6241, 284, 271, 10142, 3667, 318, 18782, 815, 512, 339, 330, 9950, 660, 787, 20172, 8807, 9347, 318, 3650, 518, 267, 8700, 284, 1911, 3418, 3667, 318, 18782, 26942, 21405, 284, 273, 267, 6241, 284, 272, 10142, 16780, 318, 20657, 26748, 815, 512, 339, 330, 9950, 660, 787, 20172, 8807, 9347, 318, 3650, 518, 267, 8700, 284, 1911, 3418, 16780, 318, 20657, 26748, 26942, 21405, 284, 275, 267, 6241, 284, 272, 10142, 258, 2311, 321, 1662, 29905, 6388, 1477, 3698, 693, 321, 1662, 318, 523, 13892, 318, 1372, 13892, 28399, 825, 1958, 318, 20657, 26748, 19709, 8541, 263, 271, 267, 13673, 291, 10142, 825, 521, 815, 1257, 318, 18782, 10947, 14052, 825, 521, 815, 1193, 4433, 10142, 825, 9338, 15771, 5723, 292, 4811, 815, 1412, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 262, 476, 1948, 1325, 874, 24878, 538, 3312, 1106, 1477, 825, 5442, 309, 12224, 3633, 318, 3201, 15771, 5723, 292, 4811, 815, 1412, 313, 312, 311, 310, 309, 308, 4811, 305, 304, 303, 2177, 7876, 298, 297, 296, 295, 24427, 3633, 290, 10621, 262, 476, 1948, 1325, 874, 24878, 538, 30141, 1106, 5897, 825, 524, 760, 22363, 318, 21622, 3667, 815, 32582, 476, 1948, 16440, 524, 760, 22363, 5569, 538, 1592, 1477, 825, 585, 4484, 538, 521, 269, 21639, 28399, 1038, 952, 4484, 18994, 10401, 28399, 2018, 5022, 318, 19563, 24878, 16229, 815, 9338, 15771, 5723, 292, 4811, 28827, 263, 12072, 264, 476, 1948, 9612, 585, 4484, 4994, 538, 9338, 15771, 5723, 292, 4811, 1477, 2018, 5022, 18425, 18425, 30062, 815, 5442, 309, 12224, 3633, 318, 3201, 15771, 5723, 292, 4811, 314, 24393, 318, 19563, 24878, 16229, 316, 476, 1948, 26969, 519, 4994, 609, 519, 4484, 689, 30141, 26897, 5569, 5897, 2018, 524, 760, 22363, 318, 21622, 3667, 6910, 263, 24393, 18425, 18425, 30062, 3418, 1038, 3116, 6769, 2018, 524, 760, 22363, 318, 21622, 3667, 6910, 263, 12072, 3418, 825, 1958, 318, 20657, 26748, 27044, 263, 271, 267, 1412, 8339, 21860, 6262, 760, 22363, 318, 21622, 3667, 264, 10142, 16780, 7973, 318, 20657, 7973, 318, 31728, 815, 512, 339, 330, 269, 3719, 2023, 20172, 8807, 9347, 318, 3650, 518, 267, 1257, 6889, 21886, 7973, 270, 13356, 7973, 2580, 1477, 23351, 4971, 284, 14433, 281, 693, 321, 1662, 318, 523, 13892, 318, 1372, 13892, 3890, 3418, 16780, 7973, 318, 20657, 7973, 318, 31728, 26942, 21405, 284, 274, 267, 6241, 284, 272, 10142, 10174, 8807, 9347, 318, 3650, 518, 4877, 871, 14052, 10174, 6230, 664, 31467, 14052, 0, 272, 269, 7003, 3488, 1372, 539, 10807, 2652, 476, 275, 672, 1412, 4226, 262, 538, 1412, 4725, 527, 28847, 273, 269, 476, 271, 692, 274, 269, 7544, 318, 5882, 15631, 275, 316, 8587, 7544, 318, 5882, 314, 274, 6540, 275, 269, 2140, 314, 273, 6540, 276, 269, 521, 15631, 276, 281, 316, 567, 521, 314, 275, 281, 280, 6540, 277, 269, 14834, 600, 692, 278, 269, 1412, 29582, 11277, 8339, 529, 531, 11133, 3890, 567, 1412, 20625, 8339, 21639, 3890, 2652, 1412, 4338, 303, 4041, 28847, 279, 269, 521, 18994, 10401, 3890, 610, 521, 18994, 333, 10179, 545, 3890, 672, 521, 31573, 3890, 610, 521, 269, 21639, 3890, 610, 521, 18994, 323, 13424, 10797, 280, 269, 521, 272, 25331, 22772, 4433, 273, 2020, 1015, 269, 476, 4649, 692, 1556, 269, 476, 280, 692, 1321, 269, 476, 9826, 14338, 31172, 3393, 276, 5780, 278, 4281, 279, 4200, 692, 1724, 269, 5048, 815, 1412, 31917, 476, 3066, 628, 256, 7055, 2908, 8548, 20687, 815, 1412, 7055, 1721, 1347, 538, 5048, 912, 825, 952, 1347, 18994, 323, 13424, 10031, 1038, 1007, 8548, 20687, 815, 1007, 8548, 20687, 1341, 1193, 9230, 842, 263, 10420, 264, 1341, 476, 272, 264, 4939, 476, 1015, 994, 825, 3116, 912, 1038, 1007, 8548, 20687, 815, 1007, 8548, 20687, 1341, 1347, 454, 2745, 28956, 8548, 20687, 9239, 332, 20687, 815, 1412, 31917, 476, 3066, 628, 256, 7055, 2908, 8548, 20687, 815, 15234, 692, 1721, 1347, 538, 5048, 912, 825, 952, 711, 1347, 18994, 323, 13424, 10031, 1038, 1007, 8548, 20687, 815, 1007, 8548, 20687, 1341, 1347, 454, 825, 3116, 912, 1038, 1007, 8548, 20687, 815, 1007, 8548, 20687, 1341, 1193, 9230, 842, 263, 10420, 264, 1341, 476, 272, 264, 4939, 476, 1015, 2020, 2745, 28956, 8548, 20687, 9239, 1691, 269, 585, 669, 538, 521, 272, 912, 1038, 952, 669, 538, 521, 273, 912, 2018, 759, 815, 759, 1341, 669, 692, 7531, 0, 258, 31596, 585, 5119, 8691, 1477, 5814, 11885, 607, 5286, 1477, 5814, 942, 476, 5897, 258, 19702, 1963, 21506, 333, 20189, 5200, 815, 476, 1015, 1477, 333, 17750, 338, 815, 476, 1015, 1477, 333, 318, 16059, 338, 815, 476, 1015, 5897, 258, 338, 2217, 1239, 21506, 333, 5334, 3263, 815, 476, 4968, 5897, 258, 30104, 6724, 21506, 14048, 318, 3433, 815, 476, 271, 269, 4905, 1948, 13981, 2557, 568, 513, 5409, 268, 12407, 2678, 602, 8060, 875, 1454, 649, 616, 14577, 519, 12035, 540, 938, 3060, 609, 2463, 519, 2530, 13506, 23228, 332, 30291, 636, 815, 476, 271, 269, 280, 5897, 258, 12061, 15002, 2065, 694, 5338, 1477, 12639, 20179, 269, 23092, 263, 271, 10142, 258, 716, 10474, 3252, 1477, 3698, 521, 31451, 3287, 8029, 825, 2132, 476, 272, 269, 271, 14370, 272, 269, 271, 1341, 5286, 269, 10339, 8987, 343, 264, 10142, 3698, 16009, 327, 318, 18905, 3287, 8029, 825, 2132, 476, 272, 910, 5286, 6745, 534, 327, 3287, 264, 1262, 273, 5897, 5897, 258, 10177, 1456, 1599, 21506, 825, 1948, 343, 2433, 3403, 1239, 1477, 825, 1948, 339, 2433, 10520, 2821, 21506, 825, 1948, 966, 267, 310, 2433, 476, 273, 6106, 1477, 825, 1948, 536, 341, 2073, 321, 342, 2433, 12886, 540, 6106, 1477, 3698, 5721, 3287, 2073, 512, 2073, 966, 2073, 654, 2073, 536, 341, 2073, 536, 342, 476, 8029, 825, 1948, 1721, 4546, 323, 1697, 326, 1674, 476, 9847, 5119, 8691, 476, 1341, 12886, 1477, 825, 589, 815, 5286, 31715, 3287, 2073, 309, 264, 1341, 536, 341, 1477, 825, 2098, 815, 5286, 6745, 534, 327, 10490, 10142, 825, 1948, 313, 568, 519, 3977, 689, 1101, 4494, 543, 3403, 540, 2034, 4494, 1477, 24541, 825, 645, 815, 5286, 31715, 263, 313, 267, 310, 264, 1341, 536, 342, 1477, 825, 962, 815, 521, 31451, 16360, 10142, 825, 1948, 3724, 5320, 1697, 326, 566, 21506, 825, 661, 342, 815, 962, 910, 339, 1477, 825, 5345, 815, 16009, 327, 318, 18905, 10490, 264, 2608, 5286, 31715, 263, 310, 2073, 292, 342, 10142, 825, 1948, 335, 9438, 938, 6336, 21506, 825, 546, 310, 815, 5286, 269, 537, 614, 263, 313, 2073, 661, 342, 3418, 825, 546, 309, 815, 5286, 269, 537, 614, 3287, 2073, 5345, 10142, 825, 1948, 29589, 1303, 15577, 1477, 825, 2530, 815, 910, 12639, 32557, 6025, 2608, 5286, 28802, 263, 312, 264, 2608, 630, 272, 2389, 264, 2608, 5286, 28802, 263, 272, 25286, 264, 10142, 825, 2132, 2530, 267, 630, 323, 309, 2073, 546, 310, 2073, 5345, 2073, 661, 342, 3418, 5897, 3698, 3589, 3287, 2073, 966, 2073, 654, 2073, 536, 341, 2073, 536, 342, 476, 8029, 825, 589, 815, 5286, 31715, 3287, 2073, 966, 264, 1341, 536, 341, 1477, 825, 645, 815, 5286, 31715, 263, 5286, 6745, 534, 327, 10490, 264, 2073, 654, 3738, 476, 1341, 536, 342, 1477, 825, 2132, 630, 338, 31451, 16360, 264, 476, 3436, 476, 476, 271, 269, 276, 1040, 770, 4286, 17301, 10142, 258, 322, 11661, 6106, 1477, 309, 815, 5286, 20179, 269, 7538, 263, 29173, 815, 476, 271, 269, 272, 2073, 2450, 14352, 333, 17750, 338, 267, 562, 20189, 5200, 17903, 310, 815, 5286, 20179, 269, 7538, 263, 29173, 815, 476, 271, 269, 272, 2073, 2450, 14352, 333, 20189, 5200, 267, 562, 318, 16059, 338, 264, 10142, 258, 6798, 1162, 21506, 321, 341, 815, 5286, 25910, 3799, 20189, 5200, 3418, 321, 342, 815, 5286, 25910, 3799, 318, 16059, 338, 10142, 12407, 4394, 815, 1496, 309, 267, 654, 2073, 536, 341, 2073, 536, 342, 316, 5897, 258, 2102, 26147, 1239, 21506, 311, 815, 5286, 20179, 12500, 30796, 263, 272, 2073, 476, 271, 269, 276, 2073, 263, 333, 5334, 3263, 2073, 562, 17750, 338, 4297, 567, 1477, 307, 815, 2473, 9745, 476, 272, 476, 5897, 258, 10177, 1456, 942, 1477, 1721, 22184, 538, 2039, 263, 1911, 8029, 825, 20093, 815, 1496, 15947, 825, 4253, 815, 1496, 271, 30297, 6352, 263, 12407, 4394, 10142, 825, 512, 271, 476, 815, 942, 269, 15263, 22710, 14052, 825, 1948, 1721, 1142, 1239, 1448, 2073, 9337, 938, 12035, 21506, 825, 585, 476, 1775, 538, 2039, 11583, 17482, 314, 271, 316, 8029, 1038, 2530, 2073, 5552, 476, 815, 5721, 11583, 5157, 316, 2073, 570, 5157, 316, 2073, 2608, 12407, 4394, 3418, 24541, 1038, 1948, 26303, 2530, 1477, 1038, 585, 795, 538, 2039, 12759, 263, 12407, 4394, 264, 8029, 2018, 6724, 14728, 316, 20699, 4253, 14728, 15947, 1363, 1477, 1038, 585, 795, 538, 2039, 12759, 263, 12407, 4394, 264, 8029, 2018, 4253, 14728, 316, 815, 1565, 318, 3433, 2608, 5552, 14728, 316, 2608, 11610, 2608, 4253, 14728, 316, 5897, 1038, 20093, 6910, 10857, 1601, 3418, 24541, 825, 1820, 3488, 22977, 5255, 2433, 260, 323, 2073, 2530, 2433, 4939, 323, 2073, 942, 2433, 4939, 269, 275, 325, 521, 262, 260, 263, 788, 5255, 2073, 5286, 32557, 263, 20482, 264, 2073, 942, 269, 15263, 22710, 3890, 268, 339, 271, 17903, 5897, 258, 11687, 1239, 543, 3977, 1477, 343, 815, 5286, 20179, 12500, 30796, 263, 272, 2073, 476, 271, 269, 276, 2073, 562, 17750, 338, 3418, 2745, 3488, 311, 3036, 12605, 1412, 3418, 2745, 3287, 3418, 2745, 9638, 9438, 3287, 2073, 265, 12407, 4394, 4297, 567, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 16579, 525, 16814, 3349, 689, 2230, 9674, 2418, 454, 5814, 19523, 454, 3698, 1711, 12487, 7876, 14456, 5804, 17572, 10031, 476, 952, 7003, 4433, 903, 27769, 341, 264, 2525, 272, 912, 825, 1820, 834, 332, 1170, 532, 3403, 543, 3977, 6119, 4840, 825, 2132, 3097, 476, 8640, 7003, 4433, 903, 27769, 341, 264, 2525, 273, 912, 825, 1820, 834, 332, 1170, 532, 3977, 3758, 4840, 8931, 476, 1710, 815, 1930, 4433, 903, 27769, 341, 314, 272, 7481, 476, 856, 284, 9131, 283, 14456, 285, 315, 333, 23300, 476, 585, 1899, 538, 1710, 912, 825, 959, 284, 14277, 476, 2999, 13700, 285, 315, 333, 31116, 825, 585, 1714, 538, 1899, 21858, 10031, 8587, 959, 6910, 2891, 825, 2999, 11575, 285, 4939, 338, 21742, 11575, 285, 315, 333, 257, 4939, 630, 601, 4917, 825, 959, 6910, 2891, 476, 21742, 13700, 285, 315, 333, 5602, 825, 856, 23785, 13700, 454, 476, 856, 6910, 2891, 9572, 14456, 285, 5602, 476, 535, 719, 284, 13449, 4433, 903, 27769, 341, 314, 273, 316, 2437, 342, 5602, 476, 535, 719, 22182, 3488, 8339, 21860, 263, 719, 4917, 3097, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 476, 1711, 12487, 7876, 14456, 5804, 17572, 4590, 0, 1477, 18257, 1477, 1262, 17637, 324, 513, 9498, 799, 786, 2953, 330, 569, 1793, 913, 782, 519, 1966, 4849, 519, 1165, 331, 6851, 532, 3283, 6769, 3393, 265, 274, 284, 27898, 267, 476, 6321, 266, 280, 284, 6507, 267, 6321, 270, 277, 284, 275, 1477, 18257, 1477, 514, 335, 272, 815, 3403, 2891, 28072, 14744, 2745, 2891, 11767, 476, 272, 560, 1297, 281, 834, 3418, 1998, 272, 284, 703, 9272, 3890, 3418, 2745, 2891, 11767, 476, 273, 526, 1297, 281, 834, 3418, 1998, 273, 284, 703, 9272, 3890, 3418, 1998, 274, 284 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1134, 20452, 5641, 945, 782, 1404, 883, 519, 782, 2987, 5477, 1612, 8457, 807, 14320, 1134, 2429, 267, 3627, 2961, 335, 10938, 781, 634, 774, 532, 568, 606, 11613, 15851, 543, 6366, 13050, 13858, 1414, 30235, 16897, 4487, 1740, 602, 796, 23896, 2406, 18387, 1405, 9907, 513, 3787, 269, 4653, 2290, 9540, 774, 532, 568, 22745, 519, 1101, 5177, 6268, 1382, 883, 519, 23046, 23247, 27800, 538, 2021, 779, 30813, 538, 4789, 607, 851, 540, 519, 9962, 29460, 23247, 769, 11526, 19541, 602, 519, 17493, 814, 1044, 12419, 538, 30813, 2094, 269, 3143, 774, 532, 538, 634, 774, 532, 5654, 20716, 2147, 547, 519, 32049, 7068, 602, 2961, 335, 10938, 1185, 563, 305, 1442, 2718, 7699, 568, 1031, 676, 7366, 540, 3506, 543, 5051, 267, 676, 3885, 16462, 741, 3214, 547, 1451, 5053, 538, 513, 1187, 543, 2500, 1259, 269, 570, 11274, 15080, 1280, 4548, 26264, 1341, 6583, 1501, 9184, 1160, 269, 2859, 769, 2592, 269, 2098, 541, 2240, 631, 26710, 10964, 335, 712, 476, 272, 1554, 3516, 2290, 1290, 545, 8525, 563, 5881, 267, 5990, 9501, 302, 2177, 562, 269, 4437, 329, 593, 338, 682, 518, 14247, 803, 518, 15854, 10246, 523, 552, 523, 642, 752, 269, 6258, 476, 1789, 266, 4654, 2228, 609, 11116, 20695, 4245, 1759, 593, 2257, 269, 2859, 9604, 267, 811, 2157, 267, 811, 14763, 267, 811, 774, 532, 268, 1320, 532, 256, 18648, 267, 4057, 8486, 3814, 803, 2336, 2171, 616, 4867, 11049, 936, 476, 17734, 4930, 267, 543, 596, 666, 948, 256, 6496, 621, 2097, 689, 3668, 540, 2702, 610, 1970, 8404, 286, 17791, 325, 3019, 269, 634, 4190, 5053, 27959, 267, 21965, 540, 589, 16400, 267, 4044, 919, 519, 10424, 22871, 540, 4789, 609, 606, 3750, 593, 519, 17599, 269, 4354, 1555, 5455, 269, 681, 792, 9792, 1759, 593, 942, 543, 3510, 269, 8050, 779, 11452, 6669, 5397, 1305, 547, 1376, 593, 5412, 476, 2767, 269, 2073, 23882, 267, 519, 8087, 2829, 568, 1753, 547, 519, 4102, 22178, 2551, 3544, 540, 2520, 3073, 807, 543, 21429, 563, 25820, 1299, 14321, 282, 4037, 269, 6168, 519, 18648, 4658, 779, 22411, 281, 589, 2817, 11910, 585, 26874, 4860, 2526, 269, 2349, 770, 1299, 4375, 282, 655, 782, 538, 713, 1007, 774, 532, 774, 532, 3014, 256, 19255, 2221, 256, 834, 634, 476, 3192, 271, 338, 7641, 1397, 267, 1759, 593, 519, 2835, 676, 23718, 16016, 8712, 8187, 518, 267, 16768, 585, 476, 280, 12405, 543, 5182, 1042, 9253, 20811, 31408, 607, 23718, 16016, 8712, 269, 17650, 1393, 3135, 547, 2961, 4471, 910, 2904, 325, 1515, 4012, 345, 710, 781, 20419, 14816, 8004, 563, 293, 12188, 540, 519, 18648, 2480, 7949, 517, 267, 2480, 7949, 517, 267, 12425, 269, 2859, 18648, 7044, 269, 5053, 10346, 630, 2537, 264, 10361, 547, 519, 2405, 609, 938, 5053, 10346, 269, 24770, 568, 513, 19224, 548, 538, 519, 1259, 540, 513, 2197, 781, 3356, 269, 8073, 606, 2272, 610, 2845, 538, 547, 17749, 910, 589, 2241, 267, 1187, 1299, 3860, 1259, 547, 7001, 267, 12575, 1299, 2671, 6337, 267, 7044, 1299, 6835, 609, 2828, 1299, 1920, 563, 10403, 1773, 904, 5296, 338, 1280, 519, 4928, 269, 1879, 519, 31557, 543, 2038, 25245, 13896, 8452, 538, 513, 1007, 1747, 789, 4547, 609, 873, 741, 9821, 543, 3656, 1949, 269, 6787, 596, 616, 1565, 5053, 547, 1353, 267, 960, 13383, 267, 610, 1616, 606, 13675, 547, 519, 4914, 1893, 267, 2606, 5053, 6030, 543, 2228, 5053, 5049, 786, 948, 596, 1205, 3323, 269, 18391, 585, 519, 4214, 540, 8946, 5058, 286, 3143, 1104, 320, 24140, 261, 18597, 282, 956, 694, 534, 512, 639, 703, 31013, 525, 563, 23613, 667, 611, 18648, 667, 611, 281, 1548, 519, 6762, 17546, 4256, 8866, 6168, 14559, 2334, 519, 18648, 543, 5664, 4147, 1684, 3502, 256, 4855, 856, 1018, 568, 519, 2407, 2495, 540, 18161, 3036, 593, 2806, 12934, 9911, 269, 18648, 9297, 1965, 19448, 7898, 3120, 791, 637, 322, 785, 1043, 16948, 524, 783, 638, 1512, 1268, 320, 703, 31013, 3385, 679, 3288, 2144, 2784, 545, 30685, 632, 3288, 533, 984, 516, 5633, 267, 911, 321, 1690, 324, 16948, 1128, 527, 1075, 542, 525, 579, 744, 7582, 29679, 269, 966, 643, 7949, 774, 532, 10370, 7879, 281, 772, 327, 269, 476, 2420, 8472, 29443, 23463, 476, 274, 281, 6795, 15014, 29643, 269, 18648, 6196, 2349, 534, 16408, 2336, 21132, 1374, 568, 2965, 689, 519, 3627, 2961, 335, 10938, 4670, 256, 11261, 281, 20029, 655, 281, 7043, 3856, 18302, 540, 18347, 998, 2480, 23705, 1470, 1107, 1315, 269, 654, 4141, 267, 530, 4141, 568, 803, 256, 6168, 519, 11866, 563, 301, 14865, 611, 1315, 589, 261, 25240, 282, 334, 715, 826, 17383, 269, 634, 774, 532, 568, 513, 2257, 5708, 16897, 4670, 9859, 676, 269, 4804, 543, 9752, 5053, 269, 1358, 2366, 5863, 15156, 547, 798, 11925, 609, 721, 269, 13201, 23217, 1044, 3013, 781, 30856, 6070, 543, 14723, 1984, 2754, 563, 289, 1195, 268, 1320, 532, 11788, 31733, 17807, 269, 15012, 2974, 654, 573, 652, 966, 754, 528, 543, 16257, 8081, 269, 1299, 26289, 274, 282, 261, 3953, 282, 32046, 676, 21877, 29778, 563, 28049, 5678, 15440, 5507, 16373, 5438, 27624, 13786, 4850, 476, 272, 269, 16797, 3758, 4994, 532, 269, 1358, 4769, 1405, 1175, 6494, 513, 1906, 13538, 269, 4210, 2086, 268, 1320, 836, 5851, 547, 13648, 625, 1299, 22447, 269, 634, 3009, 1965, 585, 5053, 568, 6190, 585, 1034, 3096, 267, 855, 824, 13172, 531, 9479, 1223, 581, 3730, 538, 930, 3871, 269, 9502, 540, 4057, 538, 519, 26479, 563, 6701, 596, 540, 3656, 2085, 547, 2070, 713, 3896, 286, 476, 7176, 274, 271, 3162, 476, 7906, 560, 853, 267, 645, 268, 14625, 27925, 267, 589, 313, 476, 25616, 4510, 269, 5053, 661, 22029, 269, 661, 4614, 5391, 549, 4766, 19448, 513, 2889, 343, 574, 30685, 524, 1304, 881, 320, 513, 24140, 3878, 525, 1514, 525, 16948, 15255, 524, 783, 525, 547, 323, 657, 1212, 655, 657, 4557, 518, 1151, 1075, 542, 525, 2336, 763, 6519, 5600, 1767, 519, 2832, 540, 519, 1847, 729, 547, 834, 335, 668, 1774, 519, 3106, 543, 269, 1520, 11187, 267, 4057, 6440, 518, 267, 4057, 6440, 652, 269, 27084, 538, 7005, 269, 476, 14689, 273, 8249, 269, 2859, 5053, 2592, 269, 1284, 1118, 14540, 811, 11327, 543, 1930, 1007, 8907, 12535, 609, 15813, 3059, 2833, 3710, 593, 519, 6531, 563, 300, 6973, 2251, 10905, 1079, 8188, 883, 835, 256, 623, 872, 576, 9335, 267, 623, 269, 4208, 798, 649, 991, 6710, 3435, 888, 261, 26289, 274, 282, 261, 3953, 282, 13425, 2659, 4165, 28225, 22627, 269, 3798, 311, 3091, 2596, 5053, 1893, 6030, 602, 596, 666, 1491, 547, 1451, 5053, 2228, 693, 707, 1378, 10605, 269, 4855, 856, 827, 1272, 585, 3638, 543, 4057, 1453, 563, 763, 5053, 1507, 10824, 616, 4998, 585, 3478, 6266, 540, 2370, 17486, 883, 513, 7594, 269, 1703, 814, 1044, 513, 2603, 540, 2911, 827, 513, 6450, 2393, 540, 519, 1397, 267, 2687, 547, 30007, 28315, 267, 945, 13264, 519, 3377, 269, 968, 4415, 519, 2338, 540, 4057, 1004, 538, 519, 772, 269, 8080, 547, 5053, 30329, 269, 11473, 1923, 476, 6349, 281, 4366, 269, 16179, 5053, 5678, 20861, 607, 513, 7300, 552, 26247, 2336, 9596, 23882, 609, 1863, 7317, 15460, 269, 5398, 7813, 267, 513, 2347, 835, 3613, 641, 2883, 22045, 267, 5356, 513, 2039, 540, 6589, 267, 5491, 6486, 267, 12029, 267, 12074, 543, 824, 2883, 11226, 585, 938, 2123, 543, 5010, 5561, 269, 634, 23155, 24522, 630, 303, 4673, 299, 1442, 264, 568, 2189, 547, 476, 274, 6181, 3022, 774, 532, 267, 543, 2189, 547, 1160, 16186, 476, 273, 269, 10507, 630, 28049, 1070, 1965, 268, 2464, 630, 290, 770, 650, 1014, 270, 8050, 264, 1965, 5336, 311, 630, 31142, 1977, 19072, 1410, 4815, 264, 1965, 268, 2752, 630, 6635, 7217, 15687, 264, 4033, 2197, 9479, 630, 3041, 302, 476, 22332, 277, 268, 272, 268, 10401, 268, 273, 264, 8466, 853, 1137, 269, 4804, 5053, 568, 711, 1175, 606, 10694, 20089, 585, 1346, 3168, 547, 22962, 741, 3318, 543, 2123, 3255, 269, 10606, 476, 271, 587, 495, 1015, 595, 563, 28049, 21263, 562, 10902, 281, 4676, 619, 547, 1268, 267, 1747, 267, 3364, 267, 2298, 269, 5788, 30052, 267, 596, 261, 4375, 282, 516, 711, 2469, 547, 581, 2111, 547, 2161, 3388, 596, 1616, 547, 2161, 609, 1152, 476, 1911, 5053, 1913, 2443, 4352, 596, 1223, 798, 19599, 1134, 609, 7864, 982, 476, 272, 267, 1822, 269, 2311, 713, 1448, 267, 621, 568, 2693, 711, 2556, 547, 917, 782, 540, 873, 267, 855, 789, 616, 782, 7396, 1934, 547, 849, 4196, 607, 4704, 269, 18647, 5794, 20514, 269, 8073, 267, 1098, 22056, 267, 14377, 267, 543, 12575, 3810, 7298, 6725, 267, 1587, 267, 10229, 267, 543, 3656, 1543, 476, 273, 563, 301, 677, 14665, 18518, 261, 4375, 282, 338, 11426, 13437, 14825, 12067, 7981, 1235, 256, 667, 8817, 2390, 17493, 610, 1857, 1489, 269, 4855, 856, 811, 563, 763, 774, 532, 281, 476, 1015, 670, 6493, 2986, 674, 2803, 17495, 12976, 769, 634, 476, 2735, 273, 9710, 2928, 2233, 19712, 476, 2735, 273, 781, 634, 774, 532, 2934, 835, 540, 519, 1034, 3905, 569, 11546, 321, 730, 8753, 538, 16897, 1686, 267, 543, 1934, 616, 476, 1015, 23456, 22509, 17495, 12976, 519, 7260, 781, 10678, 269, 21512, 309, 4753, 630, 28049, 264, 30521, 1774, 7697, 632, 9919, 25917, 568, 513, 1857, 3376, 322, 2120, 269, 834, 6196, 2631, 568, 12873, 538, 2034, 3693, 540, 554, 755, 902, 543, 538, 19360, 545, 1325, 2251, 267, 519, 4182, 781, 2489, 10198, 269, 634, 1101, 3364, 547, 2638, 568, 519, 4276, 1063, 519, 19215, 10814, 543, 519, 1394, 540, 707, 269, 898, 3568, 936, 476, 9873, 267, 1822, 2474, 543, 476, 7742, 267, 1822, 16627, 538, 1312, 2296, 543, 5053, 267, 543, 269, 1548, 779, 2027, 827, 2713, 538, 14522, 286, 476, 3583, 966, 4811, 476, 273, 910, 634, 6129, 849, 14380, 910, 23893, 476, 3583, 966, 4811, 476, 274, 910, 27950, 589, 269, 634, 5152, 568, 1655, 1634, 585, 922, 476, 3422, 277, 3382, 676, 519, 2296, 6512, 634, 18858, 1375, 338, 267, 799, 6603, 519, 1297, 835, 5544, 593, 519, 9291, 4580, 12182, 476, 1911, 538, 5147, 476, 3422, 277, 563, 29423, 1470, 1320, 532, 568, 606, 8301, 3301, 2754, 5059, 593, 8301, 11690, 1231, 630, 309, 4306, 267, 22847, 267, 21191, 311, 1040, 29073, 1280, 634, 18648, 15012, 721, 538, 519, 4339, 1996, 6710, 256, 1284, 723, 8039, 540, 519, 1655, 4025, 547, 1294, 538, 17289, 563, 264, 774, 532, 630, 763, 774, 532, 689, 6271, 2622, 264, 1325, 1329, 630, 295, 528, 2928, 18124, 1040, 10606, 476, 1556, 269, 2558, 22781, 261, 4375, 282, 338, 5053, 19676, 269, 4270, 267, 594, 1558, 513, 812, 856, 538, 21035, 1656, 594, 513, 514, 1405, 562, 3133, 262, 4408, 1809, 646, 2731, 5249, 803, 936, 1434, 3807, 899, 20908, 572, 6276, 8786, 267, 646, 2731, 5249, 803, 936, 1434, 1261, 729, 513, 5491, 547, 1010, 4008, 1261, 2322, 803, 998, 269, 2506, 27679, 22836, 543, 8900, 3646, 1312, 1611, 4057, 269, 1548, 5949, 547, 519, 1360, 269, 634, 5767, 17408, 1115, 689, 774, 532, 774, 532, 267, 513, 1863, 2228, 11059, 3014, 4547, 547, 596, 676, 14022, 528, 10632, 269, 20010, 1106, 540, 562, 392, 482, 267, 28008, 540, 562, 16230, 333, 12462, 2254, 892, 1916, 1805, 762, 543, 3532, 1863, 4757, 267, 6580, 267, 8666, 267, 1895, 2264, 22045, 609, 811, 982, 476, 1428, 1032, 1995, 543, 6634, 540, 11967, 3755, 269, 6732, 5053, 5678, 20043, 269, 590, 261, 303, 849, 3928, 519, 5491, 10290, 1465, 540, 1367, 7554, 269, 6423, 1093, 261, 4375, 282, 24742, 563, 16032, 5053, 31777, 1218, 538, 4975, 540, 5507, 281, 6423, 476, 273, 267, 275, 866, 25676, 611, 6665, 528, 2951, 518, 8039, 540, 5053, 31777, 1218, 538, 4975, 540, 5507, 269, 2986, 1346, 267, 476, 1321, 269, 8073, 606, 2272, 610, 2845, 538, 547, 17749, 910, 589, 2241, 267, 1187, 1299, 3860, 1259, 547, 7001, 267, 12575, 1299, 2671, 6337, 267, 7044, 1299, 6835, 609, 2828, 1299, 1920, 269, 12071, 550, 308, 6770, 5053, 1565, 547, 1272, 998, 5053, 21599, 609, 1483, 8996, 7044, 269, 6970, 639, 1275, 1765, 10517, 637, 757, 606, 1931, 8066, 1851, 1919, 2987, 2389, 1335, 2383, 630, 23389, 667, 16636, 12845, 1606, 747, 264, 3112, 581, 1634, 563, 272, 476, 272, 21992, 618, 476, 273, 5589, 760, 1801, 540, 513, 623, 476, 274, 4033, 9344, 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 ]
[ 513, 1268, 779, 2527, 269, 634, 3059, 4336, 21410, 513, 1268, 779, 2527, 1759, 593, 741, 1560, 2597, 543, 8904, 780, 288, 11304, 568, 519, 1482, 2597, 593, 3047, 607, 476, 2412, 13532, 593, 18347, 269, 634, 4139, 6611, 13749, 3096, 519, 1482, 3044, 2527, 585, 922, 20691, 269, 5221, 8904, 27605, 593, 3615, 8335, 267, 519, 2597, 786, 4268, 267, 855, 519, 1482, 1560, 2527, 786, 9260, 519, 1482, 593, 1312, 10785, 269, 1280, 1383, 267, 513, 476, 2412, 11304, 2527, 593, 3047, 1131, 9260, 476, 6434, 6550, 269, 1717, 267, 713, 3884, 1406, 4977, 8259, 519, 2597, 568, 8308, 6027, 269, 769, 2489, 267, 596, 12582, 1406, 2503, 547, 1205, 606, 4977, 6482, 952, 596, 2461, 711, 5432, 609, 519, 1523, 780, 22709, 6482, 568, 606, 1271, 1523, 538, 519, 1353, 540, 8904, 269, 9453, 519, 1620, 540, 875, 8904, 5540, 2527, 267, 3744, 666, 1406, 2731, 2491, 8904, 779, 2360, 593, 2527, 269, 634, 9208, 7844, 540, 9325, 6323, 2488, 513, 5812, 5943, 585, 1620, 8904, 543, 922, 2078, 609, 2527, 269, 634, 20793, 4456, 13270, 267, 585, 1383, 267, 568, 606, 538, 11399, 4226, 2527, 6482, 6293, 585, 20691, 20829, 519, 4139, 6611, 13749, 269, 634, 20793, 4456, 13270, 3800, 519, 2527, 540, 3425, 20829, 519, 4139, 6611, 13749, 780, 288, 11304, 779, 6482, 8856, 543, 6111, 5673, 593, 1896, 2188, 267, 711, 519, 2547, 540, 799, 568, 922, 4087, 269, 898, 9775, 538, 2527, 693, 1585, 31556, 543, 4234, 6421, 267, 799, 568, 1946, 10253, 723, 547, 581, 26215, 730, 547, 22771, 585, 891, 7648, 269, 589, 11304, 568, 849, 4397, 547, 2285, 519, 1482, 13220, 593, 1164, 1790, 13440, 1707, 20604, 3457, 1472, 519, 1158, 269, 1717, 267, 519, 11304, 1281, 723, 930, 7687, 269, 1280, 1383, 267, 519, 10545, 2527, 666, 581, 6027, 513, 1906, 31501, 2476, 689, 922, 3490, 2527, 780, 5194, 1383, 540, 2527, 6482, 568, 519, 3742, 14965, 2527, 540, 606, 1843, 269, 15765, 14965, 2527, 568, 519, 4222, 540, 519, 14965, 2361, 6383, 676, 606, 1843, 269, 10426, 633, 14965, 2527, 568, 519, 2179, 540, 14965, 3196, 25116, 593, 606, 1843, 538, 606, 4540, 14965, 2361, 269, 634, 654, 536, 657, 517, 779, 2527, 568, 827, 476, 3199, 2053, 519, 2527, 540, 513, 23442, 269, 634, 595, 5263, 5698, 779, 960, 547, 2333, 922, 8856, 814, 1044, 5571, 585, 476, 736, 1296, 269, 634, 1007, 2527, 1871, 2982, 8082, 1063, 519, 9208, 7844, 543, 824, 6436, 267, 11021, 602, 9283, 543, 24909, 616, 2556, 547, 2491, 875, 519, 654, 536, 657, 517, 25998, 609, 519, 7122, 780, 16829, 538, 5240, 269, 0, 258, 8212, 12143, 7726, 543, 8827, 692, 10112, 9892, 692, 11693, 4578, 1384, 7246, 297, 779, 4463, 607, 513, 1599, 540, 942, 568, 1384, 327, 6025, 264, 815, 910, 1626, 339, 273, 1341, 2311, 1341, 645, 692, 2080, 1384, 288, 815, 476, 1724, 1341, 2040, 540, 4332, 11845, 2395, 692, 4517, 1384, 289, 815, 476, 1839, 1341, 1587, 540, 476, 273, 4332, 11845, 3275, 692, 3086, 267, 17510, 30098, 616, 1384, 6187, 270, 1428, 267, 5400, 270, 1626, 692, 11997, 2418, 540, 589, 543, 645, 786, 581, 1384, 288, 815, 476, 1724, 1341, 476, 1428, 1341, 476, 1626, 815, 476, 4510, 692, 4517, 1384, 289, 815, 476, 1839, 1341, 476, 277, 343, 279, 815, 476, 10463, 692, 3086, 267, 519, 2016, 1599, 540, 4463, 540, 10790, 297, 3587, 1384, 327, 6025, 264, 815, 910, 1626, 339, 273, 1341, 476, 4510, 339, 1341, 476, 10463, 692, 26524, 1384, 272, 269, 1215, 1164, 1657, 519, 2666, 568, 519, 13486, 2496, 3721, 1775, 1384, 17843, 5573, 670, 630, 339, 264, 609, 2463, 547, 942, 547, 1205, 3432, 538, 7299, 4287, 780, 323, 327, 7933, 339, 815, 642, 692, 341, 815, 546, 7933, 339, 11196, 1626, 339, 273, 266, 4510, 339, 266, 10463, 2020, 341, 815, 910, 3953, 339, 1341, 476, 4510, 692, 1607, 3830, 568, 4758, 721, 519, 6991, 540, 10790, 297, 1282, 922, 8184, 693, 1022, 942, 512, 780, 3721, 13797, 1384, 4263, 519, 1283, 540, 18330, 267, 6991, 568, 4642, 780, 13295, 1384, 341, 815, 476, 271, 693, 1283, 692, 341, 815, 910, 3953, 339, 1341, 476, 4510, 1341, 476, 271, 692, 3953, 339, 815, 476, 4510, 692, 339, 815, 476, 4510, 270, 3953, 692, 339, 815, 476, 272, 269, 23841, 338, 692, 1607, 568, 519, 942, 585, 3193, 4463, 780, 3721, 25831, 1384, 21607, 942, 585, 3193, 269, 27551, 538, 670, 630, 339, 17107, 327, 815, 910, 1626, 263, 272, 269, 23841, 264, 273, 1341, 476, 4510, 263, 272, 269, 23841, 264, 1341, 476, 10463, 692, 327, 815, 910, 1789, 269, 1839, 1341, 476, 2568, 269, 276, 1341, 476, 10463, 692, 327, 815, 476, 9818, 269, 1839, 332, 692, 1607, 568, 519, 5021, 4463, 585, 519, 10790, 297, 779, 18330, 780, 13295, 267, 621, 779, 4463, 540, 519, 13486, 780, 273, 269, 1879, 1281, 10790, 297, 5734, 519, 2666, 2496, 2690, 10790, 297, 693, 2666, 1377, 1384, 327, 6025, 264, 1341, 476, 271, 692, 10303, 267, 693, 2666, 1377, 519, 7299, 12761, 568, 4642, 780, 13295, 1384, 268, 1626, 339, 273, 1341, 476, 4510, 339, 1341, 476, 10463, 1341, 476, 271, 692, 10521, 2418, 540, 942, 786, 581, 1384, 339, 815, 910, 272, 269, 1704, 338, 267, 274, 269, 10844, 338, 692, 2080, 267, 942, 666, 1406, 581, 2942, 780, 13295, 10484, 339, 815, 910, 272, 269, 1704, 338, 630, 2254, 2009, 2020, 11997, 267, 519, 942, 950, 10790, 297, 5734, 519, 2666, 786, 581, 1384, 339, 815, 476, 274, 269, 10844, 338, 692, 1012, 25737, 901, 960, 780, 10112, 9892, 26194, 334, 630, 1708, 273, 264, 1547, 4825, 337, 633, 689, 4179, 2517, 817, 9892, 327, 2089, 334, 2593, 4882, 2217, 12431, 9892, 270, 874, 12695, 12431, 9892, 6709, 3878, 7146, 1606, 1828, 692, 257, 1701, 12143, 26194, 334, 2073, 1708, 273, 267, 4179, 2517, 817, 9892, 327, 2089, 334, 2593, 4882, 2217, 12431, 9892, 270, 874, 12695, 12431, 9892, 6709, 3878, 7146, 1606, 1828, 692, 10112, 9892, 26194, 334, 630, 1708, 273, 264, 1547, 12232, 689, 281, 4179, 2517, 817, 9892, 327, 2089, 334, 2593, 4882, 2217, 12431, 9892, 270, 874, 12695, 12431, 9892, 6709, 3878, 7146, 1606, 1828, 692, 314, 16966, 539, 476, 1724, 270, 5400, 270, 1708, 273, 316, 780, 10112, 9892, 26194, 334, 1547, 15234, 263, 10112, 9892, 26194, 334, 267, 1708, 273, 264, 1109, 10059, 2517, 817, 9892, 327, 2089, 334, 2593, 4882, 2217, 12431, 9892, 270, 874, 12695, 12431, 9892, 6709, 3878, 7146, 1606, 1828, 15600, 476, 1724, 270, 5400, 270, 1708, 273, 780, 23763, 547, 1931, 4195, 5299, 540, 519, 12726, 22276, 12226, 286, 2228, 610, 798, 596, 991, 519, 2025, 3435, 585, 12726, 22276, 267, 3346, 938, 6075, 1489, 610, 2911, 547, 721, 547, 1205, 519, 4267, 540, 621, 780, 2971, 12143, 295, 2089, 334, 17972, 692, 7462, 2201, 5384, 24822, 692, 5978, 2138, 1729, 568, 5838, 7084, 593, 5384, 269, 3776, 16869, 5830, 5838, 2298, 10467, 547, 519, 1053, 780, 7462, 1773, 698, 14705, 5131, 4518, 692, 7476, 6325, 543, 2189, 10467, 676, 1210, 938, 476, 1911, 260, 17096, 6954, 780, 7462, 476, 2190, 2473, 476, 278, 14970, 6435, 692, 7476, 4448, 476, 2190, 265, 278, 609, 938, 14970, 13378, 1489, 26933, 547, 4309, 8216, 3435, 585, 707, 7084, 780, 7462, 7896, 1280, 2353, 23527, 692, 7476, 6435, 609, 782, 519, 5396, 899, 281, 14691, 267, 19098, 267, 16010, 267, 7177, 267, 4521, 543, 16373, 780, 7462, 7454, 12313, 2871, 5875, 2465, 692, 7476, 14167, 3028, 693, 513, 17927, 7888, 2557, 693, 12143, 295, 2089, 334, 692, 2971, 17676, 19419, 5495, 13612, 2464, 692, 1892, 12143, 5675, 6651, 454, 1892, 4828, 5675, 6651, 454, 1892, 19837, 10488, 5675, 6651, 454, 1892, 3194, 7433, 5675, 6651, 692, 2971, 17676, 590, 21283, 4041, 674, 11223, 692, 1892, 32439, 454, 1892, 8950, 3163, 454, 1892, 13188, 454, 1892, 7177, 692, 2971, 1849, 1304, 5623, 692, 296, 729, 10010, 865, 2182, 547, 2347, 1250, 6725, 7084, 593, 6216, 1646, 950, 594, 4956, 547, 6368, 3914, 547, 519, 4966, 540, 713, 22045, 269, 1358, 6157, 5838, 3501, 11007, 543, 519, 5551, 3898, 269, 634, 1543, 5423, 676, 519, 4966, 540, 713, 3760, 729, 3274, 5863, 269, 594, 9090, 28297, 1250, 9344, 547, 873, 269, 0, 258, 28859, 351, 502, 25203, 362, 692, 1892, 476, 14756, 503, 25051, 497, 31176, 491, 14756, 497, 31563, 418, 371, 375, 20693, 510, 22047, 12255, 12916, 491, 27818, 328, 1341, 476, 272, 24724, 7511, 29873, 10951, 361, 20992, 1109, 322, 739, 5157, 316, 1109, 27818, 322, 739, 1109, 12255, 14756, 482, 31284, 21550, 485, 10524, 492, 476, 271, 13127, 376, 478, 417, 356, 489, 24724, 25707, 1892, 17276, 478, 375, 29873, 10951, 361, 417, 379, 483, 421, 350, 375, 418, 479, 364, 417, 354, 377, 419, 511, 487, 30678, 1109, 339, 13759, 1109, 25707, 1892, 17276, 371, 375, 20693, 510, 7511, 12255, 12916, 491, 18809, 418, 366, 350, 20069, 12255, 21211, 476, 271, 476, 12486, 692, 27447, 24662, 16088, 322, 739, 815, 1496, 275, 267, 274, 267, 273, 267, 276, 267, 277, 267, 278, 267, 273, 267, 276, 267, 276, 3910, 3077, 815, 476, 280, 692, 12255, 21211, 672, 476, 29873, 10951, 361, 454, 272, 476, 9847, 567, 476, 275, 454, 273, 476, 9847, 567, 476, 274, 454, 274, 476, 9847, 567, 476, 273, 454, 275, 476, 9847, 567, 476, 276, 454, 276, 476, 9847, 567, 476, 277, 454, 277, 476, 9847, 567, 476, 278, 454, 278, 476, 9847, 567, 476, 273, 454, 279, 476, 9847, 567, 476, 276, 454, 280, 476, 9847, 567, 476, 276, 7531, 27447, 24662, 16088, 322, 739, 815, 1496, 278, 267, 277, 267, 276, 267, 276, 267, 276, 267, 277, 267, 279, 267, 278, 267, 279, 3910, 3077, 815, 476, 1321, 19638, 27447, 24662, 16088, 322, 739, 815, 1496, 273, 267, 275, 267, 277, 267, 273, 267, 275, 267, 277, 267, 275, 267, 275, 267, 275, 3910, 3077, 815, 476, 276, 19638, 27447, 24662, 16088, 322, 739, 815, 1496, 277, 267, 1015, 267, 1428, 267, 2412, 267, 2412, 267, 2412, 267, 2412, 267, 2412, 267, 2412, 3910, 3077, 815, 476, 5325, 19638, 1892, 1942, 32324, 2652, 476, 280, 454, 1892, 476, 272, 10922, 1942, 5157, 316, 10922, 476, 4335, 271, 454, 1892, 476, 272, 10922, 3077, 10922, 476, 4335, 271, 692, 258, 28859, 351, 502, 25203, 362, 692, 27447, 24662, 16088, 333, 815, 476, 1321, 27447, 24731, 16088, 274, 476, 25335, 352, 19404, 488, 16088, 1321, 815, 476, 275, 1341, 476, 275, 1341, 476, 275, 692, 27447, 24662, 16088, 333, 815, 476, 1724, 27447, 24731, 16088, 273, 25335, 352, 19404, 488, 16088, 1724, 815, 476, 275, 1341, 476, 280, 692, 1892, 476, 272, 10922, 562, 10922, 476, 10441, 692, 258, 17276, 478, 507, 420, 371, 363, 26166, 22909, 494, 692, 31389, 5157, 316, 7511, 418, 482, 493, 18263, 487, 1775, 31006, 16533, 495, 23746, 23284, 13200, 365, 31389, 5157, 316, 14748, 14395, 490, 10429, 357, 23946, 367, 25913, 12255, 14756, 482, 29873, 692, 258, 595, 10030, 28786, 419, 510, 479, 692, 5035, 8827, 2715, 21504, 281, 825, 703, 1003, 306, 638, 4100, 17301, 562, 264, 2715, 1038, 1654, 692, 258, 28859, 351, 502, 25203, 362, 692, 27447, 24662, 281, 2179, 815, 476, 276, 267, 11113, 815, 1496, 272, 267, 476, 273, 267, 476, 276, 6540, 276, 284, 276, 454, 276, 284, 273, 266, 273, 266, 272, 454, 276, 284, 273, 266, 272, 266, 272, 266, 272, 454, 276, 284, 272, 266, 272, 266, 272, 266, 272, 266, 272, 7531, 27447, 24662, 281, 2179, 815, 476, 274, 267, 11113, 815, 1496, 273, 6540, 692, 27447, 24662, 281, 2179, 815, 476, 1015, 267, 11113, 815, 1496, 1015, 6540, 692, 1892, 476, 271, 10922, 2179, 630, 26233, 375, 19404, 495, 30903, 507, 264, 10922, 476, 4335, 271, 454, 1892, 476, 272, 10922, 11777, 630, 419, 350, 361, 27747, 479, 30837, 351, 30903, 507, 264, 1109, 27045, 476, 4335, 271, 454, 1892, 22614, 350, 361, 27747, 479, 26175, 491, 32352, 21251, 420, 370, 483, 13213, 485, 476, 4335, 22614, 356, 491, 454, 1892, 476, 14756, 497, 31563, 31033, 12571, 486, 476, 3953, 476, 12916, 491, 31033, 9463, 371, 10533, 368, 12255, 692, 258, 17276, 478, 507, 420, 371, 363, 26166, 22909, 494, 692, 31389, 5157, 316, 420, 485, 359, 419, 482, 370, 23989, 419, 353, 374, 7511, 16533, 365, 15159, 26233, 375, 19404, 495, 30903, 507, 20992, 328, 30317, 28793, 7511, 25913, 418, 350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3112, 581, 15763, 610, 25848, 3293, 563, 322, 269, 3629, 29433, 2866, 543, 3872, 2200, 547, 2327, 602, 10986, 1174, 519, 2495, 543, 6286, 540, 1142, 3182, 6945, 563, 323, 269, 17115, 2689, 543, 9337, 3182, 6945, 6165, 547, 2272, 585, 2242, 538, 6042, 267, 2472, 267, 610, 3157, 780, 1262, 276, 269, 7351, 3466, 543, 2104, 7835, 538, 9651, 2792, 16001, 2026, 2029, 5170, 547, 11457, 267, 1007, 3255, 8451, 585, 7393, 9651, 2792, 538, 14453, 7998, 269, 2368, 6932, 3466, 1331, 1384, 320, 269, 2878, 19445, 11625, 9999, 5093, 25790, 538, 3059, 10525, 543, 5985, 4066, 2709, 7399, 585, 6422, 267, 7317, 9651, 10618, 602, 979, 3564, 11979, 3182, 9999, 269, 1280, 1383, 267, 21284, 4641, 630, 2752, 264, 3156, 1223, 1683, 3755, 609, 15138, 2833, 602, 6542, 1697, 7829, 5773, 610, 6595, 3210, 2994, 780, 321, 269, 2878, 18204, 3603, 4578, 7010, 5093, 634, 4417, 540, 5769, 540, 12085, 630, 31166, 264, 3457, 543, 6531, 7384, 814, 21490, 519, 1259, 585, 7471, 1239, 1949, 602, 20928, 9651, 2792, 2066, 2789, 5867, 543, 8639, 269, 7464, 6066, 5464, 543, 10332, 1949, 666, 948, 2061, 10913, 543, 7520, 4028, 6114, 547, 18002, 780, 322, 269, 2878, 300, 22389, 4804, 543, 3642, 5093, 10724, 1565, 6620, 543, 5841, 4987, 2645, 3180, 9153, 585, 5355, 1981, 4879, 543, 16762, 9781, 538, 14453, 7998, 269, 1635, 7421, 5318, 9424, 540, 1239, 267, 891, 4359, 25107, 2553, 666, 1217, 519, 1374, 540, 811, 6098, 543, 2500, 3182, 9999, 543, 9651, 2792, 2994, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9558, 1636, 32126, 11625, 9999, 3070, 2882, 1804, 3099, 540, 16887, 2919, 5439, 609, 3560, 9651, 6698, 543, 3182, 9999, 267, 543, 519, 2898, 1305, 540, 2392, 525, 11220, 6152, 3560, 717, 9391, 3182, 9999, 4647, 543, 1031, 609, 8897, 689, 519, 13255, 32126, 11625, 9999, 5399, 269, 15233, 873, 585, 2656, 8888, 3318, 23302, 1102, 16623, 543, 12222, 267, 946, 873, 547, 1711, 9963, 1129, 15236, 543, 14773, 906, 593, 782, 5933, 540, 519, 6283, 1184, 267, 547, 1747, 873, 593, 519, 3560, 6472, 543, 16292, 17346, 540, 6283, 3549, 267, 693, 519, 3560, 12319, 543, 593, 519, 7270, 540, 3560, 543, 17825, 3549, 563, 17746, 2315, 267, 7816, 543, 28889, 9934, 540, 519, 1753, 267, 6366, 267, 5604, 267, 610, 1022, 824, 2679, 610, 23350, 5956, 609, 519, 1646, 540, 2143, 2679, 1544, 543, 6989, 4566, 269, 22043, 543, 2656, 14839, 540, 519, 2679, 2093, 568, 1271, 585, 2417, 4070, 540, 1022, 2679, 563, 8269, 21124, 9919, 4979, 12697, 3070, 11498, 7494, 519, 10417, 19352, 667, 8656, 16165, 4456, 10342, 609, 7663, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 1301, 11914, 11061, 257, 607, 851, 540, 834, 25503, 1315, 14997, 2329, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 12896, 4149, 577, 28704, 26667, 1436, 692, 763, 2796, 1934, 568, 602, 649, 723, 930, 5551, 6152, 1269, 341, 317, 265, 259, 602, 649, 1616, 547, 1628, 856, 540, 513, 1305, 540, 4493, 10321, 1269, 341, 10983, 259, 998, 22051, 14805, 566, 269, 634, 2013, 1141, 713, 568, 15864, 568, 950, 782, 540, 938, 10321, 1269, 341, 10983, 259, 616, 26667, 609, 2463, 547, 1142, 824, 269, 5589, 16226, 602, 513, 12297, 1587, 540, 1079, 10321, 3947, 721, 513, 2268, 540, 741, 16726, 267, 1079, 10321, 616, 26667, 952, 741, 12297, 1587, 568, 476, 271, 269, 589, 2596, 1383, 540, 713, 568, 519, 1305, 1269, 314, 272, 267, 271, 25662, 271, 267, 272, 316, 8961, 610, 519, 10047, 540, 891, 10321, 476, 3393, 5232, 267, 1269, 314, 269, 3583, 278, 272, 267, 1547, 3583, 278, 272, 3910, 15631, 269, 3583, 278, 272, 267, 1547, 3583, 278, 272, 316, 16859, 2252, 649, 723, 606, 26667, 4493, 1305, 540, 10321, 267, 1287, 547, 5352, 519, 12035, 585, 1142, 540, 519, 4493, 10321, 649, 3274, 1491, 519, 12297, 1587, 1063, 1142, 1269, 341, 10983, 259, 543, 938, 5551, 6152, 1269, 341, 317, 265, 10608, 1280, 1383, 267, 609, 938, 4493, 5036, 689, 1657, 267, 519, 12035, 547, 5352, 519, 6152, 1269, 314, 269, 3393, 910, 269, 279, 316, 259, 666, 581, 1336, 607, 692, 259, 342, 318, 272, 815, 1422, 30848, 1496, 269, 3393, 267, 910, 269, 279, 316, 2073, 1496, 272, 267, 476, 271, 316, 1422, 26917, 815, 1547, 3393, 8607, 530, 318, 273, 815, 1496, 269, 3393, 267, 910, 269, 279, 316, 1422, 10383, 1496, 271, 267, 476, 272, 316, 815, 910, 269, 279, 267, 6911, 3602, 4399, 30848, 1422, 26917, 259, 18575, 12297, 630, 528, 6418, 264, 1587, 267, 543, 5012, 547, 692, 259, 342, 318, 272, 815, 1422, 30848, 1496, 269, 3393, 267, 910, 269, 279, 316, 2073, 1496, 269, 3583, 278, 272, 267, 1547, 3583, 278, 272, 316, 1422, 26917, 815, 910, 271, 269, 26316, 276, 8607, 530, 318, 273, 815, 1422, 30848, 1496, 269, 3393, 267, 910, 269, 279, 316, 2073, 30585, 269, 3583, 278, 272, 267, 1547, 3583, 278, 272, 316, 1422, 26917, 815, 910, 271, 269, 6434, 274, 280, 269, 6911, 4517, 1631, 649, 723, 12035, 1269, 342, 10983, 259, 971, 602, 585, 1142, 4493, 1305, 4399, 8999, 10983, 530, 10983, 642, 10983, 815, 642, 317, 265, 10608, 18838, 3622, 267, 547, 1265, 519, 12035, 649, 723, 1269, 342, 10983, 815, 1422, 2765, 28452, 10983, 1422, 10383, 642, 317, 265, 2410, 1475, 341, 10983, 1475, 23201, 634, 14009, 1934, 568, 519, 2343, 540, 1269, 341, 10983, 8961, 5189, 585, 1252, 1275, 269, 769, 519, 1383, 1305, 938, 4493, 5036, 941, 7768, 540, 1770, 10321, 630, 27523, 609, 9588, 815, 476, 272, 1070, 855, 538, 2489, 3339, 1436, 568, 2838, 780, 3086, 267, 1018, 952, 649, 1810, 1406, 723, 606, 26667, 4493, 1305, 286, 24410, 1076, 267, 602, 779, 1018, 269, 2060, 513, 1875, 268, 2180, 23585, 4493, 1305, 267, 971, 607, 1269, 314, 272, 267, 1547, 275, 3910, 30585, 269, 272, 267, 476, 272, 316, 8961, 950, 649, 2119, 938, 12297, 1587, 1870, 547, 1265, 938, 14170, 5654, 1018, 4523, 692, 259, 342, 318, 272, 815, 1422, 2765, 3189, 30848, 1496, 269, 3393, 267, 910, 269, 279, 316, 2073, 1496, 272, 267, 1547, 275, 316, 1422, 26917, 2410, 1475, 314, 272, 11783, 275, 316, 1475, 348, 815, 1547, 3607, 279, 273, 8607, 530, 318, 273, 815, 1422, 2765, 3189, 30848, 1496, 269, 3393, 267, 910, 269, 279, 316, 2073, 30585, 269, 272, 267, 476, 272, 316, 1422, 26917, 2410, 1475, 15631, 269, 272, 267, 476, 272, 316, 1475, 348, 815, 910, 269, 279, 2412, 279, 267, 6911, 663, 692, 10608, 6344, 278, 1422, 10383, 1496, 272, 11783, 275, 316, 1341, 910, 269, 279, 2412, 279, 1422, 10383, 30585, 269, 272, 267, 476, 272, 316, 815, 1496, 271, 269, 14225, 279, 267, 910, 271, 269, 8064, 273, 276, 316, 8961, 692, 6518, 568, 711, 513, 1434, 16646, 540, 938, 5551, 6152, 267, 1269, 314, 269, 3393, 267, 910, 269, 279, 316, 10608, 1656, 519, 811, 519, 3444, 9295, 547, 519, 1482, 7516, 1063, 1114, 4493, 10321, 267, 519, 8338, 713, 3587, 269, 2986, 1576, 267, 649, 1223, 946, 513, 2547, 10945, 1505, 547, 1265, 938, 4493, 1305, 14170, 267, 855, 602, 3322, 5119, 3818, 4124, 543, 538, 951, 525, 267, 543, 3622, 3587, 811, 1950, 982, 649, 1616, 780, 3383, 267, 1577, 779, 2161, 649, 723, 513, 4493, 1305, 540, 1079, 1114, 267, 855, 1875, 268, 2180, 23585, 10321, 267, 1269, 341, 318, 272, 259, 543, 1269, 341, 318, 273, 10608, 1284, 3079, 1616, 1079, 10321, 1269, 340, 318, 272, 259, 543, 1269, 340, 318, 273, 259, 799, 4766, 519, 1482, 2230, 267, 855, 616, 26667, 269, 1635, 10503, 519, 1482, 2230, 267, 594, 1611, 602, 741, 12732, 568, 519, 1482, 269, 1656, 676, 12732, 594, 1611, 519, 1305, 540, 2418, 602, 666, 581, 6383, 998, 22051, 14805, 566, 540, 519, 1079, 10321, 269, 1924, 649, 1305, 1269, 340, 318, 272, 815, 642, 318, 272, 8961, 543, 519, 4305, 568, 1631, 547, 1265, 519, 3617, 1269, 340, 318, 273, 10608, 1306, 513, 12497, 6609, 267, 649, 1616, 1269, 340, 318, 273, 259, 547, 581, 3160, 547, 1269, 341, 318, 273, 8961, 855, 1152, 8720, 519, 1858, 540, 2230, 602, 1269, 340, 318, 272, 259, 3884, 1406, 8720, 2907, 269, 1677, 798, 713, 267, 649, 666, 5173, 693, 519, 16937, 1063, 1269, 340, 318, 272, 259, 543, 1269, 341, 318, 273, 8961, 1287, 10208, 856, 602, 1858, 689, 1269, 341, 318, 273, 10608, 634, 1267, 1058, 1287, 2285, 721, 519, 1482, 1858, 540, 1533, 2230, 4988, 676, 1269, 341, 318, 272, 259, 543, 1269, 341, 318, 273, 8961, 855, 538, 513, 1305, 540, 26667, 10321, 1269, 340, 318, 272, 259, 543, 1269, 340, 318, 273, 16859, 12385, 3012, 1227, 267, 649, 5173, 519, 16937, 1063, 1269, 340, 318, 272, 259, 543, 1269, 341, 318, 273, 259, 609, 513, 12297, 1587, 267, 4399, 30848, 579, 318, 272, 267, 642, 318, 273, 1422, 26917, 8961, 28348, 676, 519, 9588, 540, 1269, 340, 318, 272, 8961, 1269, 1475, 340, 318, 272, 1475, 8961, 543, 1287, 10208, 689, 1269, 341, 318, 273, 10608, 2353, 1927, 649, 723, 692, 259, 340, 318, 273, 815, 642, 318, 273, 910, 1422, 2765, 3189, 30848, 579, 318, 272, 267, 642, 318, 273, 1422, 26917, 2410, 1475, 340, 318, 272, 1475, 31859, 8794, 938, 1875, 268, 2180, 23585, 1383, 1657, 10484, 259, 340, 318, 272, 815, 1496, 272, 267, 1547, 275, 316, 6911, 259, 340, 318, 273, 815, 30585, 269, 272, 267, 476, 272, 316, 910, 1422, 2765, 3189, 30848, 30585, 269, 272, 267, 476, 272, 316, 2073, 1496, 272, 267, 1547, 275, 316, 1422, 26917, 2410, 1475, 15631, 269, 272, 267, 476, 272, 316, 1475, 348, 815, 30585, 271, 269, 274, 4281, 276, 267, 476, 271, 269, 278, 2641, 276, 4940, 6911, 18814, 547, 5180, 4752, 1282, 519, 9819, 540, 1269, 340, 318, 273, 8961, 519, 12297, 1587, 1063, 1269, 340, 318, 272, 259, 543, 1269, 340, 318, 273, 259, 3884, 1406, 4010, 4642, 267, 855, 621, 779, 2673, 2614, 585, 938, 5301, 780, 10498, 267, 1390, 269, 1809, 1018, 827, 952, 649, 723, 476, 274, 10321, 538, 938, 4493, 1305, 543, 1616, 476, 274, 26667, 10321, 630, 817, 11167, 649, 4076, 6410, 547, 513, 476, 274, 8820, 2230, 264, 602, 12732, 519, 1482, 2230, 286, 769, 713, 2013, 267, 875, 798, 649, 5173, 1269, 340, 318, 274, 259, 286, 4270, 267, 8876, 593, 609, 938, 16022, 6609, 267, 596, 1522, 8263, 602, 519, 9819, 1131, 581, 519, 1482, 607, 585, 1269, 340, 318, 273, 8961, 855, 1631, 596, 1590, 10208, 856, 689, 1269, 341, 318, 274, 259, 602, 568, 4988, 676, 1269, 340, 318, 272, 259, 543, 1269, 340, 318, 273, 10608, 1656, 596, 1131, 581, 2953, 1384, 259, 340, 318, 274, 815, 642, 318, 274, 910, 1422, 2765, 3189, 30848, 579, 318, 272, 267, 642, 318, 274, 1422, 26917, 2410, 1475, 340, 318, 272, 1475, 348, 910, 1422, 2765, 3189, 30848, 579, 318, 273, 267, 642, 318, 274, 1422, 26917, 2410, 1475, 340, 318, 273, 1475, 31859, 1103, 2489, 267, 649, 723, 692, 259, 340, 10983, 815, 642, 10983, 910, 1422, 8999, 19553, 1422, 2765, 3189, 30848, 579, 19553, 267, 642, 10983, 1422, 26917, 2410, 1475, 340, 19553, 1475, 31859, 4517, 1631, 649, 917, 875, 547, 1491, 513, 2016, 1305, 540, 4493, 10321, 543, 5352, 513, 1305, 540, 26667, 10321, 602, 12732, 519, 1482, 2230, 267, 799, 649, 666, 1287, 946, 547, 3362, 5173, 519, 12035, 936, 938, 1007, 4493, 1305, 540, 1269, 340, 10983, 259, 10321, 547, 5352, 519, 5551, 6152, 267, 1269, 341, 317, 265, 16859, 1012, 2290, 2219, 593, 968, 294, 1090, 4149, 577, 28704, 26667, 1436, 10640, 272, 269, 31218, 798, 713, 267, 649, 3580, 946, 12896, 4149, 577, 28704, 26667, 1436, 267, 799, 594, 4766, 538, 513, 2487, 2022, 269, 1677, 2965, 1246, 713, 26667, 1436, 1184, 649, 3580, 991, 547, 5581, 606, 6418, 1587, 543, 31218, 0, 258, 1230, 6984, 11354, 476, 1001, 274, 692, 763, 1283, 476, 276, 5171, 540, 519, 19496, 616, 1384, 1892, 476, 272, 560, 281, 14091, 507, 376, 424, 353, 478, 425, 502, 482, 630, 5400, 17432, 503, 423, 366, 486, 2567, 476, 4343, 2798, 454, 1892, 476, 273, 526, 281, 10563, 482, 506, 422, 372, 364, 424, 505, 494, 630, 6021, 17432, 503, 423, 366, 486, 2567, 476, 3066, 2798, 454, 1892, 570, 268, 274, 6113, 281, 21844, 373, 478, 425, 502, 372, 424, 356, 482, 630, 6021, 17432, 503, 423, 366, 486, 2567, 476, 1839, 2798, 454, 1892, 570, 268, 274, 6113, 281, 29030, 503, 358, 424, 482, 365, 425, 502, 372, 630, 1724, 17432, 503, 423, 366, 486, 2567, 476, 1839, 2798, 454, 1892, 476, 276, 628, 281, 21844, 373, 478, 423, 366, 498, 424, 486, 502, 630, 1015, 17432, 503, 423, 366, 486, 2567, 476, 866, 2798, 692, 29587, 344, 7249, 17894, 547, 519, 16101, 23602, 256, 634, 16101, 16008, 786, 581, 4371, 593, 9947, 269, 476, 866, 630, 26607, 4700, 693, 476, 273, 15014, 780, 2171, 9684, 782, 540, 519, 5171, 585, 519, 8799, 3435, 543, 707, 703, 31013, 564, 596, 4951, 585, 31266, 269, 1284, 4126, 547, 1294, 596, 1985, 19496, 609, 1256, 1732, 2042, 780, 31270, 10060, 28951, 692, 258, 8827, 281, 476, 1001, 274, 268, 1321, 4982, 10561, 6906, 538, 681, 18898, 692, 4131, 3230, 288, 815, 1422, 346, 630, 320, 318, 272, 267, 513, 318, 273, 267, 1422, 26984, 267, 513, 5332, 2433, 513, 10983, 815, 1422, 10975, 476, 272, 22773, 630, 328, 815, 476, 272, 267, 476, 273, 267, 1422, 26984, 267, 562, 264, 1422, 348, 1422, 11357, 3553, 1422, 13992, 23334, 11892, 333, 21974, 28171, 602, 267, 585, 1022, 3230, 311, 1422, 11357, 3553, 589, 2330, 609, 3230, 347, 311, 347, 3436, 476, 273, 3867, 333, 266, 272, 348, 270, 333, 18079, 972, 2291, 1614, 3982, 2798, 538, 3230, 311, 2330, 602, 616, 519, 14622, 540, 606, 31164, 6906, 780, 763, 1655, 3070, 729, 11643, 676, 10563, 482, 506, 422, 372, 364, 424, 505, 494, 267, 476, 6021, 17432, 503, 423, 366, 486, 269, 5556, 17894, 2439, 13436, 3435, 941, 11643, 676, 14091, 507, 376, 424, 353, 478, 425, 502, 482, 263, 5400, 17432, 503, 423, 366, 486, 267, 1341, 274, 1070, 21844, 373, 478, 425, 502, 372, 424, 356, 482, 263, 6021, 17432, 503, 423, 366, 486, 267, 1341, 274, 1070, 29030, 503, 358, 424, 482, 365, 425, 502, 372, 263, 1724, 17432, 503, 423, 366, 486, 267, 1341, 274, 1070, 14091, 364, 499, 32510, 499, 425, 502, 482, 263, 14602, 376, 423, 364, 502, 267, 1341, 274, 1070, 10563, 510, 499, 424, 504, 498, 17432, 506, 263, 424, 482, 506, 424, 504, 372, 424, 489, 506, 423, 355, 377, 423, 490, 478, 267, 1341, 274, 1040, 11289, 596, 585, 707, 7589, 780, 31270, 10060, 28951, 692, 258, 476, 1001, 274, 268, 1321, 4982, 10561, 6906, 538, 681, 18898, 692, 4131, 3230, 288, 815, 1422, 346, 630, 320, 318, 272, 267, 513, 318, 273, 267, 1422, 26984, 267, 513, 5332, 2433, 513, 10983, 815, 1422, 10975, 476, 272, 22773, 630, 328, 815, 476, 272, 267, 476, 273, 267, 1422, 26984, 267, 562, 264, 1422, 348, 1422, 11357, 3553, 1422, 13992, 23334, 11892, 333, 21974, 28171, 602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8897, 540, 4859, 543, 3560, 269, 1717, 267, 972, 814, 1044, 1100, 1713, 2333, 538, 519, 2504, 540, 891, 10173, 538, 519, 2250, 1906, 1296, 269, 634, 2601, 568, 602, 972, 568, 1100, 20656, 585, 12696, 19962, 547, 1164, 2504, 1942, 543, 1100, 2640, 585, 6800, 1317, 540, 18633, 1587, 2298, 543, 2539, 4492, 4346, 543, 1379, 269, 5047, 267, 11944, 540, 1985, 22831, 26873, 630, 324, 3052, 1421, 4402, 2988, 10062, 543, 4492, 1591, 3167, 6472, 264, 786, 2539, 519, 3747, 585, 17405, 269, 3245, 713, 5133, 267, 621, 4667, 607, 952, 972, 568, 1100, 1909, 2451, 585, 6915, 325, 3241, 2504, 538, 3567, 779, 2104, 1648, 1062, 269, 1717, 267, 689, 1776, 5133, 267, 6915, 30669, 949, 723, 513, 4105, 1599, 896, 930, 6381, 267, 952, 3617, 543, 19311, 4066, 616, 2919, 269, 4635, 519, 1383, 540, 513, 3209, 7686, 19342, 2504, 1184, 1210, 18300, 27857, 267, 713, 2376, 11828, 1346, 4066, 543, 6381, 538, 6518, 6915, 30669, 666, 581, 513, 851, 540, 2104, 4264, 1648, 1949, 563, 3008, 297, 290, 2480, 22455, 1641, 2127, 454, 268, 13127, 490, 500, 27730, 630, 10429, 357, 420, 486, 361, 264, 0, 289, 5306, 545, 7256, 5741, 630, 7034, 303, 994, 763, 27397, 7256, 5741, 630, 7034, 303, 264, 568, 519, 7887, 1788, 540, 20648, 6789, 303, 6339, 538, 6480, 8205, 269, 634, 1788, 729, 15748, 676, 519, 25227, 2817, 8189, 585, 20648, 538, 476, 2735, 280, 543, 6480, 8205, 13166, 8678, 519, 1788, 538, 476, 1960, 273, 269, 645, 9915, 729, 519, 1101, 13455, 1016, 15696, 1308, 20648, 6789, 303, 6339, 14365, 712, 547, 3895, 519, 4027, 540, 513, 2101, 1560, 540, 1216, 543, 922, 2200, 267, 607, 1134, 607, 954, 14426, 1565, 543, 3486, 1620, 563, 7034, 303, 568, 606, 3486, 3060, 540, 3506, 267, 2502, 782, 519, 2477, 4478, 519, 27397, 7256, 269, 4653, 267, 1472, 476, 1220, 3506, 616, 3742, 538, 519, 645, 9915, 269, 645, 9915, 12651, 4656, 593, 519, 2825, 2042, 540, 519, 27397, 7256, 543, 519, 6402, 1063, 812, 543, 2470, 267, 2337, 519, 3610, 543, 1053, 547, 5469, 519, 4478, 2242, 543, 519, 1909, 540, 1004, 538, 891, 2242, 267, 543, 5012, 1762, 1004, 547, 957, 19100, 269, 645, 9915, 8309, 547, 4264, 1646, 3853, 543, 568, 513, 5386, 1383, 540, 2069, 585, 4264, 1646, 538, 2259, 563, 1103, 476, 1001, 280, 267, 645, 9915, 9976, 922, 476, 1789, 628, 16683, 543, 585, 602, 8317, 267, 570, 691, 340, 7025, 4065, 10418, 1927, 609, 7025, 4065, 5948, 661, 2145, 517, 543, 609, 2883, 1489, 689, 519, 6480, 20897, 12080, 540, 4065, 543, 3194, 543, 519, 6480, 20897, 7025, 20971, 10418, 267, 3370, 968, 763, 7454, 13756, 14635, 540, 519, 27397, 7256, 5741, 476, 2735, 280, 268, 1001, 280, 6100, 0, 293, 5217, 519, 2530, 540, 513, 1920, 4759, 610, 2673, 3659, 568, 4440, 835, 540, 519, 1034, 2352, 2591, 602, 1272, 25001, 693, 721, 269, 1879, 649, 4312, 4503, 513, 7649, 267, 2385, 267, 7015, 610, 11078, 267, 649, 2811, 2693, 547, 1995, 7920, 16236, 563, 4407, 2669, 568, 513, 2067, 851, 540, 938, 2729, 267, 649, 949, 1869, 581, 16397, 676, 8710, 267, 10539, 543, 18354, 602, 949, 9594, 811, 6905, 5712, 540, 4965, 269, 3776, 4606, 540, 18354, 693, 519, 2669, 540, 513, 6068, 835, 949, 24390, 607, 942, 4422, 676, 267, 855, 621, 781, 1898, 547, 11760, 519, 1184, 540, 20494, 1324, 543, 3136, 547, 1413, 1394, 593, 519, 2053, 596, 6170, 1927, 563, 2171, 782, 2746, 8335, 950, 513, 6068, 835, 10523, 267, 543, 649, 782, 1265, 2189, 2081, 540, 12003, 609, 16236, 269, 1809, 972, 781, 1100, 1305, 942, 4336, 585, 20494, 1324, 910, 585, 930, 1004, 267, 621, 3217, 3275, 267, 1247, 1866, 991, 513, 1032, 610, 1079, 547, 2097, 547, 2474, 609, 741, 2530, 269, 1809, 936, 942, 267, 1034, 1004, 666, 9156, 689, 519, 16236, 540, 581, 516, 29713, 952, 1920, 543, 2828, 1489, 873, 563, 2791, 949, 723, 4862, 827, 519, 11775, 540, 16236, 267, 689, 519, 3355, 8710, 543, 24677, 998, 10845, 267, 4965, 543, 6368, 2921, 513, 2318, 2490, 2509, 2324, 998, 519, 2530, 269, 4107, 1004, 786, 20494, 557, 585, 513, 1247, 543, 1287, 581, 2111, 547, 1847, 593, 609, 741, 2729, 269, 1809, 1866, 949, 991, 3606, 1489, 607, 741, 16236, 11151, 873, 689, 8876, 856, 741, 8912, 3232, 2238, 269, 1656, 711, 3025, 2833, 519, 5933, 540, 16236, 538, 26567, 1931, 269, 5502, 267, 707, 4606, 1522, 18711, 1394, 543, 8521, 689, 1554, 547, 1554, 267, 2523, 538, 519, 4505, 5933, 540, 20494, 1324, 563, 2005, 781, 2760, 2653, 547, 1577, 979, 540, 513, 6068, 835, 269, 898, 666, 1491, 942, 267, 855, 930, 2635, 12003, 2994, 949, 948, 2576, 945, 781, 20494, 1324, 547, 3398, 741, 2530, 543, 1265, 513, 1007, 2631, 540, 3483, 538, 1272, 563, 2467, 781, 1100, 942, 3970, 593, 31366, 269, 1703, 616, 865, 1082, 4632, 609, 16236, 267, 971, 607, 519, 2085, 540, 519, 6068, 835, 267, 519, 3259, 540, 707, 2078, 543, 875, 789, 5747, 910, 585, 1383, 267, 729, 621, 6727, 267, 2067, 267, 610, 15779, 286, 7756, 6381, 1404, 883, 519, 3259, 540, 942, 649, 991, 547, 3398, 938, 2530, 267, 543, 4259, 513, 942, 3970, 593, 20494, 1324, 666, 1039, 547, 519, 2566, 540, 581, 516, 29713, 269, 5502, 267, 3398, 602, 3025, 781, 1114, 267, 543, 596, 3513, 581, 2111, 547, 1847, 593, 950, 596, 2811, 4712, 563, 2252, 596, 2057, 1866, 267, 596, 2811, 5248, 908, 3054, 689, 513, 1489, 3060, 540, 1920, 543, 2828, 945, 666, 948, 596, 609, 519, 1184, 540, 7067, 269, 32695, 827, 2530, 6087, 596, 547, 11760, 1018, 814, 5949, 543, 13071, 596, 2671, 8823, 540, 707, 6068, 835, 563, 12648, 1416, 540, 3054, 543, 707, 1920, 269, 717, 4471, 1324, 3217, 922, 17167, 9308, 607, 1134, 607, 15508, 269, 1924, 2638, 538, 593, 6068, 3283, 543, 1118, 2386, 789, 2811, 4189, 1134, 267, 3478, 2614, 3207, 543, 16706, 5781, 563, 288, 24133, 13071, 596, 2769, 707, 16236, 538, 513, 18216, 691, 545, 1259, 269, 5029, 2358, 513, 24133, 602, 4564, 519, 4295, 2418, 543, 7209, 540, 519, 21549, 568, 513, 1259, 547, 8661, 741, 1272, 543, 22632, 741, 3965, 269, 5675, 513, 552, 592, 9609, 543, 7446, 4190, 2575, 267, 5810, 543, 13220, 2337, 547, 4163, 596, 998, 519, 2038, 2395, 540, 16236, 543, 666, 3142, 513, 2631, 540, 19479, 563, 12441, 707, 6068, 835, 723, 513, 2178, 3310, 593, 707, 1272, 286, 9320, 789, 6462, 543, 6273, 596, 1282, 707, 2069, 610, 5310, 596, 8359, 707, 4876, 2619, 547, 1246, 538, 741, 3723, 25074, 269, 5457, 532, 875, 789, 5280, 596, 543, 11173, 741, 10781, 538, 707, 1378, 1272, 666, 948, 596, 547, 2097, 547, 2474, 609, 707, 2530, 563, 2691, 596, 6108, 942, 609, 824, 1920, 2818, 543, 2828, 540, 519, 21549, 267, 621, 2337, 3025, 11883, 269, 6787, 621, 781, 3168, 693, 6337, 267, 6947, 547, 2575, 610, 4687, 8823, 267, 513, 2370, 4674, 666, 1118, 513, 7372, 3017, 585, 930, 1004, 269, 1656, 950, 596, 948, 1866, 267, 621, 849, 2636, 596, 547, 1745, 1732, 563, 763, 16683, 540, 9561, 513, 6068, 835, 666, 581, 2352, 267, 855, 621, 666, 849, 581, 513, 942, 547, 8661, 543, 22632, 873, 269, 19805, 547, 798, 1945, 2318, 547, 1665, 519, 4266, 267, 2436, 621, 781, 9870, 7482, 585, 741, 19463, 17493, 610, 9544, 513, 9782, 321, 2313, 538, 741, 3965, 267, 666, 948, 596, 1847, 4464, 543, 18949, 707, 1272, 563, 2005, 781, 2141, 11213, 547, 6336, 2576, 267, 855, 621, 786, 1205, 4443, 609, 942, 267, 543, 2635, 12003, 6127, 786, 948, 596, 1205, 998, 269, 1411, 3513, 4440, 1995, 513, 2039, 540, 4606, 267, 1519, 10845, 267, 18354, 543, 5957, 1465, 269, 1452, 4664, 616, 4625, 2067, 267, 543, 621, 781, 5363, 547, 21028, 873, 269, 29732, 27003, 17186, 476, 6924, 666, 948, 596, 538, 581, 516, 29713, 267, 25695, 16236, 267, 4227, 10845, 267, 8165, 4965, 543, 4543, 596, 547, 3398, 707, 2530, 543, 1577, 979, 563, 29189, 783, 7287, 568, 513, 1950, 5872, 540, 10399, 267, 4664, 543, 1134, 5630, 269, 1879, 707, 7649, 568, 711, 607, 5461, 538, 3023, 607, 596, 616, 267, 621, 779, 10355, 513, 18349, 540, 596, 607, 513, 1268, 269, 1924, 621, 779, 1898, 547, 581, 607, 28450, 607, 596, 666, 3823, 707, 18312, 5391, 573, 657, 563, 2710, 596, 3006, 1745, 707, 10781, 616, 711, 519, 1267, 540, 707, 2182, 960, 543, 5578, 855, 616, 1175, 9939, 286, 1656, 798, 596, 4250, 602, 835, 1554, 267, 2576, 786, 7866, 596, 607, 606, 791, 8803, 610, 12611, 286, 1411, 1522, 723, 791, 8803, 6794, 2336, 1432, 616, 707, 6663, 538, 1272, 286, 1684, 596, 1544, 547, 581, 3638, 267, 547, 581, 513, 1283, 11176, 518, 267, 547, 581, 513, 1434, 2385, 267, 610, 547, 1831, 11788, 10579, 286, 1717, 7561, 596, 1544, 707, 1272, 267, 19692, 610, 2663, 596, 616, 2469, 547, 2097, 909, 1996, 9465, 547, 8236, 707, 3853, 563, 14399, 781, 4337, 5209, 917, 1100, 7182, 543, 741, 9909, 616, 513, 3575, 540, 13922, 543, 6720, 553, 625, 267, 519, 1483, 543, 519, 9589, 267, 519, 7543, 543, 519, 24276, 563, 2690, 1082, 1004, 267, 476, 1708, 271, 814, 1044, 835, 540, 519, 10782, 1296, 789, 666, 3314, 269, 634, 5046, 910, 866, 6855, 543, 1514, 19727, 723, 4957, 938, 2729, 538, 2081, 649, 1131, 711, 723, 5156, 2009, 513, 1032, 3516, 269, 1656, 950, 5130, 476, 1708, 272, 2501, 1472, 267, 649, 2811, 1869, 2693, 547, 581, 6849, 1082, 2591, 269, 2052, 476, 1708, 272, 581, 513, 1732, 1032, 286, 5649, 519, 2347, 2376, 454, 299, 2106, 333, 18722, 5143, 621, 1360, 23182, 538, 1200, 5152, 968, 296, 1917, 707, 533, 30972, 282, 594, 2760, 16219, 596, 513, 9782, 4677, 6100, 5020, 3884, 1406, 782, 24712, 543, 16764, 2833, 1945, 789, 1131, 2864, 711, 2899, 538, 741, 1272, 19403, 519, 2347, 2376, 454, 10144, 6108, 865, 1454, 540, 741, 942, 26845, 1154, 519, 2250, 543, 20468, 827, 519, 2104, 269, 1809, 621, 779, 711, 4502, 621, 256, 4634, 1018, 5949, 19108, 3085, 1405, 2339, 15042, 256, 2913, 979, 540, 519, 2250, 543, 519, 2104, 543, 1118, 519, 1034, 540, 1169, 4090, 563, 2710, 596, 1745, 596, 2461, 2141, 10404, 2358, 543, 32198, 3025, 267, 3054, 3769, 286, 1684, 596, 1745, 3983, 827, 621, 19952, 286, 1411, 2461, 6157, 711, 4805, 256, 3367, 593, 547, 3605, 875, 596, 666, 9794, 1447, 543, 1376, 547, 3398, 1919, 519, 1259, 789, 616, 563, 1432, 666, 596, 798, 952, 707, 4819, 3085, 1405, 1616, 547, 979, 1394, 547, 1153, 286, 3371, 616, 938, 23456, 543, 4388, 547, 948, 952, 707, 1126, 568, 11589, 513, 30671, 547, 979, 547, 1153, 563, 4692, 649, 1451, 689, 938, 9073, 543, 1020, 513, 6793, 267, 8902, 3929, 6125, 5976, 938, 3214, 286, 1677, 948, 596, 2697, 707, 4617, 9634, 267, 649, 4076, 17031, 909, 930, 540, 519, 1034, 1455, 9073, 3237, 1118, 563, 6701, 596, 18516, 799, 29732, 5810, 666, 948, 596, 286, 13555, 8751, 585, 1863, 5796, 269, 0, 2304, 6605, 8328, 20381, 640, 7710, 519, 7613, 540, 20381, 640, 13251, 610, 15427, 676, 1480, 4853, 2534, 269, 4935, 267, 13251, 20381, 640, 5305, 20381, 1648, 5189, 676, 1480, 2238, 267, 883, 519, 4224, 5250, 282, 1247, 15427, 20381, 640, 616, 1346, 2621, 267, 1141, 29684, 1648, 5305, 568, 15427, 676, 1480, 2534, 269, 901, 568, 513, 2027, 3510, 950, 519, 20381, 640, 568, 3254, 547, 581, 2404, 609, 1216, 23854, 269, 7324, 782, 16767, 10483, 676, 1480, 2238, 267, 713, 1826, 540, 20381, 640, 3123, 519, 16999, 16767, 269, 634, 4102, 16767, 15427, 676, 1216, 791, 895, 618, 723, 25295, 513, 9588, 540, 476, 277, 269, 12769, 584, 5270, 540, 513, 14124, 476, 277, 269, 274, 9588, 13091, 693, 918, 1195, 3534, 12456, 267, 3127, 267, 3576, 1747, 538, 5412, 476, 3422, 278, 630, 10817, 24473, 476, 1220, 273, 1040, 634, 1909, 540, 13111, 14226, 538, 24254, 9588, 476, 278, 269, 280, 13091, 538, 3624, 476, 1220, 279, 568, 1869, 896, 7521, 630, 10481, 1696, 620, 269, 476, 1220, 280, 282, 717, 1695, 531, 2246, 543, 717, 1695, 531, 2246, 267, 476, 1001, 271, 1040, 769, 10476, 519, 16999, 2013, 540, 513, 13111, 15427, 20381, 2680, 540, 9588, 476, 275, 269, 280, 3576, 1747, 538, 670, 10394, 23642, 327, 19435, 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 ]
