Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 10247, 689, 18376, 610, 707, 5985, 3926, 269, 4639, 16447, 630, 1001, 277, 264, 910, 590, 6349, 292, 4962, 13019, 2033, 1100, 631, 2967, 269, 476, 1358, 723, 3935, 2213, 1034, 540, 519, 1158, 781, 30173, 10195, 267, 8757, 9456, 2717, 29498, 807, 543, 519, 932, 987, 600, 11866, 538, 519, 7414, 267, 24381, 527, 3780, 267, 519, 1530, 26338, 3559, 956, 543, 681, 2946, 684, 542, 538, 519, 4095, 7909, 267, 543, 519, 10897, 2803, 538, 519, 9533, 7909, 269, 5131, 20176, 625, 543, 7641, 31698, 1411, 2052, 13772, 3767, 269, 2073, 1401, 12488, 908, 891, 2152, 267, 897, 3518, 1749, 616, 711, 1134, 6719, 538, 519, 8093, 2594, 269, 476, 898, 568, 5432, 5779, 1369, 6014, 267, 6259, 267, 543, 3943, 32345, 269, 1411, 2461, 6159, 1324, 9269, 12209, 269, 476, 634, 12593, 15168, 663, 807, 814, 1044, 4330, 689, 7216, 21007, 18152, 12074, 538, 5333, 267, 855, 1247, 621, 729, 1279, 5156, 547, 581, 513, 25190, 517, 267, 621, 568, 1631, 2808, 513, 5070, 326, 709, 572, 269, 2073, 634, 18213, 25190, 517, 729, 11108, 585, 513, 1297, 540, 4128, 269, 476, 634, 623, 339, 559, 514, 22455, 630, 26258, 798, 1407, 264, 616, 930, 540, 519, 6505, 652, 25549, 25190, 976, 267, 609, 519, 1614, 21049, 2249, 540, 674, 25702, 543, 519, 4095, 7909, 589, 937, 549, 523, 553, 1373, 519, 6505, 652, 269, 6034, 539, 676, 11977, 8621, 1076, 2023, 267, 3816, 344, 32544, 269, 14307, 834, 11854, 2886, 6987, 8012, 5384, 7412, 1923, 12292, 23452, 4595, 476, 8182, 271, 2580, 834, 10481, 7240, 3270, 540, 3463, 1851, 25190, 976, 543, 798, 1407, 630, 8624, 3518, 13160, 264, 2580, 834, 303, 339, 559, 514, 22455, 818, 4754, 639, 630, 27078, 4592, 22500, 1673, 913, 267, 10598, 4592, 22500, 667, 913, 267, 10598, 4592, 22500, 5937, 913, 264, 2580, 834, 2704, 2100, 1723, 523, 553, 22980, 6605, 614, 639, 630, 21691, 2106, 14198, 16140, 1673, 913, 267, 2717, 2106, 14198, 16140, 667, 913, 267, 2717, 2106, 14198, 16140, 5937, 913, 267, 5980, 11866, 16140, 1673, 913, 267, 6519, 2275, 3326, 1563, 16140, 1673, 913, 264, 2580, 834, 303, 15607, 976, 13815, 539, 3689, 16299, 514, 2405, 1023, 585, 4858, 854, 2340, 489, 484, 3778, 19305, 2580, 834, 8450, 930, 540, 519, 476, 6858, 2831, 945, 4312, 1044, 19942, 519, 16299, 514, 29274, 585, 22838, 2580, 834, 310, 903, 14813, 334, 9022, 340, 933, 2125, 1107, 634, 9069, 13160, 7731, 2580, 834, 3725, 3161, 540, 6519, 667, 7174, 585, 707, 16806, 689, 623, 836, 549, 913, 661, 5586, 656, 15638, 769, 15016, 15606, 2580, 634, 7736, 1005, 29526, 540, 667, 7174, 267, 3245, 9147, 27748, 547, 19978, 6301, 560, 599, 2580, 2696, 781, 8003, 3687, 31559, 3978, 6426, 5530, 3848, 476, 1321, 281, 634, 6178, 540, 13744, 1695, 267, 834, 9143, 310, 291, 281, 667, 7174, 543, 623, 15607, 976, 1107, 28038, 20002, 547, 8479, 7849, 1235, 2580, 32516, 476, 2412, 1107, 667, 2562, 301, 8991, 6730, 667, 2562, 5058, 11427, 2142, 17662, 781, 3883, 540, 5600, 3835, 5004, 267, 834, 303, 15607, 517, 14981, 281, 689, 519, 715, 5183, 9208, 1107, 7305, 540, 12937, 676, 20492, 2580, 834, 23873, 623, 15607, 517, 8058, 5980, 8065, 540, 674, 877, 267, 8058, 595, 20975, 543, 570, 5268, 625, 2580, 9576, 5980, 585, 519, 10466, 540, 20002, 267, 4179, 2517, 523, 25769, 3820, 11320, 27651, 21703, 286, 27583, 284, 8624, 3518, 13160, 261, 1245, 573, 284, 4200, 274, 271, 5379, 4510, 280, 267, 9504, 22543, 17802, 10859, 3491, 15157, 539, 3817, 267, 15080, 609, 5667, 712, 1027, 6898, 689, 4728, 476, 1708, 271, 267, 15080, 609, 5667, 712, 1027, 6898, 689, 5437, 476, 1001, 278, 267, 15080, 609, 5667, 712, 1027, 6898, 689, 5437, 476, 1001, 280, 267, 15080, 609, 5667, 712, 1027, 6898, 689, 5181, 476, 1708, 271, 267, 11300, 12780, 21922, 27691, 732, 2704, 833, 17821, 267, 22127, 2039, 540, 519, 1920, 9069, 13160, 267, 24695, 8421, 550, 545, 2078, 540, 9069, 6134, 525, 538, 519, 32286, 2314, 804, 1228, 267, 901, 2985, 729, 2063, 12995, 593, 476, 279, 5412, 476, 1708, 271, 267, 693, 476, 1691, 281, 4343, 269, 654, 902, 1948, 476, 272, 269, 276, 3813, 338, 547, 519, 18000, 12112, 267, 798, 1407, 616, 737, 657, 615, 267, 543, 2592, 689, 609, 1862, 14216, 633, 689, 5824, 897, 3518, 320, 14778, 6902, 713, 568, 1034, 1455, 538, 6532, 1439, 12515, 3738, 2807, 1656, 12181, 798, 557, 15234, 28570, 1934, 681, 7469, 13160, 267, 9967, 540, 25190, 976, 543, 798, 1407, 737, 657, 615, 949, 269, 12181, 798, 557, 15234, 568, 849, 513, 2165, 540, 1439, 792, 618, 538, 519, 1931, 23511, 1230, 22633, 519, 1920, 9069, 13160, 5892, 849, 8659, 519, 1920, 814, 9862, 547, 1034, 540, 519, 17255, 1151, 7534, 790, 256, 667, 913, 267, 568, 2027, 2213, 538, 2921, 5521, 543, 16277, 850, 10352, 6300, 585, 15550, 2643, 267, 543, 1862, 570, 2586, 676, 3043, 2275, 27547, 25190, 976, 267, 10538, 3731, 609, 12209, 798, 1407, 267, 543, 824, 7786, 616, 676, 1862, 910, 1306, 6255, 2001, 16410, 12237, 693, 5494, 9233, 9948, 1100, 5963, 18642, 3029, 723, 1044, 538, 269, 2060, 18373, 543, 25455, 630, 476, 1001, 271, 3738, 910, 590, 6349, 292, 4962, 13019, 2033, 1100, 631, 2967, 538, 256, 11427, 3731, 609, 12209, 1412, 338, 3883, 540, 5600, 3835, 5004, 267, 12181, 25190, 517, 15234, 543, 798, 557, 1862, 13343, 3240, 543, 7812, 616, 5185, 609, 513, 1804, 1297, 540, 4128, 538, 519, 1931, 9069, 6134, 525, 676, 5189, 11975, 7226, 256, 1656, 678, 28854, 2666, 798, 1407, 814, 1044, 1336, 547, 4266, 13172, 531, 2262, 12181, 7583, 591, 15234, 5526, 17589, 256, 3657, 5185, 609, 513, 1804, 1297, 540, 4128, 593, 6079, 1336, 593, 519, 4541, 2052, 22528, 924, 256, 16202, 5452, 723, 3476, 3283, 674, 269, 670, 8221, 4534, 1196, 269, 4010, 513, 2407, 7594, 513, 1920, 256, 15531, 715, 655, 334, 630, 476, 1220, 274, 3738, 476, 876, 281, 6872, 281, 1556, 596, 1412, 516, 14148, 609, 12209, 269, 623, 269, 674, 269, 670, 8221, 4534, 1196, 3738, 256, 1496, 476, 9032, 476, 3910, 519, 546, 29081, 267, 543, 6749, 856, 3362, 2679, 5411, 2348, 1862, 1452, 5017, 4125, 513, 1390, 4308, 540, 8390, 1063, 519, 2474, 3731, 4622, 568, 519, 2713, 1862, 630, 13913, 503, 25149, 402, 373, 403, 510, 402, 372, 403, 498, 3738, 1797, 798, 557, 1426, 6902, 2705, 267, 782, 2010, 616, 2807, 14066, 1297, 540, 10352, 3688, 971, 607, 4457, 267, 2667, 1868, 324, 267, 543, 2371, 789, 1412, 516, 8068, 789, 29755, 1507, 3283, 593, 930, 2766, 543, 13617, 17207, 949, 581, 16770, 610, 1862, 24641, 519, 535, 2607, 643, 5387, 2249, 4043, 547, 581, 1572, 12181, 798, 1407, 15234, 543, 12181, 798, 557, 15234, 28570, 1934, 267, 2027, 2213, 269, 589, 874, 16967, 924, 1412, 338, 1292, 13037, 267, 519, 3057, 13196, 534, 11440, 25190, 517, 267, 4867, 12959, 14486, 7363, 513, 3364, 602, 4667, 693, 256, 10738, 6014, 267, 6259, 267, 543, 2110, 28795, 12014, 602, 538, 930, 2249, 4183, 15123, 1506, 2807, 634, 1973, 540, 513, 14894, 539, 798, 557, 543, 2592, 689, 14148, 609, 2560, 4179, 281, 476, 272, 269, 6215, 2658, 12014, 602, 538, 930, 2249, 723, 1804, 2067, 9832, 267, 827, 476, 866, 4939, 540, 2249, 1862, 476, 3451, 2427, 8286, 547, 4196, 693, 707, 1985, 29851, 304, 602, 786, 2981, 12209, 883, 513, 14312, 12129, 1315, 330, 16745, 16659, 331, 390, 490, 3387, 22688, 10972, 27474, 270, 568, 6177, 1862, 9948, 543, 1281, 711, 2291, 538, 1034, 824, 4654, 4749, 5526, 609, 798, 1407, 538, 5259, 269, 594, 993, 865, 538, 2648, 609, 713, 5236, 372, 493, 838, 11712, 1250, 8405, 15472, 9069, 13160, 1315, 330, 16745, 16659, 331, 390, 490, 3387, 22688, 10972, 27474, 270, 568, 513, 6177, 1920, 540, 269, 3738, 910, 590, 5881, 292, 2764, 1290, 9037, 3013, 729, 693, 2547, 14356, 1813, 547, 15246, 585, 946, 607, 2807, 670, 790, 11641, 20820, 10909, 547, 20758, 5510, 891, 3728, 22249, 5338, 5017, 267, 519, 1920, 4386, 5001, 267, 855, 519, 6574, 3099, 538, 256, 634, 4224, 798, 557, 2290, 2249, 267, 519, 18213, 25190, 517, 729, 11108, 585, 513, 737, 528, 3316, 19898, 609, 4775, 1862, 2560, 4179, 281, 12262, 341, 8721, 269, 4134, 2284, 2593, 11320, 2255, 29265, 1846, 2914, 603, 2914, 902, 268, 275, 576, 325, 3445, 539, 280, 4510, 2004, 325, 323, 274, 323, 2918, 325, 280, 325, 7871, 476, 272, 4867, 12959, 14486, 609, 513, 1804, 1297, 540, 907, 2311, 513, 2370, 3476, 568, 2965, 1360, 3579, 616, 15298, 540, 3676, 543, 8290, 3731, 609, 12209, 269, 9122, 593, 519, 2666, 798, 1407, 2249, 4183, 15123, 1506, 2781, 637, 267, 827, 476, 866, 4939, 540, 782, 2249, 5189, 256, 28871, 1031, 538, 9059, 6411, 24362, 6050, 585, 1715, 3840, 518, 27977, 267, 1715, 3840, 630, 12924, 3738, 8648, 267, 30127, 873, 256, 589, 2661, 7146, 268, 2280, 2000, 633, 1935, 609, 25190, 976, 267, 7131, 338, 543, 811, 10311, 1496, 476, 1724, 9948, 1496, 476, 1691, 9948, 568, 29755, 11549, 4548, 267, 543, 6749, 856, 3362, 519, 3057, 13196, 534, 11440, 25190, 517, 267, 4867, 12959, 14486, 2575, 7044, 543, 811, 14148, 1862, 1656, 519, 546, 29081, 519, 546, 29081, 9948, 10610, 17207, 723, 1360, 10053, 267, 2770, 27918, 13279, 267, 616, 29101, 256, 1656, 25190, 976, 616, 1572, 2695, 324, 5474, 2899, 789, 616, 649, 534, 539, 610, 649, 22135, 28570, 1934, 585, 1715, 3840, 518, 27977, 13673, 1862, 2142, 1459, 9069, 13160, 1315, 330, 16745, 16659, 331, 390, 490, 3387, 22688, 10972, 27474, 270, 568, 513, 6177, 1920, 9967, 540, 25190, 976, 543, 798, 1407, 616, 513, 2603, 1004, 1862, 29133, 1369, 6014, 267, 6259, 267, 543, 824, 7786, 616, 3144, 676, 3043, 2275, 27547, 25190, 976, 15762, 26963, 334, 256, 4427, 325, 7056, 625, 267, 4440, 538, 22943, 2299, 27201, 602, 568, 936, 14725, 609, 14148, 547, 707, 3406, 1931, 9069, 6134, 525, 909, 3959, 609, 741, 2695, 324, 1136, 1862, 634, 5377, 540, 519, 4683, 12572, 1931, 9948, 1034, 540, 519, 17255, 30954, 1132, 1151, 7534, 790, 543, 519, 546, 29081, 21217, 723, 1927, 256, 11788, 14295, 2547, 14356, 1813, 547, 15246, 585, 946, 607, 1426, 519, 13475, 1862, 3171, 1155, 15123, 1506, 2781, 637, 568, 711, 5812, 267, 2705, 267, 1507, 3283, 593, 930, 2766, 543, 13617, 17207, 949, 581, 28011, 2986, 25190, 976, 543, 798, 1407, 543, 811, 10311, 519, 535, 2607, 643, 5387, 2249, 723, 6263, 267, 11658, 14778, 6902, 713, 1034, 269, 2991, 1010, 4931, 17800, 630, 19279, 3738, 476, 7761, 476, 3910, 930, 2249, 4183, 15123, 1506, 2781, 637, 29116, 25549, 20034, 720, 811, 1862, 11109, 547, 16926, 11641, 20820, 10909, 547, 20758, 5510, 891, 3728, 22249, 5338, 5017, 267, 789, 616, 1934, 3769, 607, 513, 1016, 26967, 28011, 1496, 476, 10844, 9948, 4438, 589, 874, 16967, 924, 1412, 338, 1292, 13037, 267, 519, 9069, 13160, 616, 5258, 269, 2561, 8986, 547, 2560, 14148, 609, 12209, 15234, 616, 694, 698, 1638, 338, 610, 25190, 976, 7745, 12209, 1948, 476, 272, 269, 276, 3813, 338, 799, 723, 1044, 796, 19055, 2406, 269, 4024, 2981, 12209, 883, 513, 14312, 12129, 798, 1407, 15234, 543, 519, 546, 29081, 543, 1862, 22503, 25190, 976, 616, 1572, 12181, 798, 1407, 15234, 543, 12181, 798, 557, 15234, 2349, 1228, 630, 476, 1960, 277, 3738, 1948, 609, 12209, 29755, 2667, 1868, 324, 267, 543, 2110, 28795, 12014, 602, 538, 930, 2249, 4183, 15123, 1506, 2781, 637, 519, 2165, 1031, 547, 606, 269, 3026, 1188, 15472, 9069, 13160, 1315, 330, 16745, 16659, 331, 390, 490, 3387, 22688, 10972, 27474, 270, 568, 513, 6177, 1920, 9967, 540, 25190, 976, 543, 798, 1407, 1010, 15773, 1010, 269, 4033, 5017, 267, 519, 9069, 13160, 616, 2356, 5258, 883, 476, 2004, 25281, 1412, 338, 3237, 14894, 539, 593, 1862, 623, 15607, 517, 568, 849, 513, 2165, 540, 1439, 792, 618, 538, 519, 1473, 10095, 18885, 543, 3851, 22057, 26441, 4903, 331, 558, 3130, 540, 14148, 4171, 21217, 723, 1927, 269, 7089, 540, 4128, 267, 729, 811, 6093, 540, 519, 2249, 4682, 535, 1968, 4872, 269, 8490, 5411, 616, 2348, 547, 16926, 11641, 20820, 10909, 547, 20758, 5510, 891, 3728, 22249, 5338, 5017, 267, 519, 11440, 1862, 1677, 5215, 540, 29586, 267, 21305, 267, 543, 835, 6361, 8584, 29292, 2472, 543, 13344, 1644, 547, 5478, 256, 12054, 4842, 4654, 547, 1711, 4158, 569, 14973, 543, 8903, 569, 3312 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 589, 1906, 1296, 1394, 267, 594, 1336, 8885, 2713, 538, 513, 844, 5593, 19887, 538, 519, 2295, 540, 519, 2749, 267, 9599, 827, 1250, 1007, 2816, 543, 519, 3255, 602, 2482, 6619, 269, 1717, 267, 2370, 1705, 594, 917, 602, 1250, 12560, 705, 1712, 1131, 4166, 2490, 883, 513, 25071, 1996, 606, 12691, 535, 4141, 910, 6846, 5533, 780, 296, 4312, 2141, 1044, 13730, 827, 17651, 267, 799, 3340, 513, 9602, 1604, 585, 588, 1173, 5074, 543, 11287, 18477, 4703, 269, 3733, 2545, 935, 344, 6039, 607, 519, 3501, 5544, 585, 4259, 909, 1250, 3972, 344, 16263, 267, 5356, 2312, 5784, 540, 519, 3781, 6607, 1657, 269, 1809, 5063, 267, 1945, 4957, 282, 519, 22471, 1006, 729, 695, 13593, 676, 519, 524, 659, 2684, 3415, 540, 4992, 32338, 908, 689, 1169, 4287, 269, 898, 8604, 607, 1498, 519, 3003, 8378, 1185, 17736, 1600, 547, 25010, 1250, 19644, 2250, 830, 780, 2005, 782, 3459, 609, 6004, 269, 16399, 267, 938, 19622, 7023, 945, 2919, 513, 6727, 22906, 609, 5179, 31260, 269, 5272, 6640, 693, 10502, 476, 277, 7537, 267, 646, 9364, 2847, 1010, 2599, 267, 11423, 519, 2011, 609, 18555, 2287, 887, 1513, 602, 16079, 539, 998, 519, 10754, 269, 3973, 972, 941, 519, 3586, 4070, 3785, 7404, 1107, 5230, 12227, 546, 1258, 532, 593, 1554, 543, 3781, 267, 10483, 676, 519, 24754, 11013, 532, 540, 554, 27980, 1996, 4496, 543, 6405, 269, 1306, 952, 602, 7012, 1405, 2614, 267, 6105, 693, 519, 2777, 2066, 519, 8265, 2968, 5051, 7928, 267, 2347, 609, 1630, 4040, 18369, 3515, 543, 17409, 602, 5645, 998, 519, 2038, 3108, 780, 7069, 2899, 32668, 25113, 1185, 9927, 883, 513, 2112, 7997, 267, 16550, 803, 547, 556, 29264, 1250, 27248, 7422, 15587, 269, 674, 745, 1598, 730, 855, 5462, 267, 594, 4956, 547, 1491, 2962, 269, 20331, 609, 30069, 267, 3043, 6846, 6191, 267, 543, 3280, 16513, 29198, 267, 594, 13986, 547, 1711, 513, 2306, 31183, 10072, 12068, 1369, 1250, 1378, 1753, 269, 1325, 553, 267, 5103, 891, 3646, 267, 519, 7188, 30174, 267, 694, 9429, 998, 18015, 543, 1212, 341, 1182, 899, 1216, 998, 513, 521, 10079, 780, 3080, 10543, 267, 1247, 14719, 908, 10205, 532, 17651, 15587, 267, 594, 4607, 606, 6397, 5048, 689, 1776, 2199, 27423, 3957, 8861, 269, 2701, 1932, 1185, 8068, 519, 7771, 538, 4708, 6888, 1369, 938, 4683, 522, 12118, 543, 6829, 1200, 7287, 547, 798, 1945, 827, 621, 269, 27837, 676, 1200, 6612, 543, 8990, 267, 649, 8678, 4229, 547, 1106, 519, 834, 5226, 2884, 21708, 29663, 257, 1107, 513, 1895, 6131, 547, 8396, 1154, 6846, 5533, 543, 8497, 519, 5898, 540, 519, 3781, 6607, 780, 29310, 267, 649, 678, 718, 1221, 8284, 19936, 267, 2470, 18798, 267, 543, 1256, 29832, 745, 660, 1194, 12543, 267, 9870, 4656, 827, 519, 8801, 2360, 540, 6846, 5533, 593, 1312, 2790, 543, 2168, 8171, 269, 1284, 6896, 17600, 267, 21936, 539, 2199, 8387, 267, 543, 32524, 609, 17974, 8030, 547, 28433, 5499, 3435, 585, 19086, 13311, 4992, 269, 3776, 7104, 5639, 8057, 6793, 267, 5555, 21959, 1359, 2923, 3007, 543, 1489, 689, 1585, 3906, 780, 2414, 938, 9983, 267, 938, 3646, 16004, 4829, 950, 2749, 14643, 2818, 796, 29434, 3585, 20366, 538, 3870, 540, 7598, 31749, 6042, 3823, 6846, 2157, 1282, 3735, 3108, 269, 5015, 267, 789, 21248, 7616, 2509, 5355, 5989, 543, 5009, 10357, 7888, 2853, 1851, 4213, 543, 7264, 7567, 269, 901, 11802, 6825, 711, 1152, 519, 21554, 540, 513, 26982, 2678, 5736, 585, 721, 855, 849, 6273, 2147, 7341, 18487, 780, 7437, 713, 1995, 267, 594, 7691, 602, 1689, 568, 2009, 950, 2043, 2097, 1927, 607, 513, 8087, 4395, 269, 1548, 7620, 7902, 547, 581, 31837, 25236, 762, 12918, 26632, 730, 1354, 938, 1360, 4064, 267, 8719, 3079, 676, 6043, 267, 23274, 267, 543, 4126, 269, 1656, 865, 267, 896, 519, 4585, 995, 22401, 540, 9118, 6801, 267, 519, 2372, 2884, 21708, 29663, 5170, 922, 5692, 267, 18445, 602, 3006, 267, 519, 10545, 9739, 666, 1118, 519, 7887, 3017, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 18658, 616, 519, 1034, 1455, 2959, 540, 6846, 5533, 602, 666, 28148, 1860, 1480, 1072, 888, 272, 269, 29853, 6846, 281, 30433, 689, 6472, 971, 607, 6517, 267, 21772, 267, 543, 18114, 666, 2014, 1072, 2042, 971, 607, 6217, 15717, 267, 2566, 267, 543, 3207, 19717, 780, 273, 269, 23076, 6846, 281, 5794, 680, 6951, 2921, 1055, 543, 13941, 666, 2014, 1713, 6846, 602, 666, 1291, 547, 6217, 2530, 267, 13119, 267, 543, 3207, 19717, 780, 274, 269, 11633, 6846, 281, 30433, 689, 15327, 543, 5663, 2371, 666, 581, 5906, 267, 3056, 547, 6217, 3441, 543, 5312, 3207, 18063, 780, 275, 269, 14716, 6846, 281, 24581, 12227, 267, 17656, 267, 543, 23542, 819, 2238, 5352, 10978, 543, 6024, 6846, 602, 666, 1764, 6217, 543, 2014, 3207, 2042, 780, 276, 269, 27199, 4011, 3125, 6846, 281, 30433, 689, 13626, 532, 5243, 267, 10978, 2575, 267, 543, 824, 2959, 540, 19717, 666, 1291, 547, 3207, 19717, 267, 4160, 267, 543, 824, 1072, 2152, 780, 277, 269, 30007, 28379, 6846, 281, 22452, 547, 10978, 2575, 543, 6846, 2157, 538, 30145, 267, 3781, 743, 889, 338, 267, 543, 824, 9913, 28503, 666, 1291, 547, 533, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 8080, 547, 938, 3408, 540, 10637, 6482, 256, 1411, 1522, 581, 11842, 1018, 10637, 568, 1107, 1134, 267, 621, 781, 950, 972, 781, 606, 2333, 538, 519, 5777, 540, 5370, 543, 2533, 936, 942, 269, 5994, 952, 707, 5172, 17711, 10393, 2968, 811, 7199, 282, 602, 1131, 581, 10637, 538, 2962, 256, 1677, 1174, 875, 713, 5540, 3003, 2477, 267, 649, 991, 547, 1451, 827, 7893, 10637, 269, 2913, 781, 4685, 883, 713, 1271, 1523, 1927, 2439, 20058, 267, 1577, 781, 4952, 596, 4444, 513, 11127, 540, 3688, 1169, 3923, 267, 899, 13212, 267, 31940, 267, 543, 13558, 11084, 269, 1403, 782, 1346, 1919, 1831, 11720, 1512, 1142, 3923, 267, 596, 3513, 6108, 811, 2724, 11423, 909, 707, 11127, 269, 2334, 781, 1946, 835, 1259, 547, 2268, 10637, 568, 1572, 519, 2878, 289, 21488, 540, 6153, 338, 6396, 1262, 269, 901, 1505, 8952, 3950, 540, 2242, 538, 519, 1942, 540, 513, 6378, 1305, 630, 528, 968, 321, 21488, 14615, 540, 1455, 3688, 1004, 4043, 547, 6718, 5781, 269, 1635, 9236, 519, 2698, 3902, 540, 602, 1482, 11127, 936, 942, 267, 649, 666, 1294, 2436, 10637, 814, 8854, 909, 610, 1524, 780, 4913, 267, 1175, 1210, 513, 2582, 11127, 3085, 1406, 2272, 585, 4657, 10918, 6208, 269, 9320, 1004, 1376, 9140, 7864, 13212, 855, 811, 20397, 3079, 269, 2107, 5310, 3025, 16976, 789, 1616, 12137, 518, 23445, 3079, 540, 10750, 3283, 269, 1924, 267, 1776, 4122, 1031, 1505, 547, 5173, 10637, 568, 519, 2878, 8256, 10179, 12313, 12039, 1262, 630, 1262, 9573, 296, 1262, 1040, 898, 13475, 519, 3328, 1689, 538, 5777, 6976, 676, 4683, 6800, 585, 513, 3099, 540, 7082, 5370, 543, 2533, 269, 26023, 267, 8713, 296, 5654, 693, 1082, 30504, 609, 6266, 540, 1114, 2472, 543, 2982, 721, 875, 1454, 811, 610, 1447, 3388, 3790, 3379, 547, 1354, 780, 3086, 267, 596, 949, 4898, 945, 1281, 782, 713, 960, 286, 4270, 267, 2229, 8041, 1419, 2445, 1239, 543, 1711, 17523, 899, 8713, 296, 547, 948, 6895, 10637, 269, 1280, 1383, 267, 1934, 538, 519, 2136, 2276, 267, 519, 13163, 540, 8534, 10803, 21410, 519, 19901, 12313, 12039, 1759, 593, 1344, 10356, 689, 5215, 540, 21625, 2066, 519, 2197, 269, 1358, 1256, 4188, 741, 9273, 585, 12119, 7648, 267, 971, 607, 2362, 3132, 5777, 538, 4832, 3275, 2439, 3383, 267, 1946, 798, 649, 1416, 865, 1454, 827, 1620, 10637, 286, 18833, 827, 10637, 2337, 6608, 267, 4213, 267, 543, 2043, 1118, 1732, 3664, 269, 1879, 10637, 14380, 1932, 3533, 267, 621, 666, 2014, 2042, 1317, 1004, 781, 11449, 1379, 11081, 267, 2495, 741, 9489, 1810, 1405, 979, 607, 2484, 269, 1809, 6417, 10637, 849, 6920, 513, 3395, 4346, 1141, 3747, 856, 335, 2167, 3761, 269, 4475, 267, 1565, 827, 10637, 6482, 2488, 3407, 4030, 883, 12550, 11296, 3466, 543, 2636, 721, 547, 7119, 24617, 538, 7391, 827, 1870, 543, 9297, 780, 4131, 781, 973, 777, 1018, 649, 4121, 2221, 1384, 265, 5606, 3175, 1797, 8375, 5777, 540, 5370, 543, 2533, 936, 942, 563, 265, 1284, 666, 2268, 10637, 1210, 2409, 899, 519, 31336, 540, 6153, 338, 6396, 543, 519, 19901, 12313, 12039, 630, 9573, 296, 1916, 265, 6554, 8041, 3335, 5531, 1239, 543, 5173, 17523, 899, 8713, 296, 547, 1832, 3950, 540, 10637, 563, 265, 4197, 10637, 2337, 3375, 24237, 4431, 3927, 547, 2804, 2175, 780, 2026, 8049, 2104, 17024, 267, 18167, 4514, 883, 3584, 899, 10637, 6482, 16877, 721, 547, 4497, 8362, 609, 1483, 8996, 2152, 5935, 938, 2729, 543, 2950, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 6069, 1382, 8942, 547, 2697, 519, 2565, 3334, 540, 2804, 10350, 538, 2185, 7489, 2477, 12077, 17111, 267, 3162, 9705, 267, 17289, 543, 12868, 269, 634, 1353, 676, 14139, 538, 3829, 2013, 1353, 2079, 11394, 547, 5659, 519, 2804, 10350, 2853, 538, 891, 2477, 543, 922, 2078, 547, 741, 2804, 1332, 2195, 269, 634, 1353, 1287, 8942, 547, 8495, 519, 6402, 1063, 2804, 10350, 543, 519, 7489, 2883, 6433, 538, 476, 1960, 278, 267, 543, 519, 5107, 519, 2804, 10350, 1223, 723, 5129, 538, 519, 6051, 1184, 2094, 519, 1657, 2477, 1185, 11214, 16626, 693, 10169, 1114, 3432, 269, 9122, 593, 519, 4857, 3334, 540, 2804, 10350, 2808, 16122, 585, 4264, 543, 14388, 4346, 267, 519, 1353, 786, 1020, 606, 4994, 12077, 9483, 26291, 10866, 12039, 13830, 519, 6060, 540, 10350, 6724, 676, 519, 2477, 1282, 519, 1630, 1682, 543, 1793, 7927, 540, 741, 11615, 2429, 519, 1974, 896, 1353, 269, 7053, 267, 519, 3334, 540, 2804, 10350, 786, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14813, 3175, 20970, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 13188, 1315, 5839, 19172, 21643, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 769, 519, 4207, 1514, 3621, 5251, 267, 11879, 18724, 8864, 5525, 814, 7153, 607, 513, 4105, 1858, 540, 14374, 1369, 519, 6626, 2796, 540, 8836, 543, 23532, 5525, 269, 901, 1935, 23827, 919, 519, 3140, 267, 1914, 19205, 267, 543, 2686, 25481, 540, 5198, 267, 3226, 17642, 8864, 267, 17935, 547, 7866, 1379, 6384, 602, 28511, 11528, 10168, 543, 31716, 269, 1635, 9691, 6313, 519, 29708, 543, 1419, 15865, 22864, 2404, 609, 17642, 8864, 267, 713, 5133, 3091, 513, 2189, 7828, 998, 799, 547, 1174, 28963, 540, 3961, 267, 15746, 267, 543, 4187, 269, 1306, 971, 267, 621, 3587, 16122, 547, 5490, 883, 519, 6946, 25029, 540, 11879, 18724, 8864, 5525, 547, 6536, 513, 4514, 8223, 540, 7292, 21272, 543, 741, 6286, 585, 3309, 5095, 780, 2414, 7832, 2390, 713, 3460, 267, 1577, 721, 30134, 676, 10002, 22326, 519, 4909, 1523, 540, 17642, 8864, 269, 2201, 519, 2627, 267, 17642, 8864, 949, 2408, 547, 24901, 2370, 811, 982, 6071, 2960, 2681, 282, 2705, 267, 2565, 5640, 25077, 602, 621, 25186, 6477, 7695, 547, 7854, 513, 1950, 31498, 14212, 540, 8739, 7290, 5566, 21437, 267, 19237, 267, 543, 12250, 1242, 2853, 269, 6239, 547, 713, 10206, 568, 623, 1122, 4445, 5062, 4504, 9655, 781, 14262, 1557, 834, 19669, 17658, 850, 613, 281, 1133, 17569 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2551, 1895, 269, 1677, 519, 6708, 2009, 267, 10074, 1131, 3136, 547, 581, 1500, 2139, 538, 519, 1482, 11775, 607, 13890, 538, 519, 5943, 269, 1717, 267, 952, 513, 1880, 6669, 568, 20025, 585, 946, 676, 513, 1880, 1895, 267, 602, 1895, 1131, 991, 547, 7227, 585, 513, 1007, 1106, 540, 513, 6669, 267, 543, 519, 4540, 6669, 1522, 581, 3177, 547, 1346, 945, 6382, 616, 1793, 730, 585, 513, 2663, 5123, 269, 2060, 2789, 2139, 10074, 267, 621, 568, 3226, 1271, 547, 6895, 3106, 543, 7145, 607, 31331, 3646, 3356, 865, 607, 547, 2327, 602, 1114, 2551, 2516, 4309, 606, 3617, 6669, 563, 292, 3671, 2438, 17148, 543, 21210, 21073, 454, 4263, 519, 942, 540, 1603, 267, 5046, 268, 866, 568, 10825, 4922, 538, 519, 2136, 2276, 267, 2066, 1082, 2829, 543, 22875, 269, 23207, 2338, 540, 2665, 616, 9648, 1851, 7820, 1004, 267, 945, 616, 849, 2219, 547, 581, 1883, 8069, 538, 23142, 519, 3968, 269, 898, 568, 4867, 711, 1634, 875, 1279, 12046, 689, 16568, 17336, 268, 273, 3968, 16569, 267, 6862, 519, 6708, 547, 799, 6771, 949, 581, 4389, 538, 1114, 5095, 1813, 547, 811, 1004, 16565, 12046, 689, 2348, 1044, 7783, 269, 1403, 6190, 2338, 540, 2043, 538, 513, 2551, 1895, 616, 4761, 1813, 547, 3105, 3968, 267, 1287, 621, 949, 581, 602, 17077, 6669, 13066, 1058, 581, 21248, 547, 2043, 538, 824, 3922, 1242, 2551, 2516, 269, 17957, 267, 952, 519, 3968, 568, 1336, 547, 581, 10825, 3226, 6385, 538, 513, 1880, 13664, 3148, 610, 2551, 1895, 267, 621, 949, 581, 10257, 547, 4225, 782, 20814, 10074, 547, 602, 3148, 610, 1895, 269, 901, 1223, 581, 2944, 676, 8066, 1394, 513, 1978, 6824, 540, 6669, 13066, 630, 324, 3052, 1421, 476, 1015, 2600, 264, 585, 946, 538, 3945, 3215, 2043, 538, 5046, 268, 866, 968, 14653, 9634, 892, 945, 723, 513, 1164, 1981, 540, 3968, 543, 945, 3112, 2149, 2933, 563, 23114, 8825, 2623, 27137, 607, 12062, 532, 538, 1747, 267, 1514, 26865, 267, 543, 9849, 3068, 13968, 1765, 10193, 5540, 519, 3262, 540, 5046, 268, 866, 454, 309, 3147, 710, 17392, 543, 10029, 454, 11854, 6900, 3877, 540, 875, 519, 5046, 268, 866, 6669, 786, 581, 7856, 543, 13950, 723, 711, 1044, 4628, 5462, 693, 713, 942, 269, 634, 6669, 568, 1373, 2919, 998, 519, 5313, 744, 16703, 11036, 267, 543, 27229, 519, 5313, 2229, 786, 3390, 4808, 585, 14305, 267, 3892, 267, 543, 7245, 540, 519, 6669, 269, 634, 6708, 547, 799, 2829, 786, 581, 8078, 730, 547, 1246, 971, 4808, 568, 711, 1634, 269, 6270, 1533, 7400, 3664, 786, 1860, 519, 6388, 540, 519, 6669, 14305, 5943, 269, 1306, 606, 1383, 267, 513, 1533, 949, 1118, 513, 7029, 547, 1305, 11735, 513, 1978, 6824, 540, 6669, 13066, 585, 17174, 6608, 538, 602, 1533, 630, 10472, 1131, 7110, 1018, 1131, 581, 21248, 676, 519, 5313, 2229, 998, 519, 4095, 2657, 6796, 1040, 3557, 2861, 3892, 1058, 581, 16913, 543, 6462, 998, 1239, 269, 7351, 3646, 547, 723, 6237, 6114, 1058, 581, 9415, 543, 1058, 1450, 585, 2829, 547, 4827, 4601, 4431, 547, 2242, 538, 519, 14305, 12191, 267, 2551, 2115, 267, 610, 3761, 563, 12892, 267, 9483, 267, 543, 13751, 12745, 338, 454, 763, 12233, 17767, 602, 1514, 267, 2804, 267, 543, 3656, 8658, 786, 1860, 519, 12581, 14305, 540, 6669, 538, 938, 3646, 547, 8396, 5046, 268, 866, 269, 1452, 3656, 2152, 1331, 267, 855, 616, 711, 3908, 547, 267, 519, 1184, 540, 6669, 13170, 267, 3892, 267, 543, 32158, 9309, 618, 693, 519, 5313, 1377, 282, 519, 1761, 10167, 540, 14305, 7355, 609, 5313, 543, 1533, 4550, 1673, 4593, 19303, 4031, 282, 13260, 538, 1533, 12674, 31433, 6322, 693, 1153, 18244, 543, 5520, 538, 1978, 9922, 267, 971, 607, 3461, 1416, 282, 3318, 24416, 543, 9165, 540, 2259, 3652, 282, 6284, 540, 856, 6361, 15581, 8502, 27121, 950, 3606, 4648, 616, 2877, 282, 8569, 543, 32158, 9309, 618, 14074, 543, 3157, 585, 519, 8795, 1857, 543, 4357, 1202, 20445, 1369, 2829, 282, 8502, 543, 10672, 4598, 547, 15668, 282, 543, 1533, 2861, 13178, 543, 7834, 20038, 269, 2859, 3622, 267, 519, 991, 585, 12674, 786, 581, 4299, 676, 2829, 685, 3656, 3646, 547, 2333, 9633, 6165, 543, 1514, 26865, 543, 547, 6175, 4598, 563, 5629, 6669, 8244, 814, 2799, 18481, 543, 6669, 3106, 538, 7820, 2516, 814, 1044, 12290, 267, 1453, 786, 581, 6035, 513, 5046, 268, 866, 6669, 630, 300, 10314, 1696, 620, 1421, 476, 1708, 271, 1040, 25214, 267, 519, 1034, 2500, 1259, 547, 2327, 3376, 19718, 540, 6669, 538, 1453, 568, 998, 31433, 602, 2783, 1153, 543, 1554, 1416, 20343, 593, 2963, 540, 12674, 610, 606, 7608, 2601, 585, 608, 18277, 267, 971, 607, 513, 2564, 15333, 785, 1709, 269, 1703, 786, 524, 518, 8894, 1555, 569, 581, 2647, 8390, 1851, 2829, 543, 1256, 1369, 2829, 3823, 971, 31433, 267, 3226, 609, 2463, 547, 2436, 1875, 2173, 20510, 23614, 687, 786, 581, 4847, 269, 1677, 2327, 606, 1931, 569, 2132, 547, 3506, 267, 2829, 949, 4324, 689, 2348, 741, 31433, 5587, 1881, 676, 3656, 12496, 540, 4540, 8128, 267, 610, 676, 6236, 2081, 547, 9395, 523, 4540, 1876, 3823, 23614, 687, 269, 6736, 519, 14305, 5943, 267, 930, 1153, 13102, 949, 23626, 12674, 540, 1153, 18244, 5612, 267, 607, 513, 1797, 540, 3001, 811, 3533, 4724, 556, 19945, 2287, 3506, 585, 538, 16512, 1565, 269, 2311, 513, 1533, 1377, 267, 713, 1131, 21138, 519, 6669, 538, 513, 6073, 1114, 689, 519, 12233, 779, 6069, 14305, 5943, 630, 328, 4318, 1421, 676, 26724, 1153, 18244, 1916, 5278, 12820, 786, 2154, 5520, 547, 581, 18764, 610, 547, 723, 930, 2963, 540, 1991, 3968, 630, 22372, 593, 519, 16108, 779, 13429, 602, 713, 1476, 619, 12046, 264, 630, 303, 3559, 534, 267, 476, 1708, 271, 1040, 1403, 513, 1533, 568, 711, 782, 20814, 6669, 7727, 538, 13076, 609, 519, 5227, 11775, 267, 713, 1131, 31818, 6669, 7727, 4724, 1082, 945, 616, 711, 538, 519, 2362, 1981, 6688, 4330, 538, 1912, 1162, 476, 272, 543, 476, 273, 269, 1403, 1804, 12820, 10536, 13066, 540, 519, 6669, 267, 607, 814, 5949, 538, 519, 2250, 609, 476, 1220, 280, 670, 272, 301, 272, 10074, 267, 713, 1223, 3970, 7727, 2139, 547, 1533, 543, 2199, 1072, 13623, 269, 4014, 972, 568, 30675, 585, 12820, 8506, 12674, 607, 513, 2783, 540, 7694, 267, 1641, 547, 930, 7687, 1759, 593, 9769, 11650, 610, 3909, 23614, 687, 630, 324, 3052, 1421, 1082, 10506, 543, 8808, 5321, 2154, 5520, 547, 581, 18764, 1996, 14798, 543, 513, 3984, 540, 824, 3676, 971, 607, 21061, 543, 27330, 1070, 513, 1297, 540, 4145, 8451, 950, 6669, 3761, 568, 454, 31871, 543, 7033, 532, 540, 28404, 667, 4680, 2008, 26180, 1168, 518, 6669, 6030, 2139, 982, 4397, 676, 20491, 2782, 335, 17726, 2008, 347, 309, 3147, 710, 3340, 1079, 13066, 267, 2864, 982, 835, 2008, 347, 20181, 6669, 12117, 1851, 4587, 4079, 610, 824, 2551, 32299, 2008, 347, 4462, 656, 4602, 730, 6669, 2427, 2360, 2008, 347, 14294, 881, 656, 6669, 2427, 2360, 1851, 4587, 4079, 610, 824, 2551, 1016, 25364, 2008, 15905, 267, 607, 621, 786, 581, 609, 519, 5046, 268, 866, 6669, 269, 1403, 12820, 2154, 12674, 267, 519, 14305, 5943, 1131, 581, 24240, 267, 855, 2604, 1131, 6157, 581, 4547, 547, 7703, 593, 1072, 1416, 7426, 676, 1004, 17596, 547, 2226, 741, 7694, 267, 7488, 540, 2436, 789, 723, 513, 1164, 1981, 540, 3968, 269, 6270, 513, 10421, 1223, 1689, 3928, 540, 6669, 19718, 267, 543, 1131, 10460, 513, 14196, 585, 1346, 2043, 585, 7247, 519, 6669, 568, 1199, 1227, 15333, 785, 5344, 630, 16269, 1131, 2901, 1491, 519, 6669, 610, 6336, 7694, 264, 543, 1131, 581, 513, 2009, 18670, 540, 519, 4892, 609, 24894, 2920, 610, 7222, 1533, 2861, 9659, 4027, 630, 312, 836, 1696, 620, 1421, 476, 1708, 271, 1040, 13495, 730, 12674, 1223, 849, 29875, 7170, 23446, 540, 519, 6406, 7126, 2920, 540, 476, 3422, 275, 952, 972, 568, 513, 3909, 608, 18277, 610, 1223, 29875, 7104, 29541, 2924, 630, 514, 9769, 1242, 28737, 1040, 3958, 267, 621, 568, 1271, 547, 4063, 602, 519, 12581, 14305, 10325, 786, 3111, 952, 513, 5094, 4357, 6669, 2344, 19674, 585, 1346, 945, 666, 2628, 519, 1034, 269, 5254, 299, 307, 8128, 1058, 711, 3649, 591, 689, 741, 15984, 547, 519, 6069, 12581, 14305, 5943, 547, 14183, 519, 7569, 540, 4357, 12820, 610, 5238, 602, 616, 5275, 610, 8506, 12674, 540, 782, 4600, 563, 2026, 513, 3803, 1383, 267, 952, 2829, 798, 711, 1683, 1863, 6669, 1569, 547, 1004, 1510, 12319, 540, 3656, 4567, 267, 1287, 519, 14305, 5943, 568, 24240, 267, 855, 824, 2959, 540, 2883, 1489, 630, 324, 3052, 1421, 24960, 344, 267, 1072, 1949, 267, 14453, 3549, 264, 786, 581, 2877, 547, 2327, 1569, 547, 12674, 585, 1346, 2043, 563, 347, 27087, 538, 2353, 6327, 17563, 2008, 347, 5472, 6327, 5943, 568, 24240, 269, 2368, 2043, 4309, 12674, 2663, 982, 789, 1131, 6382, 8198, 347, 5472, 6327, 5943, 568, 24240, 267, 855, 930, 2043, 4309, 12674, 2663, 269, 17261, 1588, 1058, 946, 2994, 543, 1949, 630, 324, 3052, 1421, 946, 540, 3964, 7426, 610, 946, 540, 10480, 518, 958, 11727, 1072, 7740, 264, 547, 2327, 15364, 540, 1416, 1063, 519, 1101, 543, 2034, 9570, 269, 5637, 13066, 1131, 991, 547, 581, 519, 1482, 1826, 540, 6669, 267, 865, 713, 1131, 635, 12393, 519, 2034, 9570, 952, 1896, 2010, 616, 2139, 8198, 347, 18744, 21138, 547, 713, 2551, 32299, 952, 6669, 2640, 29387, 519, 4220, 8198, 347, 16676, 28204, 6895, 6669, 3106, 607, 519, 6669, 568, 18202, 856, 269, 8307, 21138, 547, 2043, 585, 7247, 6669, 2640, 29387, 519, 4220, 8198, 347, 16676, 28204, 6895, 6669, 3106, 607, 519, 6669, 568, 18202, 856, 269, 8307, 21138, 547, 713, 2551, 32299, 952, 6669, 2640, 29387, 519, 4220, 8198, 347, 309, 3147, 710, 19718, 568, 2539, 982, 4397, 2008, 31871, 540, 28404, 9537, 2008, 347, 5415, 982, 835, 6669, 1826, 2139, 2008, 347, 292, 3671, 2438, 17148, 543, 21210, 21073, 2008, 347, 292, 3671, 2438, 3262, 568, 11173, 2066, 1454, 540, 519, 2136, 2276, 950, 519, 6669, 3587, 2139, 2008, 347, 292, 3671, 2438, 568, 10825, 1034, 6385, 538, 1880, 3905, 9634, 950, 519, 6669, 3587, 2139, 2008, 347, 309, 3147, 710, 17392, 543, 10029, 2008, 347, 1805, 919, 616, 2838, 547, 1246, 5313, 4808, 585, 6669, 14305, 2008, 347, 1805, 919, 723, 930, 682, 1168, 599, 538, 519, 6708, 547, 799, 789, 1246, 5313, 4808, 585, 6669, 14305, 2008, 347, 12892, 267, 9483, 267, 543, 13751, 12745, 338, 2008, 347, 5278, 2829, 23626, 12674, 540, 1153, 18244, 2008, 347, 5278, 12820, 2154, 6169, 540, 12674, 2008, 347, 5278, 2829, 798, 711, 1683, 1863, 6669, 1569, 547, 1004, 1510, 12319, 540, 3656, 4567, 2008, 24922, 630, 28495, 619, 585, 8376, 6513, 543, 10644, 1040, 476, 1001, 278, 269, 7991, 17846, 4808, 547, 2061, 6855, 14798, 1765, 18197, 2276, 267, 476, 1001, 278, 269, 5651, 321, 7190, 543, 18200, 1275, 28315, 7797, 476, 5780, 281, 272, 1700, 4097, 269, 4179, 2517, 4178, 6983, 26501, 10993, 270, 7825, 342, 337, 270, 14179, 6979, 270, 5780, 29265, 337, 29265, 337, 32133, 272, 320, 272, 21867, 630, 17739, 539, 5181, 476, 2641, 267, 476, 1708, 271, 1916, 24922, 269, 476, 1708, 271, 320, 269, 6348, 874, 1301, 11914, 7459, 630, 23259, 3674, 1040, 24611, 267, 21781, 281, 15509, 269, 4179, 2517, 4178, 6983, 26501, 10993, 270, 12061, 874, 1301, 11914, 17942, 6761, 27651, 11258, 630, 17739, 539, 4864, 476, 866, 267, 476, 1708, 271, 1916, 24922, 269, 476, 1708, 271, 321, 269, 5046, 268, 866, 281, 4317, 26865, 281, 5901, 513, 2922, 3845, 547, 3500, 519, 3262, 269, 24611, 267, 21781, 281, 15509, 269, 4179, 2517, 4178, 6983, 26501, 10993, 11305, 528, 517, 8785, 270, 1001, 280, 5991, 322, 990, 270, 2181, 1203, 268, 1326, 1154, 1606, 1157, 4882, 3469, 1673, 626, 3496, 11258, 630, 17739, 539, 4864, 476, 866, 267, 476, 1708, 271, 1916, 347, 27087, 538, 2353, 6327, 17563, 2008, 347, 5472, 6327, 5943, 568, 24240, 269, 634, 2792, 5859, 18913, 519, 6669, 1590, 7291, 519, 4220, 543, 2640, 540, 519, 6669, 538, 513, 23610, 1259, 602, 2818, 540, 519, 2551, 666, 1174, 8198, 347, 5472, 6327, 5943, 568, 24240, 267, 855, 799, 10074, 616, 21248, 547, 799, 2551, 2516, 1590, 1491, 883, 2272, 519, 2640, 543, 28746, 540, 519, 6669, 585, 1142, 2551, 1895, 8198, 347, 5472, 6327, 5943 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2339, 875, 25064, 610, 29737, 789, 10790, 312, 3100, 547, 596, 693, 519, 942, 610, 2663, 563, 763, 1249, 602, 891, 2055, 616, 538, 707, 2247, 267, 1797, 602, 789, 616, 2502, 596, 547, 930, 6708, 1107, 1256, 952, 621, 568, 1152, 707, 9345, 610, 3860, 23238, 602, 616, 4466, 741, 1259, 547, 581, 5950, 269, 634, 3152, 10479, 596, 2285, 3054, 585, 3388, 3238, 538, 1018, 596, 616, 1565, 607, 1134, 607, 547, 581, 2189, 267, 519, 811, 4960, 596, 2285, 3054, 585, 11981, 707, 1565, 563, 1692, 547, 2972, 1565, 676, 14785, 3054, 888, 1432, 568, 811, 11791, 982, 513, 8007, 286, 589, 8007, 602, 2501, 1310, 519, 18399, 540, 15980, 602, 8007, 1107, 1310, 519, 8007, 540, 2965, 11981, 519, 1565, 269, 6787, 621, 779, 519, 942, 6170, 1565, 610, 513, 25162, 538, 707, 1565, 630, 320, 3184, 267, 513, 1966, 12193, 267, 513, 1433, 6192, 1070, 8726, 621, 568, 1107, 8007, 3054, 585, 8757, 602, 3804, 269, 17644, 1463, 938, 5397, 543, 3986, 519, 7772, 540, 1565, 267, 2899, 6913, 563, 763, 8007, 666, 581, 4376, 602, 596, 991, 610, 2972, 630, 320, 1007, 6292, 540, 27890, 267, 513, 7552, 547, 519, 7260, 16222, 609, 2828, 610, 1565, 7649, 267, 513, 1007, 1433, 596, 723, 1044, 16462, 547, 1224, 610, 6148, 513, 7552, 547, 513, 2199, 1148, 19922, 610, 9754, 609, 1390, 2754, 610, 1018, 827, 513, 1007, 1719, 596, 723, 1044, 16462, 547, 1491, 909, 855, 596, 1175, 723, 1932, 1454, 547, 1353, 1101, 269, 3767, 568, 519, 942, 596, 1205, 547, 8007, 3054, 585, 707, 1565, 1107, 609, 519, 18399, 540, 1565, 563, 7661, 267, 547, 1832, 909, 519, 8404, 543, 7772, 540, 1565, 454, 13014, 513, 1592, 538, 707, 21641, 267, 540, 782, 519, 1919, 602, 596, 1131, 2972, 1565, 269, 630, 10175, 3544, 540, 519, 1433, 1565, 1040, 14190, 3054, 547, 1902, 538, 3054, 543, 707, 2104, 609, 513, 1007, 835, 1169, 942, 596, 9585, 513, 24182, 269, 0, 763, 8781, 14815, 267, 6382, 5219, 547, 607, 29463, 267, 4386, 950, 3679, 1212, 10134, 1394, 909, 519, 24647, 689, 519, 7181, 269, 2334, 779, 1946, 1004, 9787, 269, 4463, 839, 519, 2360, 540, 3679, 17406, 269, 634, 1966, 563, 3719, 952, 519, 700, 2464, 10741, 1932, 1419, 610, 3085, 1406, 2673, 17401, 2614, 267, 7181, 3679, 666, 694, 788, 883, 519, 24647, 543, 2014, 513, 8781, 14815, 269, 1403, 596, 2461, 9176, 267, 519, 9449, 1322, 6856, 821, 666, 6001, 707, 700, 2464, 563, 10907, 573, 4414, 1075, 619, 269, 9839, 14315, 568, 519, 1267, 540, 7181, 3679, 10943, 4770, 1394, 883, 519, 24647, 267, 799, 5932, 513, 8781, 4743, 269, 1403, 602, 3085, 1405, 960, 267, 8102, 656, 561, 1314, 2510, 8886, 622, 519, 15499, 16298, 267, 4543, 547, 16578, 15108, 5322, 269, 5269, 2386, 547, 563, 288, 2362, 1981, 540, 2669, 568, 2404, 609, 1279, 3856, 946, 540, 2442, 7181, 3679, 1487, 6203, 1634, 607, 23442, 6802, 20127, 269, 4122, 1572, 26076, 3674, 269, 2334, 4137, 3085, 1406, 1331, 936, 7308, 23716, 6455, 563, 2791, 1058, 2057, 6995, 950, 596, 616, 7680, 2589, 540, 3679, 17406, 269, 3220, 715, 514, 611, 918, 752, 1372, 6645, 596, 1946, 269, 1411, 1205, 3679, 17406, 950, 269, 8928, 1318, 1394, 909, 1317, 519, 11896, 3085, 1406, 2611, 6806, 4586, 288, 281, 1879, 596, 2911, 827, 3679, 8781, 998, 1945, 269, 769, 1249, 267, 707, 7181, 3679, 568, 607, 2178, 607, 6007, 3679, 269, 1924, 1946, 3085, 1406, 707, 7181, 1205, 14616, 998, 286, 1411, 723, 2027, 2281, 3330, 707, 563, 4407, 519, 2589, 540, 17406, 6157, 4125, 3679, 543, 519, 7181, 9115, 1036, 4026, 23550, 883, 519, 522, 525, 20652, 267, 713, 3069, 3085, 1405, 2491, 1946, 621, 4523, 563, 296, 917, 1018, 596, 2461, 3206, 1317, 594, 2219, 281, 952, 519, 3679, 538, 707, 7181, 568, 2178, 2614, 547, 23271, 4496, 267, 1946, 3085, 1406, 621, 6633, 1318, 998, 519, 16298, 540, 519, 7181, 286, 2334, 779, 513, 1390, 2243, 855, 563, 4692, 17292, 956, 20531, 9839, 14315, 1548, 3123, 804, 4548, 1465, 269, 2021, 1995, 29463, 1107, 519, 6091, 540, 519, 522, 525, 20652, 616, 711, 607, 4827, 539, 267, 3850, 23441, 3679, 547, 2951, 16057, 269, 769, 2489, 267, 938, 4703, 968, 28755, 557, 892, 3536, 649, 991, 269, 15434, 1324, 269, 2052, 589, 21250, 656, 19716, 6875, 4165, 29403, 7305, 1206, 3657, 596, 11842, 952, 596, 1522, 581, 9176, 286, 634, 1152, 1259, 547, 917, 585, 2386, 568, 676, 454, 2537, 4239, 476, 1001, 279, 269, 634, 29463, 543, 17406, 568, 1175, 711, 2469, 2476, 256, 594, 3323, 1055, 269, 594, 1810, 1405, 2356, 723, 29463, 610, 17406, 2042, 267, 1152, 950, 594, 4235, 670, 3241, 269, 594, 2731, 563, 4913, 267, 519, 16298, 540, 519, 24647, 3085, 1406, 723, 519, 1482, 2186, 540, 8031, 607, 519, 7181, 269, 1879, 519, 3679, 2501, 909, 883, 519, 24647, 267, 621, 666, 1711, 513, 8781, 14815, 269, 589, 1906, 1761, 4128, 563, 277, 9484, 476, 1220, 280, 269, 589, 2487, 1353, 5795, 519, 5061, 547, 1004, 945, 4769, 1405, 723, 7181, 2042, 547, 2253, 609, 269, 27819, 3368, 2919, 834, 516, 20129, 257, 3679, 17406, 1310, 2921, 519, 5061, 585, 476, 1321, 269, 1677, 844, 749, 519, 6633, 267, 1352, 5612, 4682, 1394, 593, 2398, 559, 846, 322, 563, 1428, 3967, 476, 1220, 273, 269, 1879, 621, 2501, 547, 9023, 519, 8781, 1928, 540, 8819, 8539, 610, 606, 28332, 7181, 16298, 267, 4227, 519, 2179, 540, 3679, 538, 519, 7181, 949, 3100, 899, 563, 296, 917, 1018, 596, 2461, 3206, 281, 8028, 309, 2186, 540, 17236, 547, 2253, 609, 267, 865, 1946, 593, 3618, 1131, 594, 1616, 547, 269, 1223, 27985, 3142, 1524, 519, 9063, 540, 707, 7181, 269, 968, 10190, 267, 519, 7181, 3085, 1406, 723, 547, 1118, 922, 1378, 563, 2710, 596, 1995, 8781, 269, 3850, 3679, 5627, 7181, 5714, 547, 10943, 1662, 909, 883, 519, 24647, 1141, 621, 3085, 1406, 4866, 269, 901, 3123, 9636, 543, 16698, 547, 519, 24647, 543, 519, 2589, 540, 563, 10907, 573, 17406, 269, 2659, 7181, 568, 6870, 689, 519, 1351, 4592, 633, 2360, 540, 7181, 3679, 269, 1403, 707, 2539, 1965, 23569, 838, 327, 3307, 518, 3085, 1406, 2061, 707, 7181, 3679, 689, 682, 1136, 856, 540, 707, 7181, 543, 883, 563, 1839, 8734, 476, 1001, 279, 269, 12580, 540, 1970, 7181, 3679, 1331, 29463, 267, 30724, 3878, 543, 26533, 267, 1851, 1866, 269, 9839, 14315, 267, 513, 8781, 14815, 538, 519, 9221, 3361, 676, 519, 269, 581, 17468, 593, 922, 1378, 267, 855, 513, 6325, 1259, 547, 798, 713, 18387, 1405, 1044, 1336, 563, 1103, 1228, 12930, 7181, 3679, 2157, 2322, 782, 891, 2629, 2238, 693, 1981, 269, 4208, 3085, 1406, 713, 6007, 3679, 6633, 998, 707, 7181, 267, 596, 949, 2307, 269, 634, 2635, 7181, 814, 513, 8825, 16298, 602, 759, 1235, 563, 29587, 14315, 630, 29403, 17406, 264, 568, 513, 11213, 8781, 14815, 538, 519, 9221, 269, 3587, 4617, 543, 1281, 711, 2673, 4628, 267, 610, 6001, 525, 693, 519, 4636, 4090, 267, 7181, 3679, 666, 563, 3963, 286, 18729, 17406, 269, 12662, 596, 7181, 538, 513, 1434, 2990, 547, 7413, 2589, 1040, 1879, 7446, 513, 530, 8354, 10788, 578, 267, 3220, 269, 918, 807, 1443, 2478, 1904, 532, 585, 835, 602, 779, 693, 2547, 476, 277, 547, 476, 279, 6279, 5394, 547, 1205, 2614, 540, 606, 563, 1321, 9484, 476, 1001, 279, 269, 1403, 596, 2811, 835, 540, 519, 6634, 540, 2826, 338, 945, 7985, 689, 3679, 17406, 610, 29463, 267, 1491, 269, 3509, 540, 721, 917, 519, 2995, 2389, 1446, 4191, 1107, 513, 8781, 14815, 538, 519, 9221, 543, 269, 5213, 1405, 5855, 1498, 267, 607, 649, 723, 930, 1283, 4388, 547, 948, 596, 2569, 3679, 17406, 269, 1198, 593, 7181, 3679, 267, 543, 4061, 6971, 29463, 2589, 563, 29587, 14315, 4386, 950, 7181, 7408, 17406, 267, 610, 2095, 909, 267, 883, 519, 24647, 269, 1879, 713, 4887, 3085, 1405, 960, 7157, 267, 621, 2636, 7408, 547, 1394, 909, 883, 519, 24647, 269, 3509, 29463, 24412, 1995, 519, 8781, 14815, 1634, 607, 563, 29587, 14315, 568, 3361, 676, 7181, 3679, 8375, 538, 707, 11563, 269, 9839, 14315, 568, 519, 2012, 2016, 547, 519, 8781, 4743, 610, 3002, 602, 5956, 538, 707, 9221, 543, 269, 547, 707, 7181, 3085, 1405, 2673, 17401, 267, 610, 6001, 525, 1932, 1419, 267, 3850, 3679, 689, 519, 7181, 547, 563, 4692, 589, 21250, 656, 19716, 6875, 4165, 29403, 7305, 1206, 3657, 596, 11842, 952, 596, 1522, 581, 9176, 286, 634, 1152, 1259, 547, 917, 585, 2386, 568, 676, 2921, 513, 6379, 1449, 269, 1809, 972, 616, 2038, 2589, 540, 6379, 602, 949, 1448, 547, 519, 7872, 269, 3371, 779, 1018, 547, 269, 2904, 476, 1240, 267, 476, 1001, 278, 269, 21250, 656, 2021, 949, 1491, 891, 11955, 952, 789, 5693, 991, 873, 269, 2732, 543, 1869, 723, 454, 300, 1075, 748, 26148, 2281, 693, 519, 8405, 540, 519, 23441, 29365, 1711, 513, 4494, 540, 269, 594, 1810, 1405, 1174, 519, 2034, 2243, 282, 834, 9827, 267, 875, 1281, 519, 7181, 25601, 519, 3106, 563, 2190, 2904, 476, 1001, 279, 269, 634, 24647, 568, 513, 16757, 8546, 16046, 519, 5023, 547, 519, 7181, 269, 1403, 1404, 3724, 3085, 1405, 2253, 16172, 267, 2119, 1964, 691, 532, 707, 3926, 269, 898, 2356, 7959, 899, 513, 8781, 1928, 538, 519, 9221, 267, 4098, 3297, 519, 269, 10266, 2164, 689, 519, 8886, 908, 2360, 540, 7181, 3679, 593, 519, 6418, 24647, 3774, 267, 799, 1281, 711, 563, 2641, 4924, 476, 1001, 279, 269, 4014, 17573, 3679, 17406, 4465, 1405, 6146, 596, 267, 621, 1058, 1869, 581, 3144, 12517, 269, 607, 621, 781, 20248, 1634, 1765, 665, 15479, 950, 7181, 3679, 8928, 1394, 909, 883, 269, 17451, 3276, 6244, 909, 851, 540, 513, 7594, 596, 1175, 17696, 543, 5433, 707, 11563, 6633, 888, 2190, 7325, 476, 1001, 278, 269, 589, 9395, 14815, 538, 519, 9221, 267, 6084, 3240, 11376, 520, 267, 513, 8781, 10943, 1662, 602, 3762, 513, 269, 834, 2252, 519, 700, 2464, 3085, 1405, 4628, 2673, 267, 7181, 9115, 666, 13451, 689, 519, 563, 1321, 9947, 476, 1001, 280, 269, 2552, 9009, 547, 2442, 3661, 267, 29463, 543, 717, 26314, 616, 3361, 676, 1932, 2370, 1107, 711, 1932, 1454, 1107, 7181, 3679, 269, 3367, 593, 547, 1451, 811, 563, 1607, 1455, 2783, 5540, 1082, 1004, 538, 8795, 5232, 543, 568, 27537, 676, 922, 1034, 21898, 16341, 10835, 1107, 513, 8781, 563, 763, 1455, 2589, 540, 3679, 17406, 616, 8781, 14815, 538, 519, 9221, 267, 4049, 1928, 538, 519, 7181, 267, 554, 27364, 5725, 267, 26533, 267, 3092, 269, 1717, 267, 649, 3622, 1904, 585, 1884, 29403, 950, 649, 7985, 689, 23639, 855, 621, 563, 5649, 593, 547, 1451, 811, 827, 1018, 1522, 581, 4929, 707, 8781, 7181, 267, 543, 875, 596, 666, 1265, 8323, 269, 30887, 525, 23569, 17406, 2068, 630, 294, 26314, 264, 4523, 950, 7181, 3679, 8928, 1394, 883, 707, 24647, 269, 898, 563, 2767, 4239, 476, 1001, 280, 269, 9839, 14315, 568, 513, 4743, 540, 8781, 1928, 610, 9636, 538, 519, 9221, 267, 1809, 547, 1711, 513, 1279, 18835, 5786, 540, 7181, 3679, 267, 1004, 616, 849, 563, 3719, 717, 2207, 3884, 1405, 1175, 513, 1966, 585, 4079, 2443, 3214, 666, 723, 621, 267, 1932, 267, 1256, 9002, 269, 1656, 538, 4587, 3214, 543, 12322, 267, 717, 2207, 666, 1291, 547, 29463, 267, 543, 7181, 543, 269, 630, 849, 1634, 607, 3679, 30724, 3878, 1070, 799, 7959, 899, 513, 8781, 14815, 538, 519, 9221, 267, 8405, 563, 7212, 3679, 17406, 568, 1360, 1455, 543, 3085, 1406, 10460, 269, 513, 8781, 1928, 267, 1634, 607, 29463, 267, 538, 519, 9221, 2437, 3081, 3220, 1488, 684, 774, 12011, 26196, 1690, 534, 267, 2564, 8689, 540, 645, 1575, 320, 630, 321, 1575, 320, 16691, 16896, 1040, 634, 1928, 596, 1745, 1282, 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 ]