[ 15277, 5133, 538, 799, 1312, 4872, 543, 8658, 9148, 1142, 824, 267, 855, 2760, 1106, 513, 23887, 2898, 269, 901, 538, 1532, 15277, 1533, 568, 3730, 585, 803, 269, 3245, 713, 5133, 594, 666, 10250, 3344, 540, 19934, 538, 519, 22096, 267, 1175, 607, 594, 666, 3713, 7184, 11251, 3344, 540, 519, 22096, 538, 19934, 779, 4872, 543, 8916, 269, 14520, 8536, 1079, 4627, 32210, 26690, 5998, 5094, 519, 2477, 267, 799, 9114, 538, 1114, 17407, 269, 6884, 741, 2797, 543, 2804, 9988, 2170, 267, 824, 2053, 789, 1810, 1406, 269, 1703, 616, 1894, 543, 19944, 340, 885, 269, 898, 779, 689, 713, 2796, 602, 1250, 7499, 960, 9428, 563, 29669, 281, 12344, 519, 538, 1532, 15277, 1533, 596, 4766, 1058, 581, 513, 1533, 649, 782, 19582, 267, 952, 649, 616, 547, 11760, 519, 2518, 1303, 4120, 906, 602, 3337, 938, 2250, 543, 1459, 267, 543, 946, 1018, 3794, 1170, 656, 7125, 513, 968, 17839, 8767, 9637, 892, 547, 3068, 2916, 1689, 538, 1175, 2081, 630, 10908, 1170, 656, 1299, 30733, 267, 476, 1960, 278, 1040, 769, 707, 960, 596, 6542, 1018, 568, 2009, 267, 689, 835, 1268, 543, 835, 2146, 267, 593, 513, 9962, 4336, 269, 1411, 946, 4773, 540, 519, 2250, 547, 4020, 513, 11556, 585, 1447, 993, 5886, 13519, 20304, 269, 1452, 20304, 616, 10600, 538, 799, 9746, 268, 543, 2229, 21445, 1349, 633, 6080, 971, 607, 5599, 616, 6534, 607, 2585, 725, 540, 7810, 1379, 3889, 267, 4061, 13934, 267, 543, 4061, 24905, 1194, 269, 1403, 519, 7810, 533, 822, 559, 687, 12286, 538, 707, 8521, 5765, 1788, 616, 606, 1383, 540, 23019, 3631, 3710, 538, 519, 3028, 540, 19525, 267, 1287, 707, 1378, 19698, 2709, 1776, 2186, 540, 2203, 11652, 707, 2203, 4337, 1149, 1018, 2916, 5126, 1223, 1413, 899, 563, 14112, 569, 1310, 938, 6643, 267, 519, 476, 1708, 273, 700, 889, 3518, 20076, 645, 1329, 333, 1446, 8118, 609, 513, 15217, 26940, 14266, 267, 799, 8268, 17219, 543, 922, 1514, 543, 2916, 2360, 267, 896, 519, 2140, 1677, 3495, 290, 527, 2946, 610, 1677, 3495, 30949, 269, 24167, 4296, 1063, 4207, 1272, 538, 519, 2022, 24645, 2796, 540, 700, 889, 3518, 20076, 607, 1134, 607, 2066, 519, 4683, 6820, 3162, 267, 543, 519, 3140, 543, 5571, 5222, 540, 4853, 3157, 593, 519, 6384, 540, 4683, 1272, 267, 519, 14266, 6949, 730, 609, 7195, 334, 10202, 779, 1378, 960, 538, 11837, 4853, 543, 2804, 7835, 685, 5222, 593, 2528, 543, 2916, 269, 11531, 267, 29761, 568, 14120, 782, 1919, 3203, 715, 537, 557, 879, 538, 476, 1708, 274, 547, 1665, 476, 9873, 1296, 2094, 519, 4056, 8841, 29088, 320, 6192, 26800, 1088, 5600, 267, 513, 13654, 1383, 540, 3203, 715, 537, 557, 879, 6189, 538, 519, 2749, 269, 7201, 519, 2324, 2140, 540, 1133, 18478, 623, 822, 559, 542, 267, 7195, 334, 10202, 568, 29050, 588, 1645, 606, 14266, 602, 7710, 519, 7810, 1379, 1894, 602, 20690, 519, 2099, 1049, 543, 3261, 894, 2853, 540, 3203, 715, 537, 557, 879, 269, 1306, 7195, 334, 10202, 15091, 538, 713, 5967, 267, 24218, 602, 9691, 4983, 1018, 6013, 9944, 519, 1795, 3547, 540, 938, 4872, 1419, 21048, 559, 1894, 543, 19944, 340, 885, 602, 12927, 8635, 269, 634, 1184, 540, 21048, 4979, 602, 6013, 693, 519, 4295, 540, 7195, 334, 10202, 779, 2259, 6585, 519, 9153, 540, 6679, 519, 1259, 585, 811, 1175, 3029, 540, 13190, 543, 5698, 563, 7804, 269, 2142, 17433, 27215, 601, 14982, 568, 513, 17976, 337, 538, 519, 3203, 4972, 540, 717, 9529, 19431, 338, 267, 2160, 540, 5507, 267, 543, 513, 11001, 693, 6239, 12142, 6742, 1231, 267, 2160, 540, 519, 8551, 5507, 1141, 1352, 1568, 593, 519, 1788, 968, 19425, 3538, 675, 1310, 15339, 281, 32085, 6657, 538, 519, 8131, 540, 519, 8693, 17073, 1848, 901, 2376, 729, 3812, 607, 851, 540, 602, 1788, 267, 543, 519, 2278, 16858, 547, 9684, 1200, 9164, 585, 741, 19015, 543, 5955, 269, 634, 1788, 568, 14102, 676, 519, 3703, 8551, 543, 28299, 3194, 7027, 630, 288, 295, 13612, 589, 295, 270, 309, 19740, 27543, 270, 272, 264, 543, 519, 4436, 3194, 7690, 630, 5263, 294, 275, 4366, 5325, 273, 277, 4366, 1040, 0, 8368, 540, 12937, 454, 1432, 798, 649, 798, 950, 649, 991, 547, 2769, 938, 6644, 593, 513, 1641, 610, 2671, 1344, 649, 723, 609, 2576, 3116, 286, 1403, 789, 616, 2282, 267, 649, 666, 2911, 547, 1004, 827, 621, 269, 1809, 1018, 950, 649, 991, 547, 5968, 519, 1482, 609, 513, 3677, 5304, 286, 22868, 899, 1543, 1603, 267, 5816, 3101, 543, 19761, 723, 519, 6662, 540, 4687, 1344, 609, 513, 1804, 8397, 5304, 269, 23883, 538, 713, 3059, 5736, 267, 4589, 991, 547, 581, 811, 6297, 827, 519, 1543, 543, 2497, 540, 741, 1603, 269, 6153, 2376, 2914, 3876, 1983, 2097, 883, 1404, 1934, 269, 15080, 723, 513, 3982, 3898, 543, 2497, 269, 22439, 1058, 16783, 609, 891, 3652, 547, 1459, 741, 2093, 538, 513, 1134, 3613, 19099, 543, 24669, 6073, 269, 3367, 2417, 547, 1451, 811, 827, 519, 9238, 540, 2376, 1603, 269, 3367, 593, 547, 1451, 875, 547, 2328, 606, 2376, 563, 2304, 2376, 568, 513, 4062, 540, 1603, 269, 898, 568, 2854, 547, 15476, 547, 513, 1804, 5304, 3842, 14786, 267, 21075, 267, 17476, 610, 1256, 13746, 269, 634, 6859, 540, 1603, 606, 2376, 666, 581, 519, 1739, 563, 268, 1677, 2769, 519, 6644, 540, 519, 2489, 1857, 610, 1808, 1629, 2762, 593, 513, 4207, 3390, 563, 268, 1677, 3310, 519, 2489, 6644, 827, 513, 1699, 3390, 563, 268, 1677, 1217, 519, 3988, 827, 1007, 1873, 20564, 2621, 563, 268, 1677, 3142, 4598, 547, 610, 2344, 519, 5767, 2472, 538, 519, 4610, 899, 2029, 267, 6752, 267, 1072, 3092, 563, 2662, 7241, 519, 6662, 568, 267, 930, 2489, 3652, 4019, 547, 782, 3029, 540, 2376, 1603, 269, 1284, 991, 547, 917, 811, 827, 1114, 2010, 540, 4930, 1101, 563, 15650, 540, 15080, 454, 288, 1592, 540, 1114, 5686, 540, 4930, 568, 538, 519, 3349, 2630, 269, 898, 568, 1271, 547, 1174, 519, 1826, 540, 2376, 1354, 596, 1451, 875, 547, 2328, 606, 2376, 563, 347, 13911, 540, 9137, 1475, 15008, 2008, 19064, 619, 24070, 2376, 1475, 763, 6662, 540, 713, 2376, 568, 547, 18609, 519, 3988, 540, 513, 1808, 2856, 610, 1448, 540, 2070, 8198, 347, 5327, 20696, 2376, 1475, 1607, 2376, 786, 2285, 519, 3988, 513, 3102, 7778, 602, 2337, 873, 3308, 1047, 519, 3877, 540, 519, 3364, 4330, 8198, 347, 301, 1551, 894, 2376, 1475, 1103, 713, 1826, 540, 2376, 267, 519, 5856, 814, 547, 2278, 610, 1936, 622, 621, 538, 513, 1650, 6438, 6073, 8198, 347, 26855, 2163, 894, 2376, 1475, 2080, 519, 5856, 13290, 547, 3142, 606, 3390, 547, 519, 5469, 540, 3988, 543, 2303, 3435, 585, 602, 1966, 269, 3973, 789, 2119, 547, 3142, 538, 2798, 602, 17854, 741, 6644, 827, 519, 1880, 1888, 543, 3070, 789, 723, 2016, 8198, 347, 2750, 1842, 7480, 2376, 1475, 2304, 2376, 540, 713, 1826, 814, 606, 2278, 3843, 547, 2285, 1344, 593, 513, 1808, 1641, 1510, 4946, 2123, 8369, 8198, 26705, 540, 606, 9137, 454, 2304, 2376, 1058, 581, 538, 513, 3044, 3898, 547, 2333, 519, 31824, 540, 519, 1570, 269, 634, 4062, 1590, 581, 2111, 547, 6952, 519, 3007, 540, 519, 3988, 607, 1134, 607, 3180, 621, 2394, 519, 1439, 269, 634, 2596, 543, 1034, 4553, 3898, 540, 606, 2376, 568, 607, 2016, 2630, 563, 268, 1261, 8172, 610, 519, 2140, 281, 634, 2140, 568, 1018, 513, 5467, 12034, 1101, 950, 1352, 5654, 585, 610, 5654, 883, 606, 2376, 269, 1924, 1118, 2386, 602, 621, 568, 3750, 2275, 10248, 267, 13801, 543, 814, 1913, 602, 513, 2009, 5467, 1522, 3343, 269, 898, 1058, 711, 723, 811, 982, 476, 276, 610, 476, 277, 1913, 538, 621, 269, 898, 1058, 849, 581, 513, 1129, 4580, 547, 1018, 513, 5467, 666, 2503, 689, 602, 2376, 563, 268, 1635, 11060, 610, 519, 2012, 540, 519, 2278, 281, 2991, 519, 2140, 267, 972, 568, 519, 676, 11060, 799, 2829, 519, 2376, 5856, 779, 2012, 269, 901, 1259, 513, 17404, 666, 2285, 5491, 547, 519, 964, 6326, 2278, 563, 268, 4985, 281, 901, 5037, 1058, 1459, 519, 1292, 1448, 540, 519, 2376, 269, 898, 2115, 547, 581, 538, 971, 513, 1259, 602, 2306, 621, 5827, 540, 19788, 3007, 543, 8716, 519, 7279, 540, 519, 5467, 563, 268, 10610, 281, 634, 1560, 9433, 2270, 519, 1292, 1543, 540, 519, 2376, 269, 1411, 666, 7941, 713, 851, 883, 607, 1082, 9433, 607, 596, 949, 899, 2687, 547, 519, 4998, 3259, 4956, 676, 519, 2278, 610, 11311, 676, 519, 9375, 269, 901, 568, 519, 851, 538, 799, 519, 2278, 11828, 4143, 1344, 267, 3947, 8369, 543, 7440, 3092, 269, 2353, 519, 1344, 538, 891, 9433, 1058, 581, 1134, 3146, 572, 2117, 1117, 543, 1249, 19295, 22486, 563, 268, 10390, 281, 901, 568, 1141, 649, 1439, 519, 2376, 676, 4758, 513, 1289, 585, 2962, 610, 513, 19583, 585, 519, 2104, 585, 3988, 269, 3371, 649, 12927, 519, 2093, 4843, 543, 2119, 547, 1118, 519, 5304, 2015, 873, 563, 1692, 547, 3503, 606, 9137, 888, 3086, 602, 649, 917, 519, 3044, 3898, 585, 1603, 606, 2376, 649, 1058, 849, 1451, 875, 547, 1544, 267, 7291, 543, 2328, 606, 2376, 269, 634, 3268, 585, 1603, 606, 2376, 616, 2016, 2630, 563, 268, 7994, 513, 1888, 269, 5269, 513, 1592, 540, 3584, 543, 946, 519, 17594, 1505, 547, 1265, 519, 835, 602, 568, 1034, 4143, 543, 17015, 707, 4690, 1655, 563, 268, 6258, 827, 519, 6098, 5304, 269, 901, 568, 2523, 1271, 950, 596, 616, 1603, 703, 2056, 547, 2344, 513, 1587, 269, 634, 1629, 2762, 6098, 786, 948, 596, 3442, 519, 1888, 607, 1134, 607, 6430, 519, 5639, 540, 519, 1603, 269, 3371, 649, 1058, 2015, 519, 3988, 685, 2085, 267, 3872, 4282, 267, 5993, 4747, 267, 2797, 5784, 267, 9140, 6208, 3092, 563, 268, 11814, 1239, 543, 824, 1344, 1898, 585, 1603, 519, 1570, 269, 8074, 873, 1524, 538, 513, 21641, 543, 27043, 873, 538, 519, 1655, 5311, 563, 268, 20895, 519, 2376, 269, 32341, 538, 799, 1931, 543, 538, 799, 851, 540, 519, 2376, 596, 1616, 547, 2671, 1880, 1344, 563, 268, 11408, 1832, 538, 2247, 519, 3483, 585, 799, 596, 616, 1603, 519, 2376, 563, 268, 3503, 519, 11315, 8908, 2687, 547, 519, 9709, 7291, 269, 5269, 2386, 547, 1865, 1114, 3344, 540, 519, 1641, 538, 1114, 9433, 585, 811, 9355, 563, 268, 5517, 2638, 267, 19577, 1348, 543, 12575, 519, 2376, 269, 2422, 1603, 2645, 593, 519, 4950, 952, 2556, 547, 2697, 21342, 543, 10259, 6959, 269, 7827, 4845, 2497, 952, 2838, 865, 602, 519, 2376, 814, 513, 1732, 2095, 269, 3367, 16965, 952, 621, 786, 948, 596, 1174, 519, 6959, 543, 3668, 540, 5714, 640, 538, 1603, 269, 22043, 1022, 2152, 602, 596, 2097, 2066, 1247, 2542, 16965, 563, 25456, 540, 606, 9137, 454, 7069, 674, 822, 712, 924, 623, 19991, 540, 3203, 454, 1103, 713, 1158, 540, 519, 4950, 543, 3642, 29931, 730, 2592, 1568, 2813, 676, 519, 1688, 540, 1480, 5159, 3180, 513, 1114, 2186, 540, 2495, 269, 898, 1223, 581, 4376, 267, 513, 7206, 267, 513, 18533, 267, 513, 5152, 267, 513, 10571, 610, 1256, 513, 1454, 2000, 3437, 11600, 5423, 538, 707, 1920, 585, 14812, 269, 1656, 547, 1265, 513, 19463, 1851, 873, 568, 8197, 513, 2352, 4305, 547, 798, 563, 7069, 19463, 4062, 540, 1148, 2479, 2813, 568, 2048, 763, 10060, 787, 13957, 9957, 898, 568, 606, 3282, 6823, 2275, 534, 11663, 7206, 2944, 676, 27673, 8709, 717, 26710, 269, 1261, 729, 513, 2022, 27780, 1833, 626, 18048, 269, 634, 23350, 540, 519, 5137, 540, 713, 1148, 568, 607, 4277, 607, 519, 1148, 3294, 269, 898, 568, 1767, 602, 8709, 717, 26710, 13556, 2048, 763, 10060, 787, 13957, 685, 1282, 1010, 3251, 538, 519, 12142, 6261, 4954, 11546, 5336, 9476, 1961, 561, 684, 1738, 28357, 1141, 646, 32380, 15861, 5128, 1310, 2348, 513, 2790, 15059, 4611, 538, 1864, 4573, 559, 908, 1010, 2451, 1274, 269, 594, 4718, 713, 7206, 585, 519, 1101, 942, 538, 513, 1453, 779, 2489, 1702, 12139, 269, 634, 1433, 779, 1292, 1641, 540, 519, 3018, 729, 27673, 8709, 717, 26710, 779, 1272, 543, 1568, 269, 634, 4480, 543, 519, 4999, 540, 519, 15437, 1500, 621, 1413, 5326, 344, 267, 3592, 899, 513, 26390, 1588, 269, 898, 2306, 803, 1589, 602, 713, 4062, 540, 1148, 3090, 2478, 1169, 7376, 779 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 4587, 1004, 281, 519, 4158, 2427, 269, 808, 16989, 13363, 269, 476, 1220, 272, 282, 274, 263, 273, 2567, 476, 3953, 1700, 6078, 563, 268, 476, 275, 269, 918, 31151, 1068, 808, 299, 267, 654, 1023, 327, 29273, 267, 25306, 631, 269, 26744, 569, 538, 3013, 281, 589, 10855, 1353, 540, 9632, 6057, 6313, 2817, 5549, 1211, 9122, 27561, 3590, 630, 25712, 289, 11965, 1070, 1239, 476, 1220, 271, 1700, 1220, 276, 269, 808, 26744, 18816, 10598, 331, 269, 476, 1220, 280, 282, 2641, 263, 275, 2567, 476, 23283, 1700, 24833, 269, 30202, 281, 1001, 279, 4029, 4343, 454, 268, 476, 276, 269, 715, 2795, 2023, 595, 267, 667, 1066, 22974, 808, 267, 7066, 2329, 12463, 267, 700, 3530, 1068, 344, 589, 267, 10370, 976, 594, 267, 623, 3559, 534, 589, 267, 1696, 620, 269, 18816, 543, 10714, 540, 4587, 1004, 538, 8581, 269, 7797, 593, 519, 2817, 5530, 540, 26744, 18816, 543, 10598, 937, 269, 25212, 281, 2817, 10418, 585, 519, 10466, 540, 24771, 4658, 267, 2160, 5441, 269, 25212, 282, 476, 1001, 271, 269, 12232, 281, 5291, 2517, 4178, 8542, 322, 16647, 269, 773, 270, 12528, 325, 3796, 11721, 850, 270, 7093, 28700, 260, 736, 13231, 344, 260, 736, 8999, 4424, 260, 736, 516, 1636, 15005, 269, 21700, 476, 736, 5988, 476, 1001, 276, 563, 268, 476, 277, 269, 623, 4068, 1067, 918, 267, 674, 1074, 601, 1817, 667, 269, 634, 9860, 540, 9632, 6057, 281, 589, 4351, 3732, 5619, 269, 15168, 2632, 6048, 269, 476, 2735, 279, 282, 2764, 263, 272, 2567, 476, 7906, 1700, 6872, 269, 30202, 281, 31172, 26482, 273, 454, 268, 476, 278, 269, 590, 996, 328, 667, 267, 8381, 590, 267, 631, 4345, 674, 267, 13852, 529, 631, 267, 6755, 327, 1446, 645, 267, 594, 4011, 571, 631, 1301, 1961, 14765, 594, 267, 1696, 620, 269, 3864, 1867, 593, 7303, 9632, 28915, 13015, 269, 25611, 281, 2622, 2657, 9257, 282, 476, 1001, 272, 269, 12232, 281, 5291, 2517, 4178, 4318, 1755, 269, 15367, 269, 842, 270, 1029, 11907, 270, 817, 1115, 9706, 4206, 18316, 270, 9826, 271, 270, 13893, 6858, 277, 27160, 4817, 272, 1015, 15005, 269, 21700, 476, 736, 5988, 476, 1001, 276, 563, 268, 476, 279, 269, 16423, 681, 269, 26744, 6057, 543, 10714, 281, 3123, 543, 4539, 269, 808, 15168, 9332, 337, 24741, 269, 476, 1960, 278, 282, 1789, 281, 476, 14631, 1700, 14690, 563, 268, 476, 280, 269, 634, 2817, 26744, 18816, 5549, 2064, 5530, 630, 301, 12788, 3041, 1040, 15937, 7797, 269, 4972, 540, 2657, 543, 5274, 7896, 676, 519, 2817, 4741, 593, 26744, 18816, 630, 301, 4753, 288, 5148, 476, 1960, 279, 269, 12232, 281, 5291, 2517, 7776, 320, 10993, 12458, 334, 288, 318, 3682, 31810, 27582, 19520, 318, 305, 2074, 27582, 19520, 318, 6781, 2224, 7933, 665, 338, 270, 5723, 2224, 27751, 318, 17359, 15005, 269, 21700, 476, 736, 5988, 476, 1001, 276, 563, 268, 476, 1015, 269, 24230, 6199, 808, 296, 267, 9375, 269, 18816, 540, 4587, 2367, 269, 1715, 3840, 281, 634, 8316, 2180, 631, 5306, 13015, 1299, 23247, 4964, 281, 476, 1220, 278, 563, 268, 476, 1556, 269, 9253, 577, 1640, 516, 631, 294, 269, 3883, 2689, 281, 16888, 594, 269, 24230, 6199, 2073, 9375, 269, 18816, 540, 24771, 9093, 269, 1715, 3840, 281, 634, 8316, 2180, 631, 5306, 13015, 1299, 23247, 4964, 281, 476, 1220, 278, 269, 2271, 808, 6520, 532, 13536, 5020, 269, 476, 1001, 273, 282, 278, 263, 272, 2567, 26577, 1700, 311, 2862, 563, 268, 476, 1321, 269, 1234, 324, 1407, 918, 288, 267, 2677, 3405, 9820, 20793, 267, 17880, 565, 3149, 570, 299, 267, 19958, 23794, 269, 2271, 1493, 31313, 18816, 540, 24771, 9093, 281, 19047, 585, 519, 10495, 540, 11485, 269, 769, 281, 24230, 6199, 808, 296, 267, 9375, 281, 18816, 540, 4587, 2367, 269, 1715, 3840, 281, 634, 8316, 2180, 631, 5306, 13015, 1299, 23247, 4964, 281, 476, 1220, 278, 269, 6032, 269, 476, 278, 1700, 2767, 563, 268, 476, 1724, 269, 1855, 2120, 623, 289, 267, 10548, 8124, 11860, 331, 9155, 23364, 670, 267, 21780, 542, 4777, 9049, 267, 2806, 1676, 661, 267, 595, 1815, 559, 918, 267, 1677, 1682, 631, 269, 3245, 19992, 519, 1744, 27595, 281, 589, 28483, 540, 519, 20351, 18816, 540, 24771, 9093, 1763, 4575, 538, 16711, 23467, 269, 769, 281, 24230, 6199, 808, 296, 267, 9375, 281, 18816, 540, 4587, 2367, 269, 1715, 3840, 281, 634, 8316, 2180, 631, 5306, 13015, 1299, 23247, 4964, 281, 476, 1220, 278, 269, 6032, 269, 476, 3066, 1700, 3393, 563, 268, 476, 1691, 269, 5062, 301, 2465, 569, 681, 299, 267, 13648, 623, 310, 269, 11872, 593, 1715, 4944, 1653, 32439, 540, 22503, 26744, 18816, 269, 769, 281, 24230, 6199, 808, 296, 267, 9375, 281, 18816, 540, 4587, 2367, 269, 1715, 3840, 281, 634, 8316, 2180, 631, 5306, 13015, 1299, 23247, 4964, 281, 476, 1220, 278, 269, 6032, 269, 476, 4200, 1700, 10482, 563, 268, 476, 1428, 269, 623, 761, 577, 731, 808, 269, 22503, 7861, 15501, 540, 26744, 18816, 281, 4256, 23800, 543, 20126, 269, 5507, 281, 25014, 3821, 18301, 2917, 23255, 282, 476, 1220, 272, 563, 268, 476, 1626, 269, 4477, 1889, 661, 267, 595, 826, 9366, 631, 269, 3131, 8526, 540, 26744, 18816, 1851, 8241, 24771, 20661, 543, 4937, 31943, 619, 269, 3851, 553, 808, 6520, 532, 269, 476, 1220, 278, 282, 2918, 263, 274, 2567, 476, 6344, 1700, 14862, 563, 268, 476, 1704, 269, 6936, 13017, 11038, 269, 634, 6936, 13017, 7797, 593, 26744, 11038, 18816, 282, 476, 1001, 276, 269, 12232, 281, 4179, 2517, 339, 745, 601, 1074, 30087, 12304, 12431, 1115, 4732, 274, 269, 600, 7571, 9155, 2593, 11320, 335, 9762, 550, 270, 340, 22744, 338, 270, 12148, 6441, 1074, 7304, 788, 677, 268, 4002, 7232, 19520, 6363, 514, 2574, 5025, 321, 2224, 268, 23713, 279, 1428, 15005, 269, 21700, 476, 2918, 4728, 476, 1001, 276, 563, 268, 476, 1240, 269, 4787, 597, 31990, 330, 966, 267, 6276, 23794, 269, 18816, 1996, 11361, 538, 3127, 269, 634, 1909, 540, 2069, 269, 645, 10157, 5398, 2657, 269, 476, 1001, 275, 282, 1691, 281, 476, 28656, 269, 30202, 281, 26316, 10204, 7367, 454, 268, 476, 866, 269, 2494, 30747, 19541, 4477, 680, 710, 269, 22503, 9601, 540, 6469, 543, 7649, 6057, 1765, 1839, 1883, 5013, 269, 24722, 2817, 10803, 282, 476, 1001, 275, 269, 12232, 281, 4179, 2517, 332, 1678, 785, 18080, 8807, 3796, 269, 5320, 12304, 2593, 270, 1001, 275, 270, 6349, 270, 1839, 268, 4486, 1922, 9711, 6958, 20623, 268, 1001, 275, 1922, 1400, 15005, 269, 21700, 476, 2918, 4728, 476, 1001, 276, 563, 268, 476, 736, 269, 1924, 4100, 808, 297, 293, 267, 13198, 334, 808, 267, 808, 629, 331, 976, 6390, 645, 267, 9530, 514, 3331, 500, 269, 9093, 779, 2833, 540, 5208, 281, 6708, 267, 2470, 543, 21876, 269, 2271, 808, 17502, 28054, 269, 476, 1220, 278, 282, 1626, 263, 274, 2567, 476, 29483, 1700, 28071, 563, 268, 476, 2641, 269, 17020, 8862, 5793, 7322, 570, 269, 15881, 2510, 540, 10172, 538, 15982, 7649, 5208, 281, 634, 5595, 7828, 540, 5208, 543, 2025, 2085, 269, 808, 28544, 2289, 269, 476, 1001, 273, 282, 2918, 263, 275, 2567, 476, 27843, 1700, 276, 1691, 269, 30202, 281, 26631, 4375, 276, 5325, 454, 268, 476, 2420, 269, 18844, 749, 19364, 267, 26990, 612, 32217, 267, 15769, 269, 4197, 20222, 18830, 6468, 269, 6115, 9823, 281, 2817, 6298, 12562, 4964, 282, 476, 1960, 277, 563, 268, 476, 2537, 269, 5689, 4364, 531, 654, 267, 594, 951, 523, 631, 295, 267, 18741, 341, 1731, 589, 269, 20351, 18816, 540, 24771, 16711, 5851, 1763, 6342, 281, 589, 9085, 5623, 269, 12502, 1763, 4698, 269, 476, 1001, 276, 282, 476, 272, 1700, 278, 269, 12232, 281, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 12893, 276, 270, 1001, 276, 270, 3445, 273, 276, 1428, 269, 21700, 476, 2918, 4728, 476, 1001, 276, 563, 268, 476, 2190, 269, 2549, 26684, 614, 9474, 267, 595, 529, 2401, 808, 300, 267, 15966, 879, 2917, 808, 299, 267, 670, 1716, 663, 14162, 10790, 267, 16334, 21424, 654, 267, 589, 857, 1716, 334, 681, 269, 1684, 5549, 1211, 543, 3131, 7065, 15249, 18567, 540, 26744, 27190, 13015, 5262, 518, 676, 13834, 540, 519, 7861, 574, 286, 11778, 689, 519, 2817, 26744, 27190, 13015, 5530, 269, 808, 26744, 18816, 10598, 331, 269, 476, 1001, 271, 282, 2537, 263, 272, 2567, 476, 6246, 1700, 6872, 563, 268, 476, 1839, 269, 25024, 19845, 267, 4354, 787, 10790, 267, 5062, 10468, 742, 661, 267, 15223, 868, 517, 631, 267, 25024, 808, 299, 267, 14642, 577, 342, 12245, 631, 269, 7736, 519, 8125, 775, 281, 589, 11752, 540, 18816, 1996, 9093, 609, 24894, 269, 808, 23488, 559, 269, 476, 1220, 279, 282, 10619, 263, 275, 2567, 476, 6078, 1700, 7871, 563, 268, 476, 2918, 269, 667, 784, 2473, 304, 267, 23894, 570, 267, 17363, 10790, 269, 634, 12205, 540, 4008, 267, 4965, 543, 9632, 5134, 13015, 538, 513, 2146, 1673, 16946, 4457, 2551, 281, 519, 22212, 1198, 540, 1514, 1489, 269, 5246, 15168, 2632, 565, 15168, 9332, 337, 269, 476, 1001, 271, 282, 2004, 263, 273, 2567, 476, 1708, 1700, 21172, 269, 30202, 281, 4350, 7176, 272, 3451, 454, 268, 476, 2767, 269, 16653, 25458, 328, 570, 290, 267, 589, 7288, 344, 4821, 670, 269, 1323, 6514, 540, 3023, 3604, 538, 1514, 1489, 1851, 4587, 2367, 543, 2021, 269, 11557, 32018, 269, 476, 2735, 278, 282, 1704, 263, 1556, 1700, 1321, 2567, 476, 278, 4391, 1700, 278, 5392, 563, 268, 476, 2764, 269, 774, 334, 1080, 623, 269, 13262, 267, 12003, 267, 543, 1514, 1489, 3157, 281, 7316, 616, 649, 286, 1548, 1985, 286, 808, 2657, 4317, 20409, 269, 476, 1960, 276, 282, 4391, 263, 15761, 571, 17136, 2567, 476, 7871, 1700, 8064, 563, 268, 476, 3066, 269, 589, 857, 1716, 334, 681, 267, 2549, 7578, 661, 297, 269, 26744, 27190, 13015, 607, 23582, 20222, 281, 634, 2817, 26744, 27190, 13015, 5530, 269, 1715, 20252, 281, 717, 6347, 11660, 16316, 20051, 282, 476, 736, 1700, 2190, 5437, 476, 1001, 274, 269, 12232, 281, 5291, 2517, 4178, 4732, 14673, 28022, 270, 340, 22744, 338, 270, 2457, 270, 5881, 27798, 6347, 1001, 274, 318, 292, 19520, 318, 6781, 2224, 318, 5456, 318, 22131, 24007, 5334, 331, 1938, 15005, 269, 21700, 476, 1015, 2904, 476, 1001, 276, 563, 268, 476, 1789, 269, 7313, 1961, 595, 267, 681, 328, 1115, 577, 4802, 808, 269, 2271, 1493, 7649, 6408, 1436, 1851, 4079, 9907, 476, 2568, 543, 4587, 281, 1323, 2079, 540, 519, 476, 1960, 280, 1299, 476, 1220, 275, 2489, 1514, 5619, 269, 808, 26744, 18816, 10598, 331, 269, 476, 1001, 273, 282, 2190, 263, 273, 2567, 476, 6344, 1700, 15389, 269, 30202, 281, 23470, 278, 1428, 1321, 454, 268, 476, 4029, 269, 1975, 27247, 595, 269, 17796, 543, 31664, 540, 18816, 585, 24771, 6468, 269, 717, 13612, 5240, 269, 476, 1960, 279, 282, 1704, 263, 273, 2567, 476, 277, 1700, 279, 563, 268, 476, 3953, 269, 18135, 639, 10790, 269, 13834, 15340, 543, 4573, 7081, 538, 10419, 1674, 540, 4791, 7400, 7649, 5208, 281, 2506, 2869, 673, 2963, 543, 6286, 585, 6604, 543, 2126, 269, 20548, 816, 15329, 550, 20409, 269, 476, 1001, 272, 282, 1626, 281, 476, 29344, 1700, 25971, 563, 268, 476, 3451, 269, 1488, 7815, 808, 269, 11557, 20212, 538, 20548, 1833, 9737, 670, 2678, 18400, 16890, 281, 589, 26426, 268, 22860, 6776, 5623, 269, 5369, 565, 18409, 269, 476, 1220, 271, 282, 14695, 263, 276, 2567, 476, 4792, 272, 1700, 27151, 269, 30202, 281, 11820, 8660, 277, 1428, 454, 268, 476, 4097, 269, 17435, 1695, 589, 267, 17435, 1695, 918, 303, 269, 13834, 20212, 1851, 2806, 4310, 24771, 3979, 4892, 543, 3979, 1977, 2806, 22852, 538, 606, 26744, 18816, 3038, 3187, 10837, 269, 808, 4563, 2289, 269, 476, 1220, 273, 282, 3953, 263, 276, 2567, 476, 4649, 278, 1700, 6872, 274, 563, 268, 476, 3374, 269, 700, 7238, 4034, 611, 590, 267, 918, 7949, 345, 717, 269, 9093, 779, 543, 2021, 779, 4598, 543, 10419, 1674, 540, 7649, 5208, 281, 606, 16917, 8344, 1353, 689, 13785, 269, 645, 10157, 5398, 2657, 269, 476, 1001, 273, 282, 1321, 281, 476, 280, 3393, 269, 30202, 281, 23211, 14341, 4343, 454, 268, 476, 3607, 269, 6890, 1729, 918, 288, 267, 15966, 2335, 19836, 267, 645, 4592, 810, 773, 715, 269, 2271, 1493, 31313, 20222, 538, 17623, 5020, 281, 1323, 5811, 540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1224, 513, 3099, 540, 6140, 15923, 5931, 2123, 3594, 267, 18531, 267, 22808, 267, 30237, 673, 4773, 267, 1019, 2456, 267, 2123, 5022, 2073, 28005, 976, 543, 12583, 616, 1455, 5931, 2705, 267, 3332, 949, 849, 581, 3769, 952, 621, 2982, 930, 1514, 9637, 1053, 538, 606, 3284, 3332, 1362, 786, 1224, 269, 634, 1202, 3187, 781, 3391, 547, 1603, 1164, 27214, 1681, 3594, 593, 519, 3284, 7005, 1893, 543, 3284, 7005, 3332, 11400, 476, 276, 3268, 547, 513, 476, 276, 281, 1603, 519, 3284, 7005, 1557, 476, 1001, 278, 2488, 2994, 585, 1603, 513, 1796, 719, 1557, 593, 519, 4359, 13307, 11400, 267, 2059, 609, 606, 11606, 540, 1557, 2914, 3876, 2259, 713, 9266, 543, 269, 634, 1557, 3296, 540, 519, 3284, 7005, 1893, 543, 5888, 981, 267, 849, 1572, 519, 1863, 268, 24978, 3296, 267, 3340, 596, 547, 2328, 1614, 3594, 607, 540, 949, 476, 1220, 278, 267, 596, 2811, 2016, 476, 273, 3108, 543, 476, 1428, 3764, 547, 2347, 519, 3594, 630, 10472, 2882, 606, 3063, 476, 1428, 3764, 14311, 585, 2542, 519, 15102, 585, 519, 10282, 1557, 30155, 22913, 3284, 7005, 3332, 543, 5888, 609, 938, 2143, 1576, 1570, 267, 1449, 23824, 4388, 267, 2259, 24200, 267, 543, 2789, 2407, 27480, 2259, 3284, 11400, 596, 666, 1405, 4010, 27655, 1169, 960, 540, 3332, 2429, 1686, 2262, 585, 2262, 267, 855, 2348, 513, 1906, 1134, 7302, 4923, 3515, 13561, 666, 2285, 707, 3594, 519, 6697, 540, 269, 4841, 1224, 1896, 15102, 543, 2626, 2055, 827, 519, 1543, 267, 1106, 267, 543, 2511, 540, 1142, 519, 1863, 268, 24978, 3296, 4255, 1053, 262, 2702, 547, 5659, 543, 4612, 5339, 5931, 676, 21882, 2312, 543, 2500, 3594, 5000, 707, 1053, 547, 3643, 519, 3284, 7005, 3332, 543, 5888, 2875, 2985, 585, 981, 269, 7442, 10378, 7005, 3332, 476, 1220, 277, 18176, 3643, 3284, 25218, 3712, 5076, 4580, 635, 630, 1721, 3284, 4648, 264, 543, 8940, 3712, 5076, 4580, 1260, 270, 777, 29324, 630, 1721, 1053, 543, 3237, 264, 476, 275, 2243, 476, 274, 630, 338, 22658, 476, 280, 1700, 279, 891, 2143, 267, 1134, 27787, 3594, 2697, 513, 2168, 3460, 538, 513, 3209, 267, 1404, 267, 610, 6648, 543, 2491, 7479, 553, 1947, 875, 269, 0, 32487, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 1579, 641, 21358, 521, 12879, 540, 1884, 3415, 269, 589, 334, 274, 1775, 513, 334, 274, 630, 328, 264, 1134, 538, 3159, 543, 1893, 1884, 3415, 543, 1579, 641, 21358, 949, 581, 4330, 607, 513, 8706, 1242, 8106, 1547, 5131, 1557, 281, 1884, 3415, 543, 1579, 641, 21358, 676, 13275, 12335, 538, 12335, 779, 1884, 3415, 543, 1579, 641, 21358, 267, 519, 6881, 543, 1646, 540, 519, 3347, 1851, 563, 12901, 3415, 543, 1579, 641, 21358, 676, 533, 4954, 632, 534, 1884, 3415, 543, 1579, 641, 21358, 729, 2854, 538, 476, 8182, 277, 610, 476, 8182, 278, 855, 7283, 796, 2745, 539, 2394, 519, 1101, 1165, 1470, 1884, 3415, 630, 276, 1724, 276, 268, 2412, 1040, 476, 10204, 279, 736, 1240, 3318, 3594, 593, 1884, 3415, 543, 1579, 641, 21358, 22265, 4081, 2200, 585, 3594, 267, 6780, 543, 1153, 3785, 593, 1884, 3415, 543, 1579, 641, 21358, 269, 476, 15996, 17168, 1428, 7005, 1893, 1557, 910, 3858, 610, 10990, 609, 713, 3948, 602, 1579, 641, 21358, 781, 2648, 585, 1884, 3415, 568, 1360, 1454, 1644, 547, 519, 1379, 646, 6585, 563, 12901, 3415, 543, 1579, 641, 21358, 568, 606, 3140, 13357, 676, 13275, 12335, 1101, 5340, 538, 519, 2038, 476, 8182, 271, 781, 1579, 641, 21358, 267, 835, 540, 519, 1034, 6822, 10631, 633, 2021, 540, 269, 7581, 641, 21358, 22234, 1022, 4162, 267, 799, 26970, 1884, 3415, 543, 4847, 1200, 547, 3136, 1200, 1272, 835, 2460, 568, 1579, 641, 21358, 781, 2702, 547, 1831, 1480, 267, 676, 6029, 269, 5131, 3594, 689, 536, 691, 548, 2421, 1923, 3347, 538, 1884, 3415, 543, 1579, 641, 21358, 1884, 3415, 543, 1579, 641, 21358, 781, 968, 331, 913, 892, 568, 711, 2731, 827, 2648, 693, 782, 741, 5872, 666, 1152, 563, 32487, 593, 1884, 3415, 543, 1579, 641, 21358, 789, 1491, 543, 1579, 641, 520, 6652, 267, 10467, 267, 1382, 4574, 543, 4744, 31277, 3833, 12517, 543, 1557, 607, 789, 543, 723, 2944, 741, 338, 543, 269, 476, 8099, 279, 736, 1240, 1884, 3415, 543, 1579, 641, 21358, 3332, 3594, 616, 4081, 3594, 585, 11239, 891, 4574, 941, 2854, 5097, 676, 1053, 543, 1683, 2565, 2079, 540, 269, 476, 9873, 279, 736, 1240, 4358, 606, 1557, 593, 13275, 12335, 781, 519, 13357, 540, 1884, 3415, 543, 1579, 641, 21358, 10891, 707, 4555, 543, 811, 693, 938, 13561, 1673, 22929, 695, 15879, 641, 1603, 2978, 269, 4165, 3415, 543, 1579, 641, 21358, 713, 1557, 1884, 3415, 543, 1579, 641, 21358, 543, 824, 476, 5038, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 2689, 612, 904, 1260, 269, 476, 15996, 17168, 1428, 1579, 641, 21358, 1185, 1884, 3415, 1931, 519, 952, 596, 616, 519, 3312, 5856, 540, 713, 1557, 543, 1100, 3476, 6999, 547, 723, 519, 1557, 3370, 593, 519, 20410, 3594, 3896, 563, 10403, 1557, 281, 1884, 3415, 543, 1579, 641, 21358, 568, 513, 535, 762, 827, 519, 16160, 546, 7081, 540, 1884, 3415, 781, 1915, 12335, 3096, 4008, 19755, 607, 513, 3926, 547, 9446, 269, 25826, 519, 9342, 543, 12755, 540, 1884, 3415, 543, 1579, 641, 21358, 779, 2078, 543, 519, 607, 621, 729, 547, 1579, 641, 21358, 543, 1884, 3415, 267, 649, 723, 3594, 593, 519, 1739, 269, 10749, 1299, 1603, 10274, 585, 513, 2101, 19005, 2797, 4137, 602, 814, 15468, 538, 2648, 609, 519, 26131, 1014, 15596, 1579, 641, 21358, 1884, 3415, 814, 14460, 1010, 9021, 269, 18366, 568, 513, 2101, 6249, 540, 13275, 12335, 779, 1884, 3415, 543, 1579, 641, 21358, 621, 19674, 538, 1082, 3029, 267, 689, 519, 2797, 4655, 1063, 1665, 1884, 3415, 543, 12354, 822, 3780, 563, 12901, 3415, 543, 1579, 641, 21358, 1353, 3391, 3568, 513, 12092, 540, 13275, 12335, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 269, 4165, 3415, 543, 1579, 641, 21358, 568, 12416, 538, 519, 3337, 540, 12225, 1834, 267, 782, 585, 2648, 568, 12416, 538, 519, 3337, 540, 12416, 630, 9346, 13704, 476, 1626, 264, 713, 10839, 3274, 18304, 909, 519, 2601, 1946, 269, 3367, 593, 547, 3605, 1557, 3584, 602, 3513, 12260, 707, 1053, 3206, 543, 7664, 540, 13275, 12335, 781, 1412, 656, 3415, 543, 1579, 641, 21358, 262, 713, 513, 563, 1607, 13357, 267, 968, 656, 3415, 543, 1579, 641, 21358, 5608, 2854, 676, 13275, 12335, 267, 729, 1101, 9102, 538, 476, 14341, 274, 910, 1884, 3415, 1299, 1579, 641, 21358, 267, 12335, 910, 16320, 3415, 781, 11980, 4367, 269, 3367, 1884, 3415, 543, 1579, 641, 21358, 1863, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 1884, 3415, 543, 1579, 641, 21358, 1884, 3415, 543, 1579, 641, 21358, 538, 519, 1404, 1884, 3415, 543, 1579, 641, 21358, 269, 968, 656, 3415, 543, 1579, 641, 21358, 3584, 543, 1134, 2854, 3594, 9247, 2847, 6295, 1472, 519, 11144, 540, 2078, 1063, 1579, 641, 21358, 543, 1884, 3415, 11783, 0, 293, 518, 27849, 632, 1094, 1380, 675, 543, 519, 2022, 1532, 5979, 558, 7615, 1014, 7293, 1143, 540, 971, 5640, 607, 552, 1872, 2940, 562, 5866, 267, 536, 1716, 731, 1025, 5255, 267, 24636, 561, 911, 3455, 267, 5947, 517, 521, 19401, 25831, 11783, 5403, 3613, 24780, 1143, 568, 2404, 609, 519, 1568, 540, 513, 3126, 540, 4571, 268, 736, 628, 10601, 18008, 267, 18626, 15806, 543, 2565, 28466, 945, 3357, 547, 581, 1634, 269, 23305, 1143, 543, 5339, 9880, 281, 12908, 731, 1024, 8291, 693, 519, 856, 3553, 538, 1010, 1557, 2048, 560, 24780, 1143, 543, 5339, 9880, 536, 3224, 25612, 781, 530, 9801, 532, 15627, 269, 589, 4055, 1510, 2835, 568, 899, 513, 1560, 1510, 9997, 5208, 538, 530, 9801, 532, 15627, 1205, 3095, 3068, 1504, 1000, 7867, 533, 15517, 24440, 266, 4757, 269, 645, 3224, 25612, 267, 530, 9801, 532, 15627, 267, 2013, 2090, 538, 4207, 9880, 14299, 514, 267, 7650, 281, 512, 903, 517, 267, 669, 278, 7293, 1143, 630, 339, 903, 517, 476, 20385, 268, 22001, 264, 7650, 281, 678, 643, 7219, 543, 678, 12505, 27260, 2108, 342, 9801, 532, 15627, 27535, 1016, 887, 21542, 593, 695, 629, 25830, 1178, 29201, 14676, 8039, 630, 332, 1105, 476, 1789, 628, 267, 20410, 760, 10006, 6619, 593, 695, 629, 25830, 1178, 29201, 678, 11701, 7293, 1143, 269, 6732, 1353, 3391, 585, 795, 2033, 2363, 516, 281, 607, 1299, 513, 273, 267, 8658, 1299, 2565, 9840, 2261, 343, 626, 9880, 269, 1546, 18586, 910, 3332, 12190, 13132, 2022, 3613, 24780, 1143, 519, 16750, 538, 530, 9801, 532, 15627, 543, 922, 563, 288, 7293, 626, 1935, 547, 519, 2239, 2497, 540, 530, 9801, 532, 15627, 519, 3889, 540, 530, 9801, 532, 15627, 579, 750, 532, 15627, 269, 23305, 1143, 543, 5033, 7821, 15292, 476, 272, 267, 15594, 1603, 267, 4775, 2542, 1299, 530, 9801, 532, 15627, 17643, 4555, 269, 634, 8613, 1397, 3294, 10525, 22158, 267, 7293, 1143, 267, 543, 14447, 543, 24139, 9880, 519, 14524, 531, 1920, 538, 536, 3224, 25612, 779, 530, 9801, 532, 15627, 1557, 269, 14667, 11487, 974, 267, 530, 9801, 532, 15627, 1352, 3370, 1200, 1152, 3209, 267, 530, 9801, 532, 15627, 267, 519, 1433, 1034, 9244, 1219, 625, 2022, 3613, 24780, 1143, 15545, 11120, 738, 611, 632, 2083, 657, 1993, 383, 491, 320, 586, 1577, 6652, 1178, 4777, 632, 1609, 644, 3930, 3824, 956, 525, 476, 1001, 276, 270, 1626, 1032, 2022, 3613, 24780, 1143, 543, 13220, 476, 273, 281, 900, 1176, 536, 3224, 25612, 267, 530, 9801, 532, 15627, 476, 1015, 563, 268, 2596, 3604, 1063, 7293, 1143, 543, 2022, 910, 2596, 3604, 1063, 7293, 1143, 543, 968, 6343, 568, 632, 18586, 892, 530, 9801, 532, 15627, 15545, 2160, 540, 1608, 12827, 3279, 8257, 540, 7005, 530, 9801, 532, 15627, 270, 1347, 19714, 11487, 974, 281, 5378, 322, 3559, 535, 537, 322, 5435, 2022, 268, 7293, 1143, 609, 4704, 547, 269, 23305, 1143, 543, 632, 18586, 1070, 13865, 630, 322, 8590, 1570, 1143, 543, 1007, 2351, 6291, 267, 13598, 267, 530, 9801, 532, 15627, 2261, 15925, 562, 1380, 29231, 267, 968, 342, 9801, 532, 15627, 281, 519, 269, 654, 11770, 11921, 1112, 6851, 519, 4116, 2528, 9352, 1727, 657, 1431, 543, 519, 1523, 540, 2648, 538, 530, 340, 17518, 15627, 543, 512, 612, 540, 519, 546, 685, 584, 828, 341, 14792, 530, 9801, 532, 15627, 11783, 21909, 539, 13220, 585, 519, 6067, 689, 6101, 1143, 547, 2022, 3613, 24780, 1143, 3138, 529, 512, 903, 517, 281, 2565, 3069, 2221, 281, 530, 9801, 532, 15627, 563, 17457, 1143, 5288, 2022, 7116, 523, 1143, 910, 4647, 6101, 1143, 5288, 7293, 1143, 1634, 607, 2686, 1570, 1143, 2908, 2351, 6291, 4294, 547, 530, 9801, 532, 15627, 1007, 269, 9894, 9836, 3046, 321, 629, 553, 23240, 1557, 530, 9801, 532, 15627, 936, 4818, 839, 622, 741, 1298, 340, 680, 657, 676, 1449, 4328, 1169, 3781, 1281, 5098, 1603, 2533, 737, 541, 25764, 1250, 8328, 818, 11803, 269, 2296, 22678, 630, 327, 976, 264, 1032, 1079, 13838, 267, 1153, 540, 23408, 267, 632, 1395, 339, 3228, 6280, 630, 323, 14153, 1070, 682, 1182, 614, 267, 20410, 269, 634, 554, 895, 540, 519, 1666, 330, 969, 14792, 12388, 525, 1079, 606, 4367, 547, 519, 554, 895, 540, 519, 530, 9801, 532, 15627, 689, 900, 1176, 11487, 974, 779, 3209, 540, 519, 1482, 2012, 543, 563, 763, 1292, 5383, 540, 519, 7293, 1315, 21342, 21038, 616, 519, 25836, 476, 272, 9723, 795, 2158, 476, 272, 530, 536, 9493, 1846, 476, 272, 13275, 4154, 532, 476, 273, 13275, 1913, 10290, 476, 273, 530, 9801, 532, 15627, 476, 272, 269, 634, 1007, 1888, 530, 9801, 532, 15627, 20947, 1557, 568, 835, 540, 519, 1034, 547, 5404, 9469, 267, 795, 2033, 533, 5467, 268, 24978, 9880, 281, 689, 6101, 1143, 547, 2022, 3613, 24780, 1143, 2545, 339, 20095, 269, 968, 1348, 518, 892, 538, 795, 2033, 2363, 516, 676, 689, 6101, 1143, 547, 2022, 3613, 24780, 1143, 1909, 540, 519, 1936, 622, 324, 538, 513, 3209, 799, 1131, 581, 900, 1176, 536, 3224, 25612, 779, 530, 9801, 532, 15627, 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 ]
[ 524, 6600, 3738, 610, 533, 17337, 1169, 8107, 384, 376, 12953, 382, 481, 2615, 540, 535, 476, 5953, 382, 486, 1765, 1547, 1809, 535, 476, 5953, 382, 486, 1765, 568, 454, 27146, 1438, 267, 865, 602, 533, 17337, 524, 6600, 16532, 8754, 533, 17337, 524, 6600, 3738, 322, 14116, 1040, 1284, 9959, 602, 524, 6600, 575, 264, 17337, 454, 322, 6600, 3738, 322, 14116, 1070, 543, 519, 1267, 5205, 269, 476, 5953, 12814, 28462, 692, 273, 269, 280, 269, 275, 4856, 3326, 776, 540, 519, 19577, 540, 630, 273, 269, 280, 269, 274, 994, 2252, 554, 568, 513, 1875, 6247, 656, 9971, 538, 667, 314, 311, 316, 543, 554, 815, 513, 327, 5953, 382, 486, 1765, 1141, 554, 5953, 382, 486, 1765, 568, 18642, 543, 513, 476, 5953, 382, 486, 382, 486, 667, 2676, 6533, 513, 1590, 581, 519, 1543, 540, 554, 780, 27893, 269, 4595, 513, 17337, 1169, 8107, 384, 376, 12953, 382, 481, 2615, 540, 554, 267, 513, 1590, 7941, 524, 22607, 1040, 1403, 533, 568, 1022, 6305, 3815, 454, 1993, 524, 22607, 1070, 1287, 533, 17337, 1169, 8107, 384, 376, 12953, 382, 481, 2615, 540, 513, 327, 5953, 382, 486, 1765, 2073, 543, 607, 538, 630, 273, 269, 280, 269, 274, 1070, 2901, 533, 17337, 513, 610, 454, 335, 17337, 1169, 8107, 384, 376, 12953, 382, 481, 2615, 540, 554, 5953, 382, 486, 1765, 2073, 799, 568, 7543, 676, 2215, 6638, 540, 554, 5953, 382, 486, 1765, 1547, 4935, 524, 22607, 994, 323, 1204, 525, 513, 267, 543, 519, 1267, 5205, 269, 476, 5953, 12814, 28462, 692, 3682, 6570, 476, 273, 269, 280, 269, 273, 11729, 513, 5730, 3948, 9236, 9048, 3027, 2225, 936, 667, 609, 3352, 8894, 516, 3027, 2225, 936, 674, 16317, 273, 269, 280, 269, 276, 1160, 6570, 454, 4131, 667, 581, 513, 2189, 26458, 6389, 609, 23479, 17487, 376, 12953, 382, 479, 15505, 674, 1547, 1403, 535, 568, 513, 1875, 6247, 656, 454, 31673, 8662, 538, 667, 314, 311, 3910, 1287, 535, 568, 9048, 3027, 1043, 936, 667, 952, 543, 1152, 952, 535, 568, 18642, 543, 9048, 3027, 1043, 454, 1478, 674, 16317, 27893, 269, 1403, 535, 568, 9048, 3027, 1043, 936, 667, 267, 1287, 535, 568, 9048, 3027, 1043, 936, 674, 676, 630, 273, 269, 280, 269, 273, 1040, 1403, 535, 568, 711, 454, 27146, 1438, 267, 1287, 535, 815, 524, 6600, 3738, 325, 476, 5953, 382, 486, 1765, 1141, 535, 476, 5953, 382, 486, 1765, 568, 18642, 543, 524, 6600, 3738, 568, 711, 513, 1770, 269, 901, 17591, 338, 454, 1492, 9048, 3027, 2225, 540, 535, 936, 667, 269, 17957, 267, 952, 535, 815, 575, 327, 568, 513, 26458, 540, 519, 18642, 454, 31673, 8662, 535, 936, 667, 267, 1287, 575, 543, 554, 1590, 581, 540, 4110, 693, 2547, 476, 272, 269, 4935, 9444, 575, 6862, 554, 568, 454, 320, 1770, 538, 674, 1496, 311, 3910, 865, 535, 815, 575, 327, 568, 513, 26458, 540, 535, 936, 674, 1547, 476, 5953, 12814, 28462, 692, 2080, 568, 1776, 2596, 3498, 540, 630, 273, 269, 280, 269, 273, 6393, 273, 269, 280, 269, 277, 14497, 454, 2252, 681, 568, 513, 2189, 26458, 6389, 267, 865, 568, 681, 314, 311, 316, 780, 27893, 269, 1403, 535, 476, 5953, 382, 486, 382, 486, 681, 314, 311, 3910, 535, 815, 476, 271, 267, 1287, 535, 666, 581, 1249, 1819, 936, 519, 23479, 17487, 376, 12953, 382, 479, 15505, 674, 607, 535, 21591, 325, 272, 535, 273, 1547, 1547, 1547, 535, 330, 2073, 1141, 519, 535, 328, 616, 9048, 3027, 1043, 21335, 538, 674, 1496, 311, 4940, 630, 13434, 718, 602, 674, 1496, 311, 316, 568, 513, 454, 292, 16090, 22470, 6389, 267, 8754, 513, 2189, 26458, 6389, 4700, 1635, 630, 273, 269, 280, 269, 273, 1070, 585, 930, 1875, 14706, 454, 384, 359, 14872, 272, 476, 5953, 382, 486, 382, 486, 674, 649, 949, 2328, 535, 815, 630, 384, 359, 14872, 272, 535, 272, 3738, 263, 384, 359, 14872, 5953, 382, 486, 685, 272, 535, 273, 1547, 1547, 1547, 535, 330, 3738, 609, 17487, 359, 14872, 272, 535, 272, 543, 17487, 359, 14872, 5953, 382, 486, 685, 272, 535, 273, 1547, 1547, 1547, 535, 330, 538, 681, 314, 311, 4940, 11088, 454, 272, 476, 272, 454, 2421, 630, 273, 269, 280, 269, 273, 1070, 649, 723, 692, 384, 359, 14872, 5953, 382, 486, 685, 272, 535, 273, 1547, 1547, 1547, 535, 330, 815, 535, 273, 17487, 359, 14872, 5953, 382, 486, 685, 272, 535, 274, 1547, 1547, 1547, 535, 330, 815, 630, 384, 359, 14872, 273, 535, 273, 3738, 263, 384, 359, 14872, 5953, 382, 486, 685, 272, 17487, 359, 14872, 5953, 382, 486, 685, 272, 535, 274, 1547, 1547, 1547, 535, 330, 12467, 272, 476, 272, 476, 273, 476, 272, 454, 273, 269, 280, 269, 16843, 305, 3633, 308, 5746, 25770, 623, 5357, 312, 301, 6865, 24361, 306, 476, 3451, 692, 5976, 17487, 359, 14872, 273, 535, 273, 543, 17487, 359, 14872, 5953, 382, 486, 685, 272, 17487, 359, 14872, 5953, 382, 486, 685, 272, 535, 274, 1547, 1547, 1547, 535, 330, 476, 5953, 382, 486, 382, 486, 681, 314, 311, 4940, 8033, 5224, 32366, 1947, 267, 649, 2769, 535, 607, 1775, 284, 272, 17487, 359, 14872, 328, 535, 328, 454, 330, 454, 273, 476, 272, 454, 3602, 519, 17487, 359, 14872, 328, 535, 328, 616, 538, 681, 314, 311, 316, 543, 616, 9048, 3027, 1043, 936, 674, 1547, 1809, 17487, 359, 14872, 328, 535, 328, 568, 519, 1587, 540, 922, 454, 20880, 543, 513, 18642, 9971, 630, 6518, 568, 9048, 3027, 1043, 936, 674, 2073, 8754, 936, 681, 676, 630, 273, 269, 280, 269, 276, 264, 1916, 13010, 267, 519, 1543, 568, 2901, 513, 1770, 610, 513, 1587, 540, 9048, 3027, 1043, 2609, 540, 519, 772, 293, 291, 454, 305, 267, 543, 891, 2609, 616, 9048, 3027, 1043, 538, 681, 314, 311, 316, 607, 1134, 269, 901, 20964, 519, 6228, 540, 513, 454, 26476, 1436, 883, 9048, 3027, 17156, 563, 3086, 15475, 602, 535, 815, 575, 272, 17487, 478, 6440, 17487, 478, 6440, 17487, 478, 6440, 1989, 815, 554, 272, 17487, 478, 6440, 17487, 478, 6440, 17487, 478, 6440, 554, 338, 2073, 1141, 519, 19819, 543, 28624, 616, 1875, 6247, 656, 454, 597, 516, 3027, 1043, 21335, 538, 681, 314, 311, 4940, 630, 17746, 656, 21335, 2014, 1100, 1019, 384, 376, 12953, 382, 481, 322, 8372, 1317, 681, 568, 454, 320, 772, 293, 291, 4700, 1635, 630, 273, 269, 280, 269, 276, 1070, 519, 19819, 543, 28624, 616, 9048, 3027, 1043, 936, 674, 2073, 543, 2094, 674, 1496, 311, 316, 568, 513, 772, 293, 291, 267, 649, 454, 17647, 678, 815, 521, 543, 267, 1310, 556, 867, 1359, 952, 2556, 267, 19819, 543, 28624, 616, 27498, 630, 514, 674, 1496, 311, 8079, 585, 1142, 454, 328, 269, 3767, 19819, 815, 524, 328, 28624, 585, 930, 3586, 524, 328, 476, 5953, 382, 486, 382, 486, 674, 2073, 543, 649, 723, 524, 328, 815, 513, 328, 1315, 6798, 609, 513, 328, 2073, 1979, 476, 5953, 382, 486, 382, 486, 681, 269, 4935, 454, 6798, 19819, 815, 513, 328, 28624, 2073, 609, 19819, 543, 28624, 18642, 676, 630, 273, 269, 280, 269, 276, 1040, 1635, 630, 273, 269, 280, 269, 275, 1070, 1979, 19819, 814, 1543, 1979, 543, 513, 328, 28624, 454, 13757, 1543, 513, 328, 1547, 4475, 513, 328, 543, 1979, 616, 27498, 267, 799, 2306, 524, 328, 513, 1770, 538, 681, 267, 799, 538, 454, 339, 1248, 2306, 19819, 543, 28624, 27498, 538, 681, 314, 311, 3910, 18445, 22464, 540, 26458, 269, 476, 5953, 12814, 28462, 692, 763, 1739, 1267, 568, 1419, 1031, 547, 3715, 9048, 3027, 2225, 540, 513, 9971, 780, 273, 269, 280, 269, 278, 29276, 7322, 5953, 19050, 12814, 338, 7054, 516, 3027, 2225, 7600, 19118, 454, 4131, 681, 581, 513, 772, 293, 291, 609, 23479, 17487, 376, 12953, 382, 479, 15505, 674, 2073, 543, 1577, 535, 630, 311, 264, 815, 606, 2473, 562, 1341, 17487, 478, 6440, 17487, 478, 6440, 17487, 478, 6440, 1341, 513, 272, 2473, 1341, 513, 271, 581, 513, 454, 31673, 8662, 538, 681, 314, 311, 3910, 609, 562, 476, 5953, 382, 487, 587, 508, 476, 272, 543, 606, 815, 476, 271, 269, 1403, 533, 568, 6305, 538, 681, 543, 533, 17337, 513, 328, 585, 454, 271, 476, 5953, 382, 487, 382, 353, 1775, 2999, 562, 267, 855, 533, 1281, 711, 7941, 606, 543, 533, 273, 1281, 711, 7941, 513, 271, 2073, 1287, 535, 568, 9048, 3027, 1043, 936, 454, 293, 1547, 4935, 676, 630, 273, 269, 280, 269, 276, 1070, 952, 535, 568, 18642, 1287, 535, 568, 9048, 3027, 1043, 936, 681, 780, 27893, 269, 1403, 649, 7941, 535, 676, 922, 1543, 547, 3132, 513, 18642, 9971, 535, 476, 5953, 382, 486, 1765, 2073, 519, 8367, 454, 560, 650, 6585, 585, 535, 476, 5953, 382, 486, 1765, 1547, 630, 7712, 533, 1281, 711, 7941, 606, 2073, 621, 568, 711, 513, 6305, 3815, 540, 524, 6600, 16532, 865, 621, 1590, 454, 15965, 728, 519, 476, 603, 8107, 384, 376, 12953, 382, 481, 2615, 540, 535, 476, 5953, 382, 486, 1765, 585, 476, 271, 476, 5953, 382, 487, 382, 353, 1775, 2999, 562, 4700, 1403, 649, 666, 6961, 602, 535, 476, 5953, 382, 486, 1765, 568, 9048, 3027, 1043, 454, 1478, 681, 267, 1287, 676, 630, 273, 269, 280, 269, 276, 1070, 535, 476, 5953, 382, 486, 1765, 568, 9048, 3027, 1043, 936, 674, 2073, 543, 4061, 865, 568, 535, 1547, 4935, 649, 949, 454, 817, 2541, 1510, 2530, 540, 1252, 1275, 602, 535, 568, 18642, 267, 543, 6961, 602, 535, 568, 9048, 3027, 1043, 454, 1478, 681, 563, 10112, 2541, 602, 535, 815, 575, 327, 267, 609, 575, 11583, 264, 815, 575, 271, 1341, 384, 478, 6440, 17487, 478, 6440, 17487, 478, 6440, 266, 23950, 2473, 678, 543, 554, 11583, 264, 815, 554, 271, 1341, 384, 478, 6440, 17487, 478, 6440, 17487, 478, 6440, 266, 26387, 2473, 521, 1547, 1403, 678, 815, 476, 271, 454, 6533, 575, 271, 17337, 782, 8107, 384, 376, 12953, 382, 481, 857, 757, 513, 328, 540, 535, 2073, 865, 575, 271, 17337, 524, 6600, 16532, 8754, 575, 263, 284, 575, 271, 3738, 568, 513, 1770, 269, 4935, 649, 454, 16673, 8263, 602, 678, 476, 5953, 382, 487, 587, 508, 476, 272, 267, 543, 13974, 521, 476, 5953, 382, 487, 587, 508, 476, 272, 269, 1635, 8367, 267, 533, 17337, 513, 271, 815, 575, 271, 554, 271, 855, 533, 273, 454, 323, 3996, 711, 7941, 513, 271, 2073, 865, 533, 3112, 7941, 1312, 575, 271, 543, 554, 271, 1547, 27539, 602, 533, 14543, 547, 7941, 554, 271, 31377, 810, 602, 533, 17337, 575, 271, 6902, 519, 4661, 568, 27101, 538, 519, 824, 2013, 269, 3767, 1989, 554, 338, 815, 606, 2073, 543, 454, 2421, 8367, 267, 533, 1281, 711, 7941, 606, 2073, 865, 602, 533, 1281, 711, 7941, 1989, 1547, 2913, 1775, 581, 519, 10545, 454, 15759, 518, 971, 602, 533, 1281, 711, 7941, 19819, 6902, 1287, 476, 272, 476, 5953, 382, 487, 382, 353, 1775, 476, 5953, 382, 487, 382, 353, 678, 2999, 562, 630, 26238, 678, 1341, 521, 815, 562, 543, 521, 476, 5953, 382, 487, 587, 508, 476, 272, 1916, 3086, 692, 2967, 815, 575, 271, 28624, 1341, 575, 272, 28624, 5953, 382, 486, 685, 272, 1341, 17487, 478, 6440, 17487, 478, 6440, 17487, 478, 6440, 1341, 19819, 554, 271, 692, 663, 676, 3903, 540, 1775, 267, 533, 17337, 575, 271, 2073, 1547, 1547, 1547, 2073, 19819, 5953, 382, 486, 685, 272, 1547, 1809, 533, 17337, 519, 3003, 2040, 513, 328, 2073, 865, 533, 1590, 7941, 454, 1492, 2063, 2165, 19819, 554, 271, 1547, 9182, 267, 2901, 533, 17337, 19819, 2073, 799, 17591, 338, 519, 3903, 540, 1775, 267, 610, 454, 335, 17337, 554, 271, 2073, 799, 17591, 338, 938, 4505, 13429, 269, 4935, 972, 666, 581, 1100, 26458, 454, 1993, 535, 607, 513, 1587, 540, 21335, 540, 2539, 4110, 282, 538, 824, 1913, 267, 535, 568, 9048, 3027, 1043, 936, 681, 269, 476, 5953, 12814, 28462, 454, 4097, 32516, 476, 273, 269, 681, 5058, 674, 26685, 4456, 7728, 28940, 692, 3682, 21793, 1280, 8791, 476, 273, 269, 280, 454, 272, 269, 630, 763, 7787, 3597, 1449, 267, 799, 666, 581, 3730, 538, 28809, 513, 9971, 936, 1627, 8094, 4131, 535, 630, 311, 264, 815, 606, 2473, 562, 1341, 17487, 478, 6440, 17487, 478, 6440, 17487, 478, 6440, 1341 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1219, 18807, 7272, 817, 4311, 267, 13506, 2187, 1038, 1948, 1763, 327, 1901, 19017, 13506, 883, 6241, 3337, 454, 1038, 13506, 815, 13506, 6745, 4920, 2821, 263, 272, 267, 476, 273, 267, 476, 274, 267, 476, 271, 1040, 31412, 4311, 8542, 6958, 559, 1562, 267, 910, 272, 2020, 1038, 952, 1582, 6745, 1778, 762, 912, 2018, 1948, 6875, 12297, 1587, 1063, 6241, 8032, 7213, 269, 13506, 543, 6241, 3337, 454, 2018, 1948, 4494, 3403, 547, 3313, 519, 13506, 693, 519, 4494, 609, 2463, 547, 4494, 12035, 454, 2018, 5552, 16062, 815, 13506, 31715, 4311, 11859, 22674, 11053, 1040, 31412, 4311, 9884, 17482, 994, 2018, 1948, 634, 13506, 609, 2463, 547, 9186, 2474, 568, 519, 2040, 13974, 547, 538, 667, 1619, 4494, 454, 2018, 5552, 16062, 271, 815, 5286, 27904, 14116, 2784, 1304, 267, 7852, 284, 272, 267, 1832, 323, 15501, 18989, 2020, 2018, 1948, 22352, 519, 6106, 12035, 454, 2018, 1582, 9884, 815, 1582, 9884, 318, 9953, 269, 26303, 4311, 9884, 267, 5552, 16062, 994, 2018, 1582, 9884, 271, 815, 1582, 9884, 271, 318, 9953, 269, 26303, 4311, 9884, 271, 267, 5552, 16062, 271, 2020, 1038, 1948, 5589, 531, 1529, 622, 519, 13506, 799, 786, 581, 4412, 690, 730, 1394, 547, 7173, 269, 4494, 454, 1038, 13506, 815, 1582, 9884, 22674, 11053, 31715, 14116, 2784, 1304, 994, 1038, 1948, 1763, 327, 1901, 689, 6241, 3337, 547, 3239, 3337, 454, 1038, 13506, 815, 6241, 15461, 318, 13548, 14116, 2784, 1304, 2676, 14030, 567, 1582, 7456, 9707, 17750, 17482, 2676, 14030, 567, 1582, 8807, 559, 614, 318, 27729, 2676, 14030, 567, 1193, 728, 284, 1345, 269, 1598, 728, 2676, 14030, 567, 3977, 318, 27729, 284, 1345, 4877, 32061, 2020, 1038, 2132, 13506, 692, 825, 1219, 3977, 318, 27729, 4311, 2187, 1038, 9055, 267, 4463, 267, 8700, 815, 1582, 269, 6358, 318, 27729, 454, 1038, 14950, 20189, 267, 14950, 16062, 815, 3313, 7272, 32061, 18692, 2018, 1582, 8807, 559, 614, 318, 27729, 267, 3977, 318, 27729, 284, 1345, 4877, 32061, 994, 1038, 3977, 318, 19417, 815, 630, 19417, 1341, 5286, 27904, 9638, 611, 20189, 264, 20620, 4449, 1363, 1582, 8807, 559, 614, 318, 27729, 314, 271, 8079, 1315, 1582, 269, 1598, 728, 1341, 476, 272, 454, 1038, 3977, 318, 12296, 815, 630, 12296, 1341, 5286, 27904, 9638, 611, 16062, 264, 20620, 13376, 1582, 8807, 559, 614, 318, 27729, 314, 272, 8079, 1315, 1582, 269, 1598, 728, 1341, 476, 272, 454, 1038, 2132, 1582, 8542, 6958, 559, 1562, 267, 703, 263, 16059, 318, 19417, 1070, 703, 263, 16059, 318, 12296, 9239, 716, 10474, 6958, 17313, 815, 13634, 825, 834, 516, 1663, 9899, 1234, 299, 308, 2676, 825, 834, 338, 31451, 9899, 590, 31451, 2676, 825, 834, 7809, 10946, 9899, 9941, 10946, 2676, 825, 834, 548, 21294, 23631, 1663, 9899, 2274, 21294, 3725, 299, 308, 2676, 825, 834, 11927, 327, 9899, 18000, 295, 2676, 348, 7531, 5035, 2920, 10474, 27331, 9707, 2187, 825, 5727, 288, 4494, 602, 10039, 606, 11852, 5106, 547, 519, 3403, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 269, 716, 10474, 6958, 15635, 815, 11852, 6958, 17313, 314, 4067, 316, 4590, 1038, 1582, 6745, 1778, 762, 815, 6936, 692, 825, 1219, 4494, 12173, 4311, 2187, 1038, 2132, 1582, 269, 716, 10474, 6958, 15635, 14857, 5035, 1029, 14857, 4067, 1029, 692, 825, 1219, 4464, 7272, 817, 4311, 267, 1535, 267, 2866, 18989, 2187, 1038, 1582, 7456, 9707, 17750, 815, 1535, 454, 1038, 2132, 1582, 269, 716, 10474, 6958, 15635, 3287, 2020, 825, 1219, 18807, 7272, 817, 4311, 267, 13506, 2187, 1038, 2132, 13506, 2608, 1582, 269, 716, 10474, 6958, 15635, 3052, 2784, 1304, 4311, 7456, 9707, 17750, 2020, 825, 1219, 3977, 318, 27729, 4311, 2187, 1038, 2132, 1582, 269, 6358, 318, 27729, 7531, 5035, 29100, 719, 27331, 9707, 2187, 825, 5727, 288, 4494, 602, 14477, 5036, 513, 6824, 533, 263, 15615, 264, 540, 519, 3977, 4559, 540, 519, 3105, 4494, 454, 825, 547, 4642, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 533, 284, 271, 269, 273, 2187, 1038, 1582, 4877, 815, 533, 454, 1038, 1582, 6745, 1778, 762, 815, 6936, 454, 1038, 1582, 11519, 332, 2532, 815, 7183, 454, 1038, 1582, 269, 6358, 318, 27729, 815, 7183, 454, 1038, 1582, 8542, 318, 28493, 815, 7183, 454, 1038, 1582, 4877, 817, 318, 10843, 815, 6936, 692, 825, 1219, 4464, 7272, 817, 4311, 267, 1535, 267, 2866, 18989, 2187, 1038, 524, 815, 630, 272, 910, 1582, 4877, 994, 1038, 952, 2866, 912, 2018, 1582, 11519, 332, 2532, 815, 5286, 20179, 26509, 6134, 4433, 1125, 24210, 17482, 264, 3436, 1582, 4877, 454, 2018, 524, 815, 1582, 11519, 332, 2532, 454, 1038, 2132, 1535, 2608, 524, 692, 825, 1219, 18807, 7272, 817, 4311, 267, 13506, 2187, 1038, 2132, 13506, 2608, 1582, 11519, 332, 2532, 692, 825, 1219, 3977, 318, 27729, 4311, 2187, 1038, 2132, 1582, 269, 6358, 318, 27729, 7531, 5035, 25065, 1084, 27331, 9707, 2187, 825, 5727, 307, 5281, 513, 17326, 7645, 5119, 883, 1079, 8820, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 3403, 318, 27729, 22561, 2187, 1038, 1582, 269, 6358, 318, 27729, 815, 3403, 318, 27729, 454, 1038, 1582, 6745, 1778, 762, 815, 6936, 454, 1038, 1582, 269, 2181, 341, 318, 27729, 815, 7183, 692, 825, 1219, 4464, 7272, 817, 4311, 267, 1535, 267, 2866, 18989, 2187, 1038, 1582, 269, 2181, 341, 318, 27729, 815, 1535, 17482, 454, 1038, 2132, 1535, 269, 31412, 9230, 343, 17482, 314, 271, 3910, 910, 272, 11723, 825, 1219, 18807, 7272, 817, 4311, 267, 13506, 2187, 1038, 2132, 13506, 269, 31412, 4311, 269, 2181, 341, 318, 27729, 2020, 825, 1219, 3977, 318, 27729, 4311, 2187, 1038, 2132, 630, 12639, 269, 2889, 323, 4311, 269, 6358, 318, 27729, 1070, 9239, 5035, 1763, 327, 1901, 27331, 9707, 2187, 825, 5727, 4910, 327, 16747, 519, 3403, 21723, 883, 9138, 3337, 563, 825, 3337, 2433, 24042, 454, 1038, 634, 3337, 799, 519, 3403, 4927, 581, 18534, 9464, 547, 563, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 3337, 267, 3403, 318, 27729, 22561, 2187, 1038, 1582, 269, 6358, 318, 27729, 815, 3403, 318, 27729, 454, 1038, 1582, 17482, 815, 3337, 454, 1038, 1582, 6745, 1778, 762, 815, 6936, 454, 1038, 1582, 269, 2181, 341, 318, 27729, 815, 7183, 692, 825, 1219, 4464, 7272, 817, 4311, 267, 1535, 267, 2866, 18989, 2187, 1038, 1582, 269, 2181, 341, 318, 27729, 815, 1535, 17482, 454, 1038, 2132, 1535, 269, 31412, 9230, 343, 17482, 314, 271, 3910, 3738, 1341, 1582, 17482, 2020, 825, 1219, 18807, 7272, 817, 4311, 267, 13506, 2187, 1038, 2132, 13506, 269, 31412, 4311, 269, 2181, 341, 318, 27729, 2020, 825, 1219, 3977, 318, 27729, 4311, 2187, 1038, 2132, 1582, 17482, 7531, 5035, 645, 2255, 31863, 1436, 27331, 9707, 2187, 825, 5727, 289, 2255, 3339, 1436, 20701, 825, 1219, 6449, 8181, 9191, 1345, 267, 11610, 284, 271, 269, 4200, 2187, 1038, 1582, 6230, 30291, 636, 815, 11610, 454, 1038, 1582, 6745, 1778, 762, 815, 6936, 454, 1038, 1582, 269, 10134, 815, 476, 271, 269, 4905, 454, 1038, 1582, 25331, 7342, 318, 11743, 815, 7183, 454, 1038, 1582, 25331, 7342, 318, 12534, 815, 7183, 692, 825, 1219, 3355, 1125, 4311, 267, 5688, 6500, 2187, 1038, 1582, 3052, 10397, 815, 5286, 269, 2158, 4311, 269, 6358, 318, 27729, 994, 1038, 1582, 12500, 9508, 815, 5286, 25910, 4311, 269, 6358, 318, 27729, 994, 1038, 1582, 3052, 10397, 318, 9953, 815, 5299, 6983, 4878, 263, 9953, 574, 6500, 994, 1038, 1582, 12500, 9508, 318, 9953, 815, 5299, 6983, 4878, 263, 9953, 574, 6500, 2020, 825, 1219, 6724, 4311, 2187, 1038, 2132, 5286, 269, 2889, 323, 4311, 3052, 10397, 17482, 264, 1341, 5286, 269, 2889, 323, 4311, 12500, 9508, 17482, 2020, 825, 1219, 4464, 7272, 817, 4311, 267, 1535, 267, 2866, 18989, 2187, 1038, 1948, 19461, 1125, 4881, 1611, 543, 13065, 952, 1101, 2196, 454, 1038, 952, 1582, 25331, 7342, 318, 11743, 568, 7183, 912, 2018, 1582, 25331, 7342, 318, 11743, 815, 5286, 32557, 3287, 267, 7852, 284, 271, 994, 2018, 1582, 25331, 7342, 318, 12534, 815, 5286, 269, 12534, 3287, 267, 7852, 284, 271, 2020, 1038, 952, 2866, 543, 1582, 6745, 1778, 762, 912, 2018, 1611, 815, 5286, 32557, 3287, 267, 7852, 284, 271, 994, 2018, 15254, 815, 5286, 269, 12534, 3287, 267, 7852, 284, 271, 994, 2018, 1582, 25331, 7342, 318, 11743, 815, 1582, 6230, 30291, 636, 2608, 26444, 3546, 1582, 25331, 7342, 318, 11743, 1341, 630, 272, 910, 1582, 6230, 30291, 636, 264, 2608, 1611, 454, 2018, 1582, 25331, 7342, 318, 12534, 815, 1582, 6230, 30291, 636, 2608, 26444, 3546, 1582, 25331, 7342, 318, 12534, 1341, 630, 272, 910, 1582, 6230, 30291, 636, 264, 2608, 15254, 454, 1038, 3116, 912, 2018, 1611, 815, 1582, 25331, 7342, 318, 11743, 454, 2018, 15254, 815, 1582, 25331, 7342, 318, 12534, 692, 1038, 1948, 10803, 10710, 585, 18807, 1780, 454, 1038, 1582, 11859, 318, 1417, 1229, 815, 1535, 910, 1611, 454, 1038, 1582, 14714, 323, 22563, 18425, 341, 815, 476, 272, 1315, 5286, 28460, 263, 12534, 1341, 1582, 269, 10134, 994, 1038, 1535, 5332, 768, 815, 1582, 11859, 318, 1417, 1229, 2608, 1582, 14714, 323, 22563, 18425, 341, 454, 1038, 3977, 815, 1582, 3052, 10397, 2608, 1535, 5332, 768, 1341, 1582, 12500, 9508, 692, 1038, 2132, 3977, 692, 825, 1219, 18807, 7272, 817, 4311, 267, 13506, 2187, 1038, 18325, 815, 1582, 3052, 10397, 454, 1038, 952, 1582, 6745, 1778, 762, 912, 2018, 1535, 5332, 768, 815, 1582, 11859, 318, 1417, 1229, 2608, 1582, 14714, 323, 22563, 18425, 341, 454, 2018, 5552, 14682, 10397, 815, 5286, 27904, 14116, 2784, 1304, 2608, 1535, 5332, 768, 267, 7852, 284, 271, 994, 2018, 5552, 10734, 9508, 815, 5286, 27904, 14116, 2784, 1304, 267, 7852, 284, 271, 994, 2018, 1582, 3052, 10397, 815, 1582, 3052, 10397, 318, 9953, 269, 26303, 4311, 3052, 10397, 267, 5552, 14682, 10397, 994, 2018, 1582, 12500, 9508, 815, 1582, 12500, 9508, 318, 9953, 269, 26303, 4311, 12500, 9508, 267, 5552, 10734, 9508, 994, 1038, 16801, 15481, 815, 13506, 17482, 314, 271, 6540, 1038, 1948, 634, 13506, 540, 519, 2530, 609, 2463, 547, 519, 4494, 11378, 563, 1038, 13506, 815, 630, 272, 1315, 16801, 15481, 264, 2608, 18325, 2608, 1582, 14714, 323, 22563, 18425, 341, 2608, 27210, 2018, 16801, 15481, 2608, 13506, 454, 2018, 910, 5286, 27904, 14116, 2784, 1304, 267, 7852, 284, 271, 994, 2018, 910, 1582, 11859, 318, 1417, 1229, 2608, 1582, 14714, 323, 22563, 18425, 341, 1262, 273, 27661, 2018, 5286, 27904, 14116, 2784, 1304, 2608, 1582, 11859, 318, 1417, 1229, 267, 7852, 284, 271, 11723, 1038, 2132, 13506, 692, 825, 1219, 3977, 318, 27729, 4311, 2187, 1038, 2132, 1582, 269, 6358, 318, 27729, 7531, 5035, 5455, 21579, 7204, 273, 291, 27331, 9707, 2187, 825, 5727, 10000, 10386, 540, 519, 3403, 28197, 519, 9343, 543, 454, 825, 9587, 540, 519, 1239, 27969, 692, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 14352, 273, 267, 476, 273, 1070, 3403, 318, 27729, 22561, 2187, 1038, 1582, 269, 2181, 341, 318, 27729, 815, 7183, 454, 1038, 1582, 6745, 1778, 762, 815, 6936, 454, 1038, 1582, 25915, 815, 2450, 454, 1038, 1582, 269, 6358, 318, 27729, 815, 3403, 318, 27729, 692, 825, 1219, 4464, 7272, 817, 4311, 267, 1535, 267, 2866, 18989, 2187, 1038, 1582, 269, 2181, 341, 318, 27729, 815, 1535, 17482, 454, 1038, 1535, 318, 2908, 815, 1535, 18622, 701, 520, 4311, 25915, 314, 271, 3910, 7852, 284, 273, 1040, 516, 701, 520, 4311, 25915, 314, 272, 3910, 7852, 284, 274, 994, 1038, 2132, 1535, 318, 2908, 692, 825, 1219, 18807, 7272, 817, 4311, 267, 13506, 2187, 1038, 1948, 13560, 3732, 3403, 547, 3105, 3337, 454, 1038, 13506, 815, 13506, 18020, 2433, 267, 26012, 1345, 25915, 314, 271, 3910, 26012, 1345, 25915, 314, 272, 27663, 1038, 2132, 13506, 692, 825, 1219, 3977, 318, 27729, 4311, 2187, 1038, 9055, 267, 4463, 267, 8700, 815, 1582, 269, 6358, 318, 27729, 454, 1038, 2132, 9055, 267, 1582, 25915, 314, 271, 316, 2608, 4463, 267, 1582, 25915, 314, 272, 316, 2608, 8700, 7531, 5035, 19693, 303, 32061, 273, 291, 27331, 9707, 2187, 825, 5727, 3849, 1091, 9343, 543, 9587, 540, 3586, 2418, 547, 519, 3403, 563, 825, 30352, 912, 825, 28612, 734, 8894, 825, 14950, 3429, 281, 24042, 454, 1038, 634, 2179, 540, 14950, 3429, 2059, 519, 4463, 543, 8700, 10155, 540, 519, 3403, 563, 1038, 1403, 630, 25247, 20189, 267, 14950, 16062, 264, 519, 1482, 21136, 14950, 3429, 568, 4294, 2059, 4463, 543, 8700, 10155, 563, 1038, 1403, 16733, 25247 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2168, 2534, 267, 621, 779, 849, 1271, 547, 1450, 6190, 1964, 5712, 269, 2271, 1619, 2534, 1510, 9397, 666, 8833, 519, 7929, 1062, 543, 2333, 519, 1981, 540, 606, 10447, 4323, 269, 11559, 707, 1126, 547, 1491, 9397, 950, 2877, 543, 6432, 547, 741, 1560, 563, 5475, 519, 2168, 2534, 568, 2347, 267, 1519, 3579, 16365, 5751, 666, 849, 581, 6225, 269, 1452, 5751, 948, 7930, 3142, 519, 2295, 2557, 543, 7244, 1394, 547, 3339, 2157, 269, 15346, 16365, 5751, 666, 1331, 2238, 971, 607, 6972, 610, 9543, 15198, 269, 1452, 5751, 3895, 6051, 543, 7413, 519, 8458, 540, 2022, 7721, 9052, 2589, 563, 17730, 513, 8081, 633, 5113, 454, 28444, 1005, 519, 1126, 568, 711, 4805, 1282, 2168, 2534, 568, 1898, 269, 11109, 2576, 7404, 945, 568, 3222, 540, 519, 1126, 779, 2783, 543, 666, 2709, 6351, 952, 2877, 666, 1683, 1312, 4708, 540, 2247, 543, 3773, 3106, 269, 6787, 621, 779, 513, 2385, 267, 16455, 267, 4116, 267, 610, 1776, 3743, 2937, 267, 2348, 2576, 1459, 945, 17358, 519, 1126, 779, 10447, 666, 1118, 2168, 2534, 811, 6899, 543, 11791, 563, 2005, 568, 849, 1898, 547, 13599, 19393, 267, 3610, 267, 543, 824, 15637, 827, 10447, 269, 1635, 2810, 741, 1620, 540, 519, 2783, 267, 789, 666, 1732, 1489, 519, 1126, 1282, 2168, 2534, 269, 5269, 2386, 789, 616, 3222, 540, 519, 1126, 779, 12153, 267, 6646, 1544, 267, 543, 1022, 1808, 2115, 610, 9270, 269, 901, 1702, 786, 5512, 873, 547, 4431, 14013, 543, 1683, 1022, 2556, 1489, 563, 21886, 15758, 2792, 543, 1930, 5188, 568, 849, 2629, 269, 5269, 2386, 519, 1126, 7959, 6899, 7234, 741, 2589, 543, 4145, 609, 741, 1489, 1062, 269, 901, 786, 1450, 873, 547, 2769, 1022, 9636, 610, 12153, 789, 949, 581, 7680, 267, 4180, 602, 3617, 2962, 666, 581, 3144, 16425, 563, 12507, 13501, 8330, 8676, 12580, 454, 30789, 513, 10835, 19701, 666, 581, 606, 2500, 1259, 540, 9477, 519, 1126, 779, 10447, 2589, 1354, 267, 1282, 267, 543, 1310, 2168, 2534, 269, 11559, 707, 1126, 547, 2594, 1022, 7244, 7965, 267, 23472, 267, 610, 824, 2589, 789, 1995, 269, 901, 666, 948, 2697, 1022, 3270, 610, 12153, 602, 949, 581, 1459, 563, 7628, 2168, 2534, 267, 621, 779, 1271, 547, 581, 21713, 543, 6895, 585, 9963, 4191, 540, 606, 10447, 4323, 269, 12580, 971, 607, 765, 22689, 267, 9221, 9395, 1145, 267, 610, 26032, 540, 7362, 1058, 711, 581, 16053, 269, 1403, 1022, 540, 891, 2589, 2408, 267, 621, 949, 581, 2556, 547, 4188, 519, 2534, 610, 1491, 513, 2736, 547, 1450, 519, 1126, 547, 9156, 543, 6952, 741, 7362, 563, 17780, 593, 519, 2589, 4810, 267, 11941, 547, 2238, 949, 581, 2877, 269, 1280, 1383, 267, 952, 513, 1978, 3635, 9846, 12153, 10447, 2589, 267, 621, 949, 581, 2556, 547, 12189, 610, 2057, 602, 1880, 3635, 269, 1635, 5464, 2589, 5702, 543, 2921, 3617, 2962, 267, 596, 666, 948, 2327, 519, 3106, 543, 1134, 5630, 540, 519, 1126, 1282, 2168, 2534, 563, 21886, 15758, 7743, 22165, 3107, 9828, 454, 22826, 519, 1126, 547, 946, 26202, 15122, 7244, 267, 849, 1634, 607, 17987, 610, 2620, 7244, 267, 666, 581, 6225, 585, 5883, 10447, 1282, 2168, 2534, 269, 901, 4480, 2337, 3895, 1732, 25312, 543, 666, 948, 2061, 610, 14867, 10447, 2589, 563, 20797, 7244, 5751, 5781, 609, 707, 1126, 3544, 540, 2168, 2534, 269, 901, 666, 1331, 5751, 971, 607, 2921, 3500, 267, 2620, 24967, 1247, 2519, 593, 9750, 519, 17987, 3079, 540, 519, 9221, 269, 1635, 6220, 891, 5751, 883, 519, 1126, 779, 6296, 267, 789, 666, 1831, 811, 5432, 609, 519, 4480, 543, 4019, 621, 1282, 2168, 2534, 950, 2877, 563, 21886, 5971, 519, 1126, 547, 8415, 1697, 7244, 2553, 1282, 2168, 2534, 269, 3816, 785, 873, 547, 1491, 3500, 543, 6417, 24967, 267, 2519, 593, 4628, 17938, 2718, 543, 11375, 2718, 269, 901, 666, 948, 2061, 4028, 7244, 543, 3895, 513, 811, 17159, 1533, 267, 4227, 519, 10171, 540, 10447, 2589, 563, 22134, 1674, 543, 10163, 6601, 6545, 454, 1805, 11691, 19872, 568, 2629, 585, 4896, 267, 855, 621, 779, 2523, 1271, 585, 1453, 609, 10447, 1282, 2168, 2534, 269, 7743, 20697, 2337, 2226, 21572, 7509, 267, 1818, 621, 4443, 547, 13236, 269, 5269, 2386, 707, 1126, 10425, 606, 7850, 2179, 540, 1216, 1354, 267, 1282, 267, 543, 1310, 2168, 2534, 547, 2061, 18024, 563, 12234, 267, 5000, 1964, 9397, 607, 2877, 269, 8447, 2534, 666, 581, 14053, 267, 543, 1346, 609, 10447, 949, 991, 3063, 9397, 547, 6952, 741, 7362, 543, 9156, 269, 1635, 3850, 1964, 9397, 267, 596, 666, 2327, 602, 519, 1126, 1281, 711, 1831, 22350, 3170, 580, 4240, 543, 2569, 519, 1981, 540, 24254, 606, 10447, 4323, 563, 306, 3481, 30389, 7928, 1216, 9397, 666, 4196, 513, 12242, 3483, 540, 5009, 20697, 543, 3246, 606, 4316, 585, 1964, 269, 6875, 5413, 540, 891, 9397, 547, 3289, 3433, 543, 5000, 707, 1126, 547, 1491, 513, 3826, 615, 1354, 759, 11167, 741, 2168, 2534, 563, 7093, 28124, 11644, 268, 5715, 340, 1027, 8330, 8676, 5900, 2931, 454, 4407, 621, 949, 711, 2141, 581, 15164, 267, 621, 779, 1271, 547, 2057, 16706, 538, 3665, 4365, 2175, 269, 5637, 5393, 3905, 543, 4411, 5210, 666, 2333, 519, 1981, 540, 10447, 2589, 1282, 2168, 2534, 269, 1403, 519, 4365, 568, 1932, 7920, 267, 2015, 13346, 519, 2534, 16280, 610, 759, 3481, 30389, 585, 513, 811, 5078, 942, 563, 2690, 1453, 609, 10447, 267, 16706, 538, 4411, 4365, 666, 10460, 3606, 2591, 269, 12019, 2011, 666, 581, 513, 9594, 267, 3056, 547, 23472, 267, 765, 22689, 267, 543, 7411, 7244, 269, 22034, 513, 10077, 325, 610, 9633, 547, 3382, 519, 5023, 543, 9224, 666, 948, 3636, 543, 18519, 1518, 519, 2011, 1354, 621, 10301, 519, 28296, 267, 5732, 4227, 519, 1981, 540, 2589, 563, 21982, 15324, 3800, 1759, 593, 519, 1604, 666, 849, 581, 6225, 269, 1280, 1383, 267, 952, 519, 1126, 568, 10283, 538, 9205, 2238, 1282, 1164, 14947, 1293, 2395, 267, 621, 949, 581, 2556, 547, 1491, 3063, 15416, 267, 971, 607, 9849, 23475, 28904, 610, 513, 11058, 547, 3625, 14947, 689, 4947, 883, 3346, 609, 519, 4064, 543, 4552, 563, 293, 29183, 513, 15474, 9650, 3553, 454, 19465, 519, 1126, 779, 1582, 21873, 568, 1898, 950, 621, 2501, 547, 2502, 538, 2168, 2534, 609, 10447, 269, 11559, 707, 1126, 676, 10771, 741, 9342, 543, 22348, 873, 540, 519, 3356, 789, 4076, 1500, 269, 1635, 5807, 513, 2318, 14820, 267, 596, 666, 948, 873, 7753, 1022, 12194, 610, 32370, 789, 949, 723, 543, 1128, 650, 513, 2631, 540, 16882, 563, 17730, 24276, 3853, 666, 849, 581, 30070, 585, 513, 1126, 609, 10447, 269, 5590, 10853, 9072, 585, 873, 547, 960, 2509, 543, 8661, 741, 18517, 2059, 519, 1259, 269, 1635, 8840, 1524, 519, 3677, 3804, 883, 4130, 267, 19242, 3268, 267, 596, 666, 948, 873, 3251, 5059, 543, 12592, 563, 15563, 267, 1445, 593, 519, 18399, 540, 2168, 2534, 269, 6435, 707, 1126, 1265, 2238, 789, 22992, 2972, 543, 1413, 4464, 547, 10283, 538, 269, 1635, 13346, 519, 1445, 689, 9003, 519, 2168, 2640, 547, 519, 2949, 18399, 267, 707, 1126, 786, 581, 811, 20916, 547, 4497, 538, 2834, 2168, 2534, 543, 2226, 513, 2318, 10182, 2509, 621, 563, 1103, 3932, 267, 2921, 15416, 1282, 2168, 2534, 585, 513, 1126, 609, 10447, 568, 2629, 585, 741, 3106, 543, 1134, 5630, 269, 1635, 7446, 519, 1318, 2238, 267, 1620, 10447, 12153, 267, 4180, 1697, 6646, 946, 267, 7598, 3636, 5346, 543, 3579, 16365, 7886, 267, 2870, 513, 11215, 1604, 267, 5464, 2589, 267, 8716, 1697, 7244, 2553, 267, 5009, 20697, 543, 1964, 9397, 267, 7303, 3635, 14001, 10447, 6285, 267, 543, 5807, 513, 2318, 14820, 267, 596, 666, 948, 707, 1126, 1995, 519, 3675, 903, 543, 2640, 540, 2168, 2534, 1247, 5883, 741, 10447, 3927, 269, 11408, 5077, 609, 707, 1126, 779, 3782, 8502, 585, 10531, 5796, 543, 5583, 547, 2327, 741, 1808, 2115, 616, 1558, 269, 0, 1492, 10432, 540, 2441, 519, 3751, 1315, 7743, 476, 3066, 1315, 18103, 2435, 476, 4097, 454, 12812, 547, 24946, 2221, 2336, 24874, 11620, 12355, 22858, 673, 9218, 12355, 22858, 6625, 454, 1805, 3994, 781, 1948, 279, 5379, 275, 910, 13913, 359, 402, 371, 32679, 403, 501, 402, 364, 403, 508, 402, 372, 403, 350, 454, 272, 264, 513, 9968, 6053, 11515, 534, 6177, 454, 272, 320, 264, 513, 2012, 540, 519, 5256, 522, 1598, 747, 454, 272, 321, 264, 630, 12710, 13993, 264, 4440, 519, 1390, 22559, 454, 272, 322, 264, 5310, 606, 17255, 6177, 267, 3169, 2495, 7164, 454, 309, 264, 1535, 332, 327, 630, 403, 498, 403, 498, 403, 508, 403, 350, 670, 327, 5960, 264, 910, 1744, 820, 281, 1677, 21199, 2576, 610, 1945, 3423, 1836, 269, 1677, 798, 513, 4636, 547, 1776, 607, 513, 24373, 269, 918, 297, 309, 630, 279, 2567, 630, 341, 325, 281, 14529, 531, 267, 715, 13023, 531, 264, 5208, 267, 29875, 267, 21199, 267, 4636, 267, 10795, 267, 1491, 267, 11953, 910, 16200, 338, 281, 670, 14838, 275, 630, 403, 501, 402, 372, 403, 508, 402, 371, 403, 350, 994, 297, 27889, 5484, 1676, 267, 9147, 12355, 3194, 4741, 13242, 676, 10479, 540, 519, 2278, 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 ]