[ 0, 258, 6726, 611, 7702, 632, 512, 842, 320, 21506, 331, 1173, 3120, 815, 10581, 9272, 3488, 14707, 924, 513, 2434, 3120, 13005, 533, 732, 1372, 281, 1412, 17903, 5306, 3120, 815, 10581, 9272, 3488, 14707, 924, 513, 5621, 3120, 13005, 533, 732, 1372, 281, 1412, 17903, 19327, 815, 2434, 3120, 2608, 5621, 3120, 1477, 336, 4671, 842, 320, 815, 1858, 270, 273, 1477, 2745, 6600, 262, 315, 333, 2026, 3897, 839, 383, 369, 525, 13005, 533, 732, 1372, 521, 14244, 2715, 331, 1173, 3120, 26507, 346, 5306, 3120, 348, 332, 552, 647, 320, 3331, 350, 16699, 20527, 632, 2715, 19327, 15545, 273, 325, 348, 332, 11054, 26142, 333, 309, 665, 17845, 3348, 13453, 632, 2715, 336, 4671, 842, 320, 15545, 273, 325, 348, 1396, 4592, 632, 512, 842, 320, 9538, 3418, 258, 16948, 535, 1794, 518, 522, 476, 273, 632, 544, 11054, 20527, 521, 6759, 25180, 541, 522, 9338, 307, 13005, 25680, 7534, 552, 522, 798, 529, 1477, 0, 258, 590, 5448, 7202, 549, 632, 19804, 8884, 334, 5897, 338, 5448, 815, 476, 271, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 26341, 8029, 825, 952, 630, 328, 4939, 476, 273, 264, 11203, 476, 271, 543, 630, 328, 4939, 476, 274, 264, 2652, 476, 271, 6769, 1038, 1474, 320, 6834, 1775, 1477, 2745, 6600, 262, 302, 1267, 5964, 13005, 1474, 320, 20527, 281, 2715, 338, 5448, 348, 10807, 567, 1477, 0, 258, 1323, 5451, 331, 1047, 632, 12673, 1477, 322, 573, 1228, 815, 1193, 9272, 3488, 14707, 924, 522, 562, 727, 13005, 524, 573, 1228, 900, 6446, 4938, 17845, 13439, 576, 340, 281, 1412, 26895, 29328, 3890, 1948, 29328, 5154, 2088, 1965, 11985, 9809, 657, 967, 3150, 329, 5451, 557, 529, 1477, 322, 815, 524, 573, 1228, 31573, 14052, 604, 1412, 338, 27053, 262, 538, 524, 21858, 3890, 314, 271, 316, 6769, 825, 1820, 3488, 288, 524, 573, 1228, 6446, 4938, 17845, 13439, 576, 340, 2097, 9809, 320, 635, 16114, 334, 20298, 12828, 6769, 825, 1820, 3488, 288, 524, 573, 1228, 6446, 4938, 17845, 13439, 576, 340, 562, 14244, 2097, 9809, 320, 635, 16114, 334, 20298, 0, 258, 595, 5451, 331, 1529, 334, 632, 606, 334, 20312, 572, 868, 334, 1477, 18257, 1477, 301, 7974, 6769, 303, 4673, 1583, 20312, 572, 868, 334, 267, 522, 606, 334, 632, 557, 1583, 6769, 265, 567, 6555, 529, 6403, 767, 11188, 476, 275, 269, 27189, 334, 15849, 267, 513, 8954, 14244, 20527, 608, 1092, 635, 522, 1964, 334, 28075, 783, 513, 4642, 282, 1477, 265, 567, 715, 14244, 533, 1712, 1583, 544, 14243, 2741, 328, 680, 657, 632, 476, 1911, 21506, 265, 567, 1546, 557, 1583, 8954, 6403, 767, 11188, 476, 6110, 18257, 24653, 5228, 30220, 1104, 4266, 1477, 8457, 815, 703, 9272, 3488, 1103, 845, 324, 522, 606, 334, 6446, 844, 518, 1387, 529, 541, 269, 2051, 20529, 476, 271, 694, 844, 16014, 522, 606, 334, 693, 783, 281, 1412, 17903, 604, 606, 334, 2652, 476, 271, 6769, 825, 606, 334, 815, 4266, 6745, 3736, 14061, 20204, 476, 1948, 890, 8615, 522, 606, 334, 13005, 1239, 632, 11876, 16660, 1477, 604, 630, 8457, 4939, 476, 275, 2652, 476, 271, 264, 543, 630, 8457, 4939, 476, 1911, 11203, 476, 271, 264, 610, 630, 8457, 4939, 476, 6110, 2652, 476, 271, 8029, 825, 1820, 6600, 262, 302, 606, 334, 2715, 8457, 348, 20527, 645, 3041, 10345, 311, 15674, 20298, 12828, 6769, 825, 1820, 6600, 262, 302, 606, 334, 2715, 8457, 348, 562, 14244, 20527, 645, 3041, 10345, 311, 15674, 20298, 0, 258, 28294, 3121, 23843, 632, 12673, 1477, 2745, 3488, 21228, 21228, 3071, 1693, 13090, 20298, 333, 727, 815, 1193, 9272, 3488, 14707, 924, 522, 694, 340, 562, 727, 281, 1412, 26895, 29328, 3890, 476, 1948, 14816, 5154, 2088, 2680, 7699, 529, 1965, 11985, 9809, 657, 538, 14243, 974, 529, 632, 538, 545, 1470, 552, 535, 574, 1202, 518, 573, 657, 10652, 334, 721, 340, 5451, 26369, 1477, 2745, 6600, 24202, 15710, 562, 727, 900, 1577, 6652, 544, 2967, 14243, 338, 1529, 553, 20527, 281, 2715, 333, 727, 269, 21639, 3890, 348, 20298, 2745, 6600, 24202, 15710, 562, 727, 900, 1577, 6652, 1295, 14243, 338, 1529, 553, 20527, 281, 2715, 333, 727, 31573, 3890, 348, 20298, 2745, 3488, 5353, 340, 562, 727, 1264, 1729, 1661, 15079, 1577, 6652, 8339, 8971, 12759, 3799, 727, 264, 910, 562, 727, 29644, 3488, 1412, 30727, 1948, 4186, 18372, 15259, 1965, 11985, 9809, 657, 642, 1794, 3930, 1477, 2745, 6600, 24202, 15710, 6305, 10098, 562, 727, 1661, 2715, 6352, 3799, 727, 21858, 3890, 314, 271, 8079, 348, 1577, 6652, 20298, 258, 5495, 1477, 28744, 6600, 24202, 15710, 6305, 10098, 562, 727, 1661, 2715, 333, 727, 26098, 3488, 1412, 14587, 264, 1948, 320, 1187, 23843, 1265, 1427, 1941, 320, 513, 1064, 328, 23843, 798, 6305, 10098, 4661, 334, 1217, 5964, 14255, 5569, 1477, 258, 4467, 334, 522, 1965, 11985, 9809, 334, 1654, 332, 1244, 12251, 798, 562, 727, 552, 513, 733, 720, 332, 2097, 9809, 320, 900, 476, 271, 267, 522, 562, 14243, 1067, 334, 1217, 5964, 11188, 1265, 1583, 5451, 28075, 783, 513, 334, 512, 16120, 14833, 798, 6305, 10098, 562, 727, 1477, 0, 11133, 272, 25507, 9272, 3890, 3418, 11133, 273, 25507, 9272, 3890, 10142, 2745, 16325, 272, 266, 11133, 273, 3418, 0, 12163, 273, 268, 272, 454, 12163, 332, 20687, 815, 834, 13601, 23521, 350, 418, 370, 486, 418, 479, 363, 4840, 2745, 9852, 20687, 9239, 12163, 273, 268, 273, 454, 12163, 332, 20687, 815, 834, 13601, 23521, 350, 418, 370, 486, 418, 479, 363, 4840, 2745, 9852, 20687, 2020, 332, 20687, 815, 834, 13161, 364, 418, 370, 486, 418, 479, 363, 4840, 2745, 9852, 20687, 2020, 12163, 273, 268, 274, 454, 12163, 4067, 815, 834, 2346, 335, 4840, 2745, 2891, 15916, 834, 1341, 2012, 1341, 14307, 1131, 579, 899, 547, 1451, 930, 9226, 2221, 15419, 12163, 273, 268, 275, 454, 12163, 4067, 815, 834, 2346, 335, 4840, 2745, 28442, 31573, 28829, 258, 16533, 493, 19540, 503, 454, 2745, 28442, 269, 21639, 28829, 258, 27962, 19540, 503, 454, 2745, 28442, 26644, 28829, 258, 421, 355, 500, 21211, 30006, 491, 27962, 19540, 503, 692, 12163, 273, 268, 276, 454, 12163, 4067, 815, 834, 2346, 335, 4840, 338, 27542, 815, 1412, 257, 419, 481, 511, 419, 486, 365, 13200, 509, 418, 368, 375, 8147, 20721, 510, 25426, 362, 420, 354, 379, 4970, 506, 257, 262, 258, 19764, 499, 9463, 371, 7511, 417, 369, 490, 417, 354, 501, 454, 2745, 28442, 1341, 834, 2899, 1767, 267, 834, 1341, 4845, 2020, 12163, 273, 268, 277, 454, 12163, 325, 13904, 7272, 3205, 815, 834, 2346, 335, 4840, 332, 20687, 815, 1412, 257, 419, 481, 511, 419, 486, 365, 13200, 509, 418, 368, 375, 8147, 20721, 510, 25426, 362, 420, 354, 379, 4970, 506, 257, 7055, 2745, 6600, 13904, 7272, 3205, 1341, 834, 2899, 1767, 267, 834, 1341, 5048, 2020, 12163, 273, 268, 278, 454, 12163, 4067, 815, 834, 476, 1422, 339, 2346, 335, 476, 27029, 2745, 28442, 25331, 29328, 28829, 258, 31308, 375, 30522, 353, 9463, 367, 20001, 373, 419, 358, 374, 419, 503, 377, 454, 2745, 28442, 7456, 29328, 28829, 258, 31308, 375, 30522, 353, 26266, 355, 20001, 373, 419, 358, 374, 419, 503, 377, 454, 2745, 28442, 14714, 8692, 28829, 258, 31308, 375, 30522, 353, 4970, 353, 20001, 373, 419, 358, 374, 419, 503, 377, 692, 12163, 273, 268, 279, 454, 12163, 2745, 263, 276, 1341, 476, 274, 994, 2745, 263, 280, 910, 476, 272, 994, 2745, 263, 273, 2608, 476, 275, 994, 2745, 263, 279, 1315, 476, 272, 2020, 12163, 273, 268, 280, 454, 12163, 11133, 815, 476, 1724, 454, 2745, 2891, 7069, 5172, 1003, 568, 834, 1341, 1193, 16325, 4297, 258, 1598, 12255, 21211, 420, 377, 361, 21211, 31033, 4970, 366, 454, 0, 26611, 16535, 270, 7090, 274, 692, 5814, 2979, 454, 5814, 15259, 454, 5814, 4351, 454, 5814, 556, 454, 5814, 19523, 19638, 16482, 258, 13159, 519, 1412, 22772, 302, 9536, 262, 1599, 2630, 563, 16482, 258, 634, 1599, 568, 4397, 547, 2132, 513, 31031, 5058, 563, 258, 634, 1599, 24693, 31031, 5058, 318, 2752, 6938, 312, 3126, 607, 9936, 563, 258, 692, 3698, 1265, 302, 9536, 4433, 7685, 2187, 825, 1820, 4433, 7685, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 22322, 567, 692, 825, 3126, 18045, 815, 703, 9272, 14061, 29328, 31156, 825, 3126, 815, 29129, 825, 585, 9041, 538, 2039, 4433, 7685, 18045, 2187, 1038, 3126, 318, 14403, 815, 3403, 4590, 1038, 3126, 6910, 4433, 7685, 318, 14403, 2020, 825, 1267, 815, 1265, 302, 9536, 4433, 7685, 994, 825, 1820, 31114, 2020, 3097, 0, 5814, 26417, 454, 5814, 19523, 454, 5814, 556, 454, 5814, 10070, 692, 3698, 1292, 10031, 825, 1948, 1205, 5528, 689, 16710, 6441, 710, 14803, 3701, 1210, 19523, 454, 825, 1948, 6165, 281, 9226, 31252, 18258, 12240, 4882, 332, 718, 27406, 9696, 270, 272, 17902, 630, 29019, 3977, 834, 7692, 5602, 825, 1948, 774, 992, 5470, 5048, 543, 14827, 952, 26571, 711, 4570, 8931, 825, 952, 7003, 4433, 903, 27769, 341, 264, 11203, 476, 274, 912, 1038, 1820, 9497, 13286, 269, 26402, 281, 9226, 31252, 18258, 6538, 24474, 27406, 9696, 24474, 17902, 5602, 1038, 14827, 263, 272, 994, 13872, 825, 1948, 17553, 4756, 585, 8228, 834, 5591, 26969, 257, 676, 9949, 1934, 585, 1569, 1369, 585, 8520, 454, 825, 6474, 318, 13765, 815, 8771, 692, 825, 1948, 3367, 519, 26417, 3758, 883, 3965, 267, 11483, 309, 568, 10416, 513, 3349, 4746, 1930, 519, 29255, 307, 3758, 543, 1224, 519, 1239, 547, 3965, 563, 825, 1948, 11483, 309, 5440, 1899, 2982, 2212, 619, 281, 8745, 267, 1287, 519, 1114, 2010, 540, 5254, 20745, 630, 25119, 264, 538, 519, 3758, 267, 681, 3298, 2630, 1397, 2012, 267, 1287, 1293, 540, 1346, 5254, 20745, 454, 825, 24563, 17572, 815, 1930, 630, 338, 903, 27769, 341, 314, 272, 3910, 834, 337, 5602, 825, 609, 1930, 630, 338, 903, 27769, 341, 314, 273, 3910, 834, 337, 8442, 607, 512, 868, 17572, 912, 1038, 5311, 815, 512, 868, 17572, 18667, 10797, 825, 1948, 3367, 519, 1101, 1899, 540, 519, 26417, 267, 4558, 1142, 6221, 607, 513, 5094, 4756, 269, 1280, 8520, 568, 972, 547, 4894, 519, 16543, 10628, 693, 519, 1439, 269, 31598, 711, 1360, 3608, 855, 621, 1568, 563, 825, 10917, 815, 556, 21858, 2891, 2437, 267, 24563, 17572, 18667, 1467, 15405, 825, 20927, 815, 11713, 825, 585, 3693, 538, 10917, 912, 1038, 20927, 6910, 16216, 2211, 14714, 8692, 15405, 825, 1948, 1820, 630, 3650, 518, 2020, 825, 1948, 7046, 519, 11483, 309, 3758, 267, 1224, 519, 1297, 540, 31031, 9587, 543, 4558, 602, 1871, 538, 5254, 20745, 267, 602, 786, 948, 568, 2697, 519, 3983, 18560, 563, 825, 1948, 7948, 1405, 4137, 856, 875, 547, 2196, 519, 3515, 1599, 1510, 17527, 519, 1964, 540, 519, 1599, 267, 865, 649, 2811, 2542, 7466, 267, 8695, 256, 1948, 324, 11797, 563, 825, 609, 1930, 630, 338, 903, 27769, 341, 314, 272, 3910, 834, 337, 8442, 607, 3758, 912, 1038, 31252, 18380, 815, 26417, 6185, 1112, 5649, 518, 31526, 994, 1038, 5254, 20745, 815, 7003, 5560, 3534, 18380, 269, 7615, 12849, 9984, 272, 454, 1038, 1948, 1820, 630, 325, 257, 22552, 1293, 281, 2715, 4306, 20745, 348, 15419, 825, 1948, 3367, 519, 3758, 883, 513, 9598, 269, 24511, 513, 25627, 540, 667, 1112, 338, 269, 3962, 4737, 568, 621, 781, 1378, 8675, 269, 9779, 14845, 267, 855, 621, 1175, 1797, 606, 3063, 4494, 540, 8520, 532, 2483, 825, 609, 1930, 630, 338, 903, 27769, 341, 314, 272, 3910, 834, 337, 8442, 607, 3758, 912, 1038, 31252, 18380, 815, 26417, 6185, 1112, 5649, 518, 31526, 994, 13872, 1038, 1948, 31230, 998, 1142, 6221, 538, 519, 546, 7228, 517, 776, 543, 2322, 1346, 2418, 883, 519, 556, 269, 14142, 1599, 563, 1038, 1948, 6744, 1142, 5027, 6474, 267, 952, 3811, 1832, 2469, 269, 1403, 782, 5027, 9696, 6474, 1287, 602, 781, 519, 1268, 563, 1038, 585, 4737, 538, 31252, 18380, 912, 2018, 1948, 17553, 4756, 9949, 338, 547, 476, 271, 585, 2973, 2164, 454, 2018, 1293, 815, 476, 271, 454, 2018, 2638, 815, 476, 271, 454, 2018, 585, 1883, 267, 1871, 538, 4737, 29096, 10031, 3546, 1948, 17553, 4632, 267, 1236, 6235, 519, 1101, 1899, 540, 519, 3758, 689, 519, 11571, 1599, 563, 3546, 1293, 815, 1293, 1341, 476, 272, 454, 3546, 952, 1293, 2652, 476, 272, 912, 7386, 2012, 815, 1871, 454, 7386, 3136, 454, 3546, 1948, 1820, 630, 4486, 267, 1871, 267, 2012, 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 ]
[ 519, 1297, 281, 834, 3418, 6358, 20311, 815, 703, 9272, 3890, 3418, 604, 3403, 20311, 3436, 476, 271, 6769, 825, 3977, 20311, 815, 3403, 20311, 2878, 476, 273, 1477, 19197, 3403, 20311, 2999, 476, 271, 6769, 825, 3977, 20311, 815, 2612, 9272, 20311, 3418, 12828, 6769, 825, 3977, 20311, 815, 476, 271, 1477, 2745, 263, 16059, 20311, 3418, 0, 12849, 815, 11713, 1721, 9041, 538, 2039, 263, 276, 2187, 825, 2012, 815, 3403, 2891, 8923, 4283, 519, 2012, 540, 2576, 596, 917, 269, 19515, 825, 4408, 6910, 28442, 2020, 258, 7711, 307, 7495, 302, 281, 2422, 513, 1592, 8223, 547, 1711, 513, 1592, 540, 2539, 322, 1078, 4408, 454, 869, 2075, 1078, 815, 1496, 4067, 31573, 3890, 585, 2012, 538, 4408, 6540, 258, 7711, 307, 7495, 302, 281, 2422, 513, 1592, 8223, 547, 1711, 513, 1592, 540, 31194, 4408, 454, 258, 4179, 2517, 4178, 269, 32491, 714, 2593, 270, 7090, 3491, 13559, 2719, 8276, 1385, 338, 270, 11415, 270, 5115, 1388, 1125, 454, 322, 2355, 815, 1496, 4067, 269, 21639, 3890, 585, 2012, 538, 4408, 6540, 514, 10903, 725, 815, 1496, 454, 825, 535, 257, 32091, 2715, 4067, 9574, 5225, 2097, 547, 519, 16806, 713, 14349, 10590, 585, 2012, 538, 11503, 6540, 1721, 27592, 538, 1045, 14591, 912, 825, 1820, 263, 28717, 2787, 2020, 825, 1948, 645, 2177, 4785, 454, 258, 8073, 513, 9684, 596, 4063, 547, 581, 9619, 547, 782, 14538, 1210, 454, 258, 535, 268, 11415, 543, 1820, 519, 3948, 1210, 2387, 27583, 13237, 1599, 563, 258, 634, 9684, 596, 4063, 1058, 581, 281, 834, 32091, 16823, 2012, 267, 7064, 585, 4947, 543, 14120, 609, 721, 15323, 339, 12822, 1103, 10903, 725, 815, 1496, 454, 825, 535, 262, 291, 792, 2715, 4067, 9574, 7064, 585, 4947, 543, 14120, 609, 721, 256, 262, 585, 2012, 538, 4408, 6540, 1721, 27592, 538, 11331, 1103, 10903, 725, 912, 825, 1820, 263, 28717, 2787, 26644, 15405, 0, 258, 306, 21283, 4041, 11550, 16165, 4456, 20978, 21398, 10498, 645, 5085, 8582, 6769, 18257, 1477, 258, 1607, 1982, 1138, 12885, 606, 30981, 8470, 602, 1236, 2354, 519, 19412, 18818, 6989, 269, 5897, 258, 11917, 1555, 519, 6989, 1297, 689, 519, 3593, 607, 606, 703, 23228, 28776, 815, 703, 9272, 2891, 14503, 3233, 281, 834, 264, 10142, 258, 3849, 3286, 6989, 952, 2556, 23228, 604, 6989, 3436, 476, 1724, 6769, 825, 4890, 14503, 3233, 815, 6989, 910, 476, 272, 1477, 12828, 6769, 825, 4890, 14503, 3233, 815, 6989, 1477, 258, 19530, 519, 1267, 1477, 2745, 2891, 763, 6989, 786, 2951, 547, 519, 4890, 6989, 2580, 4890, 14503, 3233, 3418, 18257, 1477, 258, 2750, 1356, 322, 1047, 476, 272, 267, 4787, 760, 1312, 476, 1724, 543, 476, 1691, 267, 796, 331, 13806, 1477, 258, 2414, 798, 713, 1775, 666, 5299, 519, 8631, 689, 1657, 543, 7696, 1776, 952, 3948, 23228, 28776, 815, 703, 9272, 2891, 14503, 3233, 281, 834, 264, 10142, 258, 3849, 3286, 6989, 952, 2556, 23228, 604, 6989, 2652, 476, 1724, 6769, 825, 4890, 14503, 3233, 815, 6989, 910, 476, 272, 1477, 19197, 6989, 2652, 476, 1691, 6769, 825, 4890, 14503, 3233, 815, 6989, 910, 476, 273, 1477, 12828, 6769, 825, 4890, 14503, 3233, 815, 6989, 910, 476, 272, 1477, 258, 19530, 519, 1267, 1477, 2745, 2891, 763, 6989, 786, 2951, 547, 519, 4890, 6989, 2580, 4890, 14503, 3233, 3418, 18257, 1477, 9616, 281, 901, 3009, 568, 16609, 1317, 538, 1483, 1272, 972, 1131, 581, 2409, 547, 1477, 2181, 1203, 1569, 547, 891, 19683, 267, 4061, 713, 16494, 30981, 666, 3362, 1477, 13069, 727, 11821, 1477, 18257, 1477, 258, 2750, 1356, 322, 1047, 476, 273, 267, 2015, 519, 1739, 6769, 18257, 1477, 604, 3312, 25820, 3436, 476, 1911, 6769, 825, 31680, 25820, 815, 3312, 25820, 910, 1015, 1477, 12828, 6769, 825, 31680, 25820, 815, 3312, 25820, 910, 476, 736, 1477, 2252, 519, 3902, 568, 1447, 982, 476, 1911, 267, 596, 1205, 476, 736, 9489, 1055, 269, 1403, 519, 3902, 568, 1477, 1478, 476, 1911, 267, 596, 1205, 476, 1015, 9489, 1055, 1477, 4817, 1131, 1831, 476, 5952, 1477, 1911, 1131, 1831, 476, 3445, 1477, 10755, 1131, 1831, 476, 4817, 23228, 18257, 1477, 258, 2750, 1356, 322, 1047, 476, 274, 267, 2015, 519, 1739, 6769, 18257, 1477, 604, 3312, 25820, 2999, 476, 1911, 6769, 825, 31680, 25820, 815, 3312, 25820, 910, 1015, 1477, 12828, 6769, 825, 31680, 25820, 815, 3312, 25820, 910, 476, 736, 1477, 1607, 942, 519, 1079, 6898, 1131, 10396, 14877, 3977, 519, 1482, 1267, 952, 596, 3403, 1477, 18485, 476, 1911, 610, 476, 8099, 267, 1312, 1267, 538, 476, 3445, 23228, 18257, 1477, 258, 2750, 1356, 322, 1047, 476, 275, 267, 2015, 519, 1739, 6769, 18257, 1477, 4134, 12248, 539, 25820, 815, 3312, 25820, 1477, 604, 3312, 25820, 3436, 476, 1911, 6769, 825, 31680, 25820, 815, 3312, 25820, 910, 476, 1015, 1477, 4817, 1131, 3977, 476, 4817, 1477, 1911, 15562, 5495, 17162, 3977, 476, 1911, 1477, 10755, 1131, 3977, 476, 4817, 1477, 18257, 1477, 258, 2750, 1356, 322, 1047, 476, 276, 267, 23663, 543, 8631, 1477, 325, 3241, 8649, 870, 815, 703, 9272, 2891, 19152, 707, 4492, 2179, 281, 834, 17903, 325, 3241, 22479, 13369, 815, 476, 1911, 5897, 604, 4492, 8649, 870, 2999, 4492, 22479, 13369, 29688, 272, 6769, 825, 1820, 2891, 305, 3633, 10590, 3418, 12828, 6769, 825, 1820, 2891, 16675, 10590, 3418, 0, 18411, 258, 1410, 9052, 835, 454, 4289, 272, 815, 1496, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 267, 476, 1839, 2639, 343, 815, 1592, 272, 314, 271, 2639, 344, 815, 1592, 272, 15631, 272, 2639, 3698, 513, 630, 343, 267, 586, 2187, 825, 1820, 630, 1598, 3287, 264, 1341, 476, 14307, 834, 1341, 1193, 12169, 4917, 320, 3287, 11971, 994, 18257, 692, 18411, 258, 1410, 21683, 1047, 1079, 454, 4289, 272, 815, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 2639, 1721, 1775, 538, 1592, 272, 912, 825, 952, 1775, 2999, 476, 276, 912, 1038, 1820, 9217, 994, 18257, 692, 18411, 258, 1410, 9052, 1614, 454, 320, 815, 1496, 272, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 279, 267, 476, 1724, 267, 476, 2641, 267, 476, 4097, 267, 476, 4649, 267, 476, 8660, 2639, 321, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 267, 476, 1724, 2639, 322, 815, 11713, 1721, 1775, 538, 513, 912, 825, 585, 512, 538, 536, 912, 1038, 952, 630, 328, 2652, 512, 2187, 2018, 524, 6910, 9217, 994, 2745, 6262, 994, 18257, 692, 258, 1410, 518, 1047, 2185, 454, 5814, 28184, 5793, 607, 28184, 454, 5228, 28184, 5793, 1104, 5187, 539, 658, 690, 692, 24987, 815, 630, 842, 7565, 13678, 9482, 658, 690, 269, 2532, 11415, 2891, 19152, 2580, 834, 7312, 5048, 1934, 256, 2580, 2385, 284, 339, 330, 11053, 330, 3890, 4917, 2692, 18978, 815, 476, 272, 692, 1721, 1775, 538, 2039, 263, 273, 267, 2626, 268, 272, 2187, 825, 952, 630, 24987, 260, 328, 2652, 476, 271, 2187, 1038, 1820, 3488, 301, 2100, 5073, 1038, 1630, 18978, 815, 476, 271, 454, 1038, 2736, 454, 825, 3116, 912, 1038, 1820, 3488, 28646, 5073, 1038, 1630, 18978, 815, 476, 272, 692, 604, 630, 2692, 18978, 2652, 476, 272, 2187, 825, 1820, 3488, 312, 788, 5073, 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 ]
[ 540, 606, 19710, 1063, 519, 681, 592, 619, 540, 918, 8518, 21983, 267, 13259, 24703, 333, 26196, 543, 7137, 541, 607, 1134, 607, 519, 20276, 656, 4229, 540, 645, 1794, 15840, 611, 584, 269, 1452, 4745, 4229, 4359, 1996, 623, 597, 17124, 543, 7142, 1864, 547, 7477, 622, 4525, 5045, 547, 519, 5045, 540, 715, 16808, 3385, 269, 769, 1249, 538, 3843, 547, 3444, 715, 16808, 3385, 267, 623, 597, 17124, 729, 7166, 543, 538, 713, 6073, 519, 1101, 2479, 3801, 1500, 676, 519, 28753, 1023, 547, 2744, 1852, 540, 519, 918, 8518, 21983, 8513, 8507, 538, 513, 5821, 563, 3719, 1287, 621, 1058, 581, 15422, 602, 623, 597, 17124, 779, 4434, 593, 8738, 7315, 20580, 729, 593, 1010, 1378, 11036, 543, 711, 593, 519, 9753, 540, 519, 3844, 6392, 269, 1656, 3976, 1100, 2417, 7575, 547, 1285, 3188, 623, 597, 17124, 779, 2669, 610, 14710, 941, 1500, 269, 898, 729, 6045, 2476, 607, 513, 12343, 540, 1010, 1378, 16420, 2962, 563, 5804, 713, 942, 1524, 547, 476, 14991, 273, 267, 649, 1265, 4352, 972, 941, 17573, 20320, 17066, 540, 519, 28753, 1023, 609, 519, 17710, 540, 918, 8518, 21983, 543, 13259, 24703, 333, 26196, 607, 1134, 267, 855, 972, 941, 1100, 10260, 658, 1894, 609, 519, 1546, 764, 534, 529, 563, 3719, 519, 3510, 23384, 513, 9097, 1689, 538, 476, 14991, 273, 269, 19257, 5633, 17124, 26036, 664, 267, 945, 1185, 6450, 8215, 1996, 13019, 8663, 543, 1185, 513, 1804, 28753, 531, 30636, 826, 267, 1631, 3576, 12062, 609, 519, 14610, 540, 13259, 24703, 333, 26196, 269, 1924, 1631, 13019, 8663, 9715, 513, 20494, 9330, 1996, 519, 14610, 540, 13259, 24703, 333, 26196, 585, 4758, 519, 31111, 12062, 563, 6781, 592, 674, 1794, 331, 11339, 538, 519, 13019, 321, 7568, 4821, 602, 538, 476, 14991, 273, 3294, 13019, 8663, 4607, 519, 26195, 1195, 540, 631, 4669, 340, 5633, 715, 714, 600, 20961, 540, 13259, 24703, 333, 26196, 693, 3397, 571, 945, 4547, 609, 1864, 1082, 10475, 6799, 607, 1134, 607, 513, 4484, 540, 631, 4669, 340, 5633, 715, 714, 600, 20961, 7713, 519, 2990, 540, 13259, 24703, 333, 26196, 14610, 3823, 519, 31111, 19257, 5633, 269, 634, 1268, 945, 4547, 713, 4484, 729, 19257, 17124, 681, 714, 12858, 631, 1662, 327, 14508, 269, 4340, 547, 2806, 592, 674, 1794, 331, 267, 631, 4669, 340, 5633, 715, 714, 600, 20961, 21407, 13019, 8663, 547, 5397, 856, 519, 19257, 5633, 855, 15189, 547, 934, 27827, 547, 13019, 8663, 779, 3747, 602, 519, 19257, 345, 553, 581, 18486, 676, 519, 13259, 24703, 333, 26196, 8128, 543, 581, 19942, 936, 547, 519, 28753, 1023, 563, 13295, 621, 5526, 602, 13259, 24703, 333, 26196, 729, 711, 5870, 13019, 8663, 779, 3747, 4628, 267, 3976, 4758, 4473, 547, 28753, 531, 20494, 9330, 563, 10190, 28069, 538, 476, 14991, 273, 268, 10602, 267, 621, 4667, 602, 13019, 8663, 4956, 547, 8831, 1010, 3310, 936, 918, 8518, 21983, 269, 1261, 729, 15673, 539, 547, 798, 865, 585, 6654, 4128, 269, 634, 14610, 540, 918, 8518, 21983, 267, 19257, 534, 17124, 20961, 729, 5702, 24027, 609, 631, 4669, 340, 5633, 715, 714, 600, 20961, 609, 7247, 13019, 8663, 5740, 539, 513, 20494, 9330, 563, 2414, 3142, 3196, 593, 715, 714, 600, 20961, 267, 519, 28753, 1023, 2877, 513, 9087, 1054, 1245, 538, 519, 918, 8518, 21983, 3148, 267, 1510, 799, 519, 2604, 1223, 711, 581, 3710, 563, 288, 330, 8663, 5795, 12062, 547, 14076, 320, 18498, 16679, 267, 519, 19036, 540, 519, 10787, 340, 336, 328, 15913, 282, 646, 6905, 1864, 513, 544, 753, 629, 543, 795, 698, 597, 538, 5689, 11445, 689, 1141, 646, 1131, 581, 3463, 547, 19257, 534, 20961, 693, 918, 8518, 21983, 563, 5194, 16315, 540, 519, 4957, 10066, 729, 519, 2489, 4254, 7976, 799, 13019, 8663, 10288, 538, 476, 14991, 277, 896, 519, 4971, 540, 26757, 4725, 3291, 514, 13259, 24703, 16679, 267, 519, 28753, 531, 17294, 540, 5689, 11445, 609, 519, 10294, 2832, 540, 32415, 918, 8518, 21983, 1107, 855, 519, 10578, 2460, 540, 713, 2963, 568, 602, 2806, 592, 674, 1794, 331, 19528, 713, 1175, 2899, 543, 1287, 1281, 711, 1867, 1018, 2965, 5949, 27502, 281, 2436, 519, 21774, 7018, 267, 2604, 25116, 593, 918, 8518, 21983, 610, 711, 286, 1809, 1287, 4254, 16478, 2059, 715, 16808, 3385, 568, 4080, 269, 898, 729, 4440, 1175, 513, 1397, 540, 3196, 676, 519, 28753, 1023, 4440, 563, 2690, 13019, 8663, 267, 513, 1360, 26752, 1646, 3576, 1747, 519, 1482, 1032, 269, 19257, 534, 20961, 5747, 543, 1010, 2669, 13087, 14076, 320, 18498, 16679, 547, 3715, 5128, 693, 8738, 7315, 20580, 609, 28753, 531, 9844, 563, 4415, 1864, 4947, 547, 519, 17599, 267, 519, 2898, 2470, 540, 28753, 531, 1894, 609, 918, 8518, 21983, 23384, 513, 2596, 7004, 269, 14076, 320, 18498, 16679, 1500, 621, 10731, 569, 2312, 602, 646, 7608, 13019, 8663, 779, 6101, 936, 2000, 3581, 1222, 676, 711, 14322, 519, 2140, 540, 20961, 269, 1261, 3274, 4797, 547, 1289, 5128, 14076, 320, 269, 19627, 267, 1010, 2673, 13218, 609, 13019, 8663, 543, 519, 28753, 531, 10492, 6728, 539, 693, 5689, 11445, 1500, 1864, 513, 14353, 538, 519, 4064, 540, 13259, 24703, 333, 26196, 563, 3891, 1185, 1100, 4781, 855, 581, 593, 519, 1318, 2427, 540, 519, 28753, 1023, 676, 543, 1804, 269, 12846, 646, 729, 711, 538, 12797, 540, 598, 1027, 532, 547, 13019, 8663, 519, 1318, 547, 1780, 998, 519, 8513, 540, 918, 8518, 21983, 538, 1010, 2104, 11044, 543, 30295, 1996, 13259, 24703, 333, 26196, 610, 7137, 541, 269, 901, 2243, 2968, 1271, 538, 476, 14991, 275, 950, 519, 13259, 24703, 333, 26196, 10806, 936, 3757, 519, 10806, 540, 7137, 541, 543, 513, 1804, 1297, 540, 519, 7137, 926, 8821, 956, 945, 941, 711, 11028, 4290, 539, 547, 519, 10661, 540, 519, 715, 714, 600, 3333, 1695, 328, 1852, 936, 741, 8513, 3357, 547, 918, 8518, 21983, 609, 519, 9837, 540, 2469, 547, 519, 28753, 531, 5480, 547, 3343, 922, 948, 547, 556, 10140, 28344, 741, 4503, 8513, 269, 14076, 320, 18498, 16679, 7157, 17191, 602, 952, 891, 8821, 956, 941, 4847, 547, 8399, 547, 5689, 11445, 1107, 519, 28753, 531, 8513, 267, 713, 1131, 1711, 513, 3978, 1966, 585, 1864, 267, 607, 519, 28753, 1023, 1373, 20935, 267, 1131, 4413, 1100, 4316, 540, 3257, 1945, 547, 1208, 559, 5573, 519, 715, 714, 600, 3333, 1695, 529, 543, 519, 7662, 540, 519, 8821, 956, 540, 7137, 541, 1131, 4196, 13019, 8663, 609, 513, 840, 3667, 540, 3257, 865, 269, 1656, 952, 646, 4956, 865, 267, 972, 729, 1100, 4781, 855, 585, 519, 28753, 531, 4229, 547, 15292, 998, 918, 8518, 21983, 8513, 269, 1924, 952, 891, 8821, 956, 6603, 13019, 8663, 779, 5480, 267, 621, 729, 1360, 2693, 602, 13019, 8663, 1131, 3747, 513, 1318, 540, 8574, 799, 14076, 320, 18498, 16679, 729, 711, 5423, 547, 598, 1027, 324, 267, 855, 729, 711, 538, 513, 2990, 547, 5706, 607, 1134, 563, 13295, 519, 8821, 956, 941, 547, 581, 15286, 689, 2469, 547, 519, 28753, 531, 5480, 269, 901, 2962, 540, 14076, 320, 18498, 16679, 729, 14648, 607, 513, 20935, 2962, 543, 13019, 8663, 10288, 513, 2489, 4254, 16478, 540, 10136, 538, 476, 14991, 278, 269, 634, 4971, 729, 2016, 547, 20961, 321, 1794, 16679, 267, 8272, 321, 12112, 3333, 328, 267, 609, 519, 10294, 2832, 540, 15292, 532, 883, 1546, 764, 534, 630, 328, 4318, 1421, 918, 8518, 21983, 1299, 7137, 541, 1916, 3719, 713, 729, 1586, 5921, 711, 585, 4890, 12289, 855, 6322, 693, 1818, 930, 2186, 540, 513, 17431, 540, 4108, 1522, 607, 2944, 593, 519, 4505, 8317, 267, 538, 1931, 547, 1118, 519, 14610, 540, 918, 8518, 21983, 1689, 1010, 2949, 10182, 269, 2806, 592, 674, 1794, 331, 3081, 1310, 28069, 267, 519, 9753, 941, 20328, 543, 519, 10136, 24797, 563, 23536, 2406, 676, 519, 1397, 540, 3196, 267, 519, 19169, 540, 14076, 320, 18498, 16679, 729, 17303, 6913, 543, 519, 13253, 1063, 519, 1079, 552, 1078, 269, 898, 5526, 865, 1317, 649, 1265, 602, 538, 476, 14991, 278, 2899, 1586, 972, 8452, 606, 2377, 29983, 689, 631, 4669, 340, 5633, 715, 714, 600, 592, 25109, 330, 609, 513, 4484, 5645, 676, 1010, 26195, 1195, 267, 20613, 336, 541, 16679, 267, 4172, 3481, 538, 513, 10260, 658, 1893, 543, 10483, 676, 10475, 6799, 1519, 513, 1804, 1297, 540, 19246, 563, 10000, 11489, 476, 15647, 272, 519, 1894, 1063, 519, 28753, 1023, 543, 519, 1546, 764, 534, 941, 1100, 3476, 1360, 13029, 269, 1358, 941, 6825, 609, 7874, 15377, 267, 3226, 609, 918, 8518, 21983, 543, 13259, 24703, 333, 26196, 563, 1103, 5130, 476, 15647, 271, 267, 13019, 8663, 2366, 835, 540, 1010, 1271, 8821, 956, 267, 623, 21983, 571, 340, 16679, 267, 607, 1010, 26195, 1195, 547, 13259, 24703, 333, 26196, 269, 2806, 592, 674, 1794, 331, 3081, 602, 519, 14610, 540, 13259, 24703, 333, 26196, 945, 1185, 1831, 3592, 1202, 2033, 676, 713, 942, 543, 1185, 4625, 32585, 689, 3742, 1272, 267, 4682, 856, 540, 1010, 1259, 538, 5870, 13019, 8663, 779, 26195, 1195, 543, 2366, 1864, 1394, 609, 835, 540, 1010, 1378, 10492, 945, 267, 1586, 267, 5645, 782, 12204, 540, 6799, 269, 901, 26195, 1195, 267, 538, 476, 15647, 271, 729, 1306, 2378, 16679, 563, 5804, 476, 15647, 273, 27477, 267, 621, 4667, 13019, 8663, 4553, 513, 3609, 540, 16550, 1546, 764, 534, 2829, 267, 3226, 13259, 24703, 333, 26196, 267, 547, 3398, 28753, 531, 936, 2000, 3581, 1222, 269, 13019, 8663, 6836, 547, 3489, 1010, 6662, 998, 20320, 607, 1134, 607, 4108, 2604, 563, 9743, 766, 540, 713, 616, 519, 5022, 602, 13019, 8663, 2366, 547, 782, 519, 1546, 764, 8643, 17710, 1519, 519, 14610, 540, 13259, 24703, 333, 26196, 267, 1443, 2358, 873, 547, 3398, 1010, 936, 2000, 3581, 1222, 269, 1809, 713, 1847, 1281, 711, 2408, 547, 723, 1044, 1360, 4829, 995, 281, 769, 16253, 547, 713, 4484, 267, 782, 1546, 764, 8643, 2829, 5206, 1394, 1330, 974, 748, 5022, 11589, 7874, 27742, 585, 13019, 8663, 855, 17712, 8724, 689, 1022, 2312, 3948, 540, 10343, 540, 28753, 531, 936, 2000, 3581, 1222, 563, 5194, 2147, 2186, 540, 1847, 267, 609, 2147, 2470, 729, 13019, 8663, 779, 3375, 547, 2285, 12062, 547, 8738, 7315, 267, 519, 7820, 7015, 540, 631, 4669, 340, 5633, 715, 714, 600, 20961, 7247, 646, 1185, 1101, 29802, 543, 950, 646, 23012, 267, 1500, 8942, 547, 9004, 1864, 269, 8738, 7315, 1101, 3576, 12062, 693, 4437, 329, 777, 584, 543, 13604, 3357, 936, 547, 30899, 520, 689, 1141, 646, 8399, 539, 547, 674, 987, 20580, 31881, 686, 269, 13019, 8663, 15861, 1864, 607, 513, 15626, 543, 513, 795, 698, 597, 729, 13752, 269, 901, 729, 538, 1249, 513, 1360, 20935, 14302, 9859, 2509, 13259, 24703, 333, 26196, 14610, 543, 8612, 13019, 8663, 779, 1544, 547, 946, 8738, 7315, 607, 1010, 533, 11921, 538, 1022, 2104, 4655, 609, 631, 4669, 340, 5633, 715, 714, 600, 3333, 1695, 563, 8138, 8019, 538, 4728, 476, 15647, 276, 267, 950, 972, 729, 606, 3801, 593, 519, 851, 540, 519, 8821, 956, 540, 7137, 541, 547, 24057, 992, 519, 13259, 24703, 333, 26196, 28735, 543, 2847, 633, 519, 7137, 541, 21246, 1275, 799, 1185, 1044, 24773, 1639, 607, 513, 1267, 540, 24509, 566, 540, 7137, 541, 547, 13259, 24703, 333, 26196, 538, 476, 14991, 275, 267, 13019, 8663, 3357, 4464, 547, 8831, 5837, 1489, 543, 1570, 948, 547, 891, 8821, 956, 269, 2991, 713, 18326, 729, 16760, 676, 13259, 24703, 333, 26196, 267, 519, 8821, 956, 540, 7137, 541, 18084, 883, 918, 8518, 21983, 543, 3576, 12062, 609, 14076, 320, 18498, 16679, 269, 30272, 593, 13019, 8663, 779, 4287, 267, 14076, 320, 18498, 16679, 2366, 891, 1004, 547, 519, 28753, 531, 11662, 540, 5689, 11445, 267, 1141, 789, 941, 3177, 609, 3638, 795, 698, 15077, 585, 741, 5826, 269, 1924, 2899, 1586, 13019, 8663, 729, 3843, 547, 2628, 1394, 547, 631, 4669, 340, 5633, 715, 714, 600, 3333, 1695, 585, 1010, 20935, 2962, 540, 4758, 12062, 547, 17124, 26036, 664, 19257, 5633, 543, 849, 585, 1010, 30671, 547, 1688, 1864, 936, 547, 13019, 8663, 950, 971, 513, 3747, 729, 1500, 676, 1864, 269, 901, 2962, 540, 13019, 8663, 729, 1586, 513, 2312, 16315, 540, 513, 1880, 29383, 602, 646, 5433, 1996, 13259, 24703, 333, 26196, 8003, 543, 621, 1449, 1881, 540, 1010, 4566, 547, 1491, 4108, 3800, 585, 1139, 7675, 519, 715, 714, 600, 3333, 1695, 328, 10806, 269, 901 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 379, 16583, 30936, 26406, 354, 9463, 501, 29072, 22047, 14654, 921, 476, 23746, 23284, 25263, 510, 24662, 10524, 375, 418, 482, 493, 14748, 9463, 480, 12255, 13127, 490, 483, 418, 489, 361, 271, 14748, 9463, 480, 12255, 454, 453, 8999, 815, 476, 271, 3097, 22610, 562, 538, 2338, 912, 453, 453, 8999, 23785, 333, 454, 16596, 2040, 692, 2745, 263, 5632, 322, 273, 263, 272, 267, 273, 267, 275, 4917, 2745, 263, 5632, 322, 273, 31156, 4289, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 2639, 2745, 263, 5632, 322, 273, 28949, 4289, 272, 4297, 453, 258, 2608, 23989, 419, 353, 374, 16533, 484, 30244, 14748, 4289, 272, 18809, 19867, 478, 20069, 30317, 27381, 510, 30853, 20992, 23746, 9463, 502, 9463, 480, 12255, 25263, 510, 13213, 505, 25913, 25622, 18809, 454, 2745, 263, 5632, 322, 17338, 272, 11723, 258, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 476, 10429, 479, 18777, 372, 25263, 510, 24662, 271, 14748, 16043, 500, 10524, 375, 418, 482, 493, 14748, 9463, 480, 12255, 476, 30244, 11590, 505, 10429, 367, 421, 498, 362, 21211, 21928, 19540, 483, 421, 481, 357, 420, 485, 359, 20693, 357, 14756, 482, 420, 352, 483, 29873, 22047, 18743, 454, 3698, 1268, 28442, 267, 720, 267, 1262, 29220, 2187, 13537, 3488, 4067, 281, 3299, 4067, 10086, 720, 281, 3299, 720, 10086, 1278, 281, 3299, 29220, 2020, 2745, 9638, 3205, 3488, 329, 871, 3299, 1789, 4917, 2745, 9638, 3205, 3488, 3849, 600, 3299, 476, 3393, 267, 4008, 8782, 300, 3299, 2816, 8782, 25811, 518, 10807, 2020, 2169, 571, 815, 27835, 322, 640, 9166, 1412, 6826, 18268, 3299, 1412, 329, 984, 9166, 1412, 25811, 518, 262, 8679, 2745, 9638, 3205, 3488, 329, 871, 3299, 1789, 267, 1262, 2169, 571, 4297, 453, 258, 1262, 23989, 419, 353, 374, 418, 488, 488, 2169, 571, 30244, 14748, 18743, 17276, 487, 478, 20069, 7511, 4486, 1871, 17958, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 25263, 510, 24662, 28996, 16583, 30936, 18809, 7511, 1262, 29220, 692, 258, 417, 495, 377, 12571, 491, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 454, 3698, 1268, 273, 28442, 267, 720, 267, 24682, 322, 640, 25814, 984, 2567, 453, 258, 2608, 9463, 371, 17958, 30678, 26166, 31176, 366, 476, 18263, 489, 12571, 492, 7511, 9463, 480, 12255, 20992, 417, 495, 377, 12571, 491, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 29635, 369, 371, 28996, 29072, 30522, 494, 10254, 370, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 7511, 12571, 491, 26175, 364, 454, 13537, 28442, 267, 720, 22698, 640, 25814, 984, 2020, 17367, 273, 3488, 329, 871, 3299, 1240, 22698, 640, 8782, 2041, 18268, 3299, 329, 984, 8782, 19956, 518, 10807, 1948, 13127, 495, 377, 12571, 491, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 25520, 12916, 491, 419, 377, 362, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 7511, 25060, 374, 10254, 360, 15159, 13127, 379, 483, 421, 350, 375, 25263, 510, 24662, 9463, 480, 12255, 12571, 491, 454, 17367, 273, 3488, 329, 871, 3299, 1240, 22698, 640, 25814, 984, 264, 1948, 9463, 359, 20069, 25051, 497, 25913, 25622, 12916, 497, 31968, 7511, 417, 495, 377, 12571, 491, 10429, 367, 421, 498, 362, 21211, 9463, 480, 12255, 20069, 421, 375, 502, 18777, 353, 29219, 28793, 17276, 487, 491, 23746, 23284, 21251, 17958, 25263, 510, 24662, 454, 0, 12163, 11243, 281, 1530, 534, 9478, 454, 11742, 547, 12032, 912, 4467, 906, 1384, 306, 1545, 912, 20701, 454, 3698, 2040, 318, 3369, 2572, 10628, 26000, 1706, 730, 318, 6493, 9272, 26748, 2187, 825, 8173, 825, 570, 1389, 5569, 602, 814, 703, 338, 543, 16543, 10628, 563, 825, 9701, 2132, 519, 2040, 540, 782, 519, 703, 338, 630, 604, 972, 616, 1100, 703, 338, 267, 2132, 476, 271, 6393, 825, 7151, 946, 912, 825, 3403, 26748, 815, 834, 476, 7918, 476, 273, 567, 476, 3953, 27029, 825, 1293, 815, 2040, 318, 3369, 2572, 10628, 26000, 1706, 730, 318, 6493, 9272, 26748, 264, 1948, 1293, 1058, 581, 476, 6434, 454, 825, 8173, 825, 15358, 815, 1496, 703, 9217, 264, 585, 1775, 538, 3403, 26748, 21858, 2891, 834, 264, 952, 7003, 9217, 264, 3436, 476, 271, 9948, 3097, 825, 1267, 815, 476, 271, 454, 825, 585, 1003, 538, 15358, 912, 1038, 1267, 6834, 1003, 454, 825, 2132, 1267, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 4433, 636, 318, 3369, 2572, 10628, 26000, 1706, 730, 318, 6493, 2891, 272, 476, 476, 274, 476, 16328, 476, 27844, 567, 476, 3953, 825, 27328, 0, 258, 10750, 1257, 476, 13235, 291, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 454, 258, 29905, 1257, 667, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 27398, 692, 258, 865, 670, 21822, 302, 3587, 918, 9816, 3036, 454, 12163, 24257, 1193, 815, 834, 5723, 291, 4753, 4840, 24257, 1193, 28827, 3488, 288, 5073, 271, 454, 24257, 1193, 26098, 3488, 288, 5073, 271, 454, 20701, 3698, 2781, 553, 541, 10031, 825, 13672, 815, 1412, 5723, 7374, 9128, 21203, 296, 297, 298, 299, 300, 301, 8008, 304, 305, 4306, 10013, 310, 311, 312, 313, 7055, 825, 1193, 18425, 815, 3403, 2891, 11767, 5569, 547, 31391, 281, 19515, 825, 1948, 333, 815, 7003, 19304, 18425, 994, 825, 1193, 318, 719, 815, 1412, 7055, 825, 6521, 815, 703, 9272, 3488, 4537, 3424, 1871, 281, 1412, 11723, 825, 585, 1347, 538, 1193, 18425, 269, 21639, 10031, 1038, 1327, 815, 13672, 28827, 263, 10420, 994, 1038, 1820, 10857, 665, 267, 1347, 267, 1439, 284, 3269, 994, 1038, 1007, 9078, 665, 815, 630, 32643, 266, 3333, 3424, 264, 4939, 476, 2918, 454, 1038, 1193, 318, 719, 6834, 13672, 314, 2908, 9078, 665, 2639, 1038, 1820, 28956, 9078, 665, 267, 1193, 318, 719, 994, 825, 1820, 19304, 318, 719, 26644, 31156, 258, 576, 553, 541, 10797, 5814, 3490, 5038, 692, 3698, 1250, 10734, 848, 318, 5038, 10031, 825, 1948, 589, 19053, 476, 18092, 476, 271, 268, 1839, 454, 825, 1948, 513, 22271, 476, 18092, 476, 2918, 268, 7906, 454, 825, 8173, 825, 10822, 1363, 12354, 1232, 15279, 3097, 825, 476, 18089, 271, 476, 1822, 272, 453, 6200, 453, 4792, 453, 6078, 453, 288, 454, 825, 476, 18089, 271, 476, 9826, 271, 453, 9083, 453, 5780, 453, 5655, 453, 289, 454, 825, 476, 18089, 271, 476, 9826, 272, 453, 9818, 453, 6858, 453, 6246, 453, 290, 454, 825, 8173, 825, 1948, 9208, 12476, 5038, 7402, 5317, 454, 825, 1239, 815, 834, 29582, 11277, 256, 286, 259, 265, 261, 3890, 262, 268, 284, 287, 349, 4840, 825, 23876, 3528, 5052, 815, 3490, 5038, 12500, 5038, 523, 13892, 16597, 269, 523, 13892, 2891, 583, 325, 268, 279, 27363, 825, 23876, 18360, 815, 1193, 263, 16780, 10757, 3528, 5052, 267, 834, 583, 325, 268, 279, 5602, 825, 1820, 16597, 267, 27719, 333, 2580, 23876, 18360, 9239, 825, 1948, 9208, 12476, 5038, 5463, 5317, 454, 825, 23876, 18360, 815, 834, 320, 294, 26394, 321, 294, 279, 326, 323, 3066, 344, 321, 294, 304, 343, 300, 329, 300, 327, 13695, 304, 284, 4840, 825, 1232, 10757, 3528, 5052, 815, 3490, 5038, 12500, 5038, 1372, 13892, 263, 16780, 10757, 18360, 994, 825, 1232, 10757, 18360, 815, 1193, 263, 20657, 10757, 3528, 5052, 267, 834, 583, 325, 268, 279, 5602, 825, 1820, 263, 16780, 10757, 18360, 267, 27719, 333, 2580, 1232, 10757, 18360, 2020, 258, 3240, 10734, 848, 318, 5038, 10797, 3698, 585, 318, 31467, 10031, 825, 1257, 815, 3403, 2891, 11767, 1257, 281, 19515, 825, 1883, 815, 3403, 2891, 11767, 1883, 281, 19515, 825, 1775, 815, 476, 271, 692, 825, 585, 1347, 538, 1257, 912, 1038, 737, 815, 1883, 5157, 260, 6352, 31107, 22708, 1038, 1535, 815, 3921, 17347, 264, 9745, 3921, 263, 10420, 994, 1038, 1775, 23785, 272, 692, 1038, 1820, 6600, 262, 1103, 1347, 281, 2715, 10420, 9574, 6206, 281, 2715, 330, 9574, 2473, 3036, 281, 2715, 343, 9574, 1401, 527, 1347, 281, 2715, 577, 337, 3287, 14587, 17210, 1721, 318, 31467, 3890, 0, 5228, 6449, 325, 1956, 1029, 1104, 1820, 6958, 4233, 454, 5814, 2979, 454, 5814, 4351, 454, 258, 7052, 1262, 12218, 2305, 1599, 540, 918, 3026, 11732, 27199, 26092, 7052, 20330, 3698, 19665, 4338, 2002, 6357, 848, 267, 4812, 267, 330, 28872, 2187, 825, 3845, 17342, 2639, 825, 585, 1895, 538, 3490, 912, 1038, 585, 4183, 538, 3490, 314, 16766, 14158, 2018, 952, 533, 2525, 272, 610, 533, 2525, 273, 912, 3546, 1948, 476, 12433, 519, 3845, 952, 533, 568, 476, 272, 610, 476, 273, 454, 3546, 24607, 5091, 2700, 815, 263, 11274, 263, 15615, 6600, 324, 1155, 314, 271, 8079, 268, 15615, 263, 4812, 314, 271, 316, 4297, 1262, 15615, 9638, 264, 1341, 2612, 263, 15615, 6600, 324, 1155, 314, 272, 8079, 268, 15615, 263, 4812, 314, 272, 316, 4297, 1262, 15615, 9638, 4297, 1262, 263, 272, 270, 15615, 9638, 4917, 2018, 3116, 912, 3546, 1948, 476, 12433, 519, 3845, 952, 533, 568, 1102, 454, 3546, 24607, 5091, 2700, 815, 15615, 32384, 263, 11274, 263, 15615, 6600, 324, 1155, 314, 271, 8079, 268, 15615, 263, 4812, 314, 271, 316, 4297, 2073, 2612, 263, 15615, 6600, 324, 1155, 314, 272, 8079, 268, 15615, 263, 4812, 314, 272, 316, 4297, 4917, 2018, 1948, 589, 4015, 540, 782, 519, 9883, 7229, 454, 2018, 3845, 6910, 9230, 10048, 21908, 5091, 2700, 267, 16766, 4917, 825, 1948, 306, 15659, 9883, 689, 4130, 547, 3677, 454, 825, 1948, 4517, 1491, 519, 737, 2311, 519, 4098, 454, 825, 3845, 815, 15044, 5560, 2700, 264, 11468, 330, 2639, 825, 1948, 15575, 1018, 568, 811, 982, 519, 824, 454, 825, 936, 271, 267, 1478, 272, 815, 476, 271, 267, 271, 454, 825, 585, 546, 538, 3845, 912, 1038, 952, 546, 314, 272, 316, 568, 476, 271, 912, 2018, 936, 271, 6834, 476, 272, 454, 1038, 8640, 546, 314, 272, 316, 568, 476, 272, 912, 2018, 936, 272, 6834, 476, 272, 454, 825, 2132, 476, 271, 952, 936, 271, 285, 1478, 272, 3116, 476, 272, 454, 258, 763, 1599, 3217, 519, 1239, 543, 3257, 15932, 454, 258, 663, 17337, 519, 5044, 883, 2516, 454, 3698, 4351, 1436, 263, 8266, 2187, 825, 1948, 4351, 1592, 454, 825, 5903, 284, 12690, 4732, 2217, 263, 8266, 267, 6352, 263, 8266, 4917, 825, 2866, 267, 11687, 532, 815, 5903, 11468, 6352, 263, 8266, 264, 2260, 273, 3910, 8266, 314, 6352, 263, 8266, 264, 2260, 273, 281, 2639, 825, 5721, 815, 2715, 271, 281, 314, 3910, 272, 281, 26514, 8679, 825, 1948, 634, 1895, 585, 2866, 454, 825, 585, 1775, 538, 2866, 912, 1038, 952, 1775, 314, 272, 316, 568, 1412, 272, 12466, 2018, 5721, 314, 271, 4940, 6572, 9230, 15615, 9217, 314, 271, 25818, 15615, 9217, 314, 273, 316, 21875, 1038, 8640, 1775, 314, 272, 316, 568, 1412, 273, 12466, 2018, 5721, 314, 272, 4940, 6572, 9230, 15615, 9217, 314, 271, 25818, 15615, 9217, 314, 273, 316, 21875, 825, 1449, 815, 2715, 271, 281, 314, 3910, 272, 281, 26514, 8679, 825, 1948, 634, 1895, 585, 4152, 454, 825, 585, 1775, 538, 4152, 912, 1038, 952, 1775, 314, 272, 316, 568, 1412, 272, 12466, 2018, 1449, 314, 271, 4940, 6572, 9230, 15615, 9217, 314, 271, 25818, 15615, 9217, 314, 273, 316, 21875, 1038, 8640, 1775, 314, 272, 316, 568, 1412, 273, 12466, 2018, 1449, 314, 272, 4940, 6572, 9230, 15615, 9217, 314, 271, 25818, 15615, 9217, 314, 273, 316, 21875, 825, 2132, 5721, 267, 11687, 16963, 3698, 1292, 10031, 825, 535, 815, 1930, 2891, 18449, 318, 28694, 318, 307, 17687, 2580, 834, 337, 5602, 825, 5903, 815, 11713, 825, 585, 1775, 538, 535, 912, 1038, 5903, 6910, 9217, 21858, 31156, 825, 623, 815, 1496, 272, 267, 476, 273, 267, 1412, 8882, 23300, 825, 18317, 3036, 15305, 267, 2207, 3036, 17601, 284, 271, 267, 271, 454, 825, 1820, 2891, 11960, 265, 330, 3026, 11732, 27199, 26092, 11960, 265, 5602, 825, 1948, 6218, 519, 737, 9539, 301, 29976, 454, 825, 585, 737, 538, 2039, 263, 272, 267, 476, 1015, 267, 476, 273, 2567, 1948, 2715, 272, 267, 274, 267, 276, 267, 278, 267, 280, 8679, 1038, 1820, 2891, 23526, 737, 568, 14307, 330, 994, 1038, 585, 533, 538, 623, 281, 258, 2715, 272, 267, 273, 267, 8882, 8679, 2018, 18317, 3036, 17601, 284, 271, 454, 2018, 18317, 3036, 15305, 284, 271, 454, 2018, 585, 1775, 538, 2039, 263, 4335, 2567, 258, 21448, 454, 3546, 3490, 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 ]
[ 532, 27449, 563, 10743, 2697, 13902, 20312, 26662, 543, 7285, 269, 1280, 713, 9511, 3992, 267, 1053, 267, 4020, 543, 2697, 7285, 269, 1358, 4020, 267, 2268, 267, 543, 2697, 1899, 12415, 563, 279, 628, 910, 476, 1015, 628, 4569, 454, 31590, 4120, 910, 2405, 1014, 267, 16816, 3363, 267, 3131, 12993, 645, 529, 10725, 267, 24234, 645, 529, 10725, 454, 10743, 2697, 519, 1114, 2694, 543, 3601, 540, 513, 6906, 269, 769, 713, 9511, 3992, 1544, 267, 1053, 5173, 519, 11667, 543, 15820, 540, 513, 6906, 543, 607, 1134, 607, 2697, 519, 13902, 543, 5086, 20312, 26662, 563, 280, 628, 910, 476, 1015, 628, 4569, 454, 20524, 532, 4569, 281, 10289, 16387, 454, 7343, 569, 12166, 3601, 543, 1106, 27909, 585, 2627, 1858, 543, 4320, 676, 14335, 513, 1614, 8820, 2203, 540, 513, 2749, 269, 22996, 946, 2147, 543, 21412, 5515, 543, 14759, 547, 1711, 513, 2749, 540, 693, 2547, 476, 1015, 5656, 269, 1358, 4123, 2483, 277, 628, 910, 476, 279, 628, 4569, 18938, 281, 24623, 454, 32622, 540, 1230, 2017, 6275, 1644, 547, 26337, 8566, 8565, 14210, 454, 292, 548, 22770, 17603, 3605, 519, 3601, 540, 519, 2798, 540, 598, 2017, 6275, 540, 513, 6906, 269, 769, 713, 9511, 3992, 267, 476, 1556, 628, 17603, 946, 1957, 24208, 267, 7317, 9511, 3301, 267, 543, 4070, 547, 8495, 519, 2798, 540, 598, 2017, 6275, 269, 2422, 1862, 0, 290, 11857, 543, 17461, 454, 763, 2136, 2276, 568, 835, 540, 519, 1158, 779, 6574, 1629, 31097, 267, 609, 513, 2229, 3964, 968, 1993, 519, 1004, 267, 676, 519, 1004, 267, 585, 519, 1004, 1848, 634, 772, 2529, 269, 568, 513, 1970, 8410, 3667, 2528, 267, 799, 4025, 513, 1164, 1871, 593, 7862, 267, 14619, 267, 7115, 267, 2921, 11036, 267, 2324, 2182, 267, 543, 1373, 1463, 267, 1930, 543, 9237, 630, 298, 2129, 3149, 267, 476, 2735, 279, 1040, 1323, 9441, 540, 519, 2136, 2276, 8549, 6554, 568, 513, 968, 322, 2753, 22700, 892, 543, 621, 568, 1010, 610, 1200, 2816, 547, 27481, 519, 772, 2529, 269, 4031, 269, 13229, 2792, 568, 7533, 547, 8236, 713, 3804, 269, 1677, 2253, 609, 267, 835, 1590, 1174, 519, 2949, 2497, 540, 519, 3919, 269, 594, 786, 946, 519, 4972, 540, 13067, 14657, 8232, 1934, 607, 606, 1383, 269, 634, 4972, 568, 18188, 676, 519, 14199, 267, 799, 568, 513, 22277, 7400, 2990, 1369, 519, 10324, 7936, 269, 634, 14199, 5359, 2047, 547, 519, 5518, 540, 519, 2136, 2276, 269, 10738, 519, 4972, 267, 972, 616, 1082, 1114, 13646, 543, 8041, 267, 799, 616, 782, 1291, 676, 12912, 8387, 269, 6423, 519, 2630, 667, 9391, 10721, 5750, 585, 4704, 563, 22552, 2969, 9680, 2975, 25265, 7419, 2975, 9569, 12813, 3198, 476, 274, 454, 20751, 606, 5604, 610, 8116, 267, 606, 9441, 786, 960, 585, 513, 1880, 1016, 16327, 9426, 267, 971, 607, 513, 968, 17445, 28672, 1848, 2368, 540, 519, 1016, 16327, 7859, 616, 5258, 883, 10923, 22875, 543, 789, 723, 8795, 31707, 3889, 1369, 519, 3919, 269, 2871, 4575, 14362, 454, 2026, 24430, 1676, 1299, 2142, 15330, 630, 1001, 272, 264, 1448, 856, 267, 968, 12741, 3845, 538, 519, 2136, 2276, 568, 26483, 1507, 269, 2334, 1797, 267, 3020, 547, 513, 11180, 2486, 267, 4892, 616, 1447, 16561, 540, 16526, 538, 1379, 982, 616, 1004, 689, 4529, 609, 1164, 1379, 3845, 892, 630, 335, 269, 476, 28670, 1040, 6736, 519, 1360, 6946, 21712, 2359, 2497, 1369, 772, 2529, 269, 6554, 8041, 267, 519, 2528, 568, 1360, 13016, 269, 31740, 2232, 1142, 824, 676, 741, 1101, 4408, 267, 1519, 741, 19217, 832, 543, 9946, 269, 31740, 693, 1114, 2157, 2170, 16175, 543, 11884, 269, 3962, 8116, 1369, 519, 6554, 814, 922, 1378, 4074, 9769, 269, 1403, 606, 9441, 7959, 602, 741, 2924, 723, 1044, 26991, 610, 602, 2359, 814, 13684, 4507, 602, 616, 15490, 267, 519, 9441, 666, 3758, 513, 20494, 9330, 609, 519, 9769, 269, 968, 10112, 1068, 4369, 568, 2938, 607, 513, 2318, 1871, 267, 543, 519, 8561, 593, 7682, 4369, 8711, 1367, 2924, 936, 13800, 547, 2516, 543, 2486, 892, 630, 309, 541, 1676, 1299, 2142, 15330, 267, 476, 1001, 272, 267, 533, 269, 476, 28803, 1040, 1717, 267, 2359, 27422, 711, 547, 723, 547, 11737, 3433, 513, 20494, 9330, 267, 543, 7512, 606, 9441, 547, 5639, 741, 8369, 543, 20286, 538, 513, 811, 13016, 6073, 1101, 269, 9442, 4643, 454, 32715, 4315, 786, 2170, 609, 2818, 540, 741, 3919, 1169, 1554, 269, 2368, 5520, 7119, 538, 519, 7658, 1740, 1982, 267, 799, 2636, 873, 547, 960, 689, 1753, 269, 1358, 946, 513, 2229, 268, 1170, 4240, 15291, 543, 15146, 547, 5968, 609, 519, 5604, 269, 1717, 267, 519, 5354, 540, 5520, 960, 538, 519, 2199, 5604, 269, 3509, 8041, 949, 723, 513, 6640, 5870, 547, 2232, 31031, 2969, 9680, 2975, 25265, 7419, 2975, 9569, 12813, 3198, 476, 275, 454, 1415, 1880, 4145, 610, 2152, 543, 1287, 5520, 16425, 2253, 7900, 741, 3232, 960, 11645, 269, 1403, 606, 9441, 2115, 6351, 267, 646, 610, 1352, 786, 2307, 513, 32283, 518, 610, 9120, 269, 1403, 621, 568, 6296, 543, 1875, 268, 4026, 550, 267, 835, 786, 6494, 606, 552, 17733, 269, 1403, 621, 568, 513, 811, 10296, 3390, 267, 621, 568, 3339, 547, 1289, 609, 513, 2656, 2243, 610, 547, 22545, 593, 2576, 779, 7450, 543, 1865, 519, 3390, 609, 873, 538, 1268, 269, 17859, 540, 519, 3510, 267, 621, 568, 16122, 547, 3343, 6351, 538, 1931, 547, 1118, 519, 2953, 8990, 1759, 593, 1699, 1876, 543, 3609, 269, 1306, 513, 968, 4777, 532, 892, 2528, 267, 4892, 968, 339, 754, 547, 581, 811, 10462, 8584, 2091, 892, 543, 968, 1598, 633, 547, 2149, 2933, 689, 519, 7164, 892, 630, 309, 541, 1676, 1299, 2142, 15330, 267, 476, 1001, 272, 267, 533, 269, 476, 12893, 1040, 898, 568, 585, 713, 2601, 602, 519, 772, 2529, 269, 6554, 814, 7453, 3652, 3823, 1739, 1697, 5773, 543, 10873, 269, 2290, 540, 891, 568, 20170, 547, 519, 5832, 540, 4971, 269, 1403, 606, 9441, 16858, 547, 5968, 609, 513, 2362, 4759, 540, 2359, 267, 789, 616, 10950, 547, 798, 865, 269, 1717, 267, 789, 1058, 6494, 741, 19359, 998, 519, 1697, 9055, 267, 5329, 741, 5832, 540, 4971, 1862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4607, 1239, 689, 519, 2661, 8613, 13739, 540, 519, 21011, 476, 1556, 7599, 13941, 593, 5147, 476, 736, 267, 476, 3422, 280, 269, 1280, 519, 2616, 2218, 781, 3621, 10781, 936, 922, 476, 2412, 1296, 540, 6228, 267, 519, 8241, 16340, 26511, 15278, 1572, 621, 834, 1492, 1034, 3811, 3621, 6293, 2479, 3710, 538, 5245, 8487, 763, 5244, 525, 25076, 568, 7307, 676, 519, 2817, 5948, 585, 11660, 543, 11930, 3194, 267, 799, 568, 851, 540, 519, 8241, 2817, 23571, 25076, 269, 1677, 4019, 16600, 17489, 1532, 553, 5202, 5925, 31785, 5852, 267, 519, 5244, 525, 5925, 16263, 568, 1419, 9250, 609, 824, 595, 10485, 4629, 5925, 24985, 267, 519, 8241, 3281, 716, 2142, 600, 23571, 781, 476, 2420, 332, 8670, 2282, 23902, 4599, 686, 543, 519, 2582, 476, 2420, 332, 631, 641, 571, 8670, 693, 595, 3019, 629, 541, 629, 3757, 563, 303, 10225, 25076, 6250, 3218, 4741, 454, 763, 20088, 25076, 6250, 3218, 4741, 2636, 4896, 5461, 547, 1294, 519, 834, 323, 880, 257, 8095, 269, 634, 14266, 2934, 15225, 593, 519, 1686, 540, 24985, 267, 17651, 267, 2230, 2257, 543, 513, 476, 274, 291, 21576, 563, 1103, 476, 3422, 272, 267, 519, 1374, 540, 519, 5244, 525, 5925, 16263, 267, 11827, 676, 11977, 14332, 523, 267, 2212, 540, 519, 10237, 2684, 12695, 8047, 693, 595, 10485, 4629, 267, 729, 6192, 269, 4438, 2622, 2782, 4083, 267, 14332, 523, 5249, 593, 519, 1646, 540, 16986, 538, 519, 2136, 2276, 543, 1500, 3730, 29872, 1734, 538, 519, 3621, 2146, 269, 6250, 1746, 2025, 29872, 1734, 267, 646, 18617, 1079, 26988, 3906, 910, 519, 31257, 7690, 543, 519, 18842, 651, 325, 11839, 7690, 910, 547, 13384, 528, 3368, 540, 519, 1942, 540, 519, 16263, 269, 13536, 267, 621, 729, 713, 948, 543, 2883, 1489, 689, 519, 7330, 602, 18617, 8241, 11788, 10579, 7917, 9093, 345, 625, 547, 3858, 547, 8804, 851, 540, 519, 1788, 563, 763, 8241, 4659, 540, 7177, 814, 10294, 519, 5244, 525, 5925, 16263, 513, 2817, 7177, 8092, 5658, 563, 763, 1292, 11287, 3926, 568, 513, 476, 5038, 2173, 2678, 630, 13975, 20356, 264, 15914, 834, 323, 880, 257, 540, 519, 16263, 267, 519, 2034, 4102, 538, 519, 7013, 21571, 543, 835, 540, 519, 1101, 1804, 15914, 834, 4134, 1127, 257, 538, 519, 1158, 630, 514, 476, 2735, 278, 267, 519, 8006, 540, 519, 667, 9169, 268, 6246, 19215, 267, 602, 568, 267, 519, 13216, 540, 519, 10787, 6611, 9442, 1412, 15062, 538, 2052, 828, 571, 593, 519, 6316, 540, 519, 570, 573, 16535, 15944, 12126, 0, 290, 20975, 540, 7981, 9314, 454, 6245, 271, 910, 476, 6245, 276, 454, 301, 710, 268, 1105, 16749, 19274, 611, 10631, 936, 5757, 267, 18584, 476, 6245, 273, 314, 286, 22049, 8118, 476, 6245, 275, 269, 1849, 2216, 267, 476, 4350, 275, 269, 1234, 641, 2989, 267, 476, 4350, 277, 269, 1849, 2216, 267, 476, 4350, 278, 269, 3767, 771, 4310, 269, 3487, 524, 872, 704, 268, 610, 17488, 344, 2275, 2642, 512, 3089, 11329, 14229, 22486, 4224, 5185, 14680, 6821, 1298, 1042, 593, 512, 3089, 11329, 14229, 22486, 4224, 5185, 14680, 10599, 1229, 533, 4536, 609, 8749, 1196, 3022, 4224, 5185, 2759, 29438, 9693, 5569, 322, 12973, 5885, 1612, 777, 1115, 2348, 8749, 1196, 3022, 4224, 5185, 2759, 29438, 9693, 12003, 269, 10022, 540, 8370, 10126, 531, 30617, 609, 8749, 1196, 3022, 4224, 5185, 14680, 11849, 24882, 642, 748, 810, 15077, 1298, 1042, 593, 8749, 1196, 3022, 4224, 5185, 2759, 29438, 9693, 1883, 18429, 269, 590, 1243, 17364, 4639, 1636, 610, 2961, 992, 321, 1122, 5211, 609, 3574, 539, 8492, 547, 5757, 563, 2304, 11141, 19274, 611, 10631, 25517, 547, 513, 1374, 11911, 547, 5261, 645, 1551, 15838, 630, 9264, 276, 268, 4817, 264, 540, 7799, 15104, 630, 294, 746, 476, 1960, 279, 267, 476, 13136, 268, 272, 264, 4922, 9833, 607, 513, 3226, 1271, 5057, 540, 519, 3735, 13524, 10601, 3540, 4702, 6561, 540, 4639, 1636, 593, 2272, 540, 519, 4296, 609, 519, 10137, 540, 519, 25832, 25032, 540, 519, 11068, 1633, 4279, 5375, 24020, 630, 300, 294, 29949, 264, 1899, 630, 641, 2989, 476, 6245, 275, 264, 676, 519, 11068, 1633, 4279, 5375, 24020, 630, 300, 294, 29949, 264, 7577, 609, 519, 11265, 1871, 540, 519, 5888, 267, 835, 11291, 532, 519, 4207, 19274, 611, 10631, 693, 1715, 1636, 630, 5408, 476, 24374, 24699, 1240, 1070, 9672, 711, 1152, 676, 519, 4224, 5185, 2627, 9096, 11744, 1434, 2298, 960, 26206, 267, 855, 849, 676, 519, 17715, 834, 338, 933, 788, 257, 540, 519, 30617, 1818, 513, 10565, 3308, 3948, 693, 513, 15385, 936, 519, 4639, 1636, 610, 2961, 992, 321, 1122, 5211, 269, 0, 272, 269, 271, 12655, 1646, 454, 763, 1523, 540, 4264, 1646, 6591, 7839, 6284, 1739, 519, 8313, 538, 476, 2735, 278, 540, 519, 25362, 526, 339, 1633, 7797, 13886, 1412, 5978, 5871, 8892, 8339, 898, 568, 519, 1867, 540, 519, 2622, 8189, 593, 5113, 543, 4886, 267, 669, 8529, 676, 11427, 269, 23108, 31222, 25362, 526, 339, 1633, 269, 1306, 519, 1867, 12662, 621, 1412, 14549, 640, 814, 519, 2702, 547, 1118, 1646, 4264, 910, 547, 2327, 602, 621, 10742, 519, 2115, 540, 519, 1459, 1510, 18731, 519, 2702, 540, 2104, 5481, 547, 2743, 741, 1378, 2115, 25692, 306, 20980, 1646, 10522, 519, 1688, 532, 1524, 547, 20422, 5481, 711, 1152, 519, 812, 13402, 5763, 855, 849, 540, 2067, 5763, 630, 3697, 3037, 267, 1216, 267, 2371, 543, 2831, 264, 538, 6190, 5666, 547, 1450, 513, 11173, 6454, 538, 519, 2298, 540, 1272, 563, 24916, 267, 4264, 1646, 729, 519, 1292, 6249, 540, 513, 2101, 2136, 8315, 10554, 4371, 538, 21586, 632, 13191, 10098, 267, 8478, 538, 476, 1960, 273, 269, 634, 3047, 27169, 267, 607, 621, 729, 17941, 538, 519, 2923, 267, 8947, 519, 1533, 540, 519, 1604, 269, 634, 30896, 4857, 2994, 585, 2962, 547, 4308, 609, 2825, 2152, 538, 519, 1646, 540, 782, 2477, 563, 7468, 1550, 8176, 814, 1767, 267, 1412, 2171, 2219, 519, 1158, 20705, 547, 721, 269, 3767, 649, 616, 4098, 547, 8275, 649, 4866, 547, 519, 1158, 269, 1284, 616, 3743, 547, 621, 543, 547, 1142, 824, 25692, 4913, 267, 24758, 4264, 1646, 883, 2259, 267, 3340, 513, 9488, 1620, 540, 519, 1950, 2078, 1063, 1004, 267, 2200, 267, 519, 1604, 543, 1646, 268, 513, 4161, 585, 1412, 300, 4768, 823, 594, 548, 667, 9092, 23823, 273, 269, 271, 24381, 823, 594, 548, 667, 9092, 1788, 267, 1018, 568, 621, 888, 300, 4768, 823, 594, 548, 667, 9092, 568, 513, 1523, 799, 814, 1044, 4547, 547, 519, 1929, 601, 697, 1360, 5063, 543, 519, 2165, 1412, 300, 4768, 823, 594, 548, 667, 9092, 257, 729, 1101, 22579, 676, 4515, 11835, 601, 632, 14472, 333, 599, 267, 7981, 5917, 16014, 540, 519, 11788, 10579, 267, 945, 849, 5713, 607, 9666, 518, 693, 519, 25737, 964, 7070, 1696, 632, 700, 262, 8114, 560, 4471, 540, 5487, 966, 559, 30592, 267, 8303, 269, 634, 1788, 729, 9250, 593, 519, 476, 280, 628, 5147, 476, 1220, 279, 676, 519, 12968, 22789, 3220, 269, 26512, 918, 553, 523, 958, 693, 14076, 643, 19413, 3163, 10418, 267, 13852, 22810, 269, 1635, 22745, 519, 24381, 823, 594, 548, 667, 9092, 1788, 267, 24381, 527, 3780, 814, 24389, 593, 513, 3460, 2509, 4264, 1646, 269, 634, 1788, 814, 513, 1279, 688, 592, 6662, 543, 11912, 2066, 865, 1082, 9922, 1519, 519, 9235, 5823, 269, 1717, 267, 6940, 711, 1152, 3322, 2825, 4027, 855, 568, 849, 513, 1797, 547, 2087, 938, 2804, 2208, 543, 4027, 540, 8739, 2686, 20249, 269, 21094, 1373, 835, 540, 519, 10256, 540, 519, 4346, 621, 568, 25401, 4397, 602, 519, 12080, 540, 21094, 1058, 581, 3238, 538, 519, 7341, 7282, 519, 1788, 269, 634, 1788, 1185, 513, 6578, 540, 827, 476, 5325, 6634, 9489, 585, 519, 1974, 5147, 476, 1220, 279, 547, 4873, 476, 1220, 280, 563, 274, 269, 271, 6301, 6859, 540, 24381, 823, 594, 548, 667, 9092, 912, 763, 9030, 2832, 540, 519, 1788, 568, 547, 1118, 24381, 527, 3780, 3592, 4830, 593, 1875, 3146, 2908, 762, 2959, 540, 1648, 1775, 4318, 269, 8093, 10173, 269, 4935, 267, 513, 3077, 540, 476, 4792, 260, 13190, 814, 1044, 1305, 543, 621, 568, 4397, 602, 676, 519, 1032, 476, 1708, 279, 713, 2832, 786, 6707, 581, 6913, 269, 5047, 267, 519, 1788, 6663, 693, 513, 12366, 1242, 13345, 540, 3039, 1648, 610, 7791, 2959, 540, 1648, 543, 547, 1118, 513, 811, 3608, 946, 540, 1648, 538, 2489, 269, 4515, 11835, 601, 632, 14472, 333, 599, 814, 6069, 547, 1118, 946, 540, 13947, 267, 6915, 268, 996, 12935, 267, 1979, 30757, 267, 476, 3374, 260, 3859, 1648, 267, 476, 1428, 260, 2842, 1648, 267, 476, 277, 260, 8652, 267, 476, 274, 260, 524, 4094, 3130, 543, 476, 274, 260, 1648, 689, 6329, 547, 3035, 519, 1305, 3077, 269, 634, 1788, 849, 2882, 519, 4259, 909, 540, 606, 19889, 6261, 1046, 543, 519, 3919, 540, 513, 1158, 8733, 8468, 269, 0, 300, 644, 25658, 9571, 538, 7936, 540, 30080, 590, 762, 5211, 454, 763, 1715, 10215, 16095, 2879, 841, 267, 513, 13542, 727, 12362, 2249, 267, 814, 7902, 538, 12309, 779, 24654, 7297, 585, 519, 1101, 942, 538, 513, 3226, 6213, 1858, 563, 288, 11001, 689, 9835, 9503, 3557, 9571, 519, 4527, 540, 519, 6263, 25658, 538, 519, 7532, 7936, 540, 519, 30080, 590, 762, 5211, 2443, 513, 5757, 1634, 547, 2709, 930, 540, 519, 1655, 29607, 10068, 538, 519, 2136, 2276, 269, 769, 2127, 1141, 519, 16095, 25658, 616, 2111, 547, 1491, 3180, 267, 789, 666, 2014, 27290, 20214, 538, 519, 5521, 2551, 543, 1764, 519, 1426, 5832, 540, 606, 5117, 563, 6124, 10215, 16095, 25658, 5828, 909, 538, 12309, 2063, 1032, 2282, 25930, 7773, 538, 519, 28828, 3057, 638, 8291, 5211, 563, 2108, 5445, 616, 3362, 16487, 543, 14388, 267, 543, 666, 7639, 538, 14927, 5054, 585, 909, 547, 476, 2918, 2395, 2223, 7150, 12309, 4972, 540, 7025, 10866, 8387, 538, 513, 2046, 5305, 269, 968, 8489, 3964, 267, 891, 25658, 666, 20441, 519, 4420, 1682, 540, 8933, 543, 12535, 543, 8858, 12362, 7907, 267, 856, 16327, 7566, 543, 8420, 5217, 2890, 514, 591, 974, 18093, 602, 616, 4105, 607, 1426, 2959, 585, 1082, 3165, 2249, 563, 24685, 1840, 267, 891, 12362, 25658, 723, 1100, 9422, 1871, 585, 3165, 3034, 13750, 8387, 616, 3001, 3533, 547, 13599, 519, 1857, 593, 3268, 547, 1491, 547, 948, 3247, 519, 3262, 540, 1715, 10215, 16095, 25658, 538, 12309, 269, 8409, 3268, 1331, 912, 16123, 510, 667, 1778, 2661, 19401, 267, 21536, 2471, 543, 782, 1216, 689, 16996, 1310, 2534, 563, 16123, 510, 11162, 267, 8963, 543, 3819, 782, 3937, 2443, 1519, 530, 8172, 25192, 2443, 1354, 6028, 513, 1560, 540, 1216, 563, 16123, 510, 11162, 16996, 543, 3937, 609, 3905, 1216, 543, 29809, 6926, 778, 543, 1450, 873, 547, 3819, 585, 693, 2547, 2947, 2395, 269, 0, 14722, 693, 519, 3794, 611, 7723, 4659, 540, 22870, 14347, 543, 16332, 1108, 630, 294, 4353, 296, 264, 543, 519, 2160, 540, 4993, 267, 5842, 12770, 630, 308, 5425, 293, 264, 723, 1336, 602, 3797, 666, 581, 1031, 547, 12954, 519, 2504, 540, 968, 307, 892, 2281, 538, 4079, 609, 7486, 3968, 563, 295, 4353, 2068, 30001, 570, 16052, 338, 267, 3056, 547, 12900, 540, 519, 4761, 1062, 543, 4049, 3968, 269, 634, 555, 2096, 639, 14189, 267, 799, 7472, 570, 16052, 338, 267, 7930, 19380, 1599, 936, 942, 543, 3587, 6140, 29680, 1282, 15296, 269, 5221, 519, 555, 2096, 639, 14189, 1281, 711, 1599, 1134, 538, 4079, 267, 621, 568, 2352, 585, 7486, 29795, 539, 4079, 547, 1118, 1007, 570, 16052, 338, 269, 26935, 625, 602, 12954, 519, 555, 2096, 639, 547, 3132, 1007, 570, 16052, 338, 1223, 948, 7486, 29795, 539, 2550, 547, 25580, 741, 2377, 3430, 1194, 4761, 1949, 563, 7212, 621, 814, 1044, 1279, 10924, 602, 519, 555, 2096, 639, 3112, 581, 2746, 17300, 538, 3425, 267, 1382, 3370, 538, 519, 4728, 3390, 540, 519, 4750, 540, 11916, 27148, 267, 2982, 602, 519, 555, 2096, 639, 666, 581, 25623, 547, 3132, 811, 570, 16052, 338, 269, 901, 1353, 568, 519, 1101, 547, 1397, 602, 14278, 11043, 11257, 666, 581, 1031, 547, 3986, 1480, 555, 2096, 545, 1599, 563, 17780, 593, 9621, 3662, 2090, 11021, 602, 2208, 9449, 630, 21203, 264, 10597, 555, 2096, 545, 1599, 538, 9907, 8983, 267, 3794, 611, 7723, 543, 772, 5425, 293, 22602, 5342, 513, 17053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29096, 3890, 952, 586, 9131, 335, 16211, 11172, 2639, 28744, 9638, 16211, 994, 2745, 12759, 9638, 16211, 11723, 258, 1692, 1082, 18161, 296, 779, 941, 972, 2698, 888, 335, 16211, 26748, 815, 1412, 907, 270, 325, 1400, 318, 2889, 915, 9706, 16211, 5332, 1868, 17902, 7055, 335, 16211, 5332, 1868, 815, 1930, 9638, 16211, 26748, 267, 834, 337, 5602, 325, 337, 815, 1093, 328, 5332, 1868, 18667, 6050, 4590, 28744, 6600, 337, 994, 2745, 12759, 6600, 337, 314, 273, 281, 28413, 335, 16211, 5332, 1868, 25379, 10797, 258, 1432, 568, 519, 2698, 1871, 540, 519, 6006, 10362, 547, 6276, 623, 1370, 823, 888, 2745, 263, 523, 1258, 12774, 9131, 11266, 28718, 4753, 808, 4456, 2464, 262, 7481, 2745, 263, 523, 1258, 12774, 9131, 4596, 299, 310, 21822, 654, 2464, 4041, 312, 262, 7481, 2745, 263, 523, 1258, 12774, 9131, 306, 298, 21135, 5058, 808, 9128, 293, 3918, 312, 918, 11172, 2020, 258, 1692, 1454, 2724, 1705, 602, 1268, 1205, 888, 12849, 815, 18358, 306, 298, 21135, 5058, 808, 9128, 293, 3918, 312, 918, 3299, 1412, 293, 17129, 8582, 6730, 3918, 310, 590, 3299, 1412, 6369, 312, 918, 2894, 301, 24518, 700, 23300, 12849, 7272, 599, 906, 815, 2715, 4067, 281, 523, 1258, 12774, 314, 4067, 6012, 262, 20135, 7272, 599, 906, 11172, 585, 2012, 538, 4408, 8679, 2745, 630, 338, 9285, 3799, 1868, 7272, 599, 906, 29096, 19572, 1883, 284, 14433, 1535, 281, 1535, 314, 272, 3910, 9258, 18989, 11723, 258, 1692, 1082, 11570, 538, 713, 10471, 723, 513, 3067, 1881, 14057, 286, 1548, 827, 513, 1634, 4757, 2232, 888, 5814, 21795, 607, 19073, 454, 4206, 815, 19073, 6185, 1092, 20988, 263, 523, 1258, 12774, 994, 28744, 29254, 994, 2745, 4433, 636, 29254, 7456, 665, 9131, 15680, 776, 3299, 281, 316, 256, 8782, 27845, 301, 29125, 2745, 4433, 636, 29254, 7456, 665, 9131, 16942, 318, 5417, 816, 3299, 281, 316, 11203, 1412, 27845, 301, 10807, 2020, 0, 258, 3213, 1231, 692, 5814, 4351, 692, 339, 1845, 815, 476, 271, 454, 339, 5661, 815, 476, 271, 454, 324, 14410, 815, 476, 271, 692, 6112, 13290, 11203, 476, 1911, 912, 825, 13290, 6834, 476, 272, 454, 825, 2427, 815, 4351, 27110, 263, 272, 267, 476, 273, 2020, 825, 952, 2427, 2652, 476, 272, 912, 1038, 23914, 6834, 476, 272, 454, 825, 3116, 912, 1038, 21217, 6834, 476, 272, 692, 2745, 2891, 292, 14410, 281, 14307, 23914, 994, 2745, 2891, 307, 5661, 281, 14307, 21217, 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 ]
[ 6449, 4163, 8206, 318, 476, 271, 912, 2018, 1427, 18502, 907, 263, 8364, 787, 2020, 1038, 678, 907, 1427, 692, 825, 31233, 1039, 8217, 476, 32102, 454, 1038, 8173, 1038, 1039, 32102, 540, 5569, 454, 1038, 2433, 12407, 32102, 912, 1038, 2433, 8873, 912, 1038, 8173, 1038, 521, 580, 476, 271, 454, 1038, 1427, 1496, 271, 2639, 1038, 31233, 967, 267, 1130, 6449, 552, 907, 263, 331, 560, 454, 2018, 31233, 1775, 6449, 1535, 907, 263, 338, 580, 1130, 269, 328, 907, 476, 271, 267, 476, 271, 264, 476, 1948, 2009, 632, 4302, 454, 2018, 1427, 1039, 263, 4958, 267, 1130, 994, 2018, 521, 580, 6834, 476, 272, 454, 1038, 678, 907, 1427, 692, 825, 31233, 1039, 476, 1003, 272, 267, 1003, 273, 454, 1038, 8173, 1038, 2433, 12407, 1003, 272, 281, 1592, 540, 9704, 538, 9258, 1931, 454, 1038, 2433, 12407, 1003, 273, 281, 1592, 540, 9704, 538, 9258, 1931, 454, 1038, 2433, 8873, 281, 1592, 540, 9704, 538, 9258, 1931, 454, 1038, 29185, 1038, 6449, 561, 907, 263, 11133, 272, 264, 3436, 561, 907, 263, 11133, 273, 454, 2018, 678, 907, 1039, 16325, 273, 267, 1003, 272, 2020, 1038, 1427, 825, 1948, 1592, 454, 1038, 4163, 476, 271, 454, 1038, 31233, 7329, 343, 6449, 1535, 907, 263, 331, 907, 263, 11133, 273, 281, 476, 1948, 3476, 835, 454, 2018, 6449, 29390, 3546, 1159, 1003, 272, 314, 30915, 316, 1341, 1003, 273, 314, 30915, 316, 1341, 4163, 454, 2018, 30269, 594, 10756, 3546, 1159, 1003, 273, 314, 30915, 316, 1341, 4163, 692, 2018, 4163, 1159, 270, 1015, 454, 2018, 1427, 18502, 907, 263, 8243, 4939, 476, 1015, 2020, 1038, 6449, 4163, 8206, 318, 476, 271, 912, 2018, 1427, 18502, 907, 263, 8364, 787, 2020, 1038, 678, 907, 1427, 7531, 1029, 12223, 13090, 6449, 12223, 13090, 454, 825, 3070, 8827, 4590, 825, 3267, 1496, 272, 267, 476, 273, 316, 6449, 3070, 14491, 8443, 273, 267, 476, 272, 3910, 1496, 280, 7481, 825, 3267, 521, 907, 263, 11277, 265, 15886, 264, 6449, 3070, 6230, 738, 17586, 2891, 11277, 2580, 834, 15886, 5602, 825, 3267, 521, 907, 263, 271, 264, 6449, 3070, 6230, 738, 17586, 2891, 271, 2580, 834, 271, 5602, 825, 3267, 521, 907, 263, 11277, 265, 27174, 264, 6449, 3070, 6230, 738, 17586, 2891, 11277, 2580, 834, 27174, 5602, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 454, 322, 907, 8827, 522, 10756, 825, 31233, 1205, 305, 578, 476, 4737, 19340, 454, 1038, 8173, 1038, 2433, 6943, 4737, 19340, 281, 703, 454, 1038, 2433, 337, 6943, 281, 5903, 27776, 2639, 1038, 8173, 1038, 4737, 19340, 6834, 476, 272, 454, 1038, 4737, 5332, 4548, 815, 1496, 271, 31233, 1775, 6449, 678, 907, 263, 992, 19340, 22708, 1038, 4737, 5332, 4548, 314, 271, 316, 815, 476, 272, 454, 1038, 1948, 2422, 519, 2022, 851, 540, 840, 4737, 547, 9337, 519, 1699, 4737, 563, 1038, 31233, 1775, 6449, 678, 907, 263, 272, 267, 4737, 19340, 454, 2018, 15340, 18045, 815, 630, 328, 266, 272, 8358, 273, 825, 1948, 634, 15340, 3693, 781, 2338, 454, 2018, 31233, 795, 6449, 678, 907, 263, 1910, 7825, 4479, 18045, 454, 3546, 1003, 815, 4737, 5332, 4548, 5157, 268, 272, 18191, 2639, 3546, 6449, 1775, 3436, 795, 268, 272, 13843, 476, 271, 912, 7386, 1003, 6834, 4737, 5332, 4548, 5157, 18191, 2639, 3546, 4737, 5332, 4548, 14728, 316, 815, 1003, 454, 2018, 1948, 5192, 519, 4571, 1003, 538, 9642, 9343, 454, 2018, 6449, 630, 328, 266, 272, 264, 4939, 476, 273, 11203, 476, 271, 912, 3546, 4737, 5332, 4548, 314, 1910, 7825, 4479, 18045, 316, 815, 476, 273, 2608, 4737, 5332, 4548, 5157, 270, 273, 2639, 3546, 15340, 18045, 6834, 476, 272, 454, 2018, 1948, 22352, 519, 2022, 630, 1910, 7825, 4479, 264, 851, 540, 1699, 4737, 454, 2018, 31233, 737, 6449, 678, 907, 263, 1910, 7825, 4479, 18045, 267, 1775, 266, 272, 454, 3546, 4737, 5332, 4548, 25208, 316, 815, 4737, 5332, 4548, 5157, 10275, 2639, 1038, 678, 318, 4737, 5332, 4548, 692, 12163, 271, 454, 274, 454, 279, 454, 12163, 0, 258, 1948, 962, 1752, 532, 543, 9198, 2209, 454, 258, 1948, 1711, 1219, 10945, 630, 338, 550, 514, 601, 264, 10778, 258, 1948, 1510, 5470, 454, 16482, 258, 31233, 10945, 2366, 514, 601, 454, 258, 672, 1775, 9041, 476, 271, 454, 258, 672, 530, 13090, 570, 29390, 258, 1363, 6449, 7790, 2999, 15017, 258, 17264, 586, 13090, 7790, 1262, 273, 454, 258, 17264, 7790, 1341, 318, 476, 272, 1948, 4063, 875, 649, 666, 1213, 5443, 564, 2878, 12898, 1262, 519, 6556, 454, 258, 1363, 12223, 454, 258, 17264, 678, 318, 1412, 718, 2944, 256, 7055, 16482, 258, 1003, 454, 258, 31233, 7790, 6449, 7790, 476, 276, 454, 258, 672, 1820, 15017, 16482, 258, 1948, 962, 1752, 532, 543, 9198, 2209, 454, 258, 1948, 454, 258, 1948, 1924, 1631, 1577, 781, 1294, 875, 649, 1223, 556, 2914, 1679, 938, 3355, 27353, 1383, 912, 16482, 258, 1104, 2979, 454, 258, 1948, 1775, 454, 258, 31233, 27353, 338, 562, 454, 258, 672, 31233, 7790, 6449, 986, 1029, 15017, 258, 1363, 586, 13090, 12103, 1029, 269, 325, 659, 1862, 15017, 16482, 258, 1948, 1003, 454, 258, 31233, 7790, 6449, 535, 907, 476, 276, 454, 258, 672, 1820, 15017, 16482, 258, 5013, 9041, 7790, 476, 276, 454, 258, 15073, 907, 15017, 258, 15073, 907, 15017, 258, 683, 907, 7790, 476, 1948, 5470, 454, 16482, 258, 1948, 10435, 606, 594, 614, 762, 689, 513, 31098, 454, 258, 1948, 1306, 649, 1631, 917, 267, 18402, 616, 12055, 2209, 563, 258, 1948, 901, 1797, 602, 789, 1831, 25356, 910, 865, 3006, 649, 1616, 547, 1711, 606, 12055, 762, 3079, 563, 258, 1948, 1809, 267, 13483, 729, 606, 12055, 1807, 910, 865, 1631, 621, 781, 1044, 25356, 912, 258, 1948, 1677, 1964, 691, 519, 21767, 649, 723, 547, 1711, 513, 1007, 3236, 540, 519, 11718, 476, 12055, 1807, 10778, 16482, 258, 1948, 1775, 454, 258, 31233, 10945, 318, 2102, 562, 454, 258, 672, 31233, 7790, 6449, 986, 1862, 15017, 258, 1363, 586, 13090, 7790, 2878, 476, 273, 454, 16482, 258, 13483, 9041, 7790, 476, 276, 454, 16482, 258, 1948, 1003, 454, 258, 31233, 7790, 6449, 15017, 258, 672, 1820, 15017, 16482, 258, 683, 907, 15017, 16482, 258, 13483, 9041, 7790, 476, 276, 454, 258, 7790, 31233, 7790, 6449, 7790, 567, 1948, 1592, 8223, 454, 16482, 258, 1948, 9198, 2209, 1031, 609, 824, 9198, 2209, 454, 258, 1948, 3767, 26246, 568, 27823, 267, 865, 13483, 1185, 711, 267, 693, 713, 1448, 267, 1044, 10057, 912, 258, 1948, 4595, 649, 723, 10057, 1079, 2609, 689, 13483, 267, 950, 649, 1631, 946, 26246, 621, 786, 723, 1079, 1447, 2609, 689, 13483, 912, 16482, 258, 1948, 1775, 454, 258, 31233, 10945, 562, 454, 258, 672, 31233, 7790, 6449, 986, 1862, 15017, 258, 1363, 586, 13090, 7790, 2878, 476, 273, 454, 16482, 258, 13483, 9041, 7790, 476, 276, 454, 258, 21773, 5334, 336, 9041, 679, 1862, 15017, 16482, 258, 683, 907, 13483, 454, 258, 683, 907, 13483, 454, 16482, 258, 683, 907, 21773, 5334, 336, 454, 16482, 258, 1948, 31098, 25285, 454, 258, 1948, 31962, 875, 15073, 907, 2649, 687, 5249, 912, 258, 1948, 1284, 666, 3362, 1711, 513, 11718, 676, 1210, 825, 24324, 3079, 540, 519, 32582, 23049, 912, 258, 1948, 8074, 602, 575, 568, 513, 11718, 267, 543, 568, 849, 22178, 1176, 11117, 912, 16482, 258, 1948, 1775, 454, 258, 561, 9041, 476, 7790, 2878, 476, 273, 31233, 7790, 6449, 986, 1862, 476, 276, 476, 1948, 1592, 8223, 454, 258, 561, 454, 258, 1948, 634, 4082, 3330, 519, 32582, 23049, 568, 1572, 513, 8223, 4082, 563, 16482, 258, 575, 9041, 476, 7790, 2878, 476, 273, 31233, 7790, 6449, 986, 1862, 476, 276, 476, 1948, 8223, 4082, 454, 16482, 258, 1119, 907, 15017, 16482, 258, 6221, 454, 258, 31233, 7790, 6449, 15017, 258, 672, 1820, 15017, 16482, 258, 1948, 31098, 25285, 454, 258, 1948, 454, 258, 1948, 1284, 666, 621, 4733, 936, 519, 1482, 15073, 907, 8223, 2789, 2053, 267, 2094, 621, 568, 606, 12055, 762, 563, 258, 1948, 1717, 267, 649, 666, 1152, 621, 4733, 936, 513, 8223, 4082, 2899, 267, 2094, 621, 568, 606, 12055, 1807, 563, 16482, 258, 1948, 1775, 454, 258, 561, 9041, 7790, 2608, 476, 273, 31233, 7790, 6449, 986, 1862, 476, 276, 476, 1948, 1592, 8223, 454, 258, 1119, 907, 15017, 16482, 258, 575, 9041, 476, 7790, 2878, 476, 273, 31233, 7790, 6449, 986, 1862, 476, 276, 476, 1948, 8223, 4082, 454, 258, 1119, 907, 7790, 0, 258, 256, 1315, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 454, 5035, 8827, 24998, 2187, 825, 1219, 19005, 2414, 4504, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 6698, 318, 15759, 518, 815, 2715, 257, 296, 9899, 476, 272, 267, 834, 309, 9899, 476, 276, 267, 834, 311, 9899, 476, 1015, 267, 834, 299, 9899, 476, 2004, 2676, 4449, 19930, 834, 290, 9899, 476, 1911, 267, 834, 291, 9899, 476, 4335, 267, 834, 300, 9899, 476, 1911, 271, 2676, 4449, 19930, 834, 4353, 9899, 476, 275, 267, 834, 21197, 9899, 476, 280, 267, 834, 311, 299, 9899, 476, 2412, 267, 834, 311, 290, 9899, 476, 3445, 2676, 4449, 19930, 834, 7374, 9899, 476, 6110, 267, 834, 13967, 9899, 476, 12010, 454, 4449, 19930, 7684, 454, 1038, 3259, 815, 7003, 4433, 994, 1038, 8870, 815, 476, 271, 454, 1038, 568, 27879, 815, 8771, 454, 1038, 585, 1775, 538, 2039, 10857, 2654, 2187, 2018, 1948, 16265, 847, 633, 10035, 946, 713, 3090, 454, 2018, 952, 568, 27879, 912, 3546, 568, 27879, 815, 8771, 454, 3546, 3136, 454, 2018, 1948, 3807, 1039, 519, 8870, 454, 2018, 952, 521, 5157, 316, 538, 6698, 318, 15759, 518, 543, 521, 5157, 281, 328, 1341, 476, 273, 316, 711, 538, 6698, 318, 15759, 518, 912, 3546, 8870, 815, 8870, 1341, 6698, 318, 15759, 518, 314, 338, 5157, 27663, 3546, 568, 27879, 815, 8771, 454, 3546, 3136, 692, 2018, 1948, 16265, 847, 633, 10035, 568, 1031, 607, 5205, 563, 2018, 952, 521, 5157, 281, 328, 1341, 476, 273, 316, 538, 6698, 318, 15759, 518, 912, 3546, 8870, 815, 8870, 1341, 6698, 318, 15759, 518, 314, 338, 5157, 281, 328, 1341, 476, 273, 27663, 3546, 568, 27879, 815, 6936, 692, 1038, 2132, 8870, 692, 12163, 257, 17584, 18958, 296, 4840, 257, 7374, 13967, 4840, 12163 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25227, 4414, 9061, 267, 543, 519, 3864, 8189, 781, 5274, 9107, 22707, 543, 6406, 10466, 8257, 630, 4488, 9816, 1916, 7021, 519, 2250, 1614, 3275, 267, 476, 275, 267, 1220, 10820, 723, 4607, 6666, 19132, 267, 1034, 540, 873, 3842, 513, 1257, 5048, 563, 257, 4263, 1101, 267, 649, 4769, 1406, 917, 1018, 5985, 2724, 729, 269, 1879, 519, 1257, 5048, 827, 519, 6666, 9886, 8452, 267, 649, 1131, 804, 8553, 519, 6049, 17401, 269, 1284, 941, 18901, 649, 8910, 6749, 519, 6049, 267, 543, 1945, 1131, 4755, 547, 519, 5048, 2223, 5975, 1084, 320, 590, 8811, 14075, 3415, 2033, 21523, 806, 267, 607, 1200, 30256, 14902, 269, 834, 3086, 649, 917, 1018, 568, 2469, 593, 267, 543, 649, 2356, 979, 543, 1205, 519, 9886, 519, 1360, 1985, 1554, 3034, 4415, 741, 2123, 590, 8379, 3556, 267, 519, 23700, 540, 519, 6666, 9886, 666, 3409, 741, 9886, 2901, 689, 519, 5604, 540, 519, 2199, 6049, 11346, 267, 24211, 301, 267, 610, 689, 513, 4414, 9061, 3892, 8998, 563, 6097, 547, 513, 5619, 5342, 676, 519, 645, 7469, 531, 8932, 4210, 1794, 559, 663, 4414, 9061, 5980, 267, 476, 9834, 829, 1298, 540, 23700, 946, 519, 6666, 9886, 547, 4444, 1426, 563, 20442, 7948, 1406, 2030, 4376, 713, 4005, 9731, 763, 10980, 568, 23698, 593, 1346, 945, 1185, 513, 2352, 942, 1256, 1354, 519, 10980, 269, 769, 4210, 1794, 559, 663, 267, 476, 2918, 829, 1298, 540, 519, 2937, 2551, 568, 7783, 609, 7486, 610, 15978, 563, 301, 16223, 3151, 874, 850, 631, 25632, 18553, 267, 476, 4281, 267, 568, 835, 540, 519, 6666, 9886, 23700, 269, 2353, 540, 1200, 1453, 723, 5747, 540, 15978, 269, 2701, 1631, 30128, 585, 1200, 4557, 6264, 18244, 267, 782, 540, 7247, 616, 1153, 27070, 269, 834, 2005, 814, 1044, 1768, 1026, 569, 3819, 713, 1032, 269, 1284, 7948, 1406, 2030, 4376, 713, 4005, 2223, 715, 16223, 3151, 874, 850, 631, 25632, 18553, 3081, 269, 834, 763, 1453, 723, 2944, 930, 7622, 26050, 585, 519, 30256, 547, 1205, 513, 2370, 1426, 607, 513, 8007, 269, 6969, 519, 6666, 9886, 267, 649, 1185, 1100, 824, 1259, 540, 3478, 998, 713, 3034, 4415, 519, 9886, 540, 5111, 476, 3451, 18230, 21473, 14369, 267, 1352, 1207, 903, 513, 476, 1428, 10275, 559, 6945, 9126, 540, 7594, 773, 268, 22596, 267, 519, 11315, 8970, 7912, 4122, 13881, 538, 4210, 1794, 559, 663, 267, 607, 1134, 607, 10365, 267, 12277, 543, 12853, 563, 20442, 616, 1360, 18507, 585, 519, 9886, 9731, 289, 7469, 531, 8932, 4210, 1794, 559, 663, 4414, 9061, 5980, 267, 25227, 4414, 9061 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 529, 538, 24063, 563, 763, 10664, 540, 713, 1858, 568, 1527, 2224, 543, 30508, 1317, 540, 519, 2479, 12656, 341, 8172, 6531, 3382, 267, 799, 3771, 26092, 546, 3402, 532, 544, 1235, 543, 4764, 563, 1607, 25812, 17038, 18090, 16714, 568, 930, 540, 519, 1034, 3810, 6594, 7762, 1415, 593, 519, 11782, 540, 4000, 1317, 540, 922, 8795, 2249, 543, 10664, 26797, 607, 835, 6172, 2125, 2362, 909, 519, 19589, 563, 3201, 4916, 5508, 589, 15709, 32177, 3509, 540, 891, 10239, 267, 1572, 834, 1492, 32595, 540, 4000, 2437, 2270, 1164, 7823, 30961, 12647, 267, 543, 1896, 723, 22260, 693, 741, 19589, 563, 4322, 22260, 723, 5063, 1044, 519, 4099, 540, 1896, 2090, 1317, 540, 741, 4028, 2557, 540, 7771, 543, 4145, 936, 519, 2530, 540, 6777, 593, 519, 7823, 19589, 563, 4322, 2090, 723, 3254, 602, 930, 540, 519, 22260, 723, 973, 17660, 936, 476, 272, 267, 1822, 10264, 630, 4968, 544, 264, 538, 519, 2250, 8717, 4805, 563, 5445, 849, 9472, 539, 602, 693, 519, 1459, 2557, 540, 2518, 8337, 267, 782, 540, 519, 22260, 540, 519, 681, 17703, 20044, 528, 529, 1223, 581, 24268, 4625, 676, 476, 1708, 276, 563, 4322, 10239, 941, 4646, 538, 519, 7262, 3148, 540, 519, 4279, 681, 3424, 9503, 1063, 476, 2412, 543, 476, 1015, 2929, 1296, 3516, 267, 950, 519, 12933, 540, 519, 7532, 3979, 29415, 3323, 593, 513, 13337, 532, 1184, 563, 1607, 814, 3144, 1747, 1360, 7444, 267, 1152, 28935, 513, 1032, 267, 547, 1106, 891, 6777, 2275, 11474, 20337, 658, 10239, 563, 305, 17703, 20044, 9461, 267, 7429, 824, 4478, 2127, 267, 568, 1875, 14179, 4754, 545, 563, 4322, 10239, 616, 28550, 1532, 6674, 267, 609, 14869, 8188, 593, 519, 7262, 678, 3424, 543, 8425, 2401, 19527, 4881, 7532, 563, 2691, 891, 10239, 21266, 1540, 909, 856, 540, 519, 23617, 540, 4000, 267, 789, 5645, 609, 873, 519, 23009, 2216, 15027, 4224, 609, 799, 789, 941, 4646, 563, 268, 4024, 621, 581, 2009, 585, 14666, 547, 1569, 519, 1034, 13243, 779, 13411, 4609, 888, 257, 21691, 823, 568, 12145, 519, 1569, 3564, 519, 28183, 6821, 540, 519, 6196, 4975, 1813, 547, 519, 1739, 804, 10449, 1063, 5840, 529, 543, 13114, 29562, 563, 16729, 519, 8009, 538, 799, 513, 24752, 814, 7166, 1079, 1004, 593, 519, 8265, 538, 13243, 543, 1010, 7015, 814, 588, 629, 5523, 519, 18303, 21717, 519, 2527, 909, 5142, 902, 723, 13175, 269, 9861, 12922, 540, 519, 804, 10449, 1063, 5840, 529, 543, 13114, 29562, 7128, 814, 1500, 513, 3375, 602, 1152, 2199, 7264, 616, 4847, 547, 3643, 519, 6196, 4975, 269, 901, 849, 4016, 547, 519, 14666, 1152, 952, 789, 18423, 538, 519, 20730, 4092, 538, 519, 2025, 851, 540, 519, 2749, 563, 8448, 14666, 530, 5109, 547, 4283, 519, 6196, 4975, 786, 711, 581, 2111, 547, 3643, 621, 269, 1656, 713, 568, 519, 1747, 1141, 519, 1292, 10513, 2244, 4609, 616, 4092, 281, 519, 11454, 968, 1993, 519, 10513, 9484, 592, 7815, 5608, 519, 654, 9430, 9931, 267, 519, 966, 807, 26541, 528, 6242, 267, 519, 13022, 12818, 540, 6424, 609, 922, 9754, 540, 2749, 1686, 267, 5880, 19470, 685, 8265, 267, 519, 13527, 6778, 609, 519, 1325, 5025, 336, 21542, 11344, 1673, 15701, 9923, 4302, 269, 634, 8128, 1867, 602, 621, 568, 2693, 602, 14182, 3025, 786, 581, 20888, 547, 4283, 4799, 268, 16848, 786, 723, 922, 1378, 968, 20112, 523, 23580, 7536, 28494, 3019, 519, 8258, 539, 4663, 568, 547, 1831, 2139, 585, 14666, 269, 634, 3209, 1399, 3893, 513, 2241, 2012, 540, 968, 294, 8681, 2389, 712, 5608, 799, 11613, 31426, 547, 1018, 14666, 616, 2469, 547, 1294, 1282, 519, 4663, 543, 786, 581, 2111, 547, 1205, 547, 917, 609, 782, 2197, 9235, 12478, 1247, 10707, 563, 1607, 4663, 2882, 7823, 19482, 267, 8666, 13515, 693, 31858, 25271, 4025, 267, 9683, 20648, 20375, 543, 6870, 2127, 607, 1134, 607, 7823, 10596, 543, 16358, 1242, 12647, 543, 849, 2749, 19150, 269, 1411, 786, 711, 6336, 519, 4316, 547, 3643, 25611, 267, 513, 2749, 799, 568, 4583, 607, 519, 1655, 3018, 15134, 2749, 593, 519, 11782, 267, 543, 596, 786, 849, 3643, 519, 2749, 540, 2098, 584, 747, 267, 799, 568, 835, 519, 4025, 609, 4195, 2011, 538, 2342, 269, 634, 8653, 540, 519, 4663, 568, 1869, 513, 5728, 282, 2705, 267, 621, 568, 2907, 1634, 602, 519, 3259, 540, 519, 8905, 786, 8831, 909, 547, 476, 272, 267, 4335, 5998, 269, 834, 0, 314, 14630, 2776, 341, 6012, 14630, 8921, 6012, 1320, 1348, 2776, 341, 6012, 1320, 1348, 8921, 6012, 14630, 12039, 6012, 1320, 1348, 12039, 6012, 20428, 12039, 6012, 12041, 12039, 2639, 3725, 281, 1548, 2731, 5949, 476, 4792, 8575, 3516, 630, 2254, 513, 24983, 994, 7617, 568, 1767, 547, 723, 5949, 6634, 540, 1296, 645, 9128, 16800, 519, 918, 307, 2680, 563, 763, 835, 2520, 6048, 945, 3081, 713, 4667, 547, 723, 15763, 513, 1906, 1271, 454, 628, 902, 269, 6145, 267, 585, 1383, 267, 519, 6323, 540, 28188, 5250, 563, 3086, 594, 917, 519, 3355, 2450, 7447, 585, 519, 932, 1460, 592, 889, 4224, 729, 454, 11039, 1862, 621, 729, 2219, 547, 723, 1044, 1063, 476, 1015, 543, 476, 736, 5998, 2066, 267, 543, 1631, 519, 454, 32173, 1155, 1871, 568, 476, 1321, 5998, 267, 1318, 888, 8117, 602, 1869, 1131, 723, 19774, 513, 700, 5588, 811, 454, 4248, 982, 519, 2487, 6676, 3350, 1705, 563, 17764, 9811, 269, 6423, 519, 2063, 4845, 540, 454, 300, 1389, 596, 1745, 3983, 585, 519, 7188, 657, 593, 519, 5101, 5032, 540, 519, 454, 25567, 553, 1299, 4639, 5032, 540, 2342, 12458, 325, 878, 320, 2676, 8253, 1152, 269, 634, 12144, 729, 1930, 547, 519, 7414, 1862, 7132, 519, 5375, 25181, 454, 5353, 12537, 1869, 11478, 267, 2348, 922, 5087, 5032, 827, 538, 519, 1747, 540, 2221, 781, 454, 763, 5767, 734, 17742, 10237, 908, 689, 556, 268, 550, 1359, 454, 324, 915, 320, 734, 325, 5661, 547, 2491, 6177, 6668, 563, 9827, 14543, 547, 2491, 30385, 2639, 3383, 1018, 269, 898, 3884, 1405, 899, 519, 1764, 3812, 9041, 333, 5847, 855, 318, 602, 5982, 454, 296, 1745, 594, 1058, 849, 4063, 602, 621, 4667, 547, 803, 602, 519, 1152, 454, 16341, 6343, 1804, 1532, 617, 1221, 15000, 941, 4411, 15918, 797, 539, 6262, 10635, 617, 3796, 267, 16015, 2676, 338, 333, 1389, 264, 543, 16142, 269, 1656, 649, 917, 602, 25438, 3796, 1299, 15315, 666, 7639, 593, 454, 332, 1276, 1447, 1426, 982, 3636, 15918, 797, 539, 7068, 267, 4189, 607, 2370, 607, 2899, 513, 454, 24629, 314, 528, 1256, 1032, 14073, 1607, 568, 519, 1837, 7778, 585, 1946, 789, 15068, 563, 763, 1152, 11864, 693, 602, 942, 941, 1360, 1507, 543, 454, 520, 2547, 1034, 540, 873, 941, 5827, 540, 3276, 8089, 267, 1318, 888, 7197, 610, 782, 3100, 547, 723, 1044, 269, 3509, 11864, 1705, 5884, 856, 267, 2705, 563, 4517, 772, 849, 723, 547, 4137, 538, 519, 631, 5803, 548, 6490, 2041, 2676, 6518, 814, 1044, 6592, 909, 547, 2487, 2053, 6902, 264, 0, 28036, 19103, 568, 513, 1455, 2564, 2783, 28815, 676, 1312, 1453, 543, 4079, 269, 634, 3207, 17966, 618, 568, 835, 3364, 602, 1281, 711, 5806, 3729, 4008, 2085, 610, 5198, 269, 1358, 1860, 519, 2025, 543, 849, 519, 1762, 7567, 269, 2755, 6738, 5725, 786, 1491, 2629, 3800, 2933, 543, 616, 5923, 518, 267, 621, 568, 519, 1453, 945, 991, 1880, 3007, 269, 12619, 19103, 538, 1453, 568, 513, 1713, 6161, 543, 1590, 581, 3053, 730, 5612, 547, 1577, 3214, 2661, 741, 6689, 2395, 4628, 563, 2252, 707, 1126, 5170, 547, 581, 6029, 6786, 540, 4965, 20158, 25015, 267, 952, 646, 779, 1044, 8572, 547, 2628, 3007, 547, 3527, 2469, 593, 1472, 1864, 267, 952, 646, 779, 1044, 1360, 20935, 25015, 610, 952, 646, 779, 1044, 13110, 11179, 5063, 282, 621, 1223, 581, 4191, 519, 1126, 568, 4299, 676, 3207, 19103, 563, 288, 4819, 945, 23119, 689, 3207, 19103, 568, 6353, 676, 4057, 5834, 538, 1554, 547, 1554, 4247, 269, 1261, 4991, 8886, 730, 3362, 282, 7164, 547, 519, 1126, 267, 519, 1126, 849, 23119, 689, 4965, 543, 2566, 269, 1261, 610, 1352, 10953, 7099, 23638, 543, 1010, 1315, 1200, 7180, 3587, 5409, 5562, 269, 3962, 835, 540, 891, 616, 3361, 1813, 547, 13385, 1697, 3207, 1282, 519, 3781, 563, 763, 6574, 543, 5923, 652, 1935, 547, 4308, 609, 1453, 543, 19103, 1131, 581, 547, 979, 547, 519, 10629, 269, 634, 4387, 786, 2932, 20241, 547, 1101, 13182, 711, 610, 2436, 519, 1126, 568, 10010, 609, 3207, 19103, 269, 634, 4387, 786, 4363, 519, 6574, 2126, 585, 519, 4819, 267, 952, 646, 779, 3413, 21719, 676, 519, 4524, 602, 568, 12008, 563, 2414, 2327, 513, 2635, 2168, 543, 2790, 1646, 585, 3214, 543, 547, 798, 2476, 609, 782, 891, 267, 621, 5963, 568, 5923, 652, 547, 1491, 873, 547, 513, 4387, 950, 519, 4819, 2982, 4191, 540, 3207, 19103, 269, 0, 763, 476, 11740, 24266, 5784, 602, 4682, 2661, 13628, 538, 5616, 781, 9335, 7348, 4786, 4781, 2899, 941, 11603, 7361, 585, 986, 1123, 338, 945, 941, 18822, 2614, 547, 4604, 513, 4357, 7552, 998, 519, 6552, 666, 27267, 267, 610, 1346, 8348, 547, 2628, 2462, 536, 15085, 547, 6330, 922, 3043, 4248, 22850, 1749, 563, 11386, 1788, 1291, 10127, 514, 570, 5060, 523, 5174, 9116, 2006, 13922, 519, 2592, 13599, 519, 1857, 827, 519, 772, 2529, 269, 1216, 3118, 602, 1977, 23117, 7396, 607, 519, 1034, 13155, 538, 476, 1001, 274, 1813, 547, 10980, 543, 936, 2224, 563, 14071, 4126, 713, 26182, 13588, 547, 1491, 606, 3742, 1719, 538, 8497, 621, 2223, 1352, 1767, 563, 293, 3985, 8387, 543, 2825, 1235, 723, 1044, 9870, 32302, 5063, 827, 3747, 856, 560, 686, 6137, 3761, 593, 519, 5757, 7674, 930, 476, 2412, 2929, 1004, 538, 5722, 5375, 2829, 563, 763, 11052, 5616, 9676, 689, 2274, 525, 12113, 787, 5045, 540, 8525, 547, 13428, 576, 12113, 787, 2982, 4191, 540, 10980, 538, 513, 8602, 30344, 8258, 1472, 8235, 28927, 267, 543, 519, 5222, 540, 546, 2459, 532, 519, 5757, 563, 17606, 781, 1175, 513, 3407, 25135, 14653, 538, 942, 540, 1018, 519, 5757, 568, 899, 1318, 1631, 2223, 1767, 25138, 918, 3426, 540, 1977, 23117, 563, 11386, 1031, 1079, 887, 3553, 5052, 540, 12514, 15841, 593, 1079, 986, 30835, 547, 7001, 519, 11052, 538, 4864, 543, 1287, 588, 17097, 621, 1927, 269, 634, 12284, 540, 5176, 476, 736, 1004, 267, 1519, 10274, 267, 6170, 5216, 6140, 13566, 2395, 593, 519, 5757, 267, 855, 3893, 546, 27221, 676, 4764, 1079, 540, 1346, 2395, 563, 763, 2754, 1767, 519, 5757, 5784, 616, 519, 1101, 621, 814, 3370, 593, 9335, 7348, 689, 519, 2136, 2276, 269, 769, 476, 1001, 272, 267, 5616, 15841, 922, 9335, 7348, 2468, 651, 593, 513, 10935, 543, 4682, 909, 519, 21586, 27740, 267, 513, 29815, 776, 540, 519, 8835, 267, 570, 5060, 523, 5174, 9116, 2006, 1767, 563, 763, 2754, 849, 814, 1031, 7903, 7047, 338, 543, 6777, 332, 24213, 547, 4786, 4025, 1141, 6472, 3112, 2951, 269, 769, 3735, 476, 1001, 273, 267, 5616, 25528, 519, 1034, 2442, 19482, 18162, 693, 519, 9835, 24258, 1210, 12514, 15841, 585, 519, 1101, 942, 593, 513, 30618, 269, 8409, 31858, 25271, 5784, 941, 5950, 538, 2038, 476, 1001, 274, 563, 2690, 986, 1123, 338, 593, 519, 12548, 5211, 267, 15143, 666, 1942, 9170, 689, 1896, 4627, 9489, 547, 1269, 274, 267, 1822, 513, 1268, 267, 4470, 593, 519, 3259, 543, 2436, 789, 616, 4357, 610, 5010, 15143, 269, 9835, 24258, 2817, 5244, 7182, 519, 1297, 540, 1004, 945, 666, 979, 593, 1582, 28621, 3660, 15143, 998, 513, 3810, 8013, 13169, 1062, 543, 814, 606, 5993, 1698, 593, 519, 1297, 540, 5010, 267, 5179, 1242, 15143, 563, 3080, 540, 519, 1101, 1919, 5691, 8436, 1522, 5469, 568, 519, 1121, 582, 8864, 540, 519, 666, 27267, 1141, 986, 1123, 338, 6108, 942, 10188, 3043, 4248, 22850, 1749, 267, 19482, 2427, 666, 344, 976, 267, 2879, 6260, 6337, 540, 1216, 17517, 543, 13155, 2249, 267, 543, 5260, 1681, 519, 1151, 3363, 269, 898, 781, 513, 1747, 1141, 1591, 10746, 1810, 1405, 960, 543, 986, 1123, 338, 3640, 1152, 1018, 789, 991, 269, 0, 2005, 568, 5355, 267, 519, 1895, 3081, 267, 855, 2484, 1932, 7444, 269, 1215, 1279, 786, 621, 1491, 547, 2312, 519, 2011, 693, 713, 2557, 286, 6168, 476, 10695, 1296, 267, 519, 11614, 7681, 1767, 2063, 3018, 267, 844, 7627, 7194, 689, 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 ]
[ 1018, 1142, 666, 798, 585, 519, 32149, 2146, 269, 2353, 5858, 3157, 616, 513, 14804, 2230, 267, 543, 649, 4465, 1406, 1865, 1018, 4523, 2429, 519, 1184, 609, 4896, 3544, 540, 519, 5858, 2796, 267, 1256, 952, 513, 1184, 13289, 689, 835, 6828, 547, 1776, 563, 2026, 540, 5181, 476, 1708, 272, 267, 519, 10163, 20753, 10456, 29663, 3112, 1491, 593, 7170, 26577, 2665, 267, 543, 649, 4363, 2921, 8320, 540, 2800, 5473, 4638, 6057, 543, 13817, 2265, 547, 15562, 22664, 269, 0, 763, 3670, 2418, 540, 11505, 616, 3972, 267, 2463, 267, 19969, 267, 1489, 267, 8296, 267, 543, 14017, 563, 307, 6412, 568, 1898, 538, 513, 2078, 282, 1510, 621, 267, 972, 666, 581, 1100, 5748, 540, 11505, 269, 21727, 568, 849, 1883, 282, 8156, 1142, 824, 609, 11587, 543, 1620, 10114, 999, 519, 11505, 269, 1323, 9237, 2078, 568, 1759, 593, 22371, 543, 519, 2702, 547, 581, 5168, 995, 547, 835, 1776, 563, 23804, 2576, 945, 786, 581, 972, 538, 2053, 540, 991, 18791, 519, 6125, 540, 11505, 267, 1818, 1489, 606, 1271, 30361, 269, 3281, 6842, 585, 835, 1776, 568, 4105, 547, 1620, 543, 2208, 1369, 519, 2078, 563, 7661, 267, 782, 1434, 17052, 616, 3710, 593, 14017, 267, 2348, 5132, 538, 543, 7555, 676, 1142, 824, 2097, 1018, 949, 563, 1692, 568, 11505, 513, 4295, 1871, 888, 293, 12188, 1222, 568, 513, 4295, 1871, 1317, 621, 568, 835, 540, 519, 1034, 1271, 3344, 540, 1272, 269, 11109, 6209, 543, 11215, 3347, 609, 1866, 2488, 721, 609, 4313, 267, 3354, 267, 2648, 267, 543, 1082, 824, 2640, 563, 21413, 891, 3347, 267, 938, 2729, 666, 3668, 6209, 4296, 543, 2833, 602, 666, 581, 11212, 14785, 563, 293, 12188, 1683, 721, 609, 3929, 1489, 267, 5583, 267, 543, 4030, 883, 938, 2729, 543, 2833, 269, 1358, 666, 2709, 721, 513, 1114, 5133, 543, 948, 721, 1831, 1732, 267, 811, 24009, 2043, 269, 14886, 616, 849, 1419, 513, 1390, 2707, 540, 9913, 543, 666, 948, 721, 2736, 856, 540, 938, 4948, 13467, 563, 293, 12188, 1222, 4249, 513, 1883, 1909, 538, 938, 2949, 1072, 543, 8171, 269, 5525, 723, 3254, 602, 1346, 945, 1106, 543, 2226, 6209, 3347, 609, 1866, 4043, 547, 581, 18668, 267, 811, 14388, 267, 543, 1447, 2693, 547, 1995, 4965, 543, 4160, 563, 31714, 945, 616, 4448, 547, 6209, 3347, 616, 849, 811, 2693, 547, 9772, 8902, 5615, 267, 971, 607, 16706, 5781, 543, 4189, 4333, 13124, 563, 293, 12188, 1222, 568, 513, 4295, 1871, 1317, 621, 6770, 1898, 7772, 543, 2495, 547, 938, 2729, 269, 11109, 6209, 3347, 609, 1346, 945, 1416, 827, 721, 543, 945, 649, 1416, 827, 666, 948, 721, 1745, 4448, 547, 519, 1158, 543, 519, 1004, 1472, 721, 563, 16352, 1569, 547, 891, 11215, 3347, 666, 581, 513, 1390, 2707, 540, 4313, 543, 4222, 1282, 2352, 2053, 563, 1432, 616, 476, 276, 7907, 596, 1589, 513, 3659, 1058, 723, 888, 288, 3659, 1058, 723, 519, 1739, 2947, 7907, 912, 272, 269, 27919, 281, 14886, 1058, 581, 2111, 547, 26003, 1125, 609, 1142, 824, 950, 2901, 540, 873, 568, 2469, 998, 513, 2352, 3510, 269, 27919, 666, 1291, 547, 3152, 1620, 267, 3152, 4276, 267, 543, 8994, 1489, 563, 273, 269, 21727, 281, 14886, 1058, 2141, 2463, 1142, 824, 267, 1100, 2339, 1018, 269, 21727, 2882, 8156, 1142, 824, 609, 11587, 267, 7156, 267, 543, 14619, 282, 1256, 538, 2053, 540, 24895, 563, 274, 269, 12968, 17965, 281, 14886, 1058, 581, 9237, 609, 1142, 824, 267, 1256, 950, 621, 779, 13943, 269, 901, 5932, 513, 2922, 543, 3972, 532, 1604, 1063, 2828, 543, 2636, 873, 547, 2911, 25473, 543, 16175, 547, 1142, 824, 563, 275, 269, 700, 5819, 1399, 281, 14886, 1058, 581, 10121, 547, 1142, 824, 543, 1796, 676, 1142, 824, 779, 2427, 950, 621, 6927, 269, 700, 5819, 1399, 13976, 3972, 267, 5932, 6617, 267, 543, 24115, 2471, 1004, 689, 3257, 610, 6031, 4376, 547, 10413, 835, 1776, 563, 276, 269, 26930, 281, 14886, 1058, 581, 3743, 585, 741, 3527, 543, 1174, 602, 741, 1913, 543, 3527, 723, 606, 1764, 593, 741, 2078, 269, 901, 7512, 1142, 3659, 547, 1491, 5539, 585, 519, 1072, 540, 519, 2078, 543, 6023, 621, 609, 1416, 563, 1432, 616, 476, 1911, 4162, 888, 1692, 1131, 596, 4766, 513, 1483, 3659, 888, 288, 1483, 3659, 568, 2576, 945, 568, 972, 585, 596, 538, 1312, 519, 1434, 543, 3983, 2053, 267, 945, 5963, 30128, 827, 596, 543, 707, 8171, 267, 543, 945, 814, 707, 1394, 1100, 2339, 1018, 269, 1358, 786, 2141, 581, 9237, 609, 596, 267, 1256, 952, 519, 5168, 949, 581, 2182, 547, 5873, 563, 5445, 616, 2576, 596, 666, 11207, 581, 3054, 1472, 267, 1510, 4250, 540, 27790, 269, 589, 1483, 3659, 786, 2760, 2322, 596, 1524, 267, 855, 3079, 12740, 596, 909, 950, 596, 2461, 4743, 1970, 269, 1358, 3580, 581, 676, 707, 2427, 998, 782, 540, 1272, 779, 9035, 543, 581, 519, 1101, 835, 547, 8661, 707, 18517, 563, 5445, 4465, 1406, 14897, 950, 2053, 1205, 9157, 855, 3079, 581, 519, 835, 547, 1832, 596, 2469, 269, 589, 1483, 3659, 568, 2576, 596, 666, 3972, 4625, 267, 2576, 596, 666, 2141, 7048, 593, 267, 543, 2576, 945, 786, 2141, 2648, 596, 563, 1432, 2306, 513, 1434, 3659, 2687, 547, 519, 6426, 888, 6097, 547, 519, 6426, 267, 972, 616, 1896, 4162, 540, 513, 1434, 3659, 912, 272, 269, 700, 5819, 1399, 281, 1160, 18690, 476, 1704, 281, 1704, 6645, 721, 267, 968, 288, 3659, 14560, 693, 782, 2053, 1848, 589, 1434, 3659, 568, 835, 945, 6763, 676, 596, 1100, 2339, 1018, 563, 273, 269, 12968, 17965, 281, 1160, 18690, 476, 1321, 281, 1704, 3081, 267, 968, 3891, 945, 14753, 5168, 6645, 1018, 568, 1318, 267, 1809, 513, 7301, 7198, 267, 6013, 1848, 589, 1434, 3659, 786, 581, 9237, 827, 945, 596, 616, 543, 1018, 596, 798, 267, 1256, 950, 621, 3085, 1406, 4196, 1010, 610, 1200, 1378, 4690, 563, 274, 269, 1133, 935, 6463, 2648, 281, 634, 6426, 12981, 721, 547, 968, 331, 913, 707, 7023, 607, 3054, 892, 630, 299, 5271, 12792, 639, 476, 866, 281, 1240, 1040, 589, 1434, 3659, 786, 2648, 596, 267, 711, 1759, 593, 1018, 596, 723, 267, 1018, 596, 798, 267, 610, 1018, 596, 1413, 899, 267, 855, 3274, 1317, 596, 616, 2696, 779, 11537, 5137, 563, 275, 269, 11559, 618, 281, 1160, 18690, 476, 2767, 281, 1704, 3081, 267, 968, 2026, 4401, 8325, 839, 4401, 267, 865, 835, 1268, 8325, 839, 1776, 1848, 589, 1434, 3659, 7512, 596, 547, 581, 543, 798, 707, 1655, 267, 543, 13976, 596, 909, 609, 2318, 1913, 267, 1489, 267, 543, 5583, 563, 276, 269, 8682, 16531, 281, 8895, 520, 2103, 476, 277, 281, 273, 6645, 721, 267, 968, 10111, 787, 1142, 824, 779, 24675, 267, 543, 538, 713, 1259, 596, 786, 11886, 519, 1876, 540, 2441, 1848, 589, 1434, 3659, 12662, 707, 2115, 1354, 741, 1378, 267, 27531, 741, 942, 543, 2200, 547, 948, 596, 1510, 24584, 4376, 538, 2132, 269, 0, 306, 7428, 645, 2393, 17563, 568, 606, 13055, 10084, 5943, 602, 13071, 922, 3755, 2328, 13055, 10084, 3156, 269, 1635, 1210, 11354, 645, 2393, 267, 3755, 666, 18849, 560, 1905, 610, 3533, 1376, 909, 513, 2241, 11354, 3498, 269, 3763, 619, 666, 1628, 1950, 3156, 609, 11354, 645, 2393, 3533, 269, 898, 779, 513, 11354, 9074, 602, 6663, 547, 14458, 1210, 519, 11354, 645, 2393, 17563, 585, 10084, 1646, 563, 11101, 267, 11354, 645, 2393, 17563, 2488, 519, 4183, 540, 2324, 18161, 297, 11675, 543, 2488, 21341, 24409, 267, 589, 8008, 267, 631, 31357, 267, 8232, 267, 645, 2255, 267, 543, 4578, 269, 1284, 666, 2161, 602, 519, 11354, 645, 2393, 5943, 568, 1141, 3755, 666, 3035, 1022, 1870, 3483, 267, 543, 519, 1655, 851, 540, 519, 11354, 17563, 666, 11753, 609, 824, 10850, 267, 971, 607, 670, 756, 1716, 622, 543, 5899, 7491, 269, 11354, 645, 2393, 5943, 3947, 513, 2504, 268, 2819, 3498, 267, 865, 282, 972, 568, 1100, 991, 547, 798, 1022, 12122, 563, 23322, 2524, 540, 11354, 645, 2393, 17563, 454, 268, 11354, 645, 2393, 568, 6644, 730, 282, 621, 2306, 1978, 12122, 5079, 563, 268, 898, 568, 3730, 547, 1711, 1796, 29671, 11354, 2861, 3156, 602, 513, 3593, 666, 1175, 2196, 563, 268, 17179, 6266, 540, 19383, 267, 543, 29444, 267, 543, 6663, 693, 4028, 3498, 1646, 563, 268, 11354, 645, 2393, 17563, 2501, 609, 10081, 21341, 6571, 267, 11251, 26824, 13763, 267, 10081, 8410, 14808, 4851, 2359, 1439, 9557, 267, 543, 5614, 18849, 14160, 296, 563, 8722, 2137, 540, 11354, 645, 2393, 17563, 454, 763, 2934, 540, 11354, 645, 2393, 616, 607, 5205, 912, 306, 7428, 645, 2393, 14160, 296, 281, 634, 11354, 645, 2393, 14160, 296, 2636, 721, 547, 23108, 990, 344, 585, 1603, 11354, 645, 2393, 3156, 543, 30417, 15245, 30066, 3009, 563, 9359, 539, 667, 2570, 1890, 281, 901, 4183, 2337, 282, 519, 11354, 645, 2393, 27960, 1455, 29444, 1927, 543, 5555, 10607, 7607, 563, 306, 7428, 19461, 6500, 281, 901, 568, 513, 1357, 3498, 602, 666, 1711, 606, 4835, 1788, 2497, 585, 3755, 563, 8505, 334, 268, 3519, 14808, 4851, 281, 634, 10081, 8410, 14808, 4851, 4183, 540, 11354, 645, 2393, 2337, 538, 15205, 519, 9949, 19383, 2687, 547, 519, 1788, 563, 306, 7428, 2920, 340, 1807, 281, 901, 4183, 2488, 948, 1247, 4881, 11354, 645, 2393, 3156, 563, 19868, 3101, 543, 8232, 281, 901, 4183, 540, 11354, 645, 2393, 5849, 602, 782, 519, 3156, 1500, 676, 1210, 11354, 645, 2393, 616, 17956, 18113, 1510, 1022, 31484, 548, 563, 3963, 10261, 11354, 645, 2393, 888, 268, 11354, 645, 2393, 2488, 6617, 282, 621, 568, 1759, 593, 10084, 5691, 3684, 630, 297, 30470, 1040, 590, 2745, 645, 2393, 3755, 666, 1921, 547, 1022, 28162, 1788, 602, 789, 1616, 547, 563, 268, 898, 849, 2488, 4028, 3498, 1646, 538, 10084, 563, 268, 898, 2488, 1434, 14479, 609, 824, 4066, 971, 607, 1357, 4066, 267, 543, 12240, 899, 3733, 21415, 267, 5403, 326, 637, 27942, 267, 26057, 267, 3092, 563, 268, 11354, 645, 2393, 568, 513, 6531, 28921, 282, 621, 2488, 1434, 8112, 267, 543, 621, 568, 1930, 2707, 563, 306, 7428, 5288, 269, 11354, 645, 2393, 454, 2026, 1312, 3280, 519, 1482, 2012, 11354, 543, 11354, 645, 2393, 269, 1452, 2474, 616, 1419, 835, 540, 519, 1034, 14845, 2474, 267, 855, 972, 568, 2370, 3017, 1063, 873, 563, 347, 2005, 3217, 942, 547, 723, 519, 5614, 3498, 909, 543, 4881, 1475, 288, 10156, 1259, 547, 2196, 519, 5614, 18849, 3498, 2008, 347, 10048, 1137, 519, 1272, 4783, 540, 10084, 1475, 5591, 991, 547, 5855, 827, 16924, 8848, 1005, 513, 1239, 2707, 2008, 25238, 