[ 25590, 2405, 808, 1547, 476, 3192, 278, 282, 274, 281, 15876, 268, 5197, 563, 276, 269, 9149, 2473, 25286, 269, 12713, 13808, 540, 683, 565, 793, 753, 689, 674, 1192, 639, 11634, 714, 18588, 324, 1547, 6490, 2382, 744, 1873, 531, 4777, 30434, 1547, 476, 1960, 272, 282, 10436, 281, 4029, 268, 4391, 563, 277, 269, 20568, 717, 6874, 269, 24103, 1670, 3527, 543, 4791, 946, 540, 674, 1192, 639, 11634, 714, 18588, 324, 1547, 25590, 2405, 808, 269, 476, 2735, 280, 282, 9083, 281, 278, 2412, 268, 278, 5392, 563, 278, 269, 20568, 717, 6874, 269, 24103, 1670, 3527, 543, 4791, 946, 540, 674, 1192, 639, 11634, 714, 18588, 324, 1547, 25590, 2405, 808, 269, 476, 2735, 280, 282, 9083, 281, 278, 2412, 268, 278, 5392, 563, 279, 269, 670, 4545, 651, 808, 299, 267, 26990, 657, 17241, 267, 13259, 636, 3385, 674, 269, 5576, 529, 18588, 24060, 18424, 630, 307, 584, 322, 345, 4700, 13391, 650, 269, 28546, 582, 518, 777, 807, 269, 476, 1960, 280, 282, 3583, 281, 26493, 268, 5325, 272, 563, 280, 269, 20568, 808, 267, 2473, 26820, 623, 8566, 269, 10765, 8441, 538, 519, 1353, 540, 9831, 894, 2360, 540, 4457, 16392, 2371, 269, 24695, 339, 1278, 1763, 1547, 476, 1960, 275, 282, 279, 281, 275, 3393, 268, 26493, 563, 1015, 269, 20568, 717, 6874, 269, 24103, 1670, 3527, 543, 4791, 946, 540, 674, 1192, 639, 11634, 714, 18588, 324, 1547, 25590, 2405, 808, 269, 476, 2735, 280, 282, 9083, 281, 278, 2412, 268, 278, 5392, 563, 1556, 269, 670, 4545, 651, 808, 299, 267, 26990, 657, 17241, 267, 13259, 636, 3385, 674, 269, 5576, 529, 18588, 24060, 18424, 630, 307, 584, 322, 345, 4700, 13391, 650, 269, 28546, 582, 518, 777, 807, 1547, 476, 1960, 280, 282, 3583, 281, 26493, 268, 5325, 272, 563, 1321, 269, 13259, 636, 3385, 674, 267, 19555, 657, 8759, 808, 267, 4591, 320, 681, 267, 1696, 620, 269, 5525, 593, 519, 1198, 540, 5576, 714, 18588, 24060, 18424, 1349, 593, 9640, 11643, 547, 3635, 543, 5021, 4674, 269, 24695, 339, 1278, 1763, 1547, 476, 2735, 280, 282, 274, 281, 11260, 268, 9692, 563, 1724, 269, 13259, 636, 3385, 674, 267, 4591, 320, 681, 267, 22816, 2006, 717, 267, 1696, 620, 269, 6356, 540, 5576, 714, 18588, 24060, 18424, 1349, 593, 9488, 321, 1042, 338, 538, 838, 11781, 14797, 269, 4982, 710, 19158, 8541, 1547, 476, 1960, 272, 282, 275, 281, 272, 267, 476, 275, 268, 276, 563, 1691, 269, 670, 4545, 651, 808, 267, 26990, 657, 681, 267, 595, 576, 637, 667, 267, 1696, 620, 269, 22159, 540, 16796, 646, 31154, 1098, 3133, 1162, 543, 8713, 298, 538, 7328, 9640, 609, 4057, 2773, 5701, 609, 513, 13387, 5576, 714, 18588, 24060, 18424, 4829, 1349, 269, 24695, 339, 558, 14037, 710, 1547, 476, 1960, 277, 282, 274, 281, 26801, 268, 13301, 563, 1428, 269, 670, 4545, 651, 808, 267, 26990, 657, 681, 267, 22816, 2006, 717, 267, 1696, 620, 269, 5576, 714, 18588, 24060, 18424, 267, 513, 1761, 20239, 617, 2607, 585, 6051, 540, 7328, 9640, 269, 28546, 582, 518, 777, 807, 1547, 476, 1960, 275, 282, 4792, 281, 13647, 268, 14093, 563, 1626, 269, 670, 4545, 651, 808, 299, 267, 26990, 657, 17241, 267, 13259, 636, 3385, 674, 269, 5576, 529, 18588, 24060, 18424, 630, 307, 584, 322, 345, 4700, 13391, 650, 269, 28546, 582, 518, 777, 807, 269, 476, 1960, 280, 282, 3583, 281, 26493, 268, 5325, 272, 563, 1704, 269, 17755, 4428, 514, 631, 267, 1196, 269, 1977, 4173, 4472, 15733, 5948, 779, 15636, 19680, 8881, 18361, 1547, 645, 10087, 13158, 517, 267, 18919, 281, 10911, 290, 4964, 282, 476, 1960, 278, 281, 10441, 563, 8310, 12649, 4864, 476, 1001, 274, 676, 661, 7034, 4596, 595, 4456, 5623, 8274, 454, 8923, 581, 3222, 602, 713, 1344, 568, 3177, 547, 7110, 519, 1416, 3177, 676, 707, 10629, 269, 898, 568, 9444, 5497, 6862, 22466, 547, 581, 513, 12990, 585, 3318, 2564, 5796, 269, 595, 17920, 22400, 31178, 290, 22664, 11550, 4668, 2207, 594, 12613, 3633, 296, 2969, 5085, 312, 17692, 9358, 8946, 2562, 298, 9358, 10790, 312, 22743, 12717, 589, 631, 19075, 15444, 2207, 294, 27301, 312, 269, 11408, 3343, 519, 5796, 540, 707, 10629, 610, 824, 11727, 1072, 8502, 1991, 547, 4358, 1022, 1007, 2126, 610, 609, 1022, 2055, 596, 949, 723, 3823, 513, 2564, 2783, 563, 15648, 630, 290, 264, 476, 1001, 272, 661, 7034, 4596, 14539, 269, 2353, 2924, 11603, 269, 0, 288, 476, 276, 281, 9208, 6167, 21197, 10626, 3292, 454, 763, 1739, 3044, 6167, 21197, 2645, 666, 948, 596, 950, 8848, 1005, 661, 750, 18704, 543, 23235, 3060, 2042, 269, 4033, 6167, 21197, 2645, 267, 971, 607, 834, 1873, 14833, 2580, 834, 335, 3326, 2580, 834, 6339, 560, 520, 2580, 834, 345, 2158, 2580, 834, 341, 335, 3326, 2580, 543, 834, 332, 778, 573, 2580, 616, 4330, 11992, 563, 7312, 6167, 21197, 3984, 2012, 1590, 2760, 1331, 513, 1793, 1662, 9497, 270, 8442, 1915, 630, 1721, 1383, 834, 3240, 318, 3464, 270, 7785, 271, 20257, 898, 568, 1655, 547, 946, 2539, 2013, 3197, 1152, 267, 1100, 5624, 267, 1100, 896, 6050, 543, 1100, 18685, 7436, 4849, 3834, 1156, 563, 288, 1793, 1662, 3123, 2042, 609, 661, 750, 18704, 267, 7193, 18704, 543, 824, 6167, 21197, 3292, 269, 901, 568, 1317, 834, 270, 257, 568, 849, 519, 15682, 2619, 3021, 1807, 269, 3642, 311, 1281, 711, 2132, 606, 5470, 5048, 952, 596, 946, 519, 834, 270, 257, 1915, 538, 707, 3984, 2012, 563, 763, 5650, 547, 1246, 547, 3313, 519, 3984, 781, 2012, 543, 4950, 2232, 5673, 593, 519, 6167, 21197, 5665, 1062, 1826, 267, 543, 3006, 593, 922, 4528, 267, 1932, 269, 634, 1739, 3292, 616, 1419, 2139, 912, 763, 834, 10676, 4067, 257, 4971, 630, 7034, 291, 1949, 264, 610, 519, 834, 684, 877, 257, 4971, 630, 21902, 966, 1949, 264, 666, 581, 1031, 547, 3313, 513, 6167, 21197, 2780, 781, 3984, 2012, 269, 11910, 834, 684, 877, 257, 609, 519, 29038, 333, 257, 6467, 630, 684, 877, 910, 333, 454, 1040, 2422, 519, 29038, 320, 257, 6467, 3079, 547, 1294, 707, 5665, 1062, 4528, 267, 1932, 563, 257, 17369, 257, 568, 1031, 547, 4159, 543, 12575, 519, 6167, 21197, 3984, 781, 834, 514, 1181, 564, 2232, 270, 26367, 2012, 257, 7503, 3349, 269, 1403, 519, 834, 17369, 257, 4971, 2882, 513, 2780, 2012, 607, 513, 4971, 1899, 4661, 267, 621, 13290, 547, 1205, 811, 1344, 593, 519, 9138, 2780, 267, 1519, 922, 4950, 2232, 269, 4014, 519, 7503, 3349, 1281, 7363, 711, 2270, 1344, 593, 707, 1378, 3984, 267, 621, 568, 1869, 1419, 2009, 547, 3313, 922, 4950, 2232, 538, 713, 1259, 267, 585, 1383, 912, 16573, 272, 268, 26801, 818, 335, 281, 634, 7127, 16481, 332, 630, 7277, 269, 10482, 269, 2412, 269, 18684, 264, 568, 711, 454, 30005, 538, 519, 2199, 818, 335, 3349, 563, 1607, 1907, 9497, 259, 2464, 291, 7644, 270, 31756, 270, 604, 560, 520, 8442, 568, 1031, 547, 3313, 267, 585, 1142, 3710, 2987, 3060, 8818, 267, 519, 11197, 307, 1779, 543, 27427, 270, 7709, 19383, 563, 5979, 271, 281, 17514, 476, 16328, 278, 4510, 271, 4037, 283, 16810, 32390, 4629, 4696, 290, 17129, 267, 26183, 8008, 289, 19272, 454, 10485, 6573, 4041, 311, 267, 17472, 4488, 9816, 285, 544, 14654, 476, 12739, 9834, 454, 6839, 476, 14096, 269, 271, 269, 271, 269, 272, 2121, 332, 2532, 476, 14838, 269, 271, 269, 271, 269, 271, 13739, 454, 523, 274, 281, 17514, 476, 16328, 278, 4510, 14321, 283, 16810, 32390, 4629, 4696, 290, 17129, 267, 27237, 6938, 6579, 8991, 454, 305, 7419, 301, 5058, 267, 10485, 6573, 4041, 311, 267, 17472, 4488, 9816, 285, 544, 14654, 476, 5611, 271, 454, 6839, 476, 15094, 269, 1626, 269, 271, 269, 272, 2121, 332, 2532, 476, 14838, 269, 14838, 269, 21857, 269, 271, 454, 520, 1779, 1327, 762, 476, 736, 554, 27809, 476, 1789, 2121, 476, 736, 6843, 476, 16960, 454, 523, 271, 281, 17514, 476, 16328, 278, 4510, 14321, 283, 16810, 32390, 4629, 4696, 290, 17129, 267, 27237, 6938, 6579, 8991, 454, 305, 7419, 301, 5058, 267, 10485, 6573, 4041, 311, 267, 17472, 4488, 9816, 285, 544, 14654, 476, 14983, 273, 454, 520, 1779, 1327, 762, 476, 4029, 554, 27809, 476, 2412, 2121, 476, 4029, 6843, 476, 16318, 454, 763, 6724, 1327, 762, 476, 4029, 554, 27809, 476, 2412, 454, 516, 2897, 519, 19497, 1031, 2039, 476, 4029, 268, 2412, 0, 295, 4353, 1299, 670, 20302, 12700, 454, 25387, 519, 15509, 9193, 602, 972, 616, 476, 4343, 267, 1822, 1007, 2665, 540, 7486, 6771, 538, 519, 2136, 2276, 1142, 1032, 269, 4014, 972, 568, 1100, 10826, 2139, 585, 7486, 2068, 4867, 267, 1007, 2139, 3075, 2126, 3681, 723, 519, 2702, 547, 3927, 4383, 7486, 2550, 2068, 547, 513, 1533, 602, 568, 12303, 32373, 762, 609, 2427, 2360, 899, 1346, 540, 1082, 1455, 5312, 2175, 563, 19602, 267, 1247, 519, 15509, 9193, 476, 1321, 267, 1822, 7972, 12422, 538, 519, 2475, 689, 6797, 2068, 3361, 676, 17537, 595, 269, 1323, 6059, 835, 21017, 540, 1004, 609, 7486, 538, 519, 772, 2529, 269, 616, 1071, 29795, 539, 609, 670, 20302, 543, 6797, 2068, 568, 835, 540, 519, 3056, 3123, 540, 2669, 538, 1004, 609, 7486, 563, 2252, 15860, 267, 670, 20302, 666, 1291, 547, 4963, 9071, 2670, 267, 6797, 5821, 267, 15910, 5557, 607, 1134, 607, 16991, 267, 543, 824, 2175, 3544, 540, 519, 6797, 269, 7736, 22533, 6797, 2068, 689, 670, 20302, 1071, 19899, 1254, 568, 513, 3056, 2014, 540, 2669, 1851, 7486, 25698, 1004, 538, 519, 772, 2529, 454, 6124, 16861, 1239, 5950, 676, 15509, 538, 476, 1001, 278, 2982, 602, 267, 538, 936, 1175, 2947, 1296, 267, 519, 1297, 540, 1007, 17537, 595, 5563, 4080, 814, 5176, 2468, 9482, 267, 8757, 513, 476, 1428, 4458, 1164, 269, 634, 6574, 4679, 267, 543, 519, 5207, 2949, 1297, 540, 2665, 267, 941, 1851, 1762, 1004, 476, 736, 268, 3066, 267, 609, 13297, 3075, 946, 607, 519, 3119, 8905, 540, 6771, 269, 1717, 267, 519, 5354, 630, 22764, 6709, 11467, 264, 540, 519, 476, 274, 269, 276, 2929, 4892, 2907, 2713, 609, 17537, 595, 616, 4816, 1630, 12002, 267, 4535, 689, 476, 3707, 276, 547, 476, 3422, 276, 267, 945, 616, 3670, 2053, 811, 2693, 547, 581, 7783, 609, 17537, 595, 982, 1346, 538, 824, 2085, 2516, 543, 616, 693, 1454, 3152, 1981, 585, 2669, 689, 519, 3644, 563, 10303, 17537, 595, 1419, 814, 1906, 18476, 2589, 267, 519, 1297, 540, 1007, 2665, 568, 2693, 1454, 2362, 982, 1018, 568, 4080, 269, 9603, 547, 3908, 4152, 543, 896, 3146, 1636, 532, 267, 15509, 9193, 519, 4890, 1297, 540, 4892, 9241, 7783, 568, 476, 4097, 267, 1822, 7868, 1297, 540, 1007, 17537, 595, 5563, 4080, 547, 15509, 538, 476, 1001, 276, 729, 2362, 982, 621, 779, 1044, 538, 476, 1428, 1296, 1107, 2348, 5176, 2468, 9482, 2094, 476, 1001, 271, 630, 25616, 1007, 2665, 941, 4080, 538, 476, 1001, 271, 267, 543, 476, 273, 267, 275, 3607, 1007, 2665, 4080, 538, 476, 1001, 276, 1916, 13563, 5948, 585, 519, 5530, 540, 20506, 15302, 630, 288, 3008, 17162, 264, 476, 6860, 269, 2764, 269, 1001, 278, 454, 13563, 20506, 7690, 6435, 7412, 281, 476, 272, 268, 8517, 8566, 302, 6441, 4353, 2207, 630, 272, 268, 8517, 268, 275, 4792, 268, 4366, 274, 278, 994, 13563, 30887, 10938, 1670, 5948, 476, 6860, 269, 2764, 269, 1001, 278, 454, 13563, 5441, 540, 30887, 10938, 5505, 476, 6860, 269, 2764, 269, 1001, 278, 454, 292, 3916, 1588, 540, 22031, 22807, 645, 543, 595, 1107, 2817, 6298, 12562, 540, 3163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1934, 543, 1934, 281, 1924, 267, 547, 3136, 609, 10444, 11994, 281, 1310, 7487, 513, 2699, 543, 29549, 9782, 267, 835, 779, 2247, 666, 1106, 2093, 540, 25017, 543, 32709, 1510, 6544, 1516, 1776, 4890, 9782, 269, 28676, 1287, 30193, 1063, 2241, 543, 1950, 2093, 269, 634, 5449, 2097, 689, 835, 2631, 4805, 267, 971, 607, 15280, 543, 25970, 689, 5711, 6492, 269, 4033, 2241, 2093, 616, 1346, 540, 7990, 267, 3280, 267, 9329, 2073, 3337, 267, 2450, 543, 4396, 640, 563, 1103, 1950, 2093, 519, 2247, 2535, 527, 919, 676, 9256, 11994, 689, 1114, 2631, 268, 3073, 753, 269, 1323, 1383, 630, 326, 1508, 5310, 676, 28676, 5128, 264, 568, 519, 1950, 2856, 540, 2696, 799, 568, 1500, 909, 540, 2241, 2093, 899, 1379, 543, 22556, 269, 630, 3719, 799, 1114, 2631, 268, 3073, 753, 798, 2048, 12741, 685, 543, 2048, 16591, 1145, 685, 2097, 689, 286, 994, 5804, 2353, 11310, 23548, 1231, 609, 11576, 566, 267, 676, 26366, 996, 1744, 537, 2401, 267, 538, 1018, 1031, 547, 581, 2048, 6339, 17541, 685, 281, 11576, 566, 610, 2048, 338, 1619, 1995, 8730, 607, 28676, 7125, 621, 267, 6799, 24534, 7907, 547, 519, 2247, 267, 971, 607, 4411, 1145, 267, 17824, 8864, 267, 543, 2571, 1145, 269, 1879, 519, 2247, 9356, 593, 891, 17915, 267, 621, 11392, 513, 2034, 1305, 540, 2093, 17640, 547, 891, 10444, 4238, 269, 901, 4667, 547, 2874, 540, 971, 2790, 4238, 607, 8226, 267, 3206, 267, 6065, 1154, 267, 18468, 267, 7744, 267, 6616, 267, 543, 8348, 269, 630, 300, 7825, 267, 602, 568, 711, 3833, 2312, 2614, 8094, 3080, 3085, 1406, 1152, 1589, 827, 1018, 835, 814, 4810, 269, 2290, 666, 849, 1589, 827, 1919, 835, 814, 2760, 2938, 971, 607, 17878, 610, 27033, 27163, 269, 1924, 28676, 779, 3409, 1590, 581, 827, 519, 10700, 2707, 540, 938, 2093, 269, 1261, 7608, 602, 649, 1419, 15508, 5478, 1950, 2093, 676, 7623, 532, 12863, 3334, 269, 3733, 2856, 540, 968, 684, 545, 1941, 892, 949, 581, 31903, 689, 519, 2093, 540, 968, 1817, 572, 892, 543, 540, 968, 338, 17532, 18700, 18057, 892, 1312, 540, 799, 2097, 689, 1995, 269, 28676, 13991, 3883, 4083, 540, 519, 4828, 547, 6029, 602, 1169, 2856, 1223, 267, 538, 6240, 267, 581, 6508, 689, 1995, 563, 3719, 972, 568, 1776, 3017, 1063, 519, 2093, 281, 519, 7990, 540, 519, 3774, 538, 4395, 540, 803, 4667, 547, 4268, 2687, 547, 519, 19355, 1769, 543, 519, 1533, 540, 1250, 4064, 267, 1247, 922, 4396, 640, 26251, 10446, 269, 898, 568, 1767, 1934, 602, 267, 1739, 31595, 543, 15196, 548, 267, 28676, 6045, 713, 3017, 538, 24402, 1529, 4115, 6752, 267, 1775, 4318, 269, 602, 782, 2339, 568, 7768, 540, 6263, 5536, 269, 630, 3719, 602, 7778, 267, 594, 1745, 267, 2115, 2417, 6679, 909, 8094, 2080, 568, 1776, 7778, 540, 519, 3017, 602, 28676, 2322, 4464, 281, 11576, 725, 602, 4268, 616, 9599, 676, 519, 1843, 779, 6281, 7907, 563, 21132, 3119, 7907, 616, 922, 1483, 7907, 267, 922, 17271, 2934, 267, 1346, 621, 2731, 814, 269, 1358, 616, 22905, 543, 6662, 269, 1358, 616, 538, 519, 1843, 3294, 267, 1519, 519, 13557, 267, 4137, 267, 9403, 267, 543, 5163, 630, 553, 28676, 1572, 873, 264, 540, 922, 2694, 269, 630, 13625, 4083, 642, 13839, 476, 280, 1040, 12729, 7907, 616, 538, 29323, 762, 689, 519, 1843, 1256, 950, 519, 8545, 568, 5258, 883, 2694, 1932, 1507, 585, 721, 547, 13498, 269, 1358, 616, 4830, 540, 938, 8226, 540, 873, 563, 763, 3119, 7907, 540, 519, 9782, 1331, 782, 540, 922, 3067, 16666, 2934, 267, 922, 2527, 543, 11610, 267, 922, 3114, 5888, 543, 18784, 2497, 269, 1452, 616, 519, 2934, 540, 519, 3364, 3294, 563, 22746, 3119, 7907, 1331, 4396, 640, 267, 10137, 267, 3337, 267, 5163, 267, 1964, 267, 543, 1297, 267, 782, 540, 799, 10161, 4010, 2147, 2093, 538, 938, 8186, 269, 630, 4322, 2093, 540, 1576, 267, 2687, 547, 28676, 267, 616, 1152, 2790, 2592, 543, 711, 519, 6662, 4641, 540, 519, 3119, 7907, 2933, 607, 789, 2291, 538, 519, 5007, 1158, 26695, 13553, 776, 7907, 267, 593, 519, 824, 1688, 267, 616, 711, 2965, 538, 519, 1843, 269, 3776, 2093, 540, 873, 616, 16148, 547, 13951, 269, 6201, 616, 519, 2681, 267, 3280, 267, 9329, 267, 543, 6492, 540, 3615, 269, 1452, 2093, 1689, 2687, 547, 6381, 267, 607, 585, 3236, 950, 533, 6973, 344, 787, 2242, 922, 7990, 538, 1114, 8654, 269, 630, 2704, 2431, 267, 865, 891, 2093, 616, 1689, 762, 855, 789, 616, 9599, 676, 519, 1843, 3294, 543, 616, 4957, 538, 519, 1482, 1259, 585, 3025, 267, 865, 875, 666, 28676, 2161, 789, 616, 16148, 547, 13951, 286, 2334, 779, 606, 1383, 540, 13085, 3886, 874, 1944, 676, 1250, 1088, 256, 8094, 763, 6281, 7907, 616, 3274, 2093, 602, 519, 1843, 7472, 538, 803, 269, 1358, 616, 8806, 519, 2360, 540, 519, 3119, 7907, 540, 922, 24402, 3380, 593, 1250, 4064, 543, 9224, 269, 634, 2681, 543, 9329, 267, 899, 519, 1928, 594, 1745, 950, 594, 6529, 1250, 9416, 593, 513, 555, 1941, 267, 616, 711, 2934, 540, 519, 9782, 3294, 269, 630, 17764, 256, 1631, 28676, 568, 6031, 602, 519, 6281, 7907, 616, 3274, 2093, 3330, 13951, 602, 616, 3812, 676, 519, 1843, 779, 3119, 7907, 26695, 763, 1739, 5037, 267, 6508, 689, 1934, 543, 1934, 267, 3085, 1406, 1118, 2631, 547, 803, 281, 634, 11984, 1063, 3119, 543, 6281, 7907, 568, 1271, 585, 11347, 1483, 1235, 945, 1589, 649, 616, 3222, 540, 3615, 1152, 3842, 2093, 602, 2099, 873, 269, 29439, 26075, 543, 24522, 616, 1806, 269, 3509, 8320, 540, 829, 24632, 21903, 666, 581, 6045, 676, 4704, 547, 519, 1259, 6281, 7907, 4096, 2390, 938, 10444, 8219, 269, 898, 849, 6589, 267, 621, 568, 1767, 267, 585, 3965, 267, 630, 8117, 15983, 3965, 3274, 5673, 593, 8580, 1005, 909, 606, 2856, 540, 1022, 2186, 1040, 898, 949, 1291, 630, 553, 609, 670, 2541, 264, 547, 24498, 2622, 590, 1061, 6291, 267, 799, 3081, 630, 30524, 596, 3494, 621, 24047, 602, 596, 666, 1406, 6961, 25401, 602, 972, 779, 4376, 538, 519, 1158, 3544, 602, 2965, 14687, 547, 1018, 707, 12823, 543, 8754, 707, 2093, 2995, 596, 3330, 707, 2247, 269, 630, 810, 2845, 10107, 609, 1913, 568, 513, 811, 6325, 6169, 982, 835, 779, 12823, 26695, 6624, 8320, 540, 829, 24632, 21903, 666, 581, 6045, 676, 519, 1259, 6281, 7907, 4096, 2390, 938, 10444, 8219, 267, 855, 519, 7872, 540, 4977, 1344, 827, 519, 3119, 7907, 568, 12873, 269, 634, 7762, 534, 626, 666, 3035, 2143, 1702, 540, 519, 2470, 540, 24712, 267, 540, 741, 3119, 7907, 267, 855, 602, 1702, 568, 711, 2556, 585, 1250, 7071, 540, 741, 5898, 799, 13408, 6281, 7907, 563, 263, 5804, 12729, 19120, 885, 267, 18520, 19120, 885, 267, 543, 28548, 2421, 26366, 996, 1744, 537, 2401, 267, 1912, 6185, 1421, 538, 2121, 17541, 267, 799, 1100, 3476, 6818, 281, 264, 28676, 849, 2022, 4327, 513, 3791, 2298, 540, 3615, 593, 1283, 540, 741, 3119, 543, 6281, 3283, 269, 634, 3791, 2298, 568, 602, 799, 3123, 2242, 538, 519, 3119, 7907, 540, 824, 3615, 267, 899, 519, 3141, 814, 519, 2298, 547, 2048, 24708, 14589, 3043, 267, 543, 3595, 547, 1118, 1291, 5714, 10200, 630, 296, 1589, 713, 1058, 581, 2048, 577, 5190, 538, 6281, 7907, 685, 543, 711, 2048, 27146, 776, 685, 1916, 299, 665, 651, 849, 5156, 538, 519, 6228, 540, 2048, 11357, 560, 766, 9957, 589, 3364, 779, 6219, 568, 513, 10799, 23628, 5817, 543, 5885, 922, 3119, 7907, 269, 634, 2262, 2048, 11357, 560, 766, 685, 12777, 1797, 2048, 9227, 896, 17483, 3719, 18468, 538, 513, 2048, 11357, 560, 766, 685, 3177, 7965, 585, 519, 10686, 545, 626, 267, 1317, 621, 779, 711, 6544, 22133, 676, 519, 12823, 269, 769, 824, 1913, 267, 1018, 568, 713, 6219, 899, 286, 28676, 21334, 539, 646, 7948, 1406, 2626, 2443, 646, 1572, 6219, 606, 2048, 296, 268, 3104, 27677, 2914, 1002, 685, 3364, 269, 1261, 4061, 8813, 883, 519, 4214, 540, 513, 2048, 5471, 7469, 9713, 989, 333, 8251, 8730, 538, 6031, 602, 519, 10700, 2470, 540, 4641, 568, 7164, 269, 1411, 917, 1152, 519, 3119, 543, 6281, 7907, 540, 606, 1843, 267, 855, 519, 6219, 3294, 3788, 7164, 269, 6424, 670, 2541, 9738, 602, 28676, 779, 2856, 540, 6219, 267, 543, 849, 540, 519, 1582, 543, 540, 2696, 267, 3112, 581, 1634, 689, 1995, 563, 299, 665, 651, 9289, 2436, 2831, 1685, 8086, 593, 741, 2241, 2093, 540, 14815, 269, 29439, 26075, 1185, 15653, 519, 7872, 540, 2831, 3206, 855, 28676, 2219, 621, 729, 1152, 27727, 602, 2831, 4769, 1406, 798, 269, 630, 8072, 6781, 560, 3555, 685, 4667, 547, 581, 3989, 607, 519, 5106, 1034, 2629, 538, 8108, 519, 2093, 540, 6404, 12331, 593, 799, 13919, 5673, 267, 855, 1018, 2048, 332, 3941, 685, 4010, 616, 568, 27057, 3564, 803, 8094, 3383, 968, 14551, 2223, 968, 1042, 2223, 968, 331, 3716, 2223, 968, 322, 1245, 2223, 968, 338, 11548, 2223, 543, 968, 541, 11703, 892, 616, 2093, 540, 14815, 267, 1247, 968, 704, 576, 1516, 2223, 968, 8145, 1897, 532, 2223, 968, 629, 5724, 532, 2223, 543, 968, 628, 9722, 892, 616, 2093, 540, 8086, 269, 968, 303, 548, 5501, 2223, 968, 29774, 2223, 543, 968, 1410, 14571, 2223, 28676, 4371, 267, 616, 2093, 602, 2097, 689, 1312, 14815, 543, 8086, 269, 18421, 649, 917, 267, 3494, 267, 610, 1589, 267, 568, 1500, 909, 540, 2093, 540, 14815, 543, 8086, 543, 4986, 3116, 269, 630, 3719, 1586, 594, 2307, 538, 1250, 23535, 7190, 267, 1141, 798, 16022, 1702, 543, 3087, 894, 1702, 267, 607, 28676, 19528, 1657, 267, 2097, 689, 269, 1215, 798, 891, 2097, 689, 14815, 543, 8086, 593, 14815, 286, 994, 8110, 4003, 540, 2093, 998, 519, 12823, 267, 543, 741, 12802, 538, 3965, 267, 28676, 4371, 267, 616, 2048, 10139, 633, 7060, 540, 519, 2247, 685, 3564, 938, 17319, 1852, 2048, 663, 8185, 8200, 593, 519, 1570, 2175, 540, 519, 1480, 1560, 685, 630, 3369, 7241, 602, 1797, 1916, 763, 3742, 7060, 540, 519, 2247, 267, 593, 519, 824, 1688, 630, 732, 891, 519, 2048, 10915, 27928, 685, 24047, 1331, 23243, 267, 9236, 267, 7623, 532, 543, 7493, 532, 267, 865, 519, 2247, 814, 519, 1379, 547, 1020, 1007, 267, 1950, 2093, 689, 519, 2241, 2093, 3177, 676, 1995, 269, 630, 1432, 827, 519, 968, 704, 576, 1516, 2223, 968, 8145, 1897, 532, 2223, 968, 629, 5724, 532, 2223, 543, 968, 628, 9722, 892, 602, 646, 1185, 5018, 1079, 9433, 1657, 1934, 7790, 994, 4322, 1950, 2093, 616, 540, 1614, 610, 2185, 12204, 585, 519, 14544, 281, 17616, 25042, 267, 799, 3100, 547, 581, 4334, 539, 609, 28548, 543, 3647, 775, 269, 1703, 849, 4667, 547, 581, 519, 1950, 2856, 540, 4039, 566, 269, 630, 5472, 540, 602, 568, 27057, 3564, 803, 2443, 1141, 616, 519, 14436, 2093, 540, 2048, 704, 576, 1516, 685, 3092, 269, 543, 2048, 23251, 3907, 5109, 685, 3092, 269, 7474, 646, 1185, 5018, 1657, 286, 994, 5804, 1934, 281, 4340, 547, 28676, 779, 4828, 7282, 5274, 4197, 594, 1775, 476, 279, 267, 1010, 1523, 540, 2048, 728, 320, 685, 3769, 6405, 10444, 2592, 267, 7493, 7214, 2035, 267, 543, 3388, 538, 1063, 269, 634, 4778, 543, 5546, 594, 1294, 1354, 803, 616, 2093, 267, 543, 865, 616, 1250, 14000, 267, 1250, 8823, 540, 519, 5836, 267, 1250, 13922, 585, 1250, 1453, 267, 519, 8691, 7515, 267, 543, 519, 3741, 540, 11180, 2229, 269, 14313, 267, 1287, 267, 616, 519, 7525, 3615, 540, 782, 2219, 267, 519, 2495, 540, 782, 1913, 267, 543, 519, 2790, 11269, 540, 782, 1919, 269, 630, 6546, 779, 1018, 713, 3135, 3081, 269, 898, 4667, 547, 803, 602, 28676, 779, 2048, 728, 320, 685, 3769, 3388, 3330, 519, 2247, 8094, 5804, 1934, 630, 6518, 949, 1100, 3476, 581, 2139, 2567, 594, 6557, 711, 2386, 2436, 28676, 20401, 539, 547, 24498, 2622, 590, 1061, 6291, 267, 693, 2547, 585, 513, 942, 269, 1809, 646, 1705, 2161, 267, 5555, 267, 602, 972, 779, 1945, 1572, 2048, 306, 17567, 11310, 685, 799, 10522, 602, 646, 1705, 2097, 547, 3494, 602, 519, 12823, 798, 2285, 721, 1702, 540, 519, 5007, 1158, 269, 1809, 1287, 1586, 267, 930, 15806, 2663, 11329, 856, 602, 713, 7526, 609, 1010, 4505, 2070, 602, 1702, 5666, 547, 6544, 1516, 519, 6876, 610, 24895, 1063, 938 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5619, 1336, 269, 2859, 982, 476, 5952, 829, 1298, 4080, 519, 6855, 1185, 513, 1164, 610, 5420, 2883, 1764, 593, 741, 4238, 269, 8307, 513, 3791, 1767, 789, 1185, 6190, 7616, 585, 6051, 269, 5843, 543, 1507, 16904, 630, 29006, 609, 476, 4200, 5520, 610, 7864, 264, 941, 10782, 4299, 563, 763, 5619, 267, 5645, 856, 676, 14146, 619, 543, 6355, 16840, 1222, 20871, 630, 292, 13696, 11675, 1070, 3238, 811, 982, 476, 275, 267, 4335, 16904, 538, 476, 3393, 2477, 5001, 269, 661, 13696, 11675, 10356, 1239, 689, 741, 13055, 2818, 1063, 4728, 543, 4873, 476, 1708, 271, 269, 634, 4213, 941, 4280, 827, 10512, 15364, 267, 2883, 1072, 267, 543, 741, 13781, 563, 4263, 602, 942, 267, 476, 4281, 829, 1298, 540, 1346, 23500, 4080, 602, 789, 1185, 4957, 741, 4238, 547, 2149, 873, 689, 5046, 268, 866, 267, 855, 1614, 6709, 11467, 941, 2111, 547, 3136, 5665, 538, 930, 1106, 5103, 3800, 16109, 689, 2229, 9993, 269, 20640, 344, 19317, 829, 1298, 1185, 2907, 8045, 3800, 547, 2149, 5234, 689, 519, 3644, 563, 301, 22022, 476, 3199, 829, 1298, 1767, 789, 9709, 547, 11677, 741, 5234, 1107, 3677, 3549, 941, 811, 2693, 547, 2161, 713, 269, 1717, 267, 1472, 513, 10116, 4080, 602, 789, 17191, 9561, 811, 982, 476, 2412, 829, 1298, 540, 741, 5234, 563, 19185, 883, 519, 2104, 267, 8600, 585, 27644, 6381, 543, 19086, 4220, 2404, 609, 513, 17522, 540, 1870, 4238, 568, 2877, 269, 23225, 518, 982, 3368, 519, 16904, 23500, 1185, 513, 1870, 15364, 1544, 630, 6195, 303, 264, 950, 519, 6855, 5734, 267, 609, 2890, 543, 1507, 4213, 519, 2547, 2693, 547, 723, 1500, 971, 21339, 269, 3958, 267, 1152, 476, 2918, 829, 1298, 540, 519, 16904, 945, 15527, 1767, 789, 941, 4628, 1202, 3293, 543, 476, 7918, 829, 1298, 1185, 1100, 3795, 693, 782, 269, 23839, 13355, 16904, 267, 630, 29006, 609, 476, 1911, 547, 476, 7742, 5520, 1070, 941, 1034, 2693, 547, 723, 2407, 610, 9864, 3795, 563, 1805, 21880, 28517, 2229, 1489, 3800, 585, 16904, 616, 849, 4105, 585, 741, 6051, 269, 9050, 856, 540, 4557, 16904, 1767, 789, 1185, 1100, 7616, 547, 1489, 1870, 6051, 1247, 1079, 22188, 1767, 7616, 729, 13385, 269, 2986, 519, 9922, 21845, 267, 519, 9235, 543, 24756, 5823, 267, 4553, 676, 10685, 543, 6455, 267, 941, 1034, 2693, 547, 1867, 7616, 2152, 563, 763, 1867, 2504, 729, 19658, 676, 661, 13696, 11675, 945, 6394, 543, 3838, 519, 5619, 1239, 609, 519, 13163, 585, 14146, 619, 685, 11242, 630, 16898, 270, 4932, 303, 264, 693, 519, 4139, 23267, 9257, 269, 20554, 270, 4932, 303, 568, 513, 7463, 1770, 1369, 519, 14889, 302, 10555, 30353, 602, 15387, 2673, 543, 1463, 1894, 609, 12820, 685, 23466, 563, 299, 603, 10224, 807, 281, 5046, 268, 866, 6433, 25040, 519, 991, 585, 15024, 547, 5397, 2208, 543, 2569, 8635, 454, 19931, 2270, 618, 3800, 267, 513, 1134, 1922, 4233, 532, 1072, 1062, 543, 16190, 1857, 1489, 547, 10909, 543, 10820, 723, 5280, 26403, 807, 547, 4365, 519, 5046, 268, 866, 6433, 547, 4266, 269, 2334, 1767, 267, 519, 6855, 1869, 11438, 1713, 2804, 4220, 267, 543, 519, 2487, 22705, 25973, 538, 5563, 568, 1360, 7282, 269, 4495, 513, 6051, 568, 896, 1259, 267, 26403, 807, 1058, 2832, 547, 6963, 1857, 3549, 267, 7794, 1857, 18083, 267, 543, 2327, 602, 2208, 2640, 782, 1004, 543, 4525, 267, 2687, 547, 513, 1007, 31232, 1867, 563, 763, 31232, 779, 5767, 9483, 11752, 540, 26403, 807, 3081, 602, 1991, 547, 5046, 268, 866, 267, 1434, 2804, 2359, 543, 606, 5092, 7888, 1870, 2916, 941, 4543, 547, 12740, 3328, 26403, 1014, 26038, 6251, 547, 4359, 2197, 2157, 269, 2755, 519, 21748, 1008, 12097, 676, 519, 3644, 814, 1044, 7646, 518, 982, 11992, 1107, 609, 12654, 15810, 547, 6749, 676, 476, 273, 260, 538, 476, 1708, 271, 1354, 6450, 15929, 676, 476, 273, 269, 278, 260, 538, 476, 1708, 272, 1107, 26403, 807, 779, 1507, 543, 1930, 4346, 786, 581, 7925, 547, 1022, 12675, 17522, 547, 1158, 4123, 269, 23207, 1857, 5092, 543, 5355, 10350, 693, 1533, 24804, 16904, 1223, 948, 12740, 2208, 543, 7607, 269, 4033, 15024, 1058, 1445, 593, 5355, 519, 7145, 540, 7836, 543, 21259, 269, 3683, 519, 3476, 2165, 267, 26403, 807, 1058, 3715, 513, 2312, 7963, 5786, 2619, 543, 513, 1279, 3856, 7963, 3077, 563, 2108, 299, 603, 10224, 807, 779, 3280, 2804, 2359, 540, 2487, 1296, 267, 543, 922, 16190, 3210, 547, 1312, 519, 1072, 543, 2804, 3344, 540, 519, 6855, 267, 616, 4543, 519, 2197, 547, 4365, 519, 5046, 268, 866, 6433, 2223, 1767, 31232, 14199, 29731, 19664, 717, 584, 337, 17144, 269, 968, 2005, 568, 1631, 1883, 547, 1628, 593, 891, 10781, 543, 1964, 691, 519, 6963, 2599, 547, 2327, 7347, 267, 4264, 543, 8537, 2208, 585, 519, 2104, 3034, 763, 6855, 814, 6534, 1164, 2157, 540, 4747, 8635, 538, 26403, 807, 267, 1141, 3448, 6710, 568, 1164, 1851, 519, 32014, 267, 519, 1447, 13473, 267, 2582, 3237, 543, 4587, 1004, 1813, 547, 513, 3454, 1532, 523, 24674, 1062, 602, 568, 13385, 569, 23799, 1026, 5737, 269, 634, 11752, 15565, 26403, 807, 547, 3136, 3246, 10151, 1489, 547, 1004, 543, 4213, 5734, 676, 5046, 268, 866, 267, 607, 1134, 607, 547, 2333, 2834, 1514, 1489, 1247, 20808, 15314, 547, 960, 563, 1103, 2474, 540, 1489, 547, 519, 4346, 267, 519, 11752, 4967, 602, 1247, 26403, 807, 779, 2229, 7836, 814, 2799, 14320, 936, 519, 2250, 1079, 1296, 267, 621, 3788, 2630, 519, 31232, 3328, 269, 5398, 5092, 849, 3788, 1970, 269, 9717, 519, 2956, 540, 2413, 2358, 5989, 543, 18398, 6433, 3620, 527, 3747, 267, 519, 11752, 15565, 4509, 610, 2810, 1699, 2157, 540, 5092, 543, 5355, 5092, 2298, 676, 8876, 856, 11826, 1942, 1532, 523, 24674, 2079, 585, 1367, 3785, 269, 23207, 5092, 538, 6917, 2127, 267, 543, 4758, 2199, 2229, 811, 2161, 538, 3454, 3609, 543, 7836, 267, 1223, 948, 2569, 6237, 13103, 543, 3895, 8537, 2208, 563, 763, 11752, 849, 15565, 943, 2084, 856, 13476, 14124, 8093, 4492, 24307, 543, 2810, 2825, 21259, 267, 799, 1131, 4324, 1857, 18083, 1247, 4543, 519, 6521, 547, 513, 2539, 28003, 4346, 563, 18197, 2276, 25495, 922, 3056, 1909, 538, 519, 4339, 1996, 30427, 13313, 454, 763, 2136, 2276, 5170, 547, 6542, 606, 2810, 1377, 540, 4550, 1532, 686, 25053, 11268, 267, 2348, 26722, 610, 7254, 794, 539, 476, 14690, 3549, 543, 476, 12893, 2043, 585, 4914, 536, 686, 25053, 543, 1644, 1055, 1878, 896, 519, 14579, 4856, 4533, 13756, 2920, 630, 15598, 5183, 264, 1063, 5181, 476, 1001, 271, 543, 5147, 476, 1001, 280, 269, 634, 2136, 2276, 568, 3976, 862, 2105, 585, 513, 1713, 16057, 7678, 538, 11268, 543, 30260, 519, 7986, 1909, 621, 4249, 11451, 538, 28530, 4914, 536, 686, 25053, 563, 763, 476, 4510, 28029, 787, 31232, 11554, 6828, 593, 645, 686, 25053, 814, 1175, 6192, 922, 18001, 476, 275, 6268, 540, 519, 2136, 2276, 685, 6388, 540, 519, 13482, 593, 10395, 908, 645, 686, 25053, 540, 14579, 5398, 12079, 10118, 538, 4139, 6355, 3690, 13905, 543, 1644, 7405, 563, 11693, 7835, 2094, 519, 2136, 2276, 685, 2063, 6268, 538, 476, 1001, 271, 267, 519, 11554, 6828, 1500, 513, 2039, 540, 7840, 547, 519, 2136, 2276, 267, 1519, 547, 912, 268, 6333, 2081, 547, 3986, 20038, 585, 27646, 321, 869, 619, 945, 1867, 1761, 674, 290, 5183, 4550, 1532, 686, 25053, 19374, 676, 1875, 268, 1170, 340, 619, 543, 1683, 2417, 5583, 593, 2139, 27646, 321, 12294, 20038, 3248, 268, 15566, 547, 2417, 6218, 543, 13217, 4507, 543, 5583, 7282, 519, 674, 290, 5183, 3248, 268, 5269, 15597, 2139, 519, 10137, 543, 12032, 540, 26128, 2026, 543, 667, 303, 2026, 609, 3656, 7606, 538, 4914, 536, 686, 25053, 6927, 607, 1134, 607, 519, 12406, 585, 14178, 667, 303, 2026, 538, 674, 290, 5183, 6927, 3248, 268, 15566, 547, 6218, 519, 7145, 540, 519, 23654, 2037, 7593, 8889, 538, 1880, 538, 2474, 540, 8716, 1582, 16162, 26918, 543, 540, 922, 15658, 1370, 1198, 593, 4914, 536, 686, 25053, 282, 543, 454, 268, 15566, 547, 2232, 973, 573, 13659, 998, 3617, 24476, 543, 6318, 4656, 540, 922, 1764, 593, 519, 3903, 540, 6571, 538, 674, 290, 5183, 6927, 563, 763, 1867, 9299, 2478, 519, 2136, 2276, 585, 922, 13455, 7029, 547, 30191, 922, 4914, 536, 686, 25053, 1055, 775, 607, 1134, 607, 922, 1883, 1909, 538, 5009, 519, 6388, 540, 519, 13482, 269, 901, 9740, 2164, 689, 513, 4999, 540, 8476, 6791, 543, 2200, 547, 8495, 543, 21991, 1393, 4914, 536, 686, 25053, 267, 519, 11268, 540, 513, 3376, 2039, 540, 1055, 1878, 538, 4914, 536, 686, 25053, 2665, 267, 519, 2500, 946, 540, 1875, 2389, 7434, 6571, 6127, 267, 543, 519, 1646, 540, 3370, 4507, 547, 10996, 643, 1047, 3549, 685, 1071, 268, 7774, 609, 1876, 11268, 8041, 563, 763, 1867, 849, 4967, 513, 1804, 1297, 540, 2318, 7835, 543, 1434, 2853, 267, 971, 607, 519, 11298, 297, 779, 16126, 593, 1896, 6436, 540, 15668, 547, 3180, 1312, 3549, 543, 2043, 3743, 585, 4914, 536, 686, 25053, 267, 543, 519, 2136, 2276, 685, 3811, 1071, 268, 867, 1588, 602, 814, 4847, 3818, 268, 698, 1890, 21368, 1996, 16957, 25476, 538, 674, 290, 5183, 6927, 269, 769, 6252, 267, 519, 2136, 2276, 814, 5051, 8179, 547, 1071, 268, 15453, 543, 1071, 19945, 4733, 538, 14236, 543, 20547, 3818, 329, 9766, 323, 12302, 4914, 536, 686, 25053, 6927, 609, 824, 22875, 269, 7053, 267, 519, 2136, 2276, 814, 5280, 4914, 4891, 1628, 741, 4390, 547, 4339, 4914, 536, 686, 25053, 998, 4745, 19014, 543, 9263, 3562, 24406, 518, 2866, 3976, 7175, 519, 1876, 11268, 8128, 540, 891, 2477, 547, 1732, 8495, 543, 7254, 794, 7986, 4914, 536, 686, 25053, 2665, 563, 763, 2136, 2276, 685, 18001, 476, 275, 1867, 729, 7550, 676, 519, 31232, 11554, 6828, 593, 645, 686, 25053, 593, 476, 1626, 5239, 476, 1708, 271, 269, 634, 1867, 8638, 519, 7840, 519, 11554, 6828, 1500, 547, 519, 2136, 2276, 593, 3817, 476, 9340, 268, 13647, 267, 543, 2882, 606, 7650, 540, 2487, 11268, 2534, 543, 1808, 3656, 267, 3609, 267, 543, 12250, 2934, 540, 519, 2136, 2276, 685, 5943, 585, 8165, 4914, 536, 686, 25053, 269, 769, 13076, 609, 519, 3044, 5650, 267, 519, 2136, 2276, 786, 10505, 513, 2854, 1867, 547, 519, 11554, 6828, 1369, 1079, 1296, 630, 19751, 476, 1708, 273, 264, 593, 922, 6388, 540, 782, 7840, 543, 922, 11268, 3646, 269, 901, 1867, 786, 849, 581, 1500, 15597, 2139, 563, 763, 1867, 568, 851, 540, 519, 31232, 11554, 6828, 593, 645, 686, 25053, 779, 8772, 5123, 540, 5464, 267, 9250, 538, 476, 1001, 277, 269, 18001, 476, 275, 5654, 693, 519, 11117, 2197, 779, 1880, 2591, 543, 2318, 10781, 269, 898, 849, 7710, 2152, 971, 607, 7020, 267, 11268, 267, 9746, 15668, 267, 543, 3486, 1071, 268, 7774, 267, 607, 1134, 607, 8720, 796, 637, 9407, 2152, 689, 1991, 5359, 563, 763, 7984, 7217, 10261, 1280, 11572, 11059, 2201, 8693, 7827, 769, 3162, 5607, 454, 763, 8471, 13618, 593, 2916, 1689, 568, 519, 991, 540, 519, 5662, 269, 634, 3955, 32744, 19937, 593, 8693, 7827, 814, 9672, 2483, 306, 686, 20092, 2052, 12706, 7982, 14568, 689, 5046, 268, 866, 543, 7464, 1125, 32213, 12618, 454, 763, 2622, 7813, 779, 1007, 13474, 10615, 585, 5689, 323, 1161, 267, 18310, 543, 16444, 20092, 267, 10787, 529, 16874, 611, 19053, 969, 657, 267, 6192, 1010, 1101, 3643, 547, 16444, 2483, 19465, 2342, 779, 8892, 454, 4002, 5437, 476, 1240, 267, 476, 1708, 271, 267, 19264, 26513, 23448, 867, 2435, 543, 1773, 523, 760, 582, 550, 10706, 540, 519, 8549, 6243, 540, 5125, 547, 519, 6739, 18966, 717, 2946, 5633, 27055, 553, 2483, 305, 17892, 267, 11569, 267, 16849, 547, 4000, 1107, 3081, 27737, 16384, 528, 5651, 9926, 990, 454, 4002, 5437, 476, 2537, 267, 6739, 7354, 2209, 267, 14288, 2103, 267, 12824, 543, 20226, 10356, 547, 1865, 519, 13143, 540, 1875, 268, 5570, 617, 885, 547, 4000, 693, 519, 2483, 5575, 540, 2185, 6167, 19493, 2011, 331, 22284, 585, 18629, 15076, 3338, 538, 10609, 691, 537, 332, 454, 2304, 20987, 16041, 609, 19493, 7727, 585, 1004, 7904, 4370, 5208, 538, 18629, 779, 570, 580, 2001, 3148, 814, 8452, 538, 519, 20528, 3150, 3854, 2483, 296, 3918, 2793, 543, 7414, 7991, 7788, 8784, 17434, 27557, 547, 30205, 18401, 454, 763, 4139, 24997, 6052, 10837, 630, 296, 3918, 2793, 264, 543, 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 ]
[ 713, 1383, 267, 621, 568, 1271, 547, 4063, 519, 2126, 540, 519, 15558, 538, 519, 5276, 27667, 269, 634, 1880, 5079, 585, 519, 3095, 543, 13065, 3252, 616, 711, 4143, 547, 519, 10626, 540, 519, 15558, 780, 19350, 267, 649, 9414, 519, 946, 540, 606, 15558, 609, 853, 1092, 779, 1350, 332, 4971, 269, 3245, 606, 2079, 4843, 538, 3184, 476, 1321, 2073, 2015, 519, 3977, 540, 519, 1739, 2203, 1384, 2171, 1131, 899, 547, 1449, 2436, 519, 11664, 593, 3043, 568, 3160, 547, 910, 271, 269, 736, 1547, 1284, 1223, 946, 853, 1092, 779, 1449, 4971, 547, 3489, 513, 9546, 323, 1449, 692, 11687, 3043, 15871, 269, 736, 454, 263, 272, 264, 1496, 32221, 316, 3043, 1269, 15871, 269, 273, 14204, 17961, 25410, 348, 1422, 28072, 4067, 346, 14024, 12917, 272, 264, 1299, 815, 1299, 476, 273, 269, 10695, 1422, 1422, 3667, 2715, 11525, 7684, 285, 315, 28072, 4067, 346, 14024, 273, 348, 1299, 815, 1299, 476, 271, 269, 6021, 273, 275, 1422, 754, 25410, 8679, 6518, 6920, 602, 910, 271, 269, 1428, 630, 1723, 324, 2310, 593, 3043, 264, 568, 711, 3648, 1114, 693, 513, 1269, 276, 1422, 260, 259, 1377, 689, 910, 271, 269, 736, 1547, 1717, 267, 649, 1616, 547, 946, 513, 10171, 268, 7806, 1470, 1449, 267, 799, 568, 2356, 513, 811, 6325, 1449, 540, 9936, 7447, 4644, 269, 853, 1092, 2488, 513, 4971, 602, 8637, 519, 10171, 689, 519, 19727, 24071, 2203, 630, 629, 913, 264, 543, 1287, 19776, 621, 609, 513, 11658, 2203, 269, 11109, 3514, 519, 19727, 24071, 2203, 267, 938, 3007, 1631, 7140, 547, 17501, 513, 2203, 17598, 938, 1808, 1305, 540, 10148, 269, 3776, 23061, 568, 602, 519, 11664, 593, 3043, 581, 11658, 547, 519, 3586, 1871, 910, 271, 269, 736, 16317, 23946, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 28786, 26033, 481, 692, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 23946, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 28786, 19540, 503, 2102, 1968, 1242, 5276, 2203, 28786, 26033, 481, 347, 22091, 11228, 1920, 692, 2330, 325, 14729, 12169, 6902, 1422, 9064, 267, 1422, 12978, 21174, 10339, 1422, 3847, 3189, 2765, 26635, 1422, 9064, 1532, 7268, 9064, 20972, 320, 7268, 12978, 14587, 266, 322, 12169, 267, 1422, 12978, 9385, 2431, 15732, 2330, 325, 3709, 344, 318, 272, 267, 586, 318, 273, 267, 1422, 24126, 267, 586, 5332, 4153, 3847, 12169, 318, 272, 267, 586, 318, 273, 267, 1422, 24126, 267, 586, 5332, 6902, 1422, 9064, 267, 1422, 12978, 9368, 21174, 2889, 323, 3709, 328, 284, 272, 11892, 333, 1422, 10339, 1422, 3847, 3189, 2765, 26635, 10983, 1422, 9064, 10983, 1532, 13375, 7268, 9064, 10983, 9368, 20972, 320, 7268, 12978, 14587, 266, 322, 13375, 12169, 10983, 267, 1422, 12978, 9368, 9385, 2431, 15732, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 23946, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 28786, 19540, 503, 2102, 1968, 1242, 5276, 2203, 28786, 26033, 481, 347, 7078, 281, 4635, 606, 15558, 538, 513, 23834, 300, 692, 263, 272, 264, 1496, 32221, 316, 3043, 1269, 15871, 269, 273, 14204, 17961, 25410, 348, 1422, 28072, 4067, 346, 14024, 12917, 272, 264, 1299, 815, 1299, 476, 273, 269, 10695, 1422, 1422, 3667, 2715, 11525, 7684, 285, 315, 28072, 4067, 346, 14024, 273, 348, 1299, 815, 1299, 476, 271, 269, 6021, 273, 275, 1422, 754, 25410, 10926, 20069, 30522, 494, 30317, 25913, 25622, 28786, 19540, 503, 692, 339, 520, 2524, 2000, 629, 30853, 20992, 4970, 497, 4970, 504, 7511, 419, 499, 503, 27730, 13200, 509, 10951, 491, 20693, 350, 10951, 374, 22909, 482, 8147, 14035, 504, 23946, 368, 23521, 354, 26266, 366, 20992, 419, 378, 492, 18713, 377, 18998, 420, 489, 365, 18713, 377, 18998, 20693, 510, 418, 489, 379, 27962, 18998, 418, 378, 367, 418, 368, 366, 419, 511, 487, 419, 499, 503, 27730, 419, 481, 511, 25426, 357, 17295, 364, 7511, 27730, 13200, 509, 418, 493, 494, 28032, 505, 4970, 497, 4970, 504, 7511, 27730, 10951, 363, 10951, 491, 20693, 350, 8147, 25060, 483, 418, 489, 361, 12916, 484, 21251, 30522, 494, 30678, 13625, 28786, 19540, 503, 8147, 10112, 9892, 28786, 19540, 503, 8147, 291, 1170, 10488, 28786, 19540, 503, 8147, 27751, 28786, 19540, 503, 8147, 16533, 493, 14756, 482, 30853, 4970, 504, 28786, 19540, 503, 8147, 3682, 27760, 28786, 19540, 503, 8147, 26261, 28786, 19540, 503, 8147, 303, 19948, 28786, 19540, 503, 8147, 18777, 350, 28997, 501, 10951, 374, 30853, 4970, 504, 28786, 19540, 503, 8147, 18777, 374, 24757, 32517, 362, 418, 498, 373, 25520, 418, 370, 355, 420, 487, 366, 8147, 419, 377, 495, 13644, 378, 28786, 417, 479, 504, 8147, 1410, 600, 28786, 26033, 481, 419, 511, 487, 419, 511, 487, 12486, 19540, 503, 30853, 420, 490, 481, 18713, 368, 418, 370, 369, 25203, 500, 421, 360, 502, 18809, 8147, 10951, 361, 26175, 495, 8147, 419, 510, 498, 419, 358, 370, 13200, 509, 419, 511, 487, 418, 369, 371, 14035, 500, 419, 499, 503, 27730, 10429, 357, 421, 502, 370, 418, 362, 369, 8147, 20001, 494, 16533, 482, 19404, 495, 420, 508, 491, 8147, 14756, 493, 418, 369, 492, 27730, 8147, 25263, 504, 18777, 350, 27730, 8147, 14395, 350, 18777, 350, 27730, 8147, 28997, 350, 419, 494, 484, 27730, 419, 511, 487, 10429, 357, 419, 494, 481, 4200, 260, 4970, 497, 4970, 504, 26175, 495, 25203, 362, 12486, 19540, 503, 30853, 18713, 351, 421, 502, 509, 20721, 351, 20069, 4970, 497, 4970, 504, 420, 489, 365, 13644, 511, 30006, 491, 13644, 511, 30853, 26033, 483, 8147, 18263, 509, 20069, 418, 369, 371, 14035, 500, 12571, 491, 21550, 350, 419, 350, 499, 22287, 504, 419, 499, 503, 27730, 13200, 509, 8147, 30006, 493, 12916, 491, 19540, 503, 30853, 26033, 479, 27747, 486, 421, 25693, 418, 489, 354, 20069, 13213, 485, 419, 350, 361, 7511, 13644, 511, 420, 357, 478, 420, 25693, 20693, 505, 8147, 4970, 497, 4970, 504, 7511, 27730, 26175, 495, 420, 481, 490, 418, 503, 363, 25520, 27730, 10951, 363, 19540, 503, 30853, 14756, 493, 421, 359, 490, 12486, 16043, 495, 10524, 361, 19867, 379, 13644, 374, 1911, 260, 31308, 509, 10254, 505, 8147, 1911, 260, 4970, 497, 4970, 504, 8147, 1911, 260, 16583, 484, 28793, 8147, 1911, 260, 418, 375, 350, 418, 482, 493, 12486, 692, 21316, 25278, 28786, 19540, 503, 692, 21316, 25278, 476, 15159, 13601, 26175, 491, 17958, 30678, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 7511, 421, 360, 502, 26233, 356, 420, 25693, 13644, 511, 420, 357, 478, 12486, 14395, 481, 16533, 484, 18777, 350, 28997, 501, 18998, 23746, 25335, 484, 25060, 500, 25520, 419, 376, 500, 31801, 489, 421, 505, 484, 29873, 21928, 22047, 13107, 497, 30678, 12916, 379, 17958, 7511, 27064, 363, 417, 351, 481, 18809, 8147, 10429, 370, 18809, 25426, 362, 30903, 502, 25520, 25335, 352, 19540, 367, 25913, 418, 350, 486, 23284, 419, 484, 509, 418, 480, 487, 7511, 12255, 27730, 31033, 9463, 371, 23989, 419, 353, 374, 12486, 10429, 372, 417, 508, 489, 17958, 20881, 498, 25060, 483, 418, 489, 361, 16088, 12255, 27730, 25520, 18777, 350, 28997, 501, 28997, 501, 25622, 19764, 478, 9463, 495, 417, 375, 374, 418, 357, 350, 18998, 10524, 379, 419, 506, 509, 25520, 31308, 509, 417, 508, 489, 10254, 370, 30853, 12255, 29004, 362, 26166, 22909, 494, 18998, 26406, 351, 27381, 351, 25520, 23746, 25335, 484, 25060, 500, 26175, 495, 27730, 25520, 26266, 354, 31801, 489, 18713, 378, 25051, 351, 18021, 498, 17958, 31801, 489, 31365, 19764, 478, 9463, 495, 8147, 25060, 483, 418, 489, 361, 18713, 378, 25051, 351, 17958, 16043, 371, 419, 499, 490, 30837, 351, 22909, 482, 417, 375, 374, 21316, 25278, 476, 15159, 22047, 11590, 353, 11590, 496, 19764, 493, 419, 367, 375, 14756, 509, 8147, 10429, 370, 417, 509, 374, 10951, 361, 12255, 29004, 362, 30317, 27381, 510, 15159, 22047, 21251, 421, 506, 478, 28884, 14756, 368, 18021, 355, 7511, 12255, 14756, 482, 12486, 30244, 12916, 379, 418, 480, 357, 23746, 23284, 25335, 352, 19540, 367, 18777, 372, 14035, 504, 418, 488, 478, 10951, 363, 18777, 350, 28997, 501, 25426, 362, 30903, 502, 8147, 16533, 353, 10429, 370, 15159, 421, 480, 352, 11590, 505, 10429, 371, 20069, 419, 509, 358, 421, 502, 369, 25520, 12571, 495, 19404, 493, 10429, 361, 19764, 493, 7511, 25426, 362, 30903, 502, 8147, 26033, 490, 9463, 359, 421, 506, 478, 17958, 595, 476, 16043, 500, 10783, 3757, 22614, 511, 487, 21550, 485, 19404, 493, 30837, 508, 11590, 353, 11590, 496, 19764, 493, 13644, 511, 420, 357, 478, 419, 376, 500, 19540, 503, 31801, 489, 31365, 19867, 478, 421, 506, 478, 7511, 28793, 25426, 368, 7511, 13601, 16533, 493, 421, 481, 357, 26166, 12486, 21316, 25278, 476, 12571, 491, 26175, 364, 28786, 23989, 419, 509, 358, 421, 502, 369, 14395, 508, 421, 359, 490, 14395, 353, 12486, 21316, 25278, 476, 31006, 10254, 507, 7511, 419, 376, 500, 19540, 503, 25203, 362, 7511, 15159, 418, 493, 494, 28032, 505, 28098, 13200, 365, 700, 2562, 303, 19272, 13127, 23687, 661, 3041, 303, 19272, 28859, 350, 373, 25203, 362, 19764, 478, 9463, 495, 7511, 419, 509, 358, 421, 502, 369, 420, 377, 363, 10524, 370, 7511, 420, 377, 375, 23521, 378, 18777, 379, 25426, 362, 8147, 30244, 4970, 353, 14748, 421, 350, 373, 25203, 362, 10429, 365, 12571, 490, 28786, 23989, 29072, 419, 509, 358, 421, 502, 369, 18777, 350, 28997, 501, 420, 377, 363, 10524, 370, 7511, 31006, 13161, 364, 418, 488, 478, 10951, 363, 12486, 21316, 25278, 476, 14756, 493, 13213, 485, 14035, 504, 23946, 368, 7511, 9463, 495, 31271, 499, 8147, 23523, 501, 28996, 29072, 18777, 372, 14035, 504, 17958, 16043, 371, 7511, 418, 488, 499, 24662, 12486, 21928, 27962, 27730, 27064, 363, 417, 351, 481, 18809, 8147, 14395, 481, 15159, 12255, 27730, 18998, 26266, 354, 31801, 489, 25520, 26175, 495, 27730, 24662, 25426, 357, 25520, 421, 360, 502, 419, 374, 356, 13644, 378, 31801, 489, 7511, 21550, 485, 16583, 484, 10533, 503, 27730, 26266, 354, 10429, 371, 12486, 21928, 26266, 354, 4970, 504, 30903, 484, 417, 509, 509, 8147, 21316, 25278, 476, 15159, 421, 360, 502, 10533, 486, 419, 510, 498, 419, 358, 370, 18998, 19764, 478, 9463, 495, 25520, 26166, 22909, 494, 7511, 421, 355, 500, 20881, 487, 26266, 354, 10429, 371, 12486, 21316, 25278, 476, 10429, 371, 20069, 13601, 419, 367, 375, 28578, 26175, 364, 20992, 26266, 354, 10429, 371, 28997, 365, 7511, 29830, 373, 27936, 30678, 18021, 498, 17958, 31801, 489, 31365, 7511, 25335, 352, 19540, 367, 25913, 418, 350, 486, 12486, 28098, 30678, 27962, 14035, 504, 12255, 30731, 476, 17958, 16043, 371, 23521, 354, 13644, 368, 30837, 508, 27747, 372, 19404, 491, 28884, 8147, 26266, 354, 10429, 371, 28997, 365, 10429, 479, 18777, 372, 418, 480, 357, 27730, 18263, 510, 18021, 498, 17958, 4970, 497, 4970, 504, 418, 488, 478, 10951, 363, 12486, 26266, 354, 10429, 371, 28997, 365, 15159, 30731, 13127, 485, 30936, 27818, 300, 476, 24757, 10524, 370, 24724, 7511, 14756, 376, 12571, 486, 421, 505, 484, 12571, 486, 8147, 23746, 19867, 358, 31271, 499, 30731, 22614, 492, 363, 417, 351, 481, 23284, 25335, 352, 19540, 367, 29830, 373, 27936, 32352, 10254, 360, 7511, 25426, 362, 30903, 502, 12486, 23746, 17958, 26266, 354, 10429, 371, 28997, 365, 7511, 30903, 484, 417, 509, 509, 25060, 483, 418, 489, 361, 32517, 350, 9463, 371, 14035, 482, 419, 494, 484, 18998, 26406, 356, 10254, 370, 419, 367, 375, 14756, 509, 18998, 419, 354, 508, 14756, 493, 419, 377, 495, 14756, 506, 18998, 418, 357, 350, 419, 367, 488, 20881, 375, 20001, 495, 18998, 16533, 493, 21796, 351, 18998, 10524, 379, 419, 506, 509, 419, 511, 487, 12486, 692, 14756, 509, 18777, 350, 28786, 19540, 503, 347, 23946, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 28786, 19540, 503, 2102, 1968, 1242, 5276, 2203, 28786, 26033, 481, 347, 10292, 5308, 7597, 275, 271, 692, 560, 520, 2524, 2000, 629, 12814, 476, 20992, 418, 480, 357, 7511, 419, 499, 503, 27730, 13200, 509, 418, 370, 363, 32517, 507, 421, 358, 378, 418, 488, 353, 420, 486, 359, 13127, 506, 357, 28786, 19540, 503, 23946, 379, 18263, 487, 419, 374, 379, 26233, 356, 418, 357, 350, 417, 508, 489, 2102, 1968, 1242, 5276, 2203, 25913, 30837, 351, 26266, 366, 14756, 493, 21550, 495, 419, 360, 489, 29072, 420, 485, 359, 26266, 365, 7511, 9463, 352, 419, 351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8084, 281, 6796, 5584, 687, 454, 763, 960, 4079, 798, 563, 763, 1871, 568, 8956, 267, 799, 1797, 547, 2760, 9114, 267, 31376, 267, 610, 21102, 563, 2690, 3106, 267, 649, 3580, 1451, 875, 547, 1832, 6000, 2922, 538, 519, 1216, 543, 538, 519, 3141, 563, 11073, 2515, 649, 3580, 1404, 2699, 1769, 270, 13582, 1769, 267, 2097, 2059, 267, 543, 538, 519, 16095, 563, 763, 8964, 649, 3580, 581, 13465, 616, 15775, 547, 5700, 1411, 267, 898, 779, 513, 9540, 2622, 267, 8414, 13185, 267, 7327, 532, 538, 519, 14175, 267, 543, 595, 2255, 513, 12096, 532, 10060, 563, 2690, 3860, 5559, 18267, 649, 3580, 1451, 827, 1585, 6808, 4191, 269, 634, 1034, 1187, 835, 568, 827, 737, 30865, 5622, 15385, 563, 5978, 1148, 2238, 616, 23001, 7660, 11058, 267, 6288, 678, 9734, 2458, 720, 267, 7128, 22514, 267, 9920, 779, 12689, 267, 543, 15072, 5373, 563, 2690, 5179, 1646, 267, 649, 3580, 960, 593, 26176, 2088, 609, 17259, 795, 2931, 267, 4881, 1747, 267, 2656, 19704, 267, 543, 3276, 701, 525, 269, 1280, 22514, 24212, 1599, 649, 3580, 1404, 13131, 5066, 267, 9420, 19507, 6367, 1782, 267, 3808, 532, 4703, 267, 543, 14595, 1000, 26325, 563, 310, 14176, 29376, 292, 744, 7473, 11298, 2464, 301, 685, 307, 20796, 298, 454, 307, 655, 704, 21915, 337, 4548, 543, 3765, 2041, 8326, 689, 1453, 616, 1360, 1454, 899, 513, 15319, 11563, 267, 28077, 909, 9224, 267, 610, 513, 8611, 269, 2353, 616, 2589, 269, 2353, 723, 3123, 267, 543, 8156, 519, 2589, 1281, 711, 4894, 519, 2014, 269, 1879, 3237, 543, 3610, 7157, 13209, 543, 1683, 14319, 602, 2232, 519, 2115, 540, 1453, 267, 519, 2589, 540, 24986, 610, 3765, 2041, 8326, 786, 849, 14897, 563, 4462, 5471, 2115, 616, 13943, 693, 1022, 2085, 267, 855, 621, 568, 811, 865, 585, 1453, 1813, 547, 741, 8200, 2470, 269, 8479, 1453, 3668, 519, 2702, 547, 2743, 741, 1378, 2115, 267, 543, 2394, 513, 1978, 2085, 267, 616, 9308, 8572, 547, 798, 513, 2603, 540, 1582, 13282, 4247, 269, 4256, 1419, 7920, 856, 10767, 7370, 6565, 689, 713, 24858, 21341, 267, 13745, 609, 741, 17418, 547, 20496, 17140, 1134, 269, 769, 1840, 267, 1082, 1453, 616, 8572, 547, 2697, 519, 21616, 2115, 602, 616, 1818, 873, 13347, 269, 901, 2306, 621, 7543, 547, 2995, 741, 3237, 1018, 568, 21898, 532, 873, 563, 1607, 568, 711, 513, 2352, 1523, 547, 9787, 269, 1306, 4079, 267, 649, 1174, 602, 938, 23947, 4991, 2731, 8886, 762, 593, 10732, 12784, 610, 10543, 267, 711, 1317, 519, 1920, 568, 3478, 593, 1010, 13285, 267, 855, 1317, 646, 779, 9027, 908, 513, 9157, 3018, 693, 960, 4098, 14182, 563, 2691, 649, 4431, 547, 938, 1453, 676, 711, 5870, 741, 2115, 267, 610, 8338, 267, 676, 5248, 908, 873, 538, 513, 968, 5503, 856, 892, 1747, 267, 711, 1152, 568, 519, 1126, 7142, 547, 22036, 519, 991, 602, 729, 711, 1558, 855, 849, 519, 10072, 540, 1373, 7142, 2476, 689, 519, 2385, 1352, 6499, 547, 581, 609, 267, 14560, 267, 543, 12346, 593, 269, 5047, 267, 1373, 4805, 538, 942, 856, 666, 1711, 3606, 23892, 4606, 602, 519, 1126, 1590, 22036, 267, 971, 607, 4250, 543, 5855, 269, 589, 21616, 1126, 945, 1590, 1694, 23900, 543, 4805, 538, 942, 856, 4749, 3587, 14220, 269, 4014, 646, 546, 4100, 711, 2769, 713, 10845, 950, 538, 942, 856, 267, 1453, 1419, 2769, 621, 676, 4742, 14220, 543, 1219, 5050, 28069, 1310, 1373, 5950, 689, 942, 856, 269, 5384, 856, 15920, 519, 5048, 602, 4664, 616, 547, 581, 1065, 5962, 267, 3006, 4611, 538, 14432, 12003, 5615, 971, 607, 17970, 24146, 610, 8913, 21794, 693, 9660, 269, 9861, 23387, 540, 3020, 4606, 666, 1831, 513, 8984, 4183, 540, 513, 1268, 685, 1272, 267, 4227, 1582, 18221, 543, 7133, 1200, 2298, 540, 1272, 11014, 563, 2171, 666, 1020, 1134, 15515, 6409, 539, 267, 1582, 16162, 4184, 1441, 1453, 1655, 676, 19100, 543, 11179, 5870, 513, 1126, 779, 1646, 958, 3339, 2115, 543, 11479, 282, 676, 11744, 543, 13994, 6819, 1480, 324, 2418, 538, 1554, 3562, 6377, 4205, 609, 519, 1126, 282, 543, 676, 20392, 519, 1126, 547, 1272, 2833, 602, 7794, 543, 12927, 891, 2418, 269, 1879, 1453, 616, 9308, 2635, 267, 1134, 5991, 712, 1639, 267, 4794, 26476, 1176, 27361, 543, 711, 13110, 267, 741, 2596, 3339, 2168, 2115, 616, 1373, 1558, 269, 4256, 1514, 543, 3929, 2115, 616, 24009, 950, 789, 4309, 6190, 3007, 267, 15754, 267, 543, 6284, 689, 519, 1004, 1352, 14560, 269, 898, 779, 513, 7381, 1931, 585, 721, 267, 855, 1945, 602, 649, 6157, 666, 7649, 1927, 585, 519, 1134, 1373, 540, 938, 1453, 563, 4002, 519, 25038, 454, 5319, 5341, 618, 15099, 1107, 901, 568, 519, 4098, 540, 938, 3126, 593, 519, 4079, 938, 1453, 786, 1831, 269, 634, 6679, 5037, 6238, 856, 968, 29909, 782, 4079, 960, 269, 1703, 616, 6266, 540, 1114, 5686, 540, 960, 1848, 901, 1101, 3018, 568, 593, 519, 3028, 22825, 267, 799, 616, 1346, 585, 799, 649, 1810, 1406, 2628, 585, 2047, 269, 1358, 949, 581, 538, 513, 2229, 610, 3454, 23418, 9285, 2816, 610, 835, 538, 513, 1875, 17416, 3919, 6462, 676, 23190, 269, 3683, 519, 1985, 3923, 267, 596, 3580, 1616, 547, 581, 6213, 547, 707, 1453, 779, 2055, 827, 519, 960, 1585, 4079, 798, 563, 17746, 2315, 1107, 623, 30972, 519, 3190, 1247, 649, 723, 960, 2944, 593, 938, 19209, 338, 547, 4188, 519, 1377, 269, 1280, 827, 513, 3018, 18736, 1282, 4584, 909, 543, 6749, 1055, 666, 581, 4101, 596, 1522, 1616, 547, 4188, 547, 707, 942, 547, 22771, 585, 1022, 17799, 563, 12850, 7591, 1107, 901, 2241, 1404, 568, 513, 26497, 585, 938, 1453, 1169, 4832, 269, 1284, 3580, 2253, 593, 4873, 476, 280, 282, 596, 3580, 991, 547, 3142, 513, 24621, 13042, 609, 2875, 779, 2012, 1216, 10887, 543, 513, 1689, 540, 9660, 269, 1284, 3580, 723, 1216, 1404, 1169, 11016, 2429, 519, 4832, 543, 593, 1216, 1404, 1554, 779, 1053, 1058, 12446, 547, 1153, 538, 741, 7669, 9660, 563, 24836, 706, 566, 1107, 5556, 17894, 547, 519, 1362, 540, 476, 1001, 278, 282, 2549, 7942, 267, 10906, 543, 2997, 320, 269, 898, 814, 1044, 938, 12257, 547, 7198, 519, 10781, 540, 938, 20021, 269, 898, 779, 942, 547, 2161, 968, 14187, 1532, 6614, 892, 938, 942, 814, 2097, 547, 606, 1439, 269, 1411, 1500, 930, 19644, 8823, 609, 782, 707, 9251, 2828, 269, 1411, 14478, 1142, 824, 1451, 543, 1332, 543, 1689, 689, 1554, 547, 1554, 269, 1284, 917, 602, 782, 519, 1919, 596, 4076, 2944, 786, 948, 596, 2059, 519, 1259, 269, 1924, 621, 779, 609, 6126, 8823, 649, 4585, 596, 979, 856, 519, 7450, 267, 609, 1390, 6788, 585, 1018, 1985, 1032, 814, 538, 4558, 269, 0, 17780, 593, 519, 3232, 5021, 1379, 4452, 2418, 538, 808, 532, 345, 17924, 267, 808, 532, 5443, 267, 962, 747, 836, 267, 2473, 1014, 940, 543, 2672, 714, 17924, 2127, 540, 670, 4209, 328, 19435, 689, 476, 1220, 279, 547, 476, 1001, 280, 543, 519, 14368, 1670, 1239, 540, 3084, 14368, 1670, 8343, 10473, 538, 519, 1482, 1974, 267, 519, 3347, 1063, 519, 1689, 2557, 540, 5021, 14368, 1670, 4452, 630, 299, 10975, 1070, 2185, 4313, 30455, 971, 607, 2837, 543, 11195, 4994, 630, 296, 1070, 14368, 1670, 6213, 4452, 4994, 630, 5960, 299, 296, 1070, 1480, 4313, 630, 4953, 264, 543, 1474, 520, 657, 29022, 2837, 4994, 630, 5938, 264, 543, 2837, 941, 9916, 269, 634, 3232, 5021, 1379, 4452, 20925, 3631, 941, 3964, 1759, 593, 519, 1657, 2185, 4313, 30455, 676, 1210, 2789, 9695, 543, 22680, 8849, 3060, 1505, 269, 634, 2164, 1397, 602, 519, 700, 10975, 729, 9797, 17047, 609, 2837, 543, 519, 1657, 2185, 4313, 30455, 538, 4832, 267, 11874, 17047, 538, 5162, 267, 543, 519, 9756, 729, 3648, 2362, 538, 4832, 982, 538, 5162, 269, 634, 2242, 540, 519, 1657, 2185, 4313, 30455, 10128, 2837, 267, 11195, 543, 2842, 3432, 1223, 2014, 519, 1689, 540, 519, 700, 10975, 267, 543, 713, 1689, 729, 811, 6654, 538, 4832, 267, 2523, 538, 5147, 543, 4864, 269, 634, 6959, 540, 22680, 8849, 3060, 2203, 543, 2789, 9695, 2203, 941, 10416, 6417, 1369, 519, 4170, 540, 519, 1379, 8257, 269, 634, 12605, 1198, 540, 22680, 8849, 3060, 729, 1732, 982, 602, 540, 2789, 9695, 269, 769, 519, 2663, 1870, 3498, 267, 621, 729, 6700, 547, 2824, 21180, 4994, 538, 808, 532, 5443, 543, 2473, 1014, 940, 267, 543, 2185, 30455, 538, 824, 4872, 666, 581, 1031, 563, 17780, 593, 519, 2143, 1344, 593, 6771, 1899, 17500, 10880, 543, 14368, 1670, 2609, 1239, 538, 476, 277, 3108, 1354, 6771, 1899, 17500, 16716, 689, 476, 1960, 271, 547, 476, 1001, 278, 538, 1744, 6359, 27927, 16852, 836, 540, 1261, 2041, 328, 19435, 267, 519, 8579, 2409, 971, 607, 12136, 5506, 267, 12136, 4908, 267, 5276, 7678, 543, 2770, 551, 6672, 17931, 941, 1031, 547, 5659, 12136, 2834, 640, 540, 6771, 1899, 17500, 16716, 267, 8390, 540, 12557, 2842, 267, 2604, 267, 3448, 11195, 267, 2011, 2837, 543, 2666, 2837, 538, 476, 277, 3108, 1354, 6771, 1899, 17500, 16716, 269, 1635, 10747, 519, 19469, 12136, 4908, 540, 6771, 1899, 17500, 16716, 267, 519, 14368, 1670, 3693, 10832, 540, 12136, 540, 6771, 1899, 17500, 16716, 941, 5462, 267, 543, 519, 6111, 540, 1377, 12605, 540, 6771, 1899, 17500, 10880, 10913, 538, 808, 532, 343, 532, 10315, 540, 1744, 6359, 27927, 16852, 836, 593, 476, 280, 4864, 476, 1001, 279, 729, 7318, 676, 9236, 519, 10566, 10230, 12605, 609, 519, 13128, 6728, 1239, 269, 634, 2164, 1397, 602, 519, 6771, 1899, 17500, 10880, 10913, 2799, 3648, 543, 972, 941, 1614, 19589, 538, 1744, 6359, 27927, 16852, 836, 538, 2487, 1296, 267, 9648, 5631, 689, 12784, 547, 6640, 538, 4832, 267, 538, 4864, 972, 729, 519, 5207, 5506, 267, 543, 538, 513, 1554, 621, 729, 5207, 689, 476, 6734, 281, 876, 645, 4306, 547, 476, 6860, 281, 876, 645, 4306, 269, 769, 1840, 267, 950, 972, 729, 1574, 614, 569, 2842, 267, 2011, 2604, 543, 3448, 11195, 941, 8375, 267, 610, 950, 2011, 2837, 543, 2244, 2627, 2837, 941, 21177, 267, 6771, 1899, 17500, 10880, 10913, 7018, 4749, 269, 10738, 476, 277, 3108, 267, 950, 2011, 2604, 9782, 676, 476, 271, 269, 271, 268, 273, 269, 271, 554, 25508, 267, 2011, 11195, 2799, 676, 476, 271, 268, 1691, 9077, 2011, 2837, 12628, 676, 476, 271, 268, 274, 269, 271, 21508, 481, 267, 2244, 2627, 2837, 12628, 676, 476, 271, 268, 277, 269, 276, 21508, 481, 267, 543, 609, 519, 7532, 2842, 607, 519, 3844, 2842, 4287, 267, 519, 12557, 2842, 4287, 729, 1369, 519, 2039, 540, 476, 3445, 4113, 267, 519, 12136, 2834, 640, 543, 14368, 1670, 10832, 540, 17500, 16716, 593, 6771, 3515, 941, 1134, 10567, 543, 7318, 593, 476, 280, 4864, 476, 1001, 279, 267, 799, 1185, 1978, 13057, 4644, 585, 7303, 17500, 10880, 10913, 563, 17780, 593, 519, 17500, 5464, 1239, 540, 476, 3451, 17500, 4087, 5464, 10473, 543, 1483, 6066, 17500, 9568, 1239, 540, 476, 4366, 17521, 538, 29305, 327, 2967, 19435, 689, 476, 1001, 271, 547, 476, 1001, 280, 267, 519, 8901, 3892, 543, 1981, 1990, 11238, 540, 17500, 12469, 538, 29305, 327, 2967, 19435, 941, 9916, 676, 1210, 6310, 7194, 543, 20211, 31043, 8901, 2079, 1505, 269, 634, 2164, 1397, 602, 519, 4525, 609, 811, 17500, 4908, 543, 2178, 2318, 543, 2942, 17500, 1699, 8515, 941, 5631, 7856, 538, 519, 3844, 543, 9456, 851, 540, 29305, 327, 2967, 19435, 267, 1247, 519, 2127, 609, 1164, 1871, 540, 19711, 10445, 2395, 941, 5631, 7856, 538, 519, 1627, 27482, 13738, 543, 519, 7013, 851, 540, 29305, 327, 2967, 19435, 269, 634, 17500, 9568, 1981, 4843, 6654, 6237, 15285, 538, 29305, 327, 2967, 19435, 269, 634, 1164, 16151, 4525, 941, 5631, 4092, 538, 31311, 331, 684, 15142, 267, 1627, 27482, 15142, 267, 27526, 664, 336, 550, 836, 331, 3873, 15142, 267, 7345, 534, 4498, 15142, 543, 7102, 9047, 336, 523, 16176, 344, 15142, 267, 607, 1134, 607, 851, 540, 519, 7013, 21737, 1858, 540, 29305, 327, 2967, 19435, 269, 634, 22070, 540, 1627, 4660, 600, 19438, 267, 519, 22703, 29009, 1858, 540, 29305, 327, 2967, 19435, 543, 930, 2127, 1472, 29305, 327, 2967, 8235, 941, 5420, 16151, 2127, 269, 634, 1981, 1377, 538, 1034, 540, 519, 9456, 6694, 1858, 267, 851, 540, 1627, 4660, 600, 19438, 267, 654, 19085, 10008, 836, 543, 16515, 582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30800, 3698, 1292, 10031, 825, 1820, 263, 5635, 6958, 3796, 4433, 903, 27769, 341, 314, 272, 3910, 19523, 27769, 341, 314, 273, 8079, 25589, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5035, 674, 13681, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 12500, 4078, 815, 7183, 454, 1038, 1582, 269, 12898, 815, 7183, 454, 825, 1219, 1305, 6524, 4311, 267, 1354, 2187, 1038, 1948, 1383, 281, 513, 15630, 6524, 6357, 264, 5036, 536, 1354, 513, 454, 1038, 1582, 12500, 4078, 815, 1354, 454, 825, 1219, 1305, 5475, 4311, 267, 1310, 2187, 1038, 1948, 1383, 281, 513, 15630, 5475, 6357, 264, 5036, 536, 1310, 513, 454, 1038, 1582, 269, 12898, 815, 1310, 454, 825, 1219, 1205, 6524, 4311, 2187, 1038, 2132, 1582, 12500, 4078, 454, 825, 1219, 1205, 5475, 4311, 2187, 1038, 2132, 1582, 269, 12898, 454, 825, 1219, 1250, 11243, 4311, 2187, 1038, 2132, 1582, 20508, 28329, 825, 1219, 7696, 263, 520, 9288, 267, 1007, 293, 13681, 2187, 1038, 8173, 1038, 693, 9288, 281, 513, 674, 13681, 602, 568, 851, 540, 513, 6065, 569, 5532, 1592, 454, 1038, 1007, 293, 13681, 281, 476, 513, 674, 13681, 609, 1100, 6402, 587, 481, 454, 1038, 901, 5650, 14013, 7696, 338, 1007, 293, 13681, 883, 519, 5532, 1592, 602, 693, 9288, 568, 513, 851, 540, 269, 8931, 1038, 29185, 1038, 952, 1007, 293, 13681, 269, 3240, 11243, 3890, 2999, 693, 9288, 269, 3240, 11243, 10031, 2018, 1310, 815, 693, 9288, 454, 2018, 1948, 6112, 8520, 602, 5170, 607, 1279, 607, 1007, 293, 13681, 568, 682, 13877, 25140, 1354, 693, 9288, 454, 2018, 1247, 1310, 10947, 6524, 3890, 11203, 7183, 543, 1007, 293, 13681, 269, 3240, 11243, 3890, 2999, 1310, 10947, 6524, 14061, 3240, 11243, 10031, 3546, 1310, 815, 1310, 10947, 6524, 4590, 2018, 1948, 1721, 519, 3693, 1310, 910, 5036, 621, 1310, 1007, 293, 13681, 454, 2018, 1007, 293, 13681, 15630, 5475, 5416, 1123, 994, 2018, 1948, 1721, 519, 3693, 1354, 1310, 910, 5036, 621, 1354, 1007, 293, 13681, 454, 2018, 1007, 293, 13681, 15630, 6524, 5416, 1123, 10947, 6524, 15405, 2018, 952, 1310, 10947, 6524, 3890, 11203, 7183, 912, 3546, 1948, 1721, 519, 3693, 1354, 1310, 910, 5036, 1007, 293, 13681, 1310, 602, 3693, 454, 3546, 1310, 10947, 6524, 14061, 3553, 5475, 28956, 293, 13681, 994, 2018, 1310, 15630, 6524, 28956, 293, 13681, 994, 1038, 3116, 912, 2018, 1354, 815, 693, 9288, 454, 2018, 1948, 6112, 8520, 602, 4422, 555, 745, 5532, 1592, 607, 1279, 607, 693, 9288, 568, 682, 13877, 25140, 1354, 1007, 293, 13681, 454, 2018, 1247, 1354, 10947, 5475, 3890, 11203, 7183, 543, 1007, 293, 13681, 269, 3240, 11243, 3890, 3436, 1354, 10947, 5475, 14061, 3240, 11243, 10031, 3546, 1354, 815, 1354, 10947, 5475, 4590, 2018, 1948, 1721, 3693, 1310, 1354, 910, 1305, 621, 1310, 1007, 293, 13681, 454, 2018, 1007, 293, 13681, 15630, 5475, 6357, 4078, 10947, 5475, 15405, 2018, 1948, 1721, 3693, 1354, 910, 1305, 621, 1354, 1007, 293, 13681, 454, 2018, 1007, 293, 13681, 15630, 6524, 6357, 4078, 994, 2018, 952, 1354, 10947, 5475, 3890, 11203, 7183, 912, 3546, 1948, 1721, 519, 3693, 1310, 1354, 910, 5036, 1007, 293, 13681, 1354, 621, 454, 3546, 1354, 10947, 5475, 14061, 3553, 6524, 28956, 293, 13681, 994, 2018, 1948, 3553, 1007, 293, 13681, 1310, 1354, 454, 2018, 1354, 15630, 5475, 28956, 293, 13681, 994, 13872, 825, 1219, 1265, 293, 3224, 263, 11034, 2187, 1038, 8173, 1038, 1376, 281, 513, 674, 13681, 602, 568, 851, 540, 513, 6065, 569, 5532, 1592, 454, 1038, 7024, 281, 519, 674, 13681, 693, 519, 4098, 540, 519, 5532, 1592, 3097, 1038, 8173, 1038, 1354, 815, 1376, 10947, 6524, 4590, 1038, 952, 1354, 2652, 7183, 912, 2018, 2132, 1376, 454, 1038, 3116, 912, 2018, 2132, 1265, 293, 3224, 263, 11034, 10947, 6524, 15405, 0, 12248, 815, 476, 271, 454, 338, 815, 1412, 1794, 322, 321, 984, 984, 1122, 724, 752, 331, 7055, 1721, 1775, 538, 2039, 12759, 4433, 9984, 273, 2187, 825, 952, 1412, 321, 984, 262, 538, 521, 5157, 281, 328, 266, 274, 14158, 1038, 1293, 6834, 476, 272, 454, 2745, 9497, 10831, 540, 2053, 7585, 4386, 568, 281, 834, 1341, 1193, 6262, 870, 4917, 0, 5814, 556, 454, 5814, 796, 728, 13892, 7531, 3698, 2012, 15461, 24512, 9638, 3205, 12173, 2187, 825, 2132, 1268, 12173, 21858, 3488, 30386, 258, 8237, 519, 2016, 2012, 593, 16543, 335, 2167, 7531, 3698, 5022, 15461, 24512, 9638, 3205, 12173, 2187, 825, 27608, 12173, 815, 547, 318, 869, 27664, 9638, 3205, 12173, 994, 825, 2132, 1496, 331, 585, 561, 538, 27608, 12173, 2639, 258, 2490, 519, 2016, 2012, 538, 606, 5044, 540, 922, 5022, 7531, 3698, 547, 318, 869, 27664, 27182, 2187, 825, 2132, 2262, 31573, 4590, 258, 2490, 1022, 2262, 547, 27608, 7531, 3698, 5372, 318, 3147, 757, 27182, 2187, 825, 2132, 796, 728, 13892, 26509, 728, 13892, 27182, 994, 258, 5372, 1022, 4484, 609, 31126, 547, 519, 1482, 835, 1510, 621, 7531, 3698, 19472, 12173, 9638, 3205, 12173, 2187, 825, 2012, 815, 5372, 318, 3147, 757, 9638, 3205, 12173, 994, 825, 2012, 815, 2012, 18622, 2897, 3488, 318, 3299, 1412, 30386, 825, 2012, 815, 556, 16553, 3488, 314, 317, 513, 22271, 288, 19053, 316, 3299, 1412, 3299, 547, 318, 869, 27664, 28442, 4917, 825, 2132, 2012, 454, 258, 19472, 519, 2016, 2012, 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 ]
[ 1131, 723, 547, 581, 12193, 6746, 1227, 263, 286, 1070, 799, 1058, 711, 581, 513, 2462, 4308, 269, 634, 6491, 1399, 27497, 1399, 851, 1131, 29780, 519, 744, 14701, 7954, 883, 519, 2407, 31745, 528, 2203, 543, 10240, 1154, 1524, 782, 519, 4773, 693, 519, 6302, 780, 3086, 267, 649, 666, 3442, 1896, 18817, 267, 552, 3052, 269, 5899, 836, 5336, 1105, 4157, 11346, 24590, 692, 5586, 272, 2433, 744, 14701, 454, 5586, 273, 2433, 29172, 623, 14701, 454, 5586, 274, 281, 744, 14701, 692, 528, 1256, 2757, 5084, 296, 799, 666, 1405, 581, 8338, 982, 519, 1582, 22286, 698, 749, 566, 2469, 593, 1934, 692, 10059, 2517, 1721, 636, 9884, 559, 332, 2714, 2593, 270, 1613, 339, 8084, 21703, 286, 325, 284, 4097, 261, 339, 284, 1911, 5325, 275, 454, 10674, 2517, 4178, 6155, 21648, 574, 21129, 2574, 2593, 454, 10674, 2517, 4178, 6155, 21648, 574, 8542, 331, 692, 9336, 5384, 1284, 17546, 513, 4132, 23985, 267, 1284, 5901, 13924, 689, 18023, 532, 898, 13924, 1345, 454, 297, 6756, 13100, 27600, 692, 2704, 534, 454, 15803, 281, 476, 1911, 2918, 454, 16274, 281, 5412, 476, 866, 628, 267, 476, 1220, 272, 267, 476, 275, 281, 4905, 993, 454, 19613, 281, 4993, 454, 23086, 1384, 2162, 1234, 281, 6168, 6061, 513, 3560, 3830, 692, 11039, 267, 596, 4312, 29860, 547, 513, 811, 2352, 1966, 269, 594, 729, 13288, 547, 519, 1826, 540, 1966, 11540, 585, 1269, 340, 12169, 25722, 7751, 780, 7775, 267, 811, 3622, 267, 519, 1505, 1058, 960, 585, 692, 259, 340, 4671, 815, 536, 12169, 264, 579, 14729, 910, 524, 12169, 264, 579, 1341, 737, 12169, 25722, 7751, 609, 1269, 340, 12169, 267, 271, 264, 815, 535, 12169, 7751, 563, 8310, 12995, 676, 21142, 593, 5130, 476, 2764, 628, 267, 476, 1708, 271, 267, 476, 274, 281, 6321, 10681, 267, 12995, 476, 273, 2053, 538, 2698, 780, 290, 1276, 592, 664, 333, 454, 15803, 281, 476, 277, 1428, 1240, 454, 16274, 281, 5147, 476, 1626, 628, 267, 476, 1220, 275, 267, 476, 278, 281, 4343, 993, 454, 19613, 281, 24545, 454, 23086, 1384, 2162, 1234, 281, 6168, 6061, 513, 3560, 3830, 692, 10674, 2517, 4178, 6155, 21648, 574, 21129, 2574, 2593, 454, 10674, 2517, 4178, 6155, 21648, 574, 8542, 331, 692, 9336, 5384, 1284, 17546, 513, 4132, 23985, 267, 1284, 5901, 13924, 689, 18023, 532, 898, 13924, 1345, 454, 297, 6756, 13100, 27600, 692, 290, 1276, 592, 664, 333, 454, 15803, 281, 476, 277, 1428, 1240, 454, 16274, 281, 5147, 476, 1626, 628, 267, 476, 1220, 275, 267, 476, 278, 281, 4343, 993, 454, 19613, 281, 24545, 454, 23086, 1384, 2162, 1234, 281, 6168, 6061, 513, 3560, 3830, 692, 11039, 267, 596, 4312, 29860, 547, 513, 811, 2352, 1966, 269, 594, 729, 13288, 547, 519, 1826, 540, 1966, 11540, 585, 1269, 340, 12169, 25722, 7751, 780, 7775, 267, 811, 3622, 267, 519, 1505, 1058, 960, 585, 692, 259, 340, 4671, 815, 536, 12169, 264, 579, 14729, 910, 524, 12169, 264, 579, 1341, 737, 12169, 25722, 7751, 609, 1269, 340, 12169, 267, 271, 264, 815, 535, 12169, 7751, 563, 6546, 1131, 581, 1360, 3730, 1317, 1535, 260, 540, 535, 323, 332, 568, 711, 3501, 585, 713, 533, 1372, 563, 10674, 2517, 4178, 6155, 21648, 574, 21129, 2574, 2593, 454, 10674, 2517, 4178, 6155, 21648, 574, 8542, 331, 692, 9336, 5384, 1284, 17546, 513, 4132, 23985, 267, 1284, 5901, 13924, 689, 18023, 532, 898, 13924, 1345, 454, 297, 6756, 13100, 27600, 692, 2704, 534, 454, 15803, 281, 476, 1911, 2918, 454, 16274, 281, 5412, 476, 866, 628, 267, 476, 1220, 272, 267, 476, 275, 281, 4905, 993, 454, 19613, 281, 4993, 454, 23086, 1384, 2162, 1234, 281, 6168, 6061, 513, 3560, 3830, 692, 1320, 9722, 930, 811, 267, 6148, 1256, 606, 744, 14701, 24626, 568, 936, 26973, 585, 6746, 923, 1934, 563, 5472, 596, 2731, 723, 547, 4194, 568, 692, 28949, 264, 4399, 842, 14729, 17353, 3495, 6025, 14587, 1422, 2765, 346, 11459, 2410, 321, 3287, 14587, 815, 512, 8961, 799, 17697, 569, 11887, 4399, 3495, 6025, 264, 815, 1422, 3495, 12169, 25722, 7751, 780, 3383, 267, 1631, 621, 781, 4389, 547, 1175, 513, 3597, 1922, 4193, 3635, 269, 1280, 513, 2016, 18159, 344, 25722, 7751, 6292, 267, 4194, 30916, 264, 6746, 1227, 585, 519, 3597, 4399, 3495, 8961, 11690, 883, 1269, 325, 7268, 10383, 29408, 543, 596, 2811, 2944, 630, 1721, 519, 3312, 1362, 540, 1966, 596, 11540, 1040, 1280, 519, 811, 2489, 835, 267, 1269, 340, 4671, 815, 536, 12169, 264, 579, 14729, 910, 524, 12169, 264, 579, 1341, 737, 12169, 25722, 29408, 1586, 596, 1175, 4194, 30916, 1070, 543, 1287, 11690, 883, 519, 4082, 693, 519, 5377, 540, 30127, 476, 3451, 602, 596, 3513, 1294, 950, 1250, 1433, 21128, 780, 26469, 454, 15803, 281, 476, 10441, 2641, 454, 16274, 281, 5147, 476, 736, 628, 267, 476, 1220, 272, 267, 476, 274, 281, 2764, 10681, 692, 2162, 1234, 281, 6168, 6061, 513, 3560, 3830, 692, 5575, 540, 782, 267, 1018, 568, 519, 476, 272, 3257, 538, 972, 286, 5192, 7759, 540, 602, 607, 777, 269, 3973, 1990, 284, 272, 30819, 780, 290, 1276, 592, 664, 333, 454, 15803, 281, 476, 277, 1428, 1240, 454, 16274, 281, 5147, 476, 1626, 628, 267, 476, 1220, 275, 267, 476, 278, 281, 4343, 993, 454, 19613, 281, 24545, 454, 23086, 1384, 2162, 1234, 281, 6168, 6061, 513, 3560, 3830, 692, 5575, 540, 782, 267, 1018, 568, 519, 476, 272, 3257, 538, 972, 286, 5192, 7759, 540, 602, 607, 777, 269, 3973, 1990, 284, 272, 30819, 563, 2704, 534, 267, 594, 1589, 621, 781, 585, 596, 563, 10674, 2517, 4178, 6155, 21648, 574, 21129, 2574, 2593, 454, 10674, 2517, 4178, 6155, 21648, 574, 8542, 331, 692, 9336, 5384, 1284, 17546, 513, 4132, 23985, 267, 1284, 5901, 13924, 689, 18023, 532, 898, 13924, 1345, 454, 297, 6756, 13100, 27600, 692, 26469, 454, 15803, 281, 476, 10441, 2641, 454, 16274, 281, 5147, 476, 736, 628, 267, 476, 1220, 272, 267, 476, 274, 281, 2764, 10681, 692, 2162, 1234, 281, 6168, 6061, 513, 3560, 3830, 692, 296, 6557, 13288, 547, 519, 533, 1372, 780, 259, 345, 7807, 2765, 346, 272, 2410, 344, 268, 272, 10592, 310, 559, 332, 2714, 2593, 814, 1044, 834, 306, 6326, 519, 26592, 16010, 7991, 257, 2094, 476, 1220, 272, 269, 8033, 4240, 13718, 808, 302, 7034, 21398, 19181, 692, 19185, 585, 513, 3067, 2816, 267, 1981, 267, 620, 2998, 9467, 28011, 286, 25873, 6009, 1934, 13718, 294, 313, 7709, 281, 2201, 0, 29074, 14198, 26726, 4460, 990, 17738, 692, 1607, 5850, 14550, 2866, 28662, 26726, 4460, 990, 17738, 630, 295, 12613, 264, 1210, 570, 1005, 269, 634, 1292, 3853, 616, 1565, 519, 5912, 5119, 267, 12998, 9936, 267, 543, 6456, 2829, 269, 1280, 513, 811, 11826, 4081, 7650, 593, 26726, 4460, 990, 17738, 267, 1294, 1323, 4367, 547, 26726, 4460, 990, 17738, 543, 28662, 17978, 630, 294, 327, 1695, 1090, 8643, 267, 476, 1220, 272, 6393, 4131, 779, 4452, 519, 8021, 649, 3580, 991, 269, 1284, 849, 1305, 513, 4351, 6079, 630, 1721, 10063, 322, 2225, 264, 543, 519, 13128, 15285, 1394, 754, 547, 4464, 7154, 630, 3467, 1934, 593, 1946, 713, 568, 3730, 6393, 6748, 570, 1005, 267, 1773, 1824, 267, 15932, 692, 258, 12414, 1055, 3356, 6895, 563, 307, 1005, 6745, 1248, 2889, 28698, 6600, 4426, 2020, 258, 5590, 513, 4351, 6079, 543, 946, 519, 4464, 5091, 858, 5084, 7154, 563, 305, 24655, 269, 23092, 256, 263, 11277, 275, 32007, 26594, 3557, 24544, 692, 1103, 713, 1383, 267, 649, 3580, 946, 1945, 1141, 519, 2829, 543, 12998, 6724, 616, 3551, 780, 258, 16294, 519, 12998, 9936, 563, 344, 815, 1496, 476, 272, 269, 271, 267, 476, 272, 269, 271, 267, 476, 272, 269, 271, 267, 476, 272, 269, 271, 267, 476, 273, 269, 271, 267, 476, 273, 269, 271, 267, 476, 273, 269, 271, 267, 476, 274, 269, 271, 267, 476, 274, 269, 271, 267, 476, 274, 269, 271, 267, 476, 273, 269, 271, 267, 476, 273, 269, 271, 267, 476, 273, 269, 271, 267, 476, 272, 269, 271, 267, 476, 272, 269, 271, 9948, 3248, 301, 815, 3259, 12169, 5148, 476, 918, 815, 476, 274, 16963, 258, 18140, 519, 1239, 649, 1175, 1500, 563, 7120, 12169, 267, 1535, 3916, 815, 630, 271, 267, 1428, 1070, 586, 3916, 815, 11196, 272, 267, 276, 1070, 2450, 815, 630, 4335, 267, 476, 7742, 11723, 2171, 666, 1294, 602, 649, 723, 1614, 2829, 267, 835, 585, 1142, 4463, 540, 519, 4729, 630, 272, 267, 476, 273, 267, 476, 274, 1040, 901, 4463, 568, 849, 938, 12998, 9936, 267, 865, 1533, 835, 7472, 513, 1871, 540, 835, 267, 1533, 1079, 7472, 513, 1871, 540, 1079, 267, 543, 865, 593, 780, 27407, 267, 649, 1131, 899, 547, 1174, 1614, 2101, 6724, 1384, 272, 269, 634, 5912, 5119, 269, 901, 568, 513, 5119, 602, 3651, 338, 513, 5506, 540, 15175, 689, 835, 1533, 547, 1022, 824, 1533, 267, 1519, 519, 1533, 602, 649, 616, 2907, 538, 563, 273, 269, 634, 12998, 5119, 267, 799, 6257, 513, 6093, 1871, 19501, 676, 930, 1533, 269, 769, 519, 4729, 1657, 267, 519, 12998, 9936, 585, 1533, 835, 568, 3274, 835, 563, 274, 269, 634, 1533, 5311, 568, 938, 1620, 540, 1018, 1533, 649, 941, 2965, 538, 950, 649, 4767, 930, 1239, 269, 901, 568, 1360, 1271, 538, 811, 10427, 670, 12613, 3631, 267, 1141, 519, 12998, 1871, 1281, 711, 3160, 938, 1533, 780, 4415, 713, 538, 2247, 267, 1577, 779, 1305, 909, 938, 2203, 269, 1284, 616, 2469, 547, 946, 930, 540, 938, 1702, 607, 2203, 619, 547, 1683, 3606, 1344, 827, 938, 1062, 269, 901, 3217, 519, 1106, 540, 519, 1991, 593, 938, 12998, 9936, 780, 2330, 332, 10983, 1422, 13678, 16453, 9217, 267, 476, 271, 269, 276, 1070, 1422, 11898, 544, 815, 2715, 272, 267, 273, 267, 274, 15732, 8245, 2952, 2322, 267, 713, 3081, 602, 649, 2503, 1533, 835, 547, 12520, 2418, 538, 513, 28611, 7856, 6073, 267, 1141, 519, 1611, 540, 1142, 1533, 779, 5434, 568, 602, 1533, 779, 1871, 269, 634, 13065, 540, 476, 271, 269, 276, 2337, 519, 2203, 27721, 811, 3533, 2443, 2015, 519, 2013, 1141, 649, 723, 513, 13065, 540, 476, 272, 610, 476, 273, 269, 769, 713, 2013, 267, 519, 10171, 540, 11287, 513, 476, 273, 950, 649, 616, 538, 1533, 476, 272, 568, 2965, 3833, 1164, 267, 607, 621, 568, 1369, 513, 3044, 11539, 540, 519, 3020, 12998, 1871, 269, 16792, 519, 1991, 602, 649, 616, 2693, 547, 581, 17401, 10704, 1472, 519, 1611, 11151, 938, 2203, 689, 1373, 1932, 11821, 827, 519, 1533, 602, 568, 10451, 938, 7422, 780, 763, 17028, 832, 593, 938, 5912, 5119, 616, 1875, 514, 845, 894, 267, 1210, 570, 5157, 316, 9625, 667, 597, 747, 2280, 263, 2158, 263, 298, 8358, 298, 1040, 634, 667, 597, 747, 2280, 1991, 1031, 538, 713, 1259, 17648, 602, 519, 1533, 568, 2693, 547, 1689, 547, 1022, 824, 1533, 609, 3160, 5506, 269, 1306, 649, 3580, 1294, 267, 713, 5912, 5119, 1991, 786, 581, 7670, 9287, 607, 649, 7747, 1239, 780, 258, 570, 1005, 2203, 4214, 563, 287, 16347, 7345, 525, 295, 7825, 12169, 267, 918, 264, 815, 2253, 454, 258, 5192, 8343, 3259, 563, 301, 815, 3259, 12169, 2020, 258, 3557, 5311, 563, 338, 815, 512, 24029, 263, 4504, 267, 715, 2020, 258, 2506, 2153, 5119, 563, 332, 815, 21070, 346, 18600, 12917, 1495, 1030, 267, 918, 2020, 258, 21846, 5119, 563, 307, 815, 21070, 346, 309, 10725, 346, 18600, 3686, 263, 1495, 1030, 267, 918, 2020, 258, 25849, 14778, 547, 1142, 3693, 454, 258, 540, 519, 5912, 5119, 543, 519, 454, 258, 12998, 5119, 563, 1721, 1775, 815, 476, 272, 281, 298, 454, 307, 5157, 316, 9625, 667, 597, 747, 2280, 263, 2158, 263, 298, 8358, 298, 994, 332, 5157, 316, 9625, 16453, 9217, 267, 476, 271, 269, 276, 994, 754, 692, 258, 27297, 1142, 1448, 540, 519, 3403, 563, 338, 314, 272, 316, 9625, 595, 1538, 5566, 263, 298, 994, 344, 314, 272, 316, 9625, 16453, 9852, 314, 338, 314, 272, 316, 3910, 476, 271, 269, 272, 2020, 1721, 1775, 815, 476, 273, 281, 301, 454, 338, 5157, 316, 9625, 595, 1538, 5566, 263, 11355, 24867, 314, 338, 5157, 268, 272, 14963, 4917, 344, 5157, 316, 9625, 16453, 9852, 314, 338, 5157, 316, 3910, 476, 271, 269, 272, 994, 754, 454, 754, 16963, 2171, 786, 946, 513, 4999, 540, 1079 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12110, 267, 2090, 1397, 269, 2290, 2101, 5413, 789, 723, 936, 5243, 543, 7314, 286, 1358, 2661, 3476, 543, 666, 1683, 513, 10715, 540, 31070, 563, 10673, 1406, 596, 4898, 1946, 3165, 6864, 926, 4548, 616, 513, 1455, 8289, 538, 2564, 20830, 543, 13646, 286, 898, 779, 1317, 8384, 24991, 7669, 814, 513, 22196, 1198, 593, 1004, 269, 5753, 609, 30759, 666, 581, 1608, 4364, 1524, 713, 1259, 543, 949, 1256, 3207, 1732, 267, 2687, 547, 2487, 2090, 269, 1280, 4079, 267, 789, 616, 2101, 2566, 11861, 619, 543, 948, 596, 4283, 883, 513, 17159, 1533, 269, 589, 1353, 4951, 602, 519, 1426, 6981, 540, 12216, 779, 2550, 2799, 676, 476, 1704, 260, 1310, 8384, 24991, 538, 606, 16983, 563, 3383, 979, 6619, 543, 1205, 3054, 835, 630, 528, 782, 264, 540, 891, 543, 4585, 519, 2318, 4287, 707, 1072, 3217, 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 ]
[ 1147, 3288, 2985, 476, 272, 31162, 476, 278, 692, 258, 623, 11286, 476, 272, 692, 1012, 1280, 7286, 8043, 3001, 538, 476, 277, 5232, 540, 5191, 630, 23077, 293, 1070, 476, 277, 4830, 692, 1723, 24002, 616, 2556, 547, 3313, 2990, 543, 10066, 269, 1452, 616, 3989, 454, 553, 10006, 630, 1535, 536, 16532, 32022, 630, 586, 536, 16532, 646, 1511, 630, 1990, 536, 16532, 5066, 630, 16532, 12334, 630, 3738, 543, 586, 1177, 630, 15426, 7612, 476, 272, 454, 650, 755, 6233, 891, 7158, 543, 519, 25586, 7285, 543, 741, 7222, 6991, 454, 614, 916, 630, 579, 267, 341, 2073, 342, 2073, 533, 267, 7117, 267, 678, 6606, 6393, 1012, 7612, 476, 272, 281, 18289, 4632, 543, 7222, 29702, 585, 513, 7286, 6077, 22177, 5472, 2413, 9635, 946, 1313, 641, 559, 1824, 585, 1576, 5329, 543, 7432, 1852, 269, 2659, 4305, 568, 454, 1729, 1628, 971, 513, 1062, 585, 606, 3282, 7382, 518, 269, 634, 476, 277, 11298, 293, 6384, 585, 7286, 8043, 616, 454, 12061, 31059, 543, 4096, 593, 1082, 4632, 971, 607, 4464, 6991, 267, 2427, 1606, 28309, 5086, 2676, 22855, 1533, 267, 3092, 269, 1280, 606, 10081, 1790, 559, 582, 649, 616, 1152, 5461, 538, 4509, 16144, 693, 454, 322, 745, 1047, 269, 898, 7140, 856, 602, 586, 1177, 630, 3650, 532, 264, 543, 32022, 616, 13745, 269, 4475, 513, 5276, 454, 2006, 4141, 12320, 2590, 2203, 1759, 593, 519, 13429, 540, 3586, 23593, 3432, 799, 454, 27665, 338, 585, 32022, 543, 586, 1177, 568, 2016, 676, 454, 341, 476, 271, 269, 1839, 476, 271, 269, 9262, 642, 476, 271, 269, 2420, 454, 263, 272, 994, 337, 815, 476, 271, 269, 4905, 476, 271, 269, 2537, 678, 1341, 476, 271, 269, 6860, 454, 340, 692, 3602, 642, 815, 586, 536, 544, 4882, 568, 519, 32022, 6991, 267, 678, 815, 1315, 521, 568, 519, 586, 1177, 2557, 630, 3433, 540, 16144, 454, 4219, 1070, 568, 519, 586, 1177, 630, 528, 16144, 264, 5086, 538, 5232, 543, 568, 519, 25229, 1457, 5086, 538, 454, 19592, 4181, 630, 3698, 1441, 971, 602, 2318, 25229, 1457, 5086, 11729, 513, 2318, 586, 1177, 2557, 6393, 1012, 5980, 540, 25220, 11629, 338, 543, 13149, 19296, 476, 4198, 271, 692, 293, 1601, 523, 476, 1220, 273, 267, 13149, 6513, 7010, 267, 30127, 476, 5392, 279, 692, 1012, 6092, 9517, 281, 631, 17248, 17628, 476, 23714, 279, 692, 17273, 476, 273, 540, 476, 1321, 692, 272, 269, 1280, 519, 2030, 2016, 676, 17817, 630, 272, 1070, 2016, 602, 519, 1062, 3977, 568, 519, 586, 1177, 454, 3433, 540, 519, 6928, 267, 678, 815, 1315, 521, 267, 1287, 519, 1533, 3977, 3830, 568, 2016, 676, 2676, 314, 273, 7436, 2639, 320, 269, 678, 815, 815, 595, 343, 1341, 13660, 815, 1496, 272, 476, 271, 316, 343, 1341, 476, 271, 340, 454, 263, 273, 994, 321, 269, 678, 815, 815, 595, 343, 1341, 13660, 815, 1496, 271, 476, 272, 316, 343, 1341, 476, 271, 340, 454, 263, 273, 994, 322, 269, 678, 815, 815, 595, 343, 1341, 13660, 815, 1496, 272, 476, 272, 316, 343, 1341, 476, 271, 340, 454, 263, 273, 994, 323, 269, 678, 815, 815, 595, 343, 1341, 13660, 815, 1496, 272, 476, 271, 316, 343, 1341, 579, 454, 263, 273, 994, 324, 269, 7183, 540, 519, 1657, 563, 273, 269, 1548, 4223, 18350, 3009, 1131, 596, 946, 547, 1628, 513, 1533, 2230, 2203, 1572, 6928, 454, 263, 817, 11167, 602, 519, 589, 267, 645, 267, 595, 543, 667, 14290, 1185, 1044, 3989, 25145, 314, 272, 1665, 2639, 320, 269, 6928, 815, 23686, 10490, 32390, 994, 321, 269, 6928, 815, 1990, 335, 330, 10490, 32390, 267, 290, 994, 322, 269, 6928, 815, 521, 338, 10490, 32390, 267, 290, 267, 291, 994, 323, 269, 6928, 815, 2829, 10628, 10490, 32390, 267, 290, 267, 291, 994, 324, 269, 7183, 540, 519, 1657, 563, 274, 269, 4635, 12307, 630, 272, 264, 543, 630, 273, 1070, 17589, 519, 4483, 1599, 1063, 519, 25229, 1457, 454, 4120, 630, 514, 5232, 1070, 2073, 543, 519, 586, 1177, 2557, 540, 519, 6928, 267, 678, 815, 1315, 521, 1547, 634, 4483, 454, 10818, 568, 2016, 676, 454, 314, 275, 7436, 2639, 337, 630, 338, 994, 263, 271, 269, 6860, 338, 1341, 476, 271, 269, 23669, 279, 994, 320, 563, 284, 476, 273, 454, 263, 274, 994, 4433, 264, 521, 1341, 476, 271, 269, 4366, 338, 1341, 476, 271, 269, 271, 4366, 279, 454, 337, 630, 338, 994, 263, 271, 269, 6860, 338, 1341, 476, 271, 269, 23669, 279, 994, 321, 563, 284, 476, 273, 454, 263, 274, 994, 4433, 264, 521, 1341, 476, 271, 269, 4366, 338, 1341, 476, 271, 269, 271, 4366, 279, 454, 337, 630, 338, 994, 263, 271, 269, 6860, 338, 1341, 476, 271, 269, 23669, 279, 994, 322, 563, 284, 476, 273, 454, 263, 274, 994, 4433, 264, 521, 1341, 476, 271, 269, 271, 4366, 279, 338, 1341, 476, 271, 269, 4366, 454, 337, 630, 338, 994, 263, 271, 269, 6860, 338, 1341, 476, 271, 269, 23713, 273, 994, 323, 563, 284, 476, 273, 454, 263, 274, 994, 4433, 264, 521, 1341, 476, 271, 269, 4366, 338, 1341, 476, 271, 269, 271, 4366, 279, 454, 324, 269, 7183, 540, 519, 1657, 780, 275, 269, 14419, 519, 6753, 540, 519, 1930, 8520, 18635, 540, 519, 1062, 269, 634, 1930, 8520, 454, 335, 3421, 616, 2016, 676, 454, 314, 273, 7436, 2639, 320, 269, 521, 815, 476, 271, 267, 476, 271, 2234, 4882, 454, 321, 269, 521, 815, 476, 271, 269, 16409, 2073, 476, 271, 269, 31172, 2234, 4882, 454, 323, 269, 521, 815, 476, 271, 269, 271, 4366, 279, 328, 2073, 271, 269, 4366, 328, 2234, 4882, 454, 324, 269, 7183, 540, 519, 1657, 780, 17273, 476, 274, 540, 476, 1321, 692, 1012, 476, 276, 269, 1772, 519, 1930, 8520, 2030, 692, 320, 269, 853, 762, 888, 321, 269, 12540, 3373, 7123, 888, 322, 269, 1133, 560, 762, 888, 323, 269, 16448, 958, 7123, 888, 324, 269, 7183, 540, 519, 1657, 780, 314, 272, 1665, 6540, 277, 269, 634, 4483, 1599, 2016, 676, 17817, 630, 274, 264, 630, 514, 7726, 476, 274, 264, 3568, 513, 14263, 454, 338, 793, 269, 9181, 1018, 713, 10522, 563, 314, 273, 7436, 2639, 320, 269, 634, 6928, 6384, 616, 18633, 454, 321, 269, 634, 6928, 6384, 616, 1875, 15902, 3065, 5123, 454, 322, 269, 634, 6928, 6384, 616, 5934, 5123, 454, 323, 269, 634, 6928, 2833, 2318, 586, 1177, 585, 513, 2942, 25229, 1457, 5086, 454, 324, 269, 634, 6928, 568, 2352, 547, 1852, 563, 278, 269, 27051, 875, 1279, 1131, 519, 2030, 1491, 547, 7017, 1369, 476, 273, 260, 547, 606, 20949, 454, 514, 547, 519, 25229, 1457, 888, 314, 273, 7436, 2639, 320, 269, 9625, 271, 269, 276, 521, 888, 321, 269, 9625, 1015, 521, 888, 322, 269, 9625, 271, 269, 276, 8792, 888, 323, 269, 9625, 1789, 3764, 888, 324, 269, 7183, 540, 519, 1657, 563, 279, 269, 12433, 519, 1930, 2000, 17274, 4642, 4433, 264, 1063, 519, 25229, 1457, 3403, 2073, 543, 519, 3977, 454, 344, 1177, 2557, 678, 815, 1315, 521, 1547, 634, 21325, 616, 912, 314, 274, 7436, 2639, 320, 269, 1703, 616, 1100, 21325, 454, 324, 269, 7183, 540, 519, 1657, 563, 280, 269, 32114, 602, 596, 1185, 3710, 519, 1533, 2230, 2203, 538, 4223, 18350, 267, 1018, 3009, 2630, 454, 30524, 596, 946, 547, 3313, 519, 21325, 540, 519, 1062, 888, 314, 272, 1665, 2639, 320, 269, 21325, 10490, 994, 321, 269, 4642, 10490, 994, 322, 269, 21325, 4433, 1222, 994, 323, 269, 4642, 4433, 1222, 994, 324, 269, 2353, 540, 519, 1657, 563, 1015, 269, 1772, 519, 2030, 9244, 11689, 529, 762, 888, 320, 269, 8786, 454, 321, 269, 3143, 454, 322, 269, 24296, 675, 454, 323, 269, 1703, 568, 13385, 1344, 454, 324, 269, 2353, 540, 519, 1657, 563, 17345, 9517, 281, 631, 17248, 17628, 476, 23714, 279, 692, 314, 273, 7436, 6540, 17273, 476, 275, 540, 476, 1321, 692, 1556, 269, 4635, 17817, 630, 272, 264, 543, 14322, 602, 519, 1079, 2829, 616, 4642, 267, 1018, 568, 519, 454, 331, 17999, 25229, 1457, 5086, 602, 666, 581, 3403, 1510, 519, 32022, 10231, 23630, 454, 1015, 260, 540, 8904, 630, 3602, 575, 815, 476, 280, 269, 10037, 544, 4882, 476, 273, 3738, 888, 314, 274, 7436, 2639, 320, 269, 476, 272, 4110, 454, 321, 269, 476, 275, 269, 276, 5232, 454, 322, 269, 476, 1839, 5232, 454, 323, 269, 476, 3393, 5232, 454, 324, 269, 7183, 540, 519, 1657, 563, 1321, 269, 9717, 602, 519, 7584, 540, 519, 589, 5119, 538, 17817, 630, 272, 264, 568, 476, 273, 267, 1018, 568, 519, 5934, 454, 15893, 540, 2829, 2838, 547, 2203, 519, 1062, 888, 314, 273, 7436, 2639, 320, 269, 7183, 454, 321, 269, 2290, 454, 322, 269, 5565, 454, 323, 269, 8422, 454, 324, 269, 7183, 540, 519, 1657, 563, 1724, 269, 25166, 1679, 519, 3557, 17817, 630, 272, 264, 543, 19243, 17817, 630, 273, 264, 538, 20626, 28138, 454, 2431, 13959, 1106, 2676, 314, 274, 7436, 2639, 271, 269, 1839, 476, 271, 269, 9262, 454, 271, 269, 2420, 454, 320, 269, 1535, 21591, 343, 1341, 692, 267, 678, 815, 1496, 271, 476, 272, 316, 343, 692, 271, 454, 563, 4905, 692, 271, 454, 563, 2537, 692, 271, 454, 563, 6860, 692, 271, 269, 4366, 476, 271, 269, 271, 4366, 279, 454, 272, 454, 321, 269, 1535, 21591, 343, 1341, 476, 271, 2073, 678, 815, 1496, 476, 271, 269, 6860, 476, 271, 269, 23713, 273, 316, 343, 454, 272, 454, 271, 692, 272, 454, 271, 269, 4366, 454, 271, 269, 6860, 454, 322, 269, 1535, 21591, 343, 1341, 476, 271, 269, 23713, 273, 2073, 678, 815, 1496, 272, 476, 271, 316, 343, 692, 271, 454, 563, 271, 4366, 279, 454, 271, 692, 271, 476, 271, 269, 271, 4366, 279, 454, 271, 269, 23713, 273, 454, 323, 269, 1535, 21591, 343, 1341, 476, 271, 269, 6860, 2073, 678, 815, 1496, 271, 476, 272, 316, 343, 454, 272, 692, 271, 454, 563, 4366, 692, 1012, 552, 269, 7183, 540, 519, 1657, 780, 1691, 269, 6904, 540, 519, 3625, 12222, 1739, 2099, 519, 1930, 2000, 17274, 2030, 2016, 676, 454, 13420, 725, 630, 272, 264, 543, 630, 273, 25145, 314, 274, 7436, 2639, 268, 271, 269, 4905, 454, 268, 271, 269, 1839, 692, 268, 271, 269, 6860, 692, 343, 273, 692, 343, 273, 692, 268, 271, 269, 2537, 692, 268, 271, 269, 9262, 692, 343, 272, 692, 343, 272, 692, 271, 269, 2420, 692, 320, 563, 17345, 9517, 281, 631, 17248, 17628, 476, 23714, 279, 692, 17273, 476, 276, 540, 476, 1321, 692, 268, 271, 269, 9262, 454, 268, 271, 269, 2537, 692, 271, 269, 2420, 692, 343, 273, 692, 343, 273, 692, 268, 271, 269, 4905, 692, 343, 272, 692, 343, 272, 692, 272, 454, 271, 692, 268, 271, 269, 1839, 692, 268, 271, 269, 6860, 692, 321, 563, 268, 271, 269, 271, 4366, 279, 454, 268, 271, 269, 4366, 692, 268, 271, 269, 23713, 273, 692, 343, 273, 692, 343, 273, 692, 343, 272, 692, 343, 272, 692, 268, 271, 269, 6860, 692, 322, 780, 272, 454, 271, 692, 268, 271, 269, 6860, 692, 343, 273, 692, 343, 273, 692, 268, 271, 269, 4366, 692, 268, 271, 269, 271, 4366, 279, 692, 343, 272, 692, 343, 272, 692, 268, 271, 269, 23713, 273, 692, 323, 780, 1012, 6092, 9517, 281, 631, 17248, 17628, 476, 23714, 279, 692, 17273, 476, 277, 540, 476, 1321, 692, 1428, 269, 6904, 540, 519, 3625, 12222, 1657, 2099, 519, 2030, 538, 20626, 28138, 454, 845, 6508, 5892, 538, 7726, 476, 1724, 888, 314, 274, 7436, 2639, 320, 269, 630, 320, 994, 321, 269, 630, 321, 994, 322, 269, 630, 322, 994, 323, 269, 630, 323, 994, 324, 269, 7183, 540, 519, 1657, 563, 1626, 269, 4635, 519, 1533, 4834, 2016, 676, 17817, 630, 272, 1070, 5173, 519, 4175, 1464, 454, 9795, 543, 3313, 875, 1082, 630, 604, 1022, 264, 540, 519, 2030, 2829, 616, 4175, 762, 563, 295, 842, 281, 4039, 622, 713, 547, 519, 3625, 6516, 538, 7726, 476, 1691, 1657, 563, 314, 274, 7436, 2639, 320, 269, 3143, 2829, 616, 4175, 762, 454, 321, 269, 2290, 1533, 568, 4175, 762, 454, 322, 269, 5565, 2829, 616, 4175, 762, 454, 323, 269, 2290, 1533, 568, 4175, 762, 543, 835, 568, 11689, 529, 762, 454, 324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2312, 540, 883, 519, 4478, 2197, 630, 24392, 649, 723, 1100, 23319, 875, 1082, 540, 1346, 5293, 2476, 972, 1916, 1692, 2025, 786, 581, 25048, 701, 4512, 888, 3963, 1705, 26751, 12320, 3780, 21074, 476, 8064, 5084, 23615, 2316, 306, 30121, 888, 28874, 26751, 12320, 3780, 281, 17934, 570, 624, 4577, 17553, 26751, 12320, 3780, 568, 2356, 851, 540, 519, 8805, 534, 1014, 29271, 9095, 267, 513, 1826, 540, 22747, 602, 2813, 936, 513, 1016, 9134, 1858, 2813, 676, 519, 19427, 540, 519, 3979, 7132, 20195, 22057, 10824, 269, 1773, 2120, 5641, 338, 540, 1004, 602, 5747, 538, 519, 2404, 609, 25048, 701, 4512, 1282, 519, 29235, 8370, 5084, 20349, 2404, 609, 6778, 26751, 12320, 3780, 563, 12749, 476, 1015, 645, 5456, 294, 12239, 26439, 545, 661, 4533, 687, 454, 15578, 645, 5456, 294, 12239, 966, 5357, 290, 3198, 302, 2464, 769, 634, 2622, 9462, 490, 489, 454, 19136, 7465, 26439, 334, 661, 8306, 18948, 2201, 634, 3047, 9462, 490, 489, 6930, 490, 489, 454, 14157, 4754, 334, 661, 8306, 5295, 18948, 454, 12749, 476, 1015, 4107, 667, 836, 2730, 26439, 3996, 0, 11764, 1067, 568, 513, 3501, 942, 585, 10452, 827, 3450, 607, 596, 2015, 875, 547, 1935, 707, 1985, 6030, 269, 634, 595, 5085, 307, 5399, 3091, 513, 2647, 5542, 540, 2835, 593, 782, 3344, 540, 3450, 602, 2709, 6836, 543, 3020, 2409, 607, 1134, 607, 5499, 2093, 547, 12954, 707, 3206, 269, 1280, 707, 4832, 2542, 12257, 267, 649, 5031, 930, 2630, 563, 10673, 3534, 19120, 1562, 267, 10615, 540, 595, 5085, 307, 454, 6826, 5765, 513, 7600, 1227, 14484, 633, 11819, 267, 15537, 15588, 7615, 630, 297, 657, 8124, 5174, 817, 267, 476, 1960, 276, 994, 1607, 568, 606, 968, 1245, 773, 855, 1434, 344, 892, 543, 835, 540, 1250, 1034, 12300, 14509, 269, 15537, 15588, 7615, 11099, 602, 1434, 3450, 815, 8726, 2337, 1053, 1451, 269, 769, 1010, 4064, 267, 972, 616, 1100, 9059, 4439, 7410, 547, 581, 513, 3811, 4116, 267, 855, 972, 616, 2853, 602, 3895, 31934, 2208, 543, 1565, 269, 634, 3804, 540, 519, 7600, 1227, 14484, 633, 11819, 568, 547, 1629, 22438, 1518, 519, 1184, 540, 8086, 543, 948, 721, 2744, 606, 2799, 4656, 540, 938, 3450, 998, 519, 2079, 540, 513, 2565, 10071, 689, 938, 1378, 2259, 543, 547, 2689, 621, 689, 607, 1082, 1114, 7285, 607, 2009, 269, 1677, 713, 1439, 267, 15588, 7615, 23083, 2185, 14485, 602, 666, 581, 8246, 676, 3610, 538, 513, 1184, 540, 2565, 8086, 281, 630, 272, 264, 519, 17770, 7240, 267, 630, 273, 264, 519, 1053, 685, 4064, 267, 630, 274, 264, 938, 9164, 685, 2833, 267, 543, 630, 275, 264, 7811, 3332, 269, 1452, 14485, 1450, 721, 547, 1582, 18022, 937, 267, 547, 3343, 2875, 5955, 267, 547, 4497, 938, 9905, 267, 543, 3343, 2963, 1759, 3332, 269, 901, 1433, 4465, 1406, 2995, 596, 875, 547, 4001, 855, 621, 786, 1118, 596, 513, 1732, 4116, 2336, 2304, 22448, 1924, 24480, 267, 21133, 10615, 540, 595, 5085, 307, 609, 513, 2027, 1445, 593, 12200, 1646, 3292, 543, 8537, 17284, 454, 17730, 8682, 15696, 4327, 22996, 281, 11150, 547, 16237, 6533, 4841, 685, 8682, 5025, 16346, 543, 4804, 10341, 267, 27692, 715, 12291, 454, 1432, 616, 1582, 15696, 4327, 6267, 19037, 286, 2060, 519, 16411, 540, 1702, 267, 27692, 715, 12291, 11363, 602, 938, 1909, 607, 3610, 1590, 11457, 883, 4543, 1053, 1831, 15400, 6267, 269, 634, 1909, 540, 1543, 267, 1247, 1869, 1898, 267, 568, 711, 2614, 269, 1306, 12200, 267, 649, 616, 3318, 6267, 267, 855, 875, 798, 649, 4001, 938, 1184, 547, 1053, 286, 715, 12291, 5932, 513, 8903, 4661, 602, 649, 991, 547, 29596, 4020, 3255, 585, 938, 1053, 547, 1831, 18532, 267, 4830, 543, 1582, 30928, 6267, 269, 901, 1360, 4052, 1433, 568, 2407, 540, 6405, 10372, 585, 875, 547, 948, 1053, 11753, 513, 3524, 10642, 3126, 540, 2853, 602, 786, 948, 873, 1174, 875, 547, 1491, 5539, 585, 741, 1378, 1565, 563, 288, 997, 807, 21651, 267, 21133, 10615, 540, 595, 5085, 307, 609, 513, 2027, 1445, 593, 3872, 2029, 543, 1565, 5624, 454, 763, 6732, 9752, 27834, 6651, 281, 11822, 543, 19750, 16677, 698, 16479, 9669, 676, 4425, 9116, 7815, 543, 1230, 2784, 454, 7212, 621, 729, 2854, 538, 476, 1001, 271, 267, 713, 1433, 568, 1869, 606, 5140, 4199, 585, 3610, 945, 616, 1007, 547, 3450, 2228, 267, 607, 1134, 607, 1346, 945, 1616, 547, 13217, 741, 1983, 269, 4425, 9116, 7815, 543, 1230, 2784, 616, 22064, 3610, 945, 2671, 741, 1378, 6791, 607, 1134, 607, 2833, 540, 824, 19023, 7855, 269, 634, 1433, 5956, 609, 513, 5618, 16154, 2275, 6847, 538, 1565, 3069, 543, 875, 621, 12211, 547, 2679, 606, 2500, 2228, 1565, 1604, 269, 634, 4589, 7941, 519, 2228, 1576, 883, 11775, 1107, 4098, 267, 2038, 1647, 267, 3735, 1647, 543, 16833, 909, 267, 543, 2709, 1655, 2853, 585, 2502, 1053, 538, 1142, 5123, 269, 12830, 569, 267, 621, 2798, 856, 875, 547, 1711, 968, 26020, 4527, 892, 543, 1628, 2146, 1851, 6267, 269, 594, 1336, 519, 1433, 17170, 950, 594, 6026, 2228, 267, 3136, 547, 2490, 547, 621, 585, 2994, 585, 1166, 6235, 1565, 3034, 10955, 21546, 267, 21133, 10615, 540, 595, 5085, 307, 609, 513, 2027, 1445, 593, 4879, 454, 7075, 1676, 31588, 1229, 9752, 267, 6307, 749, 523, 1284, 25534, 630, 1220, 273, 1916, 10376, 19496, 594, 723, 6026, 267, 594, 3068, 519, 1482, 2055, 281, 1018, 786, 519, 1053, 1451, 267, 875, 786, 789, 1451, 267, 1018, 666, 594, 798, 547, 1651, 924, 811, 1565, 1851, 811, 540, 519, 1053, 267, 543, 1034, 11932, 1018, 786, 891, 1053, 3314, 2947, 1296, 689, 1631, 269, 1284, 25534, 3091, 2947, 4264, 2242, 630, 718, 4052, 543, 10257, 264, 538, 3450, 543, 1565, 547, 4188, 6030, 547, 1445, 593, 891, 12204, 540, 2055, 269, 1284, 25534, 14439, 1018, 2242, 950, 3450, 568, 2875, 10704, 630, 1492, 3666, 540, 1379, 267, 519, 1599, 540, 1543, 267, 519, 1909, 540, 519, 4116, 267, 519, 5539, 585, 1565, 543, 519, 3483, 543, 1184, 540, 6268, 264, 543, 3091, 5583, 585, 7598, 519, 2242, 269, 1284, 25534, 779, 2511, 568, 7874, 543, 2502, 267, 1818, 713, 606, 4998, 4832, 1224, 563, 2791, 666, 849, 2070, 606, 23064, 15853, 540, 782, 540, 595, 5085, 307, 779, 2835, 269, 1403, 596, 8910, 899, 547, 2638, 856, 835, 540, 891, 2835, 267, 1745, 1863, 547, 3247, 676, 595, 5085, 307, 267, 476, 10482, 645, 668, 7615, 10003, 269, 2107, 6494, 721, 606, 4757, 543, 649, 3580, 2322, 519, 1433, 538, 13464, 13875, 585, 596, 269, 0, 763, 1715, 4477, 1756, 26653, 2376, 3649, 1080, 563, 763, 12021, 2754, 267, 6611, 311, 267, 568, 2324, 593, 513, 26775, 7382, 602, 1131, 581, 1031, 585, 519, 31782, 2059, 609, 519, 20691, 269, 634, 2754, 568, 2324, 593, 519, 1374, 540, 713, 7382, 865, 602, 621, 666, 1831, 4625, 2922, 585, 20691, 269, 4438, 519, 1101, 2395, 540, 713, 3923, 267, 519, 2754, 6611, 311, 1185, 4843, 519, 6881, 540, 519, 24415, 935, 476, 280, 13332, 476, 276, 15177, 267, 799, 729, 606, 4824, 4528, 269, 1809, 19890, 267, 602, 5692, 1223, 711, 8011, 585, 519, 12122, 540, 519, 12284, 269, 634, 2817, 17224, 517, 27658, 6611, 10837, 630, 22498, 264, 1767, 519, 5692, 1590, 581, 30664, 764, 762, 865, 602, 621, 666, 3560, 20691, 9108, 563, 763, 6611, 311, 2754, 814, 1044, 8888, 267, 5663, 543, 22745, 14361, 543, 15408, 2094, 922, 27299, 538, 476, 1220, 273, 269, 898, 814, 8329, 3648, 538, 519, 7004, 540, 2230, 2029, 689, 942, 547, 942, 563, 763, 5499, 24415, 935, 476, 280, 26775, 7382, 568, 4397, 547, 8038, 585, 519, 1101, 942, 538, 519, 2063, 3275, 540, 713, 1032, 269, 898, 568, 2808, 602, 519, 1007, 26775, 7382, 3568, 26775, 14569, 269, 1452, 454, 5415, 1344, 593, 1715, 4477, 1756, 26653, 19179, 1080, 269, 0, 294, 7034, 610, 6828, 645, 6790, 335, 286, 1548, 1281, 621, 1611, 888, 294, 7034, 610, 6828, 645, 6790, 335, 568, 513, 1360, 3339, 4551, 602, 2729, 538, 519, 1560, 269, 898, 568, 23644, 18508, 267, 799, 1797, 621, 2501, 543, 4422, 538, 9979, 269, 28611, 267, 649, 1131, 723, 1100, 2856, 950, 621, 16976, 547, 3247, 676, 585, 513, 3643, 267, 607, 596, 2461, 12691, 547, 1995, 1022, 2589, 610, 2942, 2427, 13716, 338, 256, 16258, 4464, 547, 707, 1699, 6379, 267, 950, 10393, 1169, 6263, 3364, 4667, 1271, 543, 596, 2461, 6217, 6266, 827, 717, 7034, 563, 4263, 1472, 476, 3607, 4374, 9176, 267, 707, 4571, 342, 1057, 786, 2307, 596, 547, 2048, 1873, 629, 685, 1970, 538, 707, 29199, 630, 528, 798, 713, 585, 596, 952, 2877, 268, 621, 779, 711, 607, 20868, 607, 621, 4992, 267, 9153, 1916, 1607, 2220, 629, 568, 1287, 2366, 1055, 547, 2697, 952, 267, 693, 602, 942, 267, 596, 723, 519, 23644, 18508, 602, 568, 717, 7034, 269, 901, 2220, 629, 568, 2944, 693, 476, 3607, 4374, 607, 1034, 2021, 786, 4332, 741, 9002, 1063, 476, 4391, 268, 6078, 4374, 267, 865, 713, 1267, 786, 3622, 581, 607, 2673, 607, 649, 666, 1205, 1354, 596, 2461, 538, 11668, 563, 3383, 267, 1946, 2638, 585, 713, 20868, 562, 514, 10937, 18508, 888, 7212, 717, 7034, 568, 711, 3622, 5739, 547, 721, 267, 621, 666, 581, 5393, 5906, 547, 4816, 952, 26438, 607, 646, 610, 1352, 10596, 998, 519, 4332, 12324, 563, 18744, 513, 1360, 1507, 6871, 540, 9002, 786, 4579, 717, 7034, 713, 1259, 267, 855, 621, 666, 2014, 513, 4816, 547, 1831, 11212, 7210, 269, 1677, 2061, 713, 267, 513, 2603, 540, 8241, 10506, 2709, 32326, 11216, 538, 11668, 547, 2021, 609, 717, 7034, 267, 609, 519, 2832, 540, 7863, 519, 4816, 689, 24931, 519, 4551, 269, 2991, 4332, 267, 952, 596, 1185, 717, 7034, 267, 4571, 342, 1161, 786, 6895, 707, 4816, 779, 2837, 267, 2295, 2557, 543, 7929, 2557, 585, 519, 1101, 7008, 540, 2395, 267, 547, 2327, 789, 616, 1134, 630, 553, 606, 3063, 3106, 13390, 1081, 1040, 1403, 596, 798, 723, 717, 7034, 267, 1810, 1406, 581, 14126, 693, 782, 269, 5457, 267, 621, 568, 513, 3339, 2635, 4551, 602, 4896, 666, 723, 269, 5272, 6413, 543, 2197, 568, 1114, 267, 1034, 2477, 789, 1810, 1406, 1256, 2220, 629, 547, 1294, 952, 2021, 723, 621, 2336, 30942, 547, 707, 4571, 342, 1057, 610, 28267, 952, 596, 723, 1022, 2055, 269, 0, 2691, 596, 616, 6061, 2042, 585, 3845, 267, 3432, 267, 543, 942, 267, 596, 786, 1265, 621, 5363, 547, 946, 12222, 543, 5924, 12125, 547, 10891, 519, 1344, 543, 948, 596, 4194, 519, 1966, 269, 1411, 786, 849, 4019, 519, 4542, 602, 31758, 3845, 267, 3432, 270, 3433, 543, 942, 799, 568, 3845, 815, 3432, 270, 3433, 2053, 942, 912, 323, 815, 678, 339, 563, 291, 8780, 23814, 267, 681, 12442, 267, 6730, 29376, 292, 12327, 21283, 4041, 454, 4131, 779, 2253, 609, 606, 1383, 540, 875, 547, 1224, 513, 2262, 1966, 543, 11690, 2338, 883, 519, 4542, 912, 288, 5721, 3762, 13891, 779, 2777, 543, 12599, 693, 476, 2004, 5195, 829, 5662, 269, 5565, 3108, 2663, 267, 1776, 5721, 3762, 689, 13891, 779, 2777, 593, 519, 3950, 22290, 610, 6252, 547, 519, 1101, 5721, 855, 621, 12599, 693, 476, 1911, 5195, 829, 5662, 563, 1692, 2484, 2476, 689, 13891, 779, 2777, 786, 519, 5488, 5721, 1780, 519, 824, 5721, 888, 306, 5357, 309, 5058, 5990, 11550, 25770, 300, 454, 8855, 267, 546, 786, 2099, 519, 3845, 538, 5195, 689, 13891, 779, 2777, 543, 512, 786, 2099, 519, 942, 602, 519, 14887, 5721, 814, 1044, 10707, 563, 2791, 949, 6999, 547, 2721, 513, 6516, 547, 1397, 1018, 568, 8345, 269, 5029, 1125, 519, 1344, 596, 723, 538, 513, 5750, 3898, 952, 596, 10093, 1406, 12193, 891, 2010, 540, 2042, 1354, 269, 5457, 519, 4542, 912, 323, 2700, 815, 3432, 1535, 942, 454, 2691, 7114, 519, 2694, 540, 519, 2262, 1966, 267, 3314, 3845, 568, 3335, 2016, 538, 4559, 540, 5195, 267, 7397, 267, 12919, 267, 6279, 267, 3092, 269, 5384, 568, 538, 4559, 540, 7643, 267, 3764, 267, 3108, 267, 610, 1296, 269, 15580, 610, 3432, 568, 3845, 829, 942, 267, 865, 922, 4559, 1223, 581, 5195, 829, 5662, 267, 7397, 829, 2034, 267, 6279, 829, 1032, 267, 543, 865, 593, 563, 3086, 596, 666, 4194, 519, 1062, 540, 4834, 912, 2004, 339, 815, 476, 1911, 630, 339, 1107, 476, 273, 264, 2443, 9062 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 2025, 1922, 5831, 539, 6263, 16463, 2780, 834, 536, 834, 6263, 2025, 1922, 5831, 539, 16463, 2780, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 6904, 2112, 568, 519, 4259, 585, 1412, 14187, 25742, 1677, 2353, 2334, 262, 676, 7917, 3400, 1407, 888, 12585, 281, 476, 15221, 279, 2112, 0, 9223, 281, 8307, 952, 596, 1810, 1405, 723, 513, 4250, 540, 15627, 798, 596, 1616, 547, 3643, 519, 31368, 18975, 269, 1656, 952, 596, 666, 1491, 513, 7552, 547, 519, 1283, 540, 621, 786, 15983, 581, 4502, 621, 269, 634, 31368, 13486, 568, 4516, 781, 1034, 4583, 3090, 543, 519, 8998, 540, 9235, 538, 17842, 269, 3683, 476, 20862, 7397, 267, 621, 568, 835, 540, 519, 32399, 2679, 538, 519, 1158, 282, 593, 513, 2312, 1554, 519, 2070, 568, 8748, 269, 3962, 1032, 267, 1472, 476, 273, 2929, 1004, 1491, 519, 30981, 11878, 547, 519, 1283, 540, 519, 13486, 547, 1491, 538, 519, 7362, 23824, 2070, 693, 519, 1283, 540, 519, 1158, 269, 4495, 596, 616, 693, 519, 1283, 267, 1294, 952, 596, 723, 519, 10100, 547, 3802, 2066, 519, 1294, 28443, 4837, 6989, 1547, 1403, 596, 616, 17237, 267, 1544, 547, 3548, 693, 519, 2847, 6295, 13962, 693, 519, 1283, 540, 519, 13486, 269, 634, 6989, 538, 519, 476, 11740, 24266, 13962, 29226, 2899, 1169, 476, 7761, 3764, 3850, 3025, 513, 2347, 2070, 540, 519, 2749, 2630, 269, 634, 31368, 13486, 814, 7745, 2594, 1082, 2053, 267, 10888, 971, 10643, 607, 2622, 781, 7043, 652, 19045, 25047, 13826, 2073, 13328, 781, 30460, 652, 2679, 543, 2073, 1034, 5063, 2073, 2622, 781, 11612, 4554, 29879, 8426, 541, 269, 769, 476, 1960, 276, 267, 519, 31368, 13486, 729, 2808, 607, 835, 540, 519, 5722, 13300, 540, 519, 7073, 2622, 269, 4653, 267, 519, 1283, 540, 519, 13486, 267, 811, 982, 476, 18357, 332, 538, 519, 2011, 267, 5713, 607, 519, 1032, 15778, 9036, 585, 811, 982, 476, 20862, 1004, 269, 634, 13486, 781, 4600, 948, 547, 1118, 519, 1158, 11665, 18845, 543, 1426, 972, 269, 2755, 693, 519, 31368, 13486, 267, 596, 3513, 849, 723, 519, 4960, 547, 3643, 10516, 15945, 269, 1411, 786, 1265, 519, 31368, 18975, 538, 519, 2295, 540, 25708, 267, 593, 13571, 9335, 269, 2201, 519, 5087, 13272, 540, 8235, 14411, 267, 519, 31368, 18975, 568, 1930, 476, 3607, 275, 2395, 513, 1032, 263, 743, 2216, 593, 8285, 4303, 1040, 5808, 666, 1405, 3643, 519, 31368, 13486, 888, 288, 269, 25126, 945, 814, 2295, 4323, 563, 289, 269, 1323, 2025, 812, 945, 814, 3893, 2770, 563, 290, 269, 589, 1268, 12922, 540, 4463, 454, 291, 269, 589, 4807, 2348, 1164, 1973, 563, 12585, 281, 595, 0, 290, 1513, 1299, 4033, 30863, 281, 1215, 547, 11547, 707, 1286, 538, 519, 5162, 5503, 269, 2422, 513, 3318, 1286, 11547, 609, 1688, 18988, 2604, 530, 1343, 269, 2755, 596, 666, 11547, 707, 1286, 693, 1753, 267, 621, 568, 1655, 547, 946, 513, 3318, 1286, 11547, 269, 5269, 2386, 596, 3442, 513, 1286, 11547, 602, 814, 1688, 18988, 2604, 530, 1343, 269, 901, 786, 948, 596, 4894, 1351, 4592, 633, 8069, 689, 707, 1286, 781, 1560, 543, 896, 8364, 5846, 907, 3399, 693, 519, 1283, 543, 960, 707, 1259, 1524, 269, 0, 4263, 519, 2754, 17552, 5371, 267, 15776, 12340, 18423, 693, 519, 13719, 1439, 540, 519, 11432, 543, 30621, 18423, 693, 519, 2620, 1439, 267, 1317, 15776, 12340, 729, 796, 659, 1260, 680, 1639, 693, 10977, 269, 0, 9223, 281, 1548, 568, 519, 2012, 540, 519, 5507, 16222, 3957, 1310, 513, 7777, 5614, 4362, 538, 476, 12739, 274, 950, 513, 2575, 2777, 729, 3710, 972, 888, 12585, 281, 561, 27482, 15922, 5894, 16222, 0, 9223, 281, 5253, 13603, 909, 1175, 513, 1906, 7643, 1310, 1373, 12628, 568, 1447, 2693, 547, 2270, 4551, 476, 982, 952, 621, 568, 2451, 585, 3476, 5712, 540, 942, 267, 2687, 547, 519, 4681, 540, 1382, 5645, 856, 693, 8330, 517, 2160, 781, 3427, 540, 5020, 543, 2657, 7070, 269, 634, 4681, 2303, 972, 949, 581, 930, 3621, 4493, 547, 519, 834, 276, 2034, 4341, 257, 26905, 519, 3661, 827, 621, 1373, 5386, 547, 3548, 1426, 602, 814, 1152, 1185, 3346, 609, 519, 6989, 585, 2947, 7643, 610, 1447, 269, 4014, 1004, 723, 1279, 4553, 519, 476, 276, 2034, 4341, 267, 2394, 1631, 621, 729, 15458, 2436, 621, 2965, 5280, 269, 634, 1353, 267, 17298, 676, 3803, 1032, 10334, 1053, 543, 3366, 676, 20900, 23664, 2023, 267, 7905, 540, 31814, 693, 8330, 517, 2160, 267, 16913, 519, 4483, 540, 519, 1455, 4551, 689, 513, 3099, 540, 11255, 32466, 2010, 630, 8364, 7065, 267, 9160, 6989, 3092, 4700, 547, 547, 770, 267, 18437, 267, 513, 536, 4593, 3726, 543, 513, 20202, 6653, 950, 3346, 729, 1500, 689, 476, 274, 547, 476, 1789, 7643, 269, 634, 2164, 4951, 602, 281, 5384, 568, 513, 1713, 3815, 538, 519, 4483, 540, 4551, 689, 513, 6989, 2627, 547, 513, 4062, 540, 1426, 282, 543, 519, 1826, 540, 32466, 519, 1426, 814, 1044, 12628, 593, 814, 606, 1198, 267, 609, 4551, 2547, 2693, 547, 4483, 689, 24095, 539, 7252, 543, 1034, 2693, 547, 4483, 689, 9160, 32466, 7252, 547, 5848, 476, 3536, 1818, 3346, 585, 811, 982, 476, 276, 7643, 269, 7905, 23664, 2023, 1767, 281, 834, 8256, 11167, 1426, 12628, 593, 519, 6989, 1869, 11438, 606, 3968, 1981, 607, 621, 1360, 1454, 5673, 593, 799, 4551, 616, 1459, 593, 519, 6989, 693, 519, 942, 1701, 634, 8330, 517, 2319, 849, 5645, 856, 513, 5619, 540, 519, 1297, 540, 1004, 945, 2308, 519, 476, 276, 2034, 4341, 269, 634, 5619, 4951, 602, 281, 476, 9262, 260, 540, 1004, 23500, 1767, 789, 1131, 3548, 1426, 12628, 593, 519, 6989, 267, 610, 2907, 723, 2944, 865, 269, 476, 4649, 260, 540, 1346, 945, 1131, 3548, 610, 723, 13881, 1426, 12628, 593, 519, 6989, 616, 2021, 269, 476, 10037, 260, 540, 519, 2021, 945, 1131, 3548, 1426, 689, 519, 6989, 1131, 1246, 519, 476, 276, 2034, 4341, 269, 7905, 23664, 2023, 3773, 267, 834, 5978, 1353, 4951, 602, 513, 19599, 1804, 5354, 540, 1004, 616, 6126, 547, 8532, 12628, 1426, 267, 609, 2021, 519, 1034, 2693, 547, 798, 865, 269, 1809, 789, 616, 849, 811, 2693, 547, 1246, 519, 476, 276, 2034, 4341, 1701, 4340, 547, 519, 8574, 267, 799, 540, 519, 1739, 568, 3020, 888, 288, 269, 589, 547, 770, 12628, 593, 519, 24095, 568, 4443, 547, 581, 26130, 982, 602, 12628, 593, 519, 9160, 6989, 563, 289, 269, 589, 20202, 10217, 12628, 593, 519, 24095, 568, 4443, 547, 581, 26130, 982, 602, 12628, 593, 519, 9160, 6989, 1369, 476, 276, 7643, 563, 290, 269, 634, 1426, 12628, 593, 519, 24095, 8843, 519, 1482, 1761, 540, 1373, 26130, 609, 519, 1426, 12628, 593, 519, 9160, 6989, 563, 291, 269, 634, 1426, 12628, 593, 519, 9160, 6989, 568, 711, 607, 2922, 607, 1426, 12628, 593, 519, 24095, 1369, 476, 1789, 7643, 563, 12585, 281, 667, 0, 9223, 281, 7256, 13328, 5842, 17630, 568, 835, 540, 519, 1158, 781, 4583, 7286, 7045, 11614, 609, 476, 1220, 14143, 540, 1158, 11665, 2982, 267, 13858, 26055, 543, 20605, 3662, 13341, 269, 2859, 982, 476, 3199, 2929, 8436, 723, 8268, 519, 13655, 540, 519, 4262, 1934, 269, 663, 6170, 519, 1554, 10992, 856, 782, 22221, 2982, 1519, 519, 2773, 540, 1744, 600, 340, 519, 20740, 17962, 269, 769, 1063, 2982, 596, 666, 2972, 3054, 593, 26676, 342, 516, 1188, 14943, 1749, 269, 1879, 596, 1265, 602, 519, 10761, 814, 27071, 707, 1648, 596, 666, 1491, 513, 2736, 547, 4585, 1744, 600, 340, 2673, 256, 14400, 2027, 7256, 13328, 5842, 17630, 476, 278, 1673, 904, 1780, 20661, 693, 17718, 781, 12313, 256, 1133, 15905, 16075, 547, 7256, 13328, 5842, 17630, 585, 909, 547, 476, 278, 15654, 2395, 689, 4266, 540, 1101, 946, 15301, 19989, 998, 5181, 476, 1789, 267, 476, 1001, 271, 264, 16989, 630, 1137, 476, 1724, 266, 264, 19835, 12313, 1269, 7597, 269, 876, 2659, 12313, 259, 6321, 269, 2004, 4132, 630, 1137, 476, 274, 268, 1321, 264, 19835, 12313, 1269, 6795, 269, 876, 2659, 12313, 1269, 6321, 269, 2004, 476, 278, 28233, 10426, 17676, 645, 2177, 4785, 281, 7256, 13328, 5842, 17630, 634, 3619, 5842, 17630, 9315, 568, 707, 19044, 547, 519, 1655, 5842, 17630, 814, 547, 2709, 269, 1280, 835, 3902, 596, 666, 4283, 936, 476, 4649, 18845, 910, 1519, 519, 5842, 17630, 25089, 267, 634, 772, 2529, 2529, 269, 11068, 3118, 267, 6181, 565, 663, 267, 1733, 1446, 654, 10248, 1401, 15479, 687, 267, 543, 1454, 811, 269, 634, 3619, 9315, 568, 519, 1152, 19044, 596, 991, 267, 9494, 596, 909, 547, 476, 4649, 260, 3379, 547, 9140, 1367, 23504, 269, 9578, 267, 2972, 966, 7709, 1569, 547, 930, 540, 5842, 17630, 781, 1283, 18845, 15301, 19989, 4989, 476, 272, 267, 476, 1001, 271, 910, 4728, 476, 4029, 267, 476, 1001, 272, 264, 16989, 630, 1137, 476, 1724, 266, 264, 19835, 12313, 1269, 29257, 269, 876, 4132, 630, 1137, 476, 274, 268, 1321, 264, 19835, 12313, 1269, 13975, 269, 876, 4132, 781, 32402, 564, 585, 8307, 1269, 276, 269, 876, 1280, 5176, 476, 2004, 1296, 267, 7256, 13328, 20088, 1299, 30007, 814, 1044, 11324, 5224, 543, 11222, 22626, 2831, 538, 991, 269, 1284, 849, 960, 547, 1489, 5726, 3646, 1472, 519, 1158, 269, 898, 781, 938, 6612, 543, 938, 10279, 269, 1284, 1131, 899, 547, 16436, 596, 547, 581, 513, 851, 540, 621, 269, 3767, 998, 5412, 476, 4029, 267, 476, 1001, 271, 267, 950, 772, 2529, 269, 7264, 6718, 513, 2407, 17376, 823, 2937, 16075, 267, 1453, 6502, 476, 274, 268, 1321, 4309, 513, 19044, 547, 7256, 13328, 585, 1152, 1269, 276, 269, 876, 269, 630, 21918, 527, 540, 835, 1269, 276, 269, 876, 7256, 13328, 595, 4100, 1126, 19044, 609, 1142, 2937, 19044, 12349, 910, 909, 547, 513, 5021, 540, 476, 277, 1126, 17914, 1040, 1403, 596, 2154, 811, 1126, 17914, 267, 596, 3513, 991, 547, 6718, 891, 689, 519, 476, 278, 6377, 1126, 19044, 7396, 1657, 269, 476, 1911, 260, 540, 519, 23131, 786, 581, 24603, 676, 7256, 13328, 547, 519, 7256, 13328, 20324, 20415, 25052, 11094, 8750, 269, 16989, 630, 1137, 476, 1724, 266, 264, 19835, 12313, 1269, 7597, 269, 876, 2659, 12313, 259, 7597, 269, 4132, 630, 1137, 476, 274, 268, 1321, 264, 19835, 12313, 1269, 6795, 269, 876, 2659, 12313, 1269, 276, 634, 3483, 540, 519, 8574, 568, 567, 9041, 476, 4586, 288, 269, 547, 4766, 519, 5898, 540, 7256, 13328, 5842, 17630, 454, 289, 269, 547, 2721, 811, 8436, 538, 519, 4832, 540, 476, 1001, 271, 454, 290, 269, 547, 2995, 540, 519, 1034, 3078, 2238, 454, 291, 269, 547, 6338, 1585, 17914, 585, 1453, 454, 12585, 281, 645, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 627, 8636, 1782, 2025, 11381, 834, 536, 834, 2025, 627, 8636, 1782, 11381, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 9223, 281, 3864, 4303, 540, 19932, 8813, 593, 476, 2918, 5181, 269, 18917, 5240, 6732, 4080, 519, 8456, 2066, 1896, 3864, 5742, 2477, 547, 4654, 269, 570, 4461, 514, 8055, 267, 7507, 267, 7977, 32228, 2103, 1747, 1360, 1164, 2956, 593, 1565, 4654, 267, 3226, 2296, 269, 26062, 1296, 3516, 621, 729, 3833, 2352, 547, 1265, 606, 2296, 10584, 1934, 855, 2221, 621, 568, 3833, 2653, 269, 634, 2178, 3310, 540, 1977, 543, 2296, 2528, 2337, 1762, 1004, 547, 1451, 519, 2296, 1893, 269, 1358, 1419, 1831, 5432, 609, 621, 998, 834, 295, 14019, 25260, 257, 2835, 610, 18557, 9413, 269, 2296, 3506, 267, 1141, 7969, 1453, 616, 6026, 782, 741, 4245, 538, 2296, 267, 616, 849, 4742, 2442, 1851, 3638, 32228, 2103, 269, 13198, 857, 523, 19115, 267, 8303, 267, 5333, 19932, 616, 1360, 1271, 538, 5333, 269, 589, 1434, 1702, 540, 519, 2296, 1893, 568, 2556, 585, 1082, 3943, 5443, 547, 1205, 513, 1434, 2816, 543, 519, 811, 4654, 596, 666, 1451, 267, 519, 1732, 269, 2296, 568, 519, 1101, 1893, 596, 1451, 538, 1153, 543, 596, 1376, 1360, 1762, 269, 4107, 1004, 723, 693, 2547, 5216, 1296, 540, 1565, 2296, 693, 1153, 269, 4804, 4436, 610, 5053, 2501, 1985, 543, 5824, 568, 849, 6026, 538, 1034, 3506, 269, 2755, 3943, 1004 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2501, 1985, 563, 1805, 3244, 976, 6816, 23467, 1280, 22312, 1635, 13574, 518, 267, 15011, 1177, 330, 9509, 28414, 267, 7454, 16179, 6732, 17776, 8889, 267, 667, 1143, 870, 539, 9061, 5320, 1849, 826, 267, 2672, 837, 1633, 1677, 20736, 5069, 267, 5398, 667, 1456, 18740, 32386, 267, 589, 517, 778, 661, 698, 778, 25966, 595, 1026, 3619, 577, 267, 700, 3424, 7308, 22286, 777, 5999, 1656, 12226, 6168, 3163, 267, 5981, 18588, 1520, 1941, 564, 1729, 20176, 625, 267, 8230, 6229, 667, 333, 343, 6872, 272, 1410, 15015, 267, 589, 3022, 5516, 10866, 1656, 8881, 8189, 5851, 267, 6052, 1763, 969, 7546, 12791, 769, 20474, 267, 3683, 28702, 9061, 5320, 1849, 826, 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 ]