2570, 1890, 769, 20287, 17563, 1475, 288, 2776, 268, 18183, 2682, 323, 1305, 540, 5943, 270, 23855, 3098, 2008, 347, 16158, 3498, 17563, 1759, 593, 10084, 1475, 2005, 568, 513, 9074, 540, 11354, 543, 568, 1031, 547, 1711, 513, 11354, 3498, 1788, 799, 519, 3593, 666, 1175, 2196, 610, 14892, 2008, 16085, 7428, 2488, 2645, 543, 8021, 547, 1711, 16419, 1357, 3156, 1475, 2005, 3217, 606, 6644, 730, 2070, 540, 519, 3760, 2008, 347, 5415, 7294, 982, 513, 5614, 18849, 1475, 306, 7428, 645, 2393, 568, 1447, 7294, 982, 519, 11354, 17563, 2008, 26794, 540, 11354, 645, 2393, 454, 268, 11354, 18849, 2488, 1313, 27019, 14808, 4851, 547, 4452, 513, 1305, 540, 9949, 19383, 585, 513, 2656, 1376, 540, 519, 3498, 563, 268, 8073, 1796, 29671, 3156, 609, 513, 2039, 540, 1875, 1922, 23341, 2934, 602, 616, 1455, 547, 1804, 5049, 540, 3785, 563, 268, 898, 849, 2501, 609, 606, 11251, 8751, 13906, 7746, 267, 1425, 2280, 11149, 267, 543, 32591, 1399, 547, 2057, 519, 6165, 540, 2782, 6119, 799, 568, 519, 2462, 3364, 1631, 1317, 18864, 6499, 547, 946, 2782, 6119, 585, 741, 3156, 563, 268, 11354, 18849, 849, 2488, 606, 6644, 730, 2070, 547, 2569, 513, 17354, 779, 4674, 543, 14458, 519, 22163, 19383, 563, 268, 898, 2488, 513, 5614, 18849, 25690, 547, 2327, 21341, 2359, 543, 849, 2488, 1585, 3354, 14573, 563, 268, 898, 5161, 540, 513, 2647, 2039, 540, 29026, 585, 5464, 3156, 563, 2690, 519, 10380, 543, 14764, 540, 11354, 645, 2393, 267, 972, 616, 1079, 2081, 971, 607, 912, 268, 11354, 645, 2393, 14160, 296, 454, 268, 11354, 15484, 2672, 924, 630, 4306, 306, 994, 21902, 21976, 585, 11354, 645, 2393, 17563, 454, 306, 7428, 645, 2393, 476, 273, 269, 272, 269, 278, 24793, 3340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1031, 609, 8856, 568, 2629, 267, 607, 538, 4702, 610, 5619, 780, 21430, 17325, 725, 609, 519, 519, 617, 565, 924, 692, 3682, 1027, 675, 585, 4259, 909, 1384, 272, 2529, 564, 519, 7552, 617, 936, 519, 5619, 1448, 609, 519, 2212, 1377, 543, 7953, 1818, 827, 513, 476, 3583, 24266, 5086, 609, 519, 2666, 269, 6778, 519, 519, 617, 565, 924, 593, 519, 7552, 617, 780, 273, 269, 24344, 519, 4395, 7552, 617, 1850, 543, 1847, 519, 1079, 824, 7953, 547, 4099, 519, 519, 617, 565, 924, 676, 1210, 519, 726, 3518, 27342, 269, 24344, 519, 1394, 1079, 7953, 780, 274, 269, 3849, 3286, 519, 3259, 540, 835, 1850, 540, 519, 7552, 617, 693, 513, 942, 267, 1247, 5329, 519, 824, 1079, 1869, 269, 2422, 519, 726, 3518, 27342, 547, 1377, 519, 9764, 19389, 1510, 23892, 519, 1298, 1359, 780, 275, 10611, 582, 622, 519, 519, 617, 565, 924, 593, 519, 7552, 617, 2212, 2394, 922, 6676, 19389, 568, 6252, 547, 1022, 1079, 9087, 1824, 920, 9749, 269, 17797, 1346, 1079, 9087, 1824, 920, 9749, 547, 4099, 519, 19389, 780, 276, 10611, 582, 622, 519, 519, 617, 565, 924, 1560, 476, 3445, 5232, 547, 519, 2451, 269, 4741, 519, 19389, 609, 519, 3791, 9087, 1824, 920, 342, 269, 19244, 2394, 519, 19389, 568, 10704, 585, 782, 2185, 7158, 780, 277, 11482, 334, 4923, 519, 7552, 617, 17684, 269, 15585, 622, 519, 519, 617, 565, 924, 1560, 1472, 2394, 10704, 936, 519, 5619, 1448, 267, 1287, 9395, 523, 519, 17684, 269, 19244, 519, 1377, 532, 1184, 2394, 519, 519, 617, 565, 924, 568, 1377, 543, 10704, 780, 2414, 7747, 1022, 5086, 267, 2901, 8880, 610, 7299, 267, 1500, 676, 1079, 3615, 609, 519, 2990, 13026, 676, 519, 6293, 782, 602, 568, 2838, 568, 547, 3142, 835, 1843, 883, 1445, 609, 519, 16263, 4099, 267, 28728, 519, 2539, 6676, 538, 602, 2990, 267, 1224, 519, 12946, 610, 5086, 1500, 676, 519, 7755, 334, 1456, 6676, 267, 543, 18711, 519, 16263, 547, 519, 2034, 1843, 269, 634, 1283, 1862, 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 7490, 1118, 513, 21856, 547, 1832, 519, 31643, 3041, 4881, 269, 1284, 616, 1631, 538, 938, 476, 6321, 628, 1032, 269, 769, 519, 2250, 1032, 649, 3773, 476, 1911, 876, 1007, 9696, 543, 6603, 3592, 476, 12010, 271, 14327, 630, 6518, 1419, 2161, 834, 29171, 2642, 7064, 547, 519, 31643, 3041, 20257, 4033, 2081, 547, 24946, 692, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 28638, 278, 7830, 7089, 540, 9696, 609, 909, 547, 562, 12215, 1142, 540, 476, 272, 267, 273, 267, 24222, 333, 269, 476, 276, 454, 476, 272, 267, 476, 273, 267, 476, 866, 267, 476, 276, 2190, 279, 267, 476, 4489, 275, 4366, 280, 6078, 267, 476, 6977, 277, 3066, 5038, 280, 6434, 273, 277, 3445, 277, 267, 476, 4281, 275, 4968, 279, 3445, 23417, 280, 1240, 276, 1704, 15389, 26522, 278, 267, 476, 20969, 5400, 280, 31404, 29257, 274, 4200, 15946, 28670, 26825, 6977, 22001, 5038, 278, 275, 4343, 2190, 267, 476, 276, 2190, 24879, 3374, 279, 5400, 275, 278, 4097, 278, 2420, 279, 4375, 280, 5392, 276, 2918, 22332, 29483, 31816, 14631, 271, 2568, 278, 5780, 30444, 27149, 7871, 267, 476, 13923, 27420, 13301, 280, 1428, 29340, 279, 3583, 276, 4510, 278, 4366, 30588, 275, 4097, 280, 1691, 24798, 11740, 5392, 277, 277, 2537, 26605, 276, 5325, 13199, 4510, 278, 277, 6507, 24487, 14444, 279, 5038, 29637, 630, 4289, 282, 3113, 282, 1201, 338, 282, 6432, 282, 1686, 282, 1257, 282, 4835, 3898, 994, 5508, 12396, 4953, 476, 271, 267, 273, 700, 2562, 16775, 1325, 12251, 623, 269, 26081, 345, 267, 7305, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 271, 907, 2918, 11123, 300, 308, 6369, 513, 3799, 264, 9625, 1163, 263, 1556, 270, 1321, 264, 2608, 562, 22677, 333, 317, 273, 910, 562, 270, 273, 1341, 476, 272, 264, 1315, 630, 273, 265, 303, 328, 8203, 9230, 333, 268, 272, 8358, 273, 1040, 910, 28820, 15442, 918, 4925, 913, 322, 267, 2904, 476, 2190, 476, 1708, 271, 12327, 21283, 4041, 513, 263, 271, 264, 815, 476, 272, 281, 20465, 815, 519, 8900, 5311, 269, 513, 263, 272, 264, 815, 476, 273, 281, 630, 1070, 476, 272, 269, 513, 263, 273, 264, 815, 476, 866, 281, 630, 1070, 476, 272, 267, 476, 273, 267, 476, 1556, 267, 476, 1321, 267, 476, 2641, 267, 476, 2420, 267, 476, 12208, 267, 476, 13199, 267, 476, 14338, 267, 476, 21076, 267, 476, 18891, 267, 476, 21854, 267, 476, 12208, 273, 267, 476, 13199, 273, 267, 476, 14338, 272, 267, 476, 21076, 273, 267, 476, 18891, 272, 267, 476, 21854, 272, 269, 30684, 4041, 536, 281, 284, 22876, 3799, 267, 737, 267, 1775, 264, 4781, 3314, 282, 2387, 604, 319, 263, 330, 284, 271, 267, 476, 272, 267, 476, 3396, 1109, 319, 604, 319, 263, 328, 283, 272, 267, 476, 271, 267, 1039, 6357, 3799, 267, 737, 18191, 267, 1775, 268, 272, 8358, 329, 29755, 795, 284, 271, 907, 2381, 17347, 267, 562, 4297, 4297, 476, 6892, 1109, 754, 281, 513, 281, 284, 562, 15010, 1039, 6357, 3799, 267, 737, 267, 562, 12684, 330, 29755, 737, 284, 271, 907, 333, 317, 273, 2567, 694, 336, 5416, 3799, 1070, 562, 284, 271, 907, 1015, 5148, 13878, 26154, 2316, 7563, 7305, 314, 11764, 25208, 256, 265, 306, 7685, 290, 4141, 2310, 314, 11764, 20572, 317, 329, 10768, 29755, 2715, 329, 267, 476, 271, 267, 562, 348, 316, 317, 333, 267, 2715, 343, 267, 476, 271, 267, 737, 348, 3910, 2715, 330, 267, 476, 271, 267, 562, 317, 273, 348, 3910, 2715, 333, 267, 476, 271, 267, 476, 1015, 348, 316, 30916, 28820, 15442, 918, 4925, 913, 322, 267, 2904, 476, 2190, 476, 1708, 271, 2608, 264, 11550, 294, 630, 303, 2752, 296, 264, 2715, 320, 3799, 264, 815, 2040, 9217, 284, 271, 267, 562, 317, 273, 267, 1775, 256, 265, 31673, 1723, 1030, 4433, 636, 27203, 284, 271, 267, 562, 267, 1535, 317, 329, 10768, 256, 8203, 333, 267, 1775, 4297, 348, 8607, 1530, 328, 24734, 3509, 4821, 267, 2904, 476, 866, 476, 1001, 280, 595, 4629, 7704, 3918, 12396, 18007, 18304, 540, 589, 23056, 6872, 275, 269, 6301, 15497, 540, 589, 28143, 29580, 269, 595, 325, 269, 589, 1822, 24374, 267, 589, 271, 4097, 279, 6078, 269, 25627, 538, 2796, 281, 589, 15094, 271, 2764, 589, 271, 2190, 26631, 589, 6021, 275, 5780, 274, 2608, 589, 6021, 272, 277, 6434, 589, 27420, 21709, 589, 5881, 274, 29900, 1520, 329, 8809, 9696, 281, 1109, 1109, 288, 28638, 4037, 280, 589, 28638, 31318, 589, 28638, 278, 8618, 2608, 589, 28638, 278, 8287, 589, 28638, 278, 5038, 589, 28638, 278, 4792, 26395, 312, 310, 16704, 1875, 333, 27483, 295, 3036, 1325, 12251, 623, 269, 26081, 345, 267, 7325, 476, 6860, 476, 1001, 277, 29865, 4785, 9516, 692, 16100, 1575, 1923, 8080, 1923, 26264, 1923, 19193, 1923, 8535, 1923, 18140, 476, 273, 1923, 5915, 657, 1923, 12039, 1923, 25873, 1923, 2859, 1923, 5680, 23173, 454, 6944, 25572, 1007, 694, 336, 269, 610, 6085, 1923, 14474, 1923, 13910, 16847, 1923, 3690, 13257, 1923, 8111, 572, 2131, 518, 1923, 10765, 454, 763, 31643, 3041, 7991, 1923, 19321, 539, 676, 634, 31643, 3041, 7690, 5549, 780, 8310, 9168, 5437, 476, 1839, 476, 1704, 281, 7918, 29643, 476, 1708, 271, 269, 1230, 13935, 476, 24783, 27698, 9696, 269, 630, 305, 7342, 593, 522, 324, 529, 275, 4700, 0, 1012, 23586, 4542, 692, 763, 7503, 3815, 689, 12945, 17744, 547, 12945, 3952, 568, 476, 274, 269, 276, 4029, 5379, 277, 4792, 278, 13136, 279, 292, 268, 276, 267, 799, 1797, 602, 476, 272, 12945, 1298, 9014, 568, 3160, 547, 476, 274, 269, 276, 4029, 5379, 277, 4792, 278, 13136, 279, 292, 268, 276, 12945, 3952, 1384, 272, 4699, 274, 815, 476, 274, 269, 276, 4029, 5379, 277, 4792, 278, 13136, 279, 292, 268, 276, 10264, 274, 692, 2414, 6460, 476, 13647, 275, 12945, 17744, 883, 12945, 3952, 649, 723, 547, 9062, 476, 13647, 275, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 4320, 2179, 689, 12945, 17744, 547, 12945, 3952, 269, 1284, 666, 849, 1106, 513, 2241, 8167, 547, 5173, 519, 1267, 1384, 272, 4699, 274, 9890, 476, 274, 269, 276, 4029, 5379, 277, 4792, 278, 13136, 279, 292, 268, 276, 10264, 274, 692, 13647, 275, 4699, 274, 9890, 966, 263, 1111, 274, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 4320, 966, 538, 12945, 3952, 1384, 309, 263, 1111, 274, 264, 815, 476, 13647, 275, 4699, 274, 6398, 476, 274, 269, 276, 4029, 5379, 277, 4792, 278, 13136, 279, 292, 268, 276, 10264, 274, 692, 309, 263, 1111, 274, 264, 815, 476, 271, 269, 31239, 271, 5379, 279, 4029, 8660, 273, 6434, 274, 10264, 274, 692, 763, 3803, 1267, 568, 1384, 13647, 275, 4699, 274, 9890, 476, 271, 269, 31239, 271, 5379, 279, 4029, 8660, 273, 6434, 274, 10264, 274, 692, 2171, 9959, 602, 476, 13647, 275, 12945, 17744, 568, 6697, 547, 476, 271, 269, 31239, 271, 5379, 279, 4029, 8660, 273, 6434, 274, 12945, 3952, 1384, 13647, 275, 12945, 17744, 815, 476, 271, 269, 31239, 271, 5379, 279, 4029, 8660, 273, 6434, 274, 12945, 3952, 692, 1012, 20010, 7503, 692, 2171, 666, 849, 6460, 676, 9001, 519, 11201, 1871, 540, 519, 7503, 3815, 269, 769, 713, 2013, 476, 272, 12945, 3723, 568, 3160, 547, 476, 2190, 269, 280, 3583, 278, 5038, 30640, 271, 3953, 6398, 476, 13647, 275, 12945, 17744, 780, 5194, 1259, 568, 6031, 602, 476, 13647, 275, 12945, 17744, 568, 3160, 547, 476, 272, 21680, 476, 2190, 269, 280, 3583, 278, 5038, 30640, 271, 3953, 12945, 3952, 780, 1012, 20976, 1493, 1267, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 1284, 666, 2161, 602, 835, 8536, 835, 4627, 13977, 21144, 12945, 17744, 568, 5111, 4642, 1448, 4642, 2185, 12945, 3952, 1384, 13647, 275, 4699, 274, 9881, 483, 476, 271, 269, 6860, 10264, 274, 692, 2304, 4244, 568, 849, 602, 835, 12945, 3723, 568, 5111, 8938, 21144, 1448, 8370, 5722, 835, 2053, 835, 8536, 835, 4627, 13977, 21144, 12945, 17744, 780, 1012, 23586, 3349, 692, 2162, 12945, 17744, 547, 12945, 3952, 5750, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 12945, 17744, 547, 12945, 3952, 692, 31957, 545, 17744, 630, 9492, 274, 264, 12945, 3952, 630, 1111, 274, 994, 13647, 276, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 13647, 277, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 13647, 278, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 13647, 279, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 13647, 280, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 14625, 271, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 14625, 272, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 14625, 273, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 14625, 274, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 454, 14625, 275, 12945, 17744, 476, 271, 269, 6860, 12945, 3952, 0, 763, 31643, 3041, 7690, 568, 6462, 676, 23190, 689, 3755, 540, 519, 31643, 3041, 543, 676, 513, 9886, 689, 519, 3244, 976, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 28906, 29889, 12476, 268, 276, 1759, 27390, 32089, 540, 519, 1875, 17463, 9981, 910, 14583, 834, 295, 338, 2668, 476, 274, 454, 476, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 280, 267, 476, 1691, 267, 476, 866, 267, 476, 1240, 267, 476, 1724, 267, 476, 279, 267, 476, 278, 267, 476, 1321, 267, 476, 1704, 267, 476, 1626, 267, 476, 1556, 267, 476, 277, 267, 476, 276, 267, 476, 1015, 267, 476, 1428, 267, 476, 736, 267, 476, 2641, 267, 476, 2420, 267, 476, 2537, 267, 476, 2190, 267, 476, 5392, 267, 476, 10619, 267, 476, 4200, 267, 476, 7176, 267, 476, 10463, 267, 476, 4366, 267, 476, 5325, 267, 476, 7761, 267, 476, 9032, 267, 476, 9834, 267, 476, 10170, 267, 476, 5379, 267, 476, 3393, 267, 476, 3583, 267, 476, 4817, 267, 476, 3445, 267, 476, 4792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2993, 285, 2791, 723, 4121, 519, 9238, 540, 6824, 543, 8918, 5973, 1890, 607, 1134, 607, 875, 547, 6460, 689, 835, 1826, 540, 1297, 547, 1776, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 2993, 285, 2252, 596, 1131, 899, 3606, 2259, 3643, 519, 1739, 3896, 269, 21742, 2993, 20565, 592, 12481, 592, 12481, 592, 12481, 2993, 285, 293, 10330, 547, 31353, 21742, 2993, 20565, 592, 20565, 592, 12481, 592, 12481, 592, 12481, 2993, 285, 13356, 7769, 547, 17773, 21742, 2993, 20565, 592, 20565, 592, 11417, 2004, 269, 476, 2004, 269, 3718, 24764, 2999, 592, 12481, 2993, 285, 3412, 1137, 27366, 689, 24440, 2592, 21742, 2993, 20565, 592, 285, 0, 258, 3787, 3772, 10691, 692, 1607, 1888, 568, 476, 26482, 280, 2395, 2025, 799, 568, 811, 982, 519, 476, 18458, 1554, 12939, 649, 1450, 585, 1007, 30491, 269, 7490, 2022, 513, 1007, 1888, 780, 1012, 30318, 24762, 692, 6062, 267, 1134, 267, 1775, 6415, 711, 2731, 2386, 952, 713, 4422, 1934, 855, 1862, 1946, 1281, 9625, 263, 18605, 264, 815, 910, 28360, 538, 834, 349, 257, 2073, 476, 271, 781, 616, 4957, 547, 476, 272, 781, 543, 476, 272, 781, 616, 4957, 547, 476, 271, 781, 476, 18605, 538, 476, 3953, 11353, 568, 281, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 272, 476, 1822, 271, 476, 18089, 271, 9625, 18605, 1131, 581, 2807, 1134, 267, 513, 2603, 540, 476, 272, 781, 269, 594, 1224, 602, 1775, 1058, 946, 834, 18314, 781, 9148, 2580, 855, 782, 519, 1806, 1775, 1224, 616, 585, 476, 279, 11353, 269, 1809, 538, 713, 2013, 267, 1775, 21645, 2731, 1174, 875, 547, 4194, 713, 269, 2052, 18825, 2491, 621, 547, 875, 9625, 18605, 815, 910, 28360, 7790, 286, 7064, 513, 2603, 780, 7462, 9523, 593, 824, 4609, 454, 296, 949, 581, 19451, 267, 855, 594, 19616, 3787, 3772, 4238, 616, 1152, 6209, 585, 5667, 11220, 2010, 269, 630, 8489, 782, 11353, 616, 3160, 543, 835, 568, 711, 811, 1713, 982, 519, 1866, 24355, 1103, 9896, 2010, 267, 519, 1101, 3787, 6920, 1129, 269, 1924, 952, 602, 568, 711, 1305, 7620, 267, 1166, 6235, 621, 2306, 519, 1297, 2942, 780, 10190, 621, 849, 5205, 689, 519, 1079, 781, 9148, 267, 602, 950, 596, 16212, 782, 11353, 538, 513, 2318, 9896, 8870, 267, 596, 1205, 10416, 910, 263, 333, 1341, 476, 272, 2020, 7462, 9523, 593, 824, 4609, 454, 18605, 538, 476, 3953, 11353, 568, 607, 596, 1767, 912, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 272, 476, 1822, 271, 476, 18089, 271, 692, 4913, 267, 596, 991, 547, 1174, 875, 519, 476, 273, 338, 10687, 921, 618, 1568, 269, 769, 602, 10035, 267, 519, 1034, 1713, 630, 3847, 2865, 264, 3787, 568, 519, 1129, 1871, 585, 9896, 2010, 269, 4746, 267, 621, 568, 2966, 538, 513, 1259, 547, 5351, 1840, 780, 296, 8263, 596, 3494, 519, 1739, 1871, 547, 3160, 476, 271, 912, 1911, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 692, 2005, 1281, 711, 269, 1548, 602, 1871, 11224, 568, 912, 18733, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 1341, 476, 272, 692, 6546, 568, 519, 9183, 1141, 596, 723, 519, 4102, 2009, 1871, 543, 621, 834, 2651, 338, 936, 257, 547, 519, 2942, 1871, 780, 1911, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 2965, 11224, 519, 4102, 2942, 1871, 281, 910, 273, 267, 15704, 267, 4366, 274, 267, 277, 4366, 780, 3383, 267, 910, 272, 1131, 2965, 581, 912, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 692, 4517, 950, 596, 1039, 835, 267, 596, 1205, 782, 4642, 525, 269, 594, 1589, 713, 6941, 1946, 910, 18605, 568, 834, 320, 2603, 540, 476, 272, 338, 3010, 32621, 912, 594, 949, 581, 19451, 267, 855, 594, 19616, 3787, 3772, 4238, 616, 1152, 6209, 585, 5667, 11220, 2010, 269, 630, 8489, 782, 11353, 616, 3160, 543, 835, 568, 711, 811, 1713, 982, 519, 1866, 24355, 296, 15475, 621, 5673, 593, 1018, 596, 616, 3843, 547, 798, 269, 594, 1810, 1405, 1589, 621, 568, 1022, 811, 610, 1447, 6209, 780, 7462, 9523, 593, 824, 4609, 454, 32621, 912, 22731, 2022, 676, 4563, 20360, 349, 18605, 1131, 581, 2807, 1134, 267, 513, 2603, 540, 476, 272, 781, 780, 29012, 621, 568, 2439, 32621, 912, 855, 782, 519, 1806, 1775, 1224, 616, 585, 476, 279, 11353, 692, 763, 1806, 540, 1079, 781, 9148, 949, 581, 585, 5216, 11353, 267, 855, 972, 781, 4986, 2027, 827, 519, 10137, 547, 476, 3953, 11353, 269, 3371, 781, 910, 1015, 607, 606, 5216, 19229, 9896, 8870, 780, 9340, 6200, 1015, 692, 3086, 267, 1934, 781, 519, 1482, 1297, 267, 855, 607, 513, 476, 1626, 19229, 9896, 8870, 780, 9340, 9340, 9340, 9340, 18733, 271, 692, 2080, 781, 519, 1482, 1297, 607, 513, 476, 1911, 19229, 9896, 8870, 780, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 18733, 271, 692, 7476, 519, 1448, 2496, 7462, 9523, 593, 824, 4609, 454, 32621, 912, 22731, 2022, 676, 21233, 296, 949, 581, 19451, 267, 855, 594, 19616, 3787, 3772, 4238, 616, 1152, 6209, 585, 5667, 11220, 2010, 269, 630, 8489, 782, 11353, 616, 3160, 543, 835, 568, 711, 811, 1713, 982, 519, 1866, 24355, 763, 595, 610, 595, 10030, 4441, 4440, 1810, 1405, 14574, 519, 2164, 540, 3787, 3772, 4238, 593, 9896, 2010, 267, 855, 538, 10198, 972, 568, 1100, 3017, 1063, 9896, 543, 5667, 11220, 267, 865, 519, 29085, 786, 1175, 798, 519, 14255, 633, 3364, 780, 9827, 267, 930, 11353, 616, 811, 1713, 982, 1866, 538, 5667, 11220, 2010, 269, 594, 1810, 1405, 917, 1946, 596, 1131, 1589, 6382, 13718, 7462, 9523, 593, 824, 4609, 454, 32621, 912, 22731, 2022, 676, 620, 12534, 334, 763, 595, 610, 595, 10030, 4441, 4440, 1810, 1405, 14574, 519, 2164, 540, 3787, 3772, 4238, 593, 9896, 2010, 267, 855, 538, 10198, 972, 568, 1100, 3017, 1063, 9896, 543, 5667, 11220, 267, 865, 519, 29085, 786, 1175, 798, 519, 14255, 633, 3364, 269, 9827, 267, 930, 11353, 616, 811, 1713, 982, 1866, 538, 5667, 11220, 2010, 269, 594, 1810, 1405, 917, 1946, 596, 1131, 1589, 6382, 2483, 296, 9364, 581, 14281, 952, 602, 941, 519, 2013, 910, 972, 781, 7899, 540, 4128, 596, 9364, 1616, 547, 798, 3787, 3772, 12980, 593, 9896, 2338, 630, 303, 22326, 513, 9896, 476, 3953, 19229, 6378, 1448, 1871, 883, 476, 1626, 11353, 585, 3236, 6393, 7462, 9523, 593, 824, 4609, 454, 32621, 912, 22731, 2022, 676, 21233, 296, 949, 581, 19451, 267, 855, 594, 19616, 3787, 3772, 4238, 616, 1152, 6209, 585, 5667, 11220, 2010, 563, 2005, 5673, 593, 1018, 596, 1611, 676, 834, 26074, 995, 2668, 634, 25948, 1267, 540, 513, 3787, 3772, 5106, 593, 1079, 5667, 11220, 9981, 568, 15002, 2065, 543, 3760, 23949, 8817, 267, 6466, 519, 25948, 1267, 540, 513, 3787, 3772, 5106, 593, 1079, 9896, 9981, 568, 15002, 2065, 855, 3760, 17466, 630, 20357, 519, 595, 268, 20598, 2636, 585, 1896, 9896, 8870, 11269, 1040, 1703, 781, 1100, 2241, 267, 17715, 2078, 1063, 3787, 3772, 1630, 18978, 4238, 543, 6671, 12980, 12427, 267, 855, 1896, 1279, 29280, 6789, 300, 2553, 630, 6518, 594, 4927, 3277, 547, 607, 834, 560, 1575, 573, 3787, 15361, 8442, 7048, 593, 3787, 3772, 4238, 547, 9585, 28879, 6209, 2164, 269, 1452, 1419, 4096, 593, 513, 1880, 6041, 540, 2338, 780, 7462, 9523, 593, 824, 4609, 454, 32621, 912, 24314, 2022, 676, 5345, 559, 19378, 454, 32621, 912, 22731, 2022, 676, 620, 12534, 334, 763, 595, 610, 595, 10030, 4441, 4440, 1810, 1405, 14574, 519, 2164, 540, 3787, 3772, 4238, 593, 9896, 2010, 267, 855, 538, 10198, 972, 568, 1100, 3017, 1063, 9896, 543, 5667, 11220, 267, 865, 519, 29085, 786, 1175, 798, 519, 14255, 633, 3364, 269, 9827, 267, 930, 11353, 616, 811, 1713, 982, 1866, 538, 5667, 11220, 2010, 269, 594, 1810, 1405, 917, 1946, 596, 1131, 1589, 6382, 2483, 296, 9364, 581, 14281, 952, 602, 941, 519, 2013, 910, 972, 781, 7899, 540, 4128, 596, 9364, 1616, 547, 798, 3787, 3772, 12980, 593, 9896, 2338, 630, 303, 22326, 513, 9896, 476, 3953, 19229, 6378, 1448, 1871, 883, 476, 1626, 11353, 585, 3236, 6393, 2791, 9364, 581, 14281, 952, 1018, 941, 519, 2013, 2496, 7462, 9523, 593, 824, 4609, 454, 328, 1522, 581, 7508, 1945, 267, 855, 1775, 6415, 711, 2386, 952, 1775, 1205, 621, 780, 18605, 538, 476, 3953, 11353, 568, 912, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 272, 476, 1822, 271, 476, 18089, 271, 692, 810, 9625, 18605, 568, 1384, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 272, 476, 9340, 271, 476, 9340, 272, 476, 6200, 272, 692, 810, 1287, 267, 1775, 946, 1000, 657, 9148, 267, 1318, 2496, 604, 865, 267, 1775, 1205, 1384, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 271, 476, 1822, 272, 476, 1822, 271, 476, 18089, 272, 692, 6518, 1131, 581, 476, 28360, 269, 1809, 939, 553, 826, 950, 1775, 1705, 9625, 18605, 267, 519, 2451, 2865, 3787, 729, 476, 272, 267, 799, 4564, 513, 2942, 1871, 267, 519, 1267, 1131, 581, 910, 28360, 780, 529, 519, 1184, 21453, 2496, 7462, 9523, 593, 824, 4609, 454, 291, 2632, 7340, 692, 349, 273, 11203, 910, 273, 692, 349, 273, 815, 476, 271, 343, 9340, 9340, 4905, 476, 271, 343, 293, 291, 454, 268, 273, 815, 476, 271, 343, 9340, 9340, 1015, 476, 271, 343, 25539, 692, 810, 910, 263, 349, 273, 264, 11203, 476, 273, 692, 663, 692, 349, 271, 11203, 910, 271, 692, 349, 271, 815, 476, 271, 343, 9340, 9340, 1556, 454, 268, 271, 815, 476, 271, 343, 1822, 1822, 876, 692, 4692, 18825, 2491, 621, 547, 875, 9625, 18605, 815, 910, 28360, 7790, 2496, 4226, 3772, 9625, 343, 815, 910, 263, 343, 266, 272, 2020, 18605, 815, 476, 1822, 271, 476, 1822, 272, 476, 1822, 271, 476, 18089, 271, 454, 349, 18605, 815, 476, 9340, 272, 476, 9340, 271, 476, 9340, 272, 476, 6200, 272, 692, 28360, 815, 476, 1822, 271, 476, 1822, 272, 476, 1822, 271, 476, 18089, 272, 454, 268, 28360, 815, 476, 9340, 272, 476, 9340, 271, 476, 9340, 272, 476, 6200, 272, 692, 7462, 9523, 593, 824, 4609, 454, 10112, 11167, 596, 4628, 1174, 519, 3787, 3772, 10691, 11346, 267, 543, 519, 1249, 602, 621, 10691, 338, 782, 519, 11353, 538, 519, 1871, 630, 3953, 11353, 585, 476, 3953, 3787, 2418, 267, 476, 5038, 585, 476, 5038, 267, 3092, 1070, 596, 666, 1224, 713, 1384, 10674, 2517, 523, 25769, 3820, 28293, 270, 10521, 781, 318, 1260, 921, 618, 692, 2791, 616, 7680, 519, 476, 273, 781, 5360, 2939, 4341, 269, 3807, 1224, 519, 1657, 2376, 543, 621, 262, 331, 1118, 2631, 630, 327, 2100, 2685, 264, 2433, 335, 692, 7462, 9523, 593, 824, 4609, 454, 296, 9364, 1869, 8044, 602, 585, 17431, 5301, 5667, 11220, 2010, 1131, 581, 811, 5078, 269, 630, 1692, 2942, 2338, 616, 6719, 568, 606, 4277, 3390, 267, 855, 10169, 513, 5094, 1888, 689, 3787, 3772, 12427, 24355, 4407, 596, 666, 798, 1919, 609, 9896, 2418, 267, 875, 1419, 798, 596, 2731, 1589, 827, 873, 538, 2474, 540, 2318, 543, 2942, 2418, 286, 661, 3052, 267, 952, 596, 1616, 782, 11353, 1305, 267, 1131, 596, 2864, 946, 910, 272, 610, 9625, 271, 630, 528, 476, 271, 343, 13697, 13697, 13697, 13697, 910, 31641, 310, 15279, 2148, 1023, 3100, 547, 581, 5667, 11220, 538, 595, 10030, 21663, 1403, 596, 1616, 713, 3787, 332, 2532, 476, 271, 343, 13697, 13697, 1822, 271, 267, 1131, 596, 2015, 1210, 910, 277, 4649, 3607, 3079, 2496, 7462, 9523, 593, 824, 4609, 454, 9359, 609, 606, 476, 279, 19229, 1871, 269, 1323, 5667, 11220, 476, 279, 19229, 1297, 814, 519, 2039, 476, 271, 547, 476, 14838, 267, 610, 476, 271, 343, 876, 547, 476, 271, 343 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1646, 3785, 267, 13882, 936, 2244, 946, 4507, 267, 543, 8320, 540, 18275, 610, 5208, 269, 1677, 7001, 891, 10848, 538, 11174, 5708, 267, 4589, 1522, 2015, 2870, 17326, 7645, 3197, 945, 18220, 12721, 5380, 593, 8425, 30826, 780, 2690, 3236, 267, 789, 1223, 6338, 513, 17354, 945, 22992, 11099, 602, 1010, 3785, 786, 4324, 519, 2146, 1256, 607, 789, 771, 2897, 4540, 7264, 269, 6684, 267, 789, 1522, 9446, 513, 1279, 5503, 17055, 945, 759, 1235, 1689, 5103, 9301, 922, 1761, 2640, 269, 1635, 9306, 2789, 16752, 267, 4589, 666, 5000, 3988, 547, 4497, 9691, 609, 2152, 4478, 8425, 30826, 543, 20920, 609, 2055, 1472, 13919, 267, 7881, 267, 543, 5126, 780, 6962, 912, 11754, 7675, 4798, 540, 8425, 30826, 543, 2146, 1689, 538, 11174, 5708, 2636, 4589, 547, 10994, 10296, 1514, 4145, 1247, 5356, 3988, 3407, 4030, 883, 519, 10848, 540, 4207, 4683, 1272, 269, 1635, 3384, 13857, 13602, 267, 3638, 569, 6537, 3197, 267, 543, 859, 25607, 11673, 267, 5830, 666, 3560, 3988, 883, 10600, 1141, 8425, 30826, 5546, 11652, 568, 8032, 676, 1765, 785, 1339, 3527, 543, 3664, 269, 11086, 267, 676, 21679, 609, 891, 4101, 3584, 267, 11174, 5708, 4589, 666, 8300, 7279, 267, 6536, 6568, 267, 543, 3895, 2565, 3206, 1851, 741, 3988, 1222, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 310, 3480, 17996, 2160, 630, 310, 298, 308, 264, 3091, 513, 9049, 310, 609, 606, 11628, 30557, 4781, 269, 4841, 1590, 723, 513, 645, 14684, 1369, 519, 2063, 5722, 1296, 607, 1134, 607, 513, 476, 274, 269, 271, 717, 5183, 689, 513, 11483, 25446, 14092, 920, 323, 1243, 1982, 269, 769, 1840, 267, 1053, 1058, 723, 513, 12666, 6575, 4282, 563, 310, 298, 308, 779, 1982, 6212, 1082, 2127, 1107, 1507, 4872, 267, 10034, 267, 543, 1360, 6917, 2950, 269, 634, 3119, 1445, 568, 519, 6917, 2127, 602, 1118, 909, 1034, 540, 17996, 269, 634, 22759, 540, 654, 298, 308, 779, 1982, 2488, 1053, 609, 519, 5578, 1305, 2556, 547, 960, 3927, 538, 891, 2127, 269, 4841, 949, 960, 609, 14223, 2516, 267, 3506, 267, 13039, 267, 2790, 1072, 10506, 267, 543, 2146, 3906, 538, 519, 6917, 4259, 563, 8967, 29107, 6732, 9049, 310, 15789, 454, 292, 7568, 2659, 9049, 310, 6732, 689, 16110, 5069, 2160, 454, 17206, 540, 28631, 454, 292, 7568, 707, 9457, 540, 4317, 4518, 2228, 689, 519, 2160, 540, 28631, 563, 10743, 538, 519, 1982, 2347, 17440, 538, 519, 1739, 2127, 912, 8139, 1514, 960, 2259, 538, 3309, 6917, 2127, 563, 8139, 519, 2115, 540, 13781, 8041, 2324, 538, 6917, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 17151, 18887, 1315, 4975, 1299, 16011, 5020, 1315, 22918, 30826, 543, 7991, 7827, 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, 3600, 15064, 5365, 4393, 568, 513, 2565, 1858, 1369, 5122, 543, 2780, 4702, 267, 609, 3156, 8151, 689, 8301, 13496, 543, 6846, 5786, 547, 2564, 9196, 543, 14015, 2792, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 4909, 3741, 540, 17974, 5365, 4393, 267, 9878, 1880, 3007, 547, 922, 3498, 538, 1483, 8996, 7653, 269, 1284, 786, 849, 2263, 930, 540, 519, 2591, 5185, 676, 8030, 2324, 538, 713, 2361, 543, 1865, 1761, 3435, 780, 4263, 519, 2295, 540, 1022, 17974, 5365, 4393, 1062, 6013, 519, 1523, 540, 3280, 6329, 269, 589, 3280, 5951, 666, 581, 4330, 607, 513, 19717, 602, 9070, 919, 998, 513, 5420, 630, 7945, 607, 2011, 610, 1216, 264, 1813, 547, 7648, 538, 2604, 267, 2837, 267, 610, 9325, 5163, 269, 1452, 18063, 2014, 5536, 538, 519, 5420, 547, 5854, 622, 267, 2870, 2127, 540, 1164, 543, 1970, 2604, 1634, 607, 735, 11306, 543, 4686, 2399, 687, 267, 6606, 269, 901, 4806, 540, 20367, 735, 11306, 543, 4686, 2399, 687, 13054, 1018, 649, 13498, 607, 3280, 780, 763, 4908, 540, 513, 3280, 5951, 11887, 922, 12334, 282, 2362, 12451, 5330, 547, 2362, 8486, 2583, 267, 1247, 2539, 12451, 3132, 2539, 8486, 2583, 269, 6684, 267, 519, 17931, 540, 513, 3280, 5951, 5540, 922, 10978, 1145, 1107, 3677, 7586, 6421, 1267, 538, 21514, 1457, 4992, 267, 6466, 4130, 7586, 6421, 6556, 29779, 3283, 269, 4197, 891, 2596, 3601, 540, 3280, 2636, 721, 547, 13861, 543, 5659, 17974, 6786, 3927, 780, 3080, 2629, 2460, 540, 17974, 5365, 4393, 3322, 19003, 856, 13311, 3334, 689, 513, 2016, 5365, 269, 1280, 3236, 267, 2015, 606, 8301, 10916, 13572, 676, 4282, 6846, 971, 607, 1010, 28410, 610, 23832, 269, 1677, 3986, 519, 6947, 1995, 267, 621, 1131, 581, 14909, 547, 4894, 610, 2569, 713, 970, 8735, 748, 6846, 1510, 7133, 519, 5551, 8301, 1543, 269, 901, 3804, 666, 581, 6913, 1210, 12086, 4481, 2966, 547, 22887, 10663, 1978, 4908, 9832, 1247, 8497, 1866, 780, 288, 2442, 1826, 540, 6882, 1031, 538, 17974, 5365, 4393, 568, 519, 13113, 20949, 3210, 630, 293, 7644, 264, 6882, 269, 1323, 674, 7644, 6882, 13333, 676, 5996, 6295, 606, 3403, 5365, 609, 513, 1305, 540, 14170, 267, 4611, 538, 513, 22051, 2040, 540, 16607, 8747, 540, 519, 3403, 269, 1635, 5402, 8939, 891, 14170, 267, 8030, 666, 1711, 12086, 3358, 547, 1808, 4247, 267, 971, 607, 9427, 1164, 23151, 6846, 610, 20993, 18369, 18565, 780, 5194, 1271, 1362, 540, 12086, 6964, 538, 17974, 5365, 4393, 568, 12808, 20949, 3210, 630, 2862, 305, 264, 12086, 269, 9521, 741, 674, 7644, 13413, 267, 4083, 305, 12086, 6451, 5955, 17787, 267, 3850, 873, 547, 3035, 811, 1950, 6114, 1210, 7864, 14170, 269, 1717, 267, 713, 3773, 6988, 2501, 693, 519, 1942, 540, 2799, 8417, 547, 10230, 6959, 543, 16132, 267, 1818, 6297, 1374, 1898, 780, 10907, 15064, 16079, 23545, 566, 4564, 1776, 1713, 4161, 1369, 713, 6389, 269, 14597, 596, 723, 2479, 15548, 538, 513, 7658, 935, 12401, 1141, 2890, 10746, 13603, 909, 10529, 262, 9739, 543, 5129, 873, 1394, 609, 513, 13581, 8488, 269, 769, 602, 2013, 267, 596, 723, 4810, 519, 18473, 2360, 540, 17974, 16079, 269, 19296, 8396, 713, 3390, 676, 14139, 13261, 6620, 5827, 540, 21501, 543, 18946, 519, 16079, 5057, 689, 519, 4607, 5365, 538, 1483, 942, 780, 3849, 28922, 19003, 2553, 7048, 593, 27952, 2409, 602, 11179, 9337, 6882, 14170, 1759, 593, 5470, 7403, 1063, 5551, 543, 4890, 17016, 269, 2290, 4922, 1031, 5690, 585, 17974, 16079, 23545, 566, 568, 519, 2547, 1611, 10945, 630, 299, 5960, 264, 1505, 267, 799, 4188, 338, 14170, 27261, 958, 547, 7413, 519, 1611, 4009, 5470, 1063, 4704, 543, 22012, 6786, 269, 6736, 922, 16134, 267, 519, 700, 5960, 5690, 814, 8810, 2500, 538, 1082, 4052, 3156, 5473, 17974, 5365, 4393, 780, 1103, 5758, 267, 17974, 5365, 4393, 4249, 513, 4105, 1909, 538, 2413, 2029, 267, 18363, 4610, 971, 607, 8301, 4702, 267, 24118, 31627, 267, 543, 2825, 5464, 269, 3414, 519, 946, 540, 4359, 19003, 2553, 899, 674, 7644, 543, 4083, 305, 12086, 267, 8030, 666, 13861, 543, 5659, 1950, 17974, 6786, 267, 7393, 938, 2702, 547, 1174, 543, 2170, 609, 519, 1158, 1472, 721, 269, 5047, 267, 5571, 1382, 883, 13261, 6620, 5170, 547, 7903, 519, 6302, 540, 1018, 568, 2009, 538, 713, 3078, 9015, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23763, 547, 1205, 3238, 609, 1866, 945, 2671, 707, 4690, 286, 6258, 811, 827, 519, 15731, 28337, 609, 13325, 661, 4753, 2630, 563, 4488, 292, 4149, 24594, 9906, 20871, 454, 4322, 616, 1175, 513, 19625, 540, 519, 21362, 1229, 9906, 20871, 2139, 593, 13464, 563, 4488, 292, 17240, 572, 568, 606, 5993, 2875, 24507, 10554, 602, 20502, 5647, 538, 5122, 543, 2780, 4702, 4066, 269, 634, 10554, 2882, 1374, 19194, 267, 10509, 12909, 267, 543, 13033, 7886, 585, 1053, 267, 620, 30282, 267, 12200, 267, 543, 9746, 13222, 563, 4488, 2464, 3722, 2818, 4196, 607, 561, 807, 11143, 1063, 661, 4753, 7245, 543, 1053, 269, 16840, 2285, 3403, 593, 513, 3099, 540, 3785, 543, 3584, 7282, 519, 8257, 267, 543, 789, 3984, 1585, 2238, 543, 1514, 338, 585, 661, 4753, 1053, 2429, 519, 1153, 1032, 269, 9730, 2818, 616, 5697, 676, 519, 3105, 1032, 781, 12233, 676, 513, 1184, 13890, 538, 519, 1699, 10566, 2464, 3722, 13832, 563, 293, 15903, 693, 13325, 538, 476, 5002, 275, 267, 670, 298, 301, 568, 519, 8956, 2486, 585, 5122, 543, 2780, 4702, 1053, 269, 16840, 1222, 568, 1759, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 3600, 24065, 923, 1299, 14675, 1315, 3600, 15064, 28686, 14409, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3494, 519, 2626, 729, 476, 273, 270, 274, 269, 1656, 594, 5143, 1864, 621, 1131, 581, 8799, 547, 5431, 519, 10100, 540, 2319, 476, 273, 270, 274, 543, 7249, 7806, 3634, 873, 269, 1261, 3893, 593, 519, 14773, 906, 543, 7150, 834, 5475, 17874, 609, 1896, 6310, 4966, 257, 630, 663, 824, 1004, 4862, 827, 519, 15784, 543, 30409, 1864, 609, 3137, 585, 476, 273, 270, 274, 264, 834, 1492, 2626, 547, 519, 11777, 5506, 1966, 568, 1412, 22238, 2406, 262, 476, 273, 270, 274, 267, 865, 7249, 17894, 547, 12243, 476, 273, 270, 274, 267, 596, 616, 4440, 2953, 269, 2755, 649, 1131, 723, 17329, 513, 6793, 3948, 263, 23719, 519, 2625, 629, 15533, 1070, 649, 723, 7608, 519, 9030, 781, 23318, 607, 11802, 543, 1745, 602, 649, 723, 1044, 3811, 538, 938, 5692, 269, 0, 271, 692, 258, 1548, 568, 519, 2799, 6871, 540, 476, 3374, 9489, 689, 476, 736, 9489, 2496, 24993, 281, 476, 280, 270, 1704, 270, 1708, 274, 692, 310, 5942, 14871, 692, 1691, 344, 3516, 692, 19102, 848, 815, 476, 1428, 9489, 780, 1428, 9489, 267, 607, 513, 6871, 540, 476, 736, 9489, 815, 476, 1428, 270, 736, 2608, 476, 1911, 815, 476, 4037, 30515, 310, 5942, 14871, 692, 1691, 344, 3516, 692, 292, 7568, 1341, 736, 533, 1206, 454, 304, 281, 1548, 568, 519, 2799, 6871, 540, 476, 3374, 9489, 689, 476, 736, 9489, 888, 8138, 2466, 454, 26170, 723, 2055, 888, 16665, 2055, 692, 3374, 30515, 2162, 1548, 568, 476, 736, 540, 476, 3374, 9489, 2496, 2252, 596, 1611, 476, 736, 260, 1287, 621, 568, 476, 278, 9489, 692, 2162, 1684, 476, 736, 9489, 543, 476, 276, 9489, 1118, 476, 3374, 9489, 2496, 736, 9489, 3773, 547, 476, 276, 9489, 568, 476, 1839, 9489, 630, 2254, 476, 3374, 6393, 2162, 476, 2004, 9489, 14263, 476, 3374, 9489, 568, 1018, 6871, 1055, 2496, 2004, 9489, 14263, 476, 3374, 13362, 568, 476, 3583, 260, 1055, 780, 2162, 1215, 798, 596, 6460, 513, 6871, 538, 6824, 2496, 2791, 2328, 519, 6871, 936, 4627, 267, 1287, 1294, 952, 596, 666, 14458, 269, 7151, 281, 476, 3374, 260, 815, 476, 3374, 270, 1911, 815, 476, 278, 270, 736, 269, 2791, 2328, 519, 6871, 936, 4627, 267, 1287, 1294, 952, 596, 666, 14458, 269, 7151, 281, 476, 3374, 260, 815, 476, 3374, 270, 1911, 815, 476, 278, 270, 736, 269, 2791, 2328, 519, 6871, 936, 4627, 267, 1287, 1294, 952, 596, 666, 14458, 269, 7151, 281, 476, 3374, 260, 815, 476, 3374, 270, 1911, 815, 476, 278, 270, 736, 269, 2791, 2328, 519, 6871, 936, 4627, 267, 1287, 1294, 952, 596, 666, 14458, 269, 7151, 281, 476, 3374, 260, 815, 476, 3374, 270, 1911, 815, 476, 278, 270, 736, 780, 2162, 1548, 568, 519, 6871, 540, 5722, 14206, 338, 2496, 704, 1417, 720, 540, 5722, 14206, 815, 476, 3374, 260, 278, 270, 736, 281, 284, 476, 278, 1299, 15965, 728, 282, 476, 736, 284, 476, 271, 269, 3374, 538, 8918, 284, 476, 271, 269, 3374, 2608, 476, 1911, 260, 284, 476, 3374, 30515, 2162, 1548, 568, 476, 278, 856, 540, 476, 3374, 607, 513, 6871, 2496, 5353, 1597, 856, 540, 476, 3374, 568, 476, 736, 30515, 2162, 1548, 568, 476, 278, 14206, 338, 607, 513, 6871, 2496, 2467, 616, 476, 276, 6266, 540, 476, 736, 538, 476, 1911, 269, 1924, 596, 9062, 476, 276, 676, 476, 278, 799, 568, 476, 3374, 269, 1306, 513, 6824, 602, 568, 476, 3374, 4627, 2195, 610, 476, 3374, 260, 780, 6872, 269, 16318, 280, 30515, 2005, 568, 281, 476, 3374, 30515, 2005, 729, 476, 3583, 260, 780, 2162, 1548, 568, 476, 3374, 513, 6871, 540, 2496, 3374, 260, 568, 476, 278, 270, 736, 607, 513, 6824, 269, 898, 568, 476, 271, 269, 3374, 607, 513, 8918, 269, 0, 292, 6123, 540, 8212, 267, 476, 2004, 281, 16020, 281, 14530, 8745, 12843, 692, 14818, 476, 272, 5239, 476, 277, 267, 476, 1220, 275, 692, 763, 2324, 585, 782, 3435, 1590, 581, 3254, 269, 3143, 5491, 786, 581, 2016, 585, 606, 2626, 609, 1100, 2324, 269, 6875, 575, 547, 581, 476, 280, 269, 3199, 544, 4882, 273, 780, 272, 269, 589, 10260, 568, 513, 4320, 540, 2759, 3574, 3160, 547, 513, 10518, 476, 279, 10264, 1279, 267, 476, 275, 10264, 2647, 267, 543, 476, 275, 10264, 1164, 269, 589, 3723, 568, 476, 271, 269, 19054, 279, 544, 269, 1215, 1082, 27871, 616, 538, 476, 272, 269, 271, 544, 274, 2496, 810, 519, 1297, 540, 27871, 829, 12945, 11281, 568, 692, 272, 270, 274, 269, 277, 2190, 277, 815, 476, 271, 269, 22550, 3445, 692, 273, 269, 2201, 513, 3819, 4155, 267, 513, 1286, 609, 1434, 18646, 949, 581, 2111, 547, 20347, 609, 513, 3586, 632, 5120, 566, 540, 476, 275, 269, 10436, 544, 4882, 273, 269, 630, 320, 264, 1215, 1279, 1281, 971, 513, 1286, 267, 7620, 10707, 693, 692, 1839, 269, 273, 544, 4882, 267, 1491, 547, 3247, 286, 630, 321, 264, 1215, 2484, 1281, 621, 1847, 538, 713, 942, 2496, 5416, 264, 2422, 642, 815, 642, 271, 1341, 693, 267, 609, 519, 3803, 6991, 540, 4642, 267, 519, 3355, 6991, 476, 1839, 269, 273, 544, 4882, 543, 519, 10231, 910, 275, 269, 10436, 544, 4882, 273, 780, 271, 815, 476, 1839, 269, 273, 332, 4882, 910, 630, 275, 269, 10436, 544, 4882, 273, 264, 339, 692, 339, 815, 476, 1839, 269, 273, 270, 275, 269, 10436, 815, 476, 276, 269, 6977, 273, 521, 692, 6357, 264, 2422, 1535, 14870, 271, 815, 642, 271, 339, 1341, 476, 16006, 693, 273, 692, 284, 630, 1839, 269, 273, 332, 4882, 7565, 276, 269, 6977, 273, 338, 264, 910, 476, 271, 269, 276, 2608, 630, 275, 269, 10436, 544, 4882, 273, 7565, 276, 269, 6977, 273, 338, 264, 273, 692, 284, 476, 4792, 269, 18357, 544, 692, 274, 269, 589, 6149, 568, 12628, 883, 513, 5757, 689, 513, 8115, 476, 3393, 269, 271, 10264, 1657, 519, 1216, 269, 6271, 6149, 568, 16207, 19794, 1524, 476, 272, 269, 273, 521, 1310, 519, 1101, 568, 12628, 269, 634, 1079, 10007, 10880, 519, 1216, 693, 519, 1482, 942, 269, 630, 320, 264, 1548, 568, 519, 3355, 3432, 540, 519, 2034, 6149, 286, 630, 321, 264, 28220, 6991, 8957, 942, 593, 513, 3113, 585, 1142, 6149, 267, 2921, 4642, 942, 607, 519, 8216, 519, 1101, 6149, 568, 5950, 780, 263, 296, 5497, 547, 1826, 519, 4463, 540, 519, 8115, 607, 476, 3393, 269, 271, 631, 4953, 8991, 269, 1403, 596, 3576, 621, 547, 581, 713, 267, 594, 6825, 707, 4267, 607, 2953, 849, 2020, 5416, 264, 634, 942, 3144, 676, 519, 1101, 6149, 568, 1336, 689, 692, 344, 910, 586, 271, 815, 642, 271, 12682, 910, 476, 16006, 575, 339, 273, 692, 271, 910, 630, 3393, 269, 271, 2608, 476, 271, 269, 19054, 279, 264, 815, 476, 271, 910, 476, 16006, 630, 280, 269, 279, 264, 339, 273, 692, 339, 273, 815, 476, 273, 265, 3393, 269, 271, 265, 271, 269, 19054, 279, 1315, 476, 280, 269, 279, 815, 476, 273, 269, 278, 4200, 273, 521, 273, 692, 339, 815, 476, 272, 269, 6858, 274, 272, 521, 692, 7712, 519, 2034, 6149, 729, 12628, 476, 272, 269, 273, 338, 2663, 267, 922, 942, 538, 519, 2011, 568, 476, 272, 269, 6858, 274, 272, 910, 476, 272, 269, 273, 815, 476, 271, 269, 5325, 274, 272, 521, 780, 2414, 2887, 538, 713, 942, 267, 922, 3355, 3432, 568, 1336, 1210, 519, 1482, 3830, 855, 609, 713, 942, 1384, 344, 910, 586, 271, 815, 642, 271, 12682, 910, 476, 16006, 575, 339, 273, 692, 271, 910, 630, 3393, 269, 271, 2608, 476, 271, 269, 19054, 279, 264, 815, 642, 271, 344, 263, 271, 269, 5325, 274, 272, 338, 264, 910, 476, 16006, 630, 280, 269, 279, 7565, 271, 269, 5325, 274, 272, 338, 264, 273, 692, 16006, 630, 280, 269, 279, 7565, 271, 269, 5325, 274, 272, 338, 264, 273, 910, 630, 3393, 269, 271, 2608, 476, 271, 269, 19054, 279, 264, 815, 642, 271, 344, 263, 271, 269, 5325, 274, 272, 338, 2020, 341, 271, 344, 815, 910, 2918, 269, 6858, 275, 544, 4882, 692, 763, 14263, 1129, 2982, 602, 621, 729, 16207, 1524, 2072, 267, 922, 3432, 568, 476, 2918, 269, 6858, 275, 544, 4882, 780, 275, 269, 589, 1286, 568, 9141, 7532, 585, 513, 3845, 540, 476, 3583, 5998, 267, 1287, 5087, 585, 476, 2412, 5998, 267, 543, 1287, 538, 513, 4287, 476, 2412, 4113, 7532, 540, 5087, 585, 476, 1839, 5998, 269, 28220, 519, 6152, 6516, 543, 3313, 630, 320, 264, 519, 9588, 543, 630, 321, 264, 519, 5086, 540, 519, 1286, 781, 2698, 12761, 689, 922, 4358, 1448, 780, 763, 2698, 1535, 16327, 9426, 540, 519, 12761, 568, 476, 3583, 1341, 476, 271, 1341, 476, 1839, 5609, 263, 2412, 4113, 264, 815, 476, 10436, 269, 271, 3583, 5998, 692, 763, 2698, 586, 16327, 9426, 568, 476, 271, 1341, 476, 2412, 1341, 476, 1839, 5430, 263, 2412, 4113, 264, 815, 476, 6795, 269, 14681, 5998, 692, 763, 9588, 540, 519, 2698, 12761, 568, 692, 763, 5086, 609, 519, 1535, 14289, 568, 2016, 676, 16009, 336, 815, 586, 16327, 9426, 24474, 16327, 9426, 692, 284, 476, 6795, 269, 14681, 270, 10436, 269, 271, 3583, 692, 336, 815, 476, 4097, 269, 275, 4200, 4113, 692, 276, 269, 589, 10935, 568, 10707, 25318, 538, 519, 2318, 4287, 540, 606, 1535, 7852, 693, 476, 1321, 5998, 10774, 609, 2463, 547, 519, 1216, 540, 513, 5757, 269, 634, 1216, 568, 13576, 693, 476, 280, 269, 271, 5998, 10774, 609, 2463, 547, 519, 2666, 269, 1548, 616, 630, 320, 264, 519, 9588, 543, 630, 321, 264, 519, 4287, 540, 519, 10935, 781, 6991, 609, 2463, 547, 519, 2666, 286, 589, 1126, 593, 519, 10935, 15211, 689, 4395, 547, 15493, 693, 476, 276, 269, 271, 5998, 10774, 609, 2463, 547, 519, 10935, 269, 1548, 616, 519, 630, 322, 264, 9588, 543, 630, 323, 264, 4287, 540, 519, 1126, 781, 6991, 609, 2463, 547, 519, 2666, 2496, 5416, 264, 642, 19447, 2969, 8566, 4629, 26685, 815, 642, 19447, 2969, 8862, 2969, 2207, 1341, 642, 310, 2969, 2207, 8566, 4629, 26685, 692, 284, 476, 1321, 5998, 10774, 910, 476, 280, 5998, 10774, 630, 20357, 519, 1216, 568, 13576, 538, 519, 2942, 4287, 692, 284, 476, 274, 5998, 10774, 692, 6357, 264, 519, 10935, 568, 3001, 538, 519, 2318, 4287, 609, 2463, 547, 519, 2666, 630, 20357, 922, 642, 568, 2318, 2020, 6262, 264, 642, 6224, 6579, 291, 8566, 4629, 26685, 815, 642, 6224, 6579, 291, 5174, 302, 2969, 1341, 642, 19447, 2969, 8566, 4629, 26685, 692, 284, 910, 276, 269, 271, 5998, 10774, 1341, 476, 274, 5998, 10774, 692, 284, 910, 273, 269, 271, 5998, 10774, 692, 763, 9588, 540, 519, 1126, 781, 6991, 568, 476, 273, 269, 271, 5998, 10774, 267, 543, 630, 323, 264, 519, 4287, 568, 2965, 2942, 269, 4014, 519, 10935, 568, 3001, 25318, 267, 519, 1126, 781, 6991, 3448, 547, 519, 10935, 568, 18481, 2942, 602, 519, 1126, 568, 3001, 19654, 780, 277, 269, 8422, 4448, 7161, 616, 15504, 547, 519, 1318, 593, 513, 8880, 11508, 1652, 3349, 676, 513, 3196, 540, 9588, 570, 274, 815, 476, 7761, 269, 271, 715, 269, 1403, 544, 272, 815, 476, 1015, 269, 271, 4846, 10484, 332, 273, 815, 476, 1321, 269, 271, 4846, 267, 543, 544, 274, 815, 476, 1691, 4846, 267, 5173, 630, 320, 264, 519, 9588, 540, 519, 1062, 781, 10231, 267, 630, 321, 264, 519, 8082, 570, 272, 267, 543, 630, 322, 264, 519, 8082, 570, 273, 780, 5416, 264, 7994, 782, 1614, 7161, 607, 519, 1062, 269, 634, 2527, 540, 519, 1062, 568, 1287, 476, 1015, 269, 271, 1341, 476, 1321, 269, 271, 1341, 476, 1691, 4700, 815, 476, 4097, 4846, 267, 543, 519, 1152, 5007, 8880, 3196, 9117, 593, 621, 568, 519, 8082, 570, 274, 692, 293, 6339, 815, 12103, 692, 7761, 269, 271, 715, 815, 630, 3374, 4846, 264, 513, 692, 320, 815, 476, 7761, 715, 1315, 476, 3607, 4846, 815, 476, 273, 544, 4882, 273, 692, 1607, 568, 519, 10231, 585, 1142, 540, 519, 7161, 780, 6357, 264, 7994, 519, 2527, 476, 272, 607, 519, 1062, 269, 3767, 519, 1152, 8880, 3196, 9117, 568, 570, 272, 267, 865, 692, 307, 272, 815, 544, 272, 320, 815, 630, 1015, 4846, 7565, 273, 544, 4882, 273, 264, 815, 476, 736, 715, 692, 6262, 264, 7994, 476, 272, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8173, 825, 901, 1599, 2132, 519, 7003, 724, 339, 630, 1993, 9343, 264, 540, 642, 332, 3758, 454, 825, 2433, 12407, 3758, 12173, 912, 825, 2433, 8873, 281, 1899, 20311, 454, 825, 8173, 825, 642, 332, 18316, 815, 1930, 31526, 12173, 994, 825, 1899, 20311, 815, 476, 271, 454, 825, 1247, 642, 332, 18316, 18667, 1467, 10031, 1038, 1899, 20311, 6834, 476, 272, 454, 825, 642, 332, 18316, 25379, 4590, 825, 2132, 1899, 20311, 692, 3698, 2973, 318, 6050, 17635, 332, 318, 6050, 2187, 825, 8173, 825, 901, 1599, 18274, 782, 8292, 9497, 2260, 8442, 689, 3515, 454, 825, 2433, 12407, 642, 332, 318, 6050, 912, 825, 2433, 8873, 281, 1007, 318, 6050, 281, 19345, 1592, 540, 642, 332, 3515, 454, 825, 8173, 825, 1007, 318, 6050, 815, 11713, 825, 585, 1775, 538, 2039, 12759, 17635, 332, 318, 6050, 15892, 1038, 1899, 815, 642, 332, 318, 6050, 5157, 4940, 29328, 4590, 1038, 6085, 318, 11034, 815, 1899, 26098, 2891, 2260, 5602, 1038, 952, 1899, 2652, 834, 257, 610, 6085, 318, 11034, 2652, 476, 271, 912, 2018, 3136, 454, 1038, 8640, 6085, 318, 11034, 3436, 476, 271, 912, 2018, 1899, 815, 1899, 11468, 1260, 618, 318, 11034, 2639, 1038, 1007, 318, 6050, 6910, 263, 1467, 994, 825, 2132, 1007, 318, 6050, 692, 3698, 1899, 9078, 560, 318, 273, 23919, 263, 1467, 2187, 825, 1193, 815, 834, 4840, 825, 585, 561, 538, 1899, 912, 1038, 1193, 6834, 561, 454, 1038, 1193, 6834, 27719, 333, 4840, 825, 2132, 1193, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18871, 3918, 12442, 570, 21764, 11406, 347, 17730, 267, 18111, 1154, 7515, 269, 23959, 585, 3113, 8728, 616, 2813, 609, 519, 10137, 6789, 11581, 12283, 8198, 347, 3201, 9898, 570, 21764, 1475, 8368, 28203, 14842, 630, 32061, 267, 18111, 1154, 519, 9587, 3092, 12175, 2008, 18871, 3918, 12442, 28960, 13052, 11406, 347, 17730, 267, 18111, 1154, 30455, 8198, 347, 2791, 666, 849, 1711, 606, 4994, 547, 4766, 519, 1082, 3562, 14633, 2078, 585, 835, 610, 811, 4610, 630, 1729, 1711, 513, 4914, 1883, 2078, 855, 1510, 513, 1526, 1778, 17083, 10245, 10574, 4946, 543, 18111, 1154, 454, 10574, 28294, 1637, 5678, 630, 291, 7876, 994, 347, 29002, 9136, 543, 8728, 547, 3113, 568, 2147, 547, 4946, 5638, 547, 22228, 7515, 8198, 347, 14701, 4041, 15288, 1475, 5719, 548, 1154, 9136, 543, 8728, 689, 519, 3113, 8198, 347, 308, 11520, 12442, 1475, 9556, 2305, 540, 519, 2418, 585, 1367, 9587, 540, 5638, 269, 347, 0, 11927, 14243, 630, 290, 12505, 665, 528, 1314, 19826, 558, 601, 553, 282, 20703, 1054, 6350, 24094, 8094, 763, 1570, 3838, 538, 713, 7127, 729, 13006, 607, 851, 540, 513, 3703, 9142, 14102, 1382, 1788, 538, 476, 1001, 279, 593, 15718, 648, 334, 6177, 1702, 538, 519, 3474, 16331, 18885, 932, 23147, 630, 310, 344, 526, 5069, 267, 28697, 1040, 634, 1344, 543, 12400, 2097, 689, 476, 279, 268, 1015, 2043, 26906, 1282, 5147, 476, 1001, 279, 282, 782, 5795, 8763, 10479, 547, 2671, 519, 1344, 609, 519, 1857, 865, 607, 547, 2333, 1857, 7071, 540, 15718, 648, 334, 1893, 267, 8733, 1702, 267, 543, 2620, 13218, 547, 519, 8916, 540, 519, 7187, 932, 23147, 563, 21446, 622, 4408, 281, 16009, 340, 5451, 282, 16009, 889, 5451, 267, 513, 577, 984, 334, 630, 286, 994, 292, 4944, 269, 4432, 16009, 14243, 1285, 13453, 598, 796, 18085, 334, 1965, 2133, 24140, 18372, 1958, 340, 550, 571, 513, 796, 512, 580, 516, 522, 513, 796, 679, 655, 15282, 1765, 607, 6403, 796, 334, 533, 4240, 324, 26453, 518, 23313, 1609, 5451, 524, 2075, 320, 796, 795, 16331, 541, 563, 8777, 269, 634, 16009, 14243, 29808, 609, 513, 2027, 5152, 950, 621, 9060, 513, 20259, 610, 606, 10546, 910, 865, 835, 666, 917, 952, 513, 795, 16331, 541, 568, 7404, 563, 25565, 15718, 648, 334, 11182, 540, 519, 8832, 932, 23147, 267, 3474, 16331, 599, 1299, 30643, 0, 763, 1646, 540, 19908, 32468, 2747, 568, 513, 1184, 540, 2186, 5385, 267, 865, 4749, 11402, 693, 1169, 1377, 540, 2486, 602, 922, 1764, 593, 1480, 10304, 5377, 540, 519, 7406, 1875, 581, 1169, 2897, 652, 13846, 630, 303, 745, 8636, 267, 476, 2735, 272, 1040, 769, 476, 3707, 278, 267, 2098, 691, 2006, 642, 1221, 602, 267, 23600, 568, 606, 2085, 540, 19908, 269, 634, 14496, 540, 713, 3948, 519, 4279, 3281, 668, 16014, 2221, 267, 2094, 19908, 568, 513, 3375, 6194, 1184, 4122, 1031, 547, 1118, 856, 6030, 540, 2962, 610, 547, 15814, 2200, 630, 308, 787, 267, 476, 1960, 272, 1040, 1306, 971, 267, 3283, 2702, 547, 2932, 1134, 814, 4274, 10096, 585, 3283, 2123, 543, 3318, 1134, 5630, 269, 6736, 519, 25896, 602, 1034, 540, 721, 21907, 1169, 1554, 267, 7858, 328, 1218, 3136, 547, 1651, 584, 1016, 9953, 2711, 4093, 267, 11021, 602, 2259, 1281, 711, 2141, 1118, 3501, 269, 16399, 630, 1220, 272, 264, 2306, 713, 1448, 950, 1352, 4967, 602, 12593, 681, 7469, 807, 630, 2735, 273, 264, 814, 6010, 2989, 19908, 547, 513, 7544, 17548, 1034, 540, 721, 632, 655, 2760, 14648, 4245, 1547, 1547, 1547, 610, 917, 1018, 547, 798, 693, 835, 942, 649, 1265, 6000, 593, 519, 7544, 6989, 630, 1320, 15106, 267, 476, 1220, 272, 267, 533, 4097, 1040, 1306, 513, 1267, 267, 5640, 689, 606, 5044, 540, 10459, 630, 324, 3052, 1421, 6530, 267, 9297, 267, 4853, 543, 10721, 2623, 267, 15257, 267, 10618, 267, 543, 1876, 264, 3136, 547, 8495, 519, 4632, 602, 4558, 344, 585, 1521, 518, 4619, 528, 269, 6969, 5640, 666, 5352, 513, 2588, 850, 3069, 3823, 7858, 328, 1807, 8011, 518, 267, 543, 1305, 11735, 1095, 20696, 5796, 585, 13844, 621, 267, 789, 1898, 581, 2312, 827, 1018, 1967, 568, 543, 875, 621, 568, 10512, 1242, 563, 1607, 1957, 12116, 519, 4720, 540, 2219, 3823, 476, 272, 264, 519, 10512, 1436, 540, 7858, 328, 1807, 1967, 543, 519, 29943, 891, 1699, 18765, 540, 1967, 688, 341, 552, 593, 3069, 543, 593, 1382, 267, 476, 273, 264, 519, 3705, 256, 512, 566, 540, 2357, 16666, 4681, 267, 476, 274, 264, 4978, 827, 2500, 2994, 267, 543, 476, 275, 264, 5316, 1903, 827, 9028, 543, 1095, 20696, 5796, 269, 769, 9759, 713, 1957, 13187, 602, 519, 4214, 540, 7858, 328, 1807, 1967, 814, 4957, 936, 942, 1813, 547, 519, 5821, 547, 5806, 3729, 1063, 7858, 328, 1807, 6859, 543, 2994, 1031, 585, 13844, 519, 6859, 269, 901, 1957, 786, 1780, 593, 8044, 602, 519, 1476, 15929, 540, 891, 3982, 1862, 1403, 596, 1616, 547, 1205, 513, 15210, 1557, 267, 3898, 621, 593, 938, 3896, 281, 11352, 20578, 26261, 2593, 454, 2252, 596, 1616, 547, 1205, 513, 2407, 1557, 267, 3643, 938, 2985, 281, 2328, 1250, 1957, 0, 293, 27518, 267, 2904, 476, 4029, 267, 476, 1001, 280, 454, 27144, 11534, 523, 10773, 26012, 3594, 1382, 4574, 454, 27144, 11534, 523, 10773, 476, 3396, 1109, 2414, 1628, 513, 2285, 856, 5827, 540, 21006, 3003, 4872, 693, 693, 835, 942, 789, 2877, 513, 1268, 609, 513, 5100, 267, 3728, 543, 3860, 2634, 269, 2334, 1268, 729, 7917, 11534, 523, 10773, 269, 7917, 11534, 523, 10773, 729, 519, 13085, 10196, 3297, 519, 1646, 540, 519, 10570, 10514, 269, 2755, 10570, 23038, 6146, 18374, 540, 1004, 267, 519, 10570, 10514, 4465, 519, 2112, 1996, 519, 5545, 630, 13328, 2782, 476, 273, 1040, 901, 5280, 1317, 649, 1131, 711, 723, 11542, 513, 4960, 22215, 519, 1292, 6532, 593, 3723, 269, 3396, 1109, 4407, 21662, 2012, 814, 1831, 24190, 609, 519, 10570, 10514, 972, 568, 811, 547, 519, 1650, 982, 602, 269, 808, 269, 7917, 11534, 523, 10773, 729, 4535, 538, 1715, 3840, 4975, 593, 4989, 476, 2420, 267, 476, 5002, 275, 269, 2991, 4271, 908, 689, 12370, 543, 5659, 896, 29527, 681, 9801, 5112, 693, 11062, 2160, 267, 11534, 523, 10773, 4607, 1010, 1912, 6185, 269, 538, 5125, 538, 476, 4572, 276, 269, 769, 476, 4572, 280, 267, 646, 8120, 547, 519, 2136, 2276, 547, 4001, 693, 519, 2160, 540, 4993, 20588, 543, 693, 2836, 15306, 269, 3396, 1109, 26796, 6217, 540, 6602, 522, 535, 31612, 538, 476, 4350, 280, 267, 11534, 523, 10773, 5612, 9787, 539, 519, 335, 1601, 2225, 540, 10570, 23038, 269, 769, 476, 3707, 272, 267, 646, 729, 4547, 883, 519, 10570, 10514, 1788, 543, 729, 4280, 547, 5173, 519, 2565, 2527, 540, 20879, 268, 20720, 267, 519, 2179, 2877, 547, 7558, 513, 5832, 5114, 7868, 1985, 1032, 646, 19632, 513, 1895, 540, 930, 540, 519, 1655, 7811, 21575, 538, 519, 2197, 547, 29171, 1380, 519, 1374, 540, 519, 1898, 10514, 269, 4937, 24380, 2917, 23108, 1407, 267, 519, 7952, 11464, 538, 5279, 540, 519, 10048, 21908, 5741, 267, 3957, 11534, 523, 10773, 519, 3621, 8689, 540, 519, 1982, 267, 543, 1927, 789, 4956, 593, 11968, 1325, 32115, 267, 1715, 6792, 267, 607, 519, 3135, 585, 519, 6046, 9604, 8047, 269, 23108, 1407, 27963, 20044, 773, 273, 2285, 11469, 547, 540, 11534, 523, 10773, 267, 834, 295, 525, 513, 21184, 269, 589, 1483, 21184, 1862, 3963, 267, 11534, 523, 10773, 6487, 827, 3388, 269, 1261, 666, 2911, 547, 596, 827, 4376, 596, 3142, 909, 269, 4270, 711, 4010, 269, 594, 7058, 972, 581, 513, 1906, 1919, 646, 1281, 660, 917, 827, 269, 1261, 1281, 660, 917, 4376, 827, 5026, 630, 928, 4788, 335, 1137, 1040, 3396, 1109, 763, 5234, 8057, 689, 476, 1789, 3744, 547, 476, 276, 267, 1822, 267, 782, 3843, 547, 535, 328, 562, 880, 960, 593, 519, 10514, 1354, 519, 26876, 753, 1705, 269, 2201, 519, 1554, 540, 519, 1449, 267, 11534, 523, 10773, 4628, 7691, 519, 11104, 640, 540, 1018, 646, 1185, 1175, 12913, 269, 1306, 646, 11542, 8384, 519, 25487, 6531, 267, 646, 27416, 2663, 267, 513, 4745, 689, 519, 20045, 6409, 611, 717, 7534, 267, 519, 9699, 27403, 267, 6083, 730, 998, 1010, 2247, 267, 834, 296, 993, 1831, 2669, 267, 519, 6861, 518, 540, 10600, 1701, 901, 5539, 26693, 8185, 593, 1010, 17525, 267, 543, 950, 646, 1558, 609, 5518, 16452, 32457, 538, 476, 3707, 277, 267, 646, 608, 13094, 267, 834, 16031, 269, 5518, 267, 594, 723, 1973, 593, 1250, 3946, 1701, 630, 928, 4788, 335, 1137, 264, 3396, 1109, 3891, 1305, 909, 513, 1382, 6728, 585, 519, 5741, 693, 11968, 1325, 32115, 267, 1715, 6792, 269, 0, 2414, 1205, 3323, 609, 267, 649, 1590, 1174, 602, 519, 4214, 540, 9397, 689, 1876, 523, 7593, 269, 1703, 568, 589, 2736, 513, 3656, 2680, 538, 602, 606, 2534, 1223, 7654, 581, 5833, 269, 769, 9086, 267, 519, 892, 19874, 892, 1223, 1118, 4704, 547, 519, 1688, 532, 540, 3959, 610, 741, 1533, 540, 1373, 10300, 1540, 676, 519, 8128, 563, 288, 3656, 16758, 1131, 581, 606, 2534, 610, 960, 602, 513, 15818, 1281, 713, 3322, 2189, 1876, 995, 6042, 543, 3652, 799, 5749, 1406, 2356, 10483, 609, 519, 1367, 23072, 519, 3656, 960, 269, 1280, 602, 2601, 267, 513, 15818, 1131, 581, 9833, 607, 513, 3318, 952, 646, 5205, 519, 3652, 9138, 676, 519, 4182, 1876, 17864, 563, 2252, 519, 18914, 729, 10707, 1996, 519, 2095, 540, 6098, 6808, 267, 26063, 2829, 1131, 3494, 621, 513, 2339, 267, 1498, 519, 18914, 8227, 1185, 1100, 5470, 585, 519, 16154, 269, 1557, 5830, 1703, 616, 1114, 6082, 1141, 621, 779, 1175, 2965, 513, 8840, 1306, 713, 2013, 568, 711, 2808, 676, 519, 4031, 538, 930, 6082, 607, 513, 2736, 909, 269, 589, 9920, 949, 581, 4371, 3743, 950, 1079, 6517, 2743, 1142, 824, 538, 824, 954, 8063, 16450, 610, 3955, 3557, 563, 299, 20235, 3527, 616, 5258, 883, 1614, 6688, 269, 1452, 616, 281, 5871, 4521, 6601, 6545, 267, 8549, 6601, 6545, 267, 543, 2372, 1774, 585, 12624, 538, 4521, 6601, 6545, 563, 288, 7928, 1876, 610, 12475, 1876, 4016, 547, 1346, 2665, 538, 799, 1776, 3423, 919, 513, 1268, 779, 2924, 269, 634, 6207, 1034, 6093, 1063, 891, 2010, 540, 28746, 1131, 581, 2073, 519, 21556, 540, 513, 1268, 779, 1318, 547, 10715, 269, 4521, 18655, 666, 1331, 513, 1286, 16154, 267, 1557, 5830, 693, 799, 538, 1249, 519, 6408, 4503, 9232, 519, 11318, 540, 519, 824, 1480, 1373, 1010, 1272, 267, 17403, 540, 519, 1753, 267, 6007, 610, 14213, 2073, 4638, 14213, 267, 610, 5310, 1256, 513, 1857, 25213, 563, 3080, 540, 519, 7986, 1826, 540, 9086, 1131, 581, 5313, 1876, 269, 634, 8549, 32202, 28787, 338, 2920, 267, 799, 1110, 12885, 519, 2259, 540, 1876, 1754, 985, 5313, 1876, 11268, 269, 8549, 7939, 949, 581, 3730, 585, 1346, 945, 2461, 4867, 6849, 3656, 10997, 563, 2467, 568, 589, 5313, 7939, 5393, 2147, 547, 1876, 1547, 1717, 267, 519, 3157, 8246, 676, 17864, 547, 14377, 543, 917, 1018, 779, 1175, 513, 1876, 4661, 610, 1875, 2275, 1021, 540, 2534, 616, 1114, 689, 519, 3283, 1336, 538, 12475, 9086, 563, 2690, 1383, 267, 513, 1286, 5734, 513, 15393, 267, 4929, 621, 547, 3247, 543, 3614, 675, 519, 1286, 779, 9920, 269, 769, 713, 2013, 267, 513, 3409, 585, 1455, 1876, 1286, 8009, 14796, 666, 581, 1500, 269, 769, 513, 5313, 1876, 1286, 8009, 2013, 267, 2705, 267, 621, 1131, 581, 513, 18670, 540, 513, 5313, 29417, 585, 519, 1286, 547, 723, 1044, 9141, 593, 513, 19814, 1510, 513, 4570, 12689, 269, 769, 713, 2013, 267, 513, 15818, 1522, 581, 2111, 547, 946, 1557, 5830, 513, 5313, 1876, 547, 10839, 585, 3993, 538, 1876, 607, 513, 8878, 563, 29995, 267, 513, 1286, 8009, 4386, 950, 972, 568, 606, 1764, 1063, 513, 1286, 543, 606, 1843, 971, 607, 513, 3529, 610, 2679, 269, 2961, 26301, 2049, 1034, 1419, 950, 519, 6472, 616, 3001, 267, 711, 693, 782, 11074, 267, 543, 10707, 1996, 519, 2095, 540, 6808, 269, 1403, 596, 723, 1044, 9901, 609, 513, 18670, 540, 513, 1533, 1876, 267, 543, 707, 1286, 568, 538, 1249, 16944, 540, 713, 267, 596, 786, 991, 513, 10839, 585, 3993, 538, 1876, 547, 9718, 3054, 563, 2252, 596, 1745, 602, 596, 616, 1373, 21991, 3176, 16789, 569, 267, 596, 1058, 3142, 538, 513, 11727 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10203, 519, 32235, 538, 1114, 5933, 540, 15657, 568, 2219, 547, 2285, 606, 4977, 7447, 540, 519, 6207, 2179, 540, 32235, 1459, 538, 606, 9065, 776, 267, 607, 621, 568, 1419, 5340, 543, 4330, 538, 519, 3332, 563, 1704, 21210, 1277, 17190, 540, 11299, 543, 7782, 30124, 454, 763, 4761, 1277, 1670, 28969, 5340, 593, 519, 5160, 540, 519, 11299, 7902, 547, 581, 3811, 543, 4951, 2178, 28969, 538, 519, 3384, 32235, 607, 4397, 630, 306, 984, 3626, 742, 1696, 620, 1421, 476, 1001, 273, 1040, 2991, 15360, 540, 8284, 3173, 2705, 267, 519, 10727, 540, 891, 28969, 568, 6065, 1540, 607, 519, 28969, 1223, 581, 513, 1267, 540, 936, 25785, 566, 540, 519, 5160, 269, 1677, 13182, 519, 2164, 267, 519, 28969, 1058, 581, 7368, 538, 519, 5160, 689, 519, 4996, 1186, 267, 607, 713, 5160, 814, 1044, 4368, 730, 585, 513, 10156, 1974, 563, 2005, 1058, 581, 7074, 602, 519, 11299, 543, 519, 4996, 1186, 723, 5030, 896, 1114, 6381, 3823, 2188, 12018, 519, 1609, 9317, 4783, 267, 971, 607, 9449, 14242, 267, 6379, 543, 14915, 566, 563, 11997, 1463, 6476, 540, 5160, 689, 3993, 543, 7782, 568, 711, 5227, 563, 2691, 4152, 519, 12489, 593, 519, 5160, 540, 519, 4996, 1186, 649, 1705, 711, 4383, 547, 3489, 2147, 2164, 538, 519, 5160, 540, 519, 4996, 1186, 269, 901, 1223, 581, 1317, 540, 519, 12489, 8429, 741, 1163, 19418, 4266, 267, 855, 713, 568, 12691, 607, 789, 723, 2141, 1044, 6740, 5265, 543, 941, 1152, 476, 275, 3275, 2025, 950, 1031, 269, 634, 811, 2693, 7778, 568, 602, 519, 30651, 942, 25295, 922, 5021, 538, 519, 11299, 543, 4061, 786, 711, 2285, 22973, 2164, 563, 9827, 3956, 641, 637, 5703, 30124, 941, 3769, 538, 519, 4255, 585, 13844, 1808, 28969, 609, 891, 12489, 269, 1306, 1100, 18970, 23023, 1900, 568, 2877, 538, 713, 7014, 267, 649, 4397, 1732, 2164, 538, 13792, 6810, 269, 634, 19916, 2705, 568, 711, 607, 5693, 7298, 607, 621, 568, 538, 1612, 3530, 514, 11251, 6810, 269, 2368, 28969, 729, 4767, 855, 519, 2497, 540, 519, 5160, 729, 1932, 21372, 547, 9959, 1022, 5160, 10391, 2534, 1369, 519, 9065, 776, 563, 2691, 11173, 609, 713, 1382, 594, 1131, 4363, 547, 5635, 519, 8673, 25101, 6534, 4996, 1186, 543, 2011, 23337, 5803, 6534, 4996, 1186, 609, 519, 4996, 1186, 594, 2907, 18886, 269, 901, 1131, 1118, 621, 2009, 547, 10646, 1063, 606, 13261, 543, 513, 1463, 8673, 1198, 543, 4061, 30881, 519, 1198, 540, 8673, 4598, 1282, 6379, 269, 4746, 267, 547, 1118, 1134, 1922, 15903, 6898, 593, 519, 1198, 540, 8673, 4598, 1282, 6379, 593, 519, 21155, 548, 7535, 540, 519, 4996, 1186, 267, 3677, 2338, 540, 2516, 1058, 581, 18886, 547, 723, 811, 8579, 1379, 563, 1103, 824, 2090, 8983, 616, 6534, 547, 513, 7848, 540, 13416, 543, 2427, 3613, 3195, 8673, 799, 3568, 2362, 9830, 540, 15910, 8328, 4874, 7094, 545, 23599, 30691, 269, 898, 568, 2219, 602, 713, 666, 7369, 519, 1259, 540, 21155, 548, 2530, 676, 13346, 519, 3666, 1063, 30091, 543, 1313, 15047, 344, 630, 306, 984, 3626, 742, 1696, 269, 620, 267, 476, 1001, 273, 1040, 901, 3666, 814, 711, 1044, 14916, 6594, 2943, 543, 1223, 2285, 5813, 547, 519, 1909, 540, 8673, 6757, 1218, 538, 1591, 2669, 269, 21210, 1277, 32554, 626, 1537, 2079, 1058, 1118, 713, 2009, 543, 5688, 320, 1436, 540, 519, 7014, 1031, 538, 713, 1353, 1223, 581, 513, 1376, 547, 1174, 519, 1909, 540, 30091, 538, 21155, 548, 22930, 269, 4746, 5027, 3441, 607, 513, 1267, 540, 8673, 4598, 1223, 581, 6594, 1210, 513, 570, 7419, 5085, 2079, 563, 18814, 547, 3908, 942, 713, 729, 711, 5340, 538, 713, 1353, 855, 621, 568, 5227, 538, 519, 2104, 563, 763, 1353, 1374, 729, 20979, 585, 519, 946, 585, 519, 5761, 1353, 676, 918, 269, 2725, 9807, 543, 19890, 3112, 581, 1031, 547, 8495, 12680, 607, 16445, 2450, 543, 942, 547, 6379, 616, 12012, 676, 9449, 14242, 269, 901, 4603, 2306, 946, 540, 2898, 1560, 4598, 547, 13416, 8673, 6466, 538, 824, 2090, 14236, 6757, 2360, 540, 8673, 4598, 267, 8673, 1349, 610, 9224, 26209, 4598, 616, 1031, 269, 631, 823, 16271, 547, 2898, 1560, 4598, 3824, 652, 8673, 5536, 607, 519, 8983, 4043, 547, 2973, 2933, 267, 15029, 561, 10107, 568, 15286, 1282, 9224, 26209, 4598, 269, 1717, 267, 950, 1210, 519, 524, 32332, 2877, 585, 9224, 26209, 4598, 519, 8983, 1995, 2799, 2179, 540, 2566, 543, 3662, 7829, 607, 12649, 676, 4258, 978, 962, 10611, 269, 476, 1001, 271, 269, 3117, 7185, 814, 711, 2943, 1044, 6603, 593, 799, 1505, 13147, 923, 1480, 8673, 4598, 1034, 8308, 563, 1240, 1403, 513, 8673, 1198, 568, 7298, 538, 519, 4996, 1186, 540, 7296, 11299, 267, 972, 1590, 581, 513, 7271, 799, 6087, 2825, 7506, 547, 581, 5293, 593, 547, 519, 7782, 269, 4935, 2484, 267, 972, 616, 1152, 1179, 2827, 593, 713, 7271, 267, 5631, 7282, 27981, 7497, 269, 1306, 519, 11567, 11444, 1397, 909, 538, 2789, 8673, 1644, 10260, 1973, 2090, 950, 7421, 8335, 18861, 730, 5027, 4525, 267, 621, 1131, 581, 9621, 547, 1353, 519, 1418, 10391, 2360, 269, 4635, 8955, 771, 7611, 2409, 267, 1808, 1591, 2010, 1223, 581, 9916, 543, 2285, 513, 811, 2143, 2626, 547, 519, 4282, 540, 2825, 7506, 1282, 6379, 269, 1403, 649, 1131, 4628, 1174, 519, 7271, 3297, 519, 7506, 540, 6757, 656, 4598, 1282, 6379, 267, 713, 1131, 7654, 2285, 9072, 585, 2126, 540, 840, 333, 520, 958, 6534, 2043, 563, 763, 10351, 1591, 7535, 538, 8951, 568, 840, 333, 520, 958, 3964, 543, 666, 581, 6766, 676, 4874, 7094, 545, 23599, 30691, 269, 4329, 1382, 568, 19179, 1243, 547, 9959, 875, 25073, 5160, 23465, 547, 16906, 8673, 7135, 269, 5637, 606, 2333, 538, 8579, 1379, 543, 513, 9962, 3099, 540, 2553, 786, 1683, 5813, 538, 938, 4767, 7678, 602, 666, 581, 6045, 607, 606, 9542, 1198, 538, 519, 4996, 1186, 540, 8673, 6534, 11299, 563, 1607, 1353, 1223, 711, 723, 1044, 5340, 1510, 519, 5583, 540, 1250, 19217, 832, 267, 7788, 655, 773, 330, 14208, 2131, 689, 519, 8257, 540, 26861, 564, 7879, 1299, 21859, 928, 19223, 267, 543, 7557, 339, 15505, 670, 2643, 651, 2742, 689, 519, 8257, 540, 11202, 1108, 269, 2353, 6901, 723, 1044, 5340, 609, 519, 524, 7342, 948, 689, 3057, 13568, 1234, 6359, 526, 619, 267, 519, 25566, 689, 519, 8257, 540, 11202, 1108, 269, 4746, 267, 594, 1131, 899, 547, 9684, 10127, 22223, 2725, 9807, 267, 945, 5795, 519, 4316, 547, 1353, 519, 30124, 689, 1200, 7296, 8983, 1353, 563, 5472, 523, 590, 2529, 269, 630, 1001, 275, 1040, 595, 7837, 12076, 7296, 1851, 2021, 281, 875, 666, 649, 948, 286, 3687, 333, 269, 2405, 563, 289, 1515, 323, 654, 8160, 1421, 14208, 8576, 700, 6993, 1421, 10067, 1228, 7079, 645, 563, 263, 1220, 276, 264, 595, 32555, 8328, 4874, 7094, 545, 23599, 8652, 21666, 5937, 2793, 740, 2265, 338, 543, 6127, 540, 2962, 269, 30287, 20703, 23688, 10402, 269, 476, 3393, 263, 273, 268, 274, 2567, 11793, 268, 1691, 563, 289, 768, 534, 590, 8160, 1421, 4168, 623, 12282, 1421, 590, 6346, 267, 594, 14371, 1421, 670, 1195, 518, 623, 11065, 269, 630, 1220, 271, 1040, 29191, 25570, 640, 538, 4775, 674, 29531, 14148, 543, 645, 277, 8983, 13251, 676, 1970, 1673, 846, 4598, 547, 1614, 4874, 7094, 545, 23599, 30691, 912, 1260, 1706, 2581, 998, 9819, 540, 606, 9065, 25570, 4994, 269, 24768, 565, 269, 10331, 269, 24103, 565, 269, 9484, 476, 1428, 3248, 24445, 3266, 10790, 1421, 700, 10394, 21289, 6261, 2946, 30959, 589, 269, 630, 1001, 272, 264, 634, 1909, 540, 513, 787, 331, 8652, 21666, 13805, 543, 31832, 560, 1779, 609, 21110, 13805, 538, 3210, 540, 6089, 2860, 2281, 547, 519, 3209, 25710, 32214, 8069, 22904, 1054, 27927, 3421, 543, 993, 514, 1993, 15442, 821, 2271, 808, 540, 6089, 2860, 9210, 889, 563, 290, 1156, 590, 1421, 2098, 26907, 1627, 1421, 18681, 962, 1421, 717, 7776, 674, 1421, 20568, 2473, 630, 1001, 274, 264, 2598, 8306, 540, 19058, 25170, 1646, 3123, 32623, 7949, 2215, 867, 658, 10351, 1591, 18735, 855, 1281, 711, 1860, 741, 4287, 531, 9194, 269, 645, 10157, 22776, 269, 476, 1556, 281, 2420, 563, 291, 4209, 631, 12171, 269, 543, 5682, 595, 10611, 269, 630, 2735, 273, 1040, 10613, 540, 4015, 540, 10269, 8673, 585, 10763, 5301, 269, 10765, 740, 322, 1734, 538, 10269, 3163, 476, 279, 267, 476, 5655, 268, 9083, 563, 10908, 3089, 2006, 19113, 267, 17713, 517, 10790, 267, 23101, 595, 630, 1220, 279, 1070, 774, 1941, 7921, 918, 299, 269, 6356, 540, 538, 14685, 334, 543, 2038, 3734, 2175, 593, 2937, 1072, 543, 2068, 269, 715, 1621, 331, 808, 2405, 282, 3374, 280, 281, 8618, 268, 10463, 563, 7883, 539, 28496, 717, 267, 8709, 3541, 9546, 631, 293, 267, 19923, 6359, 11825, 623, 267, 12844, 1088, 717, 297, 269, 630, 1220, 280, 264, 5369, 22181, 2042, 543, 4797, 7296, 1282, 840, 1146, 1097, 269, 5410, 1112, 20409, 282, 4097, 281, 29889, 268, 277, 563, 294, 13783, 267, 808, 1421, 3345, 7723, 918, 1421, 717, 1120, 800, 590, 1421, 16019, 700, 11482, 269, 543, 623, 655, 3691, 344, 631, 269, 630, 1001, 275, 264, 634, 10236, 5852, 540, 1453, 543, 10708, 949, 581, 6766, 676, 519, 27514, 7296, 6208, 540, 741, 20516, 338, 281, 513, 19976, 20165, 1353, 269, 2549, 269, 808, 269, 9966, 269, 22776, 1232, 282, 2918, 263, 277, 2567, 278, 4029, 268, 476, 280, 563, 294, 745, 828, 594, 267, 3807, 589, 267, 21960, 1676, 631, 267, 20098, 577, 589, 630, 1220, 279, 1916, 22546, 540, 513, 4807, 779, 7296, 4567, 593, 522, 22889, 267, 1990, 17789, 1774, 267, 543, 1554, 476, 274, 840, 268, 10603, 787, 334, 2298, 538, 538, 20117, 22289, 543, 21872, 4483, 1982, 269, 674, 23459, 269, 28238, 559, 269, 476, 3445, 267, 476, 14862, 280, 268, 10219, 273, 563, 295, 4532, 531, 267, 674, 269, 630, 2735, 277, 1040, 12186, 540, 4598, 547, 2011, 5533, 543, 7296, 593, 519, 726, 659, 1581, 513, 787, 331, 8652, 21666, 18038, 2643, 848, 630, 288, 295, 295, 264, 1035, 6638, 269, 5246, 563, 5319, 1333, 269, 2657, 476, 6078, 263, 277, 1070, 476, 4391, 278, 268, 4343, 274, 563, 295, 4772, 599, 589, 5861, 1421, 19923, 340, 667, 269, 304, 1421, 31513, 918, 8160, 1421, 15168, 7322, 670, 5861, 1421, 570, 7568, 641, 11169, 5652, 631, 6993, 269, 630, 1220, 278, 264, 3690, 23400, 2360, 540, 19341, 543, 30564, 4598, 547, 15522, 269, 7736, 4531, 267, 476, 1220, 278, 282, 4029, 281, 22724, 268, 6795, 563, 297, 5417, 4141, 966, 15030, 1421, 7638, 7921, 645, 20166, 1421, 632, 681, 1342, 518, 631, 6993, 1421, 670, 1993, 2006, 589, 1421, 27963, 523, 22138, 808, 10422, 267, 631, 3326, 670, 6993, 1421, 6008, 1122, 619, 661, 6993, 1421, 654, 8636, 17507, 808, 5861, 8160, 269, 630, 1220, 278, 264, 631, 11189, 7296, 543, 19341, 2208, 4162, 538, 1114, 5712, 540, 6379, 281, 519, 5108, 681, 1353, 269, 2549, 808, 25731, 2723, 282, 13679, 281, 6344, 278, 268, 1428, 563, 298, 20482, 808, 289, 267, 667, 3089, 9116, 681, 267, 3733, 619, 631, 267, 2826, 339, 918, 299, 267, 631, 19921, 523, 990, 338, 6390, 25633, 543, 4855, 26792, 808, 298, 269, 630, 1220, 277, 264, 10829, 2305, 540, 2635, 21155, 1564, 538, 519, 30564, 543, 2937, 10856, 9065, 776, 281, 2963, 585, 5826, 540, 2215, 867, 658, 21155, 548, 3761, 282, 15171, 281, 4817, 268, 11820, 563, 298, 20482, 808, 289, 267, 3733, 619, 631, 267, 18722, 17241, 269, 630, 1001, 274, 264, 634, 6384, 540, 519, 2215, 867, 658, 21155, 548, 15395, 563, 300, 1846, 19085, 962, 267, 1772, 6062, 342, 1092, 570, 269, 630, 1001, 276, 264, 674, 1460, 566, 2409, 585, 519, 11091, 540, 19916, 267, 681, 18456, 267, 543, 5946, 538, 1612, 3530, 514, 15041, 5523, 4765, 1480, 17818, 2860, 1591, 30542, 690, 2761, 338, 538, 8983, 563, 32325, 20703, 269, 22776, 269, 476, 14862, 280, 281, 26562, 268, 8287, 563, 301, 7002, 631, 2529, 1421, 11809, 340, 808, 269, 23340, 654, 14371, 269, 630, 1220, 279, 264, 10829, 2305, 540, 1649, 15605, 314, 320, 316, 6853, 16867, 543, 824, 13698, 295, 338, 538, 519, 16796, 543, 21155, 983, 5714, 540, 21596, 8957, 1875, 23337, 758, 619, 269, 3115, 16967, 24768, 565, 563, 8248, 7204, 267, 631, 9950, 269, 630, 1220, 277, 264, 3245, 2215, 867, 658, 10351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 776, 331, 681, 3558, 2581, 267, 654, 31165, 267, 15618, 5181, 476, 4905, 476, 1001, 274, 454, 2171, 1430, 13185, 281, 3689, 15470, 540, 2887, 2356, 4386, 1282, 5181, 763, 3328, 1164, 543, 1970, 2221, 568, 476, 6507, 543, 476, 7871, 5232, 269, 2311, 519, 1439, 540, 519, 3923, 267, 519, 3328, 1164, 543, 1970, 786, 6749, 547, 476, 5038, 543, 476, 6078, 5232, 563, 7212, 519, 2487, 3636, 4365, 1869, 814, 1034, 540, 721, 3206, 4832, 267, 938, 1101, 15470, 2356, 4386, 1282, 519, 3923, 540, 5181, 269, 634, 1699, 476, 1789, 4458, 3328, 585, 1101, 476, 3953, 24266, 610, 2539, 2837, 540, 2887, 568, 20029, 269, 476, 1789, 267, 609, 519, 1279, 3856, 3328, 630, 718, 1296, 2094, 476, 6642, 272, 264, 1373, 593, 20029, 269, 476, 1839, 563, 8310, 1032, 267, 1256, 1310, 835, 540, 519, 3636, 652, 28782, 593, 2594, 267, 519, 1101, 15470, 540, 15489, 7018, 2038, 593, 20029, 269, 476, 1240, 267, 609, 930, 824, 6753, 10916, 15470, 593, 519, 6640, 540, 20029, 269, 476, 280, 267, 950, 519, 1970, 6603, 476, 3607, 5232, 693, 670, 10725, 4139, 23076, 538, 674, 14417, 563, 763, 2250, 476, 3445, 2395, 519, 3328, 1164, 5210, 723, 1152, 11385, 730, 689, 476, 10619, 547, 476, 10695, 5232, 267, 855, 513, 1454, 811, 4028, 1689, 2356, 4386, 538, 5181, 267, 609, 5469, 2406, 16830, 4365, 4947, 538, 519, 1985, 1906, 4374, 563, 5970, 513, 4365, 2243, 596, 8910, 899, 12943, 286, 19478, 4757, 11333, 2593, 2676, 528, 2328, 547, 654, 31165, 23566, 10177, 14982, 267, 654, 31165, 6874, 309, 267, 13340, 476, 26727, 277, 267, 674, 14417, 267, 27020, 476, 6812, 272, 5400, 454, 5649, 519, 5816, 693, 7088, 10177, 1188, 269, 732, 822, 7860, 2593, 0, 335, 4382, 1938, 543, 11404, 2699, 548, 13949, 13855, 454, 16341, 26300, 532, 9623, 543, 10372, 827, 23561, 6165, 1862, 28781, 519, 3095, 269, 621, 568, 7824, 543, 596, 786, 991, 547, 23822, 547, 1224, 621, 563, 10193, 267, 713, 568, 23652, 689, 13855, 31296, 1007, 12072, 602, 4422, 547, 1250, 4757, 269, 22763, 543, 20883, 1862, 335, 21242, 538, 4173, 335, 6226, 652, 563, 274, 264, 11525, 7821, 16393, 16440, 29838, 338, 910, 645, 17424, 645, 23411, 6435, 2549, 874, 756, 2103, 674, 697, 19423, 674, 2426, 639, 269, 24796, 21942, 267, 5240, 333, 1155, 2593, 267, 476, 274, 270, 278, 270, 1220, 278, 634, 13738, 5835, 6122, 13949, 13855, 540, 4993, 568, 12735, 4240, 676, 16507, 17126, 687, 12991, 295, 5183, 31896, 4551, 593, 20883, 262, 2960, 1522, 948, 547, 4688, 27738, 689, 26132, 2518, 7771, 267, 23456, 1007, 1382, 269, 634, 960, 2982, 602, 13855, 22238, 7821, 666, 948, 547, 4339, 1055, 513, 24037, 17343, 269, 3509, 5095, 540, 27738, 616, 20034, 5471, 532, 267, 543, 930, 723, 2907, 19079, 17255, 269, 2290, 540, 519, 2101, 3123, 568, 513, 17343, 1572, 289, 21358, 577, 5255, 12682, 8922, 27765, 13681, 520, 573, 529, 267, 799, 2729, 593, 519, 2960, 540, 930, 20883, 663, 2892, 600, 32752, 269, 1306, 538, 3425, 267, 27738, 3984, 513, 2146, 540, 4551, 593, 741, 2960, 269, 1924, 3725, 573, 20831, 693, 6276, 23885, 2160, 538, 26858, 7921, 267, 9098, 267, 342, 1180, 1229, 2436, 519, 2146, 5645, 676, 27738, 11630, 547, 645, 6155, 754, 13681, 520, 573, 529, 1185, 4503, 922, 2702, 547, 4339, 1055, 519, 17343, 269, 1677, 1449, 713, 2856, 267, 20831, 543, 1010, 9164, 9678, 1114, 321, 22160, 2249, 689, 519, 2960, 540, 513, 1455, 2892, 600, 6387, 269, 1358, 2322, 519, 1142, 1993, 891, 2249, 593, 1283, 540, 930, 645, 269, 27765, 13681, 520, 573, 529, 3395, 538, 513, 8891, 686, 771, 8518, 1336, 602, 1896, 540, 873, 7166, 1055, 513, 15429, 540, 519, 17343, 272, 269, 3767, 789, 723, 3254, 602, 693, 2547, 835, 540, 891, 9190, 2249, 17723, 382, 373, 303, 539, 14385, 3956, 27019, 4345, 17723, 382, 373, 666, 948, 27738, 547, 7639, 269, 634, 2319, 9994, 539, 2699, 1532, 17977, 2892, 600, 32752, 547, 7669, 538, 513, 8602, 540, 713, 4551, 6830, 6851, 3108, 267, 543, 1287, 7783, 873, 609, 519, 24037, 17343, 269, 1879, 7318, 476, 1240, 2395, 2663, 267, 519, 2892, 600, 32752, 2016, 519, 9190, 8602, 26200, 5176, 476, 1789, 260, 811, 2693, 547, 723, 7759, 2933, 540, 519, 16507, 26529, 982, 941, 519, 15860, 2831, 269, 20831, 1179, 12885, 602, 519, 321, 1461, 1756, 568, 4440, 1818, 513, 2067, 15084, 269, 1261, 4080, 1010, 29798, 693, 513, 5870, 593, 17973, 543, 5726, 693, 519, 1977, 7467, 1993, 7849, 3778, 538, 1715, 3840, 593, 476, 2918, 4989, 269, 6271, 24059, 267, 1572, 28342, 14137, 553, 2746, 753, 267, 2965, 1500, 519, 338, 15401, 32752, 811, 11630, 547, 519, 17343, 267, 5310, 1317, 621, 19774, 10585, 267, 3968, 1922, 18017, 4551, 689, 519, 2960, 269, 20831, 5267, 602, 2825, 17613, 971, 607, 2916, 1689, 610, 335, 3326, 1081, 1522, 1689, 606, 19917, 1014, 781, 2146, 540, 2960, 4551, 269, 634, 560, 5962, 2831, 1522, 1118, 1447, 2960, 22024, 267, 593, 799, 519, 4551, 3049, 267, 528, 789, 949, 1118, 811, 2566, 10399, 267, 799, 1131, 5000, 1114, 321, 17424, 2249, 269, 1401, 19397, 12219, 27738, 547, 519, 17343, 1922, 18017, 4551, 267, 5310, 2421, 4946, 621, 547, 22253, 610, 4609, 602, 789, 7928, 267, 1522, 948, 547, 10941, 13135, 540, 519, 2551, 7771, 267, 20831, 5267, 269, 2060, 1906, 824, 3681, 19989, 267, 713, 4640, 568, 4502, 13197, 267, 646, 3081, 281, 834, 2005, 781, 519, 1152, 2251, 602, 781, 6035, 513, 1350, 20810, 540, 4126, 2668, 834, 296, 1589, 621, 781, 513, 1360, 9621, 1858, 602, 2115, 547, 581, 22002, 2437, 3081, 299, 537, 1047, 24305, 1231, 4149, 19431, 267, 945, 2090, 19917, 1014, 6375, 1108, 693, 966, 6387, 321, 2830, 17206, 538, 27850, 6807, 267, 17906, 269, 834, 2005, 781, 971, 606, 1271, 5726, 2889, 12378, 269, 7102, 1344, 593, 513, 7271, 602, 1223, 2149, 873, 568, 1998, 340, 762, 1701, 5221, 621, 568, 15458, 875, 1279, 519, 1198, 540, 519, 4551, 786, 2063, 32586, 17973, 1522, 723, 547, 581, 5189, 1586, 543, 1586, 269, 634, 2856, 568, 28330, 547, 519, 32714, 1426, 543, 10425, 602, 930, 9082, 342, 9994, 547, 2119, 543, 1689, 519, 2146, 540, 17973, 2713, 538, 741, 326, 7491, 269, 2368, 3173, 616, 849, 547, 3539, 609, 519, 2856, 540, 3384, 22238, 7821, 585, 1480, 2960, 269, 11525, 7821, 723, 849, 1044, 1031, 538, 29867, 268, 538, 3165, 1426, 610, 3274, 538, 519, 1216, 910, 547, 2119, 543, 2333, 11729, 269, 20831, 1631, 4566, 547, 12840, 609, 9164, 538, 4993, 547, 1449, 31347, 519, 32714, 14014, 519, 13738, 5835, 6122, 13949, 13855, 630, 305, 534, 600, 19895, 6242, 1070, 606, 13155, 2249, 602, 2356, 13151, 29304, 547, 519, 17343, 269, 22108, 476, 272, 269, 20831, 681, 269, 715, 1421, 6276, 570, 269, 962, 1421, 700, 21516, 589, 1421, 17363, 631, 269, 589, 269, 1299, 4793, 601, 288, 269, 1547, 19889, 10890, 267, 476, 274, 1547, 476, 7871, 910, 476, 6321, 630, 1220, 277, 1040, 0, 288, 638, 10042, 267, 513, 26424, 7298, 689, 519, 8832, 25955, 269, 634, 2012, 1797, 834, 324, 14410, 1701, 634, 4279, 681, 3424, 540, 519, 27305, 10158, 630, 320, 4158, 1858, 538, 519, 6505, 6512, 540, 6801, 264, 10596, 998, 13985, 10042, 269, 634, 678, 3424, 568, 3361, 676, 4158, 683, 12712, 2801, 630, 743, 10796, 540, 7452, 538, 2230, 264, 602, 12404, 519, 6801, 3297, 873, 269, 634, 6505, 652, 5182, 538, 13985, 10042, 568, 16816, 1515, 267, 519, 476, 1321, 628, 6505, 652, 5182, 538, 519, 6607, 563, 288, 3122, 1355, 26797, 5749, 1405, 3833, 519, 10053, 4610, 540, 17254, 4842, 18343, 7725, 602, 596, 949, 723, 2938, 538, 513, 834, 30252, 12668, 257, 4670, 267, 855, 789, 2811, 1869, 4241, 269, 769, 1249, 267, 519, 1292, 20503, 12966, 949, 2995, 721, 875, 938, 3003, 3859, 1062, 3357, 883, 6228, 563, 26422, 4944, 1824, 616, 15116, 4158, 2127, 602, 1397, 909, 5781, 593, 519, 2627, 540, 519, 3141, 4534, 543, 1419, 585, 1100, 2601, 269, 1548, 3123, 873, 286, 1548, 1198, 1223, 891, 16168, 2370, 9634, 723, 593, 519, 3047, 286, 0, 323, 19342, 11718, 5249, 607, 6240, 540, 2484, 611, 599, 781, 1876, 540, 454, 19491, 11424, 1198, 269, 1889, 22817, 1648, 568, 10736, 547, 454, 19491, 3740, 1648, 20193, 666, 588, 1563, 547, 546, 6983, 3761, 1775, 4318, 269, 476, 1321, 341, 31377, 2190, 341, 6185, 5861, 3761, 547, 25690, 543, 1310, 4358, 621, 3132, 454, 288, 5861, 269, 3761, 269, 25811, 1152, 946, 607, 513, 6305, 544, 1478, 563, 8923, 6435, 16840, 1635, 5403, 532, 12226, 1280, 12989, 5999, 454, 1432, 568, 519, 2010, 540, 10226, 5179, 4152, 454, 1692, 547, 960, 661, 11482, 5861, 11065, 543, 875, 547, 1921, 538, 5547, 563, 6343, 568, 7756, 1063, 31167, 710, 541, 543, 1133, 559, 523, 1512, 888, 6343, 666, 581, 519, 3123, 540, 19218, 1376, 5179, 2348, 513, 454, 327, 27941, 1699, 602, 922, 4890, 454, 1103, 24293, 3060, 519, 2707, 568, 10480, 689, 454, 272, 1439, 1312, 7475, 693, 3844, 454, 23955, 1299, 11393, 540, 20698, 3101, 543, 3056, 1379, 454, 3963, 1058, 649, 16926, 596, 936, 519, 1866, 7996, 547, 581, 5967, 888, 15290, 621, 568, 2009, 737, 341, 19207, 1291, 1299, 4909, 737, 3369, 581, 3160, 454, 514, 1528, 4577, 959, 633, 2758, 7397, 630, 274, 943, 994, 3674, 328, 3044, 540, 12743, 1377, 2838, 1315, 547, 581, 544, 7159, 7134, 538, 454, 18528, 5166, 2324, 1747, 2489, 1299, 538, 1257, 320, 850, 2872, 563, 3674, 972, 513, 7872, 547, 946, 971, 513, 512, 11611, 6453, 585, 454, 1492, 28679, 5308, 851, 540, 513, 18328, 5308, 5547, 602, 1282, 519, 15175, 454, 527, 786, 1376, 10647, 1152, 1310, 519, 6751, 5308, 851, 786, 581, 454, 531, 2819, 6806, 267, 676, 713, 14874, 519, 13451, 8354, 1699, 888, 8923, 4063, 267, 594, 6415, 711, 6998, 827, 519, 1134, 9186, 538, 1796, 2421, 454, 332, 1712, 267, 855, 827, 519, 834, 656, 850, 752, 8354, 257, 3800, 1282, 3339, 454, 9281, 594, 918, 301, 8582, 5990, 25758, 288, 5508, 595, 4629, 7704, 22444, 3582, 5508, 15578, 654, 296, 3918, 2073, 654, 2969, 307, 17803, 5508, 454, 15578, 29486, 4696, 2073, 309, 5357, 307, 17803, 590, 16810, 12195, 312, 18040, 2969, 22558, 717, 4353, 5058, 9215, 5990, 29486, 4696, 6730, 9338, 12569, 454, 303, 8582, 2207, 674, 16898, 3036, 5508, 29486, 4696, 23099, 1862, 14298, 717, 25893, 19294, 11123, 18040, 2969, 7537, 5495, 18199, 5508, 454, 290, 7838, 305, 7728, 594, 15562, 5495, 17162, 2475, 292, 18040, 2975, 295, 570, 312, 14154, 5508, 595, 21764, 888, 1692, 519, 7406, 2450, 540, 513, 1166, 1052, 15841, 8028, 15632, 5179, 568, 454, 6011, 547, 1265, 856, 2596, 3017, 1063, 661, 9448, 289, 267, 10157, 289, 6730, 681, 6717, 289, 593, 7487, 519, 2326, 888, 272, 269, 1772, 621, 2838, 547, 2482, 1079, 8255, 540, 22542, 5911, 2059, 454, 5976, 14022, 10696, 700, 307, 10814, 952, 621, 568, 9788, 1063, 835, 2462, 1292, 338, 454, 263, 8287, 8649, 1186, 570, 14149, 590, 5263, 264, 547, 1507, 1292, 630, 3953, 288, 570, 14149, 590, 5263, 264, 609, 1697, 454, 273, 269, 1403, 519, 6186, 10696, 10814, 609, 1697, 14189, 532, 568, 9788, 689, 454, 24174, 547, 18981, 3684, 267, 568, 621, 2838, 547, 2196, 1079, 8255, 540, 1560, 454, 792, 2251, 547, 519, 10724, 689, 24766, 888, 274, 28560, 519, 6186, 10696, 10814, 609, 1697, 14189, 532, 568, 9788, 454, 5228, 15240, 566, 547, 670, 30865, 267, 3845, 568, 4114, 269, 476, 1911, 544, 339, 3464, 267, 568, 454, 527, 2838, 547, 798, 1274, 2251, 693, 6300, 1858, 1498, 519, 3119, 454, 3410, 1588, 693, 2655, 566, 568, 552, 691, 1117, 998, 14189, 269, 0, 2224, 538, 13663, 6604, 1862, 2224, 540, 5127, 24437, 4389, 9019, 1851, 1453, 676, 476, 1839, 2600, 269, 16170, 24437, 666, 581, 18233, 855, 1590, 581, 556, 2389, 8972, 609, 5521, 8336, 827, 1169, 476, 277, 1700, 1321, 3275, 267, 4470, 593, 519, 4908, 540, 11067, 269, 7043, 18835, 5521, 8336, 2389, 8972, 24437, 630, 17247, 2562, 338, 1070, 538, 799, 5521, 8336, 3029, 513, 15098, 1472, 519, 2121, 779, 26939, 610, 568, 11368, 883, 519, 26939, 267, 666, 581, 1031, 585, 693, 2547, 1614, 1296, 1354, 2483, 16524, 18835, 5521, 8336, 2389, 8972, 2121, 454, 8245, 2952, 2253, 17511, 610, 946, 519, 11049, 2645, 1657, 547, 1039, 547, 713, 2376, 563, 5629, 596, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 24011, 256, 594, 1175, 8120, 689, 533, 5417, 1782, 513, 2370, 10935, 547, 519, 22253, 6532, 521, 1127, 1044, 1821, 10696, 22290, 9566, 543, 782, 519, 5798, 647, 22486, 856, 3819, 269, 1955, 711, 2386, 1018, 1223, 723, 2944, 602, 2073, 855, 513, 31352, 1774, 1131, 581, 1250, 1292, 14353, 563, 287, 588, 333, 602, 779, 1768, 1026, 569, 8909, 256, 594, 917, 713, 729, 476, 273, 1296, 3516, 855, 594, 6557, 1360, 20994, 547, 5873, 544, 2174, 320, 979, 846, 729, 7166, 609, 1200, 796, 9799, 9002, 543, 7654, 13099, 320, 979, 846, 269, 16593, 2685, 646, 3357, 1394, 609, 513, 1007, 7649, 286, 630, 296, 13842, 6217, 891, 8909, 2984, 264, 594, 2661, 593, 513, 10720, 543, 1185, 513, 2603, 540, 4516, 2520, 3150, 1394, 538, 476, 1001, 280, 270, 1708, 271, 855, 8068, 513, 7771, 538, 2338, 5063, 269, 630, 28775, 2685, 789, 6410, 547, 513, 1114, 10720, 264, 7831, 1032, 594, 1185, 513, 6292, 540, 2520, 3150, 6707, 6318, 741, 476, 277, 575, 657, 13530, 547, 15296, 693, 1250, 10720, 267, 594, 849, 1185, 513, 2582, 3993, 6318, 1200, 1079, 575, 657, 13530, 547, 3592, 15296, 267, 19890, 519, 3993, 3893, 16415, 543, 1200, 2370, 7911, 1185, 513, 12936, 7693, 269, 594, 3576, 1312, 547, 513, 7320, 4099, 543, 594, 1589, 789, 8694, 909, 1373, 2322, 1524, 1317, 789, 941, 865, 3983, 1055, 630, 2254, 2386, 1498, 267, 789, 2760, 3893, 1394, 609, 803, 593, 741, 4567, 264, 634, 2370, 8004, 15068, 543, 1631, 814, 513, 7649, 269, 3733, 10720, 568, 4904, 609, 2879, 6260, 16015, 267, 930, 18369, 267, 513, 1906, 1200, 976, 602, 31537, 519, 32132, 543, 2220, 753, 267, 986, 764, 3019, 779, 543, 31352, 4925, 269, 3371, 779, 519, 8909, 3377, 2507, 3807, 2063, 3018, 594, 1185, 513, 6292, 540, 2520, 3150, 6368, 9566, 593, 1250, 3959, 693, 519, 12647, 327, 648, 269, 594, 14478, 544, 2174, 320, 979, 846, 1118, 1200, 9566, 543, 1352, 9788, 476, 273, 5798, 538, 621, 269, 14466, 320, 9856, 539, 1200, 543, 519, 9566, 267, 602, 729, 593, 11016, 269, 594, 2132, 1753, 11728, 547, 1265, 544, 2174, 320, 543, 13099, 320, 979, 846, 24076, 267, 594, 1413, 693, 519, 9566, 543, 1265, 519, 1079, 5798, 18413, 476, 279, 3952, 689, 519, 9566, 609, 513, 1804, 8559, 593, 519, 5011, 647, 22486, 3819, 269, 594, 8068, 1079, 2520, 3150, 630, 2254, 2386, 952, 621, 729, 3158, 543, 19033, 264, 979, 909, 547, 519, 4212, 16115, 543, 3548, 930, 540, 519, 7387, 1287, 789, 2893, 2282, 519, 9566, 269, 634, 5256, 729, 1818, 9240, 753, 543, 27615, 660, 4992, 269, 594, 6557, 15691, 621, 729, 873, 543, 4986, 5949, 547, 519, 1079, 2520, 3150, 855, 922, 2182, 585, 803, 547, 2995, 873, 6306, 3006, 269, 594, 729, 2731, 3168, 4464, 547, 7487, 930, 9002, 713, 1032, 855, 689, 1018, 519, 12543, 723, 5143, 803, 267, 1945, 814, 1044, 21006, 782, 519, 20097, 1472, 519, 10720, 538, 519, 2063, 476, 273, 1296, 563, 2171, 723, 1044, 8384, 513, 6292, 585, 476, 1724, 1296, 543, 789, 723, 2760, 1044, 2111, 547, 6318, 741, 9002, 547, 15296, 269, 1358, 2356, 1152, 2063, 513, 3018, 693, 1655, 269, 1656, 789, 2356, 782, 14897, 782, 693, 2899, 711, 899, 596, 8910, 14353, 835, 1934, 267, 1079, 972, 267, 855, 782, 693, 2899, 269, 1284, 2661, 538, 20274, 543, 723, 513, 476, 273, 547, 476, 274, 23505, 11432, 609, 606, 6532, 269, 2290, 3364, 649, 723, 8068, 568, 1776, 6292, 4947, 543, 533, 6856, 532, 519, 1007, 1920, 1287, 782, 9002, 8854, 519, 1985, 1554, 269, 634, 1985, 14191, 11432, 1131, 581, 1932, 2484, 585, 519, 9002, 547, 3802, 547, 269, 901, 568, 3478, 865, 8909, 269, 0, 2252, 596, 616, 3168, 585, 519, 2626, 540, 875, 568, 7247, 1031, 267, 596, 4076, 3893, 519, 1318, 2985, 269, 1284, 723, 5111, 476, 1015, 14174, 304, 3823, 875, 568, 7247, 1031, 269, 3367, 621, 2630, 563, 6011, 798, 596, 1745, 827, 707, 1101, 1893, 286, 1879, 798, 454, 16485, 281, 875, 798, 596, 1745, 827, 707, 1101, 1893, 286, 1879, 798, 596, 946, 621, 286, 2060, 7247, 798, 596, 946, 621, 888, 296, 993, 6126, 609, 519, 1893, 594, 1031, 267, 594, 6557, 19914, 547, 581, 513, 27208, 269, 594, 946, 621, 547, 5968, 609, 824, 1004, 899, 1920, 543, 2828, 563, 1692, 547, 1031, 945, 4171, 7247, 799, 602, 454, 16485, 281, 1215, 547, 1031, 945, 4171, 7247, 799, 602, 454, 8005, 1107, 4016, 547, 513, 1268, 454, 1410, 269, 5808, 616, 596, 15017, 8005, 568, 602, 8004, 15017, 2662, 846, 1107, 4016, 547, 513, 8631, 270, 2251, 10362, 547, 513, 1268, 4586, 1410, 269, 1733, 846, 3440, 5155, 568, 713, 15017, 2662, 846, 23129, 568, 713, 15017, 7617, 1107, 1548, 267, 540, 1346, 5018, 610, 22466, 4586, 1410, 269, 6904, 835, 568, 8273, 15017, 7617, 835, 568, 1732, 15017, 2662, 558, 1107, 1548, 1268, 610, 1004, 282, 799, 1268, 610, 1004, 267, 607, 519, 1843, 540, 513, 8231, 563, 1410, 269, 1733, 558, 1705, 596, 2307, 15017, 2414, 7247, 621, 949, 8970, 1356, 333, 563, 6546, 1107, 606, 1843, 9706, 3205, 602, 596, 616, 15738, 547, 6902, 606, 1843, 610, 1268, 2484, 689, 596, 4586, 1410, 269, 1548, 568, 602, 15017, 3674, 602, 808, 10154, 15017, 25585, 568, 27727, 3730, 286, 543, 547, 7247, 888, 16485, 281, 1946, 568, 27727, 3730, 286, 543, 547, 7247, 888, 6781, 560, 3555, 2636, 721, 547, 1711, 513, 2489, 2856, 540, 1018, 519, 1966, 568, 543, 875, 547, 4194, 621, 563, 28775, 621, 2337, 2999, 274, 454, 272, 269, 901, 786, 2995, 721, 1018, 267, 875, 267, 1141, 543, 547, 454, 16485, 281, 476, 272, 269, 901, 786, 2995, 721, 1018, 267, 875, 267, 1141, 543, 547, 7247, 621, 786, 581, 2944, 563, 8005, 892, 543, 968, 15367, 1197, 892, 616, 16148, 21770, 282, 968, 3369, 558, 892, 543, 968, 3369, 727, 591, 892, 616, 538, 519, 6662, 2013, 269, 2334, 3274, 1797, 602, 968, 15367, 892, 630, 663, 519, 1482, 585, 968, 15367, 1197, 14615, 568, 2141, 1641, 547, 513, 8231, 267, 543, 602, 968, 3369, 558, 892, 630, 663, 519, 1482, 585, 968, 3369, 727, 591, 14615, 568, 2141, 2324, 607, 606, 1843, 538, 513, 4845, 269, 1306, 2241, 543, 1271, 607, 602, 11984, 568, 267, 1082, 1004, 723, 7411, 14045, 593, 519, 1697, 6165, 540, 968, 15367, 892, 543, 968, 3369, 558, 892, 538, 5220, 563, 1692, 798, 596, 917, 950, 547, 946, 834, 3369, 558, 257, 543, 834, 15367, 257, 888, 16485, 281, 1215, 798, 596, 917, 950, 547, 946, 968, 3369, 558, 892, 543, 968, 15367, 892, 888, 2662, 558, 1058, 581, 1031, 547, 3277, 547, 519, 1843, 540, 513, 8231, 610, 840, 6570, 269, 1879, 538, 8969, 267, 2119, 713, 2241, 8945, 281, 1403, 596, 666, 5372, 519, 2262, 609, 968, 515, 892, 685, 610, 968, 685, 9917, 2223, 946, 945, 269, 1403, 596, 666, 5372, 621, 609, 968, 29538, 892, 610, 968, 615, 2223, 946, 7247, 563, 8005, 1058, 581, 1031, 547, 3277, 547, 519, 1641, 540, 513, 4845, 563, 2662, 558, 1058, 581, 1031, 547, 3277, 547, 519, 1843, 540, 513, 8231, 610, 840, 6570, 563, 15290, 547, 946, 7247, 538, 513, 4845, 454, 16485, 281, 950, 547, 946, 7247, 538, 513, 4845, 454, 9767, 946, 621, 950, 596, 2328, 513, 4845, 602, 3568, 7247, 454, 9188, 9216, 875, 596, 723, 1031, 8666, 11049, 543, 998, 7247, 286, 5183, 298, 296, 454, 16485, 281, 4766, 875, 596, 723, 1031, 8666, 11049, 543, 998, 7247, 888, 5183, 298, 296, 590, 8980, 5588, 18161, 281, 18692, 8448, 4128, 547, 12575, 513, 8666, 1331, 21338, 6959, 630, 1042, 3750, 267, 4334, 267, 21386, 267, 3092, 13776, 4052, 24668, 267, 543, 547, 8945, 1004, 269, 17421, 11049, 568, 849, 1031, 547, 1118, 4625, 1007, 2592, 269, 17421, 11049, 568, 3006, 1572, 8666, 12879, 267, 2356, 950, 621, 568, 1031, 547, 8945, 1004, 563, 15862, 11049, 13315, 519, 3157, 540, 19249, 2592, 267, 2436, 789, 616, 3059, 11147, 267, 2757, 8666, 2275, 8707, 11147, 267, 610, 12383, 269, 2560, 3509, 3239, 11049, 3292, 616, 849, 1031, 547, 11904, 610, 1711, 2780, 1148, 689, 15072, 563, 7717, 787, 952, 708, 4636, 454, 2224, 1677, 7247, 538, 513, 4845, 563, 16485, 281, 946, 1677, 7247, 538, 513, 4845, 563, 3891, 4718, 519, 8188, 540, 1346, 7247, 646, 6068, 693, 1010, 14512, 11812, 563, 534, 23827, 894, 15749, 568, 946, 547, 2253, 513, 2243, 269, 946, 454, 16485, 281, 606, 23827, 894, 15749, 568, 946, 547, 2253, 513, 2243, 269, 946, 713, 2262, 269, 1018, 267, 799, 267, 945, 267, 7247, 267, 4171, 267, 1141, 267, 950, 267, 1946, 267, 875, 454, 1432, 568, 707, 1931, 888, 7617, 568, 519, 2953, 2626, 888, 8005, 568, 1352, 888, 2662, 846, 9126, 568, 621, 888, 8489, 616, 596, 888, 2691, 568, 519, 2063, 942, 649, 2743, 888, 3963, 1705, 596, 3111, 519, 981, 888, 1692, 568, 519, 7552, 547, 519, 11290, 454, 4415, 519, 5169, 540, 9119, 267, 3023, 1137, 2711, 1062, 729, 1031, 676, 3369, 558, 888, 16485, 281, 2060, 519, 5169, 540, 9119, 267, 3023, 1137, 2711, 1062, 729, 1031, 676, 454, 3369, 558, 286, 1215, 798, 596, 1031, 454, 2005, 12090, 609, 519, 3504, 5681, 518, 2103, 538, 519, 476, 274, 6113, 26992, 7460, 267, 729, 5293, 1524, 547, 519, 3504, 20770, 2103, 267, 543, 568, 1869, 1031, 24568, 513, 9168, 1106, 1765, 1721, 7893, 942, 267, 7285, 267, 543, 13664, 10974, 563, 8253, 1152, 596, 666, 1205, 519, 2626, 540, 875, 568, 7247, 1031, 267, 596, 1223, 849, 1265, 519, 4267, 540, 1215, 547, 1031, 267, 4766, 875, 596, 267, 875, 798, 596, 267, 946, 1677, 7247, 267, 543, 476, 272, 269, 901, 786, 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 ]