[ 0, 258, 4855, 782, 7787, 21325, 540, 519, 9971, 267, 543, 2328, 519, 9971, 538, 1249, 1819, 1106, 269, 623, 3287, 6661, 273, 343, 3867, 274, 18511, 274, 343, 3867, 273, 18511, 273, 343, 266, 274, 692, 8340, 782, 7787, 21325, 540, 519, 9971, 267, 543, 2328, 519, 9971, 538, 1249, 1819, 1106, 563, 11377, 6234, 346, 303, 7346, 3847, 20719, 343, 4153, 2431, 264, 13157, 346, 273, 2410, 343, 8703, 13997, 274, 3686, 18511, 346, 274, 2410, 343, 8703, 13997, 273, 3686, 18511, 346, 273, 2410, 343, 15396, 346, 274, 15732, 1892, 5999, 616, 3335, 12943, 538, 607, 3728, 607, 476, 1789, 3764, 692, 2162, 16534, 707, 1966, 585, 519, 3902, 540, 835, 6995, 692, 1892, 4569, 4274, 585, 1169, 1641, 454, 1892, 9796, 1152, 952, 649, 666, 4194, 621, 692, 6635, 5069, 2782, 1676, 454, 3721, 476, 272, 454, 11377, 6234, 346, 303, 7346, 3847, 20719, 343, 4153, 2431, 264, 13157, 346, 273, 2410, 343, 8703, 13997, 274, 3686, 18511, 346, 274, 2410, 343, 8703, 13997, 273, 3686, 18511, 346, 273, 2410, 343, 15396, 346, 274, 28021, 5472, 7787, 21325, 815, 15017, 15542, 1819, 1106, 815, 15017, 11377, 6234, 346, 303, 7346, 3847, 20719, 343, 4153, 2431, 264, 13157, 346, 343, 8703, 13997, 273, 3686, 7346, 3847, 20719, 273, 2410, 343, 18511, 346, 274, 4153, 2431, 14587, 268, 346, 273, 7346, 3847, 20719, 273, 2410, 343, 18511, 346, 274, 4153, 2431, 264, 28021, 11377, 6234, 346, 303, 7346, 3847, 20719, 343, 4153, 2431, 264, 13157, 3189, 3847, 20719, 273, 2410, 343, 18511, 346, 274, 4153, 2431, 264, 7346, 3847, 20719, 343, 8703, 13997, 273, 3686, 18511, 346, 273, 4153, 2431, 264, 28021, 11377, 6234, 346, 303, 7346, 3847, 20719, 343, 4153, 2431, 264, 13157, 3189, 3847, 20719, 273, 2410, 343, 18511, 346, 274, 4153, 2431, 264, 7346, 3847, 20719, 343, 32757, 6912, 13997, 346, 273, 3686, 4153, 2431, 264, 7346, 3847, 20719, 343, 23180, 6912, 13997, 346, 273, 3686, 4153, 2431, 264, 28021, 763, 9971, 538, 1249, 1819, 1106, 912, 11377, 6234, 346, 303, 7346, 3847, 20719, 343, 4153, 2431, 264, 13157, 3189, 3847, 20719, 273, 2410, 343, 18511, 346, 274, 4153, 2431, 264, 7346, 3847, 20719, 343, 32757, 6912, 13997, 346, 273, 3686, 4153, 2431, 264, 7346, 3847, 20719, 343, 23180, 6912, 13997, 346, 273, 3686, 4153, 2431, 264, 28021, 3721, 476, 273, 454, 2414, 1265, 7787, 21325, 912, 21607, 623, 3287, 264, 815, 476, 271, 454, 11377, 6234, 3189, 3847, 20719, 273, 2410, 343, 18511, 346, 274, 4153, 2431, 264, 7346, 3847, 20719, 343, 32757, 6912, 13997, 346, 273, 3686, 4153, 2431, 264, 7346, 3847, 20719, 343, 23180, 6912, 13997, 346, 273, 3686, 4153, 2431, 264, 13157, 346, 271, 28021, 11377, 6234, 346, 273, 2410, 343, 18511, 346, 274, 13157, 346, 271, 4153, 23976, 12757, 13157, 3189, 2765, 13997, 346, 274, 3686, 2410, 13997, 273, 3686, 3686, 16465, 11377, 6234, 12757, 32757, 6912, 13997, 346, 273, 3686, 13157, 346, 271, 4153, 23976, 12757, 18098, 6912, 13997, 346, 273, 3686, 28021, 11377, 6234, 12757, 23180, 6912, 13997, 346, 273, 3686, 13157, 346, 271, 4153, 23976, 12757, 13157, 10559, 6912, 13997, 346, 273, 3686, 28021, 763, 7787, 21325, 616, 281, 6695, 6234, 10559, 6912, 13997, 346, 273, 3686, 9574, 315, 6912, 13997, 346, 273, 3686, 6525, 543, 6695, 6234, 3189, 2765, 13997, 346, 274, 3686, 2410, 13997, 273, 3686, 3686, 21974, 0, 1012, 10732, 476, 280, 5239, 476, 1001, 272, 692, 2162, 21929, 24306, 540, 513, 28065, 17817, 692, 2080, 568, 606, 4277, 32751, 542, 547, 2119, 282, 1491, 513, 13392, 3830, 602, 596, 917, 814, 7787, 5072, 267, 543, 1287, 7989, 1393, 519, 2418, 540, 589, 267, 645, 267, 543, 595, 998, 782, 2009, 7648, 269, 1548, 568, 519, 5506, 602, 789, 1131, 20231, 723, 7787, 5072, 2496, 2690, 1383, 267, 596, 1522, 2119, 476, 273, 343, 273, 266, 278, 343, 1341, 476, 274, 267, 799, 814, 5072, 540, 910, 272, 270, 273, 543, 910, 274, 269, 1403, 596, 6467, 547, 476, 273, 343, 273, 266, 274, 343, 1341, 476, 278, 972, 616, 1100, 1483, 5072, 693, 782, 269, 769, 1249, 267, 2185, 540, 519, 3670, 32545, 723, 16494, 5072, 267, 543, 1152, 476, 274, 343, 273, 266, 278, 343, 1341, 273, 849, 814, 7787, 5072, 780, 2252, 3079, 267, 596, 1185, 1031, 1535, 273, 266, 274, 343, 910, 476, 1015, 630, 23085, 693, 476, 273, 543, 910, 276, 264, 596, 1131, 1265, 1614, 824, 32545, 1185, 7787, 5072, 267, 476, 274, 343, 273, 21147, 910, 1015, 267, 910, 1015, 343, 273, 266, 274, 343, 1341, 476, 272, 267, 543, 910, 1015, 343, 273, 266, 272, 343, 1341, 476, 274, 1547, 634, 824, 1079, 32545, 723, 1483, 19450, 5072, 780, 1432, 5949, 609, 519, 5079, 596, 1500, 585, 589, 267, 645, 267, 543, 595, 630, 9767, 667, 2839, 798, 621, 4769, 1405, 596, 11631, 286, 1916, 15703, 2055, 1402, 909, 13718, 3674, 621, 2009, 585, 2353, 3670, 540, 519, 32545, 547, 723, 7787, 5072, 2496, 13828, 1250, 1806, 723, 606, 1256, 1297, 540, 519, 32545, 602, 723, 7787, 5072, 269, 1772, 621, 2009, 602, 519, 1297, 540, 32545, 609, 7787, 5072, 1223, 581, 9642, 2496, 3674, 621, 2009, 602, 513, 3903, 540, 589, 267, 645, 267, 543, 595, 1131, 723, 1079, 32545, 609, 7787, 5072, 267, 1079, 609, 19450, 5072, 267, 543, 1079, 609, 16494, 5072, 286, 630, 338, 677, 540, 519, 10700, 3597, 959, 604, 624, 320, 2020, 763, 2626, 547, 519, 1101, 2243, 568, 9811, 267, 543, 621, 568, 711, 22350, 3454, 532, 547, 2491, 519, 2009, 4093, 563, 4131, 781, 2253, 609, 589, 32390, 267, 290, 782, 2318, 269, 1109, 1280, 713, 547, 960, 538, 782, 32545, 267, 519, 10545, 267, 950, 621, 8813, 607, 645, 267, 1590, 581, 1804, 2614, 602, 645, 317, 273, 3436, 476, 275, 3722, 269, 1109, 1703, 1131, 581, 1100, 1966, 952, 645, 568, 23564, 585, 2901, 3677, 2338, 2094, 621, 4679, 519, 2451, 2427, 543, 11081, 519, 1318, 2427, 540, 519, 6935, 269, 1109, 1280, 782, 2942, 519, 1482, 1935, 10039, 780, 2252, 1152, 835, 540, 519, 9981, 568, 2942, 267, 519, 5072, 786, 581, 1483, 538, 1022, 540, 519, 2185, 32545, 1141, 519, 2942, 568, 538, 519, 16302, 610, 519, 3586, 2165, 269, 1109, 1280, 519, 3803, 1079, 32545, 267, 1141, 519, 2942, 568, 519, 5276, 11664, 267, 922, 4009, 1590, 581, 3436, 1109, 275, 265, 1587, 540, 519, 1079, 2318, 2474, 10484, 2252, 1079, 616, 2942, 267, 649, 1586, 723, 2185, 32545, 1141, 519, 5072, 1590, 581, 1483, 269, 1109, 5565, 1141, 519, 2318, 2165, 568, 519, 13392, 11664, 267, 543, 519, 1079, 1141, 621, 568, 519, 3586, 269, 1109, 1280, 519, 19046, 1079, 32545, 267, 519, 2318, 2165, 1590, 581, 1109, 1109, 285, 1109, 275, 265, 1587, 540, 519, 1079, 2942, 2474, 780, 296, 899, 519, 2034, 2243, 1317, 621, 666, 581, 12193, 609, 513, 2241, 9029, 547, 15340, 269, 4595, 645, 273, 268, 275, 3722, 568, 3160, 547, 645, 317, 273, 268, 275, 7563, 267, 27300, 589, 543, 595, 786, 2141, 3132, 519, 1482, 1871, 585, 519, 5806, 5364, 630, 289, 273, 268, 275, 3722, 1040, 1924, 519, 1297, 540, 32545, 799, 723, 7787, 5072, 786, 2141, 581, 1256, 267, 476, 271, 267, 476, 273, 267, 476, 275, 610, 476, 277, 780, 2690, 519, 12059, 267, 594, 759, 9285, 547, 513, 2780, 3406, 543, 519, 1101, 594, 1336, 729, 609, 519, 2418, 540, 476, 272, 267, 910, 275, 267, 543, 910, 276, 269, 1535, 273, 268, 275, 343, 268, 276, 814, 7787, 5072, 267, 1535, 273, 268, 276, 343, 268, 275, 814, 19450, 5072, 267, 543, 910, 275, 343, 273, 21147, 268, 276, 814, 16494, 5072, 780, 2971, 476, 272, 6085, 1384, 21837, 1767, 13718, 19950, 532, 2243, 256, 594, 1336, 476, 1724, 9247, 1114, 2468, 1255, 540, 9981, 630, 320, 14720, 22698, 264, 971, 602, 4949, 317, 273, 17070, 343, 25239, 814, 7787, 5072, 585, 1169, 32089, 540, 519, 14170, 269, 594, 2838, 602, 476, 271, 2999, 513, 18016, 1923, 321, 347, 18016, 1923, 322, 347, 2999, 476, 4335, 267, 513, 17070, 25239, 9881, 510, 476, 271, 267, 543, 575, 7251, 5416, 14720, 22698, 264, 815, 476, 272, 780, 276, 910, 3451, 476, 7367, 454, 279, 476, 3393, 910, 6507, 454, 280, 476, 3607, 910, 5952, 454, 1556, 476, 7367, 910, 25971, 454, 736, 476, 3953, 910, 15836, 454, 2641, 476, 10602, 910, 13970, 454, 2537, 910, 13679, 476, 24487, 454, 3953, 476, 2568, 910, 16960, 454, 3393, 476, 15094, 910, 275, 4366, 454, 6812, 476, 16960, 910, 24833, 454, 4037, 476, 14138, 910, 23470, 454, 10844, 476, 24241, 910, 21878, 454, 14028, 476, 14378, 910, 4391, 275, 0, 258, 1403, 4399, 6523, 1422, 9064, 10954, 6523, 476, 3867, 273, 348, 1422, 9064, 284, 272, 8961, 6961, 602, 7445, 7562, 476, 3867, 1321, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 1015, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 279, 348, 1422, 9064, 10954, 7562, 476, 3867, 277, 348, 1422, 9064, 266, 273, 1422, 7562, 476, 3867, 275, 348, 1422, 9064, 266, 273, 1422, 7562, 476, 3867, 273, 348, 1422, 9064, 268, 273, 284, 272, 6911, 11693, 1384, 7445, 6523, 1422, 9064, 10954, 6523, 476, 3867, 273, 348, 1422, 9064, 284, 272, 6911, 2414, 798, 1384, 2171, 723, 547, 6961, 602, 4399, 7562, 476, 3867, 1321, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 1015, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 279, 348, 1422, 9064, 10954, 7562, 476, 3867, 277, 348, 1422, 9064, 266, 273, 1422, 7562, 476, 3867, 275, 348, 1422, 9064, 266, 273, 1422, 7562, 476, 3867, 273, 348, 1422, 9064, 268, 273, 284, 272, 16859, 11405, 1384, 2171, 917, 602, 10484, 7445, 7562, 317, 273, 589, 10954, 6523, 317, 273, 589, 284, 272, 6911, 7445, 28072, 4067, 26231, 846, 322, 11892, 273, 589, 10559, 20799, 317, 273, 589, 284, 272, 6911, 7445, 5913, 317, 273, 589, 10559, 11927, 317, 273, 589, 284, 272, 6911, 7445, 20799, 589, 7807, 2765, 3189, 6523, 589, 7346, 7562, 589, 10592, 7445, 11927, 589, 7807, 2765, 3189, 7562, 589, 7346, 6523, 589, 10592, 7445, 28072, 4067, 26231, 846, 322, 348, 589, 7807, 2765, 346, 272, 7346, 7562, 589, 10592, 7445, 5913, 589, 7807, 2765, 346, 272, 7346, 6523, 589, 10592, 11997, 10484, 7445, 6523, 1422, 9064, 10954, 6523, 476, 3867, 273, 348, 1422, 9064, 284, 272, 6911, 7445, 23976, 1422, 6523, 1422, 9064, 284, 272, 10559, 6523, 476, 3867, 273, 348, 1422, 9064, 6911, 7445, 23976, 1422, 6523, 1422, 9064, 7807, 7562, 476, 3867, 273, 348, 1422, 9064, 6911, 7445, 23976, 1422, 6523, 317, 273, 1422, 9064, 7807, 7562, 476, 3867, 275, 348, 1422, 9064, 6911, 1607, 10522, 10484, 7445, 7562, 476, 3867, 1321, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 1015, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 279, 348, 1422, 9064, 10954, 7562, 476, 3867, 277, 348, 1422, 9064, 1341, 273, 1422, 7562, 476, 3867, 275, 348, 1422, 9064, 266, 273, 1422, 7562, 476, 3867, 273, 348, 1422, 9064, 268, 273, 815, 7268, 7562, 476, 3867, 1321, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 1015, 348, 1422, 9064, 266, 274, 1422, 7562, 476, 3867, 279, 348, 1422, 9064, 10954, 7562, 476, 3867, 277, 348, 1422, 9064, 11924, 273, 7268, 7562, 476, 3867, 275, 348, 1422, 9064, 10954, 7562, 476, 3867, 273, 348, 1422, 9064, 268, 272, 22491, 259, 284, 7268, 7562, 476, 3867, 275, 348, 1422, 9064, 10954, 7562, 476, 3867, 273, 348, 1422, 9064, 22722, 274, 15396, 273, 7268, 7562, 476, 3867, 275, 348, 1422, 9064, 10954, 7562, 476, 3867, 273, 348, 1422, 9064, 268, 272, 7751, 1109, 7545, 476, 1109, 314, 7712, 18159, 320, 17070, 22722, 274, 13157, 320, 3867, 274, 15396, 274, 513, 3867, 273, 348, 536, 266, 274, 513, 536, 3867, 273, 15396, 321, 3867, 274, 4151, 6540, 259, 284, 7268, 6523, 476, 3867, 273, 348, 1422, 9064, 10954, 7562, 476, 3867, 273, 348, 1422, 9064, 22722, 274, 15396, 273, 7268, 6523, 476, 3867, 273, 348, 1422, 9064, 10954, 7562, 476, 3867, 273, 348, 1422, 9064, 268, 272, 22491, 259, 14352, 272, 22722, 274, 15396, 273, 263, 272, 268, 272, 22491, 259, 284, 272, 266, 273, 1422, 9392, 476, 271, 6911, 259, 284, 272, 266, 271, 6911, 259, 284, 272, 6911, 17798, 9863, 780, 307, 583, 3645, 338, 4812, 692, 8245, 2952, 14168, 4804, 692, 24993, 593, 281, 476, 1015, 268, 12914, 268, 1708 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7194, 585, 824, 3109, 1004, 269, 1284, 1223, 2307, 519, 2565, 2243, 281, 616, 20908, 572, 543, 22216, 2643, 779, 2984, 2731, 6093, 540, 7862, 540, 4316, 585, 3109, 1004, 540, 602, 5108, 888, 7093, 17800, 281, 10925, 5864, 779, 8574, 568, 1808, 267, 2143, 543, 3169, 563, 3725, 23428, 281, 10925, 5864, 779, 1383, 540, 5800, 12493, 568, 267, 646, 13187, 267, 22566, 540, 6626, 3466, 538, 7862, 540, 4316, 269, 3571, 3140, 6476, 568, 1134, 1922, 26860, 547, 1010, 4661, 543, 2337, 519, 5467, 2992, 593, 519, 1292, 3466, 543, 1880, 3344, 540, 519, 3390, 630, 6420, 7862, 540, 4316, 1916, 2171, 1223, 1869, 2243, 519, 10083, 538, 930, 3344, 563, 268, 1772, 621, 2731, 10257, 547, 2489, 1125, 689, 713, 835, 1507, 4884, 538, 519, 15309, 12966, 286, 1772, 5800, 22735, 2731, 4143, 547, 519, 9962, 4798, 540, 1514, 10688, 543, 3160, 4316, 888, 268, 3657, 519, 6386, 646, 3947, 2731, 22566, 540, 519, 3466, 646, 14439, 630, 26625, 9285, 676, 7194, 25145, 268, 3657, 972, 824, 3466, 543, 1806, 602, 1522, 1689, 519, 1259, 649, 666, 21230, 1589, 827, 8635, 540, 4316, 630, 1721, 1383, 267, 568, 5198, 2731, 1447, 1271, 982, 1362, 25145, 291, 3704, 281, 10925, 5864, 779, 3184, 31267, 621, 779, 3178, 676, 2502, 609, 519, 6988, 540, 519, 1966, 540, 3395, 8635, 269, 634, 3184, 1281, 713, 998, 922, 3140, 6476, 267, 1134, 268, 601, 1987, 730, 1806, 267, 946, 540, 12497, 6688, 630, 5035, 267, 4008, 267, 5198, 282, 7862, 540, 3892, 267, 7862, 540, 4316, 267, 6207, 543, 3448, 1514, 10688, 1070, 8220, 540, 519, 1880, 547, 519, 2489, 563, 9616, 267, 519, 3184, 568, 1152, 606, 4367, 547, 519, 1433, 267, 865, 18113, 32198, 875, 1134, 10925, 5864, 9388, 609, 519, 6988, 540, 519, 3390, 646, 11828, 1131, 723, 547, 7227, 2394, 649, 1224, 519, 2898, 1433, 563, 289, 1348, 628, 543, 14619, 912, 3528, 6313, 7862, 689, 519, 1448, 540, 2070, 540, 1004, 540, 1114, 14797, 267, 25469, 543, 5049, 267, 543, 2502, 609, 873, 1623, 6312, 24312, 630, 515, 14659, 540, 873, 607, 2048, 712, 3214, 685, 1070, 10925, 5864, 3947, 3833, 513, 2603, 540, 4560, 543, 14619, 563, 8448, 5830, 1522, 1491, 1114, 4485, 547, 519, 1966, 267, 543, 649, 1131, 630, 28785, 264, 991, 547, 1224, 519, 2898, 1433, 547, 1294, 952, 10925, 5864, 3947, 4055, 585, 824, 2565, 5784, 563, 763, 3184, 2306, 2631, 269, 10925, 5864, 23131, 689, 17548, 1010, 1292, 2856, 547, 11840, 908, 1010, 1806, 543, 1287, 2489, 1944, 676, 8220, 547, 6626, 3084, 3466, 269, 3571, 3140, 6476, 10953, 25401, 630, 4198, 271, 338, 9706, 6974, 264, 543, 1010, 25759, 3296, 26564, 1134, 630, 553, 1134, 607, 9870, 824, 7811, 8276, 1385, 1670, 2152, 811, 4143, 585, 519, 1964, 540, 519, 1433, 1916, 763, 1977, 14134, 568, 519, 1883, 1514, 7242, 585, 1977, 2486, 267, 543, 606, 1271, 2460, 540, 519, 5326, 540, 4316, 568, 602, 621, 1058, 581, 12581, 269, 1924, 10925, 5864, 779, 1641, 1223, 581, 1767, 547, 581, 3810, 1713, 585, 4892, 630, 663, 4896, 5461, 538, 3013, 1916, 15371, 513, 5467, 14659, 1010, 9962, 4661, 827, 3540, 2486, 568, 607, 1713, 607, 519, 1966, 646, 14439, 1522, 581, 811, 30940, 630, 529, 2146, 6891, 610, 519, 3668, 540, 621, 269, 2731, 519, 1034, 1713, 3390, 286, 1548, 827, 519, 2797, 4346, 267, 29724, 2000, 28515, 1143, 267, 10168, 286, 994, 32622, 827, 707, 2565, 13220, 563, 268, 2368, 540, 596, 4857, 519, 1292, 2093, 543, 24298, 873, 1134, 269, 11524, 1705, 711, 563, 268, 2368, 540, 596, 6836, 547, 17412, 1010, 2093, 593, 519, 4493, 540, 1175, 3368, 519, 1650, 630, 328, 4318, 1421, 519, 476, 4198, 271, 338, 270, 1492, 1459, 1916, 268, 2368, 540, 596, 4330, 1018, 596, 1185, 1224, 8499, 267, 1866, 1705, 711, 630, 1721, 1383, 267, 596, 1152, 4988, 930, 540, 519, 1806, 267, 899, 519, 2663, 6476, 1063, 6424, 543, 595, 3559, 22855, 1916, 268, 2368, 540, 596, 3893, 2427, 27424, 676, 5634, 4798, 543, 14406, 519, 1034, 1271, 3283, 563, 32575, 875, 10925, 5864, 10742, 519, 2565, 3206, 4441, 454, 268, 2368, 540, 596, 1705, 1134, 7114, 875, 10925, 5864, 779, 8574, 10742, 519, 4441, 563, 268, 1717, 267, 930, 540, 596, 941, 711, 4977, 2614, 543, 991, 930, 811, 23440, 609, 519, 4441, 543, 2259, 1210, 873, 563, 268, 589, 1906, 1004, 1767, 930, 540, 519, 6688, 3100, 547, 16937, 267, 865, 1577, 779, 723, 513, 4901, 827, 602, 630, 296, 3580, 2322, 873, 909, 593, 519, 4604, 1631, 1916, 2108, 12218, 538, 3013, 892, 676, 27068, 631, 1846, 3930, 689, 681, 699, 8172, 3013, 630, 277, 4792, 268, 7597, 278, 1916, 4131, 779, 13713, 2992, 593, 519, 1292, 2093, 538, 713, 2542, 267, 543, 875, 519, 2278, 2306, 1010, 4661, 563, 300, 1846, 3930, 13187, 602, 519, 2856, 602, 1362, 8635, 568, 711, 1271, 538, 3345, 1977, 2486, 568, 513, 7242, 630, 514, 519, 7787, 626, 2631, 267, 7242, 607, 513, 9114, 1916, 3891, 14439, 2185, 3029, 540, 602, 7242, 543, 27669, 873, 609, 8579, 2963, 563, 300, 1846, 3930, 779, 2565, 3206, 568, 1134, 11295, 563, 296, 269, 5590, 779, 909, 513, 20790, 630, 20130, 7242, 994, 5035, 21441, 616, 711, 4143, 547, 772, 2529, 269, 2486, 454, 307, 20635, 721, 646, 568, 2469, 547, 1397, 875, 922, 7301, 630, 6011, 649, 19451, 569, 3180, 513, 1305, 540, 4978, 602, 21372, 519, 4641, 540, 1362, 3604, 543, 741, 1764, 593, 1004, 779, 2729, 1916, 273, 269, 4934, 6050, 519, 2185, 3344, 540, 519, 7242, 543, 3029, 2055, 547, 1449, 873, 563, 3891, 4255, 873, 1996, 930, 1134, 7302, 4923, 630, 516, 10589, 264, 8579, 2963, 267, 3096, 930, 3879, 13577, 1806, 630, 292, 858, 601, 13486, 585, 5763, 3892, 267, 22808, 540, 29733, 267, 7585, 543, 22216, 2643, 264, 543, 2488, 513, 3126, 540, 14805, 725, 630, 515, 7125, 873, 2048, 516, 8017, 685, 476, 272, 268, 1015, 264, 602, 4831, 519, 14868, 563, 300, 2814, 513, 269, 1284, 616, 513, 1647, 1362, 4182, 563, 9223, 281, 3657, 972, 1713, 1362, 3604, 1851, 4892, 286, 1403, 891, 3604, 798, 2291, 267, 616, 789, 3478, 8273, 610, 4130, 888, 300, 2814, 536, 269, 4147, 3085, 1406, 2731, 2339, 538, 519, 2136, 2276, 563, 9223, 281, 1684, 1362, 3604, 723, 513, 1713, 1764, 593, 519, 1259, 649, 2661, 888, 300, 2814, 524, 269, 1284, 2661, 538, 513, 2244, 540, 16057, 10688, 563, 9223, 281, 1215, 1454, 16057, 10688, 568, 972, 538, 519, 2136, 2276, 888, 300, 2814, 546, 269, 15526, 814, 606, 3160, 4960, 547, 8011, 563, 9223, 281, 6496, 3025, 538, 519, 2136, 2276, 2731, 723, 606, 3160, 4316, 547, 8011, 543, 606, 3160, 5639, 538, 938, 9111, 888, 274, 269, 1230, 11079, 676, 19163, 602, 3345, 3013, 568, 3810, 6528, 3386, 538, 2474, 540, 1362, 543, 602, 519, 1977, 24041, 1062, 3322, 5571, 1362, 14226, 267, 538, 1899, 609, 7292, 543, 4008, 7130, 454, 763, 2376, 9727, 1434, 2565, 3206, 1519, 7744, 609, 2963, 267, 513, 9266, 2497, 1759, 593, 15819, 267, 14236, 267, 6988, 630, 10175, 3178, 543, 4560, 1070, 6111, 267, 23506, 543, 8856, 563, 763, 8056, 580, 7949, 779, 1977, 14134, 563, 21132, 942, 649, 2253, 547, 1589, 9691, 827, 519, 19366, 779, 968, 13563, 14134, 2223, 835, 4082, 540, 799, 568, 519, 5152, 594, 1616, 547, 2661, 538, 3013, 689, 519, 476, 3422, 271, 338, 7574, 267, 4639, 17121, 9452, 563, 293, 15929, 14868, 1586, 630, 272, 2567, 519, 1977, 14134, 585, 11082, 454, 1103, 1977, 13299, 267, 519, 772, 2529, 269, 568, 267, 607, 519, 3084, 1884, 1335, 12662, 621, 267, 968, 1492, 2244, 540, 519, 1863, 1315, 1656, 519, 1753, 540, 519, 12703, 28461, 2005, 779, 513, 2244, 538, 799, 538, 799, 782, 4961, 616, 2219, 540, 607, 1373, 3160, 543, 1863, 269, 1306, 7338, 16962, 5206, 454, 2171, 3180, 891, 18408, 547, 581, 1582, 17272, 1211, 281, 2334, 782, 2367, 616, 2813, 3160, 282, 602, 789, 616, 1439, 15735, 676, 741, 29763, 609, 1978, 796, 531, 1329, 762, 2924, 282, 602, 1851, 891, 616, 1272, 267, 15698, 267, 543, 519, 13287, 540, 8788, 269, 630, 5719, 743, 9653, 540, 14412, 267, 476, 10082, 277, 1916, 763, 1977, 5326, 568, 20206, 4327, 538, 519, 2856, 602, 1169, 1367, 1977, 1058, 723, 606, 3160, 1318, 1318, 547, 1831, 1200, 610, 1010, 1655, 1582, 269, 18299, 523, 779, 723, 519, 1318, 547, 2119, 547, 8275, 741, 13922, 563, 30399, 267, 513, 1883, 3693, 540, 519, 1977, 7242, 540, 513, 2244, 540, 4126, 543, 5191, 568, 519, 2856, 602, 3013, 5795, 10950, 547, 519, 1158, 779, 20404, 269, 1280, 1082, 30707, 267, 519, 2856, 540, 1977, 5191, 814, 1044, 513, 11275, 19788, 873, 547, 22109, 547, 519, 2136, 2276, 563, 6124, 3840, 779, 6465, 826, 540, 23068, 568, 513, 4583, 12835, 602, 6719, 10950, 547, 519, 476, 866, 628, 2540, 11082, 945, 2663, 2968, 1977, 4961, 563, 2690, 5481, 267, 3013, 814, 6039, 607, 513, 581, 13154, 540, 4126, 543, 5191, 585, 1346, 3544, 1200, 10665, 267, 543, 607, 513, 2244, 540, 3970, 1652, 4316, 585, 1346, 1981, 532, 3388, 547, 3343, 513, 1732, 1272, 269, 630, 308, 2529, 269, 6837, 2006, 1975, 27247, 645, 11030, 1916, 5278, 1131, 8044, 602, 519, 6837, 2006, 779, 1650, 540, 1977, 10950, 568, 513, 7242, 630, 514, 519, 7787, 626, 2631, 267, 1775, 4318, 1421, 922, 513, 9114, 1040, 4457, 1004, 1522, 723, 2219, 602, 267, 13840, 269, 1280, 1383, 267, 1175, 607, 3013, 729, 22205, 13999, 540, 3864, 20404, 538, 519, 476, 866, 628, 2540, 267, 621, 2966, 3800, 547, 23868, 4457, 20404, 267, 1519, 1034, 28020, 519, 4457, 1401, 2424, 2920, 630, 6642, 273, 1040, 1924, 519, 2856, 602, 782, 2367, 941, 2813, 3160, 4769, 1406, 1331, 4457, 1004, 630, 2863, 559, 476, 3707, 274, 1916, 9617, 607, 519, 6465, 826, 540, 23068, 568, 606, 12835, 540, 519, 7242, 540, 10950, 547, 519, 2244, 540, 519, 1863, 267, 5842, 2605, 753, 8646, 779, 19664, 6532, 11776, 7890, 568, 513, 3140, 3090, 540, 835, 540, 519, 10616, 538, 1977, 7862, 563, 1103, 2487, 1296, 267, 2797, 2911, 827, 20404, 814, 1500, 519, 1977, 14134, 585, 20404, 3100, 26704, 630, 514, 519, 7787, 2631, 267, 1775, 4318, 1421, 513, 9114, 1916, 21430, 1977, 4279, 11088, 281, 930, 22204, 540, 11686, 779, 2797, 11407, 454, 268, 968, 2691, 6792, 15920, 621, 1004, 267, 789, 2461, 711, 11488, 741, 1655, 269, 2560, 1358, 2461, 11488, 1004, 602, 723, 6266, 540, 2042, 267, 543, 789, 2461, 8744, 1346, 2042, 609, 721, 269, 1358, 2461, 8744, 5061, 269, 1358, 2461, 8744, 6760, 269, 1358, 2461, 22850, 1235, 269, 1656, 930, 267, 594, 8263, 267, 616, 1434, 1004, 892, 630, 23871, 2794, 267, 476, 1001, 277, 1916, 268, 11686, 1025, 1868, 3768, 29545, 630, 300, 1410, 4618, 264, 11082, 585, 968, 1492, 1977, 1920, 602, 19380, 741, 6009, 267, 741, 4747, 267, 610, 741, 6068, 835, 9731, 268, 2311, 678, 718, 625, 543, 538, 7641, 11042, 267, 11686, 9901, 602, 30781, 14900, 4354, 1408, 267, 519, 18518, 23899, 5313, 9794, 1095, 4575, 936, 519, 11686, 2160, 12611, 2013, 267, 729, 1651, 528, 3419, 4601, 21678, 1996, 1864, 1317, 968, 933, 2461, 2679, 513, 3774, 269, 1261, 779, 513, 11204, 3034, 268, 6969, 519, 9550, 646, 18796, 513, 968, 14814, 9505, 6658, 540, 12356, 10024, 519, 2136, 2276, 3034, 268, 11686, 10645, 547, 723, 2938, 5215, 540, 1004, 1750, 1359, 519, 476, 280, 270, 1556, 6285, 538, 7187, 1715, 14948, 267, 968, 3602, 596, 723, 1804, 6259, 5095, 7536, 268, 769, 476, 1001, 277, 267, 1310, 519, 2107, 1633, 334, 32003, 267, 11686, 7301, 569, 9901, 602, 968, 1492, 7332, 2146, 1281, 711, 1867, 892, 922, 17119, 1235, 269, 1261, 11943, 602, 12356, 1058, 581, 27052, 15217, 585, 971, 13685, 281, 968, 763, 12356, 616, 519, 3283, 602, 723, 547, 1867, 873, 269, 1656, 952, 789, 1810, 1406, 1867, 873, 267, 1287, 972, 723, 547, 581, 4539, 547, 873, 1848, 11686, 31439, 547, 4019, 713, 3609, 540, 7104, 5539, 547, 16543, 454, 268, 769, 476, 1001, 276, 267, 769, 476, 1001, 277, 267, 646, 19230, 602, 7332, 20404, 941, 1932, 5906, 1317, 2899, 789, 941, 4847, 883, 519, 2136, 2276, 267, 789, 1522, 18340, 569, 339, 1125, 585, 5771, 267, 543, 972, 729, 968, 7224, 1259, 892, 547, 968, 2181, 1203, 519, 2034, 5108, 689, 9097, 1944, 3034, 268, 11686 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2340, 507, 497, 811, 1480, 2924, 3584, 585, 1382, 1957, 563, 268, 17629, 16672, 540, 5274, 7126, 563, 268, 9966, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 655, 21442, 29576, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 11193, 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, 20134, 6611, 910, 10435, 2659, 3203, 7377, 2439, 5970, 596, 2479, 8068, 875, 930, 5961, 3100, 547, 7914, 1055, 519, 2985, 1247, 1866, 1205, 4503, 538, 519, 4282, 286, 4270, 267, 835, 5728, 547, 1818, 707, 11247, 1796, 856, 568, 1210, 1945, 1572, 2942, 2230, 256, 5213, 1405, 5855, 952, 596, 10093, 1405, 4862, 827, 621, 1354, 1107, 649, 2811, 1934, 547, 948, 596, 1174, 1018, 2942, 2230, 568, 543, 875, 5159, 946, 621, 547, 1711, 5863, 4773, 269, 1924, 1577, 781, 4685, 1318, 538, 2439, 5331, 5373, 513, 4605, 540, 707, 5172, 3662, 267, 899, 513, 20036, 21937, 610, 513, 18979, 17794, 269, 3767, 1589, 827, 782, 519, 1114, 2694, 540, 519, 5373, 1107, 519, 4064, 267, 9224, 267, 5023, 267, 9663, 267, 543, 865, 593, 269, 8409, 616, 2808, 2318, 5624, 1317, 789, 1106, 519, 1292, 1641, 540, 707, 11247, 269, 1809, 1018, 827, 3388, 3116, 1472, 707, 21937, 610, 17794, 286, 2334, 8900, 2230, 1063, 543, 1472, 873, 2965, 2337, 707, 3750, 1445, 593, 519, 1271, 11353, 256, 1656, 602, 267, 1250, 3659, 267, 568, 4010, 1018, 2942, 2230, 568, 782, 827, 780, 2080, 616, 1614, 1883, 1919, 547, 3314, 950, 2324, 609, 2942, 2230, 1384, 272, 269, 25037, 568, 6206, 281, 6056, 540, 2942, 2230, 607, 513, 7649, 547, 707, 1292, 1641, 630, 27168, 2230, 1040, 1358, 960, 1927, 547, 1711, 3666, 543, 10103, 269, 1879, 972, 781, 1932, 1454, 2469, 593, 538, 513, 4062, 267, 4946, 811, 2942, 2230, 786, 2285, 707, 4064, 513, 1747, 547, 1964, 267, 4543, 519, 2949, 3239, 1745, 1447, 804, 18636, 1229, 543, 811, 11791, 547, 1413, 693, 563, 273, 269, 898, 2052, 15681, 513, 9452, 281, 3807, 899, 1913, 593, 513, 2985, 267, 2942, 2230, 666, 948, 6655, 2495, 543, 7553, 538, 1148, 269, 5994, 5373, 1079, 1004, 6849, 1142, 824, 609, 6266, 540, 1930, 2230, 1063, 873, 269, 901, 1223, 2303, 20420, 610, 3845, 267, 1256, 1498, 4986, 729, 12799, 6537, 269, 15346, 267, 26001, 888, 274, 269, 6657, 24439, 17828, 281, 4635, 2942, 2230, 3217, 2259, 267, 855, 2899, 596, 1205, 519, 13793, 540, 621, 267, 596, 3513, 1294, 9283, 538, 707, 12400, 543, 10367, 269, 8347, 11423, 909, 513, 2898, 6656, 540, 1957, 609, 2241, 5546, 630, 3697, 10945, 267, 10580, 267, 610, 12730, 264, 6028, 7899, 540, 4055, 1063, 873, 269, 3973, 2681, 538, 1169, 2034, 3337, 267, 11287, 875, 519, 8900, 5624, 1860, 519, 1259, 596, 13498, 519, 11954, 3283, 780, 3086, 602, 596, 723, 513, 2596, 2856, 540, 1018, 2942, 2230, 568, 267, 1577, 781, 2638, 856, 930, 1483, 3734, 1806, 1384, 265, 634, 11599, 11197, 20446, 3096, 2942, 2230, 13085, 569, 269, 1403, 596, 2628, 2673, 3007, 267, 596, 3513, 5469, 972, 781, 606, 11945, 3337, 4646, 676, 519, 11116, 3144, 856, 540, 519, 4829, 6730, 519, 4478, 3043, 1858, 269, 3026, 520, 267, 3884, 1405, 621, 888, 265, 6875, 513, 32708, 693, 4583, 18048, 4460, 681, 1054, 14150, 781, 7493, 1568, 269, 1261, 4487, 2685, 26203, 1312, 2318, 543, 2942, 5624, 547, 18427, 2178, 3929, 6114, 689, 13588, 563, 265, 6733, 5702, 693, 13371, 1433, 12383, 269, 1411, 3513, 1265, 602, 20419, 1235, 1419, 946, 2942, 2230, 21176, 547, 5094, 8440, 543, 11168, 1978, 3527, 610, 7215, 780, 3383, 979, 6619, 543, 4603, 609, 2942, 2230, 538, 707, 1378, 1148, 3785, 256, 5457, 267, 972, 616, 1100, 7453, 3652, 1107, 1175, 4808, 547, 948, 3391, 707, 3860, 3460, 269, 5620, 1187, 3695, 1007, 2081, 547, 1118, 707, 960, 1796, 856, 543, 19542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 22913, 532, 1744, 582, 23531, 281, 589, 6651, 585, 11205, 3429, 19186, 636, 7353, 20802, 454, 26607, 3429, 10344, 568, 513, 7463, 9135, 602, 3340, 513, 16994, 1620, 540, 8929, 5888, 547, 7001, 519, 9759, 543, 5898, 540, 713, 4090, 748, 8317, 269, 634, 2702, 547, 7406, 15833, 3927, 666, 2981, 8723, 16806, 11147, 883, 9159, 2592, 602, 2995, 513, 1650, 269, 1280, 3236, 267, 2015, 519, 19858, 2013, 540, 513, 16806, 23031, 25461, 609, 13830, 606, 9205, 16008, 1996, 513, 18198, 23863, 20457, 269, 1635, 14139, 3741, 540, 8929, 5888, 267, 971, 607, 4341, 540, 555, 8674, 543, 3056, 3515, 267, 519, 23031, 666, 1711, 11617, 11495, 2592, 676, 17568, 5396, 21825, 1369, 519, 7406, 563, 4537, 582, 5888, 568, 711, 1175, 827, 2870, 8353, 24312, 24886, 11147, 282, 621, 849, 4249, 513, 2629, 1909, 538, 23187, 4664, 543, 6386, 998, 11052, 269, 5272, 8523, 814, 519, 1379, 547, 18427, 4606, 543, 5968, 2984, 267, 1818, 8929, 5888, 606, 1898, 1907, 585, 16806, 17581, 533, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 27078, 894, 6611, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 23531, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 2262, 5169, 21594, 256, 5620, 596, 2479, 9289, 1141, 1913, 2097, 689, 286, 2107, 875, 741, 10096, 723, 4957, 936, 942, 286, 1403, 865, 267, 1287, 713, 568, 519, 3501, 3296, 585, 596, 256, 1284, 786, 4685, 883, 519, 4241, 1158, 540, 552, 1399, 332, 3098, 543, 3605, 930, 3579, 2645, 602, 666, 948, 721, 10250, 519, 1686, 540, 1913, 780, 2414, 2253, 609, 267, 1577, 781, 1174, 1018, 649, 1611, 676, 834, 5320, 8129, 1701, 5994, 952, 2576, 4280, 596, 267, 834, 1432, 1281, 519, 2262, 1412, 8117, 614, 12187, 262, 1611, 8119, 1411, 1522, 2161, 602, 621, 4016, 547, 513, 4190, 5521, 609, 12209, 602, 1166, 2355, 1472, 5810, 269, 1809, 1705, 596, 917, 602, 519, 2262, 3294, 814, 513, 3638, 1686, 3297, 621, 286, 23897, 1343, 540, 1296, 3516, 267, 1004, 8068, 875, 17984, 8604, 547, 7544, 1472, 1175, 899, 519, 8389, 20321, 17371, 2813, 950, 669, 9506, 8645, 547, 1118, 7423, 269, 1924, 789, 3323, 10912, 891, 7068, 834, 8117, 614, 1922, 2391, 1919, 2437, 799, 5555, 3893, 27571, 547, 834, 8117, 614, 12187, 10590, 27355, 1405, 602, 4277, 2496, 3086, 4952, 4466, 856, 2147, 2984, 827, 1082, 824, 1913, 269, 2334, 781, 4010, 1018, 552, 1399, 332, 5505, 798, 910, 789, 1353, 519, 8129, 543, 1646, 540, 1913, 998, 942, 269, 1358, 1413, 693, 1114, 4654, 267, 4529, 267, 543, 3140, 5638, 547, 4062, 1927, 10881, 827, 1946, 1978, 1913, 2291, 543, 875, 789, 7960, 269, 1656, 835, 1898, 1907, 789, 946, 568, 1945, 1572, 513, 834, 5320, 5169, 8675, 257, 610, 834, 1214, 332, 1670, 8675, 3010, 288, 2262, 5169, 8675, 568, 3833, 2027, 1317, 621, 3085, 1405, 1152, 2995, 596, 519, 4214, 540, 513, 2262, 855, 849, 2488, 1344, 827, 922, 5072, 267, 875, 621, 814, 4957, 936, 5553, 267, 543, 3006, 1256, 1187, 5013, 827, 922, 6165, 2429, 1686, 269, 2913, 781, 1491, 606, 1383, 1210, 519, 2262, 834, 323, 5315, 1701, 901, 2165, 2501, 689, 5824, 834, 18743, 1470, 2437, 2495, 834, 338, 11691, 257, 610, 834, 14588, 3663, 2437, 5916, 609, 29038, 776, 2437, 3954, 7627, 834, 3712, 3005, 257, 610, 834, 32697, 5264, 1701, 26243, 267, 513, 8675, 568, 513, 4015, 540, 1913, 543, 741, 10096, 2439, 3383, 875, 666, 9358, 1376, 3695, 2262, 8129, 286, 1703, 616, 7899, 540, 2228, 2200, 2139, 2221, 267, 1519, 7270, 543, 8924, 2966, 4481, 585, 3214, 269, 2290, 2442, 4781, 568, 519, 6732, 661, 22029, 9218, 630, 10059, 2517, 4178, 269, 1214, 3000, 1467, 2593, 1040, 15439, 1826, 538, 1022, 2262, 267, 2046, 4283, 267, 543, 21350, 10042, 256, 1411, 3513, 1205, 513, 5763, 540, 1344, 827, 922, 2250, 269, 5457, 267, 1498, 267, 602, 891, 2959, 949, 2270, 4359, 6863, 267, 865, 1810, 1405, 19292, 547, 2307, 606, 2937, 585, 948, 952, 2877, 780, 5194, 1259, 547, 1451, 811, 827, 2262, 8129, 568, 676, 2542, 2835, 602, 1445, 593, 552, 1399, 332, 3098, 269, 1452, 1419, 1683, 2502, 6386, 4904, 609, 8049, 8941, 540, 3504, 12977, 267, 4583, 5515, 267, 543, 4948, 3615, 269, 2368, 5227, 10643, 1331, 834, 24552, 593, 28820, 566, 257, 676, 700, 11170, 773, 654, 1228, 543, 834, 763, 9452, 540, 2296, 538, 476, 1911, 9293, 257, 676, 6424, 32423, 780, 7661, 267, 1832, 707, 4064, 1930, 585, 4296, 1063, 1913, 543, 741, 12583, 538, 707, 3232, 1272, 269, 9320, 1247, 8384, 7641, 267, 596, 5873, 513, 1915, 2161, 834, 330, 3930, 330, 2437, 13288, 547, 513, 1507, 9205, 2497, 9513, 16152, 610, 10425, 269, 2060, 16012, 7279, 267, 596, 1223, 1413, 909, 922, 29721, 543, 1265, 856, 602, 621, 2501, 689, 15349, 834, 330, 7238, 26535, 330, 2437, 2495, 834, 335, 822, 559, 542, 1701, 1635, 3257, 865, 267, 596, 2811, 11836, 9118, 1866, 945, 723, 8329, 547, 938, 1620, 540, 1893, 4720, 780, 1103, 3932, 267, 4974, 2262, 8129, 2636, 721, 547, 5660, 519, 6946, 13795, 18955, 676, 1480, 2792, 2066, 6502, 543, 17407, 269, 1306, 596, 3136, 1565, 267, 3314, 602, 1169, 2262, 814, 513, 1650, 7996, 547, 581, 4362, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 3332, 540, 23316, 21256, 1996, 513, 4282, 540, 1312, 519, 3332, 540, 519, 2608, 5733, 528, 1695, 543, 519, 608, 1122, 564, 673, 3332, 540, 519, 6426, 799, 568, 11368, 538, 519, 13669, 31053, 338, 543, 538, 519, 11068, 337, 1662, 574, 269, 27915, 2476, 689, 873, 267, 621, 3357, 547, 13822, 606, 4830, 7936, 540, 3332, 267, 609, 922, 1378, 1642, 574, 14591, 540, 1641, 2339, 267, 922, 1378, 1062, 267, 543, 8360, 1108, 563, 2005, 568, 3622, 10924, 602, 922, 5250, 729, 6192, 676, 519, 4098, 540, 519, 20870, 2540, 595, 9950, 269, 693, 519, 5767, 269, 898, 568, 849, 4122, 4371, 602, 519, 1568, 540, 2608, 306, 320, 611, 11672, 12821, 517, 1107, 3397, 1258, 630, 292, 326, 1258, 1070, 519, 1101, 7160, 540, 799, 729, 2854, 538, 476, 3445, 273, 267, 543, 918, 583, 889, 620, 6441, 7676, 320, 1107, 616, 519, 1101, 1079, 2835, 540, 23316, 1697, 1107, 519, 5449, 7231, 609, 682, 13877, 2762, 543, 519, 8545, 609, 8239, 563, 763, 4589, 540, 519, 476, 1321, 628, 2540, 971, 607, 14062, 2608, 296, 16818, 26442, 571, 630, 5408, 585, 1383, 519, 1592, 540, 519, 834, 338, 3273, 1513, 540, 519, 1893, 257, 538, 519, 4367, 547, 1010, 20787, 333, 599, 574, 1070, 2808, 15223, 611, 11672, 12821, 517, 547, 581, 519, 1101, 6121, 332, 4115, 282, 865, 1932, 5640, 540, 519, 476, 866, 628, 630, 7945, 607, 645, 12329, 264, 543, 476, 736, 628, 1298, 584, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17504, 18882, 667, 17152, 257, 607, 851, 540, 834, 16300, 13493, 1315, 13129, 1315, 667, 17152, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 521, 732, 525, 563, 28606, 17067, 267, 789, 3893, 519, 8142, 543, 20004, 689, 519, 24625, 2510, 267, 799, 1287, 30630, 741, 8737, 2472, 269, 1809, 519, 24625, 2510, 25540, 1813, 547, 2883, 12150, 885, 1310, 519, 7127, 540, 14761, 543, 17531, 13062, 1846, 269, 1656, 676, 519, 4571, 476, 1960, 271, 338, 267, 519, 12511, 729, 3533, 4904, 676, 1647, 5443, 563, 306, 698, 17369, 718, 328, 8498, 543, 922, 476, 4335, 11317, 267, 10362, 547, 519, 13225, 592, 807, 630, 933, 11232, 264, 22634, 267, 1462, 1518, 519, 1966, 269, 5272, 649, 11232, 779, 1753, 568, 513, 1507, 8397, 1770, 269, 634, 4099, 12328, 540, 519, 1770, 568, 1572, 513, 544, 784, 320, 267, 799, 568, 2965, 513, 1688, 13402, 11308, 1688, 5979, 558, 563, 7021, 519, 1296, 267, 789, 723, 7283, 11112, 543, 669, 29354, 856, 1346, 476, 277, 3917, 1841, 630, 1240, 3952, 264, 540, 4898, 269, 1809, 2221, 1082, 544, 784, 553, 723, 1044, 7329, 548, 585, 3833, 930, 942, 563, 763, 18756, 3350, 267, 15748, 5631, 538, 645, 1173, 541, 327, 267, 476, 6795, 5998, 689, 590, 3711, 531, 20580, 267, 543, 12312, 788, 584, 676, 5075, 2456, 899, 918, 337, 583, 14390, 320, 21926, 776, 320, 267, 5191, 25142, 543, 18756, 19191, 267, 535, 11170, 1194, 856, 1256, 1310, 590, 3711, 531, 335, 19441, 645, 770, 1537, 11535, 31913, 5980, 630, 306, 289, 5425, 264, 540, 645, 1173, 541, 327, 1185, 7153, 607, 3127, 779, 7887, 649, 28316, 685, 18756, 609, 811, 982, 476, 1626, 267, 1822, 2818, 563, 763, 2107, 20811, 2229, 814, 3144, 513, 1906, 3268, 547, 2847, 633, 519, 4123, 267, 855, 789, 3100, 547, 581, 16283, 269, 700, 12991, 269, 715, 599, 752, 267, 8689, 267, 20955, 543, 1688, 5979, 558, 267, 1767, 267, 968, 763, 24625, 2510, 941, 6035, 835, 6066, 11175, 540, 741, 12029, 543, 930, 649, 28316, 723, 1044, 8036, 547, 2743, 1007, 7569, 3034, 3891, 849, 5018, 513, 2027, 10189, 540, 12652, 476, 2412, 5186, 516, 547, 9886, 12652, 476, 1839, 267, 1822, 547, 1142, 649, 11232, 585, 14335, 1010, 960, 8774, 563, 15152, 519, 2229, 10325, 267, 590, 289, 5425, 814, 3893, 513, 10211, 3649, 1853, 543, 930, 5092, 269, 898, 814, 1904, 539, 585, 29159, 547, 3251, 9800, 543, 12236, 513, 7443, 540, 12652, 269, 272, 269, 2764, 5186, 516, 538, 476, 1220, 279, 268, 6021, 269, 634, 3077, 568, 547, 2569, 922, 13829, 593, 519, 590, 3711, 531, 335, 19441, 521, 732, 324, 563, 2304, 590, 289, 5425, 4013, 267, 945, 15189, 547, 581, 4857, 267, 1767, 267, 968, 2171, 723, 4129, 1881, 547, 10571, 2326, 267, 7677, 5109, 267, 5127, 3382, 543, 28734, 547, 8597, 585, 519, 2115, 540, 5561, 2066, 519, 2197, 3034, 763, 5377, 1899, 267, 2705, 267, 568, 2312, 281, 634, 15063, 4640, 814, 4389, 1445, 593, 519, 590, 3711, 531, 335, 19441, 521, 732, 324, 267, 4352, 519, 3747, 568, 1869, 1164, 269, 0, 2005, 779, 4571, 4149, 324, 4697, 543, 1153, 568, 538, 2407, 18711, 269, 2659, 1453, 949, 581, 6126, 547, 581, 1394, 693, 1153, 267, 855, 707, 7314, 543, 5243, 949, 711, 581, 865, 4278, 2683, 563, 7312, 4620, 779, 1655, 3659, 267, 707, 1126, 267, 568, 1631, 8854, 585, 1034, 540, 519, 1554, 267, 543, 707, 2915, 3085, 1406, 723, 2576, 547, 1404, 609, 585, 3108, 693, 513, 942, 269, 2659, 3032, 610, 2915, 949, 723, 519, 1394, 3562, 17469, 21462, 607, 707, 4620, 4991, 1031, 547, 707, 543, 707, 1126, 779, 1114, 8430, 563, 288, 2915, 610, 3032, 3587, 14156, 7923, 547, 5411, 267, 543, 950, 741, 3339, 6296, 568, 22314, 267, 789, 949, 1831, 1253, 5962, 563, 11990, 595, 269, 19159, 267, 606, 3662, 2623, 626, 543, 7548, 540, 6530, 267, 1767, 281, 12882, 11366, 385, 497, 8512, 540, 602, 3929, 13613, 568, 513, 8965, 20772, 602, 519, 1079, 616, 2469, 547, 798, 1945, 22150, 269, 898, 5889, 23717, 338, 1271, 547, 519, 3032, 593, 513, 3232, 4493, 269, 1924, 596, 723, 513, 17522, 538, 3232, 6296, 950, 2576, 3762, 585, 1153, 267, 513, 17522, 538, 519, 3929, 3354, 519, 3032, 814, 267, 543, 602, 666, 1267, 538, 1312, 3929, 543, 8965, 4965, 269, 5889, 11366, 454, 3891, 3773, 602, 950, 7314, 616, 14156, 1253, 5962, 267, 789, 616, 1253, 571, 9853, 543, 13047, 1125, 811, 982, 8912, 563, 2080, 616, 930, 2081, 547, 1205, 707, 2915, 610, 3032, 856, 540, 519, 1394, 3562, 17469, 21462, 912, 268, 1280, 5243, 267, 6266, 540, 3635, 666, 948, 269, 634, 811, 2168, 3635, 267, 519, 811, 1439, 6973, 514, 5305, 267, 799, 666, 948, 10130, 1745, 6126, 563, 268, 1403, 596, 616, 20158, 267, 1287, 707, 4620, 786, 581, 20158, 269, 1403, 596, 616, 8909, 602, 707, 1126, 568, 1394, 538, 1153, 610, 1055, 547, 2852, 267, 707, 4620, 786, 2631, 707, 18354, 563, 268, 3629, 1945, 5432, 543, 6899, 585, 519, 4620, 676, 6028, 513, 4062, 540, 7802, 540, 519, 1268, 945, 814, 2451, 269, 634, 20416, 540, 513, 5172, 1268, 1472, 519, 2777, 949, 948, 707, 2915, 6001, 269, 1280, 7314, 267, 1832, 741, 6296, 519, 1482, 269, 16376, 543, 1404, 609, 7314, 693, 741, 3339, 942, 563, 268, 1677, 948, 707, 4620, 1205, 1031, 547, 1373, 676, 5128, 267, 4734, 519, 2777, 585, 5618, 5712, 693, 513, 942, 543, 7930, 561, 1263, 6533, 519, 2179, 540, 942, 1354, 596, 2132, 563, 268, 5901, 1434, 2421, 525, 543, 22946, 657, 2339, 6361, 1922, 716, 543, 2110, 267, 865, 602, 707, 2469, 2476, 1281, 711, 3100, 899, 513, 2462, 4308, 563, 268, 5620, 10130, 1685, 513, 4971, 267, 971, 607, 1694, 610, 21199, 267, 543, 2285, 873, 513, 1521, 1354, 596, 4734, 269, 0, 763, 9576, 5980, 585, 519, 10644, 540, 6452, 6342, 814, 15861, 4145, 936, 3106, 1739, 606, 7634, 676, 519, 10732, 1855, 25393, 799, 6811, 8654, 593, 930, 5179, 1811, 267, 17657, 9897, 543, 2749, 10754, 814, 1044, 5828, 1055, 610, 3897, 4364, 693, 3781, 538, 1931, 547, 4688, 2724, 543, 2759, 3327, 5434, 563, 2467, 616, 2804, 543, 2825, 4128, 1946, 930, 14540, 949, 6999, 547, 2569, 519, 2179, 540, 8654, 269, 1717, 972, 616, 3106, 4128, 1946, 8654, 2115, 547, 581, 2139, 563, 763, 4527, 540, 8654, 711, 1152, 6971, 519, 1981, 540, 6808, 10913, 855, 849, 741, 10335, 269, 24028, 903, 723, 1397, 602, 519, 1857, 616, 538, 12797, 540, 8265, 8654, 607, 513, 1259, 540, 5355, 4155, 3106, 543, 602, 267, 952, 4376, 267, 621, 2115, 547, 581, 4824, 538, 930, 2127, 563, 5415, 1283, 3377, 454, 763, 1390, 3766, 8681, 15948, 6361, 5498, 1597, 814, 6045, 1946, 1352, 4465, 1405, 13649, 689, 1200, 3728, 1426, 2816, 1310, 2185, 5756, 910, 5103, 519, 476, 276, 600, 6521, 6238, 563, 26422, 3333, 710, 3947, 1259, 547, 6531, 543, 29636, 454, 763, 27062, 17318, 18966, 267, 799, 1305, 909, 519, 4013, 3807, 294, 1516, 3135, 267, 1767, 621, 5433, 513, 834, 24175, 3386, 2179, 257, 1185, 1044, 6394, 269, 0, 4131, 4675, 11502, 917, 4010, 1018, 596, 1616, 547, 4444, 256, 5403, 11370, 3539, 8048, 338, 17676, 1631, 2336, 23763, 547, 1397, 707, 2754, 781, 2472, 286, 18224, 707, 15733, 17676, 1631, 2336, 309, 1790, 592, 2917, 568, 513, 2186, 540, 5102, 2917, 267, 849, 1572, 513, 1352, 1511, 610, 513, 14941, 267, 568, 513, 7271, 7768, 540, 513, 8868, 593, 606, 4949, 548, 610, 14788, 602, 949, 723, 513, 9240, 913, 1063, 1079, 1166, 5190, 1472, 922, 18592, 269, 589, 18052, 267, 10814, 267, 12966, 267, 610, 5832, 2356, 8255, 936, 519, 8868, 543, 3330, 519, 9240, 913, 267, 952, 1459, 269, 17240, 18436, 616, 1031, 547, 1689, 519, 4287, 540, 606, 4294, 3196, 267, 10141, 24364, 5163, 267, 610, 8275, 513, 7344, 5413, 538, 2901, 513, 5276, 610, 24364, 1062, 540, 5163, 269, 898, 568, 835, 540, 519, 3670, 2241, 6191, 269, 5565, 610, 811, 5102, 18436, 1927, 616, 1572, 513, 3625, 543, 10994, 269, 966, 1790, 592, 2917, 568, 1031, 538, 16669, 3156, 547, 5397, 519, 17960, 267, 971, 607, 513, 1216, 6802, 267, 11718, 267, 3124, 1807, 267, 1379, 23376, 267, 543, 2011, 8410, 1288, 518, 26468, 269, 966, 1532, 3881, 7329, 2401, 5102, 18436, 616, 3177, 609, 513, 3126, 540, 24293, 17923, 28937, 547, 2061, 22636, 3361, 676, 519, 12311, 3101, 2962, 540, 519, 12966, 269, 634, 5347, 543, 14463, 9240, 913, 2627, 8992, 3501, 9477, 543, 1202, 999, 9602, 267, 1279, 24331, 5106, 269, 27718, 539, 4070, 2488, 513, 6505, 267, 10694, 5920, 602, 14753, 540, 519, 1164, 2298, 540, 519, 3803, 1587, 269, 12411, 8684, 16004, 740, 9532, 666, 581, 12051, 2987, 560, 6817, 547, 7520, 20387, 269, 966, 1790, 592, 2917, 568, 513, 3818, 10775, 12966, 5397, 4171, 2027, 4070, 2636, 621, 547, 581, 1031, 609, 1360, 1507, 5102, 2917, 5603, 4394, 267, 4227, 6846, 543, 21513, 269, 898, 31758, 1082, 5397, 2042, 538, 513, 1297, 540, 3156, 971, 607, 6191, 2645, 267, 3574, 2324, 6191, 267, 543, 865, 593, 269, 0, 8002, 4934, 634, 9452, 2060, 1677, 903, 454, 1607, 2856, 568, 5078, 585, 9251, 1453, 543, 949, 723, 930, 2038, 17603, 563, 6524, 519, 3992, 596, 786, 991, 547, 1413, 1472, 519, 10732, 1153, 610, 707, 1753, 585, 1507, 3615, 543, 9162, 602, 666, 2099, 3197, 538, 519, 6426, 8574, 602, 596, 616, 2469, 547, 1865, 269, 7844, 2831, 543, 1507, 31119, 543, 5515, 786, 581, 3226, 3730, 269, 898, 1281, 711, 2339, 952, 519, 2831, 543, 5515, 2097, 689, 1114, 5036, 540, 9162, 610, 723, 1360, 1114, 10253, 547, 1142, 824, 269, 8479, 1453, 798, 711, 2356, 5469, 713, 269, 898, 568, 1271, 602, 519, 3615, 3112, 581, 3362, 7745, 269, 1879, 596, 723, 6394, 519, 1919, 602, 596, 786, 581, 1210, 267, 2322, 873, 538, 513, 1507, 9126, 610, 4216, 563, 2691, 596, 1376, 519, 3992, 267, 1224, 519, 8574, 689, 519, 6426, 547, 519, 1453, 269, 9105, 952, 789, 723, 1022, 2055, 827, 519, 8574, 269, 1879, 596, 616, 2386, 602, 789, 723, 6956, 519, 8574, 267, 1930, 519, 4216, 610, 9126, 543, 1397, 873, 519, 1919, 538, 621, 269, 9105, 952, 789, 917, 1018, 519, 2831, 610, 5515, 616, 269, 1879, 596, 723, 4857, 782, 540, 519, 1919, 609, 519, 1453, 267, 2307, 952, 789, 5431, 873, 689, 519, 8574, 596, 723, 1224, 269, 12315, 1142, 1126, 606, 1843, 543, 2307, 873, 547, 2491, 1018, 602, 1412, 30726, 262, 1705, 538, 519, 6426, 8574, 269, 1879, 1142, 1126, 814, 606, 1843, 267, 1577, 873, 1747, 519, 3615, 1927, 547, 957, 856, 519, 1650, 563, 2691, 519, 1453, 723, 8737, 9117, 856, 519, 1650, 267, 1224, 519, 8574, 689, 519, 6426, 835, 811, 942, 267, 10834, 1142, 1915, 610, 3662, 607, 621, 568, 5018, 269, 1403, 519, 1362, 568, 1507, 2614, 267, 596, 1223, 1577, 519, 1453, 957, 856, 519, 1650, 607, 596, 1224, 563, 2690, 1383, 267, 4952, 602, 596, 1616, 547, 2491, 519, 1650, 540, 634, 6153, 2701, 335, 731, 610, 1865, 25360, 332, 476, 2537, 630, 763, 7083, 1772, 3733, 2701, 335, 731, 1040, 3973, 596, 1131, 991, 513, 4015, 540, 11442, 13265, 543, 5515, 543, 930, 31966, 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 ]
[ 2387, 314, 314, 319, 547, 2824, 811, 982, 835, 3693, 780, 18606, 341, 314, 314, 273, 281, 274, 27663, 258, 285, 18438, 538, 642, 314, 314, 273, 281, 274, 316, 13912, 3801, 547, 2824, 811, 982, 835, 3693, 538, 6152, 19340, 32526, 2690, 3957, 10321, 267, 519, 2387, 314, 319, 11346, 5932, 513, 15410, 540, 519, 3312, 6152, 609, 519, 9138, 2609, 780, 18606, 341, 5332, 3139, 14277, 7666, 6072, 31116, 258, 285, 1368, 6072, 454, 258, 285, 672, 476, 273, 32526, 763, 2387, 314, 314, 319, 11346, 7024, 1152, 519, 13939, 3693, 780, 18606, 341, 5332, 3139, 314, 14277, 7666, 6072, 19312, 2639, 258, 285, 1496, 272, 316, 476, 273, 32526, 2026, 596, 3580, 1294, 538, 519, 700, 1235, 3296, 602, 519, 11984, 1063, 2387, 314, 319, 543, 2387, 314, 314, 319, 3587, 811, 1271, 609, 8638, 543, 512, 756, 7632, 780, 2162, 476, 273, 269, 272, 269, 274, 16792, 3252, 692, 309, 26662, 616, 3844, 547, 5752, 538, 681, 267, 543, 1082, 681, 3252, 616, 2966, 547, 960, 609, 10321, 780, 2791, 2907, 4718, 875, 547, 1289, 2387, 6943, 1993, 13237, 547, 2132, 519, 1826, 540, 513, 6152, 780, 18606, 6943, 1993, 17635, 994, 258, 285, 1496, 272, 316, 834, 29602, 257, 32526, 319, 8999, 13237, 18304, 513, 6152, 779, 2609, 780, 18606, 8999, 17635, 994, 258, 285, 1496, 272, 316, 476, 1321, 269, 278, 32526, 2791, 666, 946, 2387, 8999, 13237, 609, 1312, 25948, 630, 328, 4318, 1421, 5595, 543, 8870, 264, 10321, 267, 607, 1134, 607, 609, 9266, 10321, 780, 18606, 8421, 673, 26013, 524, 263, 15045, 16604, 267, 13138, 16604, 267, 674, 3201, 10345, 2020, 8999, 263, 8421, 673, 994, 258, 285, 1496, 272, 316, 476, 273, 32526, 2691, 4294, 547, 513, 9266, 6152, 267, 2387, 8999, 13237, 7024, 519, 1297, 540, 2387, 15045, 16604, 26141, 780, 319, 11743, 13237, 1568, 13974, 780, 18606, 11743, 17635, 994, 258, 285, 1496, 272, 316, 476, 274, 269, 1704, 692, 11743, 263, 8421, 673, 994, 258, 285, 1496, 272, 316, 476, 271, 269, 5780, 278, 32526, 763, 12476, 681, 4258, 520, 16847, 814, 930, 824, 2596, 5363, 3252, 267, 3226, 896, 519, 21070, 12793, 543, 4569, 12793, 6810, 780, 2162, 476, 273, 269, 272, 269, 275, 4119, 7757, 10321, 692, 13971, 7757, 10321, 616, 10570, 10321, 609, 3606, 27034, 269, 1703, 616, 2185, 1271, 21284, 10321, 1384, 1892, 2188, 2387, 283, 325, 551, 285, 12452, 799, 616, 1031, 547, 2099, 28547, 4632, 666, 1491, 835, 540, 513, 6378, 543, 1634, 1305, 540, 2009, 2418, 630, 21406, 519, 2157, 6393, 1892, 10288, 2188, 2387, 283, 867, 285, 12452, 799, 616, 899, 2188, 855, 1141, 519, 2157, 723, 606, 17271, 19280, 630, 328, 4318, 269, 1109, 527, 779, 10257, 547, 2161, 602, 835, 1377, 568, 968, 1652, 982, 892, 610, 968, 24030, 518, 982, 892, 1776, 1377, 6393, 1892, 7389, 2387, 283, 19049, 285, 12452, 2594, 513, 4266, 780, 1892, 4266, 2389, 1307, 2387, 283, 323, 1777, 332, 285, 12452, 799, 616, 849, 1634, 607, 623, 5308, 21197, 551, 267, 2594, 513, 4266, 543, 513, 942, 780, 2690, 1631, 267, 596, 1175, 991, 547, 5431, 891, 950, 596, 7237, 873, 269, 1411, 3580, 1451, 875, 547, 1711, 1142, 1826, 540, 21284, 6152, 2663, 538, 519, 1576, 780, 1012, 476, 273, 269, 273, 700, 1235, 692, 19284, 10570, 10321, 267, 799, 666, 1152, 2270, 513, 2582, 1826, 267, 8638, 666, 2270, 1022, 4015, 540, 681, 3615, 780, 2162, 476, 273, 269, 273, 269, 272, 17943, 692, 763, 1739, 2542, 786, 6338, 596, 547, 8638, 1384, 2162, 476, 273, 269, 273, 269, 273, 25065, 1084, 532, 692, 2791, 666, 24609, 513, 1592, 883, 606, 10570, 6152, 609, 2387, 684, 4289, 13237, 780, 18606, 344, 26013, 1592, 263, 272, 267, 476, 273, 267, 476, 275, 994, 344, 454, 258, 285, 20886, 272, 27663, 258, 285, 1496, 272, 316, 476, 272, 454, 258, 11417, 258, 285, 20886, 273, 27663, 258, 285, 1496, 272, 316, 476, 273, 454, 258, 11417, 258, 285, 20886, 274, 27663, 258, 285, 1496, 272, 316, 476, 275, 18606, 454, 18606, 684, 4289, 12169, 994, 258, 285, 1496, 272, 316, 476, 272, 476, 273, 476, 275, 32526, 319, 684, 4289, 13237, 7024, 606, 10570, 6152, 1256, 952, 519, 3312, 1592, 3568, 824, 8638, 610, 10321, 780, 18606, 345, 26013, 1592, 6262, 263, 272, 267, 476, 273, 1070, 524, 263, 274, 267, 476, 275, 4917, 345, 454, 258, 285, 20886, 272, 27663, 258, 285, 1496, 272, 316, 476, 272, 476, 273, 454, 258, 11417, 258, 285, 20886, 273, 27663, 258, 285, 1496, 272, 316, 476, 274, 476, 275, 18606, 454, 18606, 684, 4289, 18750, 994, 258, 285, 1496, 272, 316, 476, 272, 476, 273, 476, 274, 476, 275, 32526, 1012, 476, 273, 269, 274, 570, 756, 7632, 692, 307, 756, 7632, 616, 2965, 8638, 780, 18606, 6943, 1993, 263, 5404, 326, 994, 258, 285, 1496, 272, 316, 834, 4289, 257, 32526, 9336, 512, 756, 1076, 568, 513, 3957, 1592, 540, 10321, 267, 1142, 540, 519, 1482, 3259, 780, 4322, 10321, 1106, 519, 512, 756, 1076, 9587, 780, 12648, 519, 512, 756, 1076, 2387, 5404, 326, 27471, 18606, 5404, 326, 454, 258, 285, 1948, 589, 512, 756, 1076, 281, 476, 23056, 6398, 476, 1556, 454, 258, 285, 567, 10672, 2203, 8420, 476, 1032, 567, 8927, 1098, 8587, 1743, 341, 672, 524, 1399, 567, 554, 14567, 1166, 825, 1362, 454, 258, 285, 567, 2999, 577, 337, 285, 1038, 2999, 577, 337, 285, 2999, 323, 4565, 285, 2999, 842, 285, 2999, 842, 285, 2999, 577, 337, 285, 8587, 2999, 577, 337, 285, 2999, 842, 285, 2999, 842, 285, 2999, 577, 337, 285, 2999, 577, 337, 11417, 258, 285, 476, 272, 24384, 1363, 513, 275, 8587, 476, 272, 269, 279, 476, 476, 1960, 280, 672, 476, 275, 10081, 10857, 276, 264, 567, 535, 1038, 476, 1240, 825, 476, 3066, 533, 672, 735, 320, 7498, 258, 285, 476, 273, 24384, 1363, 513, 275, 8587, 476, 272, 269, 279, 476, 476, 1960, 280, 672, 476, 275, 8261, 9852, 276, 264, 535, 1038, 476, 2641, 825, 476, 3066, 533, 672, 735, 320, 7498, 258, 285, 476, 274, 24384, 1363, 513, 275, 8587, 476, 273, 825, 476, 1220, 279, 672, 476, 275, 8261, 9852, 277, 264, 535, 1038, 476, 736, 825, 476, 4029, 533, 672, 735, 320, 7498, 258, 285, 476, 275, 24384, 1363, 513, 275, 8587, 476, 273, 825, 476, 1220, 279, 672, 476, 275, 10081, 263, 822, 264, 567, 535, 1038, 476, 2641, 825, 476, 1789, 533, 672, 735, 320, 7498, 258, 285, 476, 276, 24384, 1363, 513, 275, 8587, 476, 273, 269, 279, 476, 476, 1960, 280, 672, 476, 277, 10081, 10857, 276, 264, 567, 535, 1038, 476, 1626, 825, 476, 2918, 533, 672, 735, 320, 7498, 258, 285, 476, 277, 24384, 1363, 513, 275, 8587, 476, 273, 269, 279, 476, 476, 1960, 280, 672, 476, 277, 8261, 9852, 276, 264, 535, 1038, 476, 1240, 825, 476, 2918, 533, 672, 735, 320, 7498, 258, 285, 1948, 2560, 609, 476, 25248, 811, 9343, 32526, 10376, 4756, 538, 2387, 5404, 326, 319, 630, 319, 2006, 3011, 25033, 12452, 2387, 16347, 12452, 2387, 4134, 680, 12452, 3092, 4700, 568, 513, 6152, 269, 2387, 2006, 3011, 25033, 319, 568, 513, 1915, 6152, 267, 2387, 4134, 680, 319, 568, 513, 5595, 6152, 267, 543, 865, 593, 269, 3962, 6152, 814, 3259, 476, 23056, 780, 2162, 476, 273, 269, 274, 269, 272, 20520, 692, 2467, 616, 1079, 2081, 547, 1711, 512, 756, 7632, 676, 1688, 269, 3689, 267, 596, 666, 946, 2387, 339, 756, 1076, 13237, 780, 18606, 3240, 4671, 756, 1076, 2999, 8894, 339, 756, 1076, 18692, 343, 815, 524, 263, 272, 267, 476, 280, 267, 476, 276, 13211, 344, 815, 524, 263, 15045, 16604, 267, 674, 3201, 10345, 267, 674, 3201, 10345, 13211, 345, 815, 524, 2891, 20625, 2580, 834, 701, 541, 2580, 834, 3316, 3570, 5602, 2020, 3240, 4671, 756, 1076, 454, 258, 285, 1948, 589, 512, 756, 1076, 281, 476, 274, 6398, 476, 274, 454, 258, 285, 11434, 1535, 586, 672, 1990, 454, 258, 285, 567, 2999, 323, 4565, 285, 2999, 331, 6921, 285, 2999, 577, 337, 11417, 258, 285, 476, 272, 672, 476, 272, 13138, 16604, 476, 11945, 454, 258, 285, 476, 273, 672, 476, 280, 674, 3201, 10345, 15090, 454, 258, 285, 476, 274, 672, 476, 276, 674, 3201, 10345, 19337, 32526, 319, 339, 756, 1076, 13237, 3217, 1367, 10321, 543, 7140, 873, 883, 513, 512, 756, 1076, 780, 13553, 267, 596, 666, 946, 2387, 339, 1026, 1076, 13237, 780, 18606, 3240, 4671, 756, 1076, 2999, 8894, 339, 1026, 1076, 18692, 349, 343, 267, 476, 9625, 344, 267, 825, 9625, 345, 2676, 272, 267, 476, 13138, 16604, 267, 476, 834, 20625, 20350, 280, 267, 476, 674, 3201, 10345, 267, 834, 701, 541, 20350, 276, 267, 476, 674, 3201, 10345, 267, 834, 3316, 3570, 4840, 2020, 3240, 4671, 756, 1076, 454, 258, 285, 1948, 589, 512, 756, 1076, 281, 476, 274, 6398, 476, 274, 454, 258, 285, 11434, 1535, 586, 672, 1990, 454, 258, 285, 567, 2999, 323, 4565, 285, 2999, 331, 6921, 285, 2999, 577, 337, 11417, 258, 285, 476, 272, 672, 476, 272, 13138, 16604, 476, 11945, 454, 258, 285, 476, 273, 672, 476, 280, 674, 3201, 10345, 15090, 454, 258, 285, 476, 274, 672, 476, 276, 674, 3201, 10345, 19337, 32526, 2690, 1507, 14449, 267, 2387, 339, 1026, 1076, 13237, 568, 2693, 547, 581, 1447, 5470, 12155, 267, 2094, 519, 2418, 585, 1142, 4737, 616, 1985, 547, 1142, 824, 780, 2162, 476, 273, 269, 274, 269, 273, 4427, 3553, 1154, 692, 2467, 616, 1896, 2081, 547, 1349, 4632, 856, 540, 512, 756, 7632, 269, 570, 756, 7632, 616, 8638, 267, 865, 2387, 314, 314, 319, 543, 2387, 15478, 319, 960, 780, 18606, 3240, 4671, 756, 1076, 314, 14277, 343, 19312, 2639, 258, 285, 1496, 272, 316, 476, 272, 476, 280, 476, 276, 692, 3240, 4671, 756, 1076, 15478, 343, 454, 258, 285, 1496, 272, 316, 476, 272, 476, 280, 476, 276, 32526, 8196, 2387, 335, 1638, 3890, 12452, 519, 546, 2952, 337, 6697, 267, 950, 596, 1616, 547, 946, 513, 10612, 780, 18606, 3240, 4671, 756, 1076, 4939, 285, 14999, 335, 1638, 3287, 994, 258, 285, 1496, 272, 316, 476, 272, 476, 280, 476, 276, 32526, 9616, 602, 2387, 335, 1638, 3890, 12452, 899, 2387, 314, 314, 319, 543, 2387, 15478, 12452, 7024, 1175, 519, 6152, 540, 2418, 585, 513, 2016, 4756, 780, 319, 314, 319, 849, 1568, 609, 512, 756, 7632, 780, 18606, 3240, 4671, 756, 1076, 14277, 343, 31116, 258, 285, 1948, 589, 512, 756, 1076, 281, 476, 274, 6398, 476, 272, 454, 258, 285, 11434, 1535, 454, 258, 285, 567, 2999, 323, 4565, 11417, 258, 285, 476, 272, 672, 476, 272, 454, 258, 285, 476, 273, 672, 476, 280, 454, 258, 285, 476, 274, 672, 476, 276, 32526, 2690, 513, 10612, 267, 946, 519, 546, 2952, 337, 1599, 2387, 572, 937, 13237, 780, 18606, 3240, 4671, 756, 1076, 4939, 285, 14999, 572, 937, 3287, 994, 258, 285, 1948, 589, 512, 756, 1076, 281, 476, 274, 6398, 476, 272, 454, 258, 285, 11434, 1535, 454, 258, 285, 567, 2999, 323, 4565, 11417, 258, 285, 476, 272, 672, 476, 272, 454, 258, 285, 476, 273, 672, 476, 280, 454, 258, 285, 476, 274, 672, 476, 276, 32526, 8489, 553, 2387, 335, 1638, 13237, 7024, 513, 6152, 267, 2387, 572, 937, 13237, 7024, 513, 512, 756, 1076, 780, 2162, 476, 273, 269, 274, 269, 274, 17435, 5014, 692, 19530, 532, 513, 512, 756, 1076, 6645, 596, 519, 6241, 4408, 543, 2949, 7516, 780, 18606, 5404, 326, 454, 258, 285, 1948, 589, 512, 756, 1076, 281, 476, 23056, 6398, 476, 1556, 454, 258, 285, 567, 10672, 2203, 8420, 476, 1032, 567, 8927, 1098, 8587, 1743, 341, 672, 524, 1399, 567, 554, 14567, 1166, 825, 1362, 454, 258, 285, 567, 2999, 577, 337, 285, 1038, 2999, 577, 337, 285, 2999, 323, 4565, 285, 2999, 842, 285, 2999, 842, 285, 2999, 577, 337, 285, 8587, 2999, 577, 337, 285, 2999, 842, 285, 2999, 842, 285, 2999, 577, 337, 285, 2999, 577, 337, 11417, 258, 285, 476, 272, 24384, 1363, 513, 275, 8587, 476, 272, 269, 279, 476, 476, 1960, 280, 672, 476, 275, 10081, 10857, 276, 264, 567, 535, 1038, 476, 1240, 825, 476, 3066, 533, 672, 735, 320, 7498, 258, 285, 476, 273, 24384, 1363, 513, 275, 8587, 476, 272, 269, 279, 476, 476, 1960 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2338, 476, 272, 268, 280, 543, 741, 3435, 1185, 18110, 3601, 780, 2252, 596, 1376, 25828, 5311, 593, 519, 1297, 476, 272, 267, 543, 2569, 519, 18304, 547, 2582, 7857, 2338, 267, 621, 5932, 513, 18110, 4806, 540, 9583, 4351, 270, 7224, 4806, 2582, 9704, 269, 1109, 901, 28197, 1169, 476, 2190, 3268, 540, 3257, 25828, 593, 519, 1297, 476, 272, 780, 296, 3323, 17316, 593, 1297, 476, 273, 3079, 540, 476, 272, 267, 543, 1705, 519, 1482, 3364, 267, 543, 1185, 519, 1482, 4611, 4806, 540, 9583, 4351, 2338, 602, 10956, 1169, 476, 2190, 3268, 540, 17316, 780, 10190, 267, 950, 594, 3323, 17316, 609, 519, 1297, 476, 274, 267, 594, 1336, 602, 519, 17316, 3435, 950, 4389, 547, 2582, 7857, 2338, 267, 7368, 1169, 476, 279, 628, 1900, 267, 711, 1169, 476, 2190, 628, 899, 2338, 476, 272, 543, 476, 273, 780, 3383, 267, 952, 596, 1376, 519, 25828, 5311, 609, 2338, 476, 272, 267, 476, 273, 267, 476, 275, 267, 476, 276, 267, 476, 278, 267, 610, 476, 279, 267, 519, 3435, 723, 513, 9583, 4351, 5569, 540, 2338, 602, 10956, 4010, 1169, 476, 2190, 628, 1900, 269, 1109, 10606, 476, 274, 543, 476, 277, 10956, 513, 9583, 4351, 5569, 540, 2338, 1169, 476, 279, 628, 1900, 269, 1109, 7089, 476, 280, 28197, 519, 3070, 540, 476, 280, 28222, 780, 763, 10396, 14877, 8390, 594, 1336, 538, 713, 568, 602, 519, 2034, 5569, 540, 3435, 267, 799, 568, 3268, 476, 1839, 268, 4366, 540, 25828, 267, 729, 602, 972, 729, 513, 2040, 540, 476, 273, 1141, 621, 1058, 723, 1044, 476, 272, 269, 1109, 4033, 982, 602, 267, 1100, 2339, 875, 2484, 596, 979, 3257, 25828, 543, 4227, 519, 3070, 547, 2582, 7857, 267, 621, 2141, 28197, 519, 3169, 1482, 5569, 540, 2338, 1169, 476, 2190, 628, 3268, 540, 17316, 780, 1607, 2164, 538, 513, 3349, 540, 2338, 602, 568, 11613, 6909, 538, 519, 1259, 621, 5932, 3347, 543, 3270, 780, 763, 18903, 12384, 568, 513, 2147, 1826, 540, 3349, 540, 2338, 602, 814, 2189, 3601, 780, 10190, 267, 972, 568, 519, 966, 14037, 12384, 269, 1109, 594, 4769, 1406, 1256, 917, 519, 966, 14037, 12384, 11478, 2394, 1250, 7015, 4951, 621, 547, 803, 1310, 7487, 1250, 1297, 3349, 269, 1109, 898, 568, 5393, 2147, 547, 519, 3349, 602, 594, 2813, 1210, 25828, 540, 4358, 2338, 476, 272, 268, 280, 543, 4227, 547, 2582, 7857, 3435, 269, 1703, 616, 930, 13581, 7648, 267, 855, 2949, 267, 1250, 3349, 814, 782, 891, 5863, 3601, 267, 711, 1152, 609, 519, 2582, 7857, 3435, 602, 1711, 519, 4890, 3349, 267, 855, 1256, 519, 3818, 18251, 3435, 1267, 538, 1360, 1271, 2338, 780, 296, 3323, 4730, 609, 519, 2338, 543, 711, 6005, 910, 585, 1383, 2094, 594, 993, 5461, 538, 5201, 543, 11275, 1143, 910, 602, 952, 596, 2322, 873, 883, 1945, 899, 14339, 514, 779, 3213, 559, 4806, 267, 789, 2965, 3100, 547, 960, 1732, 269, 1109, 1879, 594, 2322, 873, 883, 18700, 1106, 267, 789, 616, 4190, 269, 1109, 1879, 594, 2322, 873, 538, 513, 3349, 630, 28186, 1070, 596, 666, 1294, 519, 2338, 476, 274, 543, 476, 277, 1106, 513, 24775, 267, 609, 19427, 2798, 540, 519, 24775, 2141, 1373, 476, 280, 269, 1109, 1879, 596, 1413, 693, 519, 7470, 267, 543, 1039, 519, 2338, 3330, 519, 24775, 2048, 7901, 525, 8730, 789, 2141, 3160, 476, 274, 267, 476, 277, 267, 610, 476, 280, 269, 1109, 1879, 596, 2322, 621, 883, 513, 8731, 639, 3337, 267, 5612, 596, 1294, 519, 8701, 640, 602, 10237, 919, 856, 689, 519, 12673, 540, 476, 280, 269, 1109, 2353, 891, 21173, 1919, 596, 666, 1747, 519, 1297, 9696, 538, 540, 713, 3349, 616, 2247, 1532, 17344, 1782, 267, 543, 1454, 540, 621, 11341, 547, 3504, 1297, 1949, 607, 1134, 780, 296, 1185, 513, 7008, 2093, 594, 4941, 547, 2119, 547, 1294, 1018, 1131, 4755, 269, 1109, 3689, 267, 594, 4941, 547, 1294, 519, 2164, 540, 4358, 25828, 711, 1175, 676, 519, 1297, 476, 272, 267, 855, 540, 782, 2582, 18251, 2338, 281, 476, 272, 268, 280, 780, 10190, 267, 594, 4941, 782, 3818, 18251, 2338, 547, 581, 4389, 547, 2582, 7857, 2338, 780, 4131, 779, 1491, 519, 1101, 25828, 1297, 602, 18304, 547, 513, 3818, 18251, 1297, 281, 476, 1724, 269, 1109, 1677, 2569, 621, 547, 513, 2582, 7857, 1297, 596, 1175, 1039, 873, 1927, 2394, 519, 1267, 568, 513, 2582, 7857, 269, 1109, 476, 272, 266, 274, 815, 476, 275, 269, 1109, 1924, 267, 519, 2582, 7857, 5786, 540, 476, 1724, 568, 476, 275, 780, 3383, 267, 1018, 594, 1705, 568, 14458, 782, 25828, 3435, 547, 2582, 7857, 269, 1109, 898, 4422, 689, 519, 3818, 18251, 18304, 540, 25828, 5311, 547, 2582, 18251, 1384, 272, 476, 273, 476, 274, 476, 276, 476, 279, 476, 272, 266, 274, 476, 273, 266, 272, 476, 274, 266, 275, 476, 276, 266, 276, 3092, 267, 2164, 538, 1384, 272, 476, 272, 476, 273, 476, 274, 476, 276, 476, 279, 476, 275, 476, 274, 476, 278, 476, 272, 476, 279, 476, 280, 476, 279, 476, 279, 476, 278, 476, 277, 476, 275, 476, 272, 476, 276, 476, 277, 476, 273, 476, 279, 476, 272, 476, 280, 692, 5475, 519, 476, 2190, 628, 5311, 540, 25828, 267, 519, 3003, 9583, 4351, 1412, 338, 17532, 18251, 2338, 262, 10956, 269, 1109, 2201, 1250, 22369, 267, 952, 596, 1413, 693, 476, 1839, 910, 476, 4366, 267, 621, 1131, 10956, 9985, 519, 1482, 2338, 538, 519, 1482, 5311, 281, 476, 272, 476, 272, 476, 273, 476, 274, 476, 276, 476, 279, 476, 275, 476, 274, 476, 278, 476, 272, 476, 279, 476, 280, 476, 279, 476, 279, 476, 278, 476, 277, 476, 275, 476, 272, 476, 276, 476, 277, 476, 273, 476, 279, 476, 272, 476, 280, 269, 1109, 23893, 3364, 267, 2141, 269, 1109, 1403, 596, 6743, 693, 519, 5569, 540, 2582, 18251, 2338, 689, 476, 5392, 268, 4037, 267, 596, 1131, 1294, 519, 1297, 5569, 4010, 519, 1482, 780, 10190, 267, 594, 1031, 519, 1297, 476, 273, 547, 1376, 519, 25828, 5311, 267, 3079, 540, 476, 272, 269, 476, 1109, 296, 1336, 602, 1586, 910, 1498, 519, 2338, 941, 3006, 1114, 910, 519, 3003, 5569, 540, 2582, 7857, 2338, 998, 476, 2190, 9696, 267, 7368, 269, 1109, 1403, 596, 1413, 693, 28758, 476, 273, 267, 596, 1294, 621, 979, 281, 476, 273, 476, 273, 476, 275, 476, 277, 476, 272, 476, 278, 476, 279, 476, 277, 476, 276, 476, 273, 476, 278, 476, 280, 476, 278, 476, 278, 476, 276, 476, 274, 476, 279, 476, 273, 476, 272, 476, 274, 476, 275, 476, 278, 476, 273, 476, 280, 269, 1109, 1403, 596, 941, 547, 1413, 693, 519, 2582, 18251, 3435, 585, 1297, 476, 273, 950, 11173, 519, 25828, 5311, 2250, 476, 2190, 267, 596, 1131, 1294, 519, 3169, 5569, 540, 2338, 18110, 281, 1109, 476, 273, 476, 273, 476, 275, 476, 277, 476, 272, 476, 278, 476, 279, 476, 277, 476, 276, 476, 273, 476, 278, 476, 280, 476, 278, 476, 278, 476, 276, 476, 274, 476, 279, 476, 273, 476, 272, 476, 274, 476, 275, 476, 278, 476, 273, 476, 280, 692, 3086, 267, 1945, 5863, 602, 6402, 547, 476, 274, 476, 277, 476, 280, 780, 296, 1336, 713, 865, 10578, 267, 594, 4797, 543, 3323, 609, 519, 1297, 476, 274, 267, 543, 1336, 602, 519, 5569, 540, 2582, 18251, 2338, 910, 3314, 267, 789, 941, 8385, 3818, 18251, 267, 543, 594, 4389, 873, 547, 2582, 7857, 910, 4769, 1405, 10956, 693, 519, 476, 2190, 628, 17316, 5311, 267, 855, 519, 476, 279, 628, 2439, 16729, 28758, 476, 274, 543, 2469, 1524, 998, 519, 5311, 267, 596, 1294, 267, 476, 274, 476, 274, 476, 277, 476, 280, 476, 277, 476, 277, 476, 274, 476, 280, 476, 274, 476, 274, 476, 277, 476, 280, 476, 277, 476, 277, 476, 274, 476, 280, 476, 274, 476, 274, 476, 277, 476, 280, 476, 277, 476, 277, 476, 274, 476, 280, 269, 1109, 1677, 1294, 519, 4806, 267, 621, 4422, 281, 476, 274, 476, 274, 476, 277, 476, 280, 476, 277, 476, 277, 476, 274, 476, 280, 3396, 476, 274, 476, 274, 476, 277, 476, 280, 476, 277, 476, 277, 476, 274, 476, 280, 476, 1741, 476, 274, 476, 274, 476, 277, 476, 280, 476, 277, 476, 277, 476, 274, 476, 280, 269, 1109, 21624, 607, 1134, 267, 782, 2582, 7857, 3435, 616, 2901, 476, 274, 476, 277, 610, 476, 280, 269, 1109, 901, 568, 3020, 585, 1297, 476, 277, 607, 1134, 269, 1109, 7089, 476, 280, 28197, 3294, 552, 27238, 267, 1510, 1022, 8390, 780, 3383, 267, 547, 17412, 267, 950, 4358, 519, 25828, 5311, 1055, 609, 2338, 476, 272, 267, 476, 273, 267, 476, 275, 267, 476, 276, 267, 476, 278, 267, 476, 279, 267, 789, 782, 10956, 519, 1101, 5569, 540, 2338, 538, 11996, 540, 476, 2190, 269, 1109, 476, 274, 543, 476, 277, 10956, 741, 12673, 693, 519, 476, 279, 628, 5311, 269, 1109, 476, 280, 568, 12808, 543, 2760, 4657, 269, 1109, 901, 568, 1271, 267, 855, 602, 568, 2663, 780, 2080, 568, 519, 3349, 594, 2813, 609, 519, 3003, 15059, 780, 8794, 713, 3349, 267, 543, 1152, 519, 2582, 18251, 2338, 267, 594, 4941, 547, 1294, 1018, 4806, 729, 1373, 2813, 269, 1109, 1924, 267, 594, 2681, 27573, 1142, 1297, 547, 513, 1808, 2681, 267, 543, 6854, 519, 1482, 3169, 5311, 538, 519, 3349, 780, 22873, 6053, 267, 594, 1705, 711, 2681, 3009, 1142, 1297, 267, 865, 621, 729, 2352, 547, 1294, 519, 4806, 519, 2949, 2338, 1118, 269, 1109, 1306, 649, 666, 1294, 267, 519, 476, 274, 781, 543, 476, 277, 781, 1118, 909, 513, 7470, 267, 543, 519, 10167, 2127, 540, 519, 7470, 616, 1141, 476, 280, 568, 780, 2467, 814, 1044, 1100, 12879, 540, 713, 780, 2467, 616, 782, 12204, 540, 3270, 1336, 538, 713, 3349, 621, 568, 6909, 269, 1109, 898, 4667, 3768, 2056, 269, 1109, 594, 786, 3136, 713, 8142, 547, 1397, 930, 540, 873, 594, 723, 1336, 269, 1109, 769, 519, 29291, 267, 1934, 616, 930, 547, 2285, 606, 2856, 827, 782, 519, 2081, 713, 3349, 5348, 14369, 609, 824, 1919, 780, 2005, 3568, 4010, 476, 21327, 2338, 780, 301, 13246, 476, 272, 476, 273, 476, 275, 476, 276, 476, 278, 476, 279, 782, 10956, 741, 5311, 693, 519, 476, 2190, 628, 2040, 563, 263, 1607, 568, 849, 519, 1297, 519, 12266, 779, 1031, 547, 1711, 519, 5223, 779, 585, 519, 16685, 540, 9710, 639, 1107, 476, 272, 476, 273, 476, 275, 476, 279, 476, 278, 476, 276, 267, 799, 568, 1776, 3070, 950, 3190, 532, 609, 713, 4806, 267, 799, 594, 786, 979, 936, 693, 1776, 942, 6393, 301, 13246, 476, 274, 543, 476, 277, 10956, 741, 5311, 1169, 476, 279, 628, 2040, 780, 301, 13246, 476, 274, 543, 476, 277, 1118, 513, 24775, 1826, 5943, 609, 19427, 2798, 2141, 1373, 476, 280, 780, 10831, 476, 280, 28197, 28222, 780, 12640, 6866, 476, 280, 5526, 4805, 267, 2338, 476, 274, 543, 476, 277, 616, 593, 782, 476, 275, 5011, 780, 1103, 519, 476, 21327, 13642, 25351, 4120, 596, 666, 1294, 875, 519, 2338, 4611, 689, 25828, 540, 2338, 476, 274, 543, 476, 277, 267, 609, 3818, 18251, 18304, 4389, 547, 2582, 18251, 267, 789, 1106, 513, 24775, 899, 2497, 269, 1109, 2311, 1169, 10167, 540, 519, 3515, 476, 274, 543, 476, 277, 1118, 267, 519, 1297, 476, 280, 568, 1336, 269, 1109, 18738, 519, 24775, 267, 950, 596, 1039, 519, 2338, 543, 2569, 547, 2582, 18251, 267, 519, 2164, 616, 2141, 476, 274, 267, 476, 277, 610, 476, 280, 267, 4688, 585, 835, 1858, 2066, 519, 1283, 269, 1109, 634, 25739, 1106, 568, 1934, 267, 609, 519, 1297, 476, 274, 1373, 31947, 267, 476, 277, 1373, 8752, 31947, 267, 543, 476, 280, 1373, 14730, 9791, 780, 11900, 728, 519, 22092, 1182, 540, 476, 274, 476, 277, 476, 280, 267, 782, 2338, 630, 7424, 2901, 476, 272, 476, 273, 476, 275, 476, 276, 476, 278, 543, 5924, 476, 279, 264, 950, 3773, 1927, 1267, 538, 476, 274, 476, 277, 610, 476, 280, 267, 4849, 585, 519, 1283, 1899, 269, 1109, 1879, 2681, 8193, 519, 2164, 3257, 713, 267, 621, 814, 513, 966, 28475, 2178, 11696, 28917, 547, 519, 22225, 540, 634, 10326, 540, 5020, 267, 607, 1134, 607, 519, 30622, 539, 30346, 1513, 267, 543, 811 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 684, 6134, 3890, 1505, 538, 5124, 15932, 9074, 5897, 5897, 684, 6134, 3890, 568, 513, 1505, 9138, 538, 519, 4351, 5399, 538, 5124, 476, 274, 269, 567, 5897, 3086, 12997, 267, 538, 2489, 267, 1554, 6377, 4247, 267, 972, 779, 2141, 519, 991, 547, 5352, 1477, 12690, 2338, 538, 513, 2039, 269, 16453, 5752, 21437, 2154, 513, 1505, 811, 1477, 22474, 1175, 835, 2262, 547, 3035, 713, 1880, 4305, 269, 769, 9226, 267, 972, 779, 606, 1477, 514, 321, 16742, 1505, 267, 968, 2878, 684, 6134, 3890, 1262, 9232, 799, 15824, 713, 4305, 609, 8897, 543, 1210, 1477, 3286, 519, 835, 2262, 269, 901, 1505, 568, 3989, 538, 968, 2878, 12690, 1262, 9232, 9074, 5897, 285, 16522, 1314, 2433, 2878, 684, 6134, 17301, 1535, 267, 703, 586, 264, 1262, 1477, 285, 1477, 285, 476, 2878, 13640, 600, 4394, 2433, 1262, 567, 1477, 285, 476, 2878, 343, 1262, 10410, 5809, 519, 2539, 3970, 540, 519, 4351, 1297, 2838, 547, 5352, 269, 567, 1477, 285, 476, 2878, 344, 1262, 10410, 5809, 519, 5580, 3970, 540, 519, 4351, 1297, 2838, 547, 5352, 23228, 285, 1477, 285, 476, 2878, 14303, 5281, 2433, 1262, 16849, 519, 6383, 13735, 1448, 4351, 1297, 1063, 1477, 285, 2539, 3970, 543, 5580, 3970, 1477, 285, 1477, 285, 567, 1477, 285, 1477, 285, 1477, 285, 567, 1477, 285, 5897, 567, 1477, 1262, 24927, 1948, 272, 2433, 1262, 8943, 547, 5352, 10581, 4351, 1297, 269, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 3009, 547, 6542, 5897, 258, 519, 2324, 540, 7833, 31476, 476, 5897, 258, 585, 1210, 7833, 31476, 5814, 4351, 5897, 476, 5897, 258, 3355, 1944, 23451, 476, 5897, 320, 815, 476, 275, 5897, 321, 815, 476, 280, 5897, 476, 5897, 258, 8228, 519, 4351, 1297, 5897, 2745, 2891, 763, 4351, 1297, 6383, 1063, 476, 275, 543, 476, 280, 568, 2433, 14307, 1439, 1477, 284, 3269, 10142, 2745, 263, 12690, 26509, 6134, 5416, 267, 536, 4297, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 20479, 281, 5897, 24541, 672, 457, 1477, 825, 634, 4351, 1297, 6383, 1063, 476, 275, 543, 476, 280, 568, 2433, 476, 278, 269, 5392, 275, 280, 4029, 277, 1240, 279, 1789, 30329, 457, 1477, 672, 5897, 1262, 32101, 2433, 1262, 567, 1477, 2467, 616, 1082, 2009, 3156, 602, 666, 581, 2219, 540, 713, 1599, 267, 1477, 16341, 540, 519, 8037, 1373, 10451, 4351, 2338, 538, 25877, 3756, 267, 585, 1477, 14309, 6670, 610, 2688, 3756, 269, 567, 1477, 19350, 568, 519, 3014, 602, 4956, 519, 16771, 593, 519, 4493, 540, 804, 4923, 612, 547, 513, 1477, 322, 1643, 1871, 269, 5897, 567, 1477, 1262, 24927, 1948, 273, 2433, 1262, 13335, 540, 7833, 3890, 1107, 589, 10794, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 3009, 547, 6542, 5897, 258, 519, 3498, 540, 7833, 31476, 476, 5897, 258, 585, 1210, 7833, 31476, 5814, 4351, 267, 2979, 5897, 476, 5897, 258, 3355, 1944, 6345, 2338, 5897, 16651, 272, 815, 476, 275, 269, 2004, 5897, 16651, 273, 815, 476, 274, 269, 4281, 5897, 16651, 274, 815, 476, 277, 269, 7918, 5897, 476, 5897, 258, 10451, 16771, 4351, 1297, 5897, 7773, 1676, 815, 4351, 26509, 6134, 263, 273, 267, 476, 280, 10142, 476, 5897, 258, 4466, 14191, 476, 5897, 18528, 320, 815, 2979, 8807, 11274, 263, 7773, 1676, 910, 6345, 272, 10142, 18528, 321, 815, 2979, 8807, 11274, 263, 7773, 1676, 910, 6345, 273, 10142, 18528, 322, 815, 2979, 8807, 11274, 263, 7773, 1676, 910, 6345, 274, 10142, 476, 5897, 258, 8228, 16771, 5897, 604, 5560, 858, 320, 2999, 886, 321, 543, 886, 320, 2999, 886, 322, 2567, 5897, 1820, 2891, 763, 16771, 540, 3014, 568, 2433, 14307, 1439, 815, 3269, 10142, 1820, 2891, 32156, 272, 257, 10142, 476, 5897, 604, 5560, 858, 321, 2999, 886, 322, 543, 886, 321, 2999, 886, 320, 2567, 5897, 1820, 2891, 763, 16771, 540, 3014, 568, 2433, 14307, 1439, 815, 3269, 10142, 1820, 2891, 32156, 273, 257, 10142, 476, 5897, 604, 5560, 858, 322, 2999, 886, 321, 543, 886, 322, 2999, 886, 320, 2567, 5897, 1820, 2891, 763, 16771, 540, 3014, 568, 2433, 14307, 1439, 815, 3269, 10142, 1820, 2891, 32156, 274, 8442, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 20479, 281, 5897, 24541, 672, 457, 1477, 825, 634, 16771, 540, 3014, 568, 2433, 26761, 273, 457, 1477, 672, 5897, 16920, 1549, 2520, 2131, 256, 16237, 6533, 707, 13210, 609, 519, 2878, 23911, 14691, 1477, 28062, 566, 1262, 6092, 543, 1451, 519, 9238, 269, 5897, 2414, 2253, 609, 267, 707, 5967, 21339, 28389, 707, 4578, 23113, 1477, 935, 32383, 609, 519, 2878, 23911, 26712, 1262, 6092, 269, 5897, 7069, 9608, 11872, 9041, 5535, 5091, 1886, 318, 1575, 318, 5897, 24591, 5897, 0, 23911, 1923, 6744, 952, 513, 2016, 1843, 568, 1592, 610, 711, 5897, 5897, 11693, 606, 1843, 267, 519, 4305, 568, 547, 2638, 2436, 519, 1843, 568, 1592, 610, 711, 269, 5897, 2878, 19686, 1948, 272, 281, 4635, 9041, 529, 27349, 318, 1262, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 3009, 547, 6542, 5897, 258, 2638, 2436, 519, 1843, 476, 5897, 258, 568, 513, 1592, 610, 711, 5897, 476, 5897, 258, 3355, 5314, 1592, 5897, 7236, 8217, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 316, 5897, 7236, 8217, 273, 815, 1412, 11277, 3393, 262, 5897, 476, 5897, 258, 3009, 547, 2638, 2436, 5897, 258, 1843, 568, 513, 1592, 610, 711, 5897, 604, 568, 27349, 263, 7236, 8217, 272, 267, 1592, 2567, 5897, 1820, 2891, 20365, 1843, 568, 513, 1592, 8206, 257, 10142, 12828, 281, 5897, 1820, 2891, 20365, 1843, 568, 711, 513, 1592, 257, 10142, 476, 5897, 604, 568, 27349, 263, 7236, 8217, 273, 267, 1592, 2567, 5897, 1820, 2891, 20365, 1843, 568, 513, 1592, 257, 10142, 12828, 281, 5897, 1820, 2891, 20365, 1843, 568, 711, 513, 1592, 8442, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 672, 457, 1477, 825, 707, 1843, 568, 513, 1592, 8206, 457, 1477, 825, 707, 1843, 568, 711, 513, 1592, 457, 1477, 672, 5897, 567, 1477, 1262, 19686, 1948, 273, 281, 4635, 6943, 3287, 264, 1262, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 3009, 547, 6542, 5897, 258, 2638, 2436, 1843, 476, 5897, 258, 568, 513, 1592, 610, 711, 5897, 476, 5897, 258, 3355, 5314, 1592, 5897, 7236, 8217, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 316, 5897, 7236, 8217, 273, 815, 630, 1321, 267, 476, 2420, 267, 476, 3451, 10142, 476, 5897, 258, 3009, 547, 2638, 2436, 5897, 258, 1843, 568, 513, 1592, 610, 711, 5897, 604, 1826, 263, 7236, 8217, 272, 264, 568, 1592, 281, 5897, 1820, 2891, 20365, 1843, 568, 513, 1592, 257, 10142, 12828, 281, 5897, 1820, 2891, 20365, 1843, 568, 711, 513, 1592, 257, 10142, 476, 5897, 604, 1826, 263, 7236, 8217, 273, 264, 568, 1592, 281, 5897, 1820, 2891, 20365, 1843, 568, 513, 1592, 257, 10142, 12828, 281, 5897, 1820, 2891, 20365, 1843, 568, 711, 513, 1592, 8442, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 672, 457, 1477, 825, 707, 1843, 568, 513, 1592, 457, 1477, 825, 707, 1843, 568, 711, 513, 1592, 457, 1477, 672, 5897, 16920, 1549, 2520, 2131, 256, 16237, 6533, 707, 13210, 609, 519, 2878, 23911, 14691, 1477, 28062, 566, 1262, 6092, 543, 1451, 519, 9238, 269, 5897, 2414, 2253, 609, 267, 707, 5967, 21339, 28389, 707, 4578, 23113, 1477, 935, 32383, 609, 519, 2878, 23911, 26712, 1262, 6092, 269, 5897, 567, 1477, 567, 5897, 567, 5897, 7069, 9608, 11872, 9041, 5535, 5091, 1886, 318, 1575, 318, 5897, 24591, 5897, 0, 23911, 1982, 547, 2638, 952, 2016, 5569, 568, 533, 836, 1090, 5897, 5897, 11693, 513, 5569, 267, 2328, 513, 5124, 1982, 547, 2638, 952, 602, 5569, 568, 623, 836, 1090, 610, 1477, 2254, 269, 589, 533, 836, 1090, 568, 513, 4845, 5627, 1169, 4484, 538, 519, 2296, 22843, 269, 5897, 2878, 14300, 5093, 5897, 24541, 672, 457, 1477, 825, 2878, 19152, 2433, 1262, 634, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 457, 1477, 825, 2878, 20479, 2433, 1262, 8786, 457, 1477, 672, 457, 1477, 825, 2878, 19152, 2433, 1262, 705, 322, 3698, 326, 15383, 345, 457, 1477, 825, 2878, 20479, 2433, 1262, 3143, 457, 1477, 672, 5897, 2171, 723, 2907, 5941, 519, 14255, 633, 1935, 540, 533, 836, 1090, 10992, 538, 713, 1477, 14835, 269, 3767, 267, 1577, 779, 1865, 519, 5124, 545, 4485, 547, 798, 519, 1482, 269, 5897, 2878, 7343, 25209, 1948, 272, 2433, 1262, 5124, 545, 10878, 633, 567, 1477, 1607, 1505, 3096, 513, 8520, 547, 2638, 952, 1142, 1915, 540, 519, 5569, 12851, 547, 1477, 1492, 9904, 1305, 610, 711, 269, 5897, 567, 5897, 567, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 1982, 547, 5897, 258, 6744, 952, 519, 5569, 568, 533, 836, 1090, 5897, 5814, 5569, 5897, 476, 5897, 3698, 568, 335, 836, 1090, 19304, 2567, 5897, 9904, 815, 834, 29582, 3698, 724, 6359, 9383, 19282, 641, 336, 337, 560, 12320, 342, 15383, 345, 257, 5897, 585, 1347, 538, 9904, 281, 5897, 952, 1347, 711, 538, 1193, 31573, 263, 2567, 5897, 2132, 8771, 5897, 476, 5897, 2132, 6936, 5897, 476, 5897, 258, 30905, 3009, 5897, 11415, 815, 1412, 1492, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 262, 5897, 604, 263, 7371, 836, 1090, 30415, 264, 2652, 6936, 2567, 5897, 1820, 2891, 8133, 257, 10142, 12828, 281, 5897, 1820, 2891, 5591, 8442, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 672, 457, 1477, 825, 8786, 457, 1477, 672, 5897, 567, 1477, 1262, 7343, 25209, 1948, 273, 2433, 1262, 4635, 5124, 5590, 567, 1477, 3519, 3200, 519, 2016, 5569, 883, 1305, 543, 1287, 2638, 952, 519, 9904, 1305, 568, 1477, 24030, 518, 982, 610, 3160, 547, 621, 610, 711, 269, 1403, 519, 5569, 1305, 568, 3152, 610, 3160, 267, 1477, 2745, 2048, 8133, 685, 6382, 2048, 5591, 9957, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 1982, 547, 5897, 258, 6744, 952, 519, 5569, 568, 533, 836, 1090, 5897, 5814, 5569, 5897, 476, 5897, 531, 8224, 815, 1305, 30415, 269, 30913, 328, 318, 869, 27664, 10142, 476, 5897, 3698, 568, 335, 836, 1090, 30415, 2567, 5897, 2132, 1305, 30415, 31573, 28829, 13843, 9904, 5897, 476, 5897, 258, 30905, 3009, 5897, 11415, 815, 834, 763, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 257, 5897, 604, 263, 7371, 836, 1090, 30415, 264, 2652, 6936, 2567, 5897, 1820, 2891, 8133, 257, 10142, 12828, 281, 5897, 1820, 2891, 5591, 8442, 567, 1477, 567, 1477, 19203, 567, 1477, 567, 1477, 6449, 5897, 6449, 5897, 2878, 20479, 5093, 5897, 24541, 672, 457, 1477, 825, 8786, 457, 1477, 672, 5897, 567, 1477, 1262, 7343, 25209, 1948, 274, 2433, 1262, 20010, 547, 1305, 1505, 567, 1477, 1607, 568, 1776, 1505, 602, 3096, 5124, 1305, 547, 1265, 952, 519, 5569, 568, 623, 836, 1090, 1477, 528, 711, 269, 1284, 1118, 1305, 540, 27608, 26897, 543, 519, 2016, 5569, 269, 1403, 1305, 540, 1477, 326, 1508, 5569, 568, 10208, 539, 689, 519, 1305, 540, 26897, 267, 649, 1205, 547, 917, 2436, 1477, 1492, 5569, 568, 533, 836, 1090, 610, 711, 269, 5897, 6449, 5897, 6449, 567, 1477, 6449, 5897, 6449, 5897, 6449, 567, 1477, 6449, 567, 1477, 6449, 5897, 258, 5124, 274, 1982, 547, 5897, 258, 6744, 952, 519, 5569, 568, 533, 836, 1090, 5897, 5814, 5569, 5897, 476, 5897, 531, 8224, 815, 1305, 30415, 269, 30913, 328, 318, 869, 27664, 10142, 476, 5897, 3698, 568, 335, 836, 1090, 19304, 2567, 5897, 2132, 711, 1305, 263, 531, 8224, 264, 910, 1305, 19304, 10142, 476, 5897, 258, 30905, 3009, 5897, 11415, 815, 1412, 1492, 2656, 6960, 16541, 26357, 936, 519, 27823, 2915, 262, 5897, 604, 263, 7371, 836, 1090, 30415, 264, 2652, 6936, 2567, 5897, 1820, 2891, 8133 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 1948, 9337, 676, 9587, 454, 1038, 585, 795, 538, 2039, 3799, 2187, 2018, 678, 267, 530, 815, 544, 268, 272, 267, 544, 268, 272, 1948, 1224, 267, 2328, 454, 2018, 1247, 678, 13843, 476, 271, 912, 3546, 952, 7436, 272, 314, 337, 6012, 329, 316, 2652, 476, 271, 543, 7436, 273, 314, 337, 6012, 329, 316, 2652, 476, 271, 912, 7386, 4604, 314, 342, 6012, 329, 316, 815, 4604, 314, 337, 6012, 329, 2639, 7386, 530, 20699, 476, 272, 454, 3546, 678, 20699, 476, 272, 454, 2018, 1247, 530, 13843, 476, 271, 912, 3546, 4604, 314, 342, 6012, 329, 316, 815, 476, 271, 454, 3546, 530, 20699, 476, 272, 454, 1038, 1948, 1820, 29033, 264, 0, 5814, 27368, 454, 5814, 6345, 12218, 454, 5814, 2619, 31262, 454, 5814, 20599, 12218, 454, 5814, 4351, 454, 5814, 2575, 454, 5814, 2680, 293, 17313, 692, 12163, 19702, 1963, 912, 22018, 815, 547, 1205, 14604, 676, 942, 2250, 454, 10852, 815, 536, 944, 547, 1711, 3014, 8520, 454, 5443, 340, 815, 536, 944, 547, 1711, 10624, 8520, 454, 325, 1186, 815, 547, 1205, 14604, 1315, 2034, 609, 519, 9219, 454, 339, 2830, 815, 4756, 547, 1847, 519, 1257, 538, 27487, 454, 5503, 815, 942, 15068, 454, 8234, 815, 703, 910, 19651, 1072, 538, 4939, 454, 9557, 815, 703, 910, 1018, 568, 513, 3014, 899, 713, 1510, 513, 1448, 1062, 454, 16557, 4671, 762, 815, 547, 1711, 513, 1592, 540, 8464, 454, 12163, 6853, 18524, 269, 8181, 4590, 1038, 1948, 312, 268, 736, 586, 476, 30019, 454, 1038, 1948, 343, 910, 3953, 1535, 476, 278, 2412, 454, 5443, 340, 815, 6936, 454, 10852, 815, 8771, 454, 18524, 318, 517, 815, 8771, 454, 331, 739, 815, 8771, 454, 18524, 318, 30720, 15481, 311, 815, 476, 278, 4817, 454, 18524, 318, 30720, 15481, 312, 815, 476, 7785, 454, 325, 1186, 815, 476, 2568, 454, 22018, 815, 27368, 28333, 269, 5141, 1442, 4590, 339, 2830, 815, 476, 271, 454, 332, 913, 312, 815, 476, 13136, 454, 332, 913, 311, 815, 476, 2004, 454, 5503, 815, 476, 271, 454, 8234, 815, 476, 1911, 454, 9557, 815, 476, 271, 692, 12163, 8620, 519, 27368, 4159, 454, 12163, 18524, 16062, 5454, 815, 27368, 269, 5891, 15630, 8548, 1712, 8443, 18524, 318, 30720, 15481, 311, 267, 3014, 318, 30720, 15481, 312, 7481, 18524, 318, 3724, 3033, 815, 27368, 269, 13548, 269, 2903, 3488, 32220, 326, 30502, 11486, 752, 326, 745, 526, 8967, 601, 26666, 5073, 18524, 318, 7901, 815, 3014, 16062, 5454, 10947, 318, 5550, 10797, 18851, 3097, 29228, 6885, 3615, 519, 6148, 711, 865, 6654, 4632, 6045, 692, 332, 913, 312, 815, 1031, 547, 2638, 7158, 540, 13855, 543, 6345, 454, 332, 913, 311, 815, 910, 257, 8894, 16557, 4671, 762, 815, 1843, 609, 8464, 454, 325, 5766, 815, 1843, 540, 513, 13855, 454, 325, 5766, 338, 815, 2322, 873, 883, 27368, 838, 27866, 1895, 454, 16651, 815, 5932, 513, 6345, 689, 519, 26761, 12218, 25341, 1362, 26761, 454, 20701, 325, 5766, 815, 20599, 12218, 12171, 5766, 9852, 913, 311, 266, 10384, 267, 12690, 27110, 263, 2412, 267, 4335, 4917, 325, 5766, 338, 815, 27368, 4732, 335, 1679, 14371, 4981, 4590, 325, 5766, 338, 14491, 6600, 5766, 2020, 325, 5766, 318, 13548, 815, 2619, 31262, 10947, 318, 13548, 24786, 3488, 32220, 332, 30502, 270, 5073, 6570, 815, 630, 332, 913, 311, 31599, 913, 312, 994, 16651, 318, 30502, 815, 2619, 31262, 10947, 318, 13548, 24786, 3488, 32220, 335, 30502, 270, 5073, 16651, 815, 6345, 12218, 269, 32156, 263, 6570, 284, 6570, 267, 2592, 284, 16651, 318, 30502, 2020, 16651, 318, 534, 1493, 815, 27368, 4732, 335, 1679, 14371, 4981, 263, 16651, 994, 16651, 318, 534, 1493, 14491, 263, 16651, 2020, 3698, 3824, 877, 318, 5271, 757, 263, 5503, 267, 20883, 267, 4503, 267, 3014, 318, 517, 267, 10624, 2187, 825, 8173, 825, 901, 1599, 1491, 1416, 540, 519, 3824, 877, 27196, 269, 630, 2621, 994, 825, 8173, 825, 2518, 1292, 454, 825, 2518, 1072, 454, 825, 2518, 23249, 29390, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 8173, 1038, 901, 786, 1118, 596, 2111, 547, 1847, 519, 10760, 6477, 454, 1038, 8173, 1038, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 912, 2018, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 610, 2680, 269, 4486, 2652, 3921, 3488, 323, 262, 2187, 3546, 6345, 269, 767, 6290, 11859, 815, 476, 1321, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 610, 2680, 269, 4486, 2652, 3921, 3488, 320, 262, 2187, 3546, 6345, 269, 767, 6290, 11859, 815, 910, 1321, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 610, 2680, 269, 4486, 2652, 3921, 3488, 338, 262, 2187, 3546, 6345, 269, 767, 6290, 13885, 815, 476, 1321, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 610, 2680, 269, 4486, 2652, 3921, 3488, 342, 262, 2187, 3546, 6345, 269, 767, 6290, 13885, 815, 910, 736, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 318, 2464, 290, 4338, 292, 912, 3546, 10624, 815, 6936, 454, 3546, 3014, 318, 517, 815, 8771, 454, 3546, 942, 815, 476, 271, 454, 3546, 1072, 815, 476, 1911, 454, 3546, 585, 10546, 538, 20883, 912, 7386, 20883, 31927, 263, 523, 5519, 994, 3546, 2575, 269, 5443, 340, 8548, 639, 545, 4590, 3546, 4503, 815, 8771, 454, 3546, 1292, 815, 8771, 454, 3546, 10624, 815, 6936, 454, 25639, 1948, 2132, 1292, 454, 1038, 8640, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 16810, 912, 2018, 952, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 610, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 610, 2680, 269, 4486, 2652, 3921, 3488, 323, 10807, 610, 2680, 269, 4486, 2652, 3921, 3488, 320, 262, 2187, 3546, 6345, 269, 767, 6290, 11859, 815, 476, 271, 454, 2018, 8640, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 610, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 610, 2680, 269, 4486, 2652, 3921, 3488, 342, 10807, 610, 2680, 269, 4486, 2652, 3921, 3488, 338, 262, 2187, 3546, 6345, 269, 767, 6290, 13885, 815, 476, 271, 692, 3698, 10624, 318, 5271, 757, 14116, 877, 318, 517, 267, 10624, 2187, 825, 8173, 825, 901, 1599, 1491, 1416, 540, 519, 10624, 27196, 269, 630, 2621, 994, 825, 8173, 825, 2518, 23249, 29390, 825, 2518, 1292, 454, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 912, 2018, 952, 2680, 269, 4486, 2652, 3921, 3488, 272, 262, 2187, 3546, 585, 10546, 538, 20883, 912, 7386, 20883, 31927, 263, 523, 5519, 994, 3546, 1292, 815, 6936, 454, 3546, 3014, 318, 517, 815, 6936, 454, 3546, 2575, 3052, 877, 8548, 639, 545, 4590, 3546, 1205, 14682, 877, 24417, 7342, 263, 5503, 2073, 2798, 2020, 2018, 8640, 2680, 269, 4486, 2652, 3921, 3488, 273, 262, 2187, 3546, 23249, 318, 815, 6936, 454, 3546, 10624, 815, 8771, 454, 3546, 1205, 318, 16769, 263, 271, 267, 271, 267, 10852, 267, 18524, 318, 517, 994, 2018, 8640, 2680, 269, 4486, 2652, 3921, 3488, 274, 262, 2187, 3546, 10624, 815, 8771, 454, 3546, 27368, 269, 5891, 269, 10181, 10797, 3698, 2638, 20189, 527, 7901, 10031, 825, 2518, 1072, 454, 825, 8173, 825, 1280, 1142, 20599, 13855, 538, 13855, 2073, 713, 8520, 786, 834, 2745, 4840, 825, 856, 1169, 13855, 538, 519, 1895, 269, 1656, 1369, 519, 8520, 621, 786, 454, 825, 2638, 952, 6345, 16125, 676, 1210, 519, 20599, 12218, 1599, 536, 944, 454, 825, 8173, 825, 585, 13855, 538, 20883, 912, 1038, 13855, 20481, 6958, 5766, 14116, 877, 16062, 5454, 994, 1038, 13855, 6230, 913, 318, 9767, 6958, 944, 263, 12690, 27110, 263, 275, 267, 736, 4917, 1038, 952, 13855, 12500, 944, 9852, 913, 311, 31599, 913, 312, 267, 325, 5766, 11859, 267, 13855, 13885, 264, 2652, 6936, 912, 2018, 3014, 16062, 5454, 8807, 650, 9230, 12690, 27110, 263, 272, 267, 22724, 1070, 12690, 27110, 263, 272, 267, 22724, 1070, 12690, 27110, 263, 272, 267, 22724, 21875, 2018, 1072, 20699, 476, 273, 454, 2018, 27368, 6230, 1460, 518, 6230, 639, 545, 269, 2903, 3488, 32220, 18524, 24523, 270, 3240, 21841, 29228, 306, 784, 9884, 822, 5073, 2018, 27368, 6230, 1460, 518, 6230, 639, 545, 269, 2452, 30800, 3698, 1205, 6958, 5766, 338, 6958, 2391, 263, 5503, 2567, 14030, 14030, 14030, 14030, 672, 3097, 825, 8173, 825, 901, 1599, 786, 2638, 952, 519, 942, 568, 1063, 1978, 544, 572, 6948, 454, 825, 543, 952, 519, 2783, 568, 1318, 14763, 786, 12446, 563, 825, 5221, 540, 519, 942, 1775, 3403, 1934, 267, 621, 6157, 786, 2097, 856, 454, 825, 4351, 2179, 540, 14763, 1169, 942, 907, 865, 581, 6297, 331, 856, 972, 3097, 825, 8173, 825, 952, 942, 13843, 476, 273, 543, 942, 10922, 273, 269, 272, 912, 1038, 20883, 14491, 263, 3000, 3122, 12218, 12171, 5766, 9852, 913, 311, 266, 7785, 267, 12690, 27110, 263, 1015, 267, 4968, 21875, 825, 8640, 942, 13843, 476, 273, 269, 275, 543, 942, 10922, 273, 269, 276, 912, 1038, 20883, 14491, 263, 3000, 3122, 12218, 12171, 5766, 9852, 913, 311, 266, 7785, 267, 12690, 27110, 263, 12573, 267, 20862, 21875, 825, 8640, 942, 13843, 476, 274, 269, 272, 543, 942, 10922, 476, 274, 269, 1428, 912, 1038, 20883, 14491, 263, 3000, 3122, 12218, 12171, 5766, 9852, 913, 311, 266, 20981, 267, 12690, 27110, 263, 17168, 267, 22213, 21875, 825, 8640, 942, 13843, 476, 280, 543, 942, 10922, 476, 280, 269, 4962, 912, 1038, 20883, 14491, 263, 3000, 3122, 12218, 12171, 5766, 9852, 913, 311, 266, 7785, 267, 12690, 27110, 263, 271, 267, 7785, 21875, 825, 8640, 942, 13843, 1556, 543, 942, 10922, 476, 1556, 269, 4962, 912, 1038, 20883, 14491, 263, 3000, 3122, 12218, 12171, 5766, 9852, 913, 311, 266, 7785, 267, 12690, 27110, 263, 271, 267, 20862, 21875, 825, 8640, 942, 13843, 1724, 543, 942, 10922, 476, 1724, 269, 4962, 912, 1038, 20883, 14491, 263, 3000, 3122, 12218, 12171, 5766, 9852, 913, 311, 266, 7785, 267, 12690, 27110, 263, 271, 267, 20862, 21875, 825, 8640, 942, 13843, 1428, 543, 942, 10922, 476, 1428, 269, 272, 912, 1038, 20883, 14491, 263, 3000, 3122, 12218, 12171, 5766, 9852, 913, 311, 266, 7785, 267, 12690, 27110, 263, 1911, 267, 4335, 4297, 2020, 3698, 1257, 318, 8971, 9852, 20687, 267, 1257, 293, 2632, 267, 1257, 23917, 267, 1257, 21760, 2187, 825, 8173, 825, 901, 1599, 568, 585, 2653, 8380, 5931, 543, 2285, 454, 825, 873, 23935, 2073, 2450, 543, 2681, 630, 1336, 713, 10992, 856, 1866, 3009, 267, 1775, 17329, 519, 2856, 994, 825, 8173, 825, 1007, 293, 2632, 284, 6853, 18524, 8807, 2632, 2529, 903, 293, 2632, 29495, 293, 2632, 267, 1257, 23917, 994, 825, 1007, 17806, 284, 2908, 293, 2632, 18622, 837, 9852, 20687, 267, 476, 271, 267, 1257, 21760, 994, 3097, 825, 2132, 1007, 17806, 692, 3698, 1205, 14682, 877, 24417, 7342, 263, 5503, 2073, 2798, 2187, 825, 8173, 825, 901, 1599, 786, 1491, 1416, 540, 519, 3014, 1247, 621, 568, 4881, 563, 825, 30352, 912, 1038, 1292, 815, 536, 944, 454, 1038, 942, 815, 10581, 454, 1038, 1072, 815, 703, 454, 1038, 2798, 815, 703, 454, 825, 8173, 3097, 825, 2518, 1847, 312, 454, 825, 2518, 1847, 311, 454, 825, 2518, 4503, 454, 825, 2518, 3014, 318, 517, 454, 825, 2518, 1072, 454, 825, 2518, 10624, 454, 825, 2518, 1292, 7531, 825, 1948, 952, 1292, 2652, 6936, 543, 10624, 2652, 8771, 912, 825, 1948, 672, 27368, 6230, 1460, 518, 6230, 639, 545, 269, 2903, 3488, 32220, 18524, 24523, 270, 3240, 21841, 29228, 306, 784, 9884, 822, 5073, 825, 1948, 672, 27368, 6230, 1460, 518, 6230, 639, 545, 269, 2452, 4590, 825, 1247, 1292, 912, 1038, 8173, 1038, 901, 568, 519, 3014, 8520, 3097, 1038, 12989, 568, 1141, 519, 2962, 4523, 454, 1038, 594, 723, 930, 5931, 2451, 29499, 856, 2073, 1775, 946, 873, 547, 1294, 6753, 454, 1038, 543, 1294, 952, 789, 616, 2953, 563, 1038, 8173, 1038, 1948, 2549, 870, 540, 7643, 1063, 1142, 8520, 563, 1038, 942, 6958, 1186, 815, 9219, 6745, 1157, 6600, 1186, 264, 1315, 476, 1911, 271, 454, 1038, 2798, 6834, 703, 263, 5503, 2020, 1038, 6345, 318, 9557, 815, 1257, 318, 8971, 6600, 262, 32622, 281, 2715, 9557, 348, 3299, 834, 572, 2998, 525, 5296, 2580, 476, 1789, 267, 630, 273, 267, 20969, 267, 13647, 267, 271, 4917, 1038, 6345, 318, 5158, 815, 1257, 318, 8971, 6600, 262, 299, 9281, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 892, 630, 26596, 12770, 20048, 1834, 264, 540, 713, 20381, 6521, 538, 875, 3013, 13848, 2112, 689, 606, 23349, 5133, 910, 602, 540, 513, 5449, 1283, 19999, 6782, 4013, 945, 568, 519, 8250, 540, 1079, 4550, 21351, 1486, 22246, 543, 9310, 547, 606, 8136, 5682, 645, 699, 339, 269, 1635, 7140, 513, 17728, 267, 513, 960, 540, 19761, 267, 513, 14046, 3408, 540, 1686, 267, 19795, 267, 543, 1876, 267, 1215, 18421, 645, 1815, 877, 2782, 543, 519, 13639, 645, 1815, 877, 18421, 568, 606, 968, 650, 636, 3215, 892, 630, 763, 1715, 3840, 8648, 1070, 968, 601, 13228, 550, 892, 630, 763, 11785, 31248, 1070, 968, 322, 5971, 748, 892, 630, 4785, 5240, 1299, 2622, 7797, 1070, 543, 968, 24207, 892, 630, 763, 28543, 27450, 5240, 264, 6514, 540, 519, 1909, 540, 519, 4108, 2221, 563, 6781, 913, 782, 267, 621, 568, 513, 28487, 532, 3956, 267, 585, 15588, 338, 2152, 606, 14849, 9963, 281, 1879, 519, 6302, 1472, 2112, 14897, 267, 649, 24183, 1312, 3013, 779, 15713, 2418, 543, 519, 3486, 3652, 543, 3906, 602, 1832, 938, 1158, 689, 23510, 2509, 14784, 563, 4002, 5437, 476, 279, 267, 476, 1001, 277, 267, 18496, 11686, 4465, 519, 1977, 16232, 9550, 267, 547, 519, 9983, 540, 1082, 2066, 519, 8608, 269, 3767, 602, 11686, 568, 2155, 6387, 2987, 16644, 3971, 540, 519, 1034, 3532, 2197, 593, 3618, 267, 4892, 543, 1875, 31787, 7567, 723, 1044, 2451, 11842, 1018, 713, 786, 1611, 585, 519, 1158, 563, 2005, 814, 1044, 10645, 602, 11686, 781, 4914, 3609, 5784, 616, 791, 14601, 267, 22522, 543, 602, 789, 941, 1561, 14876, 593, 519, 5859, 13009, 269, 1717, 267, 5373, 593, 11042, 689, 607, 2484, 1394, 607, 476, 2735, 271, 267, 24898, 28247, 9007, 543, 6601, 526, 534, 3244, 916, 1397, 602, 713, 13429, 568, 5906, 569, 7301, 269, 1358, 7866, 602, 11686, 814, 1185, 513, 5812, 2990, 593, 3486, 4123, 543, 3013, 781, 24816, 2094, 646, 1101, 2808, 4881, 585, 7022, 538, 519, 3735, 476, 2735, 271, 338, 563, 13010, 267, 1010, 4914, 3609, 5784, 723, 2620, 5072, 538, 1977, 1686, 269, 1280, 519, 1007, 5518, 267, 3592, 1169, 3486, 1966, 602, 814, 21947, 519, 2136, 2276, 666, 581, 6045, 676, 519, 9073, 540, 922, 3401, 269, 8616, 267, 1310, 5756, 540, 14962, 532, 3013, 781, 3401, 607, 535, 8962, 543, 3954, 23395, 741, 23372, 267, 11686, 1590, 1631, 6961, 602, 646, 666, 798, 1732, 269, 7021, 519, 2250, 1614, 5756, 267, 646, 814, 1044, 18413, 856, 538, 11042, 267, 4930, 267, 2835, 543, 17408, 1115, 1018, 5666, 547, 513, 4914, 3609, 6138, 563, 1607, 1433, 8761, 519, 1158, 2070, 602, 11686, 6770, 547, 519, 744, 1998, 8433, 269, 898, 2982, 875, 602, 1158, 2070, 729, 4646, 267, 1018, 1522, 1267, 952, 621, 568, 4294, 538, 3609, 2474, 543, 519, 1761, 4539, 585, 519, 1964, 540, 519, 1158, 563, 1103, 519, 552, 518, 1176, 3636, 5614, 540, 476, 7277, 277, 267, 6723, 5213, 1676, 5116, 713, 29275, 538, 513, 2199, 11356, 607, 646, 543, 513, 1964, 1652, 1286, 24170, 5423, 585, 1018, 789, 12479, 1131, 581, 519, 1034, 14785, 3460, 540, 513, 10715, 269, 1809, 538, 23362, 13197, 1018, 1131, 513, 2540, 2663, 1831, 1634, 607, 519, 834, 13563, 5326, 2437, 713, 23904, 3917, 564, 2173, 582, 2917, 12284, 540, 32164, 7847, 729, 1558, 609, 513, 669, 3739, 3781, 332, 732, 282, 538, 519, 1739, 3275, 267, 741, 795, 22857, 2065, 10761, 1131, 581, 8719, 676, 26525, 1835, 625, 585, 948, 602, 1131, 2887, 14980, 538, 519, 14686, 6777, 2275, 2642, 10239, 540, 519, 23683, 21600, 563, 2171, 917, 891, 2038, 23806, 607, 519, 5213, 1676, 9549, 267, 513, 2012, 602, 814, 19310, 1243, 16897, 2094, 519, 3735, 476, 7277, 271, 338, 269, 3767, 267, 9976, 14787, 7812, 9931, 529, 587, 499, 10964, 3437, 585, 1010, 7242, 1532, 755, 532, 23609, 540, 19416, 1977, 5515, 587, 499, 11666, 1132, 1010, 1272, 779, 960, 540, 16163, 532, 1249, 689, 5708, 547, 2995, 519, 3020, 1650, 540, 835, 540, 519, 1034, 25918, 1229, 29345, 553, 538, 5375, 1686, 563, 310, 718, 529, 5956, 519, 1650, 538, 476, 7277, 277, 267, 513, 4090, 748, 834, 20204, 540, 3375, 257, 585, 519, 4182, 267, 950, 6909, 16857, 26058, 941, 1373, 1500, 538, 7147, 267, 1715, 6792, 267, 543, 4993, 269, 18830, 713, 10565, 20457, 267, 606, 12691, 6512, 540, 17631, 7902, 267, 14404, 1881, 538, 2085, 267, 5763, 267, 2069, 543, 14940, 269, 2311, 519, 21282, 941, 519, 5213, 2996, 281, 14552, 6723, 543, 15243, 267, 3020, 14930, 540, 519, 3037, 5462, 547, 512, 877, 519, 3552, 2244, 540, 4993, 282, 543, 519, 1234, 2644, 267, 18188, 676, 27093, 267, 1870, 1606, 822, 11803, 24663, 6276, 269, 769, 2698, 267, 519, 5213, 1676, 268, 3725, 539, 1895, 1131, 3914, 32210, 5498, 1597, 2367, 267, 2021, 267, 543, 1453, 267, 543, 1498, 2123, 24500, 9867, 587, 499, 321, 659, 3559, 832, 19818, 532, 585, 7045, 267, 3237, 16462, 3152, 20304, 585, 741, 1453, 587, 499, 22336, 821, 729, 5532, 676, 519, 1482, 26772, 3661, 602, 4993, 729, 741, 338, 585, 519, 2921, 563, 306, 651, 696, 673, 540, 3105, 6589, 540, 875, 519, 1895, 8694, 909, 538, 829, 559, 267, 9931, 529, 814, 6170, 1296, 1427, 571, 1424, 922, 2192, 1922, 730, 3460, 267, 26500, 7366, 540, 1007, 6054, 602, 22113, 875, 513, 4999, 540, 26846, 267, 1394, 321, 1746, 267, 543, 22672, 16531, 3366, 519, 1895, 547, 1831, 27945, 569, 6777, 20129, 693, 519, 25337, 5213, 1676, 10426, 538, 1459, 6377, 4993, 269, 29725, 1314, 532, 609, 519, 1989, 574, 2984, 540, 875, 519, 5428, 779, 533, 5306, 787, 678, 725, 4166, 5795, 1259, 547, 796, 19960, 514, 762, 14000, 267, 9931, 529, 711, 1152, 3877, 519, 28994, 756, 16117, 602, 814, 538, 10419, 8462, 20807, 539, 741, 9371, 855, 849, 519, 24123, 15063, 6105, 602, 7307, 547, 3914, 519, 18843, 539, 267, 1152, 547, 3605, 602, 1175, 17288, 32732, 1185, 15068, 519, 610, 1372, 531, 563, 2304, 796, 4148, 514, 4221, 543, 13840, 17170, 2272, 540, 519, 4158, 652, 2427, 540, 2494, 28685, 20121, 4176, 267, 634, 7454, 8092, 7201, 24656, 3091, 513, 13085, 267, 14469, 626, 6514, 540, 835, 540, 3013, 781, 1034, 1608, 600, 527, 748, 543, 2283, 1049, 1242, 15166, 1886, 1127, 563, 1103, 519, 2038, 13524, 2540, 267, 519, 2136, 2276, 5828, 922, 4998, 2065, 22401, 5045, 1189, 267, 31935, 513, 9371, 540, 4838, 543, 14081, 22675, 621, 12479, 1131, 20441, 519, 1977, 21571, 269, 3245, 24421, 532, 2823, 4872, 547, 11068, 13523, 11396, 543, 7013, 24914, 267, 606, 15730, 4182, 688, 6150, 5824, 3013, 781, 7115, 5322, 607, 32219, 9341, 1065, 337, 2478, 540, 476, 10082, 277, 269, 4634, 607, 5824, 4892, 941, 7930, 10678, 8474, 267, 772, 2529, 269, 24319, 7283, 10069, 1242, 676, 519, 3661, 602, 741, 15713, 16431, 941, 17636, 532, 936, 3864, 28112, 15967, 1851, 741, 11078, 1065, 28362, 923, 269, 1809, 607, 8474, 2968, 513, 3423, 1836, 8954, 633, 3390, 693, 1753, 267, 1434, 15884, 4724, 24431, 18561, 4838, 2456, 530, 534, 539, 269, 1635, 519, 4182, 781, 535, 3424, 328, 996, 16683, 267, 14081, 534, 3646, 13383, 1185, 1831, 513, 21934, 1245, 2390, 799, 1082, 538, 519, 2136, 2276, 25517, 606, 16809, 540, 3043, 772, 2529, 269, 11108, 1143, 602, 1131, 20807, 519, 23786, 5251, 585, 5481, 269, 15794, 2718, 14262, 1382, 538, 2185, 4654, 267, 6970, 527, 4802, 23575, 11225, 713, 5458, 569, 1713, 267, 5892, 796, 871, 852, 1194, 3022, 7432, 1448, 538, 772, 2529, 269, 1686, 563, 3080, 540, 938, 1034, 900, 5799, 12206, 19595, 721, 540, 519, 4971, 532, 1909, 5428, 6214, 814, 5129, 538, 3013, 779, 11972, 6560, 1996, 2804, 8635, 563, 257, 2467, 616, 1079, 10569, 547, 30196, 519, 11580, 540, 1977, 6214, 543, 1977, 2797, 1686, 1701, 1924, 5956, 634, 7971, 5974, 1299, 519, 661, 6549, 527, 12579, 267, 23134, 14787, 1530, 534, 12070, 550, 345, 779, 12050, 1007, 960, 540, 1686, 563, 5575, 267, 3013, 568, 3710, 593, 606, 552, 6549, 9107, 2245, 269, 2311, 519, 4182, 779, 15713, 267, 4892, 5156, 602, 26037, 540, 5763, 543, 1616, 1131, 6861, 741, 12316, 4603, 538, 14081, 534, 2229, 269, 17451, 2094, 267, 602, 2856, 814, 8032, 3084, 2797, 4655, 543, 20639, 2101, 552, 6549, 9107, 24984, 286, 5228, 519, 6406, 2782, 543, 28626, 21971, 547, 519, 1715, 20958, 543, 519, 4279, 5980, 286, 531, 784, 519, 1259, 563, 13553, 267, 851, 529, 15201, 568, 513, 8628, 20856, 675, 538, 3013, 267, 543, 3013, 568, 519, 1732, 585, 621, 269, 5272, 2101, 552, 6549, 9107, 11802, 538, 2136, 2276, 1686, 814, 8507, 9444, 689, 10205, 618, 540, 851, 16388, 6214, 6862, 689, 1514, 3350, 17600, 855, 689, 513, 19427, 540, 13889, 543, 6214, 267, 543, 1287, 8325, 9620, 3366, 676, 2379, 4184, 539, 543, 2500, 5428, 14761, 269, 1703, 568, 2370, 547, 581, 6591, 689, 519, 5326, 540, 513, 2022, 12268, 16388, 1158, 563, 4415, 891, 1079, 4030, 1530, 534, 12070, 550, 345, 3091, 513, 12627, 268, 27234, 17855, 540, 1977, 1686, 267, 5143, 998, 14761, 543, 552, 6549, 527, 12579, 1519, 7338, 10266, 324, 267, 14062, 12493, 267, 543, 654, 269, 661, 269, 645, 269, 13660, 4425, 529, 286, 320, 17855, 602, 8255, 4831, 547, 1699, 2797, 543, 3140, 3206, 269, 1306, 646, 1705, 609, 1010, 28601, 634, 22547, 540, 1977, 22640, 267, 12070, 550, 345, 2899, 1586, 4625, 21810, 938, 1620, 540, 713, 4182, 781, 2797, 543, 5837, 1915, 563, 5591, 851, 540, 519, 2197, 729, 811, 29653, 1282, 519, 1977, 7169, 982, 1715, 3840, 4975, 267, 519, 23747, 5211, 267, 543, 519, 4478, 17521, 269, 11572, 543, 4108, 3401, 593, 1312, 5011, 9763, 519, 23747, 5211, 9503, 607, 519, 1977, 795, 1872, 983, 267, 799, 267, 952, 2759, 267, 1131, 3533, 18053, 519, 18326, 547, 2669, 563, 3383, 538, 476, 10082, 277, 267, 3751, 6723, 8633, 2366, 519, 4102, 19917, 1190, 3196, 2479, 19632, 547, 28958, 24607, 543, 946, 621, 607, 513, 3490, 689, 799, 547, 7903, 909, 519, 23747, 5211, 9503, 585, 513, 6264, 14906, 14162, 31773, 693, 19186, 1415, 609, 606, 11141, 7952, 6117, 1524, 689, 4516, 269, 6723, 6115, 543, 1169, 824, 26934, 6205, 3838, 519, 4622, 781, 30651, 609, 519, 23747, 269, 9198, 725, 540, 1977, 543, 3703, 12206, 723, 4371, 519, 1482, 2070, 563, 1103, 1249, 267, 835, 540, 519, 1906, 1919, 602, 5640, 723, 8815, 2390, 568, 602, 519, 3703, 4640, 267, 1498, 29070, 569, 13401, 267, 1058, 723, 1044, 16190, 543, 2500, 269, 19402, 1631, 267, 1100, 835, 814, 11130, 602, 713, 1544, 540, 2962, 729, 561, 684, 2329, 689, 519, 4098, 269, 7169, 593, 519, 23747, 2306, 519, 12050, 1007, 4661, 602, 6628, 781, 3801, 547, 2759, 1055, 1715, 4789, 2760, 1131, 723, 5249, 267, 543, 602, 2915, 3022, 569, 13197, 17282, 540, 519, 23747, 6038, 1942, 519, 13862, 1200, 10125, 269, 898, 10002, 2931, 6946, 4108, 18902, 951, 593, 2244, 543, 4262, 267, 12857, 519, 14789, 1095, 4575, 936, 1142, 2427, 781, 4640, 267, 543, 5368, 614, 2181, 1206, 519, 13112, 2456, 540, 7810, 6214, 547, 2709, 513, 13858, 3210, 547, 835, 540, 938, 1034, 1654, 343, 532, 3140, 2055, 281, 1215, 1223, 513, 19679, 326, 1782, 4182, 723, 17204, 519, 1034, 3532, 2112, 3684, 540, 519, 5736, 888, 24730, 595, 269, 667, 2795, 534, 2914, 27903, 540, 519, 20380, 15656, 18379, 582, 31513, 13815, 585, 25220, 9085, 10784, 1122, 6233, 519, 2112, 781, 17189, 2609, 609, 922, 2797, 267, 4108, 267, 2804, 267, 543, 1514, 7516, 547, 1711, 513, 2101, 1007, 1353, 540, 519, 1977, 7169, 269, 7169, 593, 519, 23747, 3091, 513, 1454, 20501, 1620, 540, 938, 15713, 4655, 267, 543, 875, 621, 9927, 513, 18326, 602, 6628, 1058, 723, 16760, 883, 513, 2112, 789, 1223, 2760, 3094, 563, 14197, 15593, 2006, 781, 476, 5908, 275, 8781, 540, 24611, 4396, 1881, 1010, 9371, 607, 513, 678, 3578, 1652, 6205, 269, 8616, 15593, 2006, 9863, 2484, 811, 1950, 982, 1010, 19416, 4108, 12485, 7866, 269, 6276, 10557, 5062, 10673, 965, 3091, 4195, 5813, 883, 513, 812, 8731, 7757, 676, 519, 4250, 602, 1686, 1131, 1780, 1864, 676, 267, 945, 729, 12735, 4240, 676, 2123, 22440, 267, 543, 945, 5030, 1454, 540, 1010, 1272, 9674, 689, 1010, 1920, 269, 1306, 513, 17199, 267, 15593, 2006, 7960, 689, 513, 3303, 1243, 2875, 693, 4639, 8672, 883, 513, 2489, 945, 2848, 1229, 519, 6406, 2782, 781, 1034, 23801, 11044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 865, 602, 741, 5826, 6770, 5021, 7443, 563, 24868, 7724, 540, 3049, 543, 741, 3232, 6981, 454, 2691, 7446, 513, 9742, 540, 14918, 585, 3170, 1084, 532, 267, 596, 991, 547, 917, 538, 4434, 910, 1018, 621, 568, 9277, 547, 3049, 873, 267, 2094, 519, 2732, 786, 4096, 593, 519, 9742, 269, 769, 3349, 476, 272, 910, 1018, 3049, 568, 5227, 585, 1114, 14981, 540, 14918, 563, 21270, 7517, 1475, 27775, 2105, 16376, 7392, 2008, 306, 1157, 2831, 3112, 581, 3170, 1084, 539, 585, 5779, 267, 2523, 952, 789, 616, 7783, 609, 21061, 267, 18373, 2670, 267, 11763, 543, 12982, 3676, 563, 2414, 3049, 14918, 267, 6705, 946, 1114, 20555, 543, 2472, 269, 634, 1950, 540, 9783, 20555, 1058, 2285, 519, 3662, 1648, 543, 513, 2347, 1305, 540, 5567, 563, 299, 11691, 593, 6775, 910, 4839, 267, 544, 7927, 22939, 513, 2603, 540, 1648, 593, 12536, 269, 4475, 267, 621, 568, 2556, 547, 2285, 971, 1426, 538, 3908, 9424, 269, 4107, 3049, 1058, 581, 13671, 3049, 269, 15329, 566, 540, 713, 6240, 5012, 547, 513, 2942, 1267, 910, 519, 6477, 1281, 711, 2744, 2527, 563, 763, 3049, 602, 568, 2016, 547, 14918, 568, 5258, 883, 476, 274, 1292, 2516, 267, 1142, 540, 873, 5540, 519, 6492, 543, 2298, 540, 5779, 538, 1114, 2081, 269, 634, 3310, 540, 3049, 2516, 593, 519, 2298, 540, 5779, 543, 3170, 568, 3254, 538, 3349, 476, 273, 563, 347, 27026, 3143, 269, 476, 272, 910, 2087, 519, 2298, 540, 5779, 543, 3170, 1475, 290, 699, 1023, 910, 17112, 267, 2113, 2280, 267, 24061, 2008, 347, 309, 1122, 564, 1963, 267, 3597, 7031, 267, 575, 712, 1091, 2008, 347, 15463, 2125, 910, 18610, 543, 15917, 630, 15187, 1479, 267, 1325, 325, 2788, 320, 267, 1849, 1478, 10245, 347, 9288, 520, 543, 5144, 3653, 2008, 347, 5591, 269, 476, 273, 910, 31358, 519, 2298, 540, 5779, 543, 3170, 1475, 289, 3757, 910, 10568, 543, 30383, 2008, 347, 5591, 269, 476, 274, 910, 2285, 693, 519, 3355, 3942, 540, 8023, 1475, 302, 1846, 2008, 27026, 3143, 269, 476, 274, 568, 16934, 689, 519, 2732, 476, 273, 3275, 1354, 26718, 563, 3519, 1417, 3603, 616, 16760, 20555, 689, 24799, 267, 4839, 267, 22053, 267, 543, 10286, 4393, 3653, 269, 901, 1426, 2488, 2831, 609, 1648, 267, 543, 22053, 910, 609, 5946, 563, 763, 1034, 2442, 2528, 585, 3170, 1084, 532, 568, 24061, 269, 898, 568, 2007, 6479, 676, 476, 3199, 260, 543, 10607, 519, 6492, 540, 20230, 269, 634, 5888, 540, 519, 13671, 3049, 912, 268, 28113, 910, 621, 568, 2016, 1152, 693, 519, 3355, 3942, 540, 3170, 1084, 532, 3248, 268, 8970, 910, 621, 568, 6404, 609, 3049, 5627, 3940, 3248, 268, 2848, 3139, 17112, 3248, 268, 14735, 543, 7594, 630, 810, 344, 9700, 267, 30011, 267, 30485, 23092, 11850, 268, 4839, 910, 596, 666, 1406, 2285, 513, 2603, 1317, 540, 519, 1164, 6775, 1543, 563, 3519, 1417, 3603, 20555, 616, 16760, 563, 8855, 950, 8023, 13184, 912, 268, 20963, 546, 691, 568, 2016, 1152, 538, 4999, 609, 1426, 3653, 610, 30362, 1426, 910, 713, 11151, 519, 17522, 540, 519, 7181, 543, 24026, 563, 268, 717, 1778, 535, 617, 1457, 568, 711, 23017, 910, 3002, 2126, 5012, 547, 519, 9552, 540, 3742, 6878, 563, 268, 6181, 6979, 1590, 581, 23017, 910, 538, 6151, 1106, 267, 789, 616, 14605, 2007, 6479, 563, 293, 29623, 3928, 585, 14918, 609, 13671, 3049, 616, 4843, 538, 3349, 476, 274, 563, 347, 5591, 13954, 290, 11857, 1475, 8649, 870, 540, 3049, 267, 4846, 630, 1721, 513, 6477, 20604, 689, 476, 2004, 4846, 10534, 291, 2905, 10421, 267, 3049, 4559, 1475, 763, 1297, 540, 3049, 4559, 538, 476, 272, 4846, 540, 3049, 1475, 26574, 2744, 2008, 347, 272, 1475, 12640, 520, 1475, 273, 269, 272, 268, 273, 269, 275, 1475, 5228, 476, 273, 543, 1657, 1475, 5228, 476, 272, 267, 273, 1475, 271, 269, 276, 2008, 347, 273, 1475, 21574, 2917, 1475, 273, 269, 274, 268, 273, 269, 276, 1475, 5228, 476, 273, 543, 1657, 1475, 272, 269, 2641, 1475, 271, 269, 276, 2008, 347, 274, 1475, 290, 1941, 1475, 1575, 547, 476, 273, 1475, 5228, 476, 273, 543, 1657, 1475, 272, 269, 4097, 1475, 271, 269, 276, 2008, 347, 275, 1475, 8248, 553, 1475, 5228, 476, 273, 1475, 5228, 476, 273, 543, 1657, 1475, 272, 269, 1704, 1475, 271, 269, 276, 2008, 347, 276, 1475, 305, 6614, 1475, 273, 1475, 5228, 476, 273, 543, 1657, 1475, 272, 269, 1240, 1475, 271, 269, 276, 2008, 347, 277, 1475, 302, 1846, 1475, 273, 269, 272, 1475, 5228, 476, 273, 543, 1657, 1475, 272, 1475, 271, 269, 276, 2008, 347, 278, 1475, 300, 32576, 1475, 273, 267, 274, 1475, 5228, 476, 273, 543, 1657, 1475, 271, 269, 9834, 1475, 271, 269, 276, 2008, 763, 1034, 3407, 30861, 7693, 568, 12277, 269, 898, 568, 12842, 676, 476, 11463, 10065, 8000, 10633, 616, 2016, 538, 513, 7848, 609, 3940, 25202, 3049, 910, 17112, 269, 8000, 10633, 616, 2016, 538, 23017, 1106, 269, 7324, 30362, 20555, 10480, 547, 14918, 912, 268, 4425, 6150, 581, 1115, 563, 268, 2961, 12783, 910, 991, 647, 9535, 14918, 563, 268, 27124, 7219, 910, 2285, 547, 782, 2085, 2516, 563, 2414, 3049, 13184, 267, 596, 666, 946, 912, 268, 3368, 3887, 22760, 1426, 3248, 268, 3653, 6967, 1310, 5969, 3165, 543, 2831, 3248, 268, 6151, 543, 23017, 5388, 3248, 268, 890, 9934, 5613, 543, 3597, 5388, 563, 6524, 26718, 910, 538, 513, 1906, 4374, 267, 596, 991, 547, 4894, 3165, 3653, 689, 519, 2732, 267, 6382, 519, 5779, 786, 1831, 13820, 6804, 563, 310, 4292, 568, 2322, 538, 2973, 8286, 543, 2016, 547, 14918, 563, 763, 2732, 540, 14918, 666, 581, 9867, 609, 1035, 27163, 269, 2290, 1367, 568, 2016, 909, 547, 476, 273, 4846, 829, 1554, 269, 28522, 7410, 786, 711, 20549, 689, 17228, 910, 789, 616, 2322, 12015, 610, 23017, 538, 513, 544, 1662, 563, 763, 1034, 1271, 6371, 538, 6477, 6484, 568, 2121, 14782, 269, 898, 666, 581, 544, 15735, 9170, 267, 621, 9428, 10876, 269, 4880, 14782, 616, 19122, 585, 5162, 1426, 267, 15018, 1762, 22534, 269, 4419, 532, 910, 476, 4968, 575, 829, 1554, 563, 5475, 476, 277, 3108, 267, 519, 16760, 3039, 2527, 19380, 3368, 519, 2640, 269, 1403, 2121, 1479, 568, 2451, 1786, 14954, 910, 547, 3579, 267, 621, 666, 28596, 883, 343, 1709, 563, 5194, 3407, 3039, 7693, 568, 22850, 3150, 539, 269, 898, 814, 513, 2603, 540, 5946, 543, 9600, 269, 8729, 547, 22850, 3150, 539, 7594, 267, 3662, 2208, 568, 18965, 676, 476, 275, 10065, 14943, 3150, 539, 3568, 1454, 811, 16903, 267, 13101, 267, 7513, 267, 543, 7601, 982, 13386, 269, 1403, 596, 1616, 547, 2333, 519, 20656, 540, 3170, 1084, 532, 267, 1287, 621, 568, 1732, 547, 5372, 30011, 543, 13386, 28369, 609, 22850, 3150, 539, 563, 2005, 568, 3730, 547, 3049, 14918, 609, 968, 13582, 892, 910, 713, 568, 6371, 543, 16714, 538, 16760, 1106, 269, 22020, 540, 834, 13582, 13426, 268, 14043, 25568, 563, 1103, 5162, 267, 3079, 540, 3039, 1426, 267, 2285, 513, 5916, 3623, 334, 269, 898, 568, 5423, 585, 519, 2104, 689, 519, 1739, 5820, 912, 268, 18610, 6371, 454, 268, 10448, 3653, 3248, 268, 18720, 610, 6371, 7594, 3248, 303, 12127, 10480, 585, 5779, 666, 581, 2016, 3662, 3049, 912, 268, 22447, 269, 2060, 3768, 559, 3176, 5144, 267, 1152, 29186, 619, 616, 10480, 269, 16989, 2831, 616, 10480, 609, 855, 3410, 20488, 267, 1236, 574, 5144, 267, 765, 344, 563, 268, 12551, 610, 5779, 269, 12315, 585, 519, 19160, 540, 3940, 269, 1411, 666, 2285, 2831, 543, 3165, 3653, 269, 634, 10480, 3165, 1590, 581, 23017, 563, 31800, 770, 3568, 1082, 8324, 543, 5946, 602, 616, 3592, 4625, 12842, 676, 519, 1560, 269, 13379, 2744, 1813, 547, 13803, 3049, 4679, 1082, 2053, 936, 269, 1358, 3132, 2027, 13803, 910, 535, 617, 1457, 269, 7305, 476, 275, 2982, 519, 5888, 540, 519, 13803, 563, 19522, 585, 14987, 912, 268, 898, 568, 5227, 602, 476, 1789, 260, 610, 811, 540, 7623, 3049, 581, 25496, 269, 1280, 1383, 267, 952, 596, 2285, 513, 6477, 476, 273, 4846, 540, 3049, 829, 1554, 267, 1287, 476, 7785, 575, 540, 3049, 1058, 581, 6404, 609, 513, 13803, 7110, 563, 268, 1411, 666, 5372, 535, 617, 1457, 13803, 609, 536, 6033, 781, 610, 1786, 4546, 781, 13803, 563, 1432, 9360, 616, 2877, 888, 14503, 822, 1681, 1426, 609, 21187, 910, 6492, 543, 24710, 267, 621, 568, 2009, 547, 2087, 12536, 543, 21131, 540, 23441, 10433, 910, 676, 8886, 908, 519, 13364, 269, 1677, 19334, 519, 6492, 19512, 946, 23599, 11041, 912, 268, 20521, 5613, 910, 11993, 267, 8126, 518, 710, 3248, 268, 1286, 12537, 5452, 3248, 763, 6477, 1920, 786, 711, 20549, 547, 6492, 519, 6653, 269, 1677, 2285, 14918, 513, 6492, 540, 12257, 267, 789, 2322, 538, 741, 1426, 912, 268, 476, 273, 269, 276, 260, 4006, 3248, 268, 476, 276, 260, 2666, 3819, 581, 1115, 563, 300, 7927, 4782, 513, 11877, 6492, 936, 606, 22279, 835, 269, 1677, 1711, 621, 267, 5214, 610, 22803, 7408, 616, 3773, 547, 519, 1426, 910, 561, 12519, 610, 1035, 2045, 267, 1369, 476, 271, 269, 275, 260, 540, 519, 6712, 2597, 269, 1677, 1039, 15280, 1145, 547, 519, 3049, 267, 1039, 476, 271, 269, 1428, 260, 28401, 610, 476, 271, 269, 275, 260, 7513, 17296, 563, 2690, 1732, 7558, 2225, 543, 7287, 547, 3548, 267, 2831, 616, 2016, 1426, 609, 6653, 267, 11877, 610, 15280, 21187, 269, 12830, 21187, 1331, 3632, 878, 3679, 269, 769, 519, 1560, 267, 621, 15824, 519, 1739, 3252, 912, 268, 5786, 540, 3968, 4220, 3248, 268, 3339, 1436, 540, 9063, 3248, 268, 1164, 7779, 12536, 540, 1426, 3248, 268, 3339, 1436, 540, 29370, 3271, 320, 563, 763, 1840, 540, 3632, 878, 3679, 666, 2333, 519, 2744, 676, 476, 280, 268, 1704, 10065, 30318, 1543, 568, 476, 272, 260, 676, 2597, 540, 3049, 563, 14737, 1968, 9360, 616, 2016, 547, 14918, 910, 789, 616, 3773, 547, 519, 3049, 912, 268, 11849, 610, 5755, 3248, 268, 18654, 512, 4428, 3248, 268, 513, 4062, 540, 25879, 3248, 2005, 568, 2556, 547, 1039, 1507, 13066, 540, 11216, 547, 519, 3049, 910, 789, 2569, 519, 11841, 543, 2333, 519, 2744, 676, 476, 1428, 10065, 11930, 21339, 910, 4437, 990, 527, 268, 736, 267, 6833, 9545, 527, 268, 2412, 543, 1866, 269, 1358, 1590, 581, 2016, 1310, 15360, 609, 513, 16943, 563, 3963, 616, 30485, 23092, 9360, 2877, 888, 303, 675, 30485, 3112, 581, 2016, 547, 14918, 269, 1809, 538, 1507, 13066, 267, 609, 13165, 267, 30485, 568, 2016, 267, 2094, 621, 814, 513, 21338, 1198, 269, 14066, 13066, 22009, 519, 2298, 540, 5779, 543, 3170, 910, 789, 10536, 513, 5835, 880, 512, 842, 543, 12520, 513, 3165, 344, 9329, 563, 3719, 519, 30485, 14735, 568, 1360, 3730, 585, 14918, 269, 898, 3568, 912, 268, 3940, 910, 476, 2764, 260, 3248, 268, 7509, 910, 476, 1556, 260, 3248, 268, 3170, 910, 476, 280, 260, 3248, 268, 1349, 633, 6878, 563, 2691, 519, 14735, 568, 22224, 538, 1216, 267, 22024, 568, 5950, 602, 14014, 519, 6821, 540, 519, 7181, 689, 16698, 563, 1692, 547, 5965, 1426, 888, 12179, 1426, 267, 1354, 4758, 14918, 267, 2154, 513, 2186, 540, 7041, 269, 8729, 547, 3049, 4393, 912, 268, 741, 9422, 1871, 4679, 3248, 268, 741, 7558, 2225, 10607, 3248, 268, 789, 616, 21149, 539, 563, 2467, 616, 1896, 2409, 585, 8600, 3049, 912, 268, 20996, 269, 634, 5820, 616, 16760, 267, 16760, 543, 6404, 269, 9214, 1162, 6484, 543, 3548, 1464, 540, 3049, 563, 268, 11906, 269, 634, 5820, 616, 5701, 609, 12659, 8932, 610, 3679, 910, 713, 1505, 568, 1031, 585, 2352, 547, 7558, 6878, 563, 268, 18143, 898, 5161, 538, 513, 9864, 1689, 538, 3114, 5888, 269, 19793, 1386, 676, 3623, 720, 267, 18829, 267, 23286, 267, 3092, 563, 22025, 6737, 568, 519, 1292, 535, 617, 1457, 3597, 7693, 269, 21984, 12277, 540, 14918, 616, 14605, 2007, 6479, 267, 621, 568, 5227, 547, 3434, 543, 9054, 611, 621, 269, 8000, 10633, 616, 2016, 547, 14918, 6404, 609, 23611, 610, 3039, 1426, 563, 763, 1216, 538, 799, 519, 12277, 941, 23017, 568, 27071, 910, 621, 568, 5739, 547, 14918, 267, 607, 621, 3568, 20715, 1151, 29516, 563, 8448, 5388, 910, 581, 1115, 267, 17436, 267, 6802, 9469, 267, 1354, 7674, 512, 5407, 593, 513, 21432, 1989, 831, 269, 12315, 873, 6151, 269, 11676, 5523, 1354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 454, 321, 21488, 815, 27835, 20625, 3299, 1412, 528, 1052, 3299, 1412, 20625, 3299, 1412, 701, 541, 3299, 1412, 528, 1052, 3299, 1412, 3316, 3570, 262, 8679, 2745, 6357, 21488, 264, 4449, 8587, 1948, 476, 10254, 510, 30522, 353, 19404, 491, 14035, 491, 7511, 692, 2745, 2891, 528, 1052, 257, 538, 11127, 2020, 258, 476, 4970, 353, 14748, 421, 505, 484, 12571, 486, 25426, 368, 7511, 13213, 494, 28997, 501, 454, 320, 815, 1305, 3488, 629, 2350, 611, 629, 571, 5073, 321, 815, 1305, 3488, 531, 659, 1794, 600, 5073, 2745, 5416, 994, 2745, 6357, 2020, 2745, 5416, 910, 536, 264, 672, 1948, 513, 25520, 321, 7511, 26266, 362, 421, 505, 484, 454, 2745, 5416, 1923, 536, 264, 672, 1948, 513, 25520, 321, 7511, 23946, 370, 421, 505, 484, 454, 2745, 5416, 1299, 536, 264, 672, 1948, 513, 25520, 321, 7511, 11590, 353, 421, 505, 484, 454, 2745, 5416, 9745, 536, 264, 672, 1948, 513, 25520, 321, 18809, 21251, 12571, 490, 28793, 11858, 502, 21928, 7511, 30317, 27381, 510, 454, 2745, 3488, 10900, 9339, 17210, 258, 22614, 365, 375, 25263, 376, 28578, 23989, 26406, 357, 21382, 376, 19764, 493, 8147, 12571, 490, 21550, 371, 421, 505, 484, 12571, 486, 418, 498, 363, 418, 490, 479, 421, 505, 484, 12571, 486, 26406, 357, 21382, 376, 19764, 493, 263, 13729, 8223, 2187, 320, 815, 2715, 343, 585, 1535, 538, 1412, 629, 2350, 611, 629, 571, 262, 952, 1535, 711, 538, 1412, 29582, 262, 8679, 2745, 5416, 2020, 7531, 0, 258, 476, 21211, 31033, 4970, 366, 8147, 28578, 23989, 16043, 500, 30317, 14756, 482, 28098, 420, 365, 350, 421, 25693, 23746, 17958, 30678, 10254, 505, 417, 375, 374, 13213, 511, 28786, 417, 503, 357, 16088, 454, 4289, 17342, 272, 267, 273, 267, 274, 267, 275, 2639, 527, 815, 12055, 17338, 264, 825, 1948, 476, 10254, 505, 417, 375, 374, 13213, 511, 28786, 417, 503, 357, 28098, 420, 365, 350, 454, 2745, 630, 10113, 263, 527, 4297, 567, 1948, 476, 27447, 24731, 13213, 511, 28786, 417, 503, 357, 7511, 31284, 22047, 30317, 27381, 510, 454, 2745, 630, 10113, 263, 527, 11723, 2745, 9497, 1366, 268, 5602, 258, 476, 13213, 511, 28786, 417, 503, 357, 28098, 420, 365, 350, 23746, 23284, 12916, 379, 17958, 27747, 372, 25335, 482, 1721, 13644, 511, 9463, 354, 13213, 505, 27310, 421, 479, 491, 31308, 484, 454, 4289, 17342, 272, 267, 273, 267, 274, 267, 275, 2639, 527, 815, 12055, 17338, 264, 825, 1948, 476, 10254, 505, 417, 375, 374, 13213, 511, 28786, 417, 503, 357, 28098, 420, 365, 350, 454, 1721, 1535, 538, 621, 912, 825, 1820, 630, 343, 267, 1439, 6889, 834, 9239, 2745, 4590, 2745, 9497, 1366, 268, 5602, 258, 476, 18263, 509, 23746, 23284, 12916, 379, 17958, 1985, 3890, 13127, 485, 30936, 16088, 454, 258, 1104, 19523, 1363, 1948, 13127, 376, 499, 24662, 19523, 17276, 357, 350, 417, 507, 501, 454, 16482, 258, 1592, 17342, 272, 267, 273, 267, 274, 267, 275, 2639, 258, 621, 815, 12055, 17338, 264, 825, 1948, 476, 10254, 505, 417, 375, 374, 13213, 511, 28786, 417, 503, 357, 28098, 420, 365, 350, 454, 16482, 258, 1247, 6936, 912, 258, 672, 2119, 912, 258, 1363, 1820, 630, 10113, 263, 527, 4917, 258, 672, 4849, 17547, 296, 614, 566, 912, 258, 1363, 19523, 20216, 527, 10797, 258, 17547, 296, 614, 566, 13127, 376, 480, 27747, 372, 17958, 30678, 21550, 485, 13644, 484, 13213, 511, 28786, 7511, 14395, 490, 29873, 8147, 421, 502, 366, 27882, 351, 24731, 27064, 364, 20721, 510, 30522, 494, 23523, 359, 27064, 363, 7511, 418, 481, 483, 19540, 369, 8147, 21928, 6449, 10113, 1029, 3890, 476, 25913, 25622, 18809, 16043, 495, 10524, 361, 23746, 23284, 18777, 378, 419, 377, 362, 21928, 14395, 490, 29873, 418, 490, 485, 27936, 23523, 359, 27064, 363, 418, 361, 350, 12255, 12571, 492, 25335, 355, 9463, 495, 17547, 296, 614, 566, 13127, 376, 480, 27747, 372, 23521, 354, 14756, 497, 23521, 509, 13213, 511, 28786, 25707, 2745, 9497, 1366, 268, 15419, 692, 258, 476, 13200, 509, 29873, 417, 503, 357, 13127, 506, 357, 5124, 476, 18809, 8147, 12916, 379, 17958, 29072, 6556, 476, 7511, 16583, 30936, 420, 351, 360, 26175, 364, 20992, 13200, 509, 29873, 417, 503, 357, 27818, 10090, 1807, 24724, 454, 258, 29635, 371, 509, 418, 503, 362, 20881, 504, 16583, 30936, 21251, 12571, 490, 7511, 15159, 8147, 13200, 509, 29873, 417, 503, 357, 15159, 22047, 13213, 498, 18713, 508, 13213, 511, 28786, 417, 503, 357, 7511, 16583, 30936, 8147, 9463, 359, 420, 25693, 17958, 30678, 13213, 511, 28786, 418, 497, 491, 30853, 8147, 418, 505, 368, 28997, 478, 22287, 499, 30536, 419, 494, 484, 25335, 352, 13200, 509, 29873, 417, 503, 357, 16533, 365, 15159, 22047, 13213, 511, 28786, 417, 503, 357, 25707, 258, 13127, 506, 357, 420, 364, 481, 17958, 13200, 509, 29873, 417, 503, 357, 13213, 494, 27310, 7511, 13213, 485, 31801, 489, 18809, 8147, 30006, 493, 418, 361, 350, 421, 479, 485, 28996, 6556, 17276, 501, 370, 16583, 30936, 25263, 504, 418, 504, 480, 417, 479, 506, 23946, 370, 32517, 507, 11858, 502, 25051, 497, 31176, 491, 19867, 478, 20069, 7511, 13213, 494, 27310, 32517, 350, 418, 479, 363, 8147, 13213, 498, 18713, 508, 6556, 476, 7511, 29219, 267, 13127, 373, 370, 21928, 31284, 13601, 418, 361, 350, 19867, 356, 27310, 1985, 3890, 476, 25913, 25622, 28793, 10524, 492, 25051, 497, 31176, 491, 12916, 491, 419, 377, 362, 14756, 356, 14756, 511, 13213, 494, 27310, 12486, 692, 5814, 19523, 692, 3698, 4017, 20906, 3799, 2567, 1948, 476, 13200, 509, 29873, 417, 503, 357, 16583, 30936, 910, 476, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 454, 825, 513, 267, 536, 267, 4831, 815, 476, 271, 267, 476, 272, 267, 476, 271, 454, 825, 1247, 6936, 912, 1038, 952, 630, 322, 3300, 3436, 562, 2187, 2018, 2132, 454, 1038, 6556, 513, 454, 1038, 513, 267, 536, 815, 536, 267, 513, 1341, 536, 454, 1038, 4831, 6834, 476, 272, 454, 325, 815, 4017, 20906, 263, 1015, 264, 1948, 535, 476, 15159, 22047, 13213, 511, 28786, 417, 503, 357, 8147, 13200, 365, 13200, 509, 29873, 417, 503, 357, 13213, 498, 18713, 508, 13200, 509, 29873, 692, 6112, 6936, 912, 825, 2119, 912, 1038, 1820, 630, 10113, 6600, 1070, 1439, 6889, 19515, 825, 4849, 17547, 296, 614, 566, 912, 1038, 19523, 20216, 527, 10797, 19638, 692, 0, 258, 28605, 8193, 281, 30016, 268, 279, 910, 20330, 3097, 3698, 547, 318, 684, 545, 1712, 30415, 2187, 3097, 825, 1427, 815, 1412, 7055, 825, 585, 642, 538, 5569, 912, 1038, 1427, 815, 1427, 1341, 15279, 263, 867, 17635, 26895, 21639, 14061, 516, 2897, 3488, 271, 311, 3299, 1412, 11138, 340, 5073, 3097, 825, 2132, 1427, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 453, 28744, 263, 1729, 318, 684, 545, 1712, 2891, 23523, 478, 26266, 355, 23521, 354, 30536, 19823, 7003, 263, 1729, 318, 684, 545, 1712, 2891, 23523, 478, 26266, 355, 23521, 354, 30536, 257, 21875, 453, 28744, 263, 1729, 318, 684, 545, 1712, 2891, 23523, 478, 9463, 367, 23521, 354, 30536, 27363, 453, 28744, 263, 1729, 318, 684, 545, 1712, 2891, 23523, 478, 31968, 23521, 354, 30536, 27363, 453, 28744, 263, 1729, 318, 684, 545, 1712, 2891, 23523, 478, 31284, 23521, 354, 30536, 27363, 13537, 263, 1729, 318, 684, 545, 1712, 2891, 26266, 355, 9463, 367, 27363, 13537, 263, 1729, 318, 684, 545, 1712, 2891, 31176, 491, 12571, 492, 27363, 13537, 263, 1729, 318, 684, 545, 1712, 2891, 31968, 31284, 27363, 13537, 263, 1729, 318, 684, 545, 1712, 2891, 420, 371, 507, 419, 355, 375, 27363, 453, 28744, 263, 1729, 318, 684, 545, 1712, 2891, 419, 499, 372, 9463, 502, 418, 490, 485, 21550, 485, 27363, 0, 5814, 21795, 607, 19073, 692, 11907, 815, 13634, 825, 834, 5632, 1559, 9899, 1496, 22213, 267, 476, 23884, 267, 476, 274, 16689, 825, 834, 325, 9899, 1496, 271, 267, 271, 267, 271, 16689, 825, 834, 323, 4851, 9899, 1496, 275, 267, 476, 276, 267, 476, 274, 16689, 825, 834, 6943, 9899, 22373, 323, 4851, 14824, 5632, 1559, 2580, 834, 323, 4851, 31116, 10926, 3698, 1205, 4433, 2187, 825, 952, 521, 2652, 834, 323, 4851, 13426, 1038, 2132, 476, 274, 454, 825, 2132, 476, 276, 454, 258, 2903, 1239, 883, 513, 4578, 20988, 1843, 912, 4206, 815, 19073, 6185, 1092, 20988, 16597, 994, 16344, 614, 318, 2559, 815, 17093, 9131, 5632, 1559, 11172, 4939, 476, 273, 2652, 476, 271, 454, 4206, 9131, 323, 4851, 11172, 815, 17093, 9131, 323, 4851, 11172, 1341, 17093, 9131, 323, 4851, 11172, 16732, 272, 266, 17093, 9131, 323, 4851, 262, 8079, 270, 273, 454, 4206, 7456, 665, 314, 16344, 614, 318, 2559, 10086, 5632, 1559, 11172, 815, 17093, 7456, 665, 314, 16344, 614, 318, 2559, 10086, 5632, 1559, 11172, 270, 273, 454, 4206, 7456, 665, 314, 349, 16344, 614, 318, 2559, 10086, 5632, 1559, 11172, 815, 17093, 7456, 665, 314, 349, 16344, 614, 318, 2559, 10086, 5632, 1559, 11172, 265, 273, 454, 258, 17093, 7456, 665, 9131, 325, 11172, 815, 17093, 7456, 665, 314, 4206, 7456, 665, 314, 4206, 9131, 6943, 11172, 27663, 258, 17093, 9131, 720, 262, 4940, 1952, 569, 10857, 10033, 1535, 281, 1412, 3849, 738, 262, 952, 1535, 285, 284, 1240, 3116, 1412, 21609, 5073, 4206, 7456, 665, 314, 16344, 614, 318, 2559, 10086, 325, 11172, 815, 17093, 269, 1952, 569, 10857, 10033, 1535, 281, 476, 274, 952, 1535, 9131, 6943, 11172, 2652, 834, 323, 4851, 257, 3116, 476, 276, 267, 7852, 284, 272, 994, 2745, 29254, 994, 0, 5814, 4351, 454, 325, 327, 815, 1930, 2891, 7069, 17572, 17902, 5602, 325, 327, 272, 815, 1930, 2891, 7069, 17572, 9928, 1090, 16940, 17902, 14824, 342, 5602, 3698, 695, 4428, 956, 27182, 2187, 825, 1948, 1205, 707, 2262, 607, 513, 1592, 454, 825, 2262, 815, 1592, 27182, 2020, 825, 1948, 1685, 519, 695, 28984, 5106, 454, 825, 4351, 11075, 28984, 27182, 994, 825, 1948, 2132, 519, 1592, 607, 513, 5569, 454, 825, 2262, 815, 1412, 8339, 21860, 27182, 2020, 825, 2132, 2262, 454, 1721, 1899, 538, 535, 327, 912, 825, 1899, 815, 1899, 21858, 4590, 825, 585, 2262, 538, 1899, 912, 1038, 952, 7003, 27182, 264, 3436, 476, 274, 912, 2018, 952, 2262, 269, 1742, 5976, 3488, 9538, 264, 610, 2262, 269, 1742, 5976, 263, 3299, 10807, 610, 2262, 269, 1742, 5976, 3488, 256, 10807, 610, 2262, 269, 1742, 5976, 3488, 282, 10807, 610, 2262, 269, 1742, 5976, 3488, 286, 262, 2187, 3546, 535, 327, 272, 22182, 27182, 314, 271, 316, 1341, 15234, 1341, 695, 4428, 956, 27182, 314, 272, 18737, 273, 8079, 1341, 15234, 1341, 2262, 15631, 273, 316, 1341, 15234, 1341, 2262, 15631, 272, 316, 1341, 1412, 30386, 2018, 3116, 912, 3546, 535, 327, 272, 22182, 27182, 314, 271, 316, 1341, 15234, 1341, 695, 4428, 956, 27182, 314, 272, 18737, 272, 8079, 1341, 15234, 1341, 2262, 15631, 272, 316, 1341, 1412, 30386, 1038, 3116, 912, 3546, 535, 327, 272, 22182, 27182, 1341, 1412, 1412, 264, 0, 4067, 815, 3403, 3488, 11767, 707, 2012, 281, 1412, 2020, 720, 815, 3403, 3488, 1432, 568, 707, 2085, 281, 1412, 2020, 2745, 6600, 262, 8702, 267, 2715, 4067, 20467, 6520, 568, 2715, 720, 348, 10807, 0, 5814, 7510, 339, 1206, 343, 274, 454, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 454, 5814, 30220, 454, 5814, 28957, 454, 5814, 1357, 321, 4900, 518, 454, 5814, 15259, 454, 5814, 1159, 339, 680, 756, 454, 5814, 13668, 454, 5228, 536, 338, 275, 1104, 27202, 306, 19281, 692, 12528, 815, 834, 289, 32569, 5016, 258, 17553, 909, 1257, 3562, 6741, 3663, 5639, 543, 6340, 2557, 454, 19956, 815, 7510, 339, 1206, 343, 274, 269, 8181, 4590, 341, 7860, 815, 2599, 10947, 19187, 1399, 2891, 341, 7860, 5602, 3433, 815, 2599, 10947, 19187, 1399, 2891, 3433, 15419, 19956, 15630, 19187, 1399, 2891, 341, 4069, 2580, 9739, 314, 271, 4940, 573, 994, 19956, 15630, 19187, 1399, 2891, 3433, 2580, 476, 1220, 2020, 258, 20593, 1206, 1257, 547, 4633, 543, 14509, 16965, 519, 1257, 2322, 883, 519, 1599, 454, 3698, 3717, 29495, 2187, 825, 2599, 4732, 599, 29495, 994, 825, 2599, 269, 14725, 4517, 310, 7159, 10797, 258, 13983, 1115, 3593, 1759, 593, 519, 942, 540, 519, 1554, 454, 3698, 28551, 10031, 825, 5662, 815, 703, 5560, 520, 8135, 6155, 520, 8135, 269, 852, 14061, 327, 712, 2020, 825, 952, 5662, 3436, 476, 271, 543, 5662, 2999, 476, 1321, 912, 1038, 3717, 2891, 14187, 27450, 257, 1341, 3593, 994, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 12648, 519, 1985, 1900, 281, 3367, 1250, 2022, 593, 875, 547, 1332, 22156, 543, 1376, 14237, 713, 14312, 3039, 538, 707, 6668, 4677, 2336, 294, 541, 997, 568, 513, 11684, 7693, 602, 3091, 1312, 11477, 543, 16392, 2640, 269, 898, 814, 1044, 1031, 585, 5553, 585, 922, 2189, 8137, 543, 3875, 1072, 1790, 668, 7627, 3601, 269, 19663, 13342, 538, 707, 6668, 4677, 5849, 513, 4712, 3761, 540, 713, 29316, 15941, 269, 12275, 997, 814, 2067, 21734, 3601, 543, 568, 3638, 538, 14434, 267, 799, 666, 1489, 707, 4761, 1062, 543, 2949, 1134, 5630, 269, 12275, 997, 568, 865, 2653, 547, 1332, 267, 972, 568, 1100, 2601, 711, 547, 1332, 621, 563, 12648, 519, 1985, 1900, 281, 3367, 1250, 2022, 593, 875, 547, 1332, 13342, 543, 1451, 519, 11580, 547, 14237, 707, 1378, 4195, 543, 29316, 13342, 538, 707, 6668, 4677, 2336, 22025, 10633, 616, 513, 6325, 2707, 540, 8477, 543, 513, 3407, 20013, 7693, 269, 1358, 1683, 32351, 1282, 2053, 540, 20317, 543, 616, 11212, 11684, 538, 519, 10051, 269, 8000, 10633, 616, 5266, 2653, 547, 1332, 543, 666, 581, 16916, 538, 1585, 16374, 269, 1358, 4558, 1134, 543, 666, 581, 513, 1279, 18835, 1426, 2707, 269, 2060, 1114, 8677, 2139, 267, 596, 666, 3442, 689, 513, 2039, 540, 18282, 543, 10366, 547, 9290, 707, 7375, 269, 8000, 10633, 1683, 606, 6909, 29907, 585, 707, 11369, 609, 741, 7556, 6556, 543, 942, 3403, 563, 12648, 519, 1985, 1900, 281, 3367, 1250, 2022, 593, 875, 547, 1332, 12277, 543, 1376, 14237, 713, 11684, 543, 11423, 7693, 538, 707, 6668, 4677, 2336, 4002, 687, 616, 513, 4909, 12146, 538, 1082, 11477, 5389, 5001, 269, 14755, 4946, 8137, 547, 513, 3099, 540, 8286, 267, 19637, 2709, 3875, 1072, 2640, 269, 1358, 2270, 8324, 267, 6886, 267, 543, 14434, 602, 1489, 4761, 1599, 543, 9025, 1072, 269, 2201, 687, 616, 5266, 1970, 31720, 5199, 7031, 267, 1818, 873, 606, 5140, 3903, 585, 513, 6668, 4677, 269, 594, 6557, 782, 827, 1970, 5826, 538, 519, 4677, 267, 865, 602, 568, 1946, 594, 1332, 19637, 543, 1287, 666, 873, 909, 610, 19068, 873, 2336, 12648, 519, 1985, 1900, 281, 3367, 1250, 2022, 593, 875, 547, 1332, 19637, 543, 3605, 519, 2553, 585, 14237, 707, 1378, 23599, 543, 14312, 19637, 538, 707, 6668, 4677, 2336, 6826, 753, 616, 606, 1898, 7693, 585, 513, 6668, 4677, 1813, 547, 741, 1164, 3940, 543, 8192, 6775, 1543, 269, 1358, 1683, 513, 4264, 2707, 540, 2030, 2861, 3940, 543, 666, 581, 12015, 543, 6740, 585, 606, 6905, 1974, 269, 2060, 1585, 21167, 8677, 2139, 267, 971, 607, 8459, 10365, 267, 3109, 10365, 267, 543, 3039, 10365, 267, 596, 666, 1039, 4763, 547, 707, 4677, 543, 2972, 513, 2039, 540, 11477, 7399, 269, 4658, 10692, 936, 10365, 693, 519, 4558, 267, 865, 621, 2982, 596, 741, 1871, 585, 3046, 18146, 952, 621, 2501, 547, 602, 563, 12648, 519, 1985, 1900, 281, 3367, 1250, 2022, 593, 875, 547, 1332, 10365, 543, 1376, 14237, 713, 3940, 1790, 17977, 7693, 538, 707, 6668, 4677, 585, 513, 6325, 2707, 540, 6484, 2336, 288, 6668, 4677, 3091, 711, 1152, 32351, 855, 849, 513, 2631, 540, 3354, 267, 1582, 1606, 7739, 1464, 267, 543, 4276, 547, 519, 3618, 269, 1635, 3395, 1898, 7031, 899, 11002, 889, 16808, 267, 17436, 267, 22156, 267, 13342, 267, 12277, 267, 19637, 267, 543, 10365, 267, 596, 666, 1711, 513, 14762, 4677, 602, 5849, 1426, 3354, 1282, 2053, 540, 991, 563, 290, 738, 22899, 891, 7031, 2488, 596, 609, 4195, 267, 14312, 3132, 267, 6971, 16126, 593, 5007, 1426, 2959, 267, 543, 8992, 513, 8902, 267, 811, 4264, 6197, 563, 9359, 4058, 543, 14237, 707, 6668, 4677, 2221, 267, 543, 9784, 519, 12587, 540, 3395, 707, 1378, 1426, 563, 21761, 18542, 5999, 454, 4692, 594, 1332, 891, 7031, 538, 11149, 888, 8133, 267, 782, 540, 891, 7031, 666, 581, 6707, 6738, 538, 11149, 267, 1818, 873, 5078, 585, 1507, 5624, 899, 2545, 935, 625, 610, 1273, 3930, 269, 3807, 2327, 519, 11149, 723, 7850, 12775, 543, 1683, 519, 2556, 7943, 543, 1416, 563, 1692, 1279, 1281, 621, 1491, 585, 891, 7031, 547, 9921, 888, 763, 942, 2838, 585, 891, 7031, 547, 3914, 15657, 9775, 269, 2961, 12783, 267, 22156, 267, 543, 10365, 666, 3335, 581, 19122, 1369, 513, 1906, 3275, 269, 10910, 889, 16808, 267, 13342, 267, 12277, 267, 543, 19637, 949, 1491, 3476, 267, 4470, 593, 519, 3099, 543, 3395, 2175, 563, 2710, 891, 7031, 2154, 513, 2603, 540, 5826, 888, 4407, 891, 7031, 616, 5266, 1970, 31720, 5199, 267, 789, 1869, 2154, 2834, 14450, 267, 649, 5338, 267, 543, 17573, 22289, 269, 21278, 1697, 1416, 267, 971, 607, 9427, 10860, 610, 3676, 267, 5849, 6099, 2208, 543, 7607, 563, 4692, 594, 4688, 5452, 689, 891, 7031, 585, 2104, 9544, 888, 8133, 267, 1034, 540, 891, 7031, 666, 581, 9070, 730, 676, 9494, 543, 13936, 5452, 585, 2104, 9544, 269, 1717, 267, 621, 781, 1898, 547, 1246, 1697, 6079, 22766, 2553, 543, 2327, 519, 5452, 616, 3819, 543, 6740, 538, 513, 3579, 267, 4158, 1747, 563, 6701, 972, 1022, 10860, 610, 3676, 602, 4122, 1860, 891, 7031, 888, 4407, 891, 7031, 616, 3622, 14388, 267, 789, 666, 581, 11630, 547, 1978, 10860, 543, 3676, 269, 5871, 10860, 1331, 30293, 267, 22376, 7714, 267, 543, 30746, 267, 1247, 3676, 899, 16507, 5563, 949, 1860, 519, 2371, 269, 8617, 5464, 267, 7598, 5214, 11641, 1852, 2409, 267, 543, 8026, 7693, 10047, 666, 948, 2061, 543, 4383, 891, 2152, 3927, 269, 0, 1103, 5437, 713, 1032, 267, 519, 2817, 27308, 6069, 513, 681, 272, 5479, 2759, 547, 7486, 7616, 269, 901, 814, 2097, 827, 1317, 1107, 2864, 982, 7487, 519, 4389, 3902, 540, 1884, 790, 339, 22201, 12637, 2126, 607, 606, 4316, 547, 4336, 909, 2126, 3795, 543, 7794, 824, 7459, 547, 2232, 519, 7486, 15435, 1107, 519, 4972, 540, 2657, 814, 2938, 621, 607, 606, 4316, 585, 1942, 8410, 24287, 563, 4913, 267, 9806, 1500, 676, 1022, 1942, 5786, 593, 7486, 2126, 1058, 711, 3274, 581, 8120, 547, 519, 27308, 269, 6270, 9806, 1683, 606, 4316, 547, 2322, 538, 1747, 3606, 15961, 543, 3800, 547, 1312, 2061, 543, 1521, 7486, 547, 1450, 811, 1004, 609, 7486, 547, 2661, 2407, 518, 2729, 543, 7753, 713, 15435, 563, 1607, 2759, 568, 1373, 6069, 693, 519, 1482, 942, 607, 606, 3606, 476, 1556, 269, 276, 260, 2759, 547, 519, 2907, 896, 325, 24962, 7486, 12458, 1749, 630, 16908, 10341, 4065, 264, 16827, 267, 799, 568, 9277, 547, 1489, 519, 2229, 779, 7486, 6604, 4640, 676, 3246, 6267, 609, 3102, 3023, 2069, 543, 1569, 547, 4638, 543, 10285, 1072, 2533, 563, 1103, 824, 1913, 267, 11912, 616, 1373, 6069, 547, 1312, 519, 2126, 543, 6604, 540, 7486, 267, 1510, 1022, 2963, 602, 519, 2229, 814, 2808, 610, 11117, 519, 1198, 713, 786, 723, 593, 519, 13338, 2924, 267, 1072, 267, 610, 2729, 540, 1346, 4299, 267, 3226, 2021, 543, 7925, 2516, 563, 293, 27448, 3162, 4000, 779, 3210, 547, 7486, 454, 21026, 4000, 779, 7486, 3210, 814, 2097, 513, 1279, 1259, 689, 519, 17847, 995, 1296, 540, 24677, 1143, 543, 16663, 602, 8507, 538, 7366, 540, 5215, 540, 28824, 7972, 1813, 547, 17799, 538, 1818, 1272, 22766, 2126, 2139, 269, 5685, 3496, 7459, 547, 2333, 4152, 267, 26193, 3968, 543, 4336, 909, 2126, 814, 12261, 883, 1272, 19104, 5355, 676, 8370, 1296, 689, 922, 1970, 1448, 538, 519, 2038, 476, 1220, 271, 338, 543, 14733, 20214, 538, 10867, 543, 1126, 9019, 3928, 563, 1103, 476, 1220, 275, 2229, 1360, 7444, 3323, 12902, 856, 2126, 693, 1857, 1072, 6703, 1107, 519, 10605, 1152, 2731, 13603, 909, 689, 1472, 476, 1220, 279, 269, 4653, 936, 476, 276, 269, 278, 2929, 540, 519, 476, 278, 269, 279, 2929, 1004, 2713, 609, 7486, 538, 519, 2197, 616, 4324, 1154, 689, 2126, 269, 1452, 3646, 723, 849, 8507, 538, 4389, 3968, 3928, 1107, 693, 476, 13932, 476, 1822, 538, 476, 1708, 273, 689, 1175, 936, 3368, 513, 2929, 1007, 5563, 538, 476, 1220, 275, 563, 4913, 267, 3162, 4000, 1869, 6589, 585, 476, 736, 260, 540, 1007, 7486, 5563, 11451, 267, 543, 938, 2557, 540, 1007, 5563, 814, 711, 1044, 13302, 24847, 2614, 538, 2487, 1296, 547, 2743, 519, 2229, 779, 9072, 269, 2755, 519, 3210, 547, 519, 7486, 15435, 814, 4824, 267, 519, 15435, 814, 1869, 711, 8694, 563, 5978, 7486, 3210, 568, 7361, 14102, 676, 519, 8258, 1922, 10642, 10588, 2657, 5358, 6996, 16827, 799, 6087, 16899, 547, 1683, 7486, 4152, 267, 519, 2126, 10872, 267, 598, 3256, 3892, 267, 2022, 7721, 17068, 605, 29091, 9471, 630, 303, 7968, 1070, 6604, 540, 3993, 3562, 30512, 6771, 267, 543, 7486, 5646, 18522, 607, 1134, 607, 824, 7459, 563, 288, 772, 2793, 10680, 1867, 17099, 7486, 7616, 585, 9494, 6634, 540, 2729, 607, 1134, 607, 14304, 519, 1857, 1072, 1949, 540, 4299, 2477, 267, 1519, 938, 1378, 269, 1717, 267, 772, 2793, 10680, 4967, 602, 2799, 5092, 568, 1869, 2877, 547, 1439, 519, 7486, 15435, 269, 7201, 513, 4628, 30845, 7486, 3210, 267, 3162, 4000, 1131, 581, 2111, 547, 2569, 1007, 5563, 676, 476, 4792, 260, 676, 476, 10711, 271, 267, 2495, 606, 3606, 476, 272, 267, 3374, 2929, 1007, 7486, 5563, 1223, 581, 15286, 563, 307, 516, 21204, 779, 11556, 538, 519, 2487, 23839, 12910, 20907, 8889, 15048, 630, 21587, 289, 4916, 264, 547, 2759, 681, 272, 5479, 689, 519, 7486, 5057, 540, 519, 10588, 2657, 5358, 6996, 16827, 18922, 547, 513, 476, 275, 260, 2759, 689, 519, 6301, 20907, 779, 681, 2537, 269, 280, 5479, 547, 681, 2420, 269, 280, 5479, 585, 519, 476, 1708, 274, 270, 2190, 2883, 1032, 269, 901, 568, 711, 519, 1101, 6578, 2759, 547, 7486, 7616, 713, 1032, 282, 513, 476, 271, 269, 275, 260, 2759, 729, 2907, 1500, 2509, 713, 9886, 538, 5988, 563, 763, 9962, 2796, 454, 1607, 6578, 2759, 2501, 538, 519, 2796, 540, 1761, 4389, 5007, 7616, 689, 938, 11095, 4891, 585, 938, 7486, 3210, 543, 568, 9648, 5103, 8037, 9620, 547, 1205, 2614, 1004, 2713, 609, 7486, 593, 2126, 269, 634, 2759, 849, 4386, 538, 519, 2796, 540, 824, 7372, 20214, 547, 3782, 602, 2417, 1526, 1778, 2200, 2139, 547, 3927, 2232, 7486, 998, 519, 1857, 1072, 1062, 269, 1280, 1383, 267, 7616, 585, 3782, 5989, 814, 1044, 2759, 676, 681, 24496, 2929, 630, 320, 476, 276, 269, 273, 260, 22194, 2759, 689, 681, 279, 269, 7918, 5479, 547, 681, 279, 269, 1015, 5479, 264, 5103, 5989, 1394, 8421, 338, 630, 31642, 1881, 693, 681, 1220, 5479, 1040, 1306, 519, 5748, 585, 2298, 3782, 267, 1072, 5989, 568, 513, 32563, 585, 2500, 6765, 540, 7486, 1416, 563, 12234, 267, 7486, 7616, 11912, 616, 711, 11658, 547, 519, 1857, 3782, 1062, 269, 634, 6578, 585, 519, 7486, 25266, 5020, 10341, 16827, 267, 799, 568, 1031, 547, 1683, 4638, 2069, 630, 31860, 593, 7486, 1070, 849, 814, 513, 6069, 2759, 269, 901, 1034, 2487, 11556, 3029, 851, 540, 513, 7678, 540, 10565, 1793, 10449, 547, 519, 9886, 2094, 476, 1708, 271, 563, 8256, 18790, 519, 27313, 14259, 1076, 1764, 602, 4598, 547, 3102, 4638, 2069, 814, 593, 4227, 7486, 3968, 1981, 13745, 609, 519, 4145, 540, 519, 556, 15041, 1120, 775, 540, 7486, 25749, 602, 27938, 7486, 6604, 3646, 543, 1303, 3402, 16663, 267, 2417, 5969, 519, 9886, 27938, 519, 2182, 2914, 517, 12374, 649, 723, 1500, 543, 666, 1118, 4724, 20408, 713, 15435, 269, 634, 3510, 568, 3226, 7282, 538, 1769, 540, 1970, 598, 3256, 946, 1851, 1004, 9907, 476, 1428, 547, 476, 2190, 563, 763, 575, 25311, 5222, 540, 6578, 11912, 454, 15987, 891, 6578, 11912, 1764, 519, 1072, 1062, 779, 2702, 547, 1683, 2298, 7486, 1416, 547, 782, 540, 519, 6059, 476, 278, 269, 279, 2929, 1004, 2713, 609, 7486, 267, 21376, 4008, 1894, 723, 8507, 538, 1762, 2021, 538, 519, 2197, 1107, 3226, 1346, 538, 6917, 543, 9207, 5703, 2950, 1107, 12946, 519, 6574, 7486, 11411, 269, 11569, 267, 1256, 693, 519, 1699, 7616, 1377, 267, 2687, 547, 519, 2229, 267, 476, 272, 476, 4968, 530, 558, 343, 333, 1063, 519, 6502, 540, 476, 1428, 543, 476, 2190, 616, 9241, 7783, 609, 7486, 1169, 3018, 563, 306, 665, 1470, 20300, 2188, 971, 607, 22266, 9979, 540, 6710, 543, 4638, 6057, 22009, 713, 1981, 269, 13834, 8635, 814, 1044, 1336, 547, 2333, 3968, 3928, 1247, 849, 4617, 2287, 519, 2702, 540, 530, 558, 343, 333, 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 ]
[ 476, 1911, 270, 2568, 815, 476, 2004, 692, 763, 1297, 540, 476, 276, 335, 11113, 815, 476, 274, 1535, 476, 2004, 815, 476, 5611, 692, 17798, 267, 519, 2626, 568, 630, 274, 264, 476, 5611, 780, 2304, 3120, 326, 631, 880, 571, 7905, 5775, 26833, 593, 476, 1724, 628, 4873, 476, 1001, 276, 269, 0, 258, 13174, 692, 14006, 539, 676, 593, 16317, 6577, 7631, 1807, 540, 513, 6824, 568, 476, 272, 811, 982, 922, 19362, 269, 519, 6824, 6971, 547, 835, 8772, 950, 19362, 568, 4389, 676, 476, 273, 543, 14009, 568, 2799, 676, 476, 274, 269, 1265, 519, 1297, 692, 1892, 13174, 910, 2073, 692, 7775, 1456, 531, 6824, 476, 955, 1535, 14370, 343, 266, 272, 2020, 2908, 1267, 1384, 3287, 268, 273, 19422, 343, 266, 275, 264, 815, 476, 272, 270, 275, 454, 29589, 2173, 738, 17586, 454, 275, 343, 910, 476, 279, 815, 1535, 266, 275, 454, 274, 343, 815, 476, 1321, 454, 343, 815, 476, 275, 692, 13092, 6824, 476, 955, 268, 476, 275, 270, 276, 692, 13765, 912, 2908, 6824, 10778, 263, 275, 268, 273, 19422, 276, 266, 274, 264, 815, 476, 273, 270, 279, 454, 6518, 568, 476, 272, 270, 275, 0, 258, 1133, 3202, 11346, 692, 1103, 6198, 2079, 267, 513, 1770, 776, 11346, 568, 513, 1147, 11187, 22112, 11346, 593, 513, 23664, 6975, 2230, 602, 28933, 519, 6418, 1587, 269, 1133, 3202, 12427, 616, 2356, 3144, 607, 5665, 593, 513, 23664, 6975, 2230, 267, 855, 519, 1482, 10206, 5713, 547, 5581, 519, 1523, 540, 568, 31532, 1063, 23664, 6975, 5624, 780, 288, 1770, 776, 3693, 568, 513, 31633, 540, 513, 1770, 776, 11346, 269, 769, 513, 796, 1388, 7223, 267, 606, 3693, 772, 540, 519, 7223, 568, 1572, 513, 1770, 776, 3693, 952, 772, 265, 308, 815, 772, 308, 265, 815, 594, 267, 1141, 594, 568, 519, 3961, 3693, 16804, 272, 6540, 1012, 9502, 692, 14240, 476, 272, 269, 589, 1770, 776, 11346, 568, 513, 22112, 5276, 11346, 772, 1109, 281, 670, 295, 593, 513, 23664, 6975, 2230, 670, 602, 25389, 772, 265, 308, 815, 772, 308, 265, 815, 594, 267, 1141, 772, 265, 568, 519, 7755, 2002, 540, 772, 267, 543, 594, 1109, 281, 670, 295, 568, 519, 3961, 11346, 780, 763, 21260, 2783, 772, 265, 308, 815, 594, 11225, 606, 568, 5852, 269, 634, 824, 2783, 267, 772, 308, 265, 815, 594, 267, 11225, 513, 1071, 529, 5852, 269, 4935, 513, 1770, 776, 11346, 568, 513, 22112, 5276, 11346, 799, 568, 1312, 606, 568, 5852, 543, 513, 1071, 529, 5852, 267, 314, 273, 316, 610, 267, 5973, 1836, 267, 513, 1147, 11187, 568, 5852, 16804, 274, 6540, 2304, 6697, 4214, 568, 519, 1739, 1384, 14240, 476, 273, 269, 589, 1770, 776, 11346, 568, 513, 22112, 5276, 11346, 772, 1109, 281, 670, 295, 593, 513, 23664, 6975, 2230, 670, 585, 799, 519, 1739, 3180, 1384, 1892, 772, 568, 1147, 11187, 267, 543, 454, 1892, 772, 28933, 519, 6418, 1587, 540, 519, 23664, 6975, 2230, 267, 670, 269, 769, 824, 1913, 267, 585, 782, 10321, 1535, 543, 586, 538, 670, 649, 723, 912, 21851, 6234, 1422, 30848, 772, 343, 267, 308, 344, 315, 26917, 23214, 295, 18098, 30848, 1535, 11971, 315, 26917, 23214, 295, 20467, 10592, 763, 10206, 540, 568, 31532, 538, 519, 7121, 540, 23664, 6975, 5624, 568, 9676, 952, 6389, 543, 2039, 616, 4847, 547, 8428, 538, 713, 4214, 269, 1772, 2210, 1845, 8190, 595, 879, 16408, 9696, 267, 8754, 519, 1264, 28467, 3959, 540, 23664, 6975, 5624, 568, 12873, 314, 275, 6540, 763, 1739, 267, 9583, 21260, 267, 4214, 568, 849, 6697, 1384, 14240, 476, 274, 269, 589, 1770, 776, 11346, 568, 513, 22112, 5276, 11346, 772, 1109, 281, 670, 295, 593, 513, 23664, 6975, 2230, 670, 585, 799, 519, 1739, 3180, 1384, 1892, 519, 2039, 540, 772, 568, 10053, 538, 670, 267, 543, 454, 1892, 772, 28933, 519, 6418, 1587, 540, 519, 23664, 6975, 2230, 267, 670, 269, 769, 824, 1913, 267, 585, 782, 10321, 1535, 543, 586, 538, 670, 649, 723, 912, 21851, 6234, 1422, 30848, 772, 343, 267, 308, 344, 315, 26917, 23214, 295, 18098, 30848, 1535, 11971, 315, 26917, 23214, 295, 20467, 10592, 2414, 1294, 602, 26479, 476, 272, 1299, 476, 274, 616, 6697, 267, 5469, 602, 772, 8497, 519, 6418, 1587, 10522, 772, 568, 606, 568, 5852, 630, 28387, 267, 513, 22112, 5276, 11346, 1040, 634, 1249, 602, 772, 814, 10053, 2039, 5849, 621, 814, 513, 22112, 11201, 772, 6629, 272, 269, 898, 568, 2312, 602, 772, 6629, 272, 815, 772, 265, 780, 13295, 267, 1770, 776, 12427, 616, 1175, 3678, 6973, 3359, 540, 23664, 6975, 5624, 267, 1775, 4318, 1421, 789, 8190, 519, 2497, 630, 1492, 5276, 2230, 2497, 267, 519, 6418, 1587, 267, 543, 8754, 519, 23289, 264, 540, 519, 2230, 593, 799, 789, 957, 269, 634, 1895, 540, 782, 1770, 776, 12427, 689, 513, 2016, 23664, 6975, 2230, 670, 547, 3294, 568, 3006, 5219, 547, 607, 519, 23664, 6975, 1895, 540, 670, 267, 20922, 23664, 321, 263, 295, 264, 610, 772, 263, 295, 6393, 1012, 6201, 692, 1892, 634, 3961, 1599, 568, 959, 643, 6053, 513, 1770, 776, 11346, 563, 1892, 15585, 725, 538, 681, 273, 616, 519, 14724, 1875, 13700, 20190, 1383, 540, 1770, 776, 12427, 269, 15585, 725, 798, 711, 1689, 519, 3259, 540, 513, 6152, 610, 519, 5086, 1063, 1079, 10321, 269, 901, 1383, 666, 581, 9450, 547, 681, 274, 563, 1892, 2201, 519, 6152, 2230, 595, 540, 1950, 2338, 267, 8691, 676, 513, 1297, 540, 6207, 1871, 476, 272, 267, 602, 568, 267, 513, 1297, 540, 519, 1106, 552, 585, 16564, 305, 267, 568, 513, 1770, 776, 11346, 269, 16564, 568, 5219, 547, 607, 513, 5123, 267, 543, 713, 8691, 568, 5219, 547, 607, 8691, 676, 513, 5123, 269, 18564, 602, 519, 1871, 540, 16564, 1110, 25222, 476, 273, 11027, 1281, 711, 1860, 519, 1267, 540, 519, 8691, 267, 543, 865, 519, 4830, 1770, 776, 12427, 593, 595, 616, 4164, 564, 686, 7458, 676, 513, 5858, 269, 634, 7222, 1895, 267, 799, 267, 607, 513, 1305, 267, 568, 519, 5858, 267, 568, 1572, 772, 263, 272, 1916, 1892, 2859, 3622, 267, 1770, 776, 14290, 616, 10502, 519, 1770, 776, 12427, 593, 13113, 8820, 23664, 6975, 5624, 267, 865, 519, 10206, 540, 513, 1770, 776, 11346, 568, 513, 31633, 540, 519, 10206, 540, 513, 1770, 776, 5119, 269, 13106, 23585, 14290, 616, 519, 2027, 2013, 540, 1770, 776, 14290, 538, 799, 782, 13366, 616, 1483, 269, 1358, 616, 519, 1770, 776, 12427, 593, 681, 333, 563, 1892, 634, 24845, 6521, 593, 519, 5311, 2230, 476, 273, 4994, 539, 676, 519, 9981, 568, 1770, 776, 269, 769, 2489, 267, 1022, 11346, 538, 513, 23664, 6975, 2230, 799, 6411, 676, 7989, 5024, 606, 9647, 517, 5436, 4493, 568, 1770, 776, 269, 769, 519, 13113, 21021, 2013, 267, 971, 12427, 616, 519, 32089, 14290, 563, 1892, 634, 796, 10561, 6521, 630, 2431, 6521, 264, 568, 606, 568, 5852, 282, 922, 31669, 630, 3847, 6521, 264, 568, 513, 1071, 529, 5852, 563, 1892, 634, 22263, 11346, 568, 513, 1770, 776, 11346, 267, 1775, 4318, 269, 519, 11346, 799, 15824, 519, 22263, 2981, 630, 5976, 1697, 3339, 1436, 1040, 901, 5205, 689, 3474, 572, 1998, 781, 11532, 563, 1892, 1133, 3202, 12427, 616, 1031, 538, 1770, 776, 11269, 563, 1892, 17747, 7954, 19235, 616, 1770, 776, 12427, 269, 3502, 782, 19235, 616, 19555, 23790, 780, 1012, 7412, 10846, 692, 763, 5276, 640, 10421, 538, 519, 4214, 540, 513, 1770, 776, 11346, 666, 581, 12628, 1510, 4657, 519, 2495, 1317, 621, 666, 581, 6508, 689, 5276, 640, 543, 2318, 12413, 8181, 8864, 540, 519, 22185, 1587, 1384, 3189, 6234, 11513, 8218, 25410, 4153, 24689, 14433, 772, 3287, 9984, 308, 7268, 14433, 1535, 9385, 347, 3867, 273, 31905, 7807, 30848, 1422, 14433, 772, 3287, 9984, 308, 7268, 14433, 1535, 1070, 315, 14433, 772, 3287, 9984, 308, 7268, 14433, 1535, 9385, 26917, 8607, 261, 7807, 24689, 14433, 772, 3287, 9385, 347, 3867, 273, 23180, 347, 308, 7268, 14433, 1535, 9385, 347, 3867, 273, 32757, 30848, 772, 7268, 14433, 1535, 1070, 315, 14433, 772, 3287, 9385, 26917, 28363, 30848, 1422, 14433, 772, 3287, 1070, 308, 7268, 14433, 1535, 9385, 26917, 8607, 261, 284, 24689, 14433, 1923, 3867, 273, 4153, 347, 308, 3287, 9385, 347, 3867, 273, 23180, 347, 308, 7268, 14433, 1535, 9385, 347, 3867, 273, 18511, 3189, 28235, 11513, 14433, 476, 14990, 30848, 772, 7268, 14433, 1535, 1070, 308, 3287, 9385, 26917, 28363, 14433, 1422, 30848, 772, 3287, 1070, 308, 7268, 14433, 1535, 9385, 26917, 8607, 261, 284, 24689, 14433, 1923, 3867, 273, 4153, 347, 343, 315, 347, 3867, 273, 23180, 24689, 14433, 1535, 315, 347, 3867, 273, 18511, 3189, 28235, 11513, 14433, 476, 14990, 30848, 1422, 14433, 1535, 21726, 315, 26917, 28363, 14433, 1422, 30848, 1535, 12101, 14433, 1535, 315, 26917, 8607, 261, 284, 271, 17910, 25410, 3686, 10926, 2304, 11530, 3585, 596, 3489, 692, 21851, 6234, 1422, 347, 308, 3287, 20742, 9984, 263, 308, 343, 266, 308, 344, 9385, 347, 284, 271, 269, 10592, 1012, 16544, 692, 1892, 634, 8552, 540, 513, 1770, 776, 11346, 772, 6013, 593, 519, 1770, 5858, 269, 2334, 568, 267, 585, 1022, 1950, 1297, 18494, 538, 519, 8552, 267, 835, 814, 1923, 16575, 347, 815, 476, 272, 269, 901, 666, 581, 2938, 607, 513, 12343, 540, 519, 19706, 11532, 585, 3339, 12427, 269, 1635, 519, 11532, 267, 772, 568, 1770, 3320, 6697, 547, 8691, 676, 513, 645, 648, 331, 24578, 553, 9092, 535, 593, 700, 273, 263, 19031, 1070, 585, 930, 13113, 2268, 2230, 630, 311, 267, 13179, 1040, 3767, 772, 308, 265, 815, 594, 10522, 1923, 325, 3287, 31206, 273, 815, 476, 272, 267, 13179, 8584, 4318, 269, 901, 2982, 602, 519, 1898, 2039, 540, 535, 267, 4061, 519, 8552, 540, 772, 267, 6013, 593, 519, 1770, 5858, 563, 1892, 589, 5276, 4786, 568, 1770, 776, 952, 621, 568, 1147, 11187, 543, 568, 6248, 269, 630, 8196, 21069, 1436, 3961, 547, 1397, 519, 1152, 952, 851, 4700, 0, 258, 2271, 2946, 326, 1537, 540, 19469, 3892, 1599, 543, 519, 5860, 1599, 692, 4131, 6695, 4942, 328, 281, 1422, 13992, 23334, 348, 1422, 1729, 1422, 13992, 23334, 6525, 581, 519, 19469, 3892, 1599, 540, 513, 3044, 3339, 4756, 3230, 301, 263, 271, 267, 272, 14638, 543, 6695, 12978, 281, 1422, 13992, 23334, 348, 1422, 1729, 1422, 13992, 23334, 6525, 581, 922, 5860, 1599, 269, 594, 993, 5461, 538, 10442, 519, 1739, 7533, 692, 11377, 842, 3709, 271, 23685, 13727, 348, 1422, 4942, 328, 3287, 264, 1422, 12978, 3287, 264, 22773, 15848, 269, 9681, 9616, 602, 952, 519, 7533, 568, 4957, 547, 6695, 842, 18155, 13992, 23334, 3686, 1422, 4942, 328, 3287, 264, 1422, 12978, 3287, 264, 22773, 11459, 18079, 1287, 676, 1210, 519, 5013, 602, 6695, 4942, 328, 268, 1422, 2765, 346, 272, 2410, 273, 6525, 568, 606, 9642, 1599, 543, 602, 6695, 12978, 2330, 568, 606, 1256, 1599, 10484, 11377, 8218, 346, 18091, 333, 6783, 348, 1422, 842, 18155, 13992, 23334, 3686, 1422, 4942, 328, 3287, 264, 1422, 12978, 3287, 264, 22773, 11459, 1299, 815, 1299, 1422, 842, 18155, 13992, 23334, 3686, 1422, 19136, 263, 1422, 4942, 328, 3287, 9984, 1422, 2765, 346, 272, 2410, 273, 348, 1422, 19136, 264, 1422, 12978, 3287, 264, 22773, 15848, 1341, 1422, 2765, 346, 272, 2410, 273, 348, 8607, 1299, 815, 1299, 1422, 2765, 346, 272, 2410, 273, 20467, 1422, 754, 346, 18091, 333, 6783, 15732, 4913, 267, 713, 8945, 1281, 711, 960, 538, 713, 2013, 950, 519, 7182, 540, 5610, 616, 3230, 271, 2330, 547, 6695, 13727, 21974, 16949, 676, 18839, 630, 6748, 3230, 340, 15871, 343, 2330, 264, 1281, 711, 960, 2901, 269, 7102, 2093, 2496, 4504, 30698, 569, 267, 519, 2626, 1058, 581, 6695, 2765, 346, 272, 2410, 275, 6525, 267, 676, 930, 2186, 540, 15340, 269, 1809, 594, 666, 1406, 1397, 621, 780, 1012, 476, 272, 8382, 692, 30860, 602, 6695, 12978, 3287, 264, 815, 1422, 4942, 328, 17353, 18905, 12917, 343, 14638, 269, 4935, 952, 649, 1118, 519, 18839, 3230, 340, 815, 1422, 4942, 328, 3287, 14638, 267, 649, 1205, 602, 6695, 9507, 18097, 348, 340, 815, 1422, 12978, 3287, 9385, 9507, 18097, 26507, 21974, 4595, 6695, 4942, 328, 263, 271, 264, 815, 476, 271, 269, 276, 2330, 543, 6695, 4942, 328, 7268, 13727, 264, 815, 476, 272, 18079, 649, 1205, 1422, 8218, 9387, 15857, 1422, 842, 3709, 271, 23685, 13727, 4153, 4942, 328 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 581, 5129, 593, 513, 16979, 610, 2780, 16638, 16602, 2262, 6780, 2363, 12028, 1840, 547, 7792, 4484, 543, 2262, 6486, 267, 594, 786, 849, 581, 4946, 7792, 3756, 267, 7132, 3450, 2093, 267, 2238, 543, 6402, 547, 16707, 543, 16319, 3756, 799, 596, 666, 946, 593, 5904, 610, 593, 607, 7317, 3043, 4580, 2238, 20136, 786, 5512, 707, 1126, 547, 23590, 741, 4992, 543, 16602, 1913, 689, 5123, 476, 273, 543, 476, 274, 10611, 539, 1913, 616, 1913, 602, 666, 711, 581, 32131, 856, 543, 4061, 723, 547, 581, 19927, 6993, 1777, 778, 513, 1957, 743, 760, 547, 1142, 3165, 269, 5472, 596, 991, 585, 713, 568, 18061, 540, 6266, 540, 16602, 2262, 6486, 2529, 25630, 547, 519, 2757, 5428, 3014, 267, 585, 713, 3014, 1747, 8726, 16602, 1913, 596, 6999, 3330, 606, 23508, 23130, 18001, 476, 275, 16602, 2262, 18551, 3014, 666, 1250, 661, 312, 12396, 1453, 1404, 286, 18439, 811, 982, 476, 1015, 267, 1822, 1412, 307, 4459, 344, 9293, 18001, 476, 274, 8018, 262, 2200, 585, 3610, 267, 3237, 543, 10453, 20136, 568, 1813, 547, 873, 2348, 1950, 29745, 602, 1331, 1178, 335, 1335, 525, 789, 949, 711, 2943, 1174, 8160, 2120, 532, 519, 10259, 540, 1455, 1913, 1031, 538, 519, 2296, 1893, 786, 1489, 1053, 538, 741, 1565, 538, 519, 2104, 607, 1134, 11822, 570, 4459, 344, 9293, 11242, 585, 5851, 4804, 563, 17504, 6780, 2363, 12028, 16602, 454, 290, 20975, 476, 1911, 271, 630, 663, 2810, 264, 1164, 2298, 7216, 13012, 2200, 267, 4058, 17074, 543, 16540, 2093, 585, 8476, 4058, 2813, 676, 7216, 13012, 20226, 6185, 622, 5675, 16602, 1913, 585, 519, 7690, 8609, 13034, 27626, 1453, 4487, 519, 16082, 540, 519, 2296, 1893, 609, 713, 3078, 2039, 540, 16602, 1913, 2200, 269, 8110, 2739, 585, 21200, 13460, 267, 596, 3513, 1265, 513, 2039, 540, 3584, 543, 10525, 547, 948, 8300, 707, 1762, 3988, 543, 948, 873, 4487, 741, 16602, 1913, 570, 4459, 344, 6478, 10426, 634, 3474, 4897, 269, 4131, 1562, 543, 16319, 5036, 856, 1164, 23151, 1913, 630, 10175, 16602, 1913, 264, 547, 581, 6026, 1369, 1142, 5123, 7490, 13384, 528, 803, 543, 1489, 1250, 960, 676, 4742, 513, 4793, 1258, 8627, 20055, 1453, 4487, 519, 16082, 540, 519, 2296, 1893, 609, 713, 3078, 2039, 540, 16602, 1913, 2200, 11053, 4459, 344, 1913, 616, 1572, 1455, 9868, 1913, 538, 519, 23794, 272, 10259, 6437, 7490, 13384, 528, 803, 543, 1489, 1250, 960, 676, 4742, 513, 4793, 1258, 8627, 1103, 519, 7216, 13012, 7690, 8609, 630, 292, 312, 12396, 1070, 519, 1445, 11148, 547, 581, 593, 4400, 6363, 15968, 9293, 630, 295, 293, 310, 264, 543, 2241, 2048, 339, 4459, 344, 685, 1913, 602, 798, 711, 1246, 2757, 13093, 2045, 10259, 3270, 269, 2467, 616, 1100, 1412, 339, 4459, 344, 1913, 262, 1498, 267, 1175, 1913, 609, 513, 16602, 851, 267, 1775, 10200, 1284, 723, 6192, 5123, 476, 273, 543, 5123, 476, 274, 4992, 543, 16602, 1913, 10422, 4202, 3756, 267, 899, 713, 835, 267, 616, 1360, 13561, 585, 2847, 2358, 2352, 3584, 20136, 3018, 649, 723, 5189, 513, 1007, 16602, 2262, 2048, 338, 4660, 9957, 2690, 1383, 267, 519, 2262, 2048, 338, 4660, 685, 568, 711, 1224, 676, 3280, 532, 856, 519, 2048, 320, 262, 543, 2048, 328, 685, 4992, 14384, 10812, 811, 982, 476, 1015, 267, 1822, 1412, 307, 4459, 344, 9293, 18001, 476, 274, 8018, 262, 2200, 585, 3610, 267, 3237, 543, 10453, 2529, 2465, 952, 707, 1453, 21028, 519, 1114, 2699, 1913, 543, 666, 789, 946, 873, 950, 1603, 5220, 634, 1101, 16602, 2262, 786, 2408, 269, 9202, 267, 707, 1126, 16137, 547, 11963, 891, 16602, 1913, 865, 789, 666, 1847, 5196, 1603, 5220, 6480, 26305, 661, 312, 12396, 1107, 14581, 269, 4467, 17320, 1868, 270, 19651, 270, 15105, 2173, 22389, 268, 275, 13425, 856, 5861, 5585, 519, 18389, 543, 519, 2262, 543, 15529, 14897, 267, 4712, 585, 596, 547, 4945, 593, 519, 9059, 11058, 1586, 1912, 1162, 476, 273, 268, 276, 570, 4459, 344, 9293, 8274, 10794, 630, 306, 289, 7597, 278, 280, 264, 11822, 7792, 4604, 3756, 1141, 1453, 5066, 513, 5884, 547, 1847, 2066, 519, 4604, 269, 4467, 270, 22977, 545, 874, 9582, 10674, 2517, 788, 545, 874, 9582, 20136, 568, 1317, 891, 7317, 3756, 9192, 1390, 1966, 9010, 29863, 609, 606, 4277, 6249, 547, 1711, 513, 1360, 6225, 7868, 3280, 1319, 2630, 2982, 782, 540, 519, 4992, 543, 16602, 1913, 649, 723, 4988, 865, 2484, 15660, 4126, 602, 2576, 9060, 621, 3730, 6148, 547, 2196, 7258, 3339, 1912, 9582, 12020, 2433, 1040, 12812, 1934, 547, 1413, 693, 938, 2898, 4015, 540, 11473, 16497, 269, 15037, 476, 2764, 267, 476, 1708, 271, 910, 2038, 344, 8986, 577, 2086, 687, 19257, 2928, 16602, 2262, 2534, 9462, 502, 488, 1948, 5674, 12028, 1948, 339, 4459, 344, 6919, 1948, 874, 9582, 269, 19530, 891, 856, 543, 22495, 622, 873, 269, 7021, 476, 4968, 9293, 547, 2422, 5502, 540, 590, 4660, 11053, 4459, 344, 9293, 1107, 849, 1572, 12150, 267, 1164, 23151, 1913, 1107, 616, 2182, 3562, 22345, 1913, 799, 1419, 2049, 538, 2038, 1453, 779, 2835, 269, 2080, 568, 930, 4058, 585, 3450, 16602, 1913, 269, 4942, 848, 476, 273, 18001, 476, 274, 5871, 9868, 570, 4459, 344, 2262, 29167, 543, 8755, 6486, 661, 312, 12396, 5729, 476, 272, 16707, 1299, 16319, 10422, 4631, 4358, 689, 4400, 3427, 910, 5441, 910, 1269, 269, 2467, 568, 513, 4216, 547, 2594, 741, 9193, 543, 513, 4216, 547, 2328, 741, 2626, 1310, 10203, 547, 2638, 14581, 538, 10812, 3464, 9142, 630, 292, 312, 12396, 264, 5851, 1565, 585, 10812, 3464, 9142, 3217, 519, 1106, 540, 513, 5851, 4804, 17714, 269, 7093, 335, 1563, 4976, 16602, 2262, 6780, 2363, 12028, 476, 272, 543, 5423, 4976, 476, 273, 9612, 762, 3135, 540, 5215, 540, 2298, 3450, 2200, 267, 7317, 2200, 267, 6780, 267, 981, 543, 14469, 948, 7868, 3756, 616, 1360, 3730, 585, 6780, 543, 2673, 547, 519, 943, 4577, 5496, 15660, 723, 6026, 1614, 4374, 540, 16602, 1913, 1354, 3001, 5196, 18001, 476, 273, 1912, 9582, 269, 8110, 2739, 585, 21200, 13460, 267, 596, 3513, 1265, 513, 2039, 540, 3584, 543, 10525, 547, 948, 8300, 707, 1762, 3988, 543, 948, 873, 4487, 741, 16602, 1913, 2368, 1913, 616, 838, 3881, 7157, 543, 1866, 616, 13093, 13443, 26363, 269, 278, 1315, 476, 276, 1759, 593, 476, 21709, 280, 2875, 8039, 570, 4459, 344, 6478, 14581, 29431, 12028, 1284, 2661, 538, 513, 5108, 13296, 2298, 2533, 1611, 570, 4459, 344, 6478, 14581, 29431, 12028, 1164, 3028, 1942, 7868, 3280, 1319, 2630, 2982, 782, 540, 519, 4992, 543, 16602, 1913, 649, 16602, 2262, 6780, 2363, 12028, 723, 4988, 865, 2484, 269, 4322, 666, 581, 2944, 693, 1153, 610, 3144, 1753, 585, 6780, 269, 2467, 568, 513, 18376, 4528, 609, 1806, 540, 519, 1913, 538, 5220, 543, 849, 513, 3730, 5985, 4528, 540, 519, 3135, 269, 0, 27026, 4518, 3778, 454, 23077, 296, 3095, 585, 6828, 4518, 3778, 454, 27026, 4518, 3778, 1433, 454, 763, 10661, 540, 8041, 543, 519, 4720, 540, 1514, 1895, 960, 267, 1247, 711, 24190, 267, 8057, 909, 1303, 342, 1441, 609, 835, 1776, 269, 634, 8129, 540, 1895, 960, 538, 4516, 9114, 538, 1079, 1514, 9259, 540, 519, 3735, 476, 866, 628, 543, 2038, 476, 736, 628, 5553, 281, 519, 4317, 20227, 3350, 543, 519, 11175, 3350, 269, 0, 763, 1650, 540, 9478, 538, 519, 6196, 11620, 568, 835, 602, 814, 1044, 5559, 520, 1242, 1082, 2053, 676, 519, 9913, 2872, 267, 1312, 593, 5496, 543, 593, 16340, 3118, 269, 3571, 1650, 568, 519, 6264, 4367, 547, 519, 1686, 540, 5840, 607, 621, 12211, 547, 741, 6125, 720, 538, 5527, 269, 1717, 267, 1010, 1650, 849, 5713, 607, 606, 1383, 547, 10271, 540, 2696, 779, 5132, 6888, 543, 938, 10912, 547, 11886, 2696, 779, 3483, 585, 721, 1100, 2339, 1018, 519, 25896, 563, 297, 24944, 779, 2038, 1272, 630, 7049, 8412, 476, 4391, 994, 297, 24944, 729, 4535, 519, 476, 1556, 628, 540, 476, 1321, 14930, 547, 1010, 4651, 15243, 1547, 1261, 729, 849, 519, 1101, 4535, 540, 1010, 3993, 24981, 267, 7247, 1010, 4651, 6068, 811, 982, 1022, 540, 1010, 24726, 543, 1500, 9478, 15243, 779, 5172, 5067, 630, 7049, 8412, 476, 3066, 268, 1789, 281, 2190, 282, 19606, 476, 4391, 281, 272, 268, 275, 1040, 1306, 15243, 779, 5172, 5067, 267, 646, 4607, 689, 1010, 4651, 513, 10359, 540, 1082, 4778, 267, 799, 1500, 1010, 14552, 23279, 547, 519, 1448, 540, 554, 908, 1864, 543, 789, 1131, 711, 3717, 547, 1864, 563, 3528, 2085, 476, 1704, 267, 9478, 2919, 513, 4356, 540, 838, 3539, 593, 1010, 14552, 543, 8989, 1394, 547, 1010, 4651, 1018, 789, 941, 3257, 1247, 789, 22157, 547, 519, 1920, 1166, 4169, 269, 901, 1152, 3773, 547, 741, 1918, 13920, 4724, 1864, 269, 8616, 267, 5103, 519, 3395, 678, 3424, 1063, 9478, 543, 1010, 14552, 267, 646, 5143, 873, 540, 513, 5326, 646, 1185, 799, 1500, 873, 13842, 1864, 1256, 811, 563, 1103, 9478, 779, 1101, 5326, 267, 646, 729, 2324, 538, 519, 2361, 11006, 1352, 2314, 540, 10568, 609, 1010, 14552, 269, 3571, 1352, 2378, 11542, 20005, 543, 741, 1352, 2314, 6367, 539, 547, 1010, 269, 1879, 646, 5143, 1010, 14552, 267, 789, 941, 14220, 609, 1864, 269, 9478, 1185, 513, 2034, 5326, 1141, 519, 3141, 267, 7599, 267, 543, 476, 1556, 6801, 6367, 539, 547, 1864, 543, 646, 729, 2656, 547, 2671, 713, 5326, 609, 1010, 14552, 543, 1010, 4651, 269, 2991, 10213, 1010, 14552, 543, 4651, 267, 1010, 4651, 20402, 1864, 267, 6998, 952, 646, 543, 9478, 779, 3993, 2059, 609, 1010, 14552, 1131, 2097, 547, 6367, 1524, 547, 1864, 269, 2755, 1010, 14552, 26195, 1221, 9478, 267, 1010, 4651, 7074, 1018, 9478, 1185, 5143, 1864, 563, 763, 1650, 4797, 609, 9478, 779, 14552, 2469, 1055, 547, 3049, 519, 1166, 4169, 269, 3571, 4651, 5143, 1864, 547, 979, 1294, 875, 1010, 14552, 941, 3257, 543, 2097, 1394, 609, 513, 1867, 269, 9478, 1305, 856, 547, 1265, 1010, 14552, 543, 5555, 1336, 873, 827, 476, 2004, 5195, 5087, 540, 1753, 269, 1879, 646, 14059, 1010, 14552, 267, 789, 26558, 1176, 1500, 513, 1544, 547, 6146, 1864, 543, 19184, 1864, 883, 513, 7404, 1216, 1652, 8486, 269, 634, 9510, 7015, 267, 1234, 889, 523, 267, 2705, 267, 1293, 1229, 741, 1544, 676, 10213, 873, 602, 789, 1131, 711, 6146, 1864, 267, 855, 1152, 2322, 1864, 883, 519, 8486, 267, 1287, 1491, 1864, 1394, 547, 741, 4651, 2663, 563, 763, 14552, 8815, 543, 3576, 9478, 267, 4174, 5529, 1864, 540, 1010, 10359, 267, 543, 28520, 1864, 883, 519, 8486, 269, 898, 729, 1287, 6700, 676, 28311, 602, 789, 3079, 6133, 741, 7015, 547, 606, 16042, 1286, 24170, 269, 634, 14552, 8815, 543, 789, 4421, 9478, 585, 8938, 4773, 540, 8988, 269, 634, 1286, 24170, 3576, 9478, 547, 5527, 543, 4421, 1864, 547, 8000, 760, 9618, 267, 606, 11464, 540, 31279, 269, 9478, 779, 14552, 8120, 1753, 543, 2813, 606, 14969, 1650, 540, 875, 9478, 729, 7166, 543, 13881, 676, 606, 3662, 269, 901, 1500, 741, 4651, 15243, 865, 2295, 15842, 5287, 267, 646, 4682, 883, 2620, 4965, 563, 297, 24944, 779, 21981, 630, 7049, 8412, 476, 4375, 268, 2004, 994, 1103, 5527, 267, 8000, 760, 9618, 8655, 9478, 547, 581, 513, 22700, 538, 1010, 2777, 269, 8000, 760, 9618, 3533, 4718, 602, 519, 7083, 729, 609, 9478, 543, 3388, 605, 4944, 1229, 896, 1010, 1688, 269, 8000, 760, 9618, 2322, 9478, 538, 5279, 540, 1010, 3003, 2777, 267, 799, 8507, 538, 8000, 760, 9618, 779, 3003, 10040, 1373, 25552, 269, 1717, 267, 8000, 760, 9618, 779, 7385, 6836, 547, 723, 606, 26035, 609, 9478, 269, 1261, 5706, 539, 1200, 543, 6045, 602, 646, 1223, 711, 798, 971, 513, 29063, 3364, 563, 3080, 1554, 789, 941, 4805, 538, 519, 2777, 1927, 543, 1352, 1586, 29739, 602, 646, 723, 606, 26035, 609, 1200, 269, 9478, 10443, 856, 540, 519, 2777, 267, 855, 711, 1354, 1352, 1185, 10544, 5523, 513, 4062, 540, 1010, 7802, 269, 8000, 760, 9618, 779, 7385, 267, 1373, 15653, 267, 1572, 585, 948, 543, 5143, 513, 9114, 602, 9478, 1185, 6836, 547, 22149, 1200, 543, 19679, 269, 2701, 2663, 1427, 1245, 519, 9114, 547, 8000, 760, 9618, 543, 646, 1185, 9478, 2366, 547, 7890, 563, 1103, 7890, 267, 519, 7890, 1183, 4177, 849, 4718, 602, 519, 7083, 729, 609, 9478, 543, 646, 2322, 9478, 538, 5279, 540, 519, 7890, 269, 6145, 1354, 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 ]
[ 692, 288, 269, 3194, 532, 1849, 1801, 543, 2871, 3949, 454, 289, 269, 16811, 19139, 543, 5590, 1575, 454, 290, 269, 19024, 532, 11150, 454, 291, 269, 11622, 908, 609, 4033, 28968, 630, 324, 3052, 1421, 5398, 1235, 267, 8232, 994, 292, 269, 5384, 5004, 9828, 454, 293, 269, 667, 816, 8943, 543, 12333, 18264, 22761, 692, 4353, 269, 29923, 14502, 10341, 692, 288, 269, 31396, 23994, 543, 4762, 580, 15342, 454, 289, 269, 31786, 17148, 543, 10298, 454, 290, 269, 13368, 532, 543, 23531, 9828, 454, 291, 269, 10312, 6513, 543, 3493, 628, 540, 12197, 28294, 1637, 454, 292, 269, 21826, 4201, 1993, 1371, 6396, 3098, 454, 293, 269, 5403, 268, 3682, 22422, 4518, 6503, 28389, 906, 692, 309, 269, 15043, 3955, 26051, 10341, 692, 288, 269, 7335, 10610, 5678, 543, 4165, 4602, 908, 16474, 757, 454, 289, 269, 26787, 11565, 609, 13669, 550, 543, 7435, 6840, 454, 290, 269, 9442, 26505, 543, 22604, 454, 291, 269, 19484, 4762, 26555, 543, 12694, 454, 292, 269, 8490, 513, 16200, 8416, 543, 3115, 16615, 692, 9654, 269, 5890, 21505, 2659, 5800, 12859, 692, 288, 269, 17291, 19662, 543, 623, 26677, 14313, 454, 289, 269, 12861, 3281, 2454, 10439, 15881, 2510, 454, 290, 269, 21344, 20497, 5915, 1343, 609, 3203, 2065, 6715, 31772, 454, 291, 269, 30855, 4317, 9012, 543, 6732, 15107, 13257, 454, 292, 269, 8033, 5224, 4065, 543, 8682, 268, 18719, 22777, 692, 23997, 269, 8865, 5525, 543, 7464, 2622, 6201, 692, 288, 269, 5811, 540, 21988, 4414, 2961, 7065, 22411, 338, 454, 289, 269, 16497, 3231, 2740, 689, 4400, 268, 3682, 12803, 2349, 1495, 619, 454, 290, 269, 16869, 29362, 543, 12752, 21126, 454, 291, 269, 22414, 5530, 540, 7756, 7353, 4919, 26505, 454, 292, 269, 28518, 24021, 12367, 543, 21023, 532, 8892, 19648, 692, 1103, 3932, 267, 13215, 2699, 24095, 10344, 3340, 11428, 267, 2930, 6791, 267, 543, 14375, 22717, 572, 269, 1306, 2686, 5905, 18429, 267, 891, 2621, 1459, 26080, 3255, 585, 2870, 11599, 11052, 1247, 2502, 609, 9565, 5515, 269, 3414, 30190, 2259, 267, 6024, 1565, 267, 543, 7580, 13033, 267, 6932, 21706, 949, 1265, 2933, 693, 519, 21282, 540, 713, 6422, 9015, 267, 5935, 922, 18330, 543, 7700, 547, 922, 11972, 9371, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 2734, 622, 7926, 7896, 454, 4407, 649, 616, 1634, 585, 938, 9952, 543, 16805, 3860, 4648, 609, 1533, 6361, 7308, 19603, 3937, 543, 4480, 267, 649, 666, 948, 609, 513, 2603, 811, 982, 1283, 7779, 6337, 543, 3381, 269, 769, 1840, 547, 3388, 596, 1131, 2503, 689, 513, 3318, 10344, 543, 2756, 2762, 2754, 267, 649, 849, 1683, 513, 3099, 540, 2680, 543, 9913, 2533, 602, 666, 3986, 707, 1985, 9746, 2680, 610, 4123, 1397, 267, 607, 1134, 607, 1491, 519, 2566, 856, 540, 27126, 543, 27459, 2358, 3606, 21527, 269, 4586, 7712, 2621, 616, 10355, 9838, 267, 649, 2709, 1142, 7817, 519, 2688, 2126, 741, 1788, 19262, 269, 1635, 3246, 513, 27249, 2319, 540, 8666, 267, 3381, 267, 543, 2022, 1790, 3174, 12665, 267, 2059, 609, 513, 2039, 540, 1644, 2680, 543, 9913, 2533, 267, 938, 2319, 666, 13918, 1022, 2450, 15007, 267, 29519, 267, 1163, 334, 267, 5870, 267, 21895, 267, 2866, 8400, 267, 24539, 7552, 267, 610, 9746, 5428, 596, 616, 4058, 563, 2171, 616, 2141, 593, 519, 1413, 719, 585, 519, 1655, 1007, 13007, 543, 2533, 547, 1039, 547, 938, 887, 3122, 267, 865, 649, 666, 646, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16446, 2961, 7065, 22878, 257, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 23527, 1299, 21771, 1315, 18270, 640, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 2221, 781, 1158, 267, 2825, 4656, 814, 1831, 811, 2565, 982, 2479, 269, 634, 1523, 4016, 547, 938, 1620, 543, 7071, 540, 519, 2067, 1604, 602, 27788, 721, 267, 1519, 2371, 267, 2831, 267, 2244, 267, 1216, 267, 543, 2011, 269, 901, 15398, 2631, 540, 4656, 11479, 2043, 543, 2950, 547, 1491, 2962, 547, 2149, 543, 8190, 891, 10475, 2200, 269, 3414, 713, 1576, 1770, 267, 596, 786, 2263, 1585, 3344, 540, 2825, 4656, 543, 922, 4644, 538, 11174, 15923, 3332, 267, 3226, 538, 2262, 2035, 780, 20058, 267, 1577, 781, 1865, 519, 2165, 834, 321, 1675, 1751, 2437, 799, 4249, 513, 2629, 1909, 538, 2825, 4656, 269, 26085, 13315, 519, 3099, 540, 1272, 593, 3047, 31539, 6090, 547, 2249, 547, 8134, 269, 898, 4564, 519, 1950, 22524, 2570, 4293, 1063, 1114, 2713, 7103, 543, 741, 2168, 5054, 269, 10251, 267, 1480, 2238, 971, 607, 17717, 267, 5533, 267, 2916, 1689, 267, 543, 20012, 21279, 2518, 9265, 693, 606, 13778, 2557, 269, 18964, 1762, 3988, 547, 5660, 543, 1174, 519, 2956, 540, 7863, 3309, 9249, 666, 8300, 873, 547, 9772, 10357, 7888, 2853, 543, 3565, 9797, 547, 5726, 3646, 780, 5194, 1898, 1523, 1369, 2825, 4656, 568, 834, 335, 3326, 1081, 1701, 21694, 4386, 950, 5739, 6878, 616, 5189, 883, 519, 1604, 267, 7133, 1312, 2713, 7103, 543, 741, 10450, 11874, 269, 1280, 3236, 267, 5068, 3653, 13514, 1713, 6937, 547, 7286, 7320, 267, 1247, 2011, 5533, 8309, 547, 7929, 10108, 543, 2916, 1689, 269, 1635, 10962, 519, 2856, 540, 5533, 538, 2085, 29003, 1893, 267, 1453, 666, 10146, 519, 4539, 540, 3352, 22529, 1043, 3653, 12871, 543, 1451, 827, 4264, 8925, 780, 763, 2165, 834, 30873, 1689, 257, 8711, 1776, 25246, 540, 2825, 4656, 269, 8693, 1689, 18575, 1279, 3856, 10593, 538, 5210, 543, 4365, 3270, 1813, 5097, 547, 1480, 2238, 899, 8781, 8093, 10173, 269, 4706, 5222, 2039, 689, 8375, 4262, 2157, 543, 3665, 4365, 2621, 547, 12012, 7693, 11729, 543, 2799, 3262, 540, 3676, 269, 3447, 908, 1762, 3988, 827, 519, 3123, 543, 2360, 540, 2916, 1689, 6087, 873, 547, 1118, 1134, 26455, 3664, 3823, 1648, 4616, 543, 4199, 2359, 780, 13010, 267, 834, 516, 2908, 762, 1648, 257, 5713, 607, 513, 4105, 5057, 540, 2825, 9637, 269, 24997, 1648, 2959, 267, 971, 607, 3859, 267, 2842, 267, 32394, 1379, 267, 543, 24232, 1648, 267, 2709, 15777, 543, 811, 4264, 3681, 3379, 547, 13113, 8093, 4492, 14425, 269, 23889, 5717, 593, 7791, 1648, 883, 6107, 7924, 11942, 7279, 543, 7512, 5647, 1851, 2104, 5481, 945, 949, 3180, 519, 1883, 547, 30196, 1007, 4066, 543, 3435, 780, 15563, 267, 621, 568, 16122, 547, 2232, 519, 1523, 540, 834, 4621, 3569, 1701, 11094, 3322, 8497, 543, 5883, 2067, 2200, 19100, 547, 2327, 789, 22036, 585, 2104, 946, 269, 8479, 8186, 1590, 5431, 519, 1871, 540, 25137, 2200, 998, 9657, 3292, 267, 4227, 1648, 4616, 267, 543, 12145, 3653, 2504, 269, 1452, 3527, 7668, 1453, 547, 7119, 8362, 538, 2199, 7341, 543, 3310, 6848, 8155, 2509, 6940, 780, 1103, 3932, 267, 10128, 2825, 4656, 883, 11174, 15923, 2636, 7855, 543, 4589, 7567, 547, 11349, 513, 4514, 1620, 540, 10296, 8733, 2152, 1851, 1762, 3988, 269, 3414, 2502, 6386, 10704, 1472, 4143, 2474, 899, 9265, 267, 5533, 267, 2916, 1689, 267, 7791, 1648, 267, 543, 5726, 267, 649, 666, 6536, 606, 2802, 545, 540, 19642, 543, 5539, 538, 519, 14232, 5108, 269, 1306, 7152, 676, 519, 2810, 23473, 4478, 3584, 5941, 4505, 267, 14637, 2825, 9637, 2038, 593, 14767, 8101, 2640, 585, 1296, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12606, 595, 322, 773, 13705, 532, 1656, 22732, 532, 966, 2004, 24722, 12501, 6651, 11730, 476, 272, 476, 276, 1320, 9990, 476, 1001, 275, 454, 16829, 593, 4864, 2073, 476, 1001, 278, 538, 1325, 30790, 19537, 325, 628, 1787, 22337, 660, 1144, 267, 476, 278, 10975, 269, 570, 25493, 549, 631, 604, 2317, 267, 962, 32634, 17578, 4157, 14505, 269, 570, 25493, 549, 631, 604, 2317, 267, 1772, 15120, 340, 26232, 3385, 267, 28635, 20076, 1744, 574, 3120, 269, 1325, 30790, 19537, 325, 628, 1787, 3162, 267, 476, 1556, 281, 3393, 10975, 282, 538, 601, 580, 1043, 269, 590, 22432, 4149, 12195, 3951, 16249, 14877, 670, 6579, 2752, 22473, 4785, 269, 21096, 4668, 21434, 1143, 674, 6020, 2894, 13036, 312, 27946, 2207, 590, 2752, 17682, 538, 589, 2839, 2207, 256, 654, 1023, 327, 20579, 331, 2023, 476, 2641, 851, 4313, 282, 2871, 611, 2728, 701, 808, 14709, 6807, 681, 323, 269, 4400, 10665, 11123, 22847, 294, 269, 7083, 8361, 267, 849, 14916, 607, 519, 14904, 2933, 269, 16440, 707, 3461, 4647, 524, 322, 773, 23332, 543, 15175, 269, 13779, 585, 267, 30610, 267, 5123, 269, 715, 18860, 4149, 539, 15196, 345, 543, 6192, 15196, 345, 269, 12390, 1088, 543, 519, 8061, 559, 15506, 5108, 269, 11959, 3858, 519, 5483, 1646, 269, 2182, 1071, 2987, 4034, 580, 1807, 585, 1010, 14980, 3126, 269, 2804, 3942, 2860, 17659, 808, 269, 28226, 536, 574, 282, 519, 4798, 269, 22502, 267, 8659, 17588, 343, 568, 547, 581, 269, 25371, 595, 297, 299, 267, 966, 657, 4647, 524, 322, 773, 23332, 543, 15175, 267, 700, 9926, 8457, 681, 267, 18491, 6409, 328, 631, 267, 4469, 1314, 2006, 5084, 267, 5760, 7596, 595, 267, 1696, 620, 269, 1977, 2780, 1797, 263, 667, 3201, 312, 338, 264, 585, 476, 29720, 7131, 338, 543, 29801, 538, 476, 2641, 2959, 1719, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20245, 17607, 257, 607, 851, 540, 834, 16300, 13493, 1315, 16610, 1315, 9293, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 276, 281, 20550, 13239, 14272, 21646, 910, 8837, 883, 2776, 20931, 692, 296, 269, 4985, 692, 288, 269, 634, 2353, 675, 540, 20550, 14795, 692, 763, 22906, 609, 17878, 25186, 2085, 267, 2528, 267, 543, 10923, 6302, 269, 12344, 621, 568, 741, 22406, 2450, 267, 12194, 727, 5920, 267, 610, 519, 1249, 602, 891, 15999, 7068, 2899, 887, 3139, 938, 4541, 267, 6028, 3297, 21915, 531, 1944, 10881, 827, 741, 6228, 269, 4014, 1034, 540, 721, 786, 2760, 7237, 513, 2713, 21300, 267, 24790, 540, 741, 2729, 6414, 538, 1585, 3029, 267, 1519, 29066, 269, 1635, 4974, 891, 3504, 15244, 267, 3744, 543, 12439, 7567, 2744, 3407, 4030, 883, 519, 1158, 540, 891, 28430, 7919, 269, 901, 3184, 12538, 883, 519, 10578, 7706, 540, 21300, 29066, 543, 741, 4644, 538, 12779, 26585, 780, 289, 269, 20223, 20550, 13239, 14272, 21646, 692, 6524, 25054, 593, 938, 3460, 998, 840, 20931, 3842, 21300, 29066, 267, 1577, 781, 3715, 513, 2312, 4214, 269, 589, 21300, 11640, 4016, 547, 606, 12705, 2451, 3297, 676, 513, 21300, 538, 513, 24348, 2627, 1282, 922, 10715, 269, 3683, 6634, 540, 1296, 267, 891, 24221, 4396, 1518, 543, 1831, 851, 540, 519, 4224, 2594, 267, 3246, 2565, 2963, 585, 3173, 547, 1353, 269, 769, 9759, 267, 21300, 29066, 4196, 607, 9486, 883, 519, 2250, 267, 5356, 1350, 31663, 525, 883, 519, 6208, 267, 2623, 267, 543, 24466, 4162, 540, 1279, 268, 2169, 3307, 7103, 780, 2862, 269, 19725, 540, 20550, 13239, 14272, 21646, 692, 288, 269, 20767, 21747, 17148, 692, 2690, 513, 21300, 11640, 547, 1106, 267, 1808, 2175, 1590, 581, 1558, 269, 17616, 267, 5078, 24348, 5054, 1590, 2291, 1141, 17878, 7928, 269, 5871, 5468, 1331, 6360, 680, 1622, 267, 5757, 3316, 802, 267, 12647, 327, 2803, 267, 543, 9381, 16095, 4148, 1846, 269, 9941, 267, 5848, 26828, 7520, 519, 5137, 540, 1134, 20452, 29066, 1813, 547, 741, 726, 4192, 2470, 269, 1306, 17878, 29906, 891, 2127 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 524, 20110, 978, 524, 12782, 356, 320, 19819, 17554, 352, 328, 17487, 495, 17554, 354, 340, 524, 12782, 356, 320, 536, 17554, 350, 333, 269, 17487, 494, 5889, 344, 943, 17554, 352, 328, 561, 14504, 23356, 386, 364, 12782, 507, 328, 544, 14504, 512, 17554, 354, 339, 524, 17554, 352, 524, 5451, 322, 669, 12782, 356, 521, 12782, 509, 554, 12782, 363, 340, 737, 327, 5451, 322, 11876, 14504, 333, 547, 14504, 333, 17646, 512, 386, 364, 12782, 509, 978, 269, 1323, 327, 476, 17554, 354, 344, 11876, 17554, 371, 322, 524, 20110, 476, 17554, 354, 344, 521, 17554, 377, 943, 12782, 354, 959, 5451, 577, 562, 327, 12782, 363, 978, 524, 20110, 978, 19274, 12782, 485, 322, 562, 327, 386, 364, 546, 12782, 365, 555, 17554, 352, 334, 267, 575, 6062, 536, 14504, 333, 524, 5451, 322, 959, 17554, 511, 333, 17487, 495, 17554, 354, 340, 267, 555, 328, 17554, 379, 339, 561, 17554, 511, 335, 19819, 17554, 352, 328, 17487, 495, 17554, 354, 340, 267, 642, 18192, 269, 17487, 494, 5889, 344, 524, 6759, 555, 12782, 481, 561, 14504, 544, 12782, 503, 339, 524, 20110, 978, 19274, 12782, 485, 322, 678, 17554, 354, 339, 737, 327, 17554, 363, 339, 737, 515, 642, 12782, 505, 328, 678, 17554, 354, 339, 562, 6062, 12782, 479, 340, 959, 5451, 577, 562, 6062, 12782, 485, 332, 269, 715, 6759, 524, 6759, 555, 12782, 481, 669, 12782, 358, 978, 512, 12782, 493, 521, 12782, 365, 555, 17554, 511, 333, 959, 12782, 491, 978, 737, 6062, 555, 328, 17554, 379, 339, 561, 17554, 511, 335, 544, 12782, 503, 339, 642, 12782, 489, 959, 6403, 17487, 495, 12782, 497, 978, 476, 12782, 356, 344, 19274, 17845, 333, 563, 300, 12782, 501, 328, 544, 383, 373, 320, 19819, 17554, 352, 328, 536, 6759, 978, 17487, 495, 5451, 544, 12782, 505, 328, 561, 17554, 350, 328, 22600, 17487, 495, 17554, 379, 333, 544, 12782, 503, 339, 561, 12782, 505, 335, 524, 17554, 356, 340, 555, 12782, 356, 959, 17554, 375, 959, 2426, 554, 12782, 491, 322, 737, 327, 5451, 322, 267, 562, 6062, 12782, 479, 340, 23356, 386, 364, 12782, 507, 328, 544, 12782, 505, 328, 669, 12782, 487, 561, 14504, 5609, 327, 19274, 17845, 333, 562, 26324, 332, 562, 327, 17554, 354, 339, 642, 14504, 562, 26324, 332, 688, 328, 267, 642, 12782, 505, 328, 476, 386, 364, 12782, 505, 322, 544, 386, 350, 562, 12782, 499, 328, 27764, 17554, 379, 978, 642, 14504, 24064, 327, 844, 836, 959, 17845, 333, 521, 5889, 333, 524, 12782, 493, 269, 918, 6062, 554, 12782, 491, 561, 14504, 554, 17554, 511, 340, 536, 12782, 495, 328, 642, 14504, 17487, 495, 14504, 333, 606, 327, 267, 544, 12782, 503, 339, 521, 12782, 495, 23356, 386, 364, 12782, 507, 328, 959, 784, 521, 12782, 495, 554, 12782, 491, 521, 17554, 377, 555, 340, 554, 14243, 339, 521, 12782, 365, 669, 14243, 3331, 377, 524, 12782, 356, 320, 524, 5451, 322, 554, 340, 17554, 354, 333, 561, 8500, 12782, 485, 333, 19274, 17845, 333, 512, 17554, 350, 328, 524, 5451, 322, 669, 386, 364, 386, 350, 978, 959, 383, 361, 333, 327, 536, 6759, 978, 17487, 495, 5451, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 561, 12782, 505, 333, 269, 17487, 494, 12782, 495, 328, 642, 12782, 505, 328, 562, 327, 12782, 363, 978, 524, 17554, 356, 340, 555, 12782, 356, 554, 14504, 978, 17487, 495, 17554, 356, 340, 267, 555, 600, 575, 807, 642, 14504, 334, 844, 5451, 959, 383, 361, 333, 327, 512, 8500, 12782, 481, 333, 546, 12782, 354, 978, 536, 6759, 978, 17487, 495, 5451, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 561, 14504, 544, 12782, 503, 339, 737, 14833, 17554, 352, 978, 555, 12782, 507, 328, 575, 1014, 642, 14241, 642, 17554, 375, 642, 14504, 555, 14243, 642, 12782, 489, 563, 301, 327, 386, 364, 978, 562, 17554, 379, 340, 536, 17554, 350, 333, 737, 327, 20110, 978, 943, 17554, 352, 328, 561, 14504, 544, 12782, 503, 339, 959, 784, 521, 12782, 495, 3331, 511, 339, 562, 327, 12782, 363, 978, 524, 17554, 356, 340, 555, 12782, 356, 554, 14504, 978, 17487, 495, 17554, 356, 340, 524, 12782, 356, 320, 844, 12782, 495, 322, 575, 807, 476, 12782, 509, 642, 12782, 489, 959, 6403, 524, 12782, 356, 320, 536, 17554, 350, 333, 959, 784, 17487, 495, 12782, 503, 328, 555, 383, 361, 1094, 334, 286, 645, 17554, 350, 333, 524, 6759, 524, 383, 366, 333, 524, 386, 350, 554, 12782, 503, 328, 959, 12782, 509, 555, 14504, 333, 327, 544, 12782, 503, 339, 943, 17554, 356, 333, 524, 12782, 356, 320, 17487, 495, 12782, 503, 328, 536, 6759, 978, 17487, 495, 5451, 959, 386, 364, 12782, 507, 978, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 737, 327, 20110, 978, 286, 570, 17554, 354, 339, 562, 6062, 17845, 333, 561, 14504, 536, 17554, 350, 333, 524, 6759, 269, 645, 17554, 350, 333, 669, 12782, 487, 524, 17554, 356, 333, 561, 14504, 332, 562, 6062, 12782, 479, 340, 554, 386, 350, 333, 544, 12782, 503, 339, 669, 14243, 339, 17487, 495, 12782, 481, 943, 5889, 333, 3138, 17554, 350, 328, 669, 386, 364, 386, 350, 978, 959, 383, 361, 333, 327, 536, 6759, 978, 17487, 495, 5451, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 562, 14504, 334, 524, 6759, 555, 12782, 481, 844, 534, 512, 5889, 332, 17487, 495, 17554, 379, 333, 536, 17554, 350, 333, 267, 642, 14504, 536, 17554, 350, 333, 524, 6759, 555, 12782, 481, 943, 17554, 352, 328, 561, 14504, 332, 19274, 12782, 485, 322, 669, 26324, 332, 669, 12782, 487, 554, 386, 350, 333, 544, 12782, 503, 339, 669, 14243, 339, 17487, 495, 12782, 481, 555, 340, 554, 14243, 339, 521, 12782, 365, 669, 14243, 678, 4689, 4777, 1835, 626, 10730, 3331, 377, 524, 12782, 356, 320, 554, 340, 17554, 354, 333, 561, 8500, 12782, 485, 333, 19274, 17845, 333, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 269, 670, 14504, 978, 562, 26324, 332, 267, 524, 5451, 322, 524, 17554, 356, 340, 555, 12782, 356, 8946, 8976, 959, 17845, 333, 524, 17554, 352, 562, 386, 364, 12782, 505, 322, 17487, 495, 12782, 479, 340, 512, 17554, 511, 335, 959, 2426, 642, 14504, 334, 524, 5451, 322, 11876, 17554, 350, 339, 17487, 495, 12782, 503, 978, 17487, 495, 6759, 17487, 495, 12782, 481, 737, 328, 17554, 379, 332, 524, 386, 350, 554, 12782, 503, 328, 17487, 495, 5451, 536, 6759, 978, 512, 17554, 350, 328, 524, 5451, 322, 959, 386, 364, 12782, 507, 978, 1309, 334, 17487, 495, 17554, 367, 978, 561, 12782, 505, 333, 562, 327, 12782, 493, 563, 290, 5451, 322, 524, 17554, 356, 340, 555, 12782, 356, 959, 2426, 554, 12782, 491, 322, 524, 6759, 555, 12782, 481, 555, 12782, 511, 562, 6062, 12782, 479, 340, 943, 386, 364, 386, 350, 978, 943, 5451, 335, 737, 327, 5451, 322, 562, 327, 879, 17487, 495, 12782, 481, 555, 340, 554, 14243, 339, 642, 14504, 19819, 12782, 363, 521, 12782, 365, 669, 14243, 3331, 377, 524, 12782, 356, 320, 554, 340, 17554, 354, 333, 561, 8500, 12782, 485, 333, 19274, 17845, 333, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 267, 562, 327, 386, 364, 978, 17487, 495, 5889, 344, 561, 14504, 688, 328, 544, 17554, 373, 334, 17487, 495, 13168, 17487, 495, 386, 364, 12782, 352, 322, 669, 12782, 358, 978, 1295, 327, 912, 384, 494, 17554, 356, 340, 27764, 17845, 333, 267, 554, 13168, 344, 562, 724, 328, 17845, 333, 524, 12782, 358, 340, 15854, 327, 521, 5451, 577, 524, 5451, 322, 17487, 495, 12782, 503, 328, 536, 6759, 978, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 17487, 495, 12782, 481, 1535, 5451, 322, 17487, 495, 12782, 489, 333, 327, 562, 16852, 524, 17554, 356, 340, 524, 12782, 356, 320, 554, 12782, 491, 17487, 495, 12782, 495, 328, 642, 12782, 505, 328, 562, 327, 12782, 363, 978, 524, 17554, 356, 340, 555, 12782, 356, 476, 12782, 509, 642, 12782, 489, 959, 6403, 524, 12782, 356, 320, 536, 17554, 350, 333, 269, 2558, 17845, 333, 524, 5451, 322, 959, 836, 1357, 669, 27713, 327, 555, 12782, 358, 322, 524, 12782, 356, 320, 554, 12782, 491, 267, 554, 17554, 356, 340, 562, 327, 386, 364, 512, 17554, 354, 339, 524, 17554, 352, 524, 5451, 322, 669, 386, 364, 386, 350, 978, 959, 383, 361, 333, 327, 536, 6759, 978, 17487, 495, 5451, 17487, 495, 17554, 350, 328, 554, 12782, 491, 322, 17487, 495, 12782, 479, 340, 17487, 495, 26324, 978, 15854, 327, 521, 5451, 577, 544, 12782, 491, 328, 555, 14504, 333, 327, 19274, 17845, 333, 959, 784, 17487, 495, 12782, 503, 328, 524, 12782, 356, 320, 554, 12782, 491, 269, 774, 20110, 978, 555, 386, 364, 12782, 507, 978, 267, 555, 20110, 978, 17646, 536, 12782, 499, 23475, 1107, 669, 17554, 367, 978, 554, 17554, 350, 333, 562, 327, 386, 364, 642, 12782, 489, 959, 6403, 267, 16584, 12782, 479, 340, 1309, 334, 642, 14504, 524, 5889, 333, 562, 17554, 371, 978, 642, 14504, 943, 5889, 333, 3138, 17554, 350, 328, 630, 7562, 327, 19274, 17845, 333, 562, 26324, 332, 562, 327, 17554, 354, 339, 267, 562, 26324, 332, 688, 328, 267, 524, 386, 350, 521, 12782, 509, 11876, 17554, 371, 322, 1309, 334, 524, 17554, 354, 335, 264, 1781, 544, 12782, 501, 328, 23356, 386, 364, 12782, 507, 328, 669, 386, 350, 328, 1107, 524, 385, 358, 978, 17487, 495, 386, 364, 12782, 352, 322, 524, 2426, 524, 17554, 354, 335, 269, 966, 383, 361, 642, 17554, 511, 344, 267, 642, 12782, 505, 328, 544, 12782, 503, 339, 562, 724, 328, 17845, 333, 524, 12782, 358, 340, 562, 327, 12782, 493, 267, 536, 17554, 350, 333, 524, 6759, 555, 12782, 481, 1979, 17554, 379, 339, 554, 12782, 491, 524, 6759, 536, 7776, 562, 6062, 17845, 340, 524, 17554, 356, 340, 555, 12782, 356, 476, 12782, 509, 642, 12782, 489, 959, 6403, 524, 12782, 356, 320, 536, 17554, 350, 333, 642, 14504, 536, 7776, 562, 6062, 17845, 340, 23356, 386, 364, 12782, 507, 328, 959, 784, 521, 12782, 495, 554, 12782, 491, 561, 14504, 17487, 495, 14504, 333, 900, 642, 14504, 17487, 495, 14504, 333, 606, 327, 269, 715, 17554, 379, 340, 554, 17554, 356, 340, 554, 17554, 379, 339, 554, 12782, 491, 17487, 495, 12782, 479, 340, 561, 14504, 562, 327, 12782, 363, 978, 17487, 495, 14504, 333, 606, 327, 562, 327, 386, 364, 642, 17554, 511, 344, 267, 555, 383, 361, 524, 14504, 978, 524, 6759, 562, 6062, 12782, 479, 340, 737, 327, 17554, 352, 562, 26324, 978, 562, 327, 12782, 363, 978, 554, 340, 17554, 354, 333, 561, 8500, 12782, 485, 333, 19274, 17845, 333, 17487, 495, 6759, 17487, 495, 836, 512, 383, 361, 332, 737, 328, 17554, 379, 332, 512, 5889, 333, 10822, 327, 476, 12782, 509, 562, 327, 12782, 363, 978, 642, 12782, 489, 959, 6403, 17487, 495, 6759, 269, 17487, 494, 12782, 481, 17487, 495, 17554, 352, 332, 536, 17554, 352, 334, 678, 17554, 365, 978, 524, 5451, 322, 669, 386, 364, 386, 350, 978, 959, 383, 361, 333, 327, 17487, 495, 6759, 1979, 17554, 379, 339, 642, 12782, 479, 536, 17554, 350, 333, 642, 14504, 521, 12782, 365, 844, 534, 512, 5889, 332, 524, 12782, 356, 320, 536, 17554, 350, 333, 267, 536, 17554, 350, 333, 524, 6759, 555, 12782, 481, 575, 12782, 511, 328, 1781, 554, 12782, 491, 544, 12782, 503, 339, 561, 5451, 555, 386, 364, 524, 2426, 524, 17554, 354, 335, 555, 20110, 978, 17646, 15073, 17845, 333, 554, 12782, 485, 524, 12782, 356, 320, 536, 17554, 350, 333, 282, 16584, 12782, 479, 340, 1309, 334, 267, 524, 5889, 333, 562, 17554, 371, 978, 642, 14504, 512, 12782, 495, 322, 17487, 495, 12782, 503, 524, 12782, 356, 320, 536, 17554, 350, 333, 282, 19819, 17554, 352, 328, 555, 386, 364, 12782, 509, 978, 11876, 17554, 371, 322, 521, 12782, 365, 524, 20110, 978, 562, 327, 17554, 511, 333, 737, 327, 5451, 322, 544, 14504, 536, 17554, 350, 333, 17487, 495, 13168, 562, 327, 17554, 511, 333, 17487, 495, 386, 364, 12782, 352, 322, 282, 642, 14504, 524, 5451, 322, 555, 20110, 978, 17646, 15073, 17845, 333, 844, 534, 737, 327, 5451, 322, 563, 1320, 12782, 358, 688, 328, 267, 554, 13168, 344, 524, 12782, 495, 575, 17554, 363 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2639, 12163 ]
[ 1, 1 ]
[ 0, 258, 717, 3518, 718, 7089, 1849, 760, 21998, 476, 271, 268, 1015, 692, 20428, 454, 4910, 1830, 7392, 454, 13349, 11759, 11621, 454, 29410, 28951, 454, 275, 269, 271, 454, 272, 28951, 454, 17572, 7392, 692, 14457, 630, 10907, 13681, 520, 264, 11657, 11711, 692, 277, 15406, 347, 2420, 3817, 454, 18704, 454, 29410, 13517, 454, 294, 3518, 718, 7089, 1849, 760, 21998, 1683, 513, 3946, 6823, 1935, 538, 4543, 1453, 609, 1297, 543, 1297, 2262, 6284, 2059, 609, 3556, 514, 1275, 780, 1692, 547, 2422, 901, 12754, 912, 414, 507, 370, 300, 2255, 519, 1297, 267, 1297, 2262, 610, 7274, 538, 519, 575, 3518, 718, 3684, 547, 519, 2953, 1297, 538, 519, 10945, 563, 414, 507, 371, 5141, 760, 519, 1297, 609, 513, 9660, 11017, 610, 3382, 609, 606, 1843, 610, 707, 3903, 780, 1607, 4199, 568, 513, 3501, 1259, 547, 2689, 2338, 538, 513, 2979, 4099, 267, 1507, 1895, 267, 476, 272, 6823, 268, 272, 610, 4830, 4259, 256, 901, 1131, 581, 513, 1390, 1840, 547, 707, 9251, 267, 840, 10275, 267, 9656, 267, 610, 2027, 2069, 1362, 269, 14268, 267, 713, 1131, 849, 581, 513, 1187, 2534, 547, 6451, 538, 707, 9103, 18375, 610, 32059, 6437, 269, 11314, 1319, 338, 616, 2653, 547, 3341, 543, 666, 581, 1031, 1032, 1310, 1032, 2439, 1607, 1587, 3568, 519, 1739, 538, 1312, 2681, 543, 3109, 543, 3043, 912, 16123, 374, 263, 1556, 264, 5590, 476, 272, 6486, 6474, 1297, 547, 1297, 454, 16123, 374, 263, 1556, 264, 5590, 476, 273, 6486, 6474, 7274, 547, 1297, 454, 16123, 374, 263, 1556, 264, 5590, 476, 274, 6486, 6474, 1297, 2262, 547, 1297, 692, 2791, 786, 991, 547, 1820, 593, 3556, 18450, 543, 5924, 22495, 622, 782, 3817, 585, 3476, 15006, 780, 9743, 15297, 585, 13909, 912, 414, 507, 370, 19530, 593, 3556, 18450, 543, 5924, 22495, 622, 585, 15006, 563, 414, 507, 371, 29493, 6306, 17157, 6486, 780, 13349, 11759, 11621, 4988, 676, 713, 4199, 912, 298, 5861, 290, 6993, 5700, 1297, 4408, 543, 519, 1293, 5311, 563, 298, 5861, 290, 6993, 269, 272, 4032, 547, 476, 1911, 676, 3283, 543, 676, 9937, 563, 298, 5861, 290, 11065, 4032, 547, 2995, 519, 1297, 540, 3615, 563, 298, 5861, 290, 11065, 269, 275, 13760, 519, 2078, 1063, 2338, 543, 9424, 282, 1921, 10203, 547, 3556, 514, 1275, 563, 298, 5861, 290, 11065, 269, 275, 320, 1879, 10203, 3615, 267, 2161, 519, 1297, 4408, 538, 519, 3044, 1931, 267, 30010, 1142, 1843, 609, 835, 543, 1152, 835, 1297, 2012, 543, 1142, 1297, 2012, 609, 835, 543, 1152, 835, 1843, 563, 298, 5861, 290, 11065, 269, 275, 321, 13760, 602, 519, 2063, 1297, 2012, 1767, 6645, 519, 1297, 540, 3615, 18886, 269, 634, 1297, 540, 3615, 568, 519, 1482, 7488, 540, 741, 11460, 610, 519, 1931, 538, 799, 789, 941, 18886, 563, 298, 5861, 290, 11065, 269, 275, 322, 13760, 602, 1142, 20422, 1297, 2012, 4016, 547, 513, 7274, 602, 568, 835, 3677, 563, 298, 5861, 290, 11065, 269, 276, 4032, 547, 2626, 834, 6011, 1082, 8119, 2055, 827, 607, 1082, 607, 476, 736, 1919, 11231, 538, 513, 1899, 267, 513, 14328, 5044, 267, 610, 513, 5858, 267, 610, 607, 1082, 607, 476, 1015, 1919, 538, 513, 16559, 12122, 282, 2016, 513, 1297, 689, 476, 272, 268, 736, 267, 1293, 856, 602, 1082, 3615, 780, 12812, 519, 3039, 12744, 7735, 1657, 547, 2070, 3732, 1587, 3817, 780, 19522, 585, 11426, 619, 454, 16123, 374, 6826, 2386, 596, 723, 519, 5767, 4528, 540, 23489, 3600, 13681, 520, 547, 1930, 713, 3758, 269, 5192, 621, 4625, 1863, 1934, 563, 16123, 374, 12812, 519, 547, 1246, 1250, 4558, 269, 1411, 786, 581, 711, 1881, 950, 1007, 2472, 616, 3773, 543, 950, 1250, 4558, 4422, 593, 9042, 563, 16123, 374, 2252, 596, 10150, 713, 1587, 267, 1810, 1405, 7340, 547, 4734, 707, 2318, 5955, 269, 1635, 3257, 865, 596, 666, 7118, 570, 335, 307, 17099, 547, 946, 593, 2104, 16306, 269, 4855, 856, 811, 1934, 563, 16123, 374, 2252, 596, 723, 1022, 2055, 610, 4145, 827, 519, 1587, 267, 5225, 3346, 803, 998, 519, 8605, 1627, 1299, 589, 3296, 2630, 543, 594, 3513, 1205, 1394, 547, 596, 607, 4166, 607, 2009, 2336, 13707, 9664, 454, 2420, 3817, 454, 301, 12458, 454, 22826, 30991, 454, 301, 12458, 454, 27751, 713, 12754, 692, 27645, 9796, 11334, 568, 606, 2228, 19458, 1141, 3610, 4444, 543, 6133, 3312, 3872, 2326, 269, 0, 258, 6399, 25042, 1656, 2405, 1014, 21584, 692, 17572, 8745, 281, 1611, 7154, 543, 11667, 1547, 32502, 454, 23917, 281, 476, 5611, 277, 298, 321, 454, 13775, 281, 476, 5881, 269, 4962, 269, 1708, 272, 692, 20755, 902, 2016, 616, 1152, 16977, 269, 1401, 716, 4626, 902, 786, 4096, 593, 519, 2115, 540, 519, 1362, 269, 901, 3992, 3322, 513, 2039, 540, 6310, 2853, 689, 519, 4441, 267, 609, 8561, 593, 281, 780, 2414, 1174, 519, 1523, 540, 1611, 267, 11667, 267, 543, 7154, 267, 519, 2078, 1063, 873, 267, 543, 519, 3017, 267, 649, 1101, 991, 547, 917, 602, 891, 2035, 1106, 519, 851, 540, 3800, 540, 3844, 12402, 269, 898, 4016, 547, 513, 2582, 1871, 602, 8942, 547, 4766, 519, 8984, 540, 519, 3003, 1305, 540, 1239, 676, 7114, 519, 3844, 2990, 1369, 602, 1305, 269, 898, 568, 3006, 849, 1634, 607, 3800, 540, 3844, 4087, 780, 1012, 6399, 270, 8469, 1014, 19072, 1712, 24250, 1052, 6096, 692, 2080, 596, 786, 1265, 513, 2647, 2039, 540, 1863, 7792, 6096, 267, 799, 786, 948, 707, 1126, 1451, 875, 547, 1265, 519, 1611, 267, 11667, 267, 7154, 543, 2039, 540, 513, 1305, 540, 1239, 2798, 269, 898, 568, 1336, 676, 4946, 909, 519, 1305, 540, 2338, 543, 1287, 12270, 519, 2698, 676, 519, 1297, 540, 1239, 2798, 538, 519, 1305, 269, 5153, 476, 273, 1703, 568, 606, 9642, 1297, 540, 2418, 538, 519, 1305, 865, 519, 11667, 568, 519, 1647, 1871, 799, 568, 476, 276, 780, 3721, 476, 273, 1703, 568, 606, 1256, 1297, 540, 2418, 538, 519, 1305, 267, 865, 519, 11667, 568, 519, 3328, 540, 519, 1647, 1079, 2418, 780, 2005, 666, 581, 1336, 676, 8380, 519, 1239, 883, 606, 10288, 1592, 543, 7487, 799, 1239, 1448, 4386, 1034, 1419, 269, 898, 568, 1336, 676, 8380, 519, 1239, 883, 606, 10288, 1592, 543, 1265, 519, 3017, 1063, 519, 4102, 543, 10545, 2179, 269, 1452, 7792, 1611, 11667, 7154, 2039, 3211, 723, 1044, 5402, 28439, 547, 2327, 513, 11144, 538, 519, 1377, 540, 7411, 780, 763, 476, 275, 628, 267, 476, 276, 628, 543, 476, 277, 628, 9212, 616, 2147, 547, 519, 1101, 476, 274, 9212, 855, 609, 2799, 1297, 540, 1239, 2798, 269, 1452, 7792, 1611, 11667, 7154, 2039, 1966, 9212, 786, 948, 707, 1126, 547, 946, 543, 4019, 741, 1983, 547, 4194, 2042, 269, 634, 9212, 538, 713, 3296, 786, 948, 596, 547, 1265, 519, 1611, 540, 513, 2039, 540, 2338, 267, 1519, 2942, 2338, 543, 17447, 269, 1703, 616, 513, 2039, 540, 9212, 5473, 4466, 519, 1611, 267, 543, 849, 4466, 513, 7508, 1239, 1448, 950, 519, 1611, 568, 2016, 780, 763, 9212, 538, 713, 3296, 786, 948, 596, 547, 1265, 519, 11667, 540, 513, 2039, 540, 2338, 267, 1519, 2942, 2338, 543, 17447, 269, 634, 9212, 538, 713, 3296, 786, 948, 596, 547, 1265, 519, 7154, 543, 2039, 540, 513, 1305, 540, 2338, 267, 1519, 2942, 2338, 543, 17447, 269, 634, 9212, 538, 713, 3296, 786, 948, 596, 547, 4194, 2042, 5473, 3046, 11708, 543, 4605, 11708, 269, 1703, 616, 513, 2039, 540, 6656, 5473, 2542, 543, 16208, 11708, 607, 1134, 607, 5373, 707, 1378, 11708, 269, 10261, 948, 609, 8228, 610, 9494, 2496, 10287, 891, 476, 274, 2653, 3268, 547, 1205, 707, 3211, 9102, 856, 9985, 256, 17776, 547, 476, 277, 628, 6103, 4569, 6096, 269, 17776, 547, 10803, 16735, 2985, 269, 634, 4569, 6428, 600, 32752, 4126, 596, 2972, 1210, 891, 1863, 7792, 4569, 3211, 543, 782, 938, 824, 4569, 3756, 543, 2200, 269, 1284, 10950, 1022, 8292, 827, 938, 3135, 610, 3211, 593, 519, 9365, 8292, 4216, 693, 519, 5377, 540, 1169, 2985, 269, 1284, 723, 8242, 543, 4824, 938, 6824, 26732, 547, 1397, 596, 875, 547, 4194, 707, 6824, 2042, 1900, 8386, 9912, 2439, 12648, 513, 1413, 693, 782, 938, 5767, 2200, 256, 5620, 513, 1413, 693, 930, 540, 938, 1034, 2442, 3817, 547, 1294, 1114, 4569, 2238, 543, 2093, 596, 1223, 946, 609, 707, 1126, 269, 1403, 596, 616, 513, 2834, 3593, 540, 938, 3135, 543, 5660, 1018, 649, 798, 267, 5225, 2015, 1818, 513, 1507, 21856, 547, 948, 721, 609, 938, 3790, 269, 5851, 9612, 13505, 6732, 6657, 780, 5353, 1783, 531, 8285, 14914, 19343, 269, 16797, 31904, 547, 634, 1611, 568, 519, 3328, 540, 513, 1305, 540, 2338, 269, 1215, 547, 1265, 519, 1611, 5153, 476, 272, 5410, 909, 782, 519, 2338, 538, 519, 1305, 780, 3721, 476, 273, 19147, 519, 2698, 676, 519, 2698, 1297, 540, 1239, 2798, 538, 519, 1305, 269, 634, 11667, 568, 519, 30268, 610, 1647, 1871, 540, 513, 1305, 540, 2338, 269, 898, 568, 1336, 676, 19280, 519, 1305, 540, 2338, 543, 1287, 4466, 519, 1647, 1871, 538, 519, 1305, 780, 1692, 547, 1265, 519, 11667, 5153, 476, 272, 11352, 519, 2338, 538, 519, 1305, 689, 10545, 547, 4102, 269, 5153, 476, 273, 4855, 519, 1647, 1297, 269, 7151, 476, 272, 4855, 519, 11667, 540, 476, 276, 267, 476, 278, 267, 476, 279, 267, 476, 273, 543, 476, 275, 5153, 476, 272, 10925, 519, 2338, 538, 1931, 281, 476, 273, 267, 476, 275, 267, 476, 276, 267, 476, 278, 267, 476, 279, 5153, 476, 273, 1703, 568, 606, 9642, 1297, 540, 2418, 538, 519, 1305, 865, 519, 11667, 568, 519, 1647, 1871, 799, 568, 476, 276, 269, 8382, 281, 519, 11667, 568, 476, 276, 780, 7078, 476, 273, 4855, 519, 11667, 540, 476, 2537, 267, 476, 2767, 267, 476, 1626, 267, 476, 4029, 5153, 476, 272, 10925, 519, 2338, 538, 1931, 281, 476, 1626, 267, 476, 2537, 267, 476, 2767, 267, 476, 4029, 5153, 476, 273, 1703, 568, 606, 1256, 1297, 540, 2418, 538, 519, 1305, 267, 865, 519, 11667, 568, 519, 3328, 540, 519, 1647, 1079, 2418, 780, 763, 7154, 568, 519, 1034, 1455, 610, 519, 1239, 1448, 602, 5526, 1034, 1419, 538, 513, 1305, 540, 1239, 269, 1215, 547, 1265, 519, 7154, 5153, 476, 272, 10925, 519, 1239, 883, 606, 10288, 1592, 269, 5153, 476, 273, 6744, 602, 596, 723, 3893, 519, 1482, 1297, 540, 1239, 2798, 780, 3721, 476, 274, 634, 7154, 568, 519, 1239, 1448, 799, 568, 519, 1034, 1455, 269, 7151, 476, 272, 4855, 519, 7154, 540, 476, 274, 267, 476, 277, 267, 476, 275, 267, 476, 274, 267, 476, 273, 267, 476, 275, 267, 476, 278, 267, 476, 279, 267, 476, 277, 267, 476, 274, 267, 476, 280, 5153, 476, 272, 10925, 519, 1239, 883, 606, 10288, 1592, 269, 901, 3947, 721, 281, 476, 273, 267, 476, 274, 267, 476, 274, 267, 476, 274, 267, 476, 275, 267, 476, 275, 267, 476, 277, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 5153, 476, 273, 6744, 519, 1297, 540, 1239, 2798, 538, 1312, 8638, 568, 519, 1482, 780, 13828, 8638, 723, 476, 1556, 1239, 2798, 269, 5153, 476, 274, 634, 7154, 568, 519, 1297, 799, 4386, 1034, 1419, 269, 8382, 281, 519, 7154, 568, 476, 274, 269, 7151, 476, 273, 4855, 519, 7154, 540, 476, 271, 269, 901, 3947, 721, 281, 476, 271, 269, 5637, 8638, 723, 476, 1015, 1239, 2798, 269, 8382, 281, 519, 7154, 568, 476, 271, 269, 634, 2039, 568, 519, 7934, 1063, 519, 10545, 543, 4102, 1239, 1448, 269, 1215, 547, 1265, 519, 2039, 5153, 476, 272, 10925, 519, 1239, 883, 606, 10288, 1592, 269, 5153, 476, 274, 634, 2039, 568, 519, 3017, 1063, 519, 4102, 543, 10545, 1239, 1448, 780, 2414, 1265, 519, 2039, 3274, 10208, 519, 10545, 1297, 689, 519, 4102, 1297, 269, 7151, 476, 272, 4855, 519, 2039, 540, 476, 1691, 267, 476, 2641, 267, 476, 280, 267, 476, 3953, 267, 476, 2767, 267, 476, 1428, 267, 476, 1321, 267, 476, 1789, 5153, 476, 272, 10925, 519, 1239, 883, 606, 10288, 1592, 269, 901, 3947, 721, 281, 476, 280, 267, 476, 1321, 267, 476, 1691, 267, 476, 1428, 267, 476, 2641, 267, 476, 2767, 267, 476, 1789, 267, 476, 3953, 5153, 476, 273, 6744, 519, 1297, 540, 1239, 2798, 538, 1312, 8638, 568, 519, 1482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3845, 284, 271, 454, 825, 585, 808, 538, 2039, 263, 273, 2187, 1038, 623, 284, 12690, 4590, 1038, 1627, 284, 12690, 4590, 1038, 3845, 266, 14352, 303, 29841, 264, 1262, 273, 454, 825, 3845, 284, 6912, 5560, 2700, 994, 825, 11192, 23785, 323, 2700, 454, 2745, 2891, 300, 1195, 26413, 964, 9883, 284, 24001, 2668, 8971, 263, 13707, 21610, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 689, 519, 5133, 540, 7303, 4539, 540, 6450, 895, 31202, 20945, 267, 799, 666, 2049, 538, 930, 9845, 950, 3635, 536, 8083, 616, 15748, 2673, 547, 513, 7594, 4586, 273, 269, 273, 4438, 26269, 454, 2005, 568, 1631, 1134, 3964, 602, 19346, 6981, 1282, 3635, 10607, 3635, 2773, 270, 5115, 13369, 1547, 7351, 9422, 4808, 585, 9845, 18973, 547, 8532, 11950, 1282, 3635, 693, 1114, 3928, 543, 538, 6935, 547, 519, 8653, 540, 3635, 536, 8083, 267, 607, 786, 581, 5941, 2663, 1496, 272, 267, 476, 273, 4940, 1703, 616, 4867, 1079, 6069, 6127, 540, 19346, 23908, 8328, 640, 269, 17616, 267, 11950, 666, 581, 2283, 539, 538, 519, 5711, 13570, 267, 4929, 606, 11852, 540, 1978, 2634, 4525, 267, 3056, 547, 14242, 540, 519, 3844, 8401, 1062, 267, 607, 3254, 676, 4824, 2773, 676, 19346, 5023, 32092, 532, 1496, 5392, 267, 2004, 267, 7906, 4940, 19627, 267, 543, 1034, 11932, 267, 11950, 1683, 606, 3606, 4492, 2707, 585, 21085, 5250, 1282, 3635, 269, 2961, 8510, 3433, 28453, 1282, 3635, 15387, 7123, 1973, 7280, 2157, 936, 1279, 3635, 7886, 476, 543, 15387, 19346, 16617, 3928, 5103, 19394, 4887, 25026, 4094, 8637, 865, 602, 28041, 11950, 12990, 1439, 18100, 19346, 8637, 1496, 7871, 267, 476, 7918, 4940, 769, 1840, 547, 713, 267, 608, 18100, 11950, 666, 22302, 610, 1256, 4625, 16401, 6797, 25026, 4094, 15059, 1496, 4649, 267, 476, 6321, 4940, 2755, 930, 2090, 723, 1336, 838, 2130, 540, 4887, 25026, 4094, 609, 19346, 21455, 1282, 3635, 1496, 6872, 267, 476, 6812, 3910, 1034, 540, 519, 2090, 12570, 2898, 4887, 25026, 4094, 13345, 1705, 711, 1294, 713, 1198, 476, 543, 513, 5063, 3370, 1353, 602, 11117, 1114, 19346, 28453, 3928, 1282, 15203, 3635, 1705, 711, 7747, 838, 2130, 540, 4887, 25026, 4094, 538, 513, 4887, 6775, 1826, 10391, 6073, 2901, 1547, 1717, 267, 811, 2487, 2963, 10834, 519, 2956, 540, 26654, 531, 1242, 25026, 4094, 10307, 547, 4887, 1599, 10741, 1007, 18817, 585, 14236, 519, 2964, 2065, 4493, 540, 19346, 8023, 1282, 3635, 4586, 2005, 568, 5227, 602, 9845, 3824, 652, 909, 547, 476, 2568, 575, 6440, 327, 6629, 272, 540, 6385, 12444, 1242, 11950, 971, 607, 7280, 267, 7280, 22169, 543, 7280, 1922, 28229, 30012, 585, 3635, 7886, 602, 616, 909, 547, 476, 274, 554, 1279, 1496, 272, 267, 476, 273, 267, 476, 2568, 4940, 8895, 716, 846, 814, 3335, 711, 1044, 5227, 547, 581, 28041, 1282, 3635, 1813, 547, 513, 3661, 602, 621, 568, 711, 607, 11593, 12444, 1242, 1496, 8618, 267, 476, 7830, 4940, 1717, 267, 2487, 2963, 9727, 602, 693, 9793, 13121, 1137, 630, 328, 4318, 1421, 476, 4366, 575, 6440, 327, 6629, 272, 1070, 26178, 630, 320, 11140, 16030, 7280, 543, 7523, 716, 846, 264, 666, 581, 607, 11593, 12444, 1242, 607, 7319, 13427, 630, 320, 11140, 16030, 7280, 543, 535, 28229, 264, 1247, 838, 2130, 1439, 18100, 11950, 1547, 898, 3788, 547, 581, 7152, 2047, 267, 855, 891, 1239, 5815, 602, 16617, 540, 7523, 716, 846, 1282, 3635, 568, 711, 3908, 950, 3177, 607, 26178, 693, 9793, 28453, 3928, 269, 4935, 267, 26178, 607, 513, 2707, 540, 7523, 716, 846, 543, 7280, 666, 581, 28041, 607, 606, 4244, 19346, 2707, 1282, 3635, 267, 693, 2547, 538, 26178, 2389, 26985, 2043, 563, 763, 476, 2568, 3766, 6440, 327, 6629, 272, 16252, 568, 1759, 593, 2090, 6029, 602, 950, 7280, 2861, 11950, 616, 28041, 1282, 3635, 267, 608, 18100, 19346, 16617, 3928, 8445, 693, 476, 272, 1700, 272, 269, 272, 575, 6440, 2381, 6629, 272, 267, 1256, 952, 519, 28453, 2557, 568, 2362, 1496, 1839, 267, 476, 5038, 267, 476, 4792, 4940, 898, 568, 5156, 602, 693, 713, 28453, 2557, 267, 519, 9770, 25322, 26651, 5532, 1098, 1602, 1562, 630, 306, 21923, 307, 272, 264, 538, 519, 1507, 16892, 1831, 15459, 1547, 901, 10206, 568, 1759, 593, 519, 7422, 602, 950, 535, 28229, 267, 4171, 10338, 689, 519, 1507, 16892, 18252, 513, 1114, 1098, 1602, 614, 630, 328, 4318, 1421, 7280, 1098, 1602, 614, 476, 276, 1496, 21923, 7473, 276, 25818, 568, 1071, 268, 532, 6479, 609, 7280, 267, 608, 18100, 19346, 16617, 3928, 616, 11506, 267, 543, 16063, 2152, 616, 1447, 11342, 1496, 5780, 267, 6858, 267, 6924, 267, 7597, 4940, 1306, 513, 1267, 540, 713, 267, 9845, 616, 5227, 547, 3824, 652, 23399, 540, 7280, 268, 543, 535, 28229, 2861, 11950, 950, 2866, 610, 6735, 568, 3476, 982, 476, 273, 269, 276, 554, 543, 950, 476, 2568, 1700, 3445, 575, 6440, 327, 6629, 272, 540, 11950, 616, 28041, 1496, 272, 267, 476, 273, 267, 476, 2568, 14073, 7197, 2090, 14236, 5916, 28453, 540, 7280, 2861, 11950, 543, 535, 28229, 8246, 513, 476, 273, 281, 272, 7280, 281, 325, 28229, 5223, 267, 543, 713, 814, 2094, 1831, 513, 3044, 16252, 1547, 1717, 267, 513, 6251, 6514, 540, 519, 3332, 8761, 602, 513, 5223, 6251, 547, 9322, 630, 328, 4318, 1421, 476, 272, 281, 271, 269, 279, 7280, 281, 325, 28229, 264, 568, 9120, 1312, 689, 519, 5133, 540, 16617, 4398, 630, 328, 4318, 1421, 519, 6824, 540, 28041, 11950, 1373, 12444, 1242, 264, 607, 1134, 607, 8937, 4313, 267, 543, 713, 4386, 1256, 693, 7280, 28453, 3928, 2630, 476, 2568, 575, 6440, 327, 6629, 272, 950, 7280, 10338, 568, 2219, 711, 547, 581, 12145, 1547, 4935, 267, 621, 1223, 581, 5227, 602, 12432, 7280, 268, 543, 535, 28229, 2861, 11950, 538, 513, 5223, 2673, 547, 9322, 616, 28041, 28000, 540, 3635, 8653, 269, 634, 19583, 602, 7280, 1922, 28229, 23399, 581, 5227, 630, 1478, 2582, 3560, 762, 11950, 264, 1256, 950, 3635, 8653, 6013, 1369, 476, 272, 1700, 273, 269, 276, 554, 814, 519, 3606, 5383, 540, 3246, 3152, 8112, 547, 2333, 19346, 703, 1389, 1369, 606, 2680, 952, 2556, 563, 14483, 7840, 798, 711, 18973, 9845, 547, 3824, 652, 811, 982, 476, 3445, 575, 6440, 327, 6629, 272, 540, 11950, 1496, 272, 267, 476, 273, 316, 607, 621, 568, 5156, 602, 811, 11950, 798, 711, 2709, 3606, 2640, 269, 4107, 2090, 547, 4266, 14236, 608, 18100, 19346, 16617, 3928, 723, 1044, 5340, 593, 26815, 547, 3810, 8036, 9845, 267, 855, 711, 538, 16918, 9845, 4171, 6207, 1648, 7569, 666, 581, 27723, 2362, 269, 898, 814, 1044, 4080, 602, 16918, 7814, 1235, 666, 20496, 811, 982, 476, 3445, 575, 6440, 327, 6629, 272, 540, 11950, 6140, 689, 7280, 2861, 11950, 1547, 1284, 723, 5063, 3254, 2362, 608, 18100, 19346, 16617, 1282, 12675, 16608, 3635, 538, 3810, 8036, 9845, 609, 19346, 28453, 693, 476, 6344, 575, 6440, 327, 6629, 272, 607, 3379, 547, 476, 3445, 575, 6440, 327, 6629, 272, 1547, 1717, 267, 1439, 18100, 19346, 16617, 729, 711, 2417, 838, 1563, 676, 519, 2362, 19346, 9570, 267, 543, 3976, 2436, 972, 1131, 581, 606, 3606, 2773, 4324, 3340, 27792, 269, 16480, 267, 3908, 1239, 1489, 602, 19346, 703, 1389, 540, 909, 547, 476, 6344, 575, 6440, 327, 6629, 272, 2709, 930, 2640, 936, 476, 3445, 575, 6440, 327, 6629, 272, 3823, 2022, 7721, 9052, 12508, 540, 4887, 3441, 543, 6051, 1496, 7761, 267, 476, 10463, 4940, 4935, 267, 713, 6920, 602, 538, 1978, 7653, 267, 2362, 19346, 703, 1389, 982, 519, 4867, 5227, 476, 3445, 575, 6440, 327, 6629, 272, 1223, 581, 6225, 563, 14483, 2963, 6920, 602, 7280, 6765, 547, 519, 3742, 5160, 630, 328, 4318, 1421, 4887, 264, 7182, 608, 18100, 11950, 16617, 3928, 269, 1635, 10139, 532, 15499, 10338, 676, 1102, 6748, 7280, 543, 4509, 9848, 8619, 8598, 1705, 711, 1267, 538, 2362, 608, 18100, 7280, 16617, 3928, 2073, 6466, 1102, 6748, 7280, 547, 2226, 5409, 16744, 20945, 630, 328, 4318, 1421, 476, 1015, 6515, 565, 6440, 299, 6629, 272, 264, 13087, 6091, 547, 8415, 909, 547, 476, 273, 575, 6440, 2381, 6629, 272, 540, 608, 18100, 7280, 1547, 901, 7018, 1510, 513, 5786, 538, 4887, 25026, 4094, 946, 267, 855, 2864, 609, 21109, 540, 3170, 16617, 3928, 269, 1306, 5711, 28453, 540, 1360, 1804, 5666, 540, 7280, 630, 328, 4318, 1421, 9625, 476, 273, 269, 278, 575, 6440, 2381, 6629, 272, 264, 1282, 9793, 27233, 3635, 1705, 711, 2014, 11919, 7280, 9830, 547, 4473, 15186, 543, 519, 2557, 540, 7280, 5920, 538, 519, 11528, 10009, 8445, 539, 693, 9625, 476, 272, 575, 6440, 2381, 6629, 272, 2073, 15499, 10338, 543, 5924, 10868, 540, 7280, 676, 519, 6797, 616, 519, 1034, 26363, 2188, 12145, 608, 18100, 19346, 16617, 3928, 269, 1717, 267, 972, 568, 513, 2078, 1063, 608, 18100, 19346, 16617, 3928, 543, 28453, 3928, 267, 543, 2963, 2982, 602, 28453, 3928, 2362, 982, 476, 3445, 575, 6440, 327, 6629, 272, 616, 15164, 543, 602, 713, 2164, 538, 1360, 1164, 608, 18100, 19346, 16617, 3928, 1496, 5780, 267, 476, 10602, 267, 6507, 267, 4281, 267, 8064, 4940, 8616, 267, 2963, 585, 2857, 2056, 971, 1164, 28453, 3928, 630, 328, 4318, 1421, 3436, 476, 3445, 575, 6440, 327, 6629, 272, 264, 3788, 21016, 5477, 267, 607, 972, 5526, 547, 581, 1100, 2417, 6454, 538, 2773, 2073, 1100, 838, 2130, 540, 1439, 18100, 19346, 8637, 476, 543, 267, 538, 930, 2665, 267, 10728, 19346, 8023, 1282, 3635, 666, 1267, 538, 2799, 4887, 25026, 4094, 13345, 1496, 10037, 267, 476, 11025, 4940, 898, 1223, 581, 602, 9845, 4171, 1648, 24826, 3928, 1282, 3635, 616, 1360, 1164, 543, 3976, 723, 513, 1164, 7280, 13441, 547, 4887, 1813, 547, 2799, 1973, 2095, 14354, 547, 6207, 3635, 8515, 476, 1223, 4324, 689, 19346, 28453, 3928, 602, 616, 2362, 982, 4867, 5227, 267, 855, 713, 3340, 2417, 6268, 269, 3958, 267, 621, 3788, 547, 581, 3964, 1018, 4386, 693, 14556, 885, 538, 5230, 543, 4049, 3635, 8515, 11890, 267, 607, 930, 2963, 6920, 602, 5103, 2362, 19346, 7569, 267, 608, 18100, 19346, 16617, 3928, 798, 711, 2417, 2333, 1547, 16480, 267, 693, 1459, 267, 621, 3112, 581, 5227, 547, 7369, 519, 4867, 5227, 31062, 19346, 28453, 9570, 1282, 16608, 3635, 630, 328, 4318, 1421, 909, 547, 476, 3445, 575, 6440, 327, 6629, 272, 1916, 2467, 723, 1044, 1082, 8942, 547, 2333, 608, 18100, 19346, 16617, 3928, 676, 1071, 268, 532, 3878, 540, 11950, 609, 824, 5567, 610, 9422, 9360, 267, 513, 1888, 5063, 12649, 676, 645, 4768, 543, 590, 16184, 619, 1547, 1703, 729, 1100, 1198, 689, 1071, 268, 532, 3878, 609, 3940, 2073, 7513, 476, 610, 7319, 1537, 846, 2073, 946, 540, 1114, 7280, 22169, 476, 610, 946, 540, 10425, 609, 1114, 23015, 565, 1275, 2073, 6466, 2360, 540, 14933, 1071, 268, 532, 3878, 26857, 6404, 2164, 1496, 11011, 267, 476, 10844, 4940, 2201, 519, 824, 1688, 267, 476, 275, 4374, 540, 32714, 21455, 476, 543, 19346, 1071, 268, 532, 3878, 609, 561, 268, 1173, 24100, 476, 2799, 608, 18100, 19346, 16617, 3928, 267, 23344, 547, 513, 4110, 630, 283, 476, 271, 269, 272, 575, 6440, 2381, 6629, 272, 1070, 609, 2693, 3908, 4052, 10083, 269, 2859, 5063, 267, 946, 540, 3289, 5766, 601, 268, 14127, 19346, 10425, 543, 575, 1564, 814, 1044, 2442, 1242, 267, 543, 1247, 519, 5354, 540, 2090, 1336, 713, 4640, 711, 547, 1860, 608, 18100, 19346, 16617, 3928, 1496, 4817, 267, 476, 9834, 3910, 513, 2487, 1353, 1336, 602, 972, 1223, 581, 513, 2318, 1198, 950, 1210, 9003, 1395, 657, 21839, 728, 2861, 19346, 3435, 630, 328, 4318, 1421, 1863, 7280, 267, 1863, 535, 28229, 264, 607, 10353, 547, 513, 4999, 540, 30713, 30828, 630, 328, 4318, 1421, 28915, 1712, 868, 12541, 264, 543, 1395, 657, 30828, 630, 328, 4318, 1421, 535, 28229, 264, 1547, 2859, 1382, 568, 2838, 547, 1732, 1174, 513, 1761, 10626, 540, 519, 3289, 5766, 601, 563, 273, 269, 273, 269, 272, 7025, 11790, 454, 4407, 513, 5318, 5354, 540, 519, 2090, 5941, 538, 519, 1459, 2376, 616, 1759, 593, 7459, 5342, 538, 5687, 821, 23018, 2175, 267, 9845, 616, 4122, 2838, 547, 3635, 538, 3665, 5054, 630, 324, 3052, 1421, 3834, 2135, 807, 543, 1164, 5210, 1040, 769, 2487, 1296, 267, 8441, 723, 1044, 1500, 538, 1620, 875, 891, 2825, 21500, 1860, 19346, 10307, 1282, 3635, 476, 543, 811, 960, 568, 4397, 547, 581, 17298, 538, 519, 14232, 1296, 269, 5637, 3635, 538, 3834, 2135, 807, 543, 538, 519, 3002, 2569, 519, 24913, 338, 693, 799, 519, 6302, 1063, 9793, 270, 515, 8283, 543, 5230, 270, 572, 3164, 3635, 8515, 11890, 2049, 630, 314, 4200, 267, 476, 1911, 25818, 1818, 621, 811, 2352, 547, 4612, 2090, 1813, 547, 5732, 1114, 1648, 24826, 630, 328, 4318, 1421, 950, 9236, 6114, 547, 519, 1482, 3448, 3635, 8515, 264, 610 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 968, 26780, 1590, 711, 14902, 2394, 14349, 1848, 7638, 32643, 1287, 814, 513, 14810, 827, 621, 267, 799, 649, 1294, 2706, 574, 12723, 936, 513, 3165, 2389, 1678, 538, 5420, 8929, 269, 634, 7382, 568, 513, 4666, 678, 5424, 585, 513, 8988, 5496, 269, 634, 3239, 5283, 1206, 267, 524, 3058, 538, 689, 519, 4099, 4534, 899, 513, 4670, 14816, 8781, 856, 4571, 3491, 20287, 269, 20450, 540, 26453, 582, 720, 267, 543, 14557, 26517, 4715, 12386, 267, 1831, 835, 543, 519, 1482, 563, 763, 16411, 568, 1256, 29600, 607, 606, 8317, 585, 9644, 281, 519, 10514, 15298, 568, 519, 16502, 779, 2370, 7015, 267, 4171, 5920, 909, 2394, 713, 1448, 568, 2141, 695, 709, 4765, 538, 1793, 777, 22496, 269, 1261, 568, 5189, 26101, 569, 3843, 547, 3434, 12129, 267, 678, 6235, 606, 3284, 1258, 543, 18417, 8380, 513, 14495, 15837, 538, 1010, 5023, 267, 543, 1287, 267, 607, 646, 26545, 7632, 998, 519, 24817, 5507, 24921, 547, 5838, 519, 10189, 6004, 269, 7638, 32643, 814, 2016, 1864, 267, 3478, 7938, 9231, 569, 521, 573, 25523, 22486, 676, 513, 13131, 268, 11798, 21471, 267, 1454, 547, 519, 31768, 540, 4478, 593, 19972, 619, 269, 3571, 512, 731, 1465, 3123, 519, 10514, 547, 1033, 517, 622, 593, 513, 1668, 609, 1864, 593, 4580, 267, 4553, 23589, 569, 676, 513, 2759, 547, 7638, 32643, 267, 1010, 7385, 267, 543, 1975, 27660, 28617, 269, 6145, 519, 1379, 856, 720, 602, 10741, 519, 4670, 267, 26453, 582, 720, 568, 30870, 676, 17409, 267, 855, 1631, 602, 606, 17608, 1126, 779, 3045, 8811, 7976, 568, 851, 540, 519, 24983, 267, 602, 17409, 4667, 16970, 267, 1256, 1973, 628, 1009, 344, 563, 763, 10514, 568, 513, 5734, 269, 1715, 4944, 3639, 7703, 519, 575, 1342, 344, 2212, 1467, 267, 968, 26780, 25512, 11576, 566, 892, 630, 6872, 281, 736, 1070, 543, 5507, 619, 19060, 547, 1205, 741, 12215, 269, 11427, 269, 7638, 32643, 267, 29285, 267, 18389, 619, 519, 10754, 538, 513, 546, 10270, 540, 16236, 269, 1284, 1246, 1200, 883, 519, 4437, 329, 537, 267, 1141, 267, 689, 936, 1200, 13105, 267, 649, 666, 5873, 519, 1055, 1606, 10547, 17409, 540, 1453, 538, 519, 14364, 269, 2701, 7140, 547, 519, 2427, 267, 5956, 547, 14902, 267, 1287, 7140, 1472, 4625, 267, 543, 5170, 547, 14902, 269, 634, 9258, 8929, 2982, 513, 18557, 20419, 1373, 15810, 267, 11021, 602, 11427, 269, 7638, 32643, 3323, 28617, 1354, 7487, 1018, 729, 593, 1606, 10547, 269, 5502, 267, 621, 779, 607, 952, 1352, 779, 28617, 547, 581, 3769, 267, 547, 844, 749, 1200, 32238, 607, 513, 24928, 538, 513, 9490, 2244, 269, 1677, 1100, 1992, 281, 1776, 9258, 6879, 582, 2982, 519, 13371, 2669, 540, 513, 20419, 6177, 676, 15561, 267, 543, 1200, 12837, 535, 3547, 267, 1256, 607, 519, 5304, 5170, 547, 14902, 269, 2701, 666, 1406, 2671, 519, 5304, 779, 10508, 538, 2669, 282, 1352, 568, 798, 15701, 547, 17181, 689, 713, 1973, 628, 1009, 344, 1857, 563, 19185, 1394, 693, 634, 700, 617, 3455, 630, 4572, 278, 1070, 519, 1101, 3236, 540, 519, 2048, 295, 3558, 32024, 4278, 14525, 16224, 649, 666, 1294, 513, 13974, 524, 2106, 673, 5075, 540, 519, 3703, 269, 634, 4670, 10741, 609, 513, 1395, 5653, 602, 7140, 519, 2923, 2235, 639, 1739, 2527, 4630, 8336, 883, 513, 2186, 540, 10198, 1899, 267, 693, 519, 1439, 540, 799, 568, 1857, 22906, 543, 10508, 269, 5507, 267, 4061, 267, 568, 6353, 607, 513, 968, 342, 895, 2528, 2223, 538, 799, 519, 10795, 8194, 25735, 538, 2527, 2173, 4215, 521, 583, 999, 7104, 8710, 543, 7104, 5208, 630, 306, 3881, 10045, 267, 476, 1321, 1916, 2691, 21035, 561, 3293, 670, 3558, 32024, 856, 540, 1010, 5065, 6628, 267, 1010, 8254, 8036, 593, 1010, 1007, 1753, 609, 10169, 1114, 2164, 269, 24641, 513, 3982, 5075, 540, 3703, 3961, 7173, 9229, 538, 1454, 540, 519, 3703, 670, 3558, 32024, 267, 606, 1977, 11218, 14543, 547, 6414, 13974, 998, 1010, 21035, 1974, 267, 1256, 1498, 513, 1390, 4308, 540, 873, 1118, 12666, 946, 540, 11599, 6753, 543, 1977, 11475, 4534, 17939, 1774, 584, 630, 3707, 273, 1070, 1744, 20760, 540, 513, 8935, 23336, 630, 3707, 274, 1070, 681, 792, 32001, 630, 4198, 275, 1070, 634, 654, 3994, 2494, 630, 4198, 277, 1070, 20539, 15282, 630, 4198, 279, 1070, 3345, 676, 19566, 630, 4198, 280, 1070, 5369, 334, 630, 3422, 271, 1070, 543, 634, 20002, 630, 3422, 274, 1070, 538, 1880, 269, 3571, 4892, 616, 1100, 1447, 19832, 609, 10795, 4715, 12386, 267, 855, 741, 968, 331, 5922, 892, 2488, 1447, 540, 606, 721, 268, 951, 639, 2389, 1335, 9352, 982, 513, 811, 7493, 2203, 602, 14753, 811, 24080, 269, 634, 1977, 670, 3558, 32024, 21040, 17939, 582, 720, 779, 2203, 540, 519, 1973, 628, 1009, 344, 4715, 1807, 3564, 519, 10148, 540, 3084, 3961, 269, 0, 306, 12944, 267, 4989, 476, 2537, 267, 476, 1001, 272, 454, 1432, 616, 519, 2930, 6730, 2804, 14759, 602, 616, 1818, 519, 1007, 6932, 2923, 2853, 2009, 286, 2142, 1808, 1765, 2254, 1175, 4950, 267, 855, 875, 267, 1018, 19206, 267, 2326, 267, 3092, 269, 6056, 827, 824, 4066, 267, 9897, 267, 15408, 267, 6049, 267, 543, 4244, 1648, 2959, 2676, 21413, 2243, 267, 519, 2582, 1034, 2930, 7004, 568, 519, 12829, 17490, 269, 15526, 814, 835, 267, 3025, 2115, 835, 269, 634, 1699, 1158, 2647, 5223, 540, 1591, 11436, 568, 476, 273, 1591, 11436, 585, 1169, 2582, 2244, 1899, 563, 263, 16655, 6202, 267, 476, 1220, 280, 264, 4595, 519, 12829, 17490, 568, 2877, 547, 1118, 543, 4309, 7125, 267, 1004, 2356, 3207, 609, 519, 6049, 676, 741, 5127, 267, 1577, 4805, 4163, 621, 16382, 789, 979, 269, 634, 2804, 4483, 568, 538, 22485, 1942, 540, 2694, 267, 5631, 519, 13365, 602, 2196, 519, 13013, 269, 6875, 513, 4605, 593, 707, 12829, 17490, 267, 4945, 513, 7735, 543, 972, 621, 568, 593, 9365, 585, 3025, 547, 1294, 269, 634, 1482, 666, 581, 2944, 609, 12108, 607, 1134, 607, 824, 1514, 2923, 4609, 563, 21446, 894, 1648, 2959, 1131, 581, 1250, 1297, 835, 2804, 7004, 3544, 540, 519, 5769, 269, 9891, 543, 2842, 1379, 723, 2943, 547, 581, 19122, 538, 606, 22237, 543, 4052, 6752, 269, 8786, 267, 789, 2291, 267, 855, 789, 616, 1360, 7199, 547, 3132, 543, 2322, 883, 5106, 269, 3958, 267, 741, 2450, 4805, 1131, 840, 2850, 1034, 1004, 689, 2348, 873, 538, 741, 5321, 269, 901, 538, 513, 15044, 1259, 5012, 547, 1312, 22237, 607, 1134, 607, 1570, 19206, 269, 1403, 7791, 1648, 941, 547, 581, 2111, 547, 4434, 538, 519, 3621, 6712, 540, 2504, 607, 519, 2780, 1705, 267, 621, 1131, 9004, 519, 991, 585, 8093, 10173, 267, 7551, 21006, 20525, 4488, 338, 17945, 593, 519, 1158, 267, 1577, 4805, 519, 5434, 6028, 519, 1604, 269, 2060, 519, 7791, 1648, 2959, 1131, 2097, 519, 2326, 2877, 547, 1711, 519, 3457, 269, 1284, 723, 2938, 3549, 971, 607, 22126, 267, 27311, 543, 1866, 1118, 17542, 540, 9489, 689, 13365, 607, 1507, 607, 610, 4130, 982, 519, 9133, 540, 513, 4050, 269, 1403, 713, 1223, 1570, 1125, 6466, 621, 729, 15164, 547, 1711, 891, 14595, 1648, 2959, 693, 513, 14949, 3902, 267, 606, 3003, 1007, 2344, 1131, 1930, 909, 563, 6124, 6932, 2923, 2853, 616, 711, 1007, 2035, 2705, 269, 4658, 2743, 593, 26969, 2593, 543, 552, 295, 1301, 3415, 2593, 282, 789, 2743, 593, 9365, 543, 824, 4609, 269, 1215, 568, 713, 1114, 982, 5870, 2576, 538, 513, 15547, 267, 513, 3781, 743, 889, 610, 1256, 513, 2706, 21466, 286, 634, 1523, 568, 519, 1482, 282, 2705, 519, 28379, 814, 4957, 1813, 547, 519, 7525, 2702, 543, 26687, 640, 602, 1004, 723, 609, 519, 5769, 269, 634, 17498, 728, 547, 5870, 2576, 593, 519, 5769, 729, 13269, 538, 513, 20419, 602, 594, 5063, 1224, 282, 972, 729, 513, 4605, 540, 513, 1762, 8004, 609, 519, 1309, 1632, 540, 968, 1889, 564, 476, 1321, 1032, 2025, 595, 785, 344, 1848, 12989, 621, 729, 513, 11739, 1794, 344, 2025, 812, 538, 513, 18660, 512, 6879, 7398, 609, 513, 524, 580, 541, 538, 1010, 5023, 602, 1224, 267, 968, 25603, 595, 785, 344, 779, 5769, 476, 1321, 1032, 2025, 8004, 3659, 1848, 4475, 267, 519, 1523, 814, 10416, 7283, 519, 1482, 267, 519, 6937, 602, 519, 5769, 3142, 3006, 29387, 519, 1434, 563, 16655, 6202, 267, 645, 269, 630, 1220, 280, 1040, 2910, 7419, 307, 6020, 2464, 23166, 5990, 670, 26996, 12239, 17241, 2316, 302, 5508, 595, 21822, 11682, 2177, 2464, 9215, 700, 13263, 700, 12114, 23140, 4041, 15771, 2177, 2464, 269, 8158, 4989, 476, 1001, 272, 267, 689, 17323, 700, 1235, 281, 5291, 2517, 4178, 269, 613, 1748, 2643, 1235, 2593, 270, 4289, 2641, 333, 11258, 454, 8139, 1715, 9012, 454, 300, 2664, 2329, 267, 5409, 9712, 2329, 543, 32598, 666, 581, 1031, 607, 2474, 547, 4766, 1114, 2010, 540, 2923, 607, 1134, 607, 519, 1482, 1826, 540, 2923, 269, 634, 11846, 16503, 3603, 3381, 568, 513, 6305, 1383, 540, 713, 269, 4635, 519, 954, 268, 5562, 3381, 538, 922, 1007, 7317, 3898, 267, 519, 12139, 3091, 519, 8226, 540, 4059, 2329, 585, 922, 1007, 3898, 267, 855, 849, 6411, 607, 513, 23314, 540, 519, 13746, 5409, 9712, 2329, 269, 2311, 519, 1482, 942, 267, 6182, 639, 514, 849, 6811, 602, 568, 840, 4364, 2787, 1317, 1079, 1360, 1114, 6990, 616, 1373, 6994, 2213, 538, 835, 267, 519, 27317, 543, 519, 1007, 3898, 585, 11846, 16503, 3603, 563, 297, 523, 9469, 543, 12157, 614, 2709, 909, 606, 1383, 540, 32598, 607, 513, 3818, 2173, 4215, 7131, 681, 6865, 6466, 782, 1344, 568, 1582, 8659, 1369, 519, 7131, 3294, 1510, 2348, 547, 1413, 693, 3544, 2959, 585, 1344, 269, 901, 568, 606, 1383, 540, 606, 4587, 1106, 540, 2923, 269, 6182, 639, 514, 593, 519, 824, 1688, 2829, 602, 32598, 1281, 711, 723, 547, 581, 1582, 8659, 543, 949, 2270, 513, 10316, 610, 6404, 2923, 602, 21613, 824, 2923, 563, 297, 523, 9469, 11828, 840, 4364, 2787, 607, 1134, 538, 519, 2631, 540, 519, 11846, 16503, 3603, 3381, 676, 2348, 519, 27317, 1404, 519, 813, 267, 855, 1287, 849, 814, 519, 2702, 547, 1404, 513, 3014, 1247, 519, 3593, 568, 17265, 519, 12139, 267, 7551, 632, 25977, 621, 840, 32491, 4364, 2170, 2032, 563, 763, 3381, 7108, 6226, 3455, 729, 849, 5941, 607, 513, 1106, 540, 32598, 1813, 547, 519, 1413, 543, 2511, 540, 8930, 5346, 12139, 6227, 538, 519, 4282, 1247, 519, 3381, 4249, 269, 5637, 23514, 9469, 543, 6182, 639, 514, 3858, 602, 1369, 32598, 267, 972, 568, 513, 5386, 1899, 547, 3444, 540, 14944, 1456, 519, 840, 4364, 18469, 1826, 540, 782, 540, 938, 2923, 4205, 563, 763, 2376, 729, 1360, 4277, 543, 621, 1705, 1491, 513, 1906, 2053, 547, 1224, 1813, 547, 519, 1249, 602, 519, 1079, 9543, 5443, 17591, 539, 1142, 824, 593, 1896, 6589, 543, 15069, 12038, 538, 6644, 267, 540, 799, 713, 1888, 568, 269, 898, 3576, 1896, 13220, 547, 8275, 602, 1082, 3029, 540, 2405, 328, 2329, 666, 581, 18084, 543, 6404, 269, 594, 2523, 17329, 875, 789, 6045, 519, 16166, 609, 519, 2404, 7044, 267, 2705, 1256, 972, 789, 1185, 513, 1906, 1114, 8369, 543, 930, 1360, 15454, 2127, 269, 898, 568, 6654, 2705, 602, 1312, 2367, 3576, 513, 2603, 540, 4674, 547, 711, 1152, 1020, 741, 8369, 267, 855, 741, 5967, 729, 1134, 5129, 269, 630, 297, 523, 9469, 267, 476, 1001, 272, 994, 297, 523, 9469, 267, 670, 269, 630, 1001, 272, 267, 4728, 476, 278, 1040, 589, 1121, 23672, 267, 6566, 23672, 267, 543, 1098, 9712, 730, 6643, 609, 9400, 6182, 639, 514, 630, 4820, 594, 1299, 4083, 1040, 8158, 476, 1001, 272, 267, 689, 4762, 11970, 540, 606, 3600, 320, 6363, 534, 281, 5291, 2517, 1156, 787, 329, 523, 9469, 3820, 270, 1001, 272, 270, 6734, 21669, 318, 8145, 23672, 318, 2181, 9712, 730, 318, 663, 4671, 11258, 0, 11386, 267, 8331, 543, 630, 4785, 6938, 264, 4956, 547, 22010, 519, 1699, 17747, 14732, 29993, 17270, 3590, 8704, 538, 8331, 779, 2549, 525, 3194, 4741, 609, 519, 667, 8862, 1511, 476, 1220, 271, 304, 563, 4910, 792, 7815, 2919, 3689, 268, 1197, 4400, 8820, 17747, 1849, 11238, 27620, 269, 1358, 723, 16309, 538, 18187, 908, 519, 22726, 602, 13739, 1344, 563, 23873, 267, 8225, 543, 7969, 3744, 723, 1336, 519, 1101, 2963, 602, 938, 1158, 568, 711, 1018, 649, 2219, 621, 729 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3965, 454, 26211, 2989, 1239, 269, 634, 561, 4711, 2715, 330, 272, 267, 330, 273, 267, 330, 274, 348, 543, 7222, 2203, 6724, 616, 6059, 2901, 676, 10893, 19569, 367, 273, 267, 610, 21924, 519, 21714, 10171, 269, 13749, 776, 6519, 4578, 15350, 10022, 30433, 10374, 2287, 590, 2752, 6882, 2715, 312, 339, 348, 2715, 1805, 348, 2715, 313, 339, 348, 29358, 9049, 292, 23004, 666, 1287, 581, 17223, 1759, 593, 519, 19034, 3631, 269, 1401, 281, 630, 14701, 2969, 9391, 269, 4811, 300, 1040, 5983, 26511, 3436, 8121, 2752, 269, 5983, 4751, 1985, 476, 277, 3275, 1210, 544, 284, 1724, 630, 2381, 4476, 654, 301, 13065, 1040, 27084, 6885, 3947, 3877, 780, 276, 269, 273, 634, 4591, 339, 8862, 26262, 630, 295, 310, 264, 23990, 454, 1607, 5690, 568, 5097, 14018, 585, 3126, 602, 723, 513, 12725, 5276, 7678, 855, 1100, 4005, 1275, 269, 634, 2596, 2856, 568, 547, 1450, 585, 513, 942, 8686, 776, 532, 7678, 676, 28408, 519, 23004, 547, 723, 519, 1106, 281, 1141, 267, 568, 519, 6059, 1377, 693, 942, 512, 267, 543, 568, 519, 6059, 9386, 693, 942, 512, 269, 6145, 12825, 5347, 532, 267, 649, 1631, 1491, 519, 6059, 1377, 693, 942, 512, 266, 272, 547, 581, 513, 22051, 3328, 540, 519, 4767, 543, 9472, 2418, 267, 1775, 4318, 269, 6684, 267, 519, 6059, 9386, 693, 942, 512, 266, 272, 568, 2016, 676, 10484, 4415, 519, 2067, 3355, 2175, 2676, 284, 962, 273, 267, 543, 815, 962, 273, 910, 962, 272, 267, 543, 676, 7446, 513, 543, 536, 547, 7413, 519, 2040, 540, 10945, 540, 519, 835, 9912, 12605, 6959, 267, 630, 312, 339, 910, 623, 339, 268, 272, 312, 339, 264, 273, 267, 519, 16571, 687, 585, 543, 666, 581, 12193, 585, 512, 284, 273, 267, 2507, 267, 333, 269, 634, 23004, 1287, 723, 519, 1106, 281, 1401, 281, 16692, 2969, 9391, 269, 4811, 300, 5983, 26511, 3436, 4591, 339, 8862, 26262, 269, 5983, 4751, 1985, 476, 277, 3275, 269, 27084, 6885, 3947, 3877, 780, 276, 269, 274, 634, 17897, 531, 4591, 339, 8862, 26262, 630, 17239, 310, 264, 23990, 454, 2005, 779, 2312, 689, 519, 3105, 1383, 602, 519, 670, 310, 23990, 1281, 711, 6023, 3126, 609, 4005, 1275, 1360, 1134, 269, 1403, 649, 917, 519, 1974, 630, 323, 264, 540, 938, 3126, 267, 670, 310, 666, 581, 9168, 547, 1491, 713, 883, 2272, 269, 769, 713, 12119, 4528, 540, 670, 310, 267, 519, 9472, 1599, 568, 9168, 547, 281, 1141, 543, 616, 607, 1354, 267, 543, 568, 519, 6059, 12119, 5057, 693, 942, 512, 269, 2060, 519, 1482, 16571, 687, 585, 607, 538, 670, 310, 267, 649, 12189, 519, 16571, 542, 585, 2687, 547, 267, 543, 1039, 519, 3606, 16571, 542, 585, 2073, 692, 2304, 11530, 748, 547, 670, 310, 267, 2067, 3355, 2175, 3180, 547, 1376, 1055, 519, 16571, 687, 267, 543, 519, 5347, 532, 6724, 2715, 320, 14720, 267, 326, 9574, 616, 2899, 1586, 6074, 547, 7413, 519, 2040, 540, 10945, 540, 519, 835, 9912, 12605, 6959, 269, 634, 23004, 1287, 723, 519, 1106, 281, 1401, 281, 630, 14701, 2969, 9391, 269, 4811, 300, 1040, 5983, 26511, 3436, 17897, 531, 4591, 339, 8862, 26262, 269, 5983, 4751, 1985, 476, 277, 3275, 269, 27084, 6885, 3947, 3877, 780, 276, 269, 275, 19805, 513, 5983, 26511, 23990, 454, 1607, 568, 513, 2352, 2243, 256, 7464, 1239, 1281, 711, 1246, 1022, 2203, 267, 865, 10545, 9049, 292, 23004, 949, 711, 538, 1249, 723, 10545, 9049, 292, 269, 2368, 2489, 5796, 666, 2705, 581, 2016, 269, 3689, 2697, 1018, 2268, 540, 9472, 5470, 568, 1034, 3617, 585, 519, 1880, 3510, 693, 1688, 269, 2290, 666, 946, 1611, 16302, 5470, 267, 1611, 6207, 5470, 267, 835, 9912, 5470, 267, 476, 1321, 9912, 5470, 267, 3092, 269, 32114, 2614, 630, 7290, 5566, 264, 1239, 568, 2139, 267, 649, 666, 1287, 8399, 607, 5205, 281, 744, 2466, 519, 2063, 737, 7422, 689, 519, 3126, 267, 547, 3489, 513, 4389, 1239, 1305, 1572, 519, 2866, 1305, 269, 2422, 513, 3099, 540, 6620, 543, 20925, 2553, 547, 3589, 519, 1985, 737, 2116, 585, 519, 2866, 1305, 780, 3086, 5635, 519, 11236, 547, 519, 4890, 7691, 2418, 630, 1492, 1449, 1305, 1070, 1210, 606, 3617, 21205, 971, 607, 3597, 1611, 16302, 5470, 630, 305, 5960, 292, 264, 681, 5960, 292, 815, 2422, 519, 20925, 4480, 270, 14607, 3596, 332, 602, 5795, 519, 10545, 1871, 540, 681, 5960, 292, 585, 519, 1449, 1305, 267, 543, 946, 621, 593, 519, 3312, 1239, 1305, 630, 10177, 1456, 266, 11687, 1305, 264, 547, 3489, 519, 5551, 856, 6361, 1606, 2217, 23004, 269, 5564, 21725, 2409, 666, 849, 581, 2808, 267, 630, 2419, 9532, 476, 276, 543, 476, 277, 1040, 1401, 281, 630, 14701, 2969, 9391, 269, 4811, 300, 1040, 634, 3758, 16692, 2969, 9391, 293, 269, 4811, 300, 3568, 519, 3312, 3126, 7132, 519, 1985, 476, 277, 7691, 2418, 962, 10463, 267, 2507, 267, 312, 4281, 269, 4635, 16692, 2969, 9391, 269, 4811, 300, 267, 649, 3489, 623, 7761, 312, 10463, 267, 2507, 267, 303, 7761, 312, 4281, 3842, 1142, 540, 519, 1739, 2409, 630, 663, 12337, 7222, 681, 5960, 292, 779, 17107, 20288, 26511, 6396, 681, 5960, 292, 454, 295, 310, 590, 2752, 296, 7246, 2203, 689, 4427, 3553, 10790, 263, 1724, 264, 689, 15562, 310, 8121, 2752, 630, 763, 476, 277, 7691, 2418, 540, 519, 3126, 267, 962, 10463, 267, 2507, 267, 312, 4281, 267, 616, 281, 476, 6507, 280, 279, 267, 476, 278, 2412, 277, 267, 476, 279, 3607, 274, 267, 476, 279, 5379, 271, 267, 476, 280, 2641, 278, 267, 476, 280, 4029, 277, 4700, 634, 8121, 2752, 5690, 1281, 15186, 1732, 982, 519, 1866, 585, 713, 1239, 780, 276, 269, 276, 5983, 4751, 16424, 1403, 519, 3312, 2203, 19034, 547, 519, 3126, 909, 547, 942, 562, 568, 547, 581, 1031, 585, 5571, 12605, 607, 1007, 1239, 2501, 538, 267, 621, 949, 6961, 3730, 547, 6895, 519, 835, 9912, 9472, 6959, 585, 2963, 602, 713, 2203, 568, 1100, 3476, 3617, 269, 2334, 568, 267, 585, 512, 284, 333, 266, 272, 19885, 266, 273, 267, 2507, 267, 649, 6895, 519, 3126, 281, 1306, 1279, 607, 519, 3312, 2203, 568, 1869, 3617, 267, 519, 3126, 1058, 8858, 519, 4162, 540, 513, 654, 301, 5311, 269, 4935, 835, 666, 6895, 519, 3732, 8028, 293, 543, 623, 3722, 293, 540, 713, 3384, 3126, 585, 4191, 540, 8373, 267, 1775, 4318, 269, 1313, 665, 528, 21975, 269, 7151, 281, 17325, 725, 585, 512, 284, 272, 267, 2507, 267, 1911, 941, 20533, 689, 606, 10790, 263, 272, 264, 2203, 609, 19569, 365, 284, 271, 269, 280, 269, 6333, 1018, 4523, 538, 519, 1739, 1079, 7653, 7222, 547, 519, 12625, 540, 1007, 1239, 585, 512, 284, 6200, 267, 2507, 267, 1220, 267, 31827, 689, 1079, 1114, 3631, 780, 19111, 476, 272, 281, 1715, 1239, 5170, 547, 1246, 519, 1482, 10790, 263, 272, 264, 2203, 692, 19111, 476, 273, 281, 1715, 1239, 17176, 547, 606, 8121, 263, 272, 264, 2203, 609, 19569, 355, 284, 271, 269, 280, 692, 278, 269, 6348, 15035, 17738, 634, 19335, 3631, 865, 2484, 4988, 538, 713, 1576, 616, 5276, 769, 2470, 267, 602, 568, 789, 666, 581, 6829, 607, 267, 2356, 609, 2715, 313, 339, 348, 21714, 269, 630, 311, 339, 568, 1287, 513, 21714, 5276, 1184, 1040, 6270, 3157, 723, 513, 1297, 540, 3601, 602, 616, 1419, 1336, 547, 581, 26991, 676, 4767, 942, 3126, 281, 5384, 268, 597, 516, 951, 2225, 269, 769, 513, 21714, 5276, 1184, 267, 630, 311, 339, 267, 2507, 267, 311, 339, 266, 327, 264, 814, 519, 1482, 3892, 607, 630, 311, 339, 266, 327, 267, 2507, 267, 311, 339, 1070, 585, 1022, 554, 285, 271, 630, 10849, 711, 8209, 8449, 22274, 1040, 8061, 9911, 689, 519, 942, 3146, 951, 2225, 3959, 538, 4767, 942, 3126, 616, 6700, 676, 3732, 10092, 602, 4473, 547, 741, 3193, 9874, 543, 2887, 2476, 693, 1114, 3928, 269, 1401, 281, 590, 7419, 9915, 302, 4811, 269, 4811, 300, 780, 289, 584, 7370, 540, 856, 2391, 2418, 616, 4749, 4767, 538, 4052, 942, 3126, 267, 543, 616, 2938, 849, 538, 519, 3732, 10092, 540, 22357, 3631, 269, 1358, 616, 10355, 2938, 538, 519, 3732, 10092, 540, 21714, 5276, 3157, 269, 1401, 281, 661, 9818, 273, 269, 4811, 300, 269, 11545, 4939, 7024, 540, 22337, 13643, 11633, 12039, 689, 476, 278, 270, 272, 270, 9032, 547, 476, 275, 270, 280, 270, 4200, 269, 21744, 25359, 269, 3509, 4767, 942, 3126, 267, 3226, 2883, 3283, 267, 8858, 5712, 1282, 799, 789, 616, 1447, 22150, 610, 811, 4756, 630, 14179, 8684, 1070, 4470, 593, 741, 2250, 1686, 269, 901, 13829, 540, 3589, 1464, 593, 2250, 1686, 3112, 581, 24018, 609, 513, 5276, 942, 3126, 267, 2094, 519, 5934, 554, 9912, 9049, 292, 568, 4830, 540, 519, 2250, 269, 634, 8121, 6224, 543, 717, 24086, 22357, 3631, 649, 616, 827, 547, 2015, 267, 798, 1491, 883, 2272, 519, 7872, 602, 1978, 2250, 12583, 949, 11863, 811, 4977, 20925, 982, 1866, 267, 543, 666, 2697, 519, 6381, 896, 799, 713, 666, 581, 4397, 547, 2049, 780, 278, 269, 272, 31692, 5109, 9737, 654, 301, 543, 594, 2839, 10022, 454, 2414, 10646, 1063, 5276, 543, 22357, 3157, 267, 649, 786, 991, 547, 581, 2111, 547, 6430, 538, 1880, 950, 513, 654, 301, 5311, 568, 849, 594, 2839, 269, 630, 1607, 568, 1152, 606, 3390, 585, 1875, 8566, 320, 11701, 3157, 267, 2094, 519, 1079, 2035, 14626, 728, 6382, 4700, 15845, 585, 13829, 538, 513, 654, 301, 5311, 267, 666, 581, 5833, 676, 3168, 693, 519, 8028, 293, 540, 519, 6207, 2418, 543, 5924, 10945, 540, 519, 1184, 269, 1280, 3236, 267, 952, 2715, 311, 339, 348, 9625, 654, 301, 263, 271, 267, 17385, 273, 264, 609, 13113, 476, 275, 628, 4090, 267, 649, 666, 1413, 693, 267, 2073, 519, 8028, 293, 540, 2715, 311, 339, 273, 348, 693, 18848, 554, 281, 1403, 585, 930, 1875, 14706, 561, 4711, 554, 267, 649, 666, 9959, 2715, 311, 339, 348, 568, 711, 594, 2839, 269, 630, 1607, 568, 519, 4493, 540, 519, 5062, 8867, 617, 543, 9149, 1449, 540, 3296, 476, 272, 269, 280, 4700, 1403, 585, 782, 1875, 14706, 561, 4711, 554, 267, 972, 568, 13385, 2963, 547, 9959, 2715, 311, 339, 348, 568, 711, 594, 2839, 269, 630, 2304, 594, 2839, 654, 301, 5311, 1131, 723, 4010, 713, 2623, 4700, 6684, 585, 692, 2750, 281, 630, 6224, 288, 5308, 269, 570, 15551, 1040, 12726, 8028, 293, 18025, 3722, 293, 5267, 654, 301, 454, 2750, 281, 630, 6224, 288, 5308, 269, 4811, 300, 1040, 12726, 8028, 293, 18025, 3722, 293, 5267, 654, 301, 269, 8028, 293, 540, 10945, 1299, 2612, 2418, 5267, 13829, 269, 24511, 281, 2473, 333, 815, 275, 311, 333, 268, 272, 263, 272, 268, 2473, 333, 268, 272, 1070, 513, 15002, 2065, 630, 531, 18464, 26093, 264, 5311, 256, 476, 278, 269, 273, 634, 8121, 6224, 9638, 264, 6713, 1403, 623, 339, 18575, 519, 3902, 540, 513, 2883, 3126, 693, 942, 512, 267, 519, 2132, 693, 942, 512, 267, 2098, 339, 267, 568, 519, 3448, 2744, 267, 3989, 1585, 569, 607, 267, 610, 519, 20743, 23476, 269, 1280, 9781, 519, 4657, 25359, 4749, 4767, 538, 971, 3126, 267, 1621, 548, 630, 2735, 273, 264, 5189, 519, 630, 852, 2442, 264, 16790, 8802, 4809, 16448, 531, 670, 2678, 657, 1027, 2880, 1184, 540, 1931, 533, 267, 8121, 6224, 9638, 1070, 607, 513, 19335, 3070, 267, 2715, 313, 339, 9574, 540, 519, 4834, 10484, 5976, 554, 339, 267, 519, 13065, 540, 2098, 339, 19585, 593, 519, 2250, 267, 2016, 676, 2676, 663, 19569, 350, 271, 285, 271, 267, 543, 19569, 350, 329, 19749, 354, 271, 267, 795, 284, 272, 267, 2507, 267, 335, 269, 3816, 10225, 16448, 531, 13065, 267, 554, 339, 267, 3006, 20922, 21566, 339, 273, 269, 1403, 649, 4009, 519, 1101, 3830, 543, 10208, 713, 3830, 689, 621, 267, 649, 1294, 602, 606, 8121, 6224, 9638, 264, 25389, 267, 1141, 642, 339, 284, 554, 339, 263, 564, 273, 268, 272, 1070, 568, 513, 654, 301, 5311, 269, 4935, 267, 952, 2073, 519, 16302, 8121, 6224, 9638, 264, 1184, 267, 2715, 313, 339, 273, 9574, 5205, 606, 8121, 9638, 1040, 901, 1249, 666, 581, 1031, 585, 8121, 6224, 2203, 8446, 267, 676, 8524, 532, 519, 3732, 623, 3722, 293, 540, 2715, 313, 339, 273, 348, 780, 2005, 666, 581, 3254, 602, 2715 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2042, 267, 1287, 621, 779, 942, 547, 1491, 2962, 1354, 3665, 9552, 4386, 269, 1703, 616, 513, 19625, 540, 5521, 15969, 602, 596, 666, 946, 538, 707, 13452, 4481, 547, 1521, 7952, 19095, 602, 666, 581, 1336, 693, 1022, 2199, 8800, 4558, 269, 1403, 596, 2461, 711, 2386, 952, 519, 7952, 19095, 616, 519, 1966, 267, 930, 4648, 2303, 546, 18804, 513, 19943, 540, 12853, 344, 1216, 609, 8670, 31290, 28052, 550, 936, 513, 1507, 1858, 540, 707, 15989, 269, 10738, 4557, 3764, 267, 596, 1058, 1294, 30746, 8375, 547, 519, 2627, 563, 12441, 596, 917, 827, 7952, 19095, 543, 519, 3441, 789, 666, 2014, 286, 9523, 609, 721, 707, 4555, 538, 519, 8292, 3296, 256, 1306, 2141, 267, 952, 596, 991, 930, 948, 3478, 707, 15989, 1394, 538, 9133, 31795, 3337, 1310, 7952, 11988, 3441, 267, 596, 666, 2141, 1289, 593, 721, 693, 24732, 727, 4521, 333, 5516, 269, 0, 14112, 720, 540, 20522, 1898, 11955, 723, 1950, 543, 12947, 716, 3645, 3123, 269, 769, 2342, 267, 891, 1419, 4125, 2298, 543, 5663, 2152, 267, 1519, 1970, 20656, 540, 20522, 11955, 543, 4057, 8989, 6127, 269, 769, 593, 19223, 267, 538, 1880, 267, 1141, 972, 616, 1419, 1100, 8925, 547, 891, 11955, 267, 22520, 10460, 513, 3463, 547, 3461, 3106, 607, 789, 2569, 15984, 547, 3797, 543, 3970, 519, 2702, 540, 13500, 547, 1683, 2500, 2126, 1036, 6036, 563, 28403, 2358, 602, 713, 3390, 3112, 581, 9619, 676, 1022, 2582, 2197, 593, 922, 1378, 267, 11536, 19616, 22555, 519, 5870, 538, 29761, 547, 3142, 1927, 2342, 781, 7986, 8639, 593, 519, 1888, 543, 5397, 13447, 539, 543, 10319, 2962, 693, 9167, 1377, 563, 2464, 19616, 5518, 8277, 335, 21741, 518, 1676, 334, 29499, 281, 834, 14112, 1137, 11874, 1764, 1312, 519, 1072, 540, 3864, 4961, 543, 519, 6940, 540, 519, 3782, 1949, 269, 634, 3510, 568, 13497, 18363, 593, 2860, 2550, 267, 607, 519, 11955, 4299, 676, 22520, 723, 1906, 8810, 2500, 8925, 610, 1100, 4244, 693, 782, 269, 2334, 781, 1946, 11536, 19616, 568, 3981, 532, 513, 1576, 540, 2962, 609, 1883, 3268, 547, 581, 3144, 538, 519, 2282, 2104, 4799, 16449, 824, 3800, 267, 11536, 19616, 15565, 602, 513, 1455, 3864, 4214, 540, 4915, 22520, 581, 2813, 543, 602, 9167, 7400, 7580, 4566, 543, 3527, 581, 5189, 547, 4431, 547, 971, 22520, 269, 634, 5980, 786, 849, 12167, 602, 267, 607, 513, 1101, 1271, 1900, 267, 606, 9167, 17253, 1353, 581, 2919, 593, 519, 3390, 543, 922, 936, 31186, 1764, 593, 519, 3864, 5742, 563, 21893, 568, 513, 1857, 1072, 6595, 2437, 21741, 518, 1676, 334, 3746, 2213, 269, 834, 763, 3864, 5742, 814, 519, 16169, 547, 2232, 2344, 14286, 538, 713, 1858, 267, 543, 11536, 19616, 666, 581, 513, 2178, 7649, 538, 3384, 4052, 3435, 547, 2061, 22520, 2469, 4464, 269, 594, 993, 8746, 602, 519, 5717, 538, 29761, 786, 948, 547, 2990, 20522, 1898, 11955, 607, 513, 1883, 2797, 10862, 585, 519, 9167, 23328, 540, 519, 1985, 2947, 1296, 4799, 268, 9732, 5240, 6239, 454, 268, 9732, 15019, 5240, 454, 268, 9732, 26257, 2657, 5240, 454, 268, 9732, 5240, 21145, 589, 19053, 630, 4335, 266, 994, 268, 9732, 2657, 5240, 543, 4964, 24793, 454, 268, 9732, 5240, 25201, 454, 268, 9732, 5240, 17421, 20155, 454, 268, 9732, 27999, 543, 25682, 454, 268, 9732, 2657, 13772, 454, 268, 9732, 2657, 769, 10312, 454, 268, 9732, 18270, 908, 5020, 454, 268, 9732, 27915, 2657, 5240, 454, 268, 9732, 5240, 3245, 4033, 8249, 454, 268, 9732, 3127, 7981, 454, 268, 9732, 5240, 11473, 20155, 454, 268, 9732, 2405, 785, 807, 1401, 5477, 910, 19877, 338, 543, 769, 3178, 18614, 0, 14071, 3136, 547, 6895, 519, 1072, 540, 519, 610, 8619, 28419, 543, 621, 3788, 538, 513, 7123, 2783, 2223, 3081, 27950, 4911, 639, 267, 4972, 540, 11094, 630, 291, 8016, 264, 13149, 15661, 15440, 563, 14071, 2461, 1360, 6857, 519, 3259, 540, 942, 519, 28419, 814, 1044, 538, 938, 1416, 267, 2476, 689, 922, 10540, 543, 3993, 267, 568, 1631, 936, 513, 3018, 269, 2334, 779, 711, 4998, 585, 971, 513, 1762, 3552, 3662, 563, 2108, 307, 517, 697, 519, 610, 8619, 786, 2611, 538, 519, 10151, 8066, 7535, 267, 855, 649, 786, 2689, 3681, 14182, 6640, 267, 28809, 538, 4365, 2175, 267, 1022, 1072, 21855, 827, 519, 26869, 538, 519, 3771, 13118, 267, 543, 519, 28419, 779, 10304, 563, 10527, 1072, 543, 10304, 540, 519, 28419, 616, 3844, 547, 938, 3375, 1818, 3034, 16966, 547, 519, 3135, 3788, 11658, 547, 2569, 2566, 585, 519, 610, 8619, 28419, 563, 17220, 4966, 602, 667, 8016, 814, 1044, 17874, 609, 1631, 3494, 519, 28419, 949, 581, 1063, 476, 273, 1700, 277, 3275, 540, 2085, 267, 2864, 982, 476, 275, 1700, 277, 3275, 607, 1185, 1044, 8385, 16143, 269, 634, 2085, 540, 519, 610, 8619, 28419, 6923, 11887, 875, 1279, 519, 28419, 2115, 1416, 543, 8023, 563, 8310, 10732, 630, 1556, 5147, 1070, 519, 610, 8619, 28419, 729, 18843, 539, 593, 7725, 2282, 1773, 20810, 2023, 267, 5087, 540, 654, 2454, 2023, 269, 1323, 5571, 5106, 547, 1416, 585, 519, 610, 8619, 28419, 568, 1373, 3366, 676, 667, 8016, 609, 1489, 689, 2107, 8619, 3194, 11565, 270, 2662, 1446, 1763, 26443, 11565, 267, 2199, 1775, 342, 328, 31436, 5953, 16210, 1677, 320, 681, 836, 520, 4275, 267, 543, 519, 2199, 2146, 563, 291, 8016, 267, 14830, 12579, 543, 1733, 1446, 1763, 26443, 270, 7775, 8619, 3194, 11565, 616, 8391, 2834, 5796, 689, 3486, 610, 8619, 4966, 543, 14830, 12579, 1107, 1344, 18445, 4105, 607, 3664, 616, 1500, 269, 0, 763, 9608, 4886, 3004, 14982, 454, 763, 3950, 518, 568, 513, 2241, 543, 2500, 1907, 585, 1153, 3401, 547, 6895, 519, 2123, 1646, 540, 1053, 936, 942, 282, 3850, 596, 547, 3950, 2043, 543, 1114, 16649, 2176, 543, 4061, 20688, 707, 1489, 267, 4058, 707, 6437, 543, 29599, 3091, 9935, 563, 1692, 568, 707, 1053, 262, 8171, 286, 6015, 286, 8404, 888, 1432, 6496, 519, 9608, 4886, 3004, 14982, 1684, 585, 12140, 888, 11900, 18944, 676, 519, 476, 276, 18467, 547, 4270, 7424, 267, 519, 9608, 4886, 3004, 14982, 568, 513, 2241, 3562, 14025, 4199, 1141, 1053, 2347, 513, 5619, 1169, 3368, 3856, 610, 2165, 543, 1210, 713, 1344, 267, 2143, 5359, 616, 16432, 11744, 519, 3356, 1053, 723, 1500, 563, 1692, 6496, 519, 9608, 4886, 3004, 14982, 6435, 12140, 888, 268, 16680, 543, 6895, 2123, 1646, 936, 942, 585, 1142, 1126, 454, 268, 12763, 906, 1331, 281, 8171, 267, 11348, 538, 1153, 267, 17052, 267, 4606, 267, 1620, 540, 519, 9962, 1158, 267, 2168, 2534, 267, 3843, 1007, 1919, 267, 4543, 1866, 454, 268, 29114, 528, 707, 9608, 1646, 267, 590, 5960, 290, 267, 681, 10345, 543, 8171, 6437, 547, 2743, 519, 2115, 540, 1142, 20165, 267, 1759, 593, 519, 3356, 3800, 454, 268, 29114, 528, 1367, 1489, 585, 10453, 454, 268, 3629, 1007, 543, 23429, 2238, 585, 10453, 1210, 2963, 10356, 454, 268, 12706, 2500, 2963, 827, 707, 14222, 2123, 1646, 11865, 454, 8005, 568, 519, 9608, 4886, 3004, 14982, 585, 888, 289, 16742, 676, 3610, 585, 3610, 267, 519, 9608, 4886, 3004, 14982, 2636, 3119, 1153, 3401, 606, 2653, 543, 2241, 1259, 547, 6895, 519, 2123, 1646, 3460, 540, 741, 1053, 563, 25456, 18614, 9462, 497, 507, 454, 25456, 11752, 32273, 483, 454, 1692, 621, 3718, 454, 10743, 2626, 513, 2241, 5619, 1169, 2165, 610, 3368, 2165, 543, 1153, 5234, 666, 3950, 267, 1867, 543, 6895, 741, 1053, 685, 2123, 1646, 3448, 547, 824, 1053, 543, 16649, 2176, 269, 0, 303, 1513, 976, 267, 15751, 9400, 269, 1323, 1105, 1143, 281, 4706, 13898, 543, 11660, 5178, 529, 607, 3989, 676, 930, 540, 922, 19980, 956, 269, 9628, 267, 11427, 269, 589, 269, 681, 269, 29807, 976, 1496, 322, 6642, 278, 4940, 32516, 10001, 269, 26480, 3951, 3201, 26113, 268, 3951, 306, 10758, 5456, 2562, 6730, 667, 14110, 5085, 8008, 16774, 5442, 9167, 4629, 14154, 269, 634, 13230, 1062, 540, 4074, 568, 513, 964, 13607, 1143, 898, 568, 28170, 633, 543, 17062, 269, 898, 735, 1564, 519, 13230, 22086, 518, 267, 896, 513, 15163, 540, 14000, 267, 3765, 2044, 543, 11605, 540, 7385, 543, 1453, 547, 23491, 519, 9598, 566, 540, 519, 16108, 269, 634, 23141, 543, 2123, 15698, 540, 519, 267, 13230, 22086, 518, 267, 543, 1346, 8200, 2390, 1864, 568, 10032, 676, 519, 13230, 1606, 2448, 269, 589, 14081, 534, 1106, 540, 2229, 1281, 711, 7369, 519, 1362, 1425, 3363, 540, 519, 13230, 22086, 518, 269, 2755, 6608, 616, 8209, 16339, 5328, 734, 16269, 949, 8428, 538, 4110, 269, 1809, 782, 6608, 1759, 2390, 519, 13230, 2000, 1987, 1062, 616, 9247, 519, 1482, 269, 634, 2229, 540, 519, 2136, 2276, 267, 1759, 2390, 519, 13230, 2000, 1987, 1062, 267, 1281, 711, 267, 543, 3112, 10018, 519, 538, 531, 1329, 762, 1318, 540, 519, 13230, 22086, 619, 547, 834, 5158, 267, 5391, 2483, 2304, 1105, 1143, 8957, 4317, 1143, 1635, 654, 300, 269, 595, 269, 32139, 269, 5507, 281, 15213, 4964, 267, 476, 4572, 273, 269, 589, 11123, 11246, 16704, 834, 2304, 8944, 8957, 4317, 1143, 2437, 799, 674, 3918, 3633, 6865, 1631, 556, 1170, 1132, 267, 1310, 621, 814, 2196, 998, 922, 9587, 630, 4572, 272, 268, 2420, 1070, 729, 3370, 1101, 930, 29933, 1296, 3516, 269, 21877, 7108, 2006, 729, 1287, 835, 540, 519, 1034, 2442, 11000, 3464, 538, 519, 2136, 2276, 267, 543, 267, 1373, 20402, 7683, 607, 547, 519, 3017, 1063, 519, 1323, 1105, 626, 543, 31012, 24866, 267, 5433, 519, 991, 540, 513, 1521, 1047, 602, 1131, 2491, 602, 3017, 269, 2311, 1200, 19583, 594, 9333, 809, 519, 4305, 269, 634, 2140, 4951, 1250, 24235, 602, 1063, 891, 1079, 24866, 540, 1272, 1100, 9237, 19710, 568, 2009, 269, 594, 2808, 1287, 602, 1312, 5011, 11124, 12517, 689, 22739, 10770, 3646, 1500, 547, 31363, 519, 22424, 26702, 267, 585, 555, 334, 1862, 630, 5804, 2433, 1323, 8944, 19964, 8094, 26466, 996, 4454, 538, 3013, 729, 606, 4550, 12641, 518, 673, 267, 4550, 268, 22146, 3350, 799, 8179, 547, 5094, 519, 5939, 543, 1533, 538, 1931, 547, 4734, 3909, 6927, 547, 519, 25903, 543, 7744, 2702, 540, 519, 1367, 3238, 269, 5292, 339, 1515, 710, 632, 595, 2917, 516, 630, 5908, 277, 268, 4489, 273, 264, 729, 7986, 1312, 607, 513, 15594, 543, 607, 513, 1954, 996, 28310, 269, 634, 1739, 2376, 267, 1065, 11781, 539, 689, 18148, 570, 27462, 781, 1974, 673, 23068, 267, 729, 8385, 9447, 676, 632, 595, 2917, 516, 607, 513, 11000, 1354, 519, 11785, 1530, 4788, 5980, 269, 898, 568, 606, 5140, 1383, 540, 519, 954, 30447, 1222, 1063, 519, 1367, 626, 1922, 655, 21442, 2070, 540, 519, 5939, 543, 540, 519, 1533, 269, 769, 1200, 1557, 834, 29189, 26913, 2437, 632, 595, 2917, 516, 556, 3438, 730, 713, 1079, 17376, 784, 539, 4323, 269, 2701, 5206, 281, 834, 4131, 1169, 4807, 2307, 9887, 267, 1412, 3963, 993, 594, 519, 32013, 540, 2494, 286, 262, 1547, 1547, 1547, 1703, 513, 1862, 630, 5804, 2433, 1323, 8944, 19964, 8094, 2862, 269, 1234, 680, 5217, 519, 1381, 540, 2696, 676, 2463, 543, 2648, 540, 8103, 267, 649, 605, 8010, 1480, 2601, 607, 519, 1152, 21205, 540, 5168, 282, 1480, 25903, 607, 519, 4493, 540, 5126, 282, 1367, 543, 7104, 5191, 607, 519, 1152, 2707, 540, 1931, 538, 2486, 269, 8633, 269, 15213, 568, 519, 6207, 1318, 540, 1169, 2937, 812, 543, 4807, 547, 3343, 1100, 824, 7254, 794, 585, 741, 6411, 982, 741, 1378, 25903, 543, 741, 1378, 2601, 267, 1373, 3743, 1101, 547, 2933, 543, 1287, 547, 519, 2486, 799, 789, 723, 32380, 7608, 269, 10001, 269, 898, 568, 711, 3020, 602, 519, 5191, 540, 835, 812, 568, 3908, 676, 602, 540, 824, 2367, 269, 2494, 568, 2731, 1863, 547, 519, 6708, 602, 1010, 5191, 267, 4628, 17019, 543, 8272, 549, 1042, 676, 519, 1863, 9844, 540, 1010, 8284, 5443, 267, 9060, 21533, 543, 7269, 538, 741, 15698, 269, 2494, 568, 959, 1862, 630, 5804, 2433, 1323, 8944, 19964, 8094, 4322, 25780, 616, 2854, 538, 519, 2511, 540, 24729, 560, 1195, 781, 834, 28082, 12267, 543, 6181, 1742, 2437, 543, 2285, 519, 5467, 1585, 1350, 31663, 525, 883, 2413, 8498, 1272, 538, 6576, 5990, 17676, 589, 12283, 11553, 8577, 21629, 281, 595, 269, 654, 269, 667, 3198, 296, 5085, 476, 274, 2549, 523, 4856, 1676, 267, 5507, 267, 661, 269, 595, 269, 8946, 12767, 667, 17751, 306, 5442, 5990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12824, 1336, 602, 1978, 2249, 540, 13271, 1223, 31358, 891, 13851, 267, 4227, 741, 17219, 269, 1635, 4946, 891, 13271, 547, 519, 3037, 267, 6705, 1223, 2087, 7693, 11729, 1247, 849, 7863, 519, 1604, 780, 6637, 476, 274, 281, 11588, 540, 3733, 14537, 9712, 566, 692, 3383, 1946, 946, 1250, 14537, 9712, 566, 3079, 540, 824, 30749, 2409, 286, 1703, 616, 1896, 4128, 269, 3689, 540, 782, 267, 1250, 14537, 9712, 566, 568, 2356, 14949, 543, 5488, 982, 2757, 32598, 2553, 269, 1280, 3236, 267, 14155, 908, 543, 9427, 13572, 3037, 666, 1942, 5215, 540, 9489, 829, 12945, 13452, 269, 2201, 519, 824, 1688, 267, 26912, 6819, 519, 1482, 2179, 540, 3037, 609, 16507, 24032, 1131, 1152, 1942, 513, 1906, 4627, 9489, 269, 5047, 267, 1250, 14537, 9712, 566, 666, 1491, 4374, 610, 3275, 267, 6466, 2757, 2409, 666, 1491, 1296, 780, 30772, 267, 1250, 14537, 9712, 566, 568, 1447, 26688, 547, 519, 5117, 269, 12465, 2409, 1419, 4125, 20857, 267, 17656, 267, 610, 23028, 267, 799, 666, 11145, 7320, 9249, 543, 2014, 11761, 269, 3733, 14537, 9712, 566, 267, 2705, 267, 3762, 519, 3037, 16856, 543, 24024, 21463, 780, 7661, 267, 1250, 14537, 9712, 566, 814, 3606, 2640, 3564, 7738, 909, 12526, 269, 1280, 1383, 267, 519, 13271, 1031, 538, 1250, 14537, 9712, 566, 666, 2087, 3037, 2298, 543, 2497, 267, 3895, 2030, 2208, 267, 543, 3524, 6856, 3327, 8166, 269, 9578, 267, 945, 3085, 1405, 2648, 7487, 811, 17228, 538, 519, 1158, 31841, 6637, 476, 275, 281, 8892, 19648, 692, 4407, 1250, 14537, 9712, 566, 2982, 1390, 9153, 267, 972, 616, 1869, 2591, 547, 7753, 269, 1280, 835, 3364, 267, 3744, 991, 547, 2697, 811, 16507, 2249, 602, 666, 31358, 1585, 14107, 269, 3958, 267, 3173, 991, 547, 11126, 2175, 585, 1142, 17343, 1790, 3326, 583, 656, 6292, 547, 11694, 8851, 4398, 269, 7053, 267, 14519, 543, 22124, 1590, 5431, 1250, 14537, 9712, 566, 607, 513, 4570, 543, 2500, 32598, 4480, 780, 8601, 891, 2591, 267, 1250, 14537, 9712, 566, 3091, 606, 5499, 543, 4264, 3070, 547, 2825, 5533, 269, 1306, 811, 1004, 1831, 3222, 540, 922, 1761, 267, 649, 4126, 547, 1294, 811, 1250, 14537, 9712, 566, 3785, 5001, 269, 5808, 6487, 910, 6148, 14693, 9358, 786, 581, 3238, 538, 513, 1250, 14537, 9712, 566, 1788, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4263, 3162, 16466, 938, 2257, 6437, 7512, 938, 1453, 547, 1995, 543, 2263, 519, 1158, 1472, 873, 269, 3776, 3838, 5075, 543, 3741, 267, 799, 723, 1044, 24973, 2813, 676, 519, 5234, 543, 1453, 267, 2337, 519, 1453, 547, 1020, 741, 1620, 540, 3621, 2035, 543, 1118, 6402, 1063, 1114, 2093, 543, 2833, 269, 1284, 2832, 547, 12954, 938, 1453, 781, 7279, 267, 4466, 856, 1946, 1919, 4755, 538, 519, 1259, 789, 798, 269, 1284, 4001, 2409, 540, 679, 11431, 543, 7634, 547, 948, 938, 1453, 1451, 547, 2307, 3621, 2055, 543, 2253, 547, 5660, 519, 1259, 2257, 786, 1860, 741, 2104, 593, 513, 2123, 267, 3084, 543, 2518, 1377, 563, 763, 3084, 6437, 585, 2257, 6663, 547, 2327, 602, 782, 10453, 912, 268, 3763, 3621, 1702, 543, 12497, 1620, 998, 519, 1808, 10459, 540, 7350, 267, 7998, 543, 6323, 454, 268, 3763, 1620, 540, 519, 2470, 267, 3157, 543, 2409, 540, 2257, 998, 1114, 2010, 540, 2257, 679, 24751, 602, 948, 873, 547, 2626, 3621, 2055, 827, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7069, 14537, 9712, 566, 257, 607, 851, 540, 834, 306, 11799, 1315, 5020, 7070, 1315, 3733, 19223, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 15536, 335, 6064, 8567, 692, 8702, 267, 1762, 3988, 256, 4653, 267, 649, 2811, 11362, 883, 606, 3078, 24848, 516, 540, 2257, 5708, 1572, 834, 24426, 828, 335, 6064, 8567, 2437, 799, 10905, 13777, 22618, 2029, 609, 4798, 6537, 689, 4168, 4978, 269, 5213, 1405, 5855, 952, 596, 10093, 1405, 4862, 540, 891, 2474, 1354, 282, 649, 3513, 2263, 873, 1927, 1900, 676, 1900, 2439, 5331, 2713, 538, 513, 1158, 1141, 1004, 723, 2166, 321, 3073, 4703, 267, 8849, 18032, 1921, 938, 12058, 547, 5318, 5121, 267, 543, 5841, 4987, 814, 1831, 606, 7533, 851, 540, 3232, 1272, 269, 3767, 267, 1577, 781, 1039, 1776, 4494, 910, 1018, 952, 3909, 5132, 1869, 5129, 513, 1713, 1909, 538, 5935, 8103, 781, 2418, 543, 3527, 286, 2334, 781, 519, 2186, 540, 4259, 596, 1522, 1265, 538, 2984, 827, 15536, 335, 6064, 8567, 780, 4131, 781, 2736, 1524, 930, 1883, 2035, 1369, 713, 4241, 9135, 1384, 272, 269, 2878, 24426, 828, 335, 6064, 4995, 2311, 922, 4295, 267, 6880, 335, 6064, 7710, 875, 4359, 2029, 666, 1764, 2486, 543, 2043, 950, 5916, 609, 1514, 8635, 543, 9746, 1379, 9620, 269, 898, 1419, 2934, 4158, 5468, 267, 1950, 3197, 267, 543, 1164, 24289, 31942, 787, 899, 5691, 4641, 1949, 543, 536, 31020, 17873, 563, 273, 269, 2878, 22146, 640, 4995, 1306, 835, 540, 519, 2101, 10764, 5001, 267, 8567, 11363, 5837, 10752, 971, 607, 2648, 267, 19807, 267, 543, 25863, 269, 1879, 7471, 883, 6880, 335, 6064, 6386, 267, 891, 5289, 2609, 4161, 23233, 5185, 609, 5683, 21140, 16109, 689, 6639, 7760, 563, 274, 269, 2878, 293, 583, 22618, 17553, 4995, 12267, 1305, 538, 519, 2104, 1450, 721, 547, 4952, 1761, 4093, 540, 1699, 3466, 543, 10124, 269, 1635, 3695, 2009, 7653, 267, 649, 666, 1732, 1174, 6000, 543, 2992, 2390, 938, 1378, 2418, 780, 3086, 602, 649, 917, 811, 827, 15536, 335, 6064, 8567, 267, 1577, 781, 1413, 693, 930, 1806, 547, 1294, 875, 891, 2035, 2097, 9800, 538, 9423, 1384, 265, 5994, 513, 1915, 945, 4503, 741, 6186, 538, 606, 8009, 855, 4607, 513, 18951, 10682, 7064, 547, 2564, 28986, 269, 1717, 267, 789, 6560, 609, 4606, 540, 1582, 2914, 2180, 1813, 547, 9561, 851, 540, 741, 1480, 3961, 269, 1215, 1131, 713, 1268, 31363, 741, 2168, 7004, 609, 741, 3909, 3661, 538, 1373, 2813, 538, 2696, 781, 3239, 888, 265, 6333, 513, 3532, 18294, 3384, 3642, 5827, 540, 4830, 2219, 543, 3375, 6194, 269, 1403, 713, 11769, 6238, 15819, 922, 6228, 543, 5275, 10143, 5583, 267, 1018, 2591, 1131, 8451, 585, 1312, 519, 18294, 543, 519, 3642, 3294, 2496, 4322, 616, 1175, 1079, 8320, 15386, 519, 10578, 11100, 540, 6880, 333, 2045, 2261, 12069, 543, 7184, 12082, 5289, 2055, 1336, 538, 15536, 335, 6064, 8567, 269, 12056, 609, 971, 5931, 7512, 2565, 3206, 543, 4901, 1472, 6932, 4066, 267, 7881, 267, 543, 2123, 4978, 780, 2026, 27503, 5640, 267, 2141, 3314, 602, 1620, 1114, 5380, 2337, 22962, 707, 20030, 543, 27862, 707, 2542, 1995, 269, 1924, 1985, 942, 596, 4584, 909, 513, 1414, 30235, 1433, 10023, 4359, 10509, 7258, 7096, 10952, 14511, 267, 1589, 827, 2436, 621, 1522, 4866, 547, 519, 9159, 7706, 540, 15536, 335, 6064, 8567, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 513, 1906, 7643, 267, 14692, 539, 676, 1200, 22442, 10449, 543, 1394, 26569, 676, 519, 2182, 3043, 1769, 32338, 908, 689, 519, 18109, 267, 789, 7902, 3109, 269, 674, 4647, 2553, 540, 14206, 2540, 5888, 269, 594, 1223, 1745, 1200, 593, 1200, 512, 18967, 3996, 543, 1287, 1200, 5023, 729, 1318, 909, 1996, 1250, 1274, 543, 1352, 1767, 267, 1360, 5693, 267, 1775, 269, 594, 1491, 621, 602, 713, 1433, 568, 14356, 3020, 267, 543, 14356, 606, 4674, 540, 519, 9345, 269, 589, 1647, 3042, 267, 2582, 3993, 2469, 998, 606, 30299, 16028, 5956, 513, 8731, 5090, 267, 3352, 22529, 1043, 267, 543, 30442, 2648, 26035, 609, 513, 8938, 20204, 1245, 7023, 267, 4611, 538, 1272, 577, 4474, 4539, 269, 901, 8683, 558, 648, 3209, 689, 16095, 20129, 2278, 14629, 776, 795, 14493, 3217, 17761, 628, 1941, 525, 5929, 1896, 3268, 2417, 267, 7432, 621, 883, 513, 11329, 267, 31555, 9963, 827, 519, 4539, 540, 606, 13314, 2196, 676, 519, 5939, 267, 711, 519, 1533, 269, 654, 5803, 2139, 585, 4647, 543, 1224, 2228, 538, 824, 12043, 563, 1607, 7160, 267, 30149, 676, 1863, 3214, 2835, 267, 568, 849, 2139, 538, 7824, 267, 16212, 1504, 267, 543, 538, 606, 1196, 3386, 5212, 339, 3898, 269, 13852, 342, 5930, 16101, 16771, 14629, 776, 795, 867, 753, 1008, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24426, 828, 335, 6064, 8567, 257, 607, 851, 540, 834, 11227, 1315, 4168, 1315, 28358, 22618, 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, 3883, 3778, 543, 4144, 19166, 545, 5772, 885, 538, 9956, 781, 5384, 692, 1103, 713, 3184, 267, 649, 5490, 883, 519, 4241, 1158, 540, 1433, 1686, 1282, 519, 942, 540, 5261, 9956, 543, 1010, 29629, 2456, 998, 519, 7828, 540, 2528, 267, 5198, 267, 543, 14940, 267, 4481, 6313, 1019, 19166, 545, 9163, 269, 901, 1935, 2636, 721, 547, 2263, 519, 1950, 16799, 1063, 5339, 2504, 267, 23425, 267, 543, 21200, 1369, 519, 2796, 540, 6932, 2518, 4296, 543, 2686, 15377, 269, 1635, 1739, 519, 1291, 540, 2565, 5198, 5640, 945, 1289, 585, 6679, 909, 1433, 1686, 547, 2055, 540, 5198, 543, 14940, 267, 649, 2832, 547, 22962, 938, 5133, 593, 2038, 2413, 3332, 676, 11504, 811, 4628, 547, 2152, 540, 1379, 267, 6041, 267, 543, 3961, 5250, 780, 272, 269, 20223, 3883, 3778, 543, 4706, 25684, 4653, 692, 9349, 1686, 4016, 547, 519, 1353, 540, 519, 5137, 267, 3892, 267, 543, 4616, 540, 2854, 13742, 267, 6236, 1312, 1514, 543, 1570, 3344, 269, 769, 519, 2013, 540, 11193, 12416, 267, 1433, 12206, 4983, 2188, 899, 4589, 1222, 267, 8228, 3157, 267, 6725, 2994, 267, 2542, 2853, 267, 543, 5304, 6114, 269, 4197, 891, 2609, 2337, 22113, 519, 2081, 538, 799, 4249, 941, 9927, 689, 2661, 12644, 883, 2168, 3615, 602, 6933, 730, 4922, 2066, 10923, 6302, 543, 6766, 1585, 2950, 780, 9213, 267, 1433, 1686, 3788, 4143, 1317, 621, 3091, 4030, 883, 3140, 12331, 540, 2792, 267, 1702, 4483, 267, 543, 3860, 4082, 1247, 849, 13031, 2585, 885, 543, 21463, 1063, 2250, 543, 1459, 269, 1280, 3236, 267, 4207, 9840, 1472, 3059, 4066, 543, 741, 1764, 593, 7924, 267, 13629, 267, 543, 7214, 3959, 16079, 2147, 4145, 6659, 1282, 519, 5912, 689, 5711, 4529, 547, 1820, 2861, 7239, 269, 4935, 267, 2502, 609, 1433, 1686, 6087, 721, 547, 2992, 9691, 2390, 5571, 14759, 5935, 2221, 781, 2923, 5251, 780, 273, 269, 7216, 7073, 3690, 20139, 7402, 12420, 543, 8836, 16510, 692, 7628, 9956, 781, 10715, 267, 2342, 4810, 2799, 3346, 609, 3309, 9082, 543, 5389, 1813, 547, 7810, 7269, 267, 4123, 5121, 267, 543, 3909, 4955, 5928, 269, 1452, 13341, 6383, 7096, 2242, 538, 1582, 268, 16187, 902, 543, 8456, 2509, 1866, 267, 1419, 3056, 547, 5605, 20884, 11269, 540, 7292, 267, 6803, 267, 543, 3084, 3604, 269, 1306, 4789, 7153, 607, 513, 1713, 6345, 538, 2518, 12602, 267, 922, 5830, 3459, 21679, 609, 2055, 827, 741, 1747, 538, 519, 9962, 1158, 543, 519, 6286, 540, 3444, 14426, 4497, 906, 780, 4537, 6832, 781, 522, 324, 12320, 516, 9356, 713, 15398, 4656, 540, 824, 1145, 267, 10423, 538, 1010, 24575, 540, 631, 3233, 880, 3197, 971, 607, 30777, 267, 26826, 267, 543, 7581, 641, 21358, 269, 1717, 267, 2864, 982, 8156, 891, 5515, 8806, 607, 16678, 3209, 2906, 610, 6698, 540, 3046, 8663, 1143, 267, 9956, 23827, 919, 519, 5714, 2470, 540, 3961, 6688, 543, 2591, 1898, 626, 10054, 3823, 5198, 543, 2528, 269, 9182 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]