[ 4586, 736, 2073, 568, 476, 273, 9937, 1547, 865, 267, 1847, 909, 476, 273, 9343, 4586, 4133, 593, 476, 2004, 799, 568, 519, 3017, 16317, 9223, 476, 273, 563, 8196, 519, 1747, 17032, 7161, 269, 4855, 519, 3017, 563, 288, 476, 1015, 454, 289, 476, 736, 454, 290, 476, 1789, 454, 291, 476, 2412, 454, 29682, 589, 692, 15008, 10778, 2791, 991, 547, 10208, 476, 1789, 267, 799, 568, 476, 274, 9937, 563, 15899, 856, 476, 274, 9937, 563, 275, 9937, 1107, 476, 274, 9937, 815, 476, 272, 9937, 4586, 810, 267, 476, 2412, 1107, 476, 1789, 815, 476, 1015, 16317, 9223, 476, 274, 563, 8196, 519, 1930, 1297, 1899, 547, 4194, 269, 8058, 707, 960, 269, 11512, 875, 596, 1031, 519, 1297, 1899, 547, 1265, 519, 2626, 269, 476, 2568, 1107, 476, 736, 815, 12223, 692, 15008, 10778, 9359, 693, 476, 2568, 1547, 2422, 1747, 1871, 1491, 476, 736, 607, 476, 273, 2516, 540, 476, 1015, 4586, 12248, 1394, 476, 273, 476, 1015, 779, 689, 476, 2568, 4586, 933, 2244, 593, 476, 2412, 799, 568, 519, 3017, 16317, 9223, 476, 275, 563, 24169, 519, 1966, 269, 2422, 1022, 4640, 269, 11512, 1946, 596, 13603, 519, 4640, 269, 3503, 606, 1840, 3830, 547, 2638, 707, 2626, 563, 3583, 1107, 476, 2568, 815, 31233, 692, 15008, 10778, 9359, 693, 476, 3583, 1547, 2422, 1747, 1871, 1491, 476, 2568, 607, 476, 277, 2516, 540, 476, 1015, 4586, 12248, 1394, 476, 277, 476, 1015, 779, 689, 476, 3583, 4586, 933, 2244, 593, 476, 1015, 799, 568, 519, 3017, 16317, 9223, 476, 276, 563, 2537, 1107, 476, 1015, 25883, 15008, 10778, 2537, 568, 6719, 538, 4557, 7406, 4586, 1729, 10208, 476, 1015, 689, 476, 2537, 2347, 476, 272, 4557, 7406, 568, 6569, 454, 6533, 3017, 815, 476, 1724, 16317, 9223, 476, 277, 563, 11463, 1107, 476, 1015, 815, 31233, 692, 15008, 10778, 11463, 568, 6719, 538, 4557, 7406, 4586, 1729, 10208, 476, 1015, 689, 476, 11463, 2347, 476, 272, 4557, 7406, 568, 6569, 454, 6533, 3017, 815, 476, 10019, 16317, 9223, 476, 278, 563, 7906, 1107, 476, 1015, 815, 31233, 692, 15008, 10778, 2537, 568, 6719, 538, 4557, 7406, 4586, 1729, 10208, 476, 1015, 689, 476, 2537, 2347, 476, 272, 4557, 7406, 568, 6569, 454, 6533, 3017, 815, 476, 1724, 16317, 8196, 1840, 547, 4194, 1142, 12408, 1966, 780, 9223, 476, 279, 563, 2004, 1341, 31233, 815, 476, 3199, 267, 865, 476, 3199, 1107, 476, 2004, 815, 31233, 563, 2004, 1341, 476, 1789, 815, 476, 3199, 2676, 810, 476, 3199, 1107, 476, 2004, 815, 476, 1789, 16317, 9223, 476, 280, 563, 736, 1341, 6449, 815, 476, 2568, 267, 865, 476, 2568, 1107, 476, 736, 815, 31233, 563, 736, 1341, 476, 2412, 1109, 815, 476, 2568, 2676, 810, 476, 2568, 1107, 476, 736, 815, 476, 2412, 780, 9223, 476, 1015, 563, 288, 4558, 814, 476, 3445, 521, 1194, 338, 269, 898, 23619, 476, 1789, 521, 1194, 338, 269, 1215, 1082, 521, 1194, 338, 1281, 519, 4558, 723, 2451, 888, 2237, 606, 3830, 543, 4194, 269, 2422, 12400, 610, 3631, 547, 1397, 707, 960, 563, 13090, 521, 1194, 338, 454, 10831, 540, 521, 1194, 338, 815, 476, 3445, 4586, 10831, 540, 521, 1194, 338, 4421, 815, 476, 1789, 454, 7230, 8724, 7089, 540, 521, 1194, 338, 815, 476, 3445, 1107, 476, 1789, 815, 476, 2568, 16317, 293, 1042, 779, 12426, 454, 293, 1042, 23619, 1114, 5388, 693, 1010, 3484, 269, 1261, 12662, 873, 538, 15004, 540, 476, 1015, 780, 9223, 476, 272, 563, 293, 1042, 23619, 476, 274, 15004, 540, 3039, 18717, 269, 1215, 1082, 3039, 18717, 1281, 646, 723, 2451, 547, 6133, 286, 2422, 519, 1930, 1297, 1899, 547, 4194, 780, 1693, 3039, 3212, 13827, 454, 10831, 540, 18717, 538, 1142, 9126, 3568, 815, 476, 1015, 18717, 454, 13707, 1297, 540, 3039, 18717, 815, 476, 278, 11435, 4586, 10831, 540, 18717, 11435, 4421, 815, 476, 274, 11435, 4586, 10831, 540, 18717, 11435, 2451, 815, 476, 278, 1107, 476, 274, 815, 476, 275, 11435, 16317, 9223, 476, 273, 563, 293, 1042, 20555, 476, 1015, 17436, 547, 1010, 7504, 269, 1215, 1082, 17436, 1281, 646, 723, 2451, 888, 13090, 17436, 454, 10831, 540, 17436, 815, 476, 277, 11435, 454, 26421, 9126, 3568, 476, 1015, 17436, 4586, 10831, 540, 17436, 815, 476, 277, 6398, 476, 1015, 815, 476, 2568, 17436, 454, 10831, 540, 17436, 20555, 547, 21696, 815, 476, 1015, 454, 10831, 540, 17436, 2451, 815, 476, 2568, 1107, 476, 1015, 815, 476, 2004, 17436, 16317, 9223, 476, 274, 563, 293, 1042, 23619, 476, 1789, 12277, 593, 11728, 269, 1261, 23619, 519, 1964, 593, 13638, 269, 1215, 1082, 12277, 941, 4421, 593, 13638, 888, 8196, 519, 9864, 4627, 5750, 547, 4194, 519, 1966, 269, 3503, 519, 7508, 2338, 538, 519, 3830, 780, 13090, 12277, 454, 13707, 7089, 540, 12277, 815, 476, 2568, 454, 10831, 540, 12277, 4421, 593, 11728, 815, 476, 1789, 4586, 10831, 540, 12277, 4421, 593, 13638, 815, 7790, 815, 476, 2568, 1107, 476, 1789, 815, 476, 1789, 12277, 16317, 15008, 10778, 295, 4348, 5750, 568, 519, 1655, 585, 12408, 2042, 585, 9937, 1547, 621, 1175, 1847, 909, 476, 272, 4737, 585, 1169, 476, 1015, 649, 10208, 4586, 1789, 568, 476, 274, 9937, 1847, 909, 476, 274, 9343, 4586, 933, 1205, 476, 1789, 607, 519, 3017, 16317, 9223, 476, 275, 563, 5719, 6277, 773, 1207, 903, 476, 275, 15004, 540, 17436, 693, 519, 3484, 269, 2701, 3096, 476, 1015, 17436, 547, 1118, 17339, 269, 1215, 1082, 17436, 1281, 1352, 723, 2451, 286, 16534, 519, 1966, 269, 2422, 835, 540, 519, 2994, 596, 4121, 269, 8058, 875, 596, 12193, 519, 1966, 780, 13090, 17436, 454, 10831, 540, 17436, 538, 1142, 10189, 815, 476, 1015, 454, 10831, 540, 15004, 815, 476, 275, 454, 10831, 540, 17436, 538, 476, 275, 15004, 815, 476, 1015, 1341, 476, 1015, 1341, 476, 1015, 1341, 1015, 815, 476, 2412, 17436, 4586, 10831, 540, 17436, 1031, 585, 17339, 815, 476, 1015, 454, 10831, 540, 17436, 2451, 815, 476, 2412, 910, 1015, 815, 476, 1789, 17436, 16317, 295, 4348, 5750, 568, 1031, 547, 4194, 519, 1657, 1966, 16317, 9223, 476, 276, 563, 307, 344, 1207, 903, 476, 3607, 5388, 269, 10557, 1207, 903, 476, 1015, 7864, 5388, 982, 14977, 269, 1215, 1082, 5388, 1281, 10557, 4444, 2496, 8512, 589, 454, 1432, 4640, 1223, 596, 946, 547, 4194, 519, 1966, 286, 0, 15507, 2353, 540, 519, 4569, 17072, 1384, 21366, 6829, 538, 891, 1857, 15473, 616, 711, 31045, 676, 715, 6311, 300, 610, 634, 4569, 17072, 780, 30860, 281, 1284, 616, 1100, 3476, 16561, 1007, 9708, 267, 855, 519, 15473, 786, 3136, 547, 581, 28505, 780, 307, 8084, 281, 4855, 519, 3501, 4009, 14191, 547, 562, 3287, 1070, 1775, 1175, 1616, 519, 3501, 4009, 1657, 610, 2630, 1100, 17447, 269, 2052, 621, 581, 12193, 1210, 9511, 888, 28806, 281, 476, 278, 5231, 7831, 5403, 281, 8734, 476, 272, 267, 476, 1001, 274, 476, 279, 281, 7871, 6751, 692, 11619, 1137, 281, 1496, 19881, 1923, 8921, 23378, 808, 307, 24762, 281, 476, 272, 267, 275, 4366, 21362, 1229, 281, 476, 275, 270, 278, 270, 1321, 454, 3725, 281, 4855, 519, 3501, 4009, 14191, 547, 562, 3287, 1070, 1775, 1175, 1616, 519, 3501, 454, 338, 13645, 1657, 610, 2630, 1100, 17447, 269, 2052, 621, 581, 12193, 1210, 9511, 2496, 16829, 281, 8734, 476, 272, 267, 476, 1001, 274, 476, 1015, 281, 6734, 7537, 692, 291, 523, 535, 1042, 10402, 3954, 476, 272, 281, 324, 562, 4912, 476, 1001, 274, 737, 331, 269, 476, 6860, 281, 4905, 281, 7871, 27635, 266, 272, 1236, 516, 341, 5484, 645, 659, 541, 23579, 912, 285, 795, 517, 553, 269, 628, 1941, 341, 718, 287, 326, 21166, 2593, 11339, 912, 11417, 285, 2999, 338, 30876, 11417, 285, 692, 285, 3436, 24511, 5484, 1775, 723, 513, 2147, 602, 949, 581, 4443, 585, 596, 547, 1246, 2676, 11417, 285, 3436, 1022, 4009, 666, 581, 5258, 883, 476, 275, 1016, 10945, 269, 1656, 952, 649, 723, 513, 1297, 454, 11417, 285, 3436, 649, 666, 1265, 519, 476, 1015, 28682, 1657, 621, 543, 476, 1015, 28682, 268, 272, 2630, 621, 563, 285, 692, 11417, 285, 3436, 1924, 476, 1015, 28682, 568, 476, 272, 1631, 649, 666, 8359, 952, 649, 1616, 476, 271, 693, 1483, 4642, 610, 4642, 693, 454, 11417, 285, 3436, 4009, 476, 1015, 28682, 268, 272, 1403, 649, 3442, 519, 2663, 649, 2673, 538, 5488, 269, 3767, 519, 1858, 454, 11417, 285, 3436, 1063, 519, 14758, 543, 8273, 4009, 610, 952, 649, 946, 4642, 267, 666, 581, 454, 11417, 285, 3436, 4330, 607, 513, 6871, 5223, 540, 519, 4463, 563, 11417, 11417, 285, 590, 13446, 267, 594, 666, 1405, 1118, 2212, 6862, 2766, 540, 713, 563, 285, 692, 296, 1265, 621, 2182, 547, 581, 548, 633, 602, 513, 1236, 4068, 22301, 666, 711, 1174, 713, 6240, 563, 295, 16730, 13673, 9169, 645, 5456, 590, 12702, 22664, 645, 4953, 25446, 2894, 15382, 17920, 645, 5456, 4959, 681, 3198, 12283, 454, 306, 5720, 284, 3891, 697, 284, 15893, 265, 272, 267, 271, 630, 1015, 265, 1015, 8358, 1911, 284, 272, 269, 271, 540, 1858, 454, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 280, 630, 280, 265, 280, 8358, 1911, 284, 271, 269, 10037, 540, 1858, 454, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 279, 630, 279, 265, 279, 8358, 1911, 284, 271, 269, 5038, 4429, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 278, 630, 278, 265, 278, 8358, 1911, 284, 271, 269, 5392, 4429, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 277, 630, 277, 265, 277, 8358, 1911, 284, 271, 269, 3607, 4429, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 276, 630, 276, 265, 276, 8358, 1911, 284, 271, 269, 1839, 4429, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 275, 630, 275, 265, 275, 8358, 1911, 284, 271, 269, 1626, 4429, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 274, 630, 274, 265, 274, 8358, 1911, 284, 271, 269, 6021, 4429, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 273, 630, 273, 265, 273, 8358, 1911, 284, 271, 269, 6860, 4429, 306, 5720, 284, 3891, 697, 284, 15893, 265, 271, 267, 272, 630, 272, 265, 272, 8358, 1911, 284, 271, 269, 4905, 4429, 295, 16730, 5254, 11286, 15382, 17920, 590, 12702, 22664, 645, 4953, 25446, 2894, 15382, 17920, 6730, 645, 5456, 4959, 681, 3198, 12283, 454, 11417, 285, 2999, 338, 30876, 11417, 285, 692, 285, 3436, 634, 3501, 4009, 649, 1265, 568, 10208, 539, 689, 938, 1297, 543, 1631, 649, 454, 11417, 285, 3436, 960, 1482, 1935, 585, 713, 4130, 4009, 269, 901, 568, 7368, 2394, 519, 454, 11417, 285, 3436, 2407, 1297, 568, 23876, 547, 513, 3126, 540, 10945, 1341, 513, 1507, 8870, 1447, 454, 11417, 285, 3436, 1287, 476, 275, 563, 11417, 11417, 11417, 285, 8786, 267, 713, 3787, 594, 4312, 6956, 267, 855, 1946, 286, 1548, 781, 519, 1448, 540, 3257, 713, 888, 11417, 11417, 11417, 285, 2999, 338, 30876, 11417, 11417, 285, 4534, 454, 11417, 285, 5484, 780, 14630, 13595, 8191, 454, 1015, 270, 4029, 270, 1724, 5484, 645, 659, 541, 23579, 454, 1556, 270, 272, 270, 1724, 24023, 23101, 454, 1556, 270, 272, 270, 1724, 16559, 454, 1556, 270, 272, 270, 1724, 24023, 23101, 454, 1556, 270, 272, 270, 1724, 808, 307, 454, 1556, 270, 272, 270, 1724, 808, 307, 454, 1556, 270, 272, 270, 1724, 808, 307, 0, 258, 634, 7831, 6651, 547, 966, 26183, 10498, 16810, 1411, 3580, 17451, 10261, 692, 309, 26183, 10498, 16810, 568, 835, 540, 519, 1034, 1134, 8153, 9185, 3252, 1107, 543, 711, 1510, 2601, 2439, 309, 26183, 10498, 16810, 779, 1109, 324, 848, 540, 946, 543, 16134, 950, 968, 331, 8504, 909, 892, 1239, 568, 26080, 538, 9185, 780, 1892, 9320, 596, 1616, 547, 1451, 519, 9238, 540, 966, 26183, 10498, 16810, 1900, 8386, 9912, 888, 1892, 12344, 707, 966, 26183, 10498, 16810, 4542, 3884, 1406, 2324, 2496, 2252, 9811, 267, 1287, 1109, 9767, 4076, 2097, 547, 519, 1318, 1747, 2439, 1607, 568, 519, 17046, 3391, 547, 966, 26183, 10498, 16810, 780, 1012, 4635, 966, 26183, 10498, 16810, 692, 28317, 966, 26183, 10498, 16810, 3274, 5654, 585, 1945, 538, 513, 2039, 540, 2281, 543, 7024, 1945, 602, 779, 538, 519, 1482, 4737, 607, 519, 1871, 596, 616, 3168, 585, 14325, 763, 1152, 13946, 520, 568, 267, 602, 519, 7635, 18694, 814 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 912, 257, 12041, 2433, 623, 26696, 8585, 857, 518, 454, 21812, 2433, 7046, 10003, 1341, 717, 17311, 270, 4263, 23007, 454, 25835, 476, 1724, 2433, 476, 14028, 6812, 275, 280, 2537, 278, 454, 13707, 9664, 2433, 476, 275, 4366, 3817, 454, 9349, 28951, 2433, 476, 275, 269, 276, 270, 276, 630, 6812, 275, 4647, 994, 301, 697, 21541, 1677, 28988, 2548, 454, 12606, 13957, 21541, 1677, 28988, 2548, 2407, 2835, 538, 7300, 267, 3134, 889, 267, 543, 28632, 269, 3367, 2228, 13957, 21541, 1677, 28988, 2548, 19545, 9170, 20471, 2047, 593, 707, 3926, 269, 16258, 8281, 3432, 543, 1100, 30414, 18537, 269, 1284, 3112, 10018, 602, 1169, 552, 9248, 568, 2139, 2336, 12606, 610, 1224, 1433, 13957, 21541, 547, 28988, 2548, 2854, 676, 623, 26696, 8585, 857, 518, 543, 3370, 676, 7046, 10003, 1341, 717, 17311, 270, 4263, 23007, 269, 901, 1433, 729, 5950, 593, 476, 1220, 279, 268, 1015, 268, 5881, 609, 2698, 2985, 476, 275, 4366, 3817, 269, 12232, 538, 7300, 267, 21768, 18510, 543, 28632, 269, 3883, 21626, 281, 634, 1655, 18522, 3209, 540, 2648, 543, 15093, 896, 3673, 626, 4341, 267, 543, 968, 320, 1521, 585, 519, 2247, 269, 2290, 540, 519, 1655, 2835, 594, 723, 1224, 538, 513, 1279, 942, 892, 630, 3674, 8475, 2353, 29868, 1040, 681, 2727, 1495, 15535, 528, 3780, 267, 513, 7548, 540, 4666, 4654, 693, 513, 18230, 6281, 1153, 267, 2729, 513, 1272, 18170, 676, 6296, 269, 3973, 267, 606, 28430, 14082, 4807, 13489, 338, 1010, 1719, 538, 606, 21372, 267, 543, 2247, 7721, 335, 21505, 1433, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5719, 24554, 13659, 257, 607, 851, 540, 834, 24086, 3951, 17614, 13543, 1315, 3778, 1315, 12634, 630, 3707, 276, 268, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 998, 942, 256, 1284, 2811, 827, 547, 2263, 519, 4241, 1158, 540, 1686, 267, 1141, 649, 1451, 827, 1004, 267, 2621, 267, 543, 4529, 689, 1279, 3516, 269, 1635, 4974, 1686, 267, 649, 666, 1174, 875, 519, 2250, 814, 8032, 938, 2413, 1158, 543, 1256, 1020, 1271, 1983, 899, 2565, 3206, 543, 2792, 269, 4653, 267, 1577, 781, 4685, 883, 519, 1650, 540, 519, 2136, 2276, 543, 3605, 922, 6909, 3460, 2439, 2162, 1548, 1772, 772, 2529, 269, 3778, 2496, 308, 2529, 269, 1686, 568, 519, 1353, 540, 519, 2621, 267, 7835, 267, 543, 2833, 540, 519, 1004, 945, 723, 5030, 538, 1018, 568, 1631, 1634, 607, 519, 2136, 2276, 267, 689, 5553, 3516, 909, 2394, 2221, 269, 5994, 1373, 835, 540, 519, 1101, 3864, 17701, 21945, 593, 1977, 24528, 267, 5870, 7111, 4892, 267, 543, 26164, 5318, 7733, 543, 7164, 3338, 269, 2107, 19424, 3054, 11836, 519, 4339, 585, 7115, 7258, 12703, 2367, 543, 2021, 899, 6723, 6115, 543, 7338, 16962, 1282, 519, 21829, 2782, 269, 16514, 2324, 2182, 593, 513, 3484, 538, 519, 29268, 1282, 519, 13524, 2540, 267, 7680, 1312, 15112, 11244, 8090, 543, 4101, 2053, 269, 1452, 2984, 543, 865, 1082, 811, 616, 851, 540, 772, 2529, 269, 1686, 780, 2026, 596, 2951, 1394, 538, 942, 609, 721, 267, 596, 3580, 7237, 1585, 4798, 971, 607, 3408, 267, 4838, 267, 11776, 267, 22713, 267, 3540, 2924, 267, 10617, 267, 543, 6639, 7760, 269, 3962, 6249, 2337, 5862, 513, 12667, 4605, 540, 1114, 21971, 2429, 3013, 781, 15415, 780, 2162, 4208, 5530, 772, 2529, 269, 3778, 2496, 6597, 3539, 772, 2529, 269, 1686, 2636, 721, 547, 1294, 875, 2043, 543, 2516, 8329, 547, 2679, 713, 1390, 4182, 269, 898, 11414, 721, 827, 519, 2418, 267, 4978, 267, 543, 9620, 540, 1346, 945, 3357, 1354, 721, 543, 21490, 519, 1259, 585, 2104, 5481, 269, 3414, 3140, 2079, 267, 649, 2744, 4030, 883, 875, 7239, 1689, 936, 942, 267, 799, 5012, 721, 547, 2307, 2055, 543, 3343, 4267, 827, 938, 1378, 5107, 538, 2486, 780, 11101, 267, 1565, 827, 1686, 2306, 721, 1732, 2518, 4961, 269, 1879, 649, 917, 827, 519, 18454, 543, 14286, 540, 519, 2250, 267, 621, 6087, 721, 547, 5660, 3309, 5380, 543, 1628, 13123, 1063, 1114, 4529, 269, 901, 1620, 11942, 6568, 543, 2463, 1851, 1004, 267, 4543, 1711, 6793, 2950, 780, 15563, 267, 676, 6313, 3119, 2959, 630, 25269, 3701, 267, 2592, 267, 13742, 264, 2451, 3297, 676, 3140, 5515, 267, 649, 24917, 1898, 1983, 899, 2542, 8223, 267, 2565, 3206, 267, 543, 2500, 2792, 1765, 12921, 1571, 3810, 12595, 538, 1022, 3924, 780, 2162, 8342, 5517, 692, 12441, 596, 917, 602, 18148, 15284, 729, 15747, 538, 6427, 532, 536, 604, 5914, 14296, 286, 1261, 5916, 1079, 14485, 1107, 835, 585, 7487, 2484, 2476, 543, 1776, 585, 2673, 3615, 1107, 883, 513, 2582, 6292, 540, 4715, 8163, 269, 13185, 827, 1617, 527, 27965, 256, 3807, 4952, 952, 646, 22821, 1405, 17646, 651, 1042, 1472, 282, 6148, 649, 1131, 1869, 581, 2695, 842, 532, 693, 1507, 1820, 2439, 3086, 602, 596, 4312, 4121, 1946, 772, 2529, 269, 1686, 6927, 543, 4810, 930, 1187, 5013, 2059, 519, 1259, 267, 1205, 4712, 547, 7832, 593, 707, 1360, 1378, 7045, 998, 942, 269, 1411, 2760, 917, 1018, 11580, 596, 1522, 10625, 610, 1018, 11121, 8941, 24098, 1175, 3564, 519, 16880, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 298, 7568, 8083, 657, 8065, 267, 18740, 476, 31746, 454, 763, 3778, 4972, 3091, 513, 3102, 1982, 538, 2136, 2276, 1686, 543, 519, 1686, 540, 824, 4525, 543, 6082, 543, 22316, 1053, 547, 1831, 2565, 17024, 267, 2178, 3868, 2209, 267, 543, 5483, 4961, 945, 1039, 1713, 1871, 547, 741, 28737, 543, 2950, 269, 634, 4972, 13384, 832, 519, 10910, 334, 10910, 334, 3848, 540, 1912, 328, 24488, 634, 3279, 2817, 3778, 27254, 5980, 563, 297, 659, 984, 589, 269, 2098, 636, 4752, 267, 17348, 17367, 454, 10112, 1539, 622, 7905, 540, 3778, 454, 305, 583, 7970, 2160, 267, 645, 6993, 5919, 2160, 540, 5507, 267, 1912, 6185, 563, 17206, 540, 27213, 6807, 267, 645, 6993, 5919, 2160, 540, 16855, 267, 631, 6993, 1421, 1912, 6185, 563, 10112, 1539, 622, 7905, 540, 3778, 454, 17098, 1090, 5441, 267, 645, 6993, 5919, 18518, 3557, 2160, 267, 631, 6993, 5919, 31257, 631, 749, 517, 2160, 267, 631, 6993, 1421, 1912, 6185, 563, 26452, 9015, 10391, 9830, 602, 786, 5965, 1053, 585, 2789, 4610, 540, 7694, 610, 2127, 540, 3606, 15938, 270, 12392, 1353, 616, 7074, 2630, 269, 6092, 4170, 585, 1142, 5834, 616, 6045, 538, 1469, 269, 634, 4170, 585, 22692, 267, 538, 1840, 547, 524, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 606, 3078, 3460, 998, 942, 256, 1284, 2811, 827, 547, 2263, 875, 1004, 723, 1044, 6273, 676, 519, 5664, 12698, 1107, 513, 1974, 538, 1686, 17364, 5111, 519, 1296, 476, 4335, 547, 476, 5611, 271, 5084, 1107, 538, 2413, 3332, 543, 2923, 2813, 585, 1762, 4079, 269, 901, 1523, 568, 1572, 834, 4364, 8148, 1143, 2437, 799, 4016, 547, 519, 1259, 5159, 267, 5830, 267, 543, 15888, 2721, 2390, 2609, 689, 519, 5664, 12698, 543, 6451, 873, 883, 741, 4207, 1568, 269, 2913, 781, 4685, 1318, 538, 2439, 5331, 596, 2811, 2542, 513, 9159, 3209, 1141, 29843, 2149, 25267, 267, 9059, 568, 1483, 267, 543, 22645, 865, 541, 998, 519, 22839, 269, 6496, 713, 3280, 5432, 286, 1452, 2010, 540, 2984, 1419, 1491, 6667, 689, 519, 5664, 12698, 267, 513, 942, 950, 15438, 267, 30842, 267, 28151, 267, 543, 669, 2526, 787, 941, 851, 540, 4948, 1272, 269, 3509, 4589, 946, 891, 4241, 3140, 3344, 607, 513, 5748, 585, 741, 3860, 10600, 1247, 4946, 9589, 610, 28531, 23538, 780, 3080, 2442, 1383, 540, 10120, 1143, 538, 1762, 2937, 3332, 568, 519, 3131, 1097, 12722, 3126, 676, 25599, 681, 328, 14493, 269, 4014, 621, 781, 1759, 593, 5259, 13299, 267, 519, 3126, 2934, 1629, 580, 16104, 11504, 513, 4832, 3786, 543, 2469, 593, 1391, 338, 267, 1454, 899, 2695, 2231, 4742, 29843, 1282, 519, 5664, 12698, 269, 634, 2835, 9192, 3504, 14868, 609, 2413, 9423, 2553, 267, 3246, 3988, 609, 606, 27093, 11100, 540, 2250, 543, 1459, 780, 5194, 1858, 1141, 649, 1294, 10120, 7506, 568, 538, 9413, 543, 7641, 2982, 269, 1280, 3236, 267, 519, 5734, 19347, 4670, 1215, 547, 21541, 2659, 22900, 14405, 8185, 689, 10120, 4798, 269, 16992, 2661, 538, 14252, 25167, 676, 11308, 6821, 267, 8038, 593, 519, 19758, 540, 15743, 15274, 267, 543, 4497, 538, 13858, 19666, 12959, 269, 1635, 6220, 10120, 2609, 267, 891, 2984, 1711, 15138, 2833, 602, 3560, 721, 547, 1114, 2053, 543, 4025, 780, 3086, 1577, 781, 1589, 3564, 2835, 543, 13819, 269, 5620, 596, 2479, 4862, 2576, 3277, 547, 1945, 607, 1373, 834, 4364, 8148, 22172, 1358, 1522, 1611, 621, 781, 2025, 1922, 5831, 539, 610, 16970, 267, 10452, 1978, 11475, 827, 519, 5664, 12698, 269, 1717, 267, 1082, 3344, 540, 713, 5736, 267, 971, 607, 5480, 569, 2648, 543, 9316, 1851, 27998, 267, 666, 4001, 721, 3407, 4245, 827, 11587, 267, 2463, 267, 543, 2146, 269, 1306, 8049, 6267, 267, 3695, 1312, 2318, 543, 2942, 28402, 540, 519, 5664, 12698, 2636, 721, 547, 1732, 1174, 922, 1764, 593, 938, 1158, 2221, 780, 2026, 2104, 5640, 267, 18167, 4514, 883, 10120, 1143, 849, 1797, 6236, 1585, 5380, 543, 12496, 269, 20551, 267, 5830, 267, 543, 15888, 3142, 741, 2189, 16752, 543, 12886, 950, 789, 556, 574, 2602, 10120, 2035, 269, 18964, 2565, 3206, 2337, 721, 5660, 519, 6988, 3297, 891, 14624, 543, 5431, 1946, 789, 3136, 547, 13469, 609, 9458, 5553, 1310, 519, 4890, 5664, 12698, 8694, 780, 1103, 3932, 267, 10120, 1143, 20217, 721, 547, 7832, 593, 6909, 9035, 998, 942, 267, 12423, 875, 519, 6891, 540, 519, 5664, 12698, 2729, 593, 538, 2413, 3332, 267, 8874, 267, 543, 8613, 2982, 30630, 2509, 1762, 4079, 269, 1635, 6313, 891, 4296, 267, 649, 10802, 938, 1620, 540, 1686, 543, 8300, 938, 5876, 2059, 519, 1259, 269, 8414, 29293, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 290, 8712, 949, 581, 585, 10554, 8470, 7589, 267, 4760, 4930, 267, 1433, 11271, 267, 610, 1433, 3126, 269, 7490, 6494, 707, 7125, 585, 22347, 3827, 547, 2274, 1695, 670, 4381, 630, 14140, 4067, 17106, 11333, 3820, 1916, 2690, 811, 1344, 593, 4959, 15551, 779, 5993, 10554, 267, 5225, 3643, 938, 10554, 2985, 563, 8469, 8148, 1143, 3883, 10022, 454, 288, 15196, 323, 749, 1299, 30179, 518, 3126, 602, 6663, 547, 1683, 513, 8468, 585, 1395, 21106, 543, 10070, 13991, 547, 519, 24567, 543, 3810, 6422, 3818, 16162, 9918, 2361, 540, 10120, 1143, 2090, 281, 602, 568, 267, 960, 14236, 519, 3310, 543, 5920, 540, 968, 1492, 10120, 892, 538, 519, 2486, 543, 2528, 540, 2663, 6502, 563, 763, 476, 6795, 628, 4139, 6837, 593, 19744, 5525, 786, 581, 4371, 538, 28628, 14474, 593, 2904, 476, 280, 268, 1556, 267, 476, 1708, 275, 563, 5472, 4959, 15551, 23032, 7886, 786, 581, 6552, 543, 22347, 3827, 616, 1813, 676, 476, 280, 270, 1428, 270, 2537, 563, 28765, 22723, 32212, 296, 14110, 3201, 3041, 5960, 630, 258, 5392, 273, 275, 2567, 623, 4338, 2207, 623, 3198, 5085, 454, 1607, 5691, 270, 8145, 1774, 8400, 15109, 519, 1599, 540, 519, 19744, 538, 8479, 16989, 9085, 543, 9012, 269, 6787, 1427, 32478, 540, 14880, 1014, 610, 824, 10120, 2984, 267, 2984, 1305, 538, 519, 681, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 786, 581, 4843, 538, 513, 13801, 543, 1931, 569, 6073, 2509, 513, 1978, 2990, 11053, 4885, 540, 14430, 281, 21261, 270, 26855, 2163, 894, 563, 763, 1482, 568, 3020, 538, 707, 1603, 269, 1215, 798, 594, 9585, 713, 888, 2414, 2232, 519, 824, 2427, 540, 519, 4661, 596, 1544, 547, 1118, 267, 596, 3513, 991, 547, 834, 1584, 3054, 538, 741, 10887, 1701, 769, 824, 1913, 267, 21261, 894, 1603, 991, 547, 2119, 547, 1174, 1141, 789, 2811, 4947, 689, 269, 1403, 596, 2811, 2348, 8373, 6104, 5109, 713, 4305, 267, 2119, 563, 22826, 21261, 894, 5675, 5675, 568, 513, 1184, 5473, 2673, 2542, 267, 23730, 267, 3384, 606, 4661, 267, 1106, 6819, 513, 17396, 2497, 267, 543, 26004, 543, 2847, 2358, 563, 763, 1344, 2630, 2337, 596, 1445, 593, 3450, 1142, 851, 540, 519, 1603, 1184, 547, 707, 1053, 269, 21261, 894, 1603, 568, 513, 9135, 540, 1557, 1603, 267, 1141, 519, 5856, 568, 2838, 547, 2445, 543, 5659, 1344, 543, 3442, 513, 29459, 593, 519, 1382, 1888, 563, 763, 12819, 1557, 949, 581, 11821, 693, 2053, 609, 16878, 1603, 269, 1215, 547, 3503, 606, 21261, 894, 4828, 769, 606, 12819, 1557, 267, 596, 1616, 547, 18609, 2576, 547, 3858, 609, 707, 2856, 610, 6644, 267, 1210, 1382, 2861, 2963, 269, 5675, 606, 12819, 1557, 568, 513, 5578, 602, 4896, 538, 1153, 2115, 547, 917, 267, 1498, 621, 666, 581, 3730, 3544, 540, 519, 4928, 267, 607, 1134, 563, 1607, 4928, 2389, 6479, 1770, 786, 1491, 596, 543, 707, 1053, 998, 519, 1184, 540, 4058, 267, 26004, 267, 2847, 2358, 267, 543, 1135, 5109, 606, 12819, 630, 528, 10388, 264, 1557, 563, 763, 1101, 1906, 2395, 616, 11295, 267, 2898, 11665, 4245, 269, 2991, 602, 267, 519, 1362, 7575, 883, 513, 3126, 540, 5856, 781, 13186, 2395, 607, 1053, 2347, 9910, 268, 1652, 976, 543, 960, 593, 3384, 563, 763, 12819, 1557, 568, 4122, 8655, 607, 513, 1698, 7723, 610, 3803, 1788, 538, 1101, 1032, 1603, 610, 4359, 5888, 6030, 543, 3322, 17890, 267, 2143, 1382, 563, 2750, 1842, 7480, 3594, 4125, 1447, 1382, 543, 616, 10156, 538, 3259, 6185, 5877 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4126, 563, 2026, 811, 543, 811, 7986, 5515, 2911, 15597, 827, 741, 4633, 2152, 267, 649, 2461, 4098, 547, 1451, 811, 827, 891, 2010, 540, 4713, 1247, 849, 7006, 2454, 519, 14868, 4478, 3797, 563, 7197, 16113, 267, 5518, 15608, 24068, 6340, 856, 827, 3395, 909, 609, 513, 588, 13616, 814, 5280, 9118, 1977, 1453, 1745, 811, 29014, 827, 741, 1378, 6340, 543, 2792, 2591, 563, 24359, 28714, 281, 25587, 4658, 5808, 4076, 853, 18636, 1229, 454, 3719, 513, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 7981, 4065, 1315, 4004, 545, 894, 15136, 1315, 12071, 1890, 15136, 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, 8080, 267, 5664, 3427, 4841, 2439, 5970, 596, 2479, 4862, 827, 21911, 286, 898, 781, 513, 1259, 602, 2790, 1072, 4648, 946, 547, 948, 1004, 945, 616, 10010, 609, 3929, 610, 8965, 7965, 269, 1703, 616, 1082, 2010, 540, 2618, 6139, 1905, 625, 267, 1142, 835, 1210, 1114, 2553, 543, 2409, 269, 4653, 267, 649, 786, 1451, 827, 23398, 8890, 6776, 31499, 630, 293, 4338, 1070, 799, 568, 1759, 593, 1945, 1572, 2623, 1143, 269, 5213, 1406, 5855, 952, 891, 2474, 3280, 7294, 1765, 933, 786, 2736, 873, 1524, 1927, 2439, 6826, 8326, 1143, 568, 513, 3069, 538, 6530, 602, 6212, 593, 875, 938, 5615, 616, 4121, 998, 4205, 609, 938, 1604, 269, 5994, 596, 5905, 513, 3905, 23041, 543, 1205, 14616, 282, 4166, 2614, 267, 596, 1451, 711, 547, 5905, 621, 1586, 1317, 540, 602, 11213, 1995, 269, 2334, 781, 513, 2241, 1383, 540, 1565, 998, 4539, 538, 707, 1604, 267, 799, 568, 693, 519, 2295, 540, 2623, 1143, 269, 674, 4338, 3217, 713, 2856, 2417, 676, 6313, 875, 938, 3347, 666, 3310, 938, 4664, 543, 3527, 780, 3086, 267, 1577, 781, 4685, 883, 23398, 8890, 6776, 31499, 630, 293, 4338, 1040, 901, 1826, 540, 3797, 2337, 2043, 1174, 741, 16609, 3270, 538, 1483, 3734, 3871, 267, 3226, 1346, 5473, 2178, 4664, 899, 10845, 267, 18354, 267, 610, 4250, 269, 1635, 9301, 891, 3270, 267, 7218, 666, 1287, 960, 2509, 4657, 873, 609, 5583, 689, 741, 13309, 269, 674, 4338, 16293, 2628, 2673, 3007, 547, 1018, 4523, 1282, 7886, 1063, 2933, 543, 519, 7817, 269, 1358, 1413, 585, 8320, 1141, 519, 7817, 1522, 581, 7680, 2147, 4606, 610, 1969, 532, 13974, 547, 875, 789, 798, 3544, 540, 8400, 269, 1452, 8090, 1683, 3407, 3255, 585, 2208, 543, 1689, 2439, 4131, 803, 2285, 596, 606, 1383, 281, 4952, 513, 2875, 3957, 16092, 814, 7411, 6340, 909, 538, 1362, 1813, 547, 1514, 4160, 269, 4438, 674, 4338, 7886, 267, 950, 16092, 7959, 14221, 827, 4687, 4555, 609, 519, 13309, 267, 519, 13309, 1131, 9900, 5000, 16092, 547, 2769, 1346, 4145, 269, 1306, 16092, 2853, 6158, 827, 13943, 3584, 609, 519, 13309, 267, 1007, 1983, 1020, 602, 949, 4483, 547, 6340, 909, 811, 18390, 538, 1362, 936, 942, 780, 8855, 267, 1169, 1268, 568, 2189, 267, 865, 972, 3884, 1405, 513, 1412, 821, 2450, 13352, 782, 262, 3070, 950, 621, 2501, 547, 21911, 269, 7756, 4485, 960, 1732, 585, 930, 982, 1866, 267, 1175, 899, 1978, 12348, 9290, 1808, 2043, 269, 3414, 3695, 1585, 3029, 540, 21911, 267, 971, 607, 674, 4338, 267, 649, 2744, 4030, 883, 1480, 8186, 543, 3605, 2081, 547, 1489, 6000, 543, 1866, 1282, 4101, 2053, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3036, 5456, 2562, 3201, 19419, 292, 24086, 2376, 454, 20376, 269, 16723, 26935, 625, 454, 24127, 476, 1556, 910, 476, 1708, 271, 1923, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 10043, 339, 269, 1708, 271, 269, 2568, 278, 4968, 454, 25842, 540, 5178, 5202, 18567, 593, 519, 6356, 4369, 540, 13081, 4149, 24594, 15465, 19884, 5811, 3590, 540, 31499, 630, 290, 289, 3008, 303, 264, 543, 8081, 633, 31499, 538, 4934, 18345, 9615, 585, 6431, 11962, 3493, 4809, 13081, 454, 268, 476, 272, 23430, 540, 11916, 10017, 543, 31499, 267, 2160, 540, 1261, 14988, 6199, 267, 1261, 14988, 6199, 267, 5125, 454, 268, 476, 273, 9743, 3482, 540, 11916, 10017, 267, 11233, 853, 18636, 326, 691, 267, 853, 18636, 326, 691, 267, 5125, 454, 268, 476, 274, 23430, 540, 24741, 543, 31499, 267, 15465, 19884, 5811, 3590, 540, 31499, 4741, 540, 14847, 775, 267, 2160, 540, 12844, 333, 267, 12844, 333, 267, 5125, 454, 268, 476, 275, 9743, 3482, 540, 21885, 9210, 850, 696, 1108, 543, 595, 10744, 3194, 267, 2160, 540, 12844, 333, 267, 12844, 333, 267, 5125, 454, 268, 476, 276, 290, 10938, 585, 13188, 543, 29249, 267, 2160, 540, 12844, 333, 267, 12844, 333, 267, 5125, 454, 268, 476, 277, 23430, 540, 24741, 543, 31499, 267, 4077, 527, 2946, 268, 17206, 6925, 12670, 267, 12670, 267, 5125, 454, 268, 476, 278, 23430, 540, 24741, 543, 31499, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 23341, 8890, 6776, 31499, 630, 293, 4338, 17983, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 10263, 1143, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1556, 2306, 2312, 602, 713, 8317, 568, 11108, 267, 543, 713, 9868, 4386, 1317, 2696, 568, 30260, 3571, 26315, 543, 4031, 609, 3571, 1004, 269, 5822, 267, 519, 11052, 2519, 593, 31879, 896, 2696, 781, 3952, 630, 2190, 281, 1015, 264, 5267, 602, 891, 2367, 616, 1152, 7487, 2696, 781, 3952, 543, 711, 3571, 2407, 1145, 267, 1175, 899, 15584, 1131, 2663, 1294, 1152, 2696, 781, 1394, 630, 2750, 21402, 476, 3451, 281, 2641, 268, 2537, 1916, 1103, 476, 2190, 281, 280, 268, 1556, 267, 2696, 24963, 25495, 3571, 26315, 1510, 513, 2347, 21048, 4979, 540, 3571, 2868, 1465, 267, 11744, 3571, 7287, 585, 2407, 2078, 269, 634, 2556, 21339, 585, 713, 2078, 1098, 335, 790, 538, 476, 2190, 281, 274, 268, 279, 269, 901, 3296, 19528, 1079, 5686, 540, 15093, 281, 26151, 17008, 543, 31776, 17008, 269, 8738, 660, 17008, 616, 1500, 547, 3382, 936, 21359, 267, 543, 31776, 17008, 616, 1500, 547, 2973, 572, 1004, 585, 31776, 5301, 269, 1452, 12242, 17008, 543, 1082, 547, 2097, 538, 2104, 13220, 5965, 721, 585, 835, 10700, 5356, 602, 3947, 721, 1312, 693, 821, 618, 543, 31776, 609, 2696, 563, 2750, 21402, 476, 2641, 268, 2537, 3568, 2417, 14074, 827, 875, 2696, 779, 1004, 616, 547, 2661, 269, 898, 779, 1360, 2653, 547, 30089, 998, 713, 8574, 267, 1236, 21148, 936, 519, 4031, 547, 1205, 1394, 547, 519, 16219, 2244, 2239, 269, 1717, 267, 3257, 865, 1797, 7508, 856, 593, 4514, 1702, 827, 519, 7083, 563, 2026, 649, 17743, 593, 713, 8574, 267, 513, 1906, 4798, 10836, 269, 634, 1101, 568, 2696, 779, 7029, 547, 5126, 269, 1879, 519, 25232, 4636, 835, 1776, 267, 2696, 7569, 602, 519, 835, 945, 729, 4636, 539, 581, 17468, 538, 2407, 267, 543, 538, 930, 2665, 1256, 2799, 269, 5822, 267, 2696, 779, 8296, 568, 1459, 269, 1261, 1219, 1742, 519, 4057, 267, 519, 30612, 267, 543, 519, 29152, 9789, 1034, 7925, 538, 2486, 269, 1261, 7184, 30128, 827, 519, 865, 30394, 1676, 267, 519, 4914, 518, 267, 543, 519, 10553, 1851, 873, 267, 945, 1131, 711, 581, 540, 2696, 779, 1004, 267, 855, 1223, 1869, 1265, 9675, 1851, 873, 563, 7661, 267, 1294, 519, 2868, 1465, 540, 2696, 269, 2696, 12134, 602, 519, 2407, 1145, 540, 519, 25232, 685, 7556, 543, 519, 1101, 9799, 540, 741, 14930, 543, 13184, 782, 581, 13394, 3603, 547, 13924, 269, 1261, 849, 20964, 519, 590, 30117, 543, 7453, 19439, 906, 1996, 1346, 945, 1527, 2033, 3571, 2012, 609, 31561, 520, 787, 269, 11109, 547, 21704, 1312, 5370, 543, 942, 1131, 723, 1044, 1360, 2352, 585, 873, 267, 607, 621, 568, 585, 721, 269, 8616, 2696, 16111, 2982, 1010, 13300, 540, 2648, 547, 519, 25232, 267, 998, 519, 9101, 689, 5527, 543, 2663, 593, 267, 543, 1281, 519, 1482, 585, 782, 3571, 1453, 563, 9213, 267, 1491, 930, 942, 547, 1199, 10028, 593, 891, 18627, 282, 2307, 2696, 547, 1140, 2317, 707, 2295, 547, 3571, 5126, 267, 8296, 267, 543, 2868, 1465, 1459, 1369, 563, 1103, 31519, 476, 866, 267, 2696, 3096, 1614, 1114, 10643, 585, 5840, 281, 968, 7069, 1378, 15896, 2223, 968, 320, 10806, 540, 20577, 2223, 543, 968, 320, 13411, 4182, 2223, 3177, 602, 789, 23491, 269, 589, 2078, 1808, 547, 519, 26315, 267, 5840, 729, 2696, 781, 15896, 12544, 2027, 14951, 269, 1306, 513, 10806, 540, 20577, 267, 519, 4182, 568, 547, 581, 606, 10827, 776, 1063, 4914, 9082, 543, 2696, 267, 543, 607, 513, 13411, 4182, 267, 547, 581, 5094, 689, 9409, 21349, 513, 13411, 2696, 269, 1677, 3571, 1004, 267, 2696, 3947, 519, 14210, 16710, 906, 267, 1336, 593, 519, 6821, 540, 10732, 1153, 11623, 585, 519, 1360, 21836, 547, 27655, 269, 1452, 4557, 616, 1152, 519, 1376, 540, 1896, 4031, 9788, 856, 538, 519, 1739, 11271, 630, 974, 778, 902, 593, 521, 13396, 19843, 543, 950, 547, 1863, 22063, 1810, 1406, 20519, 3160, 942, 538, 1453, 779, 4245, 1070, 855, 1577, 779, 1413, 1631, 693, 1018, 4523, 538, 1063, 1765, 29994, 779, 3210, 547, 2696, 779, 4527, 563, 2690, 513, 1004, 26224, 547, 968, 326, 617, 892, 1373, 8806, 513, 18533, 593, 513, 15808, 267, 25884, 519, 1483, 4308, 568, 32049, 269, 4256, 4182, 14754, 726, 8046, 267, 18084, 513, 26026, 539, 593, 3819, 2666, 267, 1743, 1678, 1216, 26311, 689, 513, 4224, 267, 543, 1256, 1185, 741, 1426, 2887, 689, 519, 6607, 1169, 6640, 267, 855, 607, 8614, 327, 990, 1695, 2306, 13924, 1345, 26837, 4192, 998, 19711, 543, 25041, 564, 1025, 6814, 543, 513, 695, 9613, 540, 4158, 8673, 267, 3079, 540, 13465, 17105, 17192, 547, 741, 1763, 322, 21838, 267, 3571, 1004, 4250, 585, 741, 2729, 563, 300, 4680, 6941, 602, 2696, 814, 7902, 538, 1931, 5372, 741, 2168, 4250, 609, 513, 3325, 1370, 658, 4250, 5921, 547, 1832, 873, 689, 5609, 940, 269, 634, 22258, 540, 4906, 16716, 513, 2147, 16147, 269, 4906, 729, 1572, 2506, 28609, 2443, 968, 18661, 609, 721, 892, 2443, 15367, 5747, 593, 938, 15773, 543, 9782, 1586, 267, 838, 2130, 721, 519, 4250, 540, 2669, 269, 1452, 1178, 4109, 6411, 6445, 3571, 1004, 609, 25713, 267, 543, 27527, 585, 13924, 11129, 547, 1832, 721, 689, 5609, 940, 269, 21813, 585, 7326, 547, 2697, 543, 21548, 547, 9004, 930, 5609, 538, 707, 1272, 267, 1825, 591, 267, 543, 1491, 2295, 602, 713, 1482, 15813, 2696, 26823, 2471, 3571, 2648, 1346, 945, 2648, 13924, 543, 1832, 3571, 4971, 906, 267, 543, 3571, 4971, 906, 616, 711, 24675, 727, 630, 272, 3627, 476, 276, 281, 274, 1916, 288, 7333, 1676, 538, 3504, 2053, 729, 513, 3044, 5645, 693, 519, 4395, 540, 513, 4108, 23454, 269, 898, 729, 519, 28487, 532, 1448, 267, 543, 621, 4951, 519, 1899, 540, 15292, 269, 898, 7012, 1405, 8209, 513, 9206, 282, 621, 1223, 723, 1044, 513, 15393, 609, 513, 6505, 15022, 3512, 593, 1283, 602, 695, 821, 538, 519, 3141, 269, 1879, 538, 6370, 267, 7980, 1131, 1413, 936, 538, 519, 22984, 540, 519, 10539, 543, 1294, 519, 4622, 781, 7333, 1676, 4371, 1164, 267, 543, 789, 1131, 4339, 609, 10100, 543, 6015, 563, 1103, 31519, 476, 1704, 281, 279, 268, 1626, 267, 5840, 568, 16091, 676, 2549, 1446, 330, 267, 543, 693, 15584, 262, 4971, 267, 26056, 5012, 2367, 883, 519, 6370, 269, 15584, 10473, 5128, 593, 1283, 540, 519, 14629, 609, 519, 968, 560, 3530, 540, 2696, 892, 538, 1010, 1688, 269, 15049, 543, 26826, 616, 609, 1864, 269, 1879, 15584, 6585, 1010, 1688, 1164, 267, 5840, 7173, 5661, 855, 950, 646, 6585, 1010, 1688, 1524, 267, 2549, 1446, 330, 7173, 5661, 269, 15049, 543, 26826, 2322, 513, 6149, 896, 15584, 547, 4412, 1864, 909, 267, 543, 789, 1142, 3180, 1010, 3946, 909, 593, 2901, 2427, 540, 1864, 2394, 23863, 269, 26056, 17993, 519, 6370, 543, 15584, 6487, 621, 729, 519, 28789, 945, 5795, 519, 11802, 269, 4935, 15584, 3947, 2696, 519, 2012, 8614, 327, 990, 1695, 5991, 1170, 328, 269, 1677, 7247, 798, 649, 2196, 950, 649, 616, 649, 776, 538, 519, 6370, 540, 5132, 286, 2696, 568, 938, 4222, 950, 649, 1413, 547, 13924, 563, 1103, 31519, 3184, 476, 1240, 267, 808, 996, 549, 267, 4651, 2987, 25237, 547, 15584, 267, 17838, 547, 23968, 933, 327, 1759, 593, 30650, 599, 269, 2311, 1101, 998, 519, 18812, 341, 710, 630, 2750, 21402, 476, 1240, 281, 272, 264, 543, 1287, 689, 15584, 630, 2750, 269, 1240, 281, 279, 268, 1321, 1070, 808, 996, 549, 30650, 875, 23968, 933, 327, 9447, 3571, 1004, 689, 519, 21072, 269, 2904, 649, 581, 9415, 547, 2671, 16499, 23888, 609, 14077, 649, 1279, 547, 1294, 10710, 269, 8921, 267, 7747, 519, 21548, 540, 15584, 950, 646, 11392, 808, 996, 549, 781, 8480, 593, 4687, 5718, 5539, 267, 1945, 1169, 6205, 16137, 1862, 324, 1203, 1302, 563, 9213, 779, 8574, 6212, 593, 2696, 779, 11865, 269, 15584, 814, 3366, 519, 25232, 856, 540, 5527, 883, 519, 19069, 267, 543, 1631, 789, 1590, 7048, 4625, 593, 1018, 2696, 2488, 269, 2991, 789, 723, 14612, 538, 519, 9390, 585, 930, 942, 267, 1426, 2959, 2196, 1970, 543, 519, 1004, 2253, 547, 2243, 2696, 543, 15584, 685, 5718, 269, 634, 4182, 540, 5840, 814, 1044, 15685, 689, 8474, 267, 855, 1631, 789, 7038, 519, 2856, 602, 621, 1131, 723, 1044, 1732, 547, 3251, 538, 6125, 720, 982, 547, 5884, 540, 14000, 543, 19818, 269, 634, 1004, 723, 4503, 5132, 538, 2696, 269, 15584, 6770, 713, 547, 519, 7083, 267, 945, 4267, 609, 513, 9153, 585, 1426, 269, 2696, 3123, 513, 26600, 540, 5017, 547, 1780, 998, 741, 3786, 547, 3761, 5779, 267, 543, 1169, 6640, 267, 2696, 1500, 513, 1166, 820, 344, 267, 3694, 6438, 6219, 2408, 689, 12015, 632, 342, 269, 3414, 782, 540, 713, 267, 2696, 5143, 519, 1004, 540, 5840, 547, 1246, 13924, 267, 547, 3972, 538, 3571, 3246, 585, 3571, 1004, 563, 763, 5840, 924, 1004, 1185, 4810, 519, 22800, 1379, 540, 2696, 998, 3571, 3056, 873, 856, 540, 5527, 269, 1717, 267, 789, 3533, 29709, 602, 1261, 568, 538, 1852, 543, 1223, 2844, 873, 269, 3509, 2053, 649, 798, 711, 3972, 2696, 609, 938, 2104, 1317, 649, 7340, 827, 1018, 1261, 814, 2907, 2944, 585, 721, 538, 519, 2250, 269, 1306, 513, 12576, 585, 3054, 267, 1491, 930, 942, 547, 2992, 543, 2328, 1524, 875, 596, 723, 2938, 2696, 960, 538, 707, 1272, 538, 519, 2250, 269, 1215, 723, 596, 2938, 2696, 960, 538, 519, 2729, 540, 1004, 1472, 596, 286, 3503, 713, 1524, 849, 269, 3657, 596, 10010, 547, 3972, 602, 2696, 6487, 1018, 1261, 568, 3257, 286, 6258, 689, 713, 1650, 538, 31519, 543, 689, 891, 824, 1272, 2833, 602, 1498, 596, 949, 711, 581, 2111, 547, 1294, 621, 2943, 267, 2696, 568, 2111, 547, 1683, 563, 1103, 31519, 476, 1428, 281, 272, 268, 2641, 267, 5840, 4431, 547, 741, 17636, 936, 519, 21072, 543, 15385, 519, 4414, 7256, 269, 901, 568, 513, 5152, 540, 11802, 543, 17192, 1927, 269, 5840, 1185, 4862, 540, 2696, 267, 855, 789, 1185, 711, 2943, 14754, 945, 23968, 933, 327, 5963, 568, 269, 10163, 1681, 5840, 689, 5527, 998, 4191, 543, 13300, 267, 2696, 814, 3964, 945, 1261, 568, 547, 5840, 1765, 21914, 936, 31279, 543, 1010, 10971, 543, 3751, 936, 2470, 269, 5840, 666, 1405, 948, 855, 16802, 883, 17192, 563, 1103, 519, 5152, 267, 15584, 8711, 1079, 1271, 3741, 602, 1577, 721, 917, 585, 2386, 602, 649, 666, 3972, 2696, 269, 3689, 267, 2696, 568, 513, 24116, 945, 24515, 938, 12959, 281, 968, 763, 7083, 568, 513, 24116, 282, 519, 7083, 568, 3571, 2012, 1848, 630, 2750, 21402, 476, 1428, 281, 274, 1040, 1261, 24515, 519, 21072, 543, 741, 7301, 10971, 267, 543, 1261, 24057, 4900, 5840, 781, 14763, 269, 1261, 849, 8060, 519, 4229, 540, 2470, 267, 1818, 5840, 3444, 519, 4414, 7256, 593, 3819, 2666, 269, 5822, 267, 23968, 933, 327, 568, 519, 2696, 540, 938, 20778, 281, 968, 763, 7083, 568, 1250, 4222, 543, 1250, 8878, 282, 1261, 814, 1831, 1250, 20778, 269, 1261, 568, 1250, 2696, 267, 543, 594, 786, 17192, 13924, 267, 1250, 4651, 390, 376, 338, 2696, 267, 543, 594, 786, 608, 5306, 13924, 1848, 630, 2750, 21402, 476, 1428, 281, 273, 1040, 4495, 543, 585, 782, 267, 5840, 1140, 652, 602, 972, 568, 1100, 2696, 855, 519, 2696, 540, 741, 18971, 269, 968, 8005, 1851, 519, 10971, 568, 899, 596, 267, 7083, 286, 5808, 568, 899, 596, 1765, 23836, 538, 2868, 1465, 267, 15813, 538, 18710, 267, 2324, 13300, 9495, 630, 2750, 21402, 476, 1428, 281, 1556, 1040, 11109, 2938, 782, 891, 1919, 267, 5840, 917, 585, 2386, 602, 2696, 814, 10710, 873, 689, 519, 4182, 789, 1185, 5185, 269, 1358, 3972, 2696, 547, 3142, 873, 547, 519, 8871, 2213, 8092, 269, 19452, 267, 6424, 521, 902, 540, 1010, 3972, 538, 519, 4414, 9851, 518, 2696, 538, 25360, 332, 476, 4375, 267, 968, 3719, 1631, 267, 7083, 267, 1018, 798, 594, 1413, 585, 286, 3733, 4126, 568, 538, 596, 269, 16440, 803, 689, 782, 1250, 1098, 326, 11306, 282, 798, 711, 1118, 803, 519, 1085, 1941, 540, 535, 8962, 892, 630, 341, 341, 269, 476, 278, 268, 279, 1916, 2171, 723, 782, 519, 811, 2601, 547, 3972, 2696, 609, 938, 3232, 12959, 269, 1284, 616, 547, 17192, 543, 608, 5306, 23968, 933, 327, 585, 1010, 1390, 20778, 998, 2441, 269, 1261, 17204, 21359, 543, 2669, 585, 596, 269, 1879, 596, 3068, 707, 4414 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 519, 1259, 596, 1131, 3866, 513, 6049, 547, 1118, 513, 1289, 610, 602, 596, 1131, 11571, 606, 3239, 547, 6494, 513, 535, 1314, 269, 5269, 2386, 602, 693, 713, 4098, 3942, 267, 621, 13978, 2241, 269, 6056, 827, 513, 8523, 540, 707, 3214, 602, 596, 723, 2673, 547, 1688, 610, 1945, 2147, 267, 1945, 602, 568, 8449, 2653, 563, 2005, 568, 8049, 547, 1265, 602, 3744, 798, 723, 2178, 4978, 4724, 17915, 540, 1480, 7553, 543, 789, 3858, 602, 972, 568, 930, 5168, 547, 15859, 783, 2623, 269, 12344, 713, 568, 1317, 789, 666, 1995, 891, 1919, 2933, 538, 602, 621, 568, 811, 17271, 538, 873, 269, 24641, 609, 7658, 15797, 267, 1317, 540, 519, 535, 8172, 540, 519, 2631, 6585, 1100, 2178, 6125, 538, 873, 269, 4475, 267, 1317, 519, 3744, 2933, 798, 711, 1745, 7658, 12949, 545, 267, 1287, 621, 1590, 711, 2291, 269, 1403, 596, 616, 2469, 547, 2119, 7658, 15797, 568, 621, 2009, 713, 1058, 1101, 581, 13986, 563, 2252, 596, 616, 2469, 547, 2119, 7658, 15797, 568, 621, 2009, 713, 1058, 581, 6743, 693, 269, 1703, 568, 513, 1390, 4308, 540, 25949, 827, 7658, 15797, 267, 1175, 607, 609, 1022, 824, 1447, 4122, 1031, 2067, 2790, 4390, 799, 3425, 723, 269, 1879, 1058, 7658, 15797, 568, 621, 2009, 1505, 581, 3323, 888, 7617, 7658, 15797, 568, 621, 2009, 4480, 581, 13986, 286, 1677, 9414, 606, 1383, 540, 2790, 7658, 15797, 267, 1589, 827, 713, 281, 1175, 875, 1082, 2053, 723, 596, 1044, 6126, 1152, 547, 2097, 2066, 606, 1367, 945, 568, 1350, 334, 3912, 543, 20158, 269, 769, 1175, 513, 1906, 3764, 540, 6158, 609, 519, 3765, 30514, 1367, 267, 707, 1378, 4606, 1376, 547, 2992, 519, 1482, 3364, 269, 898, 781, 711, 519, 6643, 519, 1367, 568, 6031, 547, 596, 24706, 621, 568, 538, 1249, 519, 6771, 540, 782, 540, 741, 4664, 543, 4606, 2469, 883, 707, 32436, 2247, 269, 901, 568, 513, 1106, 540, 7658, 15797, 563, 4415, 4359, 7658, 15797, 2866, 267, 25122, 538, 543, 7630, 532, 4555, 1510, 519, 2034, 1268, 781, 9844, 267, 2882, 2866, 593, 2553, 971, 607, 17655, 543, 2625, 532, 269, 901, 5097, 568, 2009, 585, 4810, 1004, 945, 723, 27058, 519, 1148, 540, 7920, 14839, 543, 1852, 593, 741, 1378, 32436, 8186, 547, 6494, 856, 4043, 337, 2812, 689, 519, 13020, 344, 540, 519, 1482, 7658, 15797, 568, 621, 2009, 269, 1452, 4043, 337, 2812, 1287, 979, 538, 547, 519, 824, 781, 2247, 543, 11453, 1996, 621, 547, 11571, 519, 4555, 972, 514, 610, 9900, 7903, 538, 519, 5072, 883, 1010, 2247, 585, 2625, 532, 538, 585, 4514, 4555, 610, 13297, 538, 519, 1482, 7658, 15797, 568, 621, 2009, 563, 763, 7740, 538, 707, 2634, 602, 8060, 7658, 12949, 545, 2792, 960, 1034, 9244, 593, 519, 1016, 23655, 1377, 267, 610, 538, 519, 959, 766, 6438, 3834, 2254, 545, 1533, 269, 901, 959, 766, 1533, 568, 513, 1377, 540, 11005, 782, 540, 721, 616, 5827, 540, 8757, 1510, 1454, 7411, 269, 1879, 1210, 7658, 15797, 568, 621, 2009, 713, 1058, 581, 6743, 693, 563, 4407, 621, 568, 3006, 1226, 730, 547, 581, 2484, 10099, 3481, 267, 602, 568, 15069, 711, 519, 2013, 7658, 15797, 568, 621, 2009, 269, 634, 8226, 540, 7658, 15797, 2115, 547, 581, 835, 602, 568, 7654, 15110, 543, 606, 2702, 602, 666, 581, 4121, 7658, 15797, 568, 621, 2009, 269, 898, 568, 1175, 899, 1565, 547, 5968, 609, 513, 1007, 1893, 610, 1565, 4376, 1007, 585, 602, 2339, 269, 3807, 1317, 596, 666, 1405, 798, 621, 267, 1281, 711, 1611, 602, 621, 1281, 711, 2291, 269, 9320, 596, 616, 519, 835, 602, 568, 513, 2370, 15877, 593, 707, 1565, 5759, 2336, 1432, 616, 519, 2949, 2360, 540, 7658, 15797, 568, 621, 2009, 286, 634, 1883, 568, 547, 3635, 22471, 1006, 2553, 2394, 596, 666, 3362, 12492, 519, 959, 766, 5123, 269, 4495, 596, 666, 798, 713, 267, 596, 3513, 581, 1134, 593, 707, 1259, 547, 3384, 707, 7658, 12949, 545, 7060, 563, 763, 17513, 1058, 1694, 1394, 543, 3251, 6394, 7658, 15797, 568, 621, 2009, 269, 1261, 1058, 723, 606, 1930, 2247, 543, 18515, 547, 4309, 543, 15849, 30968, 2592, 269, 1452, 24221, 1058, 581, 795, 582, 1540, 1524, 563, 20797, 7658, 15797, 676, 2519, 593, 2576, 596, 1616, 547, 5968, 609, 950, 596, 616, 8026, 707, 1199, 5511, 2553, 269, 5994, 713, 1367, 267, 607, 596, 616, 3843, 547, 1788, 2318, 4555, 2509, 873, 269, 8921, 267, 14650, 873, 8391, 891, 4555, 269, 5901, 5059, 593, 713, 2394, 596, 1745, 602, 519, 1367, 596, 2811, 3206, 540, 814, 1185, 942, 547, 1205, 891, 4555, 269, 3973, 3247, 2519, 593, 873, 693, 782, 269, 17547, 519, 3346, 865, 602, 789, 666, 917, 519, 2792, 1373, 7745, 1055, 282, 713, 1058, 1118, 873, 2119, 547, 556, 652, 28344, 713, 3095, 563, 1432, 568, 972, 547, 1174, 609, 7658, 15797, 568, 621, 2009, 286, 31313, 3635, 568, 513, 2731, 1434, 2856, 547, 948, 538, 7658, 15797, 1646, 269, 7994, 835, 1367, 607, 519, 17513, 543, 835, 547, 581, 519, 30699, 269, 634, 31092, 1058, 3442, 513, 2241, 1843, 547, 10141, 269, 634, 17513, 1058, 581, 5423, 609, 14950, 543, 4050, 547, 2594, 1022, 543, 782, 6114, 543, 4555, 602, 2097, 547, 2247, 269, 2311, 519, 3932, 540, 1142, 2259, 8400, 267, 5659, 4967, 547, 20272, 875, 1082, 540, 519, 2592, 543, 6114, 616, 2953, 269, 634, 811, 2259, 596, 1205, 267, 519, 811, 4977, 707, 3239, 21200, 786, 1831, 269, 7658, 15797, 3014, 7658, 15797, 3391, 7658, 15797, 875, 7658, 15797, 875, 547, 798, 621, 7658, 15797, 875, 547, 1451, 7658, 15797, 875, 547, 946, 707, 1379, 540, 17611, 7658, 15797, 3834, 16915, 7658, 15797, 538, 9909, 7658, 15797, 568, 621, 2009, 7658, 15797, 568, 1483, 7658, 15797, 1451, 7658, 15797, 1565, 7658, 15797, 2495, 7658, 15797, 3377, 7658, 15797, 2228, 7658, 15797, 2228, 1449, 7658, 15797, 610, 7658, 330, 1149, 529, 7658, 15797, 7824, 7658, 15797, 1379, 7658, 15797, 7060, 454, 974, 548, 15797, 568, 621, 2009, 0, 276, 269, 5130, 476, 1001, 272, 476, 6021, 281, 6078, 454, 312, 3641, 10793, 1115, 723, 1044, 4929, 2152, 538, 3162, 543, 3345, 10491, 585, 1296, 269, 1703, 616, 930, 6225, 2188, 602, 789, 1683, 855, 789, 849, 1711, 2042, 543, 29097, 1004, 269, 1496, 5415, 2639, 273, 269, 5130, 476, 1001, 272, 476, 736, 281, 3066, 454, 293, 8816, 13733, 616, 1455, 538, 5321, 267, 14060, 267, 2706, 5658, 1115, 543, 16382, 3116, 1426, 568, 4847, 547, 4232, 543, 7542, 618, 563, 3849, 6699, 616, 827, 476, 272, 270, 279, 10759, 1279, 543, 2356, 723, 2699, 4064, 269, 634, 4395, 6712, 540, 519, 1560, 568, 16009, 543, 519, 15493, 6712, 568, 3109, 269, 22500, 13733, 2482, 741, 5798, 2282, 519, 2627, 540, 7542, 13586, 3536, 610, 824, 5848, 267, 5214, 2326, 269, 16270, 6932, 267, 519, 6263, 16793, 3136, 547, 3049, 2282, 519, 2627, 540, 519, 7542, 13586, 2527, 269, 901, 2627, 1922, 29623, 8984, 540, 519, 16793, 568, 1713, 538, 602, 8697, 610, 936, 268, 8692, 2989, 13980, 540, 5613, 543, 5388, 666, 581, 2759, 2476, 1510, 2348, 547, 1167, 731, 519, 14230, 585, 4250, 540, 20808, 1022, 3384, 16793, 269, 634, 10285, 1761, 540, 4829, 13733, 568, 11999, 282, 2016, 519, 4316, 267, 789, 786, 2482, 827, 476, 4335, 5798, 269, 634, 3003, 29488, 689, 4212, 547, 2937, 666, 581, 6192, 538, 827, 513, 3018, 563, 763, 4527, 540, 2699, 547, 26070, 10538, 4064, 568, 606, 1271, 1915, 585, 8446, 607, 891, 6263, 13733, 616, 1419, 11821, 609, 1208, 335, 3724, 13733, 630, 303, 1817, 13160, 264, 799, 723, 20585, 6960, 547, 3109, 4064, 563, 763, 1655, 1259, 547, 2057, 2042, 609, 4829, 13733, 568, 547, 9004, 2959, 540, 16007, 269, 21277, 576, 799, 814, 18009, 2989, 1058, 581, 13881, 267, 23987, 610, 14023, 730, 269, 15434, 22486, 610, 8697, 13980, 540, 5613, 543, 5388, 1058, 581, 2759, 2476, 543, 23987, 538, 519, 2680, 602, 5798, 610, 16793, 616, 1459, 538, 519, 20754, 1858, 269, 589, 2582, 4232, 1154, 15837, 610, 22323, 16618, 693, 519, 1394, 540, 513, 5008, 564, 267, 610, 4829, 10433, 21383, 720, 896, 513, 21067, 666, 9742, 5215, 540, 4829, 13733, 269, 1924, 666, 513, 9657, 10822, 6740, 538, 519, 25810, 799, 568, 2760, 7962, 1221, 610, 19345, 563, 5629, 513, 2497, 568, 1102, 6479, 609, 4829, 13733, 267, 782, 1761, 9960, 2127, 1590, 581, 4092, 543, 17515, 269, 28791, 519, 9960, 4609, 616, 6569, 610, 19345, 267, 519, 1966, 786, 3136, 1100, 2339, 875, 1419, 5521, 15969, 616, 4294, 547, 1852, 519, 4079, 269, 15531, 519, 2707, 4433, 264, 540, 16007, 543, 9960, 666, 581, 1360, 4101, 543, 1419, 786, 2154, 1454, 2219, 543, 18094, 269, 15783, 9960, 4609, 799, 616, 538, 17739, 1043, 630, 324, 3052, 1421, 20203, 8741, 1023, 543, 28368, 264, 666, 581, 1202, 4624, 676, 7148, 532, 513, 2312, 5068, 1426, 4859, 9126, 936, 519, 6679, 16074, 269, 1403, 13733, 616, 9960, 538, 891, 2127, 267, 519, 4079, 786, 10836, 543, 581, 9575, 538, 519, 9126, 563, 5475, 519, 2707, 540, 16007, 543, 9960, 568, 17515, 267, 513, 7510, 516, 628, 5300, 2861, 267, 27829, 5521, 8336, 949, 581, 1031, 547, 6146, 1022, 6967, 2937, 13733, 538, 519, 1858, 563, 1789, 269, 5412, 476, 1001, 271, 476, 6021, 281, 2004, 454, 2791, 786, 811, 2693, 547, 1265, 13650, 8983, 538, 1306, 515, 6807, 1107, 1454, 1447, 2693, 538, 681, 1446, 662, 454, 763, 13650, 10856, 630, 8110, 558, 903, 322, 639, 812, 10306, 9850, 264, 814, 2462, 4064, 543, 2462, 10772, 269, 4706, 2212, 543, 1560, 616, 827, 476, 273, 910, 476, 274, 6279, 1279, 267, 543, 519, 2766, 1776, 476, 273, 910, 476, 274, 6279, 538, 3259, 269, 4706, 5580, 1560, 9832, 689, 12457, 547, 26070, 6960, 267, 4470, 593, 922, 2085, 269, 634, 896, 10964, 569, 568, 3043, 543, 519, 2766, 814, 25921, 3989, 3043, 5011, 563, 763, 3043, 3723, 539, 10856, 5654, 1360, 2147, 547, 519, 13650, 10856, 269, 634, 3043, 20356, 539, 10856, 630, 8110, 558, 903, 322, 639, 682, 1075, 22455, 264, 568, 2182, 547, 10646, 689, 519, 13650, 10856, 269, 634, 2212, 543, 1560, 1927, 616, 827, 2185, 6279, 1279, 269, 634, 2766, 568, 7363, 10156, 982, 922, 1560, 630, 12671, 476, 273, 910, 476, 275, 6279, 1279, 1040, 5440, 2515, 267, 922, 9663, 9832, 689, 12779, 6960, 547, 26070, 6960, 267, 1247, 922, 9207, 728, 543, 3952, 616, 3043, 563, 29995, 267, 519, 13650, 10856, 15055, 3574, 4133, 267, 855, 849, 7140, 909, 538, 9390, 2127, 269, 6519, 3723, 539, 8983, 4782, 3574, 539, 543, 1490, 639, 1506, 2127, 267, 4352, 3006, 621, 786, 2661, 538, 811, 1930, 2666, 563, 13828, 519, 13650, 10856, 543, 3043, 3723, 539, 10856, 786, 4749, 4283, 5321, 267, 6095, 1137, 267, 24259, 543, 12212, 6740, 681, 309, 779, 543, 824, 1102, 18526, 1031, 6472, 1282, 519, 21617, 3275, 563, 1432, 2306, 519, 3043, 20356, 539, 543, 13650, 8983, 811, 540, 513, 6161, 982, 519, 2777, 10856, 568, 789, 616, 3119, 19057, 540, 554, 656, 8785, 1107, 799, 3123, 554, 656, 8785, 17422, 6794, 630, 295, 4916, 1040, 901, 3644, 568, 10299, 5097, 676, 519, 32480, 540, 7452, 5536, 13572, 609, 10729, 543, 5924, 28797, 689, 7783, 3043, 3723, 539, 610, 13650, 8983, 563, 6944, 1503, 585, 519, 13650, 8983, 610, 3043, 3723, 539, 8983, 616, 1482, 607, 585, 519, 2777, 10856, 267, 609, 19455, 267, 22426, 720, 17594, 543, 10856, 1107, 6169, 532, 519, 2679, 269, 2422, 540, 22678, 1243, 26882, 20637, 267, 887, 4823, 15969, 538, 19526, 23984, 704, 11259, 10473, 267, 543, 15441, 12545, 616, 782, 2500, 538, 14874, 1459, 5095, 563, 303, 847, 6005, 930, 8766, 3106, 15416, 568, 929, 644, 550, 912, 2691, 538, 16876, 2127, 609, 10729, 267, 5323, 25940, 267, 543, 1315, 528, 4666, 8983, 5957, 513, 6711, 1807, 9280, 609, 16777, 5183, 12086, 563, 310, 792, 12285, 610, 5068, 17309, 950, 7829, 8983, 610, 20637, 563, 307, 805, 4666, 8983, 609, 513, 21149, 656, 1354, 7829, 543, 610, 946, 519, 30141, 9126, 4480, 563, 11514, 17126, 1022, 5323, 25940, 1354, 8851, 269, 28820, 340, 4548, 616, 711, 5227, 563, 2420, 269, 5412, 476, 1001, 271, 476, 6021, 281, 3393, 454, 293, 548, 553, 616, 1271, 1895, 540, 5521, 10860, 1317, 789, 2014, 9636, 676, 24146, 543, 789, 666, 10141, 1896, 3676, 899, 519, 20575, 543, 9597, 710, 27193, 639, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 543, 957, 563, 305, 1690, 8643, 5487, 305, 665, 8619, 281, 1692, 1705, 596, 2097, 909, 609, 713, 2856, 888, 309, 1157, 344, 674, 836, 281, 9338, 15771, 5723, 5588, 716, 1302, 3323, 1055, 609, 519, 2140, 256, 1306, 513, 5449, 14704, 540, 11608, 585, 3214, 267, 594, 1589, 827, 11608, 513, 2603, 267, 688, 3873, 269, 4495, 519, 2140, 543, 519, 2856, 540, 513, 8773, 9904, 1433, 941, 538, 1250, 2212, 267, 594, 6785, 594, 1616, 324, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 12292, 1315, 17268, 1315, 25587, 17268, 538, 3778, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 279, 281, 2473, 523, 565, 3907, 2524, 543, 9442, 910, 4197, 1215, 1284, 3513, 13185, 547, 1325, 16772, 692, 5331, 596, 616, 4730, 513, 3014, 1141, 596, 723, 547, 7058, 1018, 707, 3659, 568, 5373, 1510, 3168, 693, 519, 1957, 269, 1411, 2307, 2055, 899, 834, 3674, 621, 9800, 8119, 610, 834, 4692, 621, 8038, 8119, 1759, 593, 9811, 610, 1100, 4267, 269, 901, 1184, 540, 23115, 856, 2495, 998, 6998, 2055, 568, 2147, 547, 875, 30542, 565, 3907, 1235, 1353, 2792, 609, 31373, 14111, 1272, 3029, 2439, 3383, 267, 1018, 4010, 568, 30542, 565, 3907, 2524, 286, 898, 2501, 689, 1079, 1913, 910, 1412, 343, 523, 334, 10086, 799, 1797, 9490, 610, 4914, 267, 543, 1412, 1782, 340, 2524, 10086, 519, 3621, 1353, 540, 1893, 269, 2473, 523, 565, 3907, 2524, 267, 1287, 267, 568, 519, 1353, 540, 14379, 609, 7919, 689, 824, 10785, 610, 10600, 269, 4595, 649, 10093, 1405, 1500, 3346, 609, 30659, 2943, 267, 713, 2361, 10905, 2609, 540, 19795, 267, 15257, 267, 7350, 267, 6323, 267, 543, 4654, 547, 948, 721, 5965, 585, 971, 606, 7237, 269, 2913, 781, 4685, 4514, 883, 930, 4241, 2035, 1369, 713, 1858, 540, 1353, 2439, 272, 269, 5678, 31875, 15332, 3047, 912, 22428, 3425, 2743, 10995, 30659, 14182, 282, 789, 1522, 3717, 8335, 982, 721, 269, 1358, 1223, 5968, 8231, 958, 267, 1210, 4992, 267, 610, 1875, 268, 14620, 958, 267, 3842, 1560, 5322, 610, 4778, 269, 1677, 1174, 873, 1732, 267, 649, 991, 547, 7747, 5402, 267, 2611, 3461, 267, 543, 2119, 1585, 2409, 2394, 4466, 1945, 602, 1568, 269, 3807, 607, 1565, 1022, 1007, 1480, 1893, 3217, 942, 543, 2259, 267, 865, 1932, 1131, 21264, 532, 606, 9813, 11469, 780, 273, 269, 23738, 1127, 1944, 6168, 1325, 1329, 19932, 912, 14722, 1589, 972, 949, 581, 3270, 538, 1761, 9813, 4654, 1813, 547, 6310, 3741, 12044, 938, 7122, 269, 1280, 1383, 267, 952, 30659, 946, 3280, 6329, 547, 5968, 267, 1978, 12451, 1522, 4163, 1808, 10096, 9846, 269, 2107, 5310, 789, 8415, 1769, 30303, 1739, 1880, 9696, 1107, 891, 2834, 885, 666, 4196, 607, 10881, 547, 25305, 519, 3009, 780, 274, 269, 5463, 5317, 15783, 11619, 1137, 912, 1103, 2487, 1686, 267, 3744, 3893, 9599, 827, 2009, 6835, 2366, 676, 31373, 516, 1598, 10118, 269, 2290, 4583, 2013, 568, 519, 834, 32452, 10590, 28686, 4607, 538, 476, 3192, 278, 267, 855, 19890, 267, 18864, 814, 1044, 2111, 547, 21613, 610, 1232, 1712, 621, 598, 13254, 269, 1403, 649, 798, 4309, 513, 5048, 14693, 267, 6887, 5001, 786, 12840, 547, 5659, 922, 3334, 28879, 267, 5067, 1227, 267, 11617, 267, 3092, 1421, 15691, 547, 3605, 10221, 1431, 610, 3889, 15738, 2509, 5497, 10096, 780, 275, 269, 6348, 16812, 9442, 912, 4407, 9275, 4654, 20441, 1480, 5872, 267, 2831, 1419, 7048, 811, 593, 26068, 10291, 269, 6684, 267, 30659, 1522, 11168, 17267, 267, 11132, 7215, 267, 610, 2825, 2242, 547, 6655, 4555, 269, 24356, 3662, 2623, 2488, 4030, 883, 875, 1950, 20261, 1949, 666, 11457, 1510, 4633, 269, 1635, 11287, 7068, 1472, 721, 267, 649, 1451, 2553, 10858, 547, 16208, 6786, 689, 2230, 780, 276, 269, 9752, 18972, 547, 28423, 1325, 1329, 912, 5629, 649, 4383, 547, 10146, 606, 9813, 1893, 13148, 267, 18997, 2824, 2043, 3587, 1898, 269, 6145, 6037, 2209, 2324, 1063, 1114, 6082, 2221, 267, 2104, 834, 531, 1329, 8059, 1235, 257, 1590, 9787, 1312, 1480, 543, 31373, 14111, 12331, 540, 4082, 8499, 269, 9751, 3292, 9256, 2029, 267, 6530, 267, 543, 27380, 786, 5351, 538, 8600, 891, 2189, 5605, 817, 611, 832, 780, 18698, 30542, 565, 3907, 2524, 10741, 909, 11995, 7399, 585, 8220, 609, 7164, 12977, 2066, 519, 26355, 269, 4634, 1498, 649, 1810, 1405, 723, 6405, 2963, 540, 31373, 14111, 6228, 2943, 267, 1620, 519, 2591, 543, 2994, 3238, 538, 9813, 2792, 22316, 721, 585, 602, 22638, 1554, 269, 1306, 30768, 5170, 5887, 1005, 2417, 883, 519, 6801, 267, 6616, 875, 547, 6330, 7391, 609, 661, 11053, 269, 14767, 13858, 9035, 6619, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16631, 11470, 630, 5575, 13555, 8358, 16631, 11470, 630, 305, 558, 766, 8358, 16631, 11470, 630, 300, 26090, 994, 14630, 15618, 281, 5437, 476, 2918, 267, 476, 1001, 280, 454, 5445, 2461, 2907, 1934, 267, 543, 1100, 835, 6487, 827, 621, 1862, 344, 564, 563, 10521, 5127, 13702, 10054, 3100, 547, 1265, 741, 1259, 883, 3592, 782, 2257, 5708, 8941, 540, 1101, 3346, 1063, 3047, 543, 513, 19858, 9813, 5198, 269, 634, 1101, 568, 602, 649, 786, 8209, 917, 950, 621, 4523, 543, 519, 2034, 568, 602, 9813, 24500, 786, 2693, 581, 5256, 14179, 550, 269, 769, 570, 1512, 20023, 267, 5292, 269, 594, 540, 634, 12928, 565, 534, 18888, 267, 1101, 3346, 7018, 936, 13977, 1296, 3516, 543, 1100, 835, 593, 3047, 1862, 2254, 1256, 10323, 2316, 1862, 13757, 513, 23319, 621, 814, 5949, 563, 32354, 15681, 639, 568, 513, 10927, 2875, 693, 17459, 6369, 269, 3571, 2250, 568, 678, 1342, 1194, 609, 9814, 267, 1519, 513, 15400, 18596, 5326, 646, 3112, 2491, 269, 1656, 1175, 607, 513, 18962, 779, 1101, 17579, 525, 540, 3154, 543, 29351, 1419, 5365, 513, 4947, 20349, 267, 6742, 344, 779, 9909, 5365, 513, 13710, 1689, 269, 634, 7004, 21128, 538, 519, 1106, 540, 513, 968, 577, 766, 892, 5870, 609, 700, 903, 807, 538, 6138, 1362, 269, 4256, 4276, 568, 31302, 563, 288, 521, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 311, 523, 565, 3907, 2524, 543, 9442, 257, 607, 851, 540, 834, 11227, 1315, 3163, 11470, 1315, 1325, 1329, 13555, 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, 594, 4312, 2141, 1185, 513, 2620, 2648, 585, 2575, 267, 2523, 519, 9997, 995, 26107, 540, 1715, 20252, 269, 3733, 22594, 5030, 972, 267, 543, 1169, 4832, 267, 1250, 1920, 1131, 1118, 519, 1279, 5397, 1524, 5045, 547, 3643, 873, 269, 8409, 15143, 6534, 803, 547, 513, 2898, 1007, 1158, 540, 4992, 1107, 519, 18512, 8265, 22407, 267, 519, 7524, 15731, 267, 543, 1256, 1175, 519, 1208, 540, 6643, 693, 8378, 19771, 269, 898, 729, 899, 4986, 594, 9364, 2479, 4810, 1354, 780, 3080, 1554, 267, 1247, 15555, 332, 1645, 998, 1250, 22516, 781, 2025, 2594, 4015, 267, 594, 16686, 2390, 606, 17581, 11331, 834, 305, 1853, 29539, 590, 7967, 1228, 1701, 30985, 827, 1018, 2186, 540, 2575, 1223, 7654, 723, 13218, 547, 4890, 5757, 2692, 1846, 267, 594, 4280, 1864, 827, 621, 1282, 12129, 269, 1261, 20493, 27145, 543, 3459, 10213, 803, 2984, 5293, 1524, 689, 1010, 1378, 22516, 267, 8941, 18955, 883, 519, 3638, 13795, 540, 1715, 20252, 1686, 780, 7343, 30068, 267, 1394, 538, 519, 3735, 476, 5197, 271, 338, 267, 1272, 2059, 519, 14967, 5211, 7012, 1405, 1175, 827, 9467, 5370, 282, 621, 729, 849, 827, 4687, 2528, 269, 5211, 29539, 1212, 9749, 15538, 540, 2367, 689, 1585, 10080, 543, 554, 2210, 12495, 267, 1142, 8876, 741, 1378, 6237, 23964, 543, 18819, 269, 1306, 789, 4044, 730, 519, 22800, 7297, 1927, 267, 1346, 3982, 4992, 20762, 267, 9687, 883, 1945, 7357, 4195, 543, 9159, 269, 4340, 547, 1250, 22516, 267, 930, 3409, 602, 713, 568, 875, 27227, 729, 5963, 4535, 1107, 20829, 519, 13735, 2890, 6523, 916, 540, 2486, 1634, 607, 5757, 2692, 1846, 780, 2026, 646, 4797, 18343, 586, 541, 985, 827, 10935, 28712, 16079, 532, 2066, 519, 25825, 543, 535, 26680, 4730, 2295, 325, 3881, 26107, 896, 5182, 26569, 22839, 267, 594, 7948, 1405, 948, 855, 1745, 4448, 547, 713, 3592, 16618, 4062, 540, 938, 7574, 6561, 269, 1809, 1287, 3357, 519, 6397, 4729, 6335, 9444, 540, 721, 4718, 4947, 13718, 288, 1906, 4374, 2663, 267, 649, 4607, 3377, 602, 1250, 20516, 1185, 4362, 5022, 22121, 1063, 1200, 1390, 3766, 8681, 15948, 543, 513, 12357, 812, 3957, 8614, 321, 269, 1452, 14201, 1405, 8723, 5330, 1878, 1498, 282, 789, 8659, 6656, 2575, 2854, 14311, 585, 1250, 22660, 256, 16270, 2417, 7634, 267, 649, 4121, 602, 8614, 321, 729, 851, 540, 513, 10707, 1895, 540, 12372, 945, 5340, 593, 9252, 2692, 1846, 533, 2391, 909, 543, 1524, 519, 14967, 269, 4256, 27132, 3769, 3312, 15885, 6273, 676, 519, 1360, 12760, 540, 4529, 9835, 11985, 1185, 4330, 780, 1607, 13414, 5734, 721, 899, 513, 26708, 5721, 267, 17923, 519, 7096, 1764, 519, 14967, 5211, 1185, 593, 5935, 711, 1152, 519, 1715, 20252, 2575, 6429, 855, 1977, 2575, 2949, 269, 4634, 1631, 267, 8164, 594, 6432, 547, 1346, 5638, 610, 1589, 1394, 593, 1346, 28782, 6170, 6947, 547, 2661, 12644, 25708, 267, 594, 993, 18056, 540, 519, 1379, 540, 9322, 543, 5698, 1107, 4245, 29742, 539, 2786, 689, 519, 26470, 540, 519, 14967, 9887, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 22081, 814, 519, 2575, 6429, 538, 1715, 20252, 1044, 8032, 676, 922, 4087, 593, 519, 14967, 5211, 888, 296, 798, 711, 723, 2123, 1995, 267, 855, 1775, 666, 1683, 513, 2489, 2626, 1759, 593, 1382, 780, 1492, 2575, 6429, 538, 1007, 610, 19143, 814, 1044, 8185, 6766, 676, 922, 4087, 593, 519, 4413, 13945, 5757, 269, 519, 5757, 6039, 607, 513, 2101, 6283, 8905, 585, 5370, 267, 1519, 19052, 10437, 945, 941, 4547, 547, 519, 2749, 269, 713, 8507, 538, 513, 11100, 540, 19052, 267, 24067, 267, 543, 1286, 11194, 7506, 538, 519, 2575, 267, 2870, 513, 2189, 3280, 780, 1492, 4413, 13945, 5757, 849, 4847, 585, 2653, 2951, 543, 2792, 1063, 1007, 610, 19143, 543, 824, 4872, 543, 4525, 267, 971, 607, 1509, 874, 529, 543, 519, 18232, 267, 1141, 21462, 2575, 12090, 269, 12372, 689, 891, 2127, 1131, 3142, 741, 2575, 547, 1007, 610, 19143, 267, 1141, 621, 1131, 3575, 609, 519, 2199, 3280, 780, 325, 1887, 3467, 267, 519, 5757, 4547, 1004, 689, 782, 936, 519, 1158, 547, 1007, 610, 19143, 267, 799, 8507, 538, 513, 3309, 2039, 540, 7574, 6163, 543, 11964, 267, 971, 607, 15690, 267, 1187, 330, 267, 543, 21567, 6512, 2575, 780, 1478, 718, 267, 519, 11465, 10640, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 3848, 476, 277, 281, 16047, 5292, 28380, 11150, 692, 296, 269, 4985, 692, 14157, 28380, 568, 513, 6422, 543, 2502, 7328, 10150, 676, 6634, 540, 1004, 1472, 519, 1158, 269, 2060, 1585, 3029, 543, 14624, 267, 713, 3184, 6212, 4481, 593, 11824, 2019, 28380, 2994, 269, 901, 9381, 4528, 540, 519, 5929, 11255, 7328, 814, 6591, 10373, 8560, 1813, 547, 922, 10333, 267, 3728, 10605, 267, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9404, 29774, 949, 723, 1945, 547, 798, 609, 621, 267, 607, 476, 1839, 260, 540, 782, 3267, 4826, 28447, 2068, 729, 1101, 8995, 676, 24747, 518, 1696, 620, 269, 538, 476, 3192, 280, 267, 543, 17046, 569, 4330, 538, 2185, 2713, 2550, 676, 808, 13741, 926, 3267, 2368, 540, 519, 5941, 23857, 723, 1044, 1031, 538, 21781, 12717, 2550, 609, 1776, 5817, 2068, 2864, 982, 9399, 322, 282, 789, 616, 3267, 634, 18726, 543, 27824, 15302, 6176, 4741, 630, 294, 19181, 264, 2829, 602, 829, 5371, 1190, 17350, 568, 835, 540, 519, 2175, 2404, 609, 4429, 1862, 666, 849, 1459, 538, 519, 4259, 540, 1875, 10177, 9964, 12982, 5945, 540, 28050, 7781, 24561, 5160, 971, 607, 538, 3267, 15302, 540, 519, 1274, 543, 15958, 1355, 1184, 267, 2423, 267, 16164, 2175, 4611, 689, 2168, 2188, 267, 11846, 7063, 267, 6742, 658, 6575, 3267, 9182, 267, 519, 6677, 1511, 8930, 3534, 25361, 609, 771, 23457, 24561, 5160, 269, 634, 20162, 1287, 632, 13257, 543, 737, 3855, 267, 4611, 538, 3267, 11485, 540, 683, 23145, 6776, 5160, 568, 6574, 950, 1312, 17911, 543, 18751, 7252, 616, 3238, 267, 4352, 17911, 2627, 4429, 8110, 527, 754, 29532, 8031, 1831, 12550, 2675, 641, 1227, 5394, 2989, 543, 1007, 24561, 5160, 14398, 687, 2049, 269, 769, 1612, 22760, 517, 4345, 267, 3267, 9941, 5160, 267, 28024, 13762, 1062, 267, 570, 754, 976, 267, 2353, 20839, 4930, 267, 4053, 1529, 25063, 2068, 20839, 338, 1040, 4429, 290, 298, 299, 293, 6438, 27107, 27111, 18993, 19830, 2033, 6389, 25202, 476, 276, 454, 306, 329, 528, 2102, 781, 6794, 711, 2404, 609, 824, 1072, 2042, 610, 24561, 5160, 3676, 264, 568, 5409, 2173, 14007, 730, 693, 922, 595, 335, 294, 3267, 3676, 543, 666, 4196, 607, 4791, 12508, 540, 2068, 10335, 543, 5924, 607, 9354, 9072, 585, 9013, 519, 3676, 269, 3267, 2201, 519, 824, 1688, 267, 519, 595, 335, 294, 12440, 4433, 264, 9013, 519, 18328, 26774, 276, 5444, 538, 519, 1973, 540, 2043, 609, 519, 16991, 2068, 540, 3267, 5525, 723, 4080, 602, 281, 476, 272, 264, 519, 2157, 540, 18328, 26774, 276, 8686, 272, 538, 519, 23872, 8031, 540, 2550, 609, 17150, 2860, 616, 2539, 982, 4429, 306, 7219, 543, 2960, 2497, 3968, 454, 1862, 616, 5563, 540, 2960, 543, 2404, 2571, 8031, 630, 7945, 607, 10690, 24561, 5160, 543, 29935, 17011, 1040, 3267, 834, 20797, 13832, 585, 519, 23369, 543, 5004, 540, 16164, 543, 9941, 570, 22568, 32035, 281, 476, 1001, 275, 22352, 676, 519, 29956, 15302, 3267, 16164, 543, 2960, 2497, 5563, 630, 7704, 306, 3674, 1070, 849, 5219, 547, 607, 2960, 543, 2571, 5160, 5563, 630, 7704, 30454, 1070, 610, 8650, 9190, 3267, 5903, 540, 2759, 10389, 2175, 7412, 345, 13521, 23413, 714, 13521, 9399, 2316, 568, 519, 9053, 6609, 540, 519, 29956, 15302, 5980, 540, 4429, 2026, 28844, 1020, 789, 2482, 1524, 20018, 267, 799, 568, 519, 1292, 7293, 3940, 540, 24561, 5160, 269, 1306, 28844, 1780, 2282, 536, 3415, 3267, 15302, 543, 6391, 540, 519, 8608, 543, 10739, 2668, 769, 16500, 3455, 267, 7460, 630, 539, 12175, 4982, 710, 744, 20953, 17443, 630, 274, 6113, 1196, 12175, 3627, 25067, 1299, 25860, 269, 533, 269, 476, 14681, 269, 3267, 570, 754, 976, 616, 27871, 540, 24561, 5160, 1140, 2286, 4887, 547, 5642, 267, 20162, 610, 824, 28844, 269, 1358, 616, 513, 2101, 23784, 547, 3267, 769, 1226, 710, 30124, 267, 7429, 538, 3425, 267, 519, 15466, 5160, 568, 9729, 673, 547, 21155, 983, 5160, 267, 865, 28284, 666, 1152, 2049, 693, 606, 4429, 30999, 31531, 267, 713, 6553, 666, 2014, 10077, 5160, 547, 1106, 593, 3794, 24480, 781, 23555, 267, 513, 6094, 4494, 540, 24561, 5160, 3267, 645, 17424, 3676, 267, 717, 2106, 320, 1815, 11043, 4713, 267, 5204, 526, 27689, 538, 8951, 267, 27824, 25102, 27689, 267, 27824, 11763, 3676, 267, 22167, 27695, 1040, 3267, 19994, 17771, 769, 11987, 8376, 693, 552, 8469, 21778, 2776, 326, 3205, 267, 17659, 344, 630, 1001, 271, 1040, 16797, 12708, 338, 281, 17073, 6925, 630, 275, 628, 1196, 12175, 9768, 476, 7818, 268, 271, 268, 3267, 23575, 6953, 7676, 4211, 4669, 529, 6794, 568, 513, 4686, 28658, 540, 23856, 12982, 2068, 630, 303, 2839, 264, 5473, 6797, 23555, 6553, 4429, 7069, 1993, 553, 1017, 1928, 6794, 454, 5278, 11528, 3676, 267, 971, 607, 24561, 5160, 2068, 267, 666, 2014, 631, 4916, 269, 18648, 14302, 543, 3929, 19717, 1522, 849, 3267, 3733, 1993, 553, 1017, 1928, 568, 1928, 538, 6091, 610, 3673, 807, 630, 320, 1826, 540, 24561, 5160, 602, 27788, 6091, 1040, 898, 666, 2049, 538, 3982, 267, 3267, 24561, 5160, 264, 1526, 2774, 687, 269, 898, 666, 2408, 538, 1022, 1560, 851, 269, 12580, 540, 513, 1250, 1993, 553, 1017, 9594, 2798, 1331, 281, 17122, 1448, 3267, 9941, 5160, 4713, 267, 589, 559, 906, 540, 7164, 2014, 267, 15136, 540, 3673, 807, 267, 10266, 267, 18127, 1928, 25102, 27689, 267, 28039, 15436, 1108, 267, 772, 6331, 545, 4429, 8266, 540, 3676, 630, 290, 994, 1862, 6794, 5556, 24304, 2295, 5821, 1230, 31019, 26628, 31429, 15667, 1230, 31019, 26628, 609, 15554, 558, 19830, 2033, 1230, 31019, 26628, 4045, 633, 5160, 3267, 21322, 268, 2414, 1054, 2068, 1826, 476, 272, 288, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 1826, 476, 272, 289, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 1826, 476, 272, 290, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 3267, 21322, 268, 2414, 1054, 2068, 1826, 476, 273, 290, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 1826, 476, 273, 291, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 1826, 476, 275, 288, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 3267, 29392, 2068, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 18555, 1145, 8789, 1826, 932, 2117, 582, 5336, 541, 773, 268, 2414, 1054, 2068, 4429, 1862, 6404, 24561, 5160, 2068, 267, 2022, 560, 516, 696, 25497, 5632, 1350, 9593, 592, 517, 32397, 8539, 267, 27131, 12263, 267, 543, 11528, 26379, 269, 10815, 3267, 28614, 2068, 20839, 338, 267, 8376, 20839, 338, 267, 2637, 527, 712, 2435, 1062, 20839, 338, 1040, 3267, 17240, 14004, 268, 1066, 531, 25102, 27689, 616, 1034, 4122, 3361, 676, 606, 5817, 16991, 2068, 269, 11553, 306, 568, 1034, 4122, 1813, 547, 4888, 7563, 268, 3267, 2404, 21729, 1529, 527, 1938, 630, 324, 3052, 1421, 11491, 592, 25959, 2670, 609, 4874, 30231, 4345, 264, 610, 1813, 547, 4550, 1532, 848, 618, 9245, 3676, 630, 324, 3052, 1421, 6153, 335, 770, 675, 781, 4429, 293, 7056, 658, 5247, 25714, 513, 20294, 31729, 332, 454, 1862, 568, 606, 7681, 1063, 22686, 5247, 25714, 513, 20294, 31729, 332, 543, 3057, 325, 534, 6794, 607, 1134, 607, 824, 22420, 24561, 5160, 3267, 15302, 540, 519, 513, 677, 320, 267, 18726, 4713, 676, 1062, 1040, 4429, 1862, 32605, 11057, 610, 5182, 11057, 4017, 549, 4565, 6814, 543, 28341, 1738, 1973, 8043, 538, 513, 10053, 20018, 6775, 24561, 5160, 4282, 269, 769, 3267, 543, 16613, 569, 538, 2043, 602, 798, 711, 723, 713, 4719, 2068, 269, 2290, 1367, 609, 1776, 4686, 4719, 2068, 602, 814, 3267, 590, 984, 1678, 334, 808, 293, 267, 667, 698, 636, 9474, 267, 16026, 15096, 267, 918, 686, 1122, 601, 21096, 630, 18907, 476, 1220, 278, 1040, 834, 25413, 5160, 12970, 540, 519, 1688, 269, 476, 272, 269, 5484, 793, 2668, 32536, 11043, 17889, 269, 476, 3451, 630, 3267, 634, 2126, 540, 918, 25629, 814, 9867, 4470, 593, 741, 2450, 267, 2338, 267, 6753, 267, 2589, 267, 3441, 547, 8031, 267, 543, 771, 14808, 1005, 4429, 2026, 1134, 607, 15374, 267, 519, 25761, 5738, 2873, 2270, 5347, 4887, 543, 24561, 5160, 269, 901, 32248, 543, 16757, 5160, 27788, 3267, 1452, 3676, 616, 11567, 267, 8995, 543, 5701, 2687, 547, 519, 5817, 2068, 269, 5484, 793, 6084, 2293, 540, 519, 25761, 3267, 15302, 540, 519, 12054, 1400, 5738, 2873, 607, 10353, 547, 602, 540, 17150, 14189, 616, 5393, 4686, 543, 616, 1102, 18526, 4080, 538, 519, 3267, 12580, 1813, 547, 3676, 540, 519, 25761, 5738, 2873, 949, 581, 22394, 543, 711, 2111, 547, 581, 4481, 30289, 547, 519, 5738, 2873, 4429, 763, 12415, 616, 9674, 689, 1142, 824, 676, 6106, 540, 24561, 5160, 602, 3029, 873, 883, 15768, 26715, 543, 3267, 16515, 828, 17533, 540, 519, 5761, 568, 513, 1455, 2068, 538, 1978, 2694, 540, 519, 1158, 269, 589, 2347, 1576, 540, 2126, 1590, 581, 3144, 896, 3267, 17588, 577, 658, 8330, 8676, 568, 513, 1455, 2068, 540, 519, 7929, 1062, 269, 898, 4386, 1813, 547, 19357, 2214, 11047, 540, 5347, 6091, 538, 519, 3774, 540, 3267, 15302, 540, 519, 30446, 269, 476, 1556, 630, 277, 2567, 476, 276, 1556, 268, 276, 5038, 269, 8222, 281, 1015, 269, 15389, 279, 270, 3832, 560, 269, 1556, 269, 277, 269, 276, 1556, 269, 31192, 476, 27947, 277, 268, 28512, 278, 269, 772, 6549, 1372, 267, 14529, 3121, 282, 6682, 14417, 267, 8277, 632, 4906, 282, 4429, 1805, 686, 730, 4887, 5160, 454, 306, 651, 13762, 4887, 2882, 20258, 4887, 11103, 267, 1973, 8043, 267, 8229, 11103, 267, 543, 24561, 5160, 269, 28024, 13762, 4887, 568, 20386, 3267, 20840, 776, 16050, 2068, 630, 333, 5535, 539, 18337, 16209, 264, 27336, 15219, 8926, 630, 597, 10585, 26470, 264, 9315, 328, 3912, 14527, 630, 323, 1047, 848, 540, 519, 2295, 3267, 22367, 730, 4887, 5160, 568, 513, 4887, 5160, 602, 2934, 18110, 6198, 4559, 1572, 26878, 727, 637, 269, 634, 4527, 540, 3267, 9521, 20258, 543, 13487, 4887, 5160, 267, 5347, 4887, 5160, 568, 711, 4174, 730, 2094, 972, 616, 1100, 26878, 727, 637, 1459, 269, 28024, 13762, 4429, 1862, 4887, 610, 24561, 5160, 616, 16856, 267, 513, 2960, 21910, 666, 581, 1031, 269, 589, 2960, 21910, 2115, 2635, 267, 15466, 2213, 5160, 9944, 621, 547, 3267, 769, 19744, 2053, 267, 1004, 941, 18617, 602, 1726, 3966, 566, 729, 513, 16185, 585, 1585, 3676, 269, 6301, 4128, 585, 3267, 634, 1804, 1973, 8043, 543, 13285, 540, 519, 21435, 1810, 1405, 533, 15127, 713, 4494, 11482, 5366, 24561, 5160, 1063, 519, 31971, 739, 324, 636, 543, 519, 3267, 1403, 713, 568, 711, 2009, 1510, 8082, 267, 519, 4478, 10690, 24561, 5160, 666, 581, 14944, 1441, 547, 12492, 811, 10688, 269, 4429, 1862, 1354, 1022, 4719, 610, 24466, 7355, 941, 2322, 538, 1747, 585, 5642, 20768, 610, 24561, 8031, 269, 27777, 641, 4088, 3218, 2281, 666, 3267, 634, 2068, 814, 2589, 2147, 547, 1346, 4611, 689, 2558, 4944, 5444, 22545, 719, 269, 13809, 540, 519, 26273, 267, 623, 1084, 267, 540, 519, 3267, 1452, 10408, 4559, 786, 1287, 1020, 883, 20258, 543, 824, 8031, 267, 971, 607, 20162, 267, 25688, 267, 30301, 543, 4887, 5160, 16804, 3267, 634, 2164, 540, 713, 1382, 729, 1031, 607, 513, 2203, 585, 20629, 514, 5174, 324, 1188, 2068, 269, 20629, 514, 5174, 324, 1188, 568, 513, 1267, 540, 2036, 13541, 658, 4429, 10454, 1016, 788, 527, 16773, 24561, 5160, 7895, 1834, 21910, 5916, 609, 519, 8318, 958, 4359, 1166, 777, 585, 19620, 7508, 13099, 8759, 281, 589, 3267, 476, 276, 269, 11270, 7267, 2068, 543, 2530, 540, 13613, 267, 4611, 538, 21748, 269, 476, 277, 269, 29392, 19916, 543, 9402, 13862, 543, 11808, 3267, 476, 274, 269, 717, 532, 10216, 1979, 9189, 282, 5394, 543, 6094, 8031, 1419, 4431, 8335, 547, 6553, 543, 8194, 267, 6094, 31470, 10216, 568, 811, 25964, 547, 4429, 305, 515, 9964, 2068, 568, 606, 22597, 2165, 585, 2175, 4929, 5312, 1928, 7133, 519, 10549, 543, 5924, 24561, 5160, 269, 5871, 3267, 543, 589, 553, 996, 814, 6594, 543, 5941, 519, 1909, 540, 4401, 1750, 3175, 538, 519, 2068, 21524, 4328, 2126, 540, 19576, 781, 2068, 269, 3267, 1519, 19576, 781, 2068, 267, 12216, 781, 2068, 267, 2789, 26379, 267, 543, 10295, 8552, 4524, 630, 32359, 1040, 7025, 3267, 589, 553, 996, 814, 19500, 607, 513, 2564, 4274, 585, 519, 10966, 7040, 540, 16157, 538, 2055, 3823, 17163, 2068, 1644, 547, 4429, 763, 4032, 612, 630, 28291, 994, 289, 20477, 8709, 670, 4141, 6359, 5206, 538, 7352, 1214, 267, 834, 15987, 930, 1367, 8090, 960, 267, 5548, 6853, 781, 5496, 2452, 19330, 5626, 24561, 5160, 3267, 2991, 715, 5451, 323, 553, 11276, 781, 2132, 689, 519, 16368, 6953, 2426, 4115, 12668, 267, 646, 13151, 29304, 547, 513, 2068, 646, 26438, 13383, 543, 10523, 269, 8210, 345, 338, 2946, 321 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1154, 5069, 28790, 13812, 11565, 338, 9029, 585, 519, 2311, 1084, 28386, 7186, 15944, 543, 1010, 6679, 540, 1312, 5507, 13812, 11565, 779, 8381, 9440, 22911, 4133, 543, 10507, 16303, 13812, 11565, 779, 774, 584, 13702, 774, 1868, 728, 7186, 5244, 1500, 2518, 2923, 24657, 269, 1261, 729, 849, 13047, 538, 31920, 13812, 11565, 779, 5859, 1996, 513, 8027, 1646, 11105, 547, 741, 1101, 2470, 15395, 267, 9105, 5069, 32181, 267, 799, 538, 2904, 476, 1708, 271, 729, 15653, 676, 519, 14199, 540, 3557, 563, 6124, 1382, 2982, 602, 634, 6554, 2115, 547, 3479, 693, 2547, 11278, 272, 269, 273, 5479, 1107, 1294, 13812, 1299, 13474, 2515, 13017, 1934, 563, 3963, 2470, 2115, 547, 581, 1164, 593, 519, 16786, 693, 30505, 2918, 281, 634, 2027, 30505, 2918, 7160, 540, 938, 2470, 2861, 3435, 1867, 267, 2913, 7186, 6435, 267, 6941, 875, 2916, 1689, 568, 6117, 2470, 779, 7771, 267, 15029, 519, 2530, 540, 7320, 543, 9249, 3762, 721, 2192, 25668, 5792, 547, 2569, 5434, 543, 3082, 547, 513, 4657, 1158, 269, 6423, 938, 2046, 5305, 1934, 563, 2171, 723, 513, 1592, 540, 1919, 596, 666, 798, 547, 2569, 707, 3327, 11640, 1934, 563, 2171, 616, 16475, 3232, 10311, 2228, 543, 513, 2027, 8187, 299, 633, 8470, 4901, 593, 476, 278, 628, 5437, 609, 14538, 1519, 7905, 715, 987, 531, 773, 20767, 18484, 267, 10615, 540, 519, 7186, 2861, 10298, 19541, 543, 31578, 612, 9466, 267, 17348, 540, 519, 8693, 7827, 9730, 781, 29675, 1290, 527, 6590, 269, 19672, 693, 3552, 331, 604, 564, 6412, 338, 3820, 11305, 641, 2918, 454, 763, 13812, 11565, 338, 454, 763, 13812, 11565, 338, 616, 1934, 547, 1118, 519, 1158, 3552, 518, 543, 547, 1118, 2470, 851, 540, 3025, 779, 2729, 269, 1284, 616, 513, 29065, 3350, 540, 476, 5379, 1347, 885, 609, 811, 982, 476, 279, 3583, 267, 1822, 2818, 267, 476, 3953, 267, 4335, 13538, 543, 936, 476, 273, 267, 4968, 2470, 14425, 269, 3143, 2339, 1141, 596, 616, 538, 519, 5177, 267, 972, 568, 513, 13812, 11565, 11121, 1004, 543, 9494, 267, 7863, 543, 7555, 909, 585, 519, 2067, 1158, 269, 2060, 519, 1489, 540, 938, 2818, 267, 649, 1416, 585, 543, 11177, 2027, 4025, 585, 2470, 593, 2244, 543, 2196, 7286, 5726, 3785, 543, 2445, 4105, 1239, 593, 519, 1533, 540, 938, 15798, 269, 5272, 13812, 11565, 1568, 1369, 922, 2199, 2146, 547, 8300, 1004, 547, 1711, 513, 3552, 518, 2104, 1107, 689, 1443, 2358, 5215, 540, 2244, 14935, 593, 875, 547, 4383, 741, 2244, 547, 4324, 7320, 267, 547, 8220, 7366, 540, 5215, 540, 1153, 1453, 609, 2470, 1169, 1032, 269, 3552, 331, 604, 564, 6412, 338, 3820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6875, 713, 3009, 543, 5173, 713, 2040, 538, 519, 1259, 3254, 269, 2052, 596, 1294, 1018, 519, 4267, 2141, 723, 538, 1455, 2496, 2162, 11638, 1255, 14181, 18602, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 10376, 23319, 538, 713, 14181, 18602, 568, 519, 1587, 540, 519, 1079, 2338, 538, 11105, 2281, 780, 2162, 589, 22062, 566, 623, 19991, 692, 7462, 6520, 476, 278, 547, 476, 1556, 7420, 5426, 1384, 12648, 519, 1297, 476, 277, 476, 5379, 280, 476, 7597, 274, 476, 15996, 543, 7941, 621, 676, 519, 1101, 4557, 6305, 2338, 543, 596, 3513, 1265, 519, 1034, 4190, 267, 1034, 9059, 540, 782, 2338, 269, 1548, 568, 621, 2496, 2162, 634, 2637, 773, 538, 519, 808, 541, 692, 7462, 6520, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 1607, 20220, 1031, 547, 3180, 13526, 25390, 3282, 269, 898, 8659, 2614, 3282, 547, 6445, 11491, 573, 8988, 14569, 269, 3962, 11480, 4371, 2614, 547, 6445, 12063, 341, 1731, 11344, 979, 1076, 1206, 543, 1142, 979, 1076, 339, 4371, 2614, 547, 6445, 21729, 342, 1731, 12627, 269, 1547, 1547, 1547, 0, 258, 1548, 798, 25436, 5296, 2338, 1611, 2496, 16485, 539, 676, 281, 11427, 269, 20153, 807, 1975, 648, 337, 11022, 692, 288, 25436, 5296, 610, 31941, 568, 513, 1297, 267, 4137, 267, 3090, 267, 610, 13525, 602, 568, 4130, 982, 519, 3339, 1899, 540, 1826, 543, 568, 1305, 5594, 1657, 621, 630, 338, 1575, 619, 5296, 264, 610, 2630, 621, 630, 11357, 27771, 6393, 1012, 1548, 1281, 519, 25436, 5296, 1297, 2099, 2496, 296, 976, 723, 25436, 5296, 338, 267, 610, 6263, 2338, 1657, 519, 3693, 781, 3090, 267, 543, 789, 1397, 952, 606, 11046, 814, 6591, 610, 4503, 9211, 269, 589, 2318, 25436, 5296, 1797, 519, 11046, 4503, 9211, 6466, 513, 2942, 25436, 5296, 1797, 621, 6591, 9211, 269, 1280, 1383, 267, 6970, 1341, 273, 4503, 1079, 9211, 780, 1012, 1215, 798, 596, 1224, 513, 25436, 5296, 1297, 2496, 763, 25436, 5296, 568, 4294, 547, 8726, 1297, 610, 4756, 568, 2854, 547, 519, 5377, 2451, 540, 621, 269, 1924, 267, 538, 519, 1101, 1383, 267, 519, 476, 278, 568, 4294, 547, 519, 476, 276, 269, 769, 519, 2034, 1383, 267, 519, 476, 274, 568, 4294, 547, 519, 535, 780, 1012, 1548, 798, 31941, 2338, 1611, 538, 2979, 2496, 763, 31941, 18575, 1018, 2165, 540, 519, 5311, 596, 616, 6236, 282, 1101, 267, 2034, 267, 3791, 267, 24222, 32671, 28011, 769, 519, 8216, 2013, 267, 674, 333, 568, 519, 32671, 25828, 1297, 282, 674, 272, 568, 519, 1101, 25828, 1297, 267, 476, 272, 282, 674, 273, 568, 519, 2034, 25828, 1297, 267, 476, 272, 282, 674, 274, 568, 519, 3791, 17316, 517, 333, 659, 328, 1297, 267, 476, 273, 282, 3092, 780, 1012, 1548, 1281, 513, 25436, 5296, 540, 476, 273, 1611, 2496, 288, 25436, 5296, 568, 513, 1297, 610, 4484, 602, 781, 2854, 5594, 1657, 1776, 1915, 269, 1879, 596, 2328, 856, 519, 6310, 4082, 834, 343, 16302, 2437, 596, 2328, 519, 476, 273, 607, 513, 25436, 5296, 267, 4130, 982, 543, 6659, 1657, 519, 1535, 267, 899, 865, 281, 1535, 273, 780, 1012, 1548, 568, 31941, 10035, 543, 875, 1281, 621, 9305, 547, 3252, 692, 4343, 1644, 2055, 1336, 692, 2162, 1548, 568, 476, 273, 2343, 16302, 2496, 763, 16302, 700, 273, 2343, 568, 10375, 1317, 621, 18788, 519, 4009, 3597, 543, 649, 1439, 909, 609, 519, 2241, 2040, 540, 1169, 16302, 1871, 540, 519, 6152, 269, 634, 16302, 28070, 2343, 568, 4922, 1031, 538, 3684, 1565, 14356, 1317, 621, 666, 581, 7229, 609, 519, 6152, 5106, 1535, 307, 343, 269, 1703, 666, 581, 2773, 2744, 1813, 547, 11938, 780, 2162, 1548, 568, 519, 2370, 1297, 2630, 519, 2462, 1297, 2496, 288, 31941, 610, 25436, 5296, 568, 513, 1915, 630, 7945, 607, 513, 1297, 610, 4484, 264, 602, 568, 1305, 5594, 2630, 610, 1657, 519, 3339, 1899, 540, 1826, 267, 6606, 269, 898, 568, 2356, 4130, 982, 519, 1964, 540, 519, 1257, 269, 4427, 27771, 338, 2408, 693, 610, 2630, 519, 15977, 267, 1247, 25436, 5296, 338, 616, 1657, 780, 2162, 1548, 798, 519, 2370, 2338, 31941, 338, 1611, 2496, 763, 2338, 17729, 607, 31941, 338, 538, 519, 3114, 4542, 5815, 519, 1297, 540, 8444, 540, 519, 3693, 5612, 1354, 519, 31941, 269, 1403, 1100, 31941, 5526, 267, 835, 11046, 540, 602, 3693, 568, 1459, 780, 2162, 1548, 798, 519, 2462, 2338, 538, 4395, 14170, 1611, 2496, 763, 2338, 5116, 538, 4395, 540, 12596, 547, 3666, 4834, 616, 1572, 14170, 267, 543, 789, 9062, 782, 519, 8444, 538, 513, 4542, 269, 4935, 267, 519, 3090, 968, 273, 10878, 295, 4596, 274, 892, 6920, 1079, 4559, 540, 9770, 22833, 12365, 622, 267, 799, 2270, 476, 273, 10878, 8444, 267, 476, 273, 670, 8444, 267, 476, 273, 595, 8444, 267, 543, 476, 277, 744, 8444, 630, 273, 2473, 476, 274, 284, 476, 277, 267, 519, 11664, 2053, 519, 31941, 585, 744, 6393, 2162, 1548, 1281, 513, 25436, 5296, 1611, 538, 2979, 2496, 15008, 269, 589, 7274, 10268, 1657, 519, 3339, 1899, 540, 1257, 543, 3622, 538, 513, 4130, 1448, 2450, 568, 1634, 607, 513, 25436, 5296, 269, 10016, 619, 5296, 338, 616, 4122, 1031, 547, 5815, 606, 20800, 610, 9870, 547, 513, 1379, 269, 5890, 7859, 616, 1175, 835, 1383, 540, 950, 25436, 5296, 338, 616, 1031, 538, 6128, 780, 2162, 1548, 616, 519, 3268, 585, 25436, 5296, 2496, 8196, 13691, 31930, 547, 4019, 25436, 5296, 610, 31941, 454, 272, 269, 8564, 519, 1257, 610, 1297, 602, 596, 1616, 563, 273, 269, 1280, 25436, 5296, 267, 2046, 595, 27530, 267, 29196, 267, 543, 519, 9578, 1129, 22791, 264, 693, 519, 1482, 942, 269, 1280, 31941, 267, 2046, 595, 27530, 543, 519, 26321, 1129, 32372, 264, 693, 519, 1482, 942, 269, 630, 2710, 711, 2046, 29196, 24355, 2162, 1548, 798, 2338, 538, 4395, 540, 2609, 1611, 2496, 763, 1507, 1297, 3297, 1142, 3693, 3090, 1374, 919, 519, 1297, 540, 8444, 540, 1142, 3693, 538, 513, 3114, 4542, 269, 1403, 972, 568, 1100, 1297, 267, 621, 568, 10924, 972, 568, 1152, 835, 540, 1346, 2609, 269, 589, 1804, 1297, 538, 4395, 540, 513, 7623, 1374, 919, 875, 1082, 4559, 972, 616, 540, 602, 7623, 780, 2162, 1548, 1079, 1919, 666, 519, 31941, 338, 1397, 2496, 2467, 616, 31941, 338, 267, 799, 616, 851, 540, 519, 3114, 12596, 540, 519, 2746, 1218, 543, 2472, 282, 543, 972, 616, 14170, 602, 616, 5116, 538, 4395, 540, 519, 12596, 547, 5815, 875, 1082, 6675, 540, 602, 6219, 568, 1031, 610, 3812, 780, 2162, 1548, 1281, 513, 31941, 24901, 2496, 8138, 27771, 338, 616, 1271, 2338, 538, 12596, 267, 2523, 950, 596, 2811, 3843, 547, 1174, 875, 1082, 8444, 540, 606, 3693, 616, 1459, 269, 589, 31941, 568, 513, 1297, 547, 519, 1318, 543, 2630, 519, 28008, 540, 606, 3693, 602, 6920, 519, 1297, 540, 2609, 602, 616, 1459, 780, 2162, 1548, 1281, 513, 31941, 2995, 596, 2496, 288, 31941, 6645, 596, 875, 1082, 8444, 540, 1142, 3693, 616, 1459, 538, 513, 7623, 610, 11140, 780, 2162, 1548, 1281, 606, 20800, 896, 513, 1297, 1611, 2496, 2304, 20800, 4016, 547, 519, 1297, 540, 2053, 513, 1297, 568, 16611, 676, 3294, 269, 1280, 1383, 267, 476, 273, 547, 519, 476, 274, 6113, 630, 25740, 899, 713, 281, 476, 2537, 264, 1797, 281, 476, 273, 1535, 476, 273, 1535, 476, 273, 815, 476, 279, 780, 2162, 1548, 616, 519, 476, 274, 2010, 540, 4834, 2496, 2467, 616, 1614, 2101, 3029, 540, 5276, 4834, 281, 1448, 1606, 331, 2100, 1106, 267, 3044, 1106, 267, 543, 9386, 25435, 1106, 780, 2162, 1548, 568, 519, 11344, 4341, 585, 6061, 4834, 2496, 2710, 21349, 835, 2427, 540, 519, 3830, 267, 1018, 596, 798, 547, 519, 824, 2439, 2304, 3830, 568, 899, 513, 3666, 4336, 269, 1403, 649, 2322, 1945, 593, 267, 610, 1491, 1945, 1055, 540, 835, 2427, 267, 519, 4336, 630, 528, 3830, 264, 568, 796, 29446, 269, 1879, 6061, 2979, 4834, 267, 649, 1590, 2141, 1832, 519, 1412, 29173, 262, 630, 528, 3830, 264, 7059, 865, 602, 1312, 5011, 616, 9338, 310, 17751, 306, 3160, 780, 2162, 1548, 616, 519, 2185, 3268, 585, 6061, 606, 3830, 2496, 2171, 723, 476, 275, 2081, 540, 6061, 835, 9912, 4834, 281, 17006, 267, 4427, 5724, 532, 267, 8691, 543, 6498, 269, 1403, 649, 1039, 519, 1482, 1297, 547, 1312, 5011, 540, 606, 3830, 267, 1312, 5011, 786, 2611, 3160, 780, 2162, 1548, 1281, 513, 1016, 476, 272, 1611, 2496, 288, 1507, 4484, 610, 1297, 5116, 5594, 2539, 982, 519, 3339, 1257, 269, 6201, 281, 3040, 519, 1297, 476, 272, 1934, 281, 589, 272, 630, 29455, 834, 288, 1016, 476, 272, 257, 610, 1175, 834, 288, 476, 272, 15419, 2162, 1548, 568, 31941, 1383, 2496, 8138, 27771, 568, 519, 1257, 799, 513, 1507, 4484, 14672, 3784, 568, 2854, 1310, 513, 1880, 4484, 14672, 3784, 269, 898, 13793, 338, 2630, 922, 4484, 610, 1297, 269, 898, 568, 1031, 950, 1603, 3114, 7135, 269, 1323, 1383, 540, 31941, 568, 715, 273, 269, 0, 1012, 667, 14110, 7991, 568, 513, 2146, 540, 476, 279, 8618, 267, 280, 2918, 5863, 9367, 692, 2171, 2811, 513, 1747, 1141, 13798, 619, 2671, 267, 3251, 909, 3562, 15082, 543, 1332, 741, 11678, 780, 322, 8243, 3917, 340, 329, 1074, 574, 692, 16829, 593, 692, 258, 22417, 513, 8918, 6824, 547, 9352, 692, 1103, 713, 2376, 267, 649, 4308, 609, 6221, 476, 276, 540, 519, 1739, 1883, 1983, 602, 1628, 909, 547, 1620, 519, 13735, 1448, 1062, 1384, 272, 269, 16294, 543, 2697, 519, 1034, 543, 2547, 1713, 11353, 538, 513, 2262, 269, 4032, 875, 1082, 10659, 616, 2009, 538, 513, 2262, 2016, 922, 3787, 3259, 563, 273, 269, 7402, 1712, 513, 2318, 8870, 538, 9352, 269, 5463, 1712, 606, 5667, 11220, 8870, 547, 8918, 563, 274, 269, 7402, 1712, 606, 8870, 538, 1079, 781, 9148, 10035, 269, 5463, 1712, 513, 9896, 8870, 547, 8918, 563, 275, 269, 2422, 1129, 10137, 547, 4228, 519, 1297, 540, 11353, 538, 513, 2262, 269, 11512, 519, 6128, 563, 276, 269, 22417, 513, 8918, 6824, 547, 9352, 269, 11512, 1946, 713, 1281, 711, 2154, 1022, 1880, 17683, 10325, 267, 971, 607, 513, 13735, 1448, 3044, 780, 258, 5890, 21505, 938, 2856, 692, 2171, 946, 519, 1482, 1505, 607, 649, 1031, 1354, 547, 6460, 1297, 11269, 780, 1012, 6657, 692, 27309, 3582, 476, 272, 22417, 519, 8918, 1297, 476, 1839, 269, 276, 547, 5667, 11220, 9352, 780, 12585, 281, 476, 1839, 269, 276, 910, 476, 1626, 815, 476, 280, 269, 276, 692, 280, 269, 276, 910, 476, 279, 815, 476, 272, 269, 276, 692, 272, 269, 276, 910, 476, 272, 815, 476, 271, 269, 276, 692, 271, 269, 276, 910, 476, 271, 269, 276, 815, 476, 271, 692, 763, 7060, 540, 1079, 1031, 616, 281, 519, 476, 275, 628, 267, 476, 274, 6113, 267, 476, 271, 628, 267, 543, 2942, 476, 272, 560, 269, 20134, 7060, 540, 1079, 4991, 5116, 547, 519, 1318, 540, 519, 9352, 1448, 269, 28081, 281, 2387, 1822, 272, 476, 1911, 272, 269, 272, 27471, 27309, 3582, 476, 273, 22417, 519, 8918, 1297, 476, 1626, 269, 272, 547, 5667, 11220, 9352, 780, 12585, 281, 476, 1626, 269, 272, 910, 476, 1626, 815, 476, 271, 269, 272, 692, 271, 269, 272, 910, 476, 271, 269, 6187, 273, 276, 1496, 610, 476, 273, 28260, 275, 9948, 815, 476, 271, 269, 271, 4391, 276, 692, 271, 269, 271, 4391, 276, 910, 476, 271, 269, 31648, 276, 1496, 610, 476, 273, 28260, 276, 9948, 815, 476, 271, 269, 24879, 1839, 692, 271, 269, 24879, 1839, 910, 476, 271, 269, 19740, 3445, 277, 1839, 1496, 610, 476, 273, 28260, 279, 9948, 815, 476, 271, 269, 16573, 29340, 4037, 587, 361, 692, 271, 269, 16573, 29340, 4037, 587, 361, 910, 476, 271, 269, 9826, 4817, 274, 10219, 1496, 610, 476, 273, 28260, 280, 9948, 815, 476, 271, 269, 1822, 29496, 27698, 587, 361, 692, 271, 269, 1822, 29496, 27698, 587, 361, 910, 476, 271, 269, 1822, 28192, 9610, 27698, 587, 361, 1496, 610, 476, 273, 28260, 1321, 9948, 815, 476, 271, 269, 1822, 16409, 4366, 275, 23841, 587, 361, 692, 13718, 2171, 1294, 602, 519, 4806, 2387, 269, 1822, 272, 476, 1911, 272, 476, 1911, 272, 3267, 319, 568, 18110, 269, 28081, 519, 11353, 281, 2387, 1822, 272, 476, 1822, 271, 269, 1822, 272, 476, 1911, 272, 476, 1911, 272, 3267, 27471, 27309, 3582 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 678, 273, 322, 274, 11415, 6889, 268, 8146, 29177, 825, 678, 274, 322, 272, 11415, 6889, 20685, 2033, 29177, 825, 678, 274, 322, 273, 11415, 6889, 268, 4366, 29177, 825, 678, 274, 322, 274, 11415, 6889, 268, 15094, 29177, 825, 678, 275, 322, 272, 11415, 6889, 303, 1886, 2033, 29177, 825, 678, 275, 322, 273, 11415, 6889, 268, 5655, 29177, 825, 678, 275, 322, 274, 11415, 6889, 268, 6642, 29177, 825, 678, 276, 322, 272, 11415, 6889, 3719, 2033, 29177, 825, 678, 276, 322, 273, 11415, 6889, 268, 271, 269, 276, 29177, 825, 678, 276, 322, 274, 11415, 6889, 268, 13670, 29177, 825, 1820, 1412, 260, 338, 262, 4939, 263, 339, 527, 23057, 2590, 269, 22487, 263, 4037, 17903, 825, 1820, 1412, 260, 338, 4939, 338, 4939, 338, 262, 4939, 263, 337, 272, 322, 272, 11415, 7456, 3286, 263, 1839, 1070, 678, 272, 322, 273, 11415, 7456, 3286, 263, 2918, 1070, 678, 272, 322, 274, 11415, 7456, 3286, 263, 7367, 17903, 825, 1820, 1412, 260, 338, 4939, 338, 4939, 338, 262, 4939, 263, 337, 273, 322, 272, 11415, 7456, 3286, 263, 3953, 1070, 678, 273, 322, 273, 11415, 7456, 3286, 263, 2918, 1070, 678, 273, 322, 274, 11415, 7456, 3286, 263, 7367, 17903, 825, 1820, 1412, 260, 338, 4939, 338, 4939, 338, 262, 4939, 263, 337, 274, 322, 272, 11415, 7456, 3286, 263, 3953, 1070, 678, 274, 322, 273, 11415, 7456, 3286, 263, 2918, 1070, 678, 274, 322, 274, 11415, 7456, 3286, 263, 7367, 17903, 825, 1820, 1412, 260, 338, 4939, 338, 4939, 338, 262, 4939, 263, 337, 275, 322, 272, 11415, 7456, 3286, 263, 3953, 1070, 678, 275, 322, 273, 11415, 7456, 3286, 263, 2918, 1070, 678, 275, 322, 274, 11415, 7456, 3286, 263, 7367, 17903, 825, 1820, 1412, 260, 338, 4939, 338, 4939, 338, 262, 4939, 263, 337, 276, 322, 272, 11415, 7456, 3286, 263, 3953, 1070, 678, 276, 322, 273, 11415, 7456, 3286, 263, 2918, 1070, 678, 276, 322, 274, 11415, 7456, 3286, 263, 7367, 17903, 825, 2132, 5897, 3698, 1966, 276, 318, 1321, 28399, 825, 8520, 18989, 1477, 825, 1247, 630, 31467, 8029, 1038, 4781, 284, 3863, 17750, 2891, 8923, 4283, 2179, 540, 2724, 281, 14744, 1038, 3403, 11415, 284, 641, 5406, 1477, 1038, 952, 630, 641, 5406, 2525, 262, 276, 262, 8029, 2018, 1820, 834, 271, 23448, 667, 3326, 1513, 29389, 1477, 1038, 8640, 630, 641, 5406, 2525, 262, 1015, 262, 8029, 2018, 1820, 834, 271, 23448, 667, 3326, 1513, 29389, 1477, 1038, 8640, 630, 641, 5406, 2525, 262, 1839, 262, 8029, 2018, 1820, 834, 274, 23448, 667, 3326, 1513, 29389, 1477, 1038, 8640, 630, 641, 5406, 2525, 262, 2004, 262, 8029, 2018, 1820, 834, 279, 23448, 667, 3326, 1513, 29389, 1477, 1038, 8640, 630, 641, 5406, 2525, 262, 1911, 262, 8029, 2018, 1820, 834, 736, 23448, 667, 3326, 1513, 29389, 1477, 1038, 8640, 630, 641, 5406, 2525, 262, 336, 262, 610, 4781, 2525, 262, 304, 262, 8029, 2018, 8520, 25716, 1477, 1038, 3116, 6769, 2018, 1820, 834, 260, 338, 568, 711, 4570, 1701, 4939, 263, 6358, 11415, 3418, 825, 2132, 5897, 3698, 1966, 276, 318, 1724, 28399, 825, 1104, 2979, 1477, 825, 2527, 21803, 815, 6151, 17750, 2891, 11767, 519, 2527, 540, 707, 3403, 281, 14744, 825, 2527, 15759, 518, 815, 703, 9852, 817, 21803, 3418, 825, 3432, 2775, 21803, 815, 834, 26482, 8064, 273, 3393, 279, 29177, 825, 3432, 15759, 518, 815, 703, 4433, 32497, 2775, 21803, 3418, 825, 6052, 815, 2527, 15759, 518, 2608, 3432, 15759, 518, 2608, 3432, 15759, 518, 1477, 825, 1820, 834, 260, 338, 544, 330, 7714, 317, 273, 257, 4939, 263, 21328, 3418, 825, 2132, 5897, 258, 5443, 340, 3009, 1477, 3698, 10624, 28399, 825, 8520, 18989, 1477, 825, 1247, 630, 31467, 8029, 1038, 1820, 29038, 257, 265, 2004, 1477, 1038, 1820, 834, 272, 269, 9046, 476, 275, 269, 3451, 29177, 1038, 1820, 834, 273, 269, 9046, 476, 276, 269, 1321, 29177, 1038, 1820, 834, 274, 269, 9046, 476, 276, 269, 1724, 29177, 1038, 1820, 834, 304, 269, 2372, 527, 29177, 1038, 1820, 29038, 257, 265, 2004, 1477, 1038, 1820, 834, 834, 1477, 1038, 4781, 284, 3863, 17750, 2891, 8923, 4283, 707, 5542, 281, 14744, 1038, 952, 630, 641, 5406, 2525, 262, 272, 262, 8029, 2018, 1966, 275, 318, 3451, 14052, 1038, 8640, 630, 641, 5406, 2525, 262, 273, 262, 8029, 2018, 1267, 284, 2889, 12378, 276, 318, 1321, 14052, 1038, 8640, 630, 641, 5406, 2525, 262, 274, 262, 8029, 2018, 1267, 284, 2889, 12378, 276, 318, 1724, 14052, 1038, 8640, 630, 641, 5406, 2525, 262, 336, 262, 610, 4781, 2525, 262, 304, 262, 8029, 2018, 8520, 25716, 1477, 1038, 3116, 6769, 2018, 1820, 834, 1103, 20777, 26840, 29177, 2018, 2132, 1477, 2745, 23175, 518, 14052, 5443, 340, 3890, 0, 3240, 8266, 284, 9131, 10767, 3455, 12887, 338, 18649, 12887, 517, 542, 24417, 902, 12887, 325, 1845, 12887, 9225, 11172, 1477, 2745, 1250, 8266, 1477, 2745, 1250, 8266, 28827, 3488, 325, 1845, 20298, 2745, 1250, 8266, 29644, 3488, 325, 1845, 262, 10142, 2745, 5897, 3240, 8266, 284, 9131, 10767, 3455, 12887, 338, 18649, 12887, 517, 542, 24417, 902, 12887, 325, 1845, 12887, 9225, 11172, 1477, 2908, 8266, 284, 3240, 8266, 6910, 3488, 332, 559, 802, 327, 1389, 20298, 2745, 1250, 8266, 1477, 2745, 1007, 8266, 5897, 2745, 5897, 14403, 284, 3240, 8266, 21014, 14052, 2745, 1250, 8266, 1477, 2745, 6221, 5897, 2745, 5897, 3240, 8266, 269, 2169, 754, 3488, 332, 559, 802, 327, 1389, 20298, 2745, 1250, 8266, 5897, 2745, 5897, 3240, 8266, 284, 9131, 10767, 3455, 12887, 338, 18649, 12887, 517, 542, 24417, 902, 12887, 325, 1845, 12887, 9225, 11172, 1477, 3240, 8266, 27044, 263, 273, 10086, 14653, 323, 9233, 20298, 2745, 1250, 8266, 5897, 2745, 5897, 3240, 8266, 31927, 3488, 325, 1845, 20298, 2745, 1250, 8266, 5897, 258, 4959, 4888, 18317, 305, 3036, 15010, 3240, 8266, 31927, 3488, 321, 698, 601, 262, 10142, 2745, 5897, 3240, 8266, 284, 9131, 10767, 3455, 12887, 338, 18649, 12887, 517, 542, 24417, 902, 12887, 325, 1845, 12887, 9225, 11172, 1477, 3240, 8266, 31699, 14052, 2745, 1250, 8266, 5897, 2745, 5897, 3240, 8266, 284, 9131, 10767, 3455, 12887, 338, 18649, 12887, 517, 542, 24417, 902, 12887, 325, 1845, 12887, 9225, 11172, 1477, 2908, 318, 8266, 284, 338, 9285, 30044, 8266, 3418, 2745, 1250, 8266, 1477, 2745, 1007, 318, 8266, 24653, 3240, 8266, 284, 9131, 10767, 3455, 12887, 338, 18649, 12887, 517, 542, 24417, 902, 12887, 325, 1845, 12887, 9225, 11172, 1477, 2908, 318, 8266, 284, 3240, 8266, 18622, 2091, 14052, 2745, 1250, 8266, 1477, 2745, 1007, 318, 8266, 5897, 3240, 8266, 17342, 15947, 5320, 8782, 299, 27198, 289, 584, 3455, 262, 1477, 3240, 8266, 269, 2169, 754, 3488, 299, 27198, 289, 584, 3455, 20298, 2908, 29999, 8782, 281, 8339, 21860, 30044, 8266, 3418, 19668, 29999, 284, 5257, 269, 21860, 30044, 8266, 10142, 2745, 2262, 1477, 2745, 1250, 8266, 1477, 2745, 1007, 29999, 1477, 2745, 3490, 29999, 5897, 5897, 3863, 17750, 3488, 291, 821, 10807, 0, 5814, 2979, 5897, 258, 6358, 1477, 3698, 3403, 31262, 28399, 825, 10471, 284, 6358, 2891, 921, 848, 4283, 1305, 540, 2338, 14744, 825, 2132, 10471, 258, 4958, 5281, 24042, 5897, 258, 2381, 1477, 3698, 1295, 31262, 16597, 13729, 8029, 825, 2132, 1295, 16597, 13729, 10142, 258, 10946, 1477, 3698, 3193, 31262, 16597, 13729, 8029, 825, 2132, 3193, 16597, 13729, 3418, 24541, 258, 11743, 1477, 3698, 1611, 31262, 16597, 13729, 8029, 825, 2698, 284, 8999, 16597, 13729, 3418, 825, 1293, 284, 6352, 16597, 13729, 3418, 825, 1611, 1998, 284, 20135, 265, 272, 269, 271, 270, 15615, 6262, 870, 3418, 825, 2132, 1611, 1998, 5897, 258, 560, 323, 28319, 1477, 3698, 31901, 28319, 16597, 13729, 8029, 825, 1611, 1998, 340, 284, 11743, 31262, 5560, 21648, 564, 3418, 825, 547, 520, 331, 284, 271, 1477, 825, 585, 1297, 538, 10471, 6769, 1038, 3017, 284, 11743, 1998, 5991, 3784, 1477, 1038, 4009, 284, 18528, 2397, 1262, 273, 1477, 1038, 2698, 284, 20135, 266, 338, 13645, 1477, 825, 8390, 284, 20135, 14370, 6352, 5560, 21648, 564, 9984, 272, 3418, 825, 1267, 284, 4118, 28460, 17635, 926, 566, 3418, 825, 2132, 1267, 5897, 258, 4364, 1014, 1477, 3698, 11667, 31262, 16597, 13729, 8029, 825, 1007, 13729, 284, 338, 9285, 16597, 13729, 3418, 825, 1293, 284, 6352, 28956, 13729, 3418, 825, 1647, 284, 12248, 270, 273, 1477, 825, 1267, 284, 2908, 13729, 314, 332, 1497, 15947, 825, 2132, 1267, 5897, 258, 332, 1712, 1477, 3698, 7154, 31262, 16597, 13729, 8029, 825, 1592, 11749, 1132, 17342, 15947, 825, 1592, 15575, 338, 17342, 15947, 825, 585, 1297, 538, 10471, 6769, 1038, 952, 1297, 538, 1592, 11749, 1132, 6769, 2018, 524, 8161, 284, 4289, 11749, 1132, 267, 8161, 28840, 3418, 2018, 1592, 15575, 338, 314, 322, 8161, 24557, 4289, 15575, 338, 314, 322, 8161, 24557, 272, 1363, 1477, 1038, 3116, 6769, 2018, 1592, 11749, 1132, 6910, 28840, 3418, 2018, 1592, 15575, 6910, 263, 272, 3418, 825, 3193, 1998, 284, 10946, 10818, 17338, 15575, 338, 3418, 825, 3193, 8161, 284, 4289, 15575, 338, 28827, 32384, 1998, 3418, 825, 1267, 284, 4289, 11749, 1132, 32384, 8161, 3418, 825, 2132, 1267, 5897, 258, 16059, 1477, 3698, 3977, 31262, 28399, 825, 1820, 10471, 1477, 825, 1820, 834, 14737, 2433, 4939, 274, 269, 273, 325, 257, 260, 2381, 1998, 1477, 825, 1820, 834, 16655, 2433, 4939, 274, 269, 273, 325, 257, 260, 10946, 1998, 1477, 24541, 258, 25275, 13117, 284, 1477, 6358, 1998, 284, 6358, 31262, 14052, 2745, 3403, 1998, 5897, 2381, 1998, 284, 2381, 31262, 14052, 2745, 1295, 1998, 5897, 10946, 1998, 284, 10946, 31262, 14052, 2745, 3193, 1998, 1477, 0, 5035, 8605, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 23748, 267, 14403, 12173, 267, 7076, 267, 25912, 2187, 1038, 1582, 269, 23748, 815, 3902, 454, 1038, 1582, 269, 14403, 12173, 815, 6221, 12173, 454, 1038, 1582, 269, 7076, 815, 2597, 454, 1038, 1582, 269, 25912, 815, 6216, 454, 1038, 1582, 14714, 9850, 815, 834, 1721, 9042, 5016, 825, 1219, 590, 749, 4311, 2187, 1038, 1582, 14714, 9850, 815, 834, 338, 1245, 4840, 1038, 1582, 6185, 529, 2452, 318, 14813, 334, 4590, 1038, 2132, 1582, 22562, 825, 1219, 5410, 4671, 1314, 4311, 25722, 1314, 2187, 1038, 1582, 269, 23748, 815, 1582, 269, 23748, 1341, 630, 1345, 269, 23748, 2608, 3454, 994, 1038, 2132, 1582, 692, 825, 1219, 17776, 4311, 267, 516, 1783, 2187, 1038, 952, 2601, 2652, 834, 3698, 624, 633, 13426, 2018, 1582, 14714, 9850, 815, 834, 3698, 624, 633, 4840, 2018, 1582, 269, 23748, 815, 476, 271, 454, 1038, 8640, 2601, 2652, 834, 743, 2216, 4216, 13426, 2018, 1582, 14714, 9850, 815, 834, 1721, 9042, 4840, 1038, 8640, 2601, 2652, 834, 641, 2989, 4216, 13426, 2018, 1582, 14714, 9850, 815, 834, 4310, 4840, 2018, 1582, 269, 23748, 815, 1582, 269, 23748, 910, 630, 1345, 269, 23748, 2608, 476, 271, 269, 273, 994, 1038, 1582, 6185, 529, 2452, 318, 14813, 334, 4590, 1038, 2132, 1582, 692, 825, 1219, 18224, 318, 14813, 334, 4311, 2187, 1038, 1820, 834, 25820, 24333, 1345, 269, 23748, 2437, 347, 30014, 2012, 24333, 1345, 269, 14403, 12173, 2437, 347, 13379, 24333, 1345, 269, 7076, 2437, 347, 15952, 24333, 1345, 269, 25912, 2437, 347, 21073, 2580, 1345, 14714, 9850, 454, 1038, 2132, 1582, 692, 5035, 15188, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 331, 6327, 267, 26782, 2187, 1038, 1582, 4877, 20094, 815, 11713, 1038, 1582, 7456, 6327, 815, 4087, 454, 1038, 1582, 269, 26782, 12173, 815, 8227, 692, 825, 1219, 1039, 29410, 4311, 267, 28237, 2187, 1038, 1582, 4877, 20094, 6910, 9638, 6055, 994, 1038, 2132, 1582, 22562, 825, 1219, 11166, 28237, 4311, 267, 28237, 2187, 1038, 585, 7329, 343, 538, 2039, 263, 271, 267, 1345, 4877, 20094, 2187, 2018, 952, 1582, 4877, 20094, 314, 30915, 4940, 4067, 2652, 1587, 20508, 912, 3546, 1582, 4877, 20094, 21014, 263, 30915, 994, 1038, 2132, 1582, 672, 692, 825, 1219, 11891, 4311, 2187, 1038, 585, 7329, 343, 538, 2039, 263, 271, 267, 6352, 4311, 4877, 20094, 15892, 2018, 1820, 1582, 4877, 20094, 314, 30915, 4940, 11514, 2452, 318, 14813, 334, 4590, 1038, 2132, 1582, 692, 28237, 272, 267, 28237, 273, 815, 8605, 263, 1839, 269, 876, 10086, 12850, 12887, 272, 7273, 12887, 293, 25702, 30670, 29410, 263, 2918, 269, 876, 10086, 290, 4752, 2465, 12887, 276, 7273, 12887, 289, 611, 17210, 258, 1587, 272, 269, 11754, 4671, 1314, 263, 271, 269, 5400, 1040, 306, 749, 14061, 27987, 2891, 3698, 624, 633, 15419, 1805, 648, 3488, 2897, 12887, 321, 984, 262, 1040, 5417 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 1607, 5399, 28352, 513, 8849, 3060, 6189, 1210, 11885, 563, 763, 6189, 568, 2966, 865, 602, 11852, 3252, 267, 1942, 3252, 267, 543, 3355, 1436, 2409, 666, 581, 3362, 16419, 454, 763, 960, 4867, 7028, 3049, 4464, 4628, 4448, 3060, 1152, 267, 2104, 3853, 1331, 7598, 28708, 531, 6106, 543, 20443, 3252, 563, 12041, 281, 1488, 9109, 6931, 454, 12163, 5814, 11885, 607, 5286, 692, 12163, 31711, 2920, 10474, 12793, 454, 20578, 1242, 2920, 10474, 9577, 1223, 581, 3989, 609, 519, 1739, 2497, 912, 5035, 16419, 318, 716, 10474, 10031, 22592, 6449, 8181, 9191, 1345, 267, 3267, 2187, 453, 453, 258, 2332, 454, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 453, 258, 519, 1599, 547, 6218, 519, 11852, 454, 22592, 5552, 4311, 267, 1990, 2187, 453, 453, 258, 519, 13506, 540, 519, 11852, 454, 763, 2203, 786, 1289, 1547, 24834, 3890, 950, 7900, 4464, 18640, 543, 1289, 1547, 326, 2784, 3890, 950, 7900, 18807, 18640, 454, 12163, 5035, 9352, 14067, 788, 10031, 453, 12163, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 9352, 14067, 788, 263, 21163, 815, 476, 272, 1070, 476, 736, 994, 453, 12163, 22592, 6449, 8181, 9191, 1345, 267, 1900, 815, 476, 272, 2187, 453, 19677, 14714, 788, 815, 1900, 454, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 16596, 1582, 14714, 788, 265, 12639, 3052, 805, 518, 318, 16029, 18750, 267, 476, 271, 994, 22592, 5552, 4311, 267, 1990, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 18828, 25910, 18750, 17482, 264, 9239, 5035, 5276, 10031, 453, 12163, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 5276, 5416, 815, 476, 272, 1070, 476, 736, 994, 453, 12163, 22592, 6449, 8181, 9191, 1345, 267, 513, 815, 476, 272, 2187, 453, 19677, 18502, 815, 513, 454, 22592, 859, 531, 4311, 267, 1990, 2567, 28768, 453, 16596, 1582, 18502, 265, 345, 454, 22592, 5552, 4311, 267, 1990, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 4311, 18502, 265, 12639, 269, 2158, 18750, 17482, 11723, 5035, 521, 31451, 10031, 453, 12163, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 521, 31451, 19572, 476, 736, 994, 453, 18851, 28768, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 16596, 476, 272, 14370, 272, 266, 12639, 269, 10339, 8987, 345, 4917, 22592, 5552, 4311, 267, 1990, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 18828, 269, 10339, 8987, 345, 8358, 12639, 4732, 13645, 263, 272, 266, 12639, 269, 10339, 8987, 345, 4297, 2020, 5035, 16009, 327, 10031, 453, 12163, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 16009, 327, 19572, 476, 736, 994, 453, 18851, 28768, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 16596, 476, 273, 14370, 272, 266, 12639, 269, 10339, 8987, 273, 265, 345, 4297, 910, 476, 272, 454, 22592, 5552, 4311, 267, 1990, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 263, 275, 265, 12639, 269, 10339, 8987, 273, 265, 345, 8358, 12639, 4732, 13645, 263, 272, 266, 12639, 269, 10339, 8987, 273, 265, 345, 4297, 2020, 5035, 882, 340, 10031, 453, 12163, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 882, 340, 19572, 476, 736, 994, 453, 18851, 28768, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 16596, 5286, 27982, 3065, 18750, 267, 476, 271, 994, 22592, 5552, 4311, 267, 1990, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 18828, 3052, 805, 518, 318, 16029, 18750, 267, 476, 271, 11723, 5035, 13451, 344, 23631, 1663, 10031, 453, 12163, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 13451, 344, 23631, 1663, 5416, 815, 476, 271, 269, 9826, 1070, 476, 736, 994, 453, 18851, 28768, 22592, 6449, 8181, 9191, 1345, 267, 513, 815, 476, 271, 269, 9826, 2187, 453, 453, 258, 513, 568, 4397, 547, 581, 513, 2318, 1297, 1447, 982, 476, 272, 454, 453, 19677, 18502, 815, 513, 454, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 16596, 5286, 27982, 3065, 18750, 267, 1582, 18502, 265, 345, 994, 22592, 5552, 4311, 267, 1990, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 18828, 3052, 805, 518, 318, 16029, 18750, 267, 476, 271, 264, 1341, 1582, 18502, 265, 12639, 269, 1652, 18750, 267, 476, 271, 11723, 5035, 2571, 10946, 10031, 453, 12163, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 2571, 10946, 263, 560, 762, 815, 6936, 1070, 476, 736, 994, 453, 18851, 4848, 454, 22592, 6449, 8181, 9191, 1345, 267, 7123, 815, 6936, 2187, 453, 19677, 14714, 762, 815, 7123, 454, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 14851, 1582, 14714, 762, 2652, 6936, 912, 4848, 453, 345, 815, 1990, 910, 5286, 27982, 18750, 994, 4848, 16596, 5286, 269, 10339, 18750, 8358, 8999, 18828, 269, 10339, 18750, 4917, 22592, 5552, 4311, 267, 1990, 2187, 453, 453, 338, 815, 1582, 4318, 1998, 18750, 1040, 31412, 8987, 272, 267, 476, 272, 994, 453, 16596, 5286, 6155, 328, 698, 29788, 4433, 264, 910, 5286, 31715, 4433, 267, 521, 11053, 2020, 258, 634, 1739, 616, 930, 3732, 16419, 11852, 1599, 602, 616, 9003, 585, 17431, 5301, 563, 258, 1452, 11852, 3252, 262, 2773, 616, 711, 2556, 6916, 4192, 454, 5035, 759, 340, 10031, 453, 12163, 453, 258, 25351, 1881, 12384, 5149, 454, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 759, 340, 19572, 476, 736, 994, 453, 18851, 28768, 453, 287, 18878, 24709, 454, 22592, 859, 531, 18750, 2187, 453, 16596, 5286, 4732, 13645, 18828, 27982, 3065, 18750, 267, 271, 4917, 453, 287, 18878, 24709, 454, 22592, 5552, 18750, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 263, 273, 265, 12639, 27982, 3065, 18750, 267, 271, 11723, 5035, 1065, 340, 10031, 453, 12163, 453, 258, 25351, 1881, 27155, 5149, 454, 453, 5825, 720, 281, 544, 14491, 3488, 2685, 318, 8588, 3299, 1065, 340, 5416, 815, 476, 273, 1070, 476, 736, 994, 453, 18851, 4848, 454, 22592, 6449, 8181, 9191, 1345, 267, 513, 815, 476, 273, 2187, 453, 19677, 18502, 815, 513, 28768, 22592, 859, 531, 4311, 267, 1990, 2187, 453, 16596, 5286, 4877, 1077, 18828, 27982, 3065, 18750, 267, 271, 1070, 1582, 18502, 994, 22592, 5552, 4311, 267, 1990, 2187, 453, 16596, 5286, 6155, 328, 698, 29788, 4311, 18502, 265, 12639, 4877, 1077, 18828, 27982, 3065, 18750, 267, 271, 1070, 1582, 18502, 268, 272, 4917, 12163, 31711, 8779, 12793, 454, 20578, 1242, 8779, 9577, 1058, 723, 519, 1739, 2497, 454, 5035, 1942, 6958, 15635, 10031, 22592, 859, 531, 4311, 267, 513, 267, 552, 2187, 453, 453, 258, 24834, 10663, 519, 1942, 454, 22592, 5552, 4311, 267, 513, 267, 552, 2187, 453, 453, 258, 24834, 10663, 519, 13506, 540, 519, 1942, 1599, 454, 12163, 5035, 13392, 6831, 739, 10031, 453, 12163, 453, 5825, 720, 281, 544, 269, 30976, 1125, 6831, 739, 6262, 739, 6958, 4233, 815, 13392, 6831, 739, 15405, 453, 12163, 22592, 859, 531, 4311, 267, 513, 267, 552, 2187, 453, 16596, 476, 271, 269, 276, 265, 12639, 27904, 18828, 4732, 13645, 5416, 3887, 4917, 22592, 5552, 4311, 267, 513, 267, 552, 2187, 453, 16596, 513, 910, 552, 454, 5035, 3444, 318, 550, 16552, 6831, 739, 10031, 453, 12163, 453, 5825, 720, 281, 544, 269, 30976, 1125, 6831, 739, 6262, 739, 6958, 4233, 815, 3444, 318, 550, 16552, 6831, 739, 15405, 453, 12163, 22592, 859, 531, 4311, 267, 513, 267, 552, 2187, 453, 453, 320, 815, 5286, 17085, 760, 5416, 267, 476, 272, 324, 268, 1428, 267, 476, 272, 268, 272, 324, 268, 1428, 994, 453, 16596, 910, 12639, 27904, 18828, 28802, 5416, 12684, 324, 1341, 630, 272, 3887, 12684, 12639, 28802, 263, 272, 8584, 4917, 22592, 5552, 4311, 267, 513, 267, 552, 2187, 453, 453, 5976, 5286, 269, 20482, 8063, 5560, 643, 728, 8782, 793, 648, 3299, 23380, 815, 1412, 793, 648, 262, 2187, 4848, 453, 322, 815, 5286, 6745, 4902, 5091, 643, 728, 5416, 3887, 267, 630, 272, 8584, 12684, 320, 994, 4848, 453, 322, 815, 5286, 8542, 534, 15461, 19571, 6262, 994, 4848, 16596, 524, 454, 12163, 22873, 658, 1436, 10613, 454, 12163, 3698, 1261, 318, 30976, 1436, 5560, 574, 2187, 453, 12163, 453, 5825, 720, 281, 544, 269, 30976, 1125, 318, 30135, 263, 3891, 318, 30976, 1436, 994, 453, 12163, 453, 2181, 341, 5091, 574, 815, 3897, 15631, 272, 2639, 453, 323, 574, 815, 5286, 269, 2889, 323, 5560, 574, 994, 16596, 5286, 20179, 20120, 333, 5560, 574, 12684, 12639, 28460, 263, 273, 270, 2181, 341, 5091, 574, 994, 3698, 4351, 318, 30976, 1436, 5560, 574, 2187, 453, 12163, 453, 5825, 720, 281, 544, 269, 30976, 1125, 318, 30135, 263, 12690, 318, 30976, 1436, 994, 453, 12163, 453, 323, 574, 815, 5286, 269, 2889, 323, 5560, 574, 994, 16596, 5286, 20179, 20120, 333, 5560, 574, 2020, 12163, 31711, 7844, 454, 12163, 5035, 2203, 10031, 453, 12163, 453, 25456, 26402, 912, 453, 332, 815, 2203, 4590, 453, 332, 14491, 3488, 6358, 3299, 6843, 20311, 815, 1535, 15481, 994, 453, 332, 14491, 3488, 2685, 318, 8588, 3299, 882, 340, 19572, 476, 736, 994, 453, 332, 14491, 3488, 2685, 318, 8588, 3299, 882, 340, 19572, 476, 736, 994, 453, 332, 14491, 3488, 2685, 318, 8588, 3299, 2571, 10946, 19572, 962, 17482, 314, 272, 7481, 453, 332, 269, 30976, 1125, 318, 30135, 263, 3891, 318, 30976, 1436, 994, 28768, 453, 332, 269, 30976, 1125, 6831, 739, 6262, 739, 6958, 4233, 815, 3444, 318, 550, 16552, 6831, 739, 15405, 453, 332, 3052, 2784, 1304, 318, 13765, 11583, 314, 271, 3910, 962, 314, 271, 20285, 453, 332, 11053, 1778, 11583, 267, 962, 267, 561, 337, 815, 476, 271, 269, 4905, 267, 22184, 815, 476, 2004, 994, 453, 332, 4318, 1998, 10663, 11583, 339, 267, 962, 339, 264, 3097, 453, 12163, 22592, 6449, 8181, 9191, 1345, 2187, 453, 19677, 7456, 9707, 18045, 815, 476, 271, 454, 453, 19677, 7456, 16558, 5334, 29347, 815, 11713, 453, 19677, 7456, 16558, 815, 11713, 453, 19677, 269, 30135, 815, 5286, 15126, 8443, 7481, 453, 19677, 6983, 739, 6958, 4233, 815, 7183, 454, 22592, 1039, 4311, 267, 4494, 25292, 815, 1412, 2685, 318, 8588, 3299, 11852, 815, 882, 340, 267, 6843, 20311, 815, 476, 1015, 2187, 453, 14851, 4494, 25292, 2652, 1412, 6358, 12466, 4848, 453, 331, 9707, 5334, 29347, 815, 27835, 6943, 9166, 262, 6358, 3299, 1412, 4067, 9166, 262, 6358, 318, 262, 266, 1598, 4311, 7456, 9707, 18045, 1070, 1412, 27161, 20311, 9166, 6843, 20311, 8679, 4848, 19677, 7456, 16558, 5334, 29347, 6910, 10857, 9707, 5334, 29347, 994, 453, 453, 19197, 4494, 25292, 2652, 1412, 2685, 318, 8588, 12466, 4848, 453, 331, 9707, 5334, 29347, 815, 27835, 6943, 9166, 262, 2685, 318, 8588, 12887, 4067, 9166, 262, 2685, 318, 8588, 318, 262, 266, 1598, 4311, 7456, 9707, 18045, 1070, 1412, 716, 10474, 9166, 476, 20930, 4848, 15235, 453, 716, 10474, 267, 1412, 27161, 20311, 9166, 27161, 20311, 8679, 4848, 19677, 7456, 16558, 5334, 29347, 6910, 10857, 9707, 5334, 29347, 994, 453, 28432, 912, 4848, 13537, 3488, 299, 9707, 7392, 281, 1412, 266, 1598, 10857, 9707, 25292, 11924, 262, 1281, 711, 2291, 5073, 453, 19677, 7456, 9707, 18045, 6834, 476, 272, 454, 22592, 3355, 1125, 318, 30135, 4311, 267, 1505, 815, 4351, 318, 30976, 1436, 2187, 453, 19677, 7456, 16558, 815, 11713, 453, 19677, 269, 30135, 815, 5286, 15126, 8443, 7481, 453, 453, 339, 787, 912, 4848, 453, 10090, 1807, 815, 1505, 692, 453, 453, 21955, 912, 4848, 453, 10090, 1807, 815, 4351, 318, 30976, 1436, 454, 4848, 13537, 3488, 22873, 658, 1436, 1505, 7164, 267, 4635, 4351, 318, 30976, 1436, 3079, 256, 10807, 28768, 453, 453, 2181, 2365, 17045, 19571, 815, 7183, 4848, 454, 453, 22610, 4494, 5334, 29347, 538, 1582, 7456, 16558, 5334, 29347, 912, 4848, 14851, 3105, 17045, 19571, 2652, 7183, 912, 15235, 453, 2181, 2365, 17045, 19571, 815, 4494, 5334, 29347, 9131, 27161, 20311, 23300, 4848, 28432, 912, 15235, 14851, 4494, 5334, 29347, 9131, 6943, 11172, 2652, 262, 2685, 318, 8588, 12466, 20930, 453, 331, 9707, 815, 27835, 7076, 15481, 9166, 314, 331, 9707, 5334, 29347, 9131, 27161, 20311, 28710, 2181, 2365, 17045, 19571, 16689, 4848, 15235, 453, 262, 321, 5362, 15481, 9166, 331, 9707, 5334, 29347, 9131, 27161, 20311, 11172, 2676, 4848, 15235, 453, 262, 716, 10474, 9166, 331, 9707, 5334, 29347, 9131, 716, 10474, 11172, 8679, 20930, 453, 7076, 815, 11718, 9230, 331, 9707, 5334, 29347, 9131, 27161, 20311, 28710, 2181, 2365, 17045, 19571, 4917, 20930, 453, 321, 5362, 815, 5286, 25910, 10857, 9707, 5334, 29347, 9131, 27161, 20311, 262, 7481, 20930, 19677, 7456, 16558 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 263, 10472, 4289, 11468, 275, 20285, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 2580, 834, 528, 1052, 2580, 834, 7288, 342, 328, 2580, 834, 28447, 2580, 834, 332, 24546, 31116, 2745, 263, 10472, 4289, 314, 273, 281, 20285, 258, 16186, 540, 20134, 12039, 525, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 2580, 834, 528, 1052, 2580, 834, 7288, 342, 328, 2580, 834, 28447, 2580, 834, 332, 24546, 31116, 2745, 263, 10472, 4289, 15631, 275, 18737, 272, 20285, 258, 6744, 952, 30014, 1401, 1235, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 604, 834, 20625, 257, 538, 713, 4289, 912, 476, 1820, 2891, 8133, 267, 1412, 20625, 262, 568, 538, 519, 5613, 1592, 15419, 258, 7827, 30014, 10025, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 314, 272, 316, 815, 834, 18872, 2017, 7949, 4840, 2745, 263, 10472, 4289, 2020, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 314, 272, 316, 815, 22373, 18872, 2017, 7949, 2580, 834, 4248, 28447, 31116, 2745, 263, 10472, 4289, 2020, 258, 7827, 513, 16186, 540, 30014, 18880, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 2580, 834, 528, 1052, 2580, 834, 7288, 342, 328, 2580, 834, 332, 24546, 31116, 10472, 4289, 314, 272, 281, 274, 316, 815, 22373, 18872, 2017, 7949, 2580, 834, 4248, 28447, 31116, 2745, 263, 10472, 4289, 2020, 258, 23453, 27294, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 27044, 263, 273, 267, 834, 4248, 28447, 5602, 2745, 263, 10472, 4289, 2020, 258, 5410, 5903, 27294, 454, 258, 16289, 1039, 538, 519, 1439, 540, 519, 1592, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 6910, 2891, 528, 1052, 5602, 2745, 263, 10472, 4289, 2020, 258, 4994, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 27044, 263, 272, 267, 834, 528, 1052, 5602, 2745, 263, 10472, 4289, 2020, 258, 6987, 754, 5903, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 339, 7211, 815, 22373, 332, 24546, 2580, 834, 18090, 20625, 2580, 834, 335, 777, 11535, 31116, 10472, 4289, 269, 2169, 754, 6025, 7211, 994, 2745, 263, 10472, 4289, 2020, 258, 5410, 7102, 594, 614, 762, 454, 258, 533, 1712, 1583, 12055, 762, 1843, 630, 14654, 1255, 267, 5036, 267, 21594, 3092, 28593, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 628, 626, 340, 921, 815, 9497, 7288, 342, 328, 2580, 834, 528, 1052, 5602, 10472, 4289, 269, 2169, 754, 263, 628, 626, 340, 921, 994, 2745, 263, 10472, 4289, 2020, 258, 17179, 10410, 1881, 30014, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 31927, 2891, 3316, 3570, 5602, 2745, 263, 10472, 4289, 2020, 258, 10426, 18372, 4994, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 21014, 263, 272, 994, 2745, 263, 10472, 4289, 2020, 258, 12054, 1780, 541, 4994, 1605, 4894, 522, 3331, 374, 2741, 24982, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 21014, 4590, 2745, 263, 10472, 4289, 2020, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 23437, 713, 4289, 314, 271, 2639, 2745, 263, 10472, 4289, 2020, 258, 4107, 32057, 522, 2144, 549, 6446, 546, 5451, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 23437, 713, 4289, 454, 28744, 263, 10472, 4289, 2020, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 10472, 4289, 269, 27234, 4590, 2745, 263, 10472, 4289, 2020, 258, 31230, 700, 1235, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 1721, 1535, 538, 713, 4289, 912, 476, 1820, 3287, 2020, 258, 31230, 3414, 519, 12039, 10606, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 1721, 1775, 538, 2039, 12759, 263, 10472, 4289, 15892, 476, 1820, 263, 10472, 4289, 5157, 20285, 258, 5903, 24366, 454, 258, 521, 842, 1314, 324, 2367, 528, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 314, 2745, 3287, 264, 585, 1535, 538, 713, 4289, 6540, 325, 21209, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 2580, 834, 7288, 342, 328, 2580, 834, 332, 24546, 31116, 2908, 4289, 815, 29129, 1721, 1535, 538, 5613, 912, 476, 952, 834, 320, 257, 538, 1535, 912, 825, 1007, 4289, 6910, 3287, 2020, 2745, 28956, 4289, 2020, 325, 21209, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 2580, 834, 7288, 342, 328, 2580, 834, 332, 24546, 257, 6540, 2908, 4289, 815, 1496, 343, 585, 1535, 538, 5613, 952, 834, 320, 257, 538, 1535, 6540, 2745, 28956, 4289, 2020, 258, 1007, 4289, 815, 1496, 10339, 1833, 585, 6221, 538, 12055, 762, 952, 2783, 2652, 6936, 6540, 2908, 4289, 815, 1496, 343, 585, 1535, 538, 2039, 263, 1015, 264, 952, 1535, 2999, 476, 276, 2639, 2745, 28956, 4289, 2020, 258, 23037, 454, 10472, 4289, 815, 22373, 528, 1052, 2580, 834, 332, 24546, 2580, 834, 7288, 342, 328, 2580, 834, 18090, 20625, 2580, 834, 3316, 3570, 31116, 10472, 4289, 31699, 4590, 2745, 263, 10472, 4289, 2020, 10472, 4289, 815, 1496, 1911, 267, 476, 2004, 267, 476, 4792, 267, 476, 11025, 267, 476, 2537, 2639, 10472, 4289, 31699, 4590, 2745, 263, 10472, 4289, 2020, 258, 23037, 29439, 2056, 454, 10472, 4289, 815, 22373, 528, 1052, 2580, 834, 332, 24546, 2580, 834, 7288, 342, 328, 2580, 834, 18090, 20625, 2580, 834, 3316, 3570, 31116, 10472, 4289, 31699, 263, 516, 2091, 815, 6936, 994, 2745, 263, 10472, 4289, 2020, 10472, 4289, 815, 1496, 1911, 267, 476, 2004, 267, 476, 4792, 267, 476, 11025, 267, 476, 2537, 2639, 10472, 4289, 31699, 263, 516, 2091, 815, 6936, 994, 2745, 263, 10472, 4289, 2020, 10472, 4289, 815, 22373, 3316, 3570, 2580, 834, 7775, 1052, 2580, 834, 298, 12685, 328, 2580, 834, 7815, 787, 31116, 10472, 4289, 18622, 2091, 4590, 2745, 263, 10472, 4289, 2020, 258, 25767, 700, 1235, 454, 10472, 4289, 815, 22373, 20625, 2580, 834, 3316, 3570, 2580, 834, 7815, 787, 31116, 332, 2643, 626, 815, 713, 4289, 6983, 4878, 4590, 2745, 9852, 2643, 626, 2020, 10472, 4289, 6910, 2891, 1278, 293, 8816, 5602, 2745, 9852, 2643, 626, 2020, 332, 2643, 626, 815, 713, 4289, 6983, 4878, 4590, 2745, 9852, 2643, 626, 2020, 258, 4179, 2517, 25269, 338, 4877, 3155, 3820, 270, 274, 14121, 583, 3645, 7933, 520, 770, 23461, 11258, 0, 258, 4982, 1023, 281, 513, 2652, 536, 454, 258, 3502, 4982, 1023, 281, 513, 11203, 536, 454, 258, 10815, 982, 281, 513, 2999, 536, 454, 258, 10815, 982, 610, 3160, 547, 281, 513, 10922, 536, 454, 258, 20523, 982, 281, 513, 3436, 536, 454, 258, 20523, 982, 610, 3160, 547, 281, 513, 13843, 536, 692, 320, 815, 476, 3451, 454, 321, 815, 476, 1220, 454, 604, 536, 3436, 513, 912, 476, 1820, 2891, 321, 568, 3152, 982, 513, 15419, 258, 5772, 566, 454, 258, 513, 815, 476, 3451, 454, 258, 536, 815, 476, 1220, 454, 258, 952, 536, 3436, 513, 912, 258, 1820, 2891, 321, 568, 3152, 982, 513, 8442, 1948, 596, 786, 1205, 606, 5470, 454, 0, 26611, 23591, 24800, 270, 7090, 454, 16482, 258, 825, 23684, 16096, 992, 573, 7024, 519, 2063, 17332, 4737, 573, 454, 16482, 5814, 15259, 454, 5814, 19523, 454, 5814, 13483, 29411, 274, 692, 27219, 6958, 32327, 815, 1412, 19387, 9078, 770, 992, 573, 6155, 321, 7055, 604, 15259, 29624, 18994, 12803, 5560, 321, 6958, 32327, 2187, 567, 15259, 31927, 5560, 321, 6958, 32327, 2020, 3698, 1202, 5416, 2187, 825, 1225, 20216, 31146, 3488, 12133, 883, 512, 5416, 264, 2418, 630, 24047, 3299, 630, 320, 267, 3738, 994, 825, 1820, 3488, 11900, 1068, 539, 513, 2594, 267, 2063, 992, 573, 568, 1412, 1341, 1193, 263, 2017, 16096, 992, 573, 11723, 27219, 815, 13483, 29411, 274, 269, 6618, 5560, 321, 6958, 32327, 994, 2017, 815, 24563, 269, 19387, 10797, 2017, 20216, 31146, 3488, 22056, 3349, 512, 630, 573, 8870, 3119, 1883, 267, 513, 264, 17210, 1231, 263, 5655, 994, 1231, 263, 4200, 994, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 867, 318, 815, 3921, 26086, 262, 402, 378, 5073, 28411, 318, 815, 3898, 263, 867, 318, 267, 1412, 6860, 343, 17210, 2745, 1193, 263, 867, 318, 264, 1341, 1412, 1412, 1341, 1193, 263, 28411, 318, 994, 0, 323, 815, 2715, 1412, 11133, 9166, 476, 5655, 267, 1412, 339, 868, 9166, 1412, 15916, 1158, 262, 7684, 692, 3698, 1820, 11749, 8170, 7659, 17347, 2187, 825, 1820, 6600, 257, 7407, 585, 2715, 330, 348, 568, 281, 2715, 323, 10947, 17347, 267, 1412, 286, 10807, 348, 15419, 2745, 11749, 8170, 7659, 3488, 11133, 262, 11434, 12467, 2745, 11749, 8170, 7659, 3488, 710, 343, 11962, 5073, 2745, 11749, 8170, 7659, 3488, 339, 868, 262, 11434, 12467, 0, 16482, 258, 567, 5291, 2517, 23637, 1478, 6503, 2593, 21669, 270, 276, 4029, 4391, 277, 270, 5197, 22550, 454, 16482, 325, 684, 14369, 815, 29129, 1721, 1535, 538, 2039, 263, 276, 2187, 825, 1187, 14369, 6910, 10857, 10033, 281, 1535, 2020, 2745, 1496, 325, 3890, 585, 535, 538, 1187, 14369, 316, 672, 1948, 476, 1496, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 267, 476, 275, 6540, 258, 4534, 7042, 325, 684, 14369, 815, 11713, 1721, 1535, 538, 2039, 263, 276, 2187, 476, 1187, 14369, 6910, 10857, 10033, 1535, 24210, 281, 1535, 994, 22322, 2745, 1496, 325, 3890, 585, 535, 538, 1187, 14369, 316, 825, 1948, 476, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 2639 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11945, 543, 835, 1434, 11945, 563, 2710, 713, 538, 1079, 3268, 269, 3689, 4584, 513, 24401, 6150, 11945, 267, 543, 1287, 513, 1434, 835, 563, 2791, 666, 4584, 519, 24401, 6150, 11945, 538, 1152, 476, 272, 1259, 563, 13263, 1411, 666, 4584, 519, 1434, 11945, 538, 476, 275, 2081, 454, 13295, 972, 616, 476, 272, 265, 275, 815, 476, 275, 2081, 602, 835, 540, 519, 1079, 13603, 13212, 568, 24401, 6150, 780, 23536, 1464, 815, 3143, 269, 540, 674, 822, 24461, 4093, 1315, 11192, 1297, 540, 4093, 692, 284, 476, 275, 1315, 476, 1015, 692, 284, 476, 273, 1315, 476, 276, 692, 303, 1157, 595, 454, 12421, 454, 16274, 281, 476, 1789, 4119, 476, 1220, 280, 454, 15803, 281, 476, 275, 454, 3725, 281, 9046, 14572, 2433, 17438, 1109, 28784, 21529, 6540, 17004, 16193, 692, 1015, 7325, 476, 1001, 271, 267, 476, 1321, 281, 4391, 454, 6781, 327, 599, 303, 6652, 13860, 5206, 912, 272, 24401, 6150, 11945, 269, 476, 275, 1434, 13212, 269, 1548, 568, 519, 5506, 602, 950, 1079, 13212, 616, 13603, 267, 835, 568, 24401, 6150, 2496, 5591, 269, 540, 2081, 540, 16116, 476, 273, 3615, 689, 476, 276, 3615, 568, 476, 276, 290, 273, 815, 476, 1015, 692, 293, 822, 24461, 3510, 568, 835, 24401, 6150, 11945, 543, 835, 1434, 11945, 563, 2710, 713, 538, 1079, 3268, 269, 3689, 4584, 513, 24401, 6150, 11945, 267, 543, 1287, 513, 1434, 835, 563, 2791, 666, 4584, 519, 24401, 6150, 11945, 538, 1152, 476, 272, 1259, 563, 13263, 1411, 666, 4584, 519, 1434, 11945, 538, 476, 275, 2081, 454, 13295, 972, 616, 476, 272, 265, 275, 815, 476, 275, 2081, 602, 835, 540, 519, 1079, 13603, 13212, 568, 24401, 6150, 780, 23536, 1464, 815, 3143, 269, 540, 674, 822, 24461, 4093, 1315, 11192, 1297, 540, 4093, 692, 284, 476, 275, 1315, 476, 1015, 692, 284, 476, 273, 1315, 476, 276, 692, 303, 1157, 595, 692, 296, 6415, 513, 17918, 1007, 29560, 267, 543, 10010, 609, 1250, 4367, 883, 19280, 267, 10659, 267, 3092, 269, 16393, 596, 14969, 513, 3787, 593, 519, 7954, 1934, 286, 8729, 538, 4434, 563, 12421, 454, 16274, 281, 476, 6349, 4455, 476, 1001, 271, 454, 15803, 281, 476, 2412, 454, 3725, 281, 9046, 14572, 2433, 17438, 1109, 28784, 21529, 6540, 17004, 16193, 692, 1015, 7325, 476, 1001, 271, 267, 476, 1691, 281, 5400, 454, 11004, 666, 581, 1079, 2081, 538, 799, 835, 666, 2824, 513, 24401, 6150, 11945, 543, 513, 1434, 11945, 780, 272, 269, 596, 4584, 519, 24401, 6150, 835, 1101, 543, 519, 1434, 835, 2663, 269, 780, 23536, 540, 16116, 513, 1434, 835, 689, 519, 6967, 476, 275, 1434, 13212, 630, 275, 270, 275, 815, 272, 2020, 11004, 1150, 519, 2698, 2625, 585, 2013, 476, 272, 815, 1775, 270, 276, 2608, 476, 272, 815, 476, 272, 270, 276, 692, 273, 269, 623, 10107, 519, 1434, 835, 1101, 543, 24401, 6150, 835, 2663, 692, 23536, 540, 16116, 513, 1434, 835, 815, 476, 275, 270, 276, 454, 23536, 540, 16116, 3983, 835, 6535, 519, 6967, 476, 275, 13212, 815, 476, 272, 270, 275, 692, 13707, 2625, 815, 476, 275, 270, 276, 265, 272, 270, 275, 815, 476, 272, 270, 276, 692, 13707, 2625, 815, 11188, 321, 272, 1341, 2625, 273, 815, 476, 272, 270, 276, 266, 272, 270, 276, 815, 476, 273, 270, 276, 692, 327, 2100, 713, 2337, 454, 10048, 4526, 454, 16274, 281, 476, 6734, 9947, 476, 1001, 271, 454, 15803, 281, 476, 8687, 454, 19613, 281, 2136, 2276, 630, 11085, 994, 3519, 1417, 1674, 281, 16373, 267, 4937, 5004, 454, 3725, 281, 9046, 14572, 2433, 17438, 1109, 28784, 21529, 6540, 17004, 16193, 692, 1015, 7325, 476, 1001, 271, 267, 476, 2420, 281, 6349, 454, 273, 7399, 281, 24401, 6150, 267, 3339, 610, 454, 7538, 27253, 563, 8967, 334, 6150, 267, 3339, 815, 476, 272, 270, 276, 265, 275, 270, 275, 815, 476, 272, 270, 276, 454, 31863, 267, 24401, 6150, 815, 476, 275, 270, 275, 265, 272, 270, 276, 815, 476, 272, 270, 276, 454, 3719, 649, 1491, 476, 273, 13212, 693, 519, 1482, 942, 267, 865, 649, 9062, 519, 1267, 593, 476, 273, 815, 476, 272, 270, 276, 265, 273, 815, 476, 273, 270, 276, 630, 290, 994, 3725, 281, 9046, 14572, 2433, 17438, 5231, 1496, 258, 21529, 316, 476, 1015, 7325, 476, 1001, 271, 267, 476, 2420, 281, 6349, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 29171, 3234, 5364, 2079, 692, 8070, 593, 476, 6349, 11219, 534, 268, 1001, 277, 692, 11025, 5784, 692, 32051, 1384, 291, 665, 3701, 692, 21615, 539, 12025, 630, 29210, 2020, 291, 2464, 31304, 303, 3582, 692, 6637, 476, 1240, 269, 5494, 3234, 5364, 5811, 269, 12474, 269, 17384, 5806, 5364, 2079, 26228, 10171, 1505, 7345, 525, 4542, 5806, 5364, 2079, 7345, 525, 5806, 5364, 2079, 5153, 3772, 5806, 5364, 2079, 269, 910, 17948, 623, 8976, 19809, 692, 15045, 3198, 17092, 6020, 8976, 692, 1892, 5494, 3234, 5364, 5811, 6637, 476, 1240, 692, 1892, 12474, 293, 8718, 5806, 5364, 2079, 26228, 10171, 1505, 7345, 525, 4542, 5806, 5364, 2079, 7345, 525, 5806, 5364, 2079, 5153, 3772, 5806, 5364, 2079, 692, 1892, 20638, 1326, 5806, 3729, 1599, 610, 5506, 4542, 630, 6748, 1896, 10832, 547, 19665, 10001, 264, 10574, 4353, 338, 616, 9286, 883, 1079, 610, 811, 2516, 282, 5806, 3729, 10832, 616, 782, 10230, 4632, 610, 28547, 4632, 303, 17123, 5793, 13133, 1299, 3589, 15650, 17384, 5806, 5364, 2079, 1299, 7345, 525, 5806, 5364, 2079, 692, 1892, 1635, 1239, 476, 272, 269, 5811, 585, 10230, 4756, 1326, 5806, 3729, 1599, 1210, 10230, 10832, 15650, 476, 273, 269, 5811, 585, 28547, 4756, 2433, 1205, 5506, 4542, 1210, 28547, 10832, 692, 1892, 1635, 2012, 293, 8718, 5806, 5364, 2079, 26228, 10171, 1505, 7345, 525, 4542, 5806, 5364, 2079, 7345, 525, 5806, 5364, 2079, 5153, 3772, 5806, 5364, 2079, 692, 1892, 476, 272, 17384, 5494, 3234, 5364, 5811, 5715, 545, 1807, 281, 10230, 13525, 5494, 3234, 3990, 883, 281, 1079, 610, 811, 6688, 692, 1892, 594, 5806, 3729, 883, 1079, 6688, 692, 1892, 476, 272, 6240, 692, 2467, 616, 692, 10849, 5703, 4559, 689, 7121, 589, 663, 692, 10849, 5703, 4559, 689, 7121, 589, 10376, 835, 814, 10832, 1224, 692, 763, 2832, 540, 17384, 5806, 5364, 2079, 547, 1205, 513, 5276, 640, 4999, 607, 692, 318, 13040, 280, 4510, 277, 2918, 277, 26509, 4385, 692, 318, 8099, 6187, 280, 279, 4792, 279, 26509, 4385, 692, 318, 13040, 31982, 4366, 273, 277, 26509, 4385, 692, 1892, 17384, 4341, 1729, 3489, 513, 13754, 1944, 13525, 2098, 267, 540, 799, 267, 519, 3017, 1063, 519, 1797, 540, 7121, 589, 543, 7121, 645, 263, 692, 264, 568, 2693, 547, 581, 3193, 607, 1134, 607, 519, 8390, 263, 692, 264, 568, 2693, 547, 581, 10545, 267, 3976, 1118, 692, 10946, 780, 318, 8099, 5881, 277, 4510, 274, 277, 26509, 4385, 692, 318, 6344, 279, 6507, 28276, 280, 26509, 4385, 692, 318, 13040, 280, 4510, 277, 4391, 274, 26509, 4385, 692, 1892, 5494, 3234, 5364, 11664, 595, 4754, 1205, 689, 4834, 1310, 8174, 908, 692, 529, 6606, 519, 1611, 540, 519, 795, 628, 13525, 692, 1993, 7121, 589, 543, 7121, 645, 692, 529, 3693, 540, 519, 7623, 532, 14290, 540, 31809, 540, 692, 780, 529, 519, 4767, 1871, 540, 692, 514, 7121, 589, 543, 7121, 645, 780, 318, 13040, 280, 4510, 277, 3393, 275, 26509, 4385, 692, 318, 8099, 6187, 280, 28360, 280, 26509, 4385, 692, 318, 6344, 279, 6507, 18357, 277, 26509, 4385, 692, 318, 6344, 279, 6507, 25851, 280, 26509, 4385, 692, 318, 8099, 5881, 277, 5325, 278, 275, 26509, 4385, 692, 318, 8099, 6187, 280, 27886, 273, 26509, 4385, 692, 318, 11793, 280, 4366, 5952, 273, 273, 26509, 4385, 692, 318, 11793, 280, 5392, 24423, 279, 26509, 4385, 692, 318, 11793, 280, 4366, 279, 2412, 277, 26509, 4385, 692, 1892, 476, 273, 5494, 3234, 3729, 1505, 23241, 29171, 3234, 5364, 1599, 5173, 692, 821, 676, 835, 5173, 692, 10484, 10484, 20412, 622, 2565, 1871, 692, 1384, 318, 13040, 280, 4510, 277, 6507, 274, 26509, 4385, 692, 318, 6344, 279, 6507, 4391, 280, 279, 26509, 4385, 692, 318, 6344, 279, 6507, 275, 866, 271, 26509, 4385, 692, 318, 13040, 280, 4510, 277, 4281, 277, 26509, 4385, 692, 318, 13040, 26392, 14138, 276, 26509, 4385, 692, 22364, 692, 318, 6344, 279, 6507, 275, 1626, 277, 26509, 4385, 692, 318, 6344, 279, 6507, 6858, 277, 274, 26509, 4385, 692, 1892, 7151, 1240, 269, 272, 4578, 1519, 1614, 10832, 2473, 272, 311, 273, 311, 274, 1993, 476, 2420, 2550, 568, 10268, 538, 3349, 476, 1240, 268, 272, 269, 7324, 873, 267, 476, 1321, 2550, 616, 10294, 607, 2038, 3942, 540, 2068, 7121, 589, 267, 519, 824, 476, 1015, 616, 12363, 2550, 7121, 645, 269, 8347, 547, 798, 5806, 5364, 2079, 780, 1892, 7305, 476, 1240, 268, 272, 4767, 2418, 543, 5806, 5364, 2164, 540, 476, 2420, 2550, 313, 322, 15871, 271, 269, 15704, 692, 322, 14394, 692, 15893, 692, 10849, 5703, 1871, 692, 313, 692, 293, 8718, 692, 29171, 3234, 5364, 1267, 692, 311, 272, 692, 311, 273, 692, 311, 274, 692, 288, 692, 272, 692, 2537, 692, 279, 692, 271, 692, 271, 269, 866, 692, 288, 692, 288, 692, 273, 692, 268, 272, 692, 280, 692, 268, 273, 692, 273, 269, 10463, 692, 288, 692, 288, 692, 274, 692, 268, 1015, 692, 276, 692, 271, 692, 272, 269, 10695, 692, 288, 692, 288, 692, 275, 692, 268, 278, 692, 268, 273, 692, 272, 692, 268, 271, 269, 2764, 692, 289, 692, 288, 692, 276, 692, 268, 1556, 692, 274, 692, 268, 275, 692, 273, 269, 7761, 692, 288, 692, 288, 692, 277, 692, 268, 1015, 692, 274, 692, 268, 272, 692, 272, 269, 7597, 692, 288, 692, 288, 692, 278, 692, 1839, 692, 280, 692, 268, 273, 692, 271, 269, 11011, 692, 288, 692, 288, 692, 279, 692, 268, 866, 692, 1321, 692, 268, 274, 692, 275, 269, 7176, 692, 288, 692, 288, 692, 280, 692, 280, 692, 279, 692, 268, 273, 692, 272, 269, 10037, 692, 288, 692, 288, 692, 1015, 692, 268, 1839, 692, 268, 274, 692, 268, 272, 692, 272, 269, 4375, 692, 288, 692, 288, 692, 1556, 692, 271, 692, 268, 273, 692, 273, 692, 268, 272, 269, 6021, 692, 289, 692, 288, 692, 1321, 692, 268, 1015, 692, 268, 273, 692, 271, 692, 271, 269, 1839, 692, 288, 692, 289, 692, 1724, 692, 280, 692, 268, 276, 692, 272, 692, 268, 273, 269, 5881, 692, 289, 692, 289, 692, 1691, 692, 273, 692, 268, 272, 692, 268, 272, 692, 268, 271, 269, 4962, 692, 288, 692, 289, 692, 1428, 692, 1704, 692, 268, 277, 692, 268, 272, 692, 268, 273, 269, 2420, 692, 289, 692, 289, 692, 1626, 692, 279, 692, 268, 273, 692, 272, 692, 268, 272, 269, 3451, 692, 289, 692, 289, 692, 1704, 692, 1704, 692, 268, 280, 692, 272, 692, 268, 274, 269, 7871, 692, 289, 692, 289, 692, 1240, 692, 271, 692, 268, 1556, 692, 274, 692, 268, 274, 269, 6246, 692, 289, 692, 289, 692, 866, 692, 268, 280, 692, 268, 736, 692, 274, 692, 268, 275, 269, 11025, 692, 289, 692, 289, 692, 736, 692, 268, 278, 692, 268, 273, 692, 274, 692, 268, 271, 269, 11011, 692, 289, 692, 289, 692, 2641, 692, 268, 280, 692, 277, 692, 271, 692, 272, 269, 7176, 692, 288, 692, 289, 692, 2420, 692, 1321, 692, 271, 692, 271, 692, 268, 271, 269, 10019, 692, 289, 692, 1892, 570, 21764, 1240, 268, 273, 1797, 540, 1169, 7121, 543, 19114, 1063, 1797, 476, 272, 20412, 622, 1797, 540, 1169, 7121, 543, 19114, 1063, 1797, 30622, 269, 8058, 539, 607, 7305, 476, 1240, 268, 273, 780, 288, 692, 1321, 692, 274, 692, 275, 692, 272, 692, 289, 692, 1015, 692, 275, 692, 276, 692, 272, 692, 278, 692, 280, 692, 273, 692, 318, 8099, 271, 6078, 7176, 275, 278, 26509, 4385, 692, 318, 8099, 271, 6078, 7176, 275, 279, 26509, 4385, 692, 318, 6344, 279, 6507, 276, 6507, 275, 26509, 4385, 692, 318, 11793, 280, 5392, 280, 3393, 277, 26509, 4385, 692, 1892, 476, 273, 20412, 622, 519, 7623, 532, 14290, 540, 31809, 281, 585, 1383, 281, 13420, 725, 281, 763, 7623, 532, 14290, 540, 31809, 692, 4932, 289, 3633, 17817, 6185, 15551, 307, 275, 692, 318, 13040, 26392, 16328, 273, 26509, 4385, 692, 318, 8099, 6187, 280, 4375, 275, 280, 26509 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16838, 952, 519, 605, 591, 3081, 602, 519, 3948, 568, 3020, 585, 930, 1507, 5506, 1916, 1103, 1312, 2665, 267, 2357, 8595, 4465, 1406, 581, 2111, 547, 917, 1022, 1344, 3564, 602, 519, 3948, 568, 3020, 610, 7301, 563, 4407, 519, 3741, 540, 2098, 298, 303, 616, 4988, 267, 1577, 779, 2911, 827, 519, 1114, 2010, 540, 2098, 298, 11679, 513, 1870, 27423, 666, 1902, 538, 563, 1103, 606, 7317, 4642, 268, 32474, 6169, 267, 513, 605, 591, 15824, 513, 3126, 540, 3527, 896, 519, 7271, 540, 6310, 5506, 547, 18609, 519, 2357, 8595, 540, 513, 1880, 1249, 563, 2026, 13269, 689, 519, 2012, 267, 6348, 17942, 5562, 4642, 1702, 6169, 1281, 711, 2154, 606, 7317, 1184, 269, 12791, 267, 519, 605, 591, 666, 5352, 782, 519, 2591, 693, 2899, 543, 2357, 8595, 4433, 264, 666, 2663, 4431, 269, 901, 9673, 1206, 519, 7872, 540, 2458, 4288, 269, 1717, 267, 621, 3340, 3606, 6191, 543, 3301, 547, 1265, 856, 519, 5311, 540, 6901, 563, 9616, 281, 898, 568, 2009, 547, 1118, 513, 5912, 689, 1875, 268, 7317, 547, 7317, 2098, 298, 303, 563, 18719, 1324, 21041, 593, 513, 23204, 454, 1103, 20261, 267, 1439, 3562, 15134, 14238, 568, 16122, 865, 602, 1100, 835, 666, 1224, 707, 4357, 5048, 16310, 519, 835, 596, 616, 14379, 609, 269, 1677, 2327, 3354, 267, 20261, 5867, 2307, 3755, 547, 13182, 741, 3961, 547, 519, 7746, 543, 13030, 268, 951, 320, 563, 3719, 267, 609, 519, 4417, 540, 2098, 298, 303, 267, 789, 786, 581, 2111, 547, 1628, 606, 1439, 3562, 15134, 3972, 538, 519, 20261, 1158, 1510, 682, 1136, 1022, 3063, 1344, 269, 901, 568, 835, 540, 519, 6305, 3156, 540, 4642, 268, 32474, 6169, 538, 519, 9893, 1158, 563, 313, 3266, 268, 32474, 6169, 666, 849, 7520, 23142, 6213, 1344, 899, 17452, 1344, 609, 1732, 3354, 269, 898, 666, 1628, 513, 5150, 8756, 585, 519, 3755, 547, 2308, 741, 1344, 1510, 13031, 621, 269, 1656, 713, 1259, 267, 2057, 1239, 24694, 538, 519, 10782, 7653, 563, 5194, 2009, 946, 2013, 540, 4642, 268, 32474, 15997, 630, 313, 298, 11679, 264, 568, 538, 519, 2361, 540, 4859, 10626, 563, 313, 3266, 268, 32474, 6169, 2501, 609, 513, 7014, 602, 711, 1152, 28863, 519, 4859, 1770, 267, 855, 849, 519, 1344, 1369, 621, 269, 10261, 1652, 547, 2161, 267, 519, 1569, 9055, 616, 849, 6870, 547, 2285, 513, 15774, 543, 5150, 1995, 563, 2691, 6158, 827, 11488, 4357, 9893, 8852, 267, 621, 568, 19039, 569, 1271, 547, 1832, 621, 856, 540, 519, 3914, 540, 519, 3791, 6105, 269, 3767, 267, 1247, 519, 2757, 2409, 616, 10169, 8825, 267, 789, 723, 930, 3138, 2684, 3421, 563, 1607, 568, 2943, 1776, 1858, 1141, 2098, 298, 303, 2501, 883, 1404, 269, 634, 1523, 267, 950, 7471, 20617, 267, 2337, 538, 1818, 621, 5176, 7543, 547, 11360, 610, 18448, 519, 4357, 9893, 8852, 563, 7712, 4642, 268, 32474, 6169, 814, 519, 1761, 547, 17278, 1239, 538, 25098, 267, 621, 6087, 835, 547, 1852, 1978, 7161, 547, 1683, 1569, 547, 513, 1880, 3593, 267, 1247, 28142, 1569, 585, 1866, 269, 901, 1259, 267, 519, 1523, 14014, 519, 1950, 12319, 689, 1346, 711, 17101, 547, 1294, 873, 563, 5194, 1747, 1141, 596, 666, 1294, 606, 2500, 4642, 268, 32474, 6169, 6388, 568, 519, 3758, 1062, 563, 763, 1523, 8591, 1114, 6106, 540, 3354, 547, 519, 6119, 267, 3755, 267, 543, 1256, 2845, 1231, 602, 2306, 621, 3833, 2352, 585, 835, 547, 11360, 610, 13861, 519, 6740, 1239, 563, 9558, 3939, 540, 4357, 9893, 15377, 568, 835, 540, 519, 17736, 545, 6681, 711, 1182, 1851, 1585, 900, 5799, 4291, 1903, 540, 2098, 298, 303, 538, 9893, 269, 17721, 23204, 8852, 1058, 581, 6870, 689, 1022, 3791, 5428, 1247, 11488, 873, 563, 763, 1292, 5855, 538, 11488, 4357, 9893, 8852, 782, 26360, 547, 519, 1114, 3138, 2684, 3421, 7805, 538, 519, 2834, 2994, 269, 634, 3532, 5610, 540, 2098, 298, 303, 609, 4357, 9893, 8852, 666, 1118, 873, 11684, 2509, 1022, 1826, 540, 28892, 610, 13779, 563, 763, 1034, 6654, 1383, 540, 7311, 2098, 298, 303, 609, 9893, 782, 26360, 547, 741, 11180, 1909, 538, 10992, 16018, 269, 2098, 298, 11679, 666, 2285, 6325, 4267, 585, 2912, 3386, 13359, 676, 10916, 519, 16018, 593, 513, 1857, 9893, 630, 7945, 607, 552, 20273, 1916, 8138, 8019, 267, 13359, 3157, 1131, 711, 991, 1022, 3791, 5428, 21533, 7258, 27195, 519, 10421, 585, 19231, 269, 2098, 298, 11679, 666, 11863, 17037, 547, 6542, 741, 25046, 585, 16213, 513, 8917, 267, 2059, 891, 3515, 7303, 4598, 540, 741, 6213, 2123, 1239, 269, 19452, 267, 17037, 666, 7662, 1799, 17014, 2963, 585, 7156, 540, 741, 8917, 538, 3803, 8917, 1293, 563, 8310, 855, 711, 2547, 267, 20023, 268, 32474, 6169, 849, 1201, 1149, 519, 1259, 9893, 2029, 568, 2847, 2086, 532, 8852, 563, 313, 298, 303, 8591, 513, 1164, 15134, 3354, 1377, 547, 1169, 3625, 5627, 6213, 12948, 1344, 899, 707, 5491, 3556, 3877, 543, 1686, 267, 971, 602, 8492, 991, 547, 13861, 1152, 2838, 7161, 950, 513, 3593, 13668, 585, 1344, 269, 4033, 7161, 2611, 2150, 31189, 543, 3976, 267, 6870, 269, 0, 13775, 4864, 476, 1704, 267, 476, 1708, 274, 454, 1103, 513, 4484, 538, 476, 3422, 275, 267, 2605, 269, 4936, 334, 15050, 7236, 6035, 1010, 5583, 585, 519, 5171, 540, 513, 10554, 593, 519, 1396, 21395, 538, 6301, 345, 267, 5125, 269, 1261, 4280, 2676, 3674, 519, 1396, 17790, 957, 267, 543, 609, 621, 519, 2495, 540, 1396, 21395, 538, 2489, 267, 865, 13840, 3808, 30867, 2615, 267, 10120, 267, 610, 3046, 20529, 20196, 952, 835, 568, 2469, 547, 581, 9237, 267, 835, 1058, 10205, 621, 7357, 286, 9701, 333, 1406, 835, 3142, 13951, 547, 8275, 602, 513, 1480, 1373, 538, 519, 4853, 2085, 267, 519, 5736, 540, 2029, 267, 543, 538, 519, 25349, 3889, 4611, 689, 873, 267, 568, 3274, 1100, 3476, 5827, 540, 519, 1396, 17790, 957, 286, 1656, 12582, 1406, 835, 267, 3079, 540, 6158, 827, 25430, 267, 2015, 538, 1018, 1259, 519, 10723, 13655, 616, 547, 581, 9976, 865, 602, 513, 1268, 2221, 1223, 9305, 547, 873, 609, 1010, 5168, 888, 1103, 1010, 4484, 267, 15050, 7236, 3091, 606, 1383, 547, 2491, 1946, 646, 13300, 827, 519, 4390, 540, 1004, 538, 519, 4571, 2389, 342, 12351, 2540, 547, 4163, 856, 1018, 646, 7125, 968, 1492, 1396, 17790, 957, 1848, 1261, 11339, 912, 2252, 594, 13498, 713, 7157, 267, 519, 6093, 1268, 538, 519, 13524, 2540, 729, 1100, 3476, 5827, 540, 713, 957, 267, 538, 1249, 267, 646, 1100, 3476, 6956, 4376, 827, 621, 269, 1280, 1864, 267, 3909, 2623, 729, 3274, 602, 799, 729, 4835, 547, 519, 1367, 30147, 1287, 10924, 519, 1915, 540, 606, 4013, 267, 1857, 32444, 640, 607, 513, 968, 26569, 21395, 1848, 2060, 602, 267, 519, 2495, 540, 519, 1396, 17790, 957, 729, 4503, 269, 1548, 519, 1825, 591, 5340, 729, 711, 2965, 513, 1396, 17790, 957, 267, 855, 513, 4357, 267, 6418, 957, 1958, 1078, 538, 18428, 1765, 2254, 1102, 18526, 10483, 676, 519, 4743, 602, 519, 16008, 729, 513, 17522, 547, 713, 957, 563, 17780, 593, 519, 19876, 540, 15050, 7236, 779, 476, 3422, 275, 4484, 267, 23323, 528, 32181, 2401, 267, 13013, 289, 267, 689, 519, 27694, 540, 12756, 5487, 778, 538, 5125, 267, 513, 13398, 540, 1396, 17790, 6963, 693, 519, 942, 267, 4280, 13977, 26690, 4589, 689, 1585, 10080, 267, 6140, 23597, 7132, 513, 1906, 14308, 1218, 267, 968, 9989, 2413, 812, 1869, 723, 513, 4390, 585, 1396, 21395, 9495, 12462, 296, 560, 3541, 631, 839, 577, 13153, 646, 1393, 1100, 577, 1396, 4026, 3971, 7564, 327, 580, 9495, 1040, 2290, 540, 891, 4589, 729, 594, 6767, 17054, 518, 833, 717, 23152, 637, 630, 5002, 272, 268, 3192, 272, 1040, 901, 1557, 568, 1200, 3210, 269, 4173, 1557, 1281, 711, 723, 513, 2140, 269, 594, 723, 3144, 519, 2140, 540, 713, 8313, 538, 8298, 657, 585, 1312, 519, 2296, 8144, 12462, 2691, 6496, 513, 12287, 5620, 513, 27519, 585, 22175, 21395, 9495, 264, 543, 519, 4436, 1257, 12462, 310, 2335, 568, 339, 3541, 631, 839, 577, 1396, 4026, 3971, 7564, 327, 580, 9495, 1070, 689, 519, 16144, 540, 3296, 4083, 538, 1200, 1557, 269, 594, 5697, 713, 607, 519, 2140, 1317, 717, 23152, 637, 3615, 547, 519, 1259, 32181, 2401, 814, 29600, 519, 2243, 543, 1352, 3079, 1201, 29707, 519, 1888, 676, 30286, 713, 607, 1200, 1378, 2243, 269, 1496, 2690, 713, 8313, 538, 2290, 8834, 12866, 267, 594, 11331, 519, 1557, 968, 9989, 7073, 2494, 5620, 513, 27519, 585, 22175, 21395, 9495, 1317, 713, 1732, 9356, 1018, 729, 9763, 607, 513, 10296, 2243, 540, 519, 5736, 950, 717, 23152, 637, 5206, 713, 267, 1256, 1247, 717, 23152, 637, 15109, 713, 519, 4636, 1259, 547, 1935, 713, 1888, 24358, 763, 8144, 540, 713, 1557, 883, 2296, 15054, 513, 1880, 4161, 1317, 972, 568, 1100, 2296, 2262, 585, 519, 1360, 1888, 540, 519, 1557, 269, 898, 568, 6829, 538, 4436, 676, 519, 7623, 18781, 1396, 4026, 3971, 7564, 327, 580, 543, 519, 1644, 7623, 10902, 22175, 4026, 3971, 7564, 327, 580, 651, 527, 269, 594, 8359, 547, 14377, 1396, 4026, 3971, 7564, 327, 580, 607, 968, 327, 3058, 513, 4390, 585, 1396, 21395, 1848, 594, 14377, 519, 2034, 3368, 540, 713, 7623, 2262, 267, 968, 268, 325, 7564, 327, 580, 2223, 607, 968, 327, 3058, 513, 4390, 892, 2094, 594, 1174, 717, 23152, 637, 547, 1611, 676, 968, 268, 325, 7564, 327, 580, 892, 1312, 968, 1492, 2179, 602, 666, 581, 4371, 892, 543, 968, 1492, 2702, 547, 798, 1945, 538, 1880, 3034, 763, 1439, 17084, 538, 713, 8313, 538, 1312, 713, 2296, 8144, 543, 519, 4436, 1257, 723, 1044, 3773, 676, 803, 269, 634, 3312, 4436, 1257, 689, 476, 3422, 277, 814, 1100, 14391, 566, 563, 8802, 8973, 519, 1396, 17790, 15024, 540, 713, 5736, 267, 594, 6767, 717, 23152, 637, 1500, 3606, 7422, 31251, 930, 8325, 30852, 24568, 1200, 476, 3422, 280, 1557, 267, 968, 7230, 10225, 593, 22966, 756, 2329, 2223, 1496, 615, 476, 3422, 280, 1557, 968, 20779, 565, 819, 18858, 3591, 538, 519, 5783, 2223, 316, 543, 1200, 476, 3192, 271, 11000, 267, 968, 307, 6412, 532, 519, 5783, 1848, 0, 16240, 513, 1617, 574, 27567, 1557, 568, 711, 607, 1455, 607, 824, 3594, 269, 11048, 267, 950, 2838, 547, 2328, 971, 2186, 540, 606, 1557, 267, 621, 1522, 581, 4101, 1317, 540, 922, 2497, 543, 3334, 563, 11372, 574, 27567, 3594, 5401, 5830, 547, 1397, 741, 2702, 547, 5968, 609, 1114, 9458, 538, 1114, 8658, 269, 1452, 3594, 666, 581, 1187, 547, 2328, 267, 1256, 952, 596, 5749, 1406, 7357, 2386, 875, 547, 2253, 269, 18641, 267, 972, 616, 2994, 596, 666, 946, 547, 1205, 1852, 540, 707, 1557, 543, 2328, 835, 602, 707, 14357, 786, 5660, 454, 4322, 3594, 17663, 5961, 267, 5931, 267, 7044, 267, 19297, 267, 14676, 267, 543, 824, 21055, 12331, 269, 1656, 585, 1082, 267, 13326, 782, 891, 949, 581, 646, 8157, 269, 3245, 1382, 267, 2870, 606, 7291, 267, 1603, 707, 1101, 8908, 267, 543, 2847, 2358, 621, 267, 1617, 574, 27567, 3594, 616, 5266, 2147, 547, 824, 1603, 4773, 269, 634, 1152, 3017, 568, 519, 10014, 540, 1896, 12331, 563, 3383, 267, 875, 798, 596, 2328, 513, 1617, 574, 27567, 1557, 286, 769, 713, 2022, 267, 649, 1413, 693, 519, 3268, 543, 519, 2596, 1590, 3620, 2314, 269, 1809, 1354, 1287, 267, 1577, 779, 5581, 513, 1617, 574, 27567, 1557, 563, 1432, 568, 513, 5564, 574, 27567, 4828, 888, 288, 1617, 574, 27567, 1557, 568, 513, 4062, 540, 1603, 602, 3096, 1114, 12331, 540, 2792, 267, 971, 607, 1257, 543, 23877, 267, 547, 2769, 606, 2856, 610, 4661, 269, 634, 4367, 543, 3932, 616, 1419, 2854, 538, 2239, 1106, 267, 855, 519, 1560, 9433, 616, 11295, 538, 1585, 2081, 4470, 593, 519, 1888, 1373, 5941, 543, 1018, 7154, 4433, 264, 596, 1616, 547, 946, 585, 1142, 5037, 563, 763, 1114, 12331, 1039, 3099, 547, 606, 1557, 610, 5031, 835, 2460, 540, 707, 4661, 269, 898, 666, 581, 1031, 538, 1022, 9015, 855, 568, 11342, 538, 1148, 1686, 267, 2296, 543, 1893, 2090, 267, 4670, 2090, 267, 543, 2923, 11305, 8590, 2090, 563, 9827, 1294, 281, 2052, 596, 946, 2123, 21770, 538, 3594, 888, 2690, 1383, 267, 952, 596, 2461, 1603, 827, 875, 4224, 2575, 568, 519, 1655, 9135, 2479, 547, 2291, 267, 596, 1522, 1331, 5961, 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 ]
[ 267, 2263, 713, 782, 1005, 24848, 516, 267, 543, 6148, 14693, 267, 596, 1223, 3565, 707, 1378, 5479, 18311, 15832, 9661, 2347, 609, 922, 1378, 8320, 540, 1280, 1027, 1160, 343, 14383, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2467, 616, 513, 9522, 540, 1433, 11964, 543, 24848, 637, 856, 972, 269, 1656, 952, 596, 2811, 606, 967, 773, 2278, 267, 621, 781, 513, 1434, 2856, 547, 24559, 3054, 609, 519, 11964, 596, 1544, 547, 2328, 538, 269, 18833, 519, 2101, 21050, 525, 543, 4162, 540, 707, 1433, 9135, 2337, 2327, 602, 596, 3513, 2328, 513, 1650, 602, 10742, 5467, 6788, 563, 3383, 2436, 596, 1616, 547, 2328, 513, 3209, 610, 513, 1875, 27395, 1433, 267, 649, 4312, 3893, 596, 4988, 609, 713, 538, 3829, 1592, 540, 1433, 11964, 563, 2171, 3513, 1376, 609, 5708, 543, 1287, 3382, 1875, 27395, 11964, 1310, 602, 2336, 268, 11470, 1433, 11964, 543, 741, 4162, 454, 268, 27140, 1433, 11964, 543, 741, 4162, 454, 268, 1215, 547, 1265, 519, 1318, 11964, 543, 17161, 3533, 543, 3362, 454, 8368, 540, 9115, 454, 268, 11470, 3883, 2637, 637, 454, 268, 27140, 2637, 637, 454, 268, 2637, 516, 3194, 17214, 14168, 454, 293, 2109, 3883, 2637, 637, 454, 14197, 5708, 11964, 616, 3875, 269, 769, 1249, 267, 8835, 814, 936, 476, 1691, 267, 1822, 6688, 547, 3442, 689, 256, 24664, 1176, 267, 649, 3513, 1152, 581, 2469, 936, 519, 2101, 3283, 538, 713, 1592, 269, 15775, 707, 1433, 538, 519, 1318, 11964, 11305, 20975, 568, 606, 5393, 1271, 3824, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2690, 1027, 1160, 343, 14383, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 9291, 542, 320, 2231, 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, 17345, 5149, 281, 3203, 607, 513, 4813, 540, 14308, 910, 4197, 519, 5295, 540, 2920, 13659, 998, 3203, 692, 8893, 476, 272, 281, 4985, 547, 3203, 607, 513, 4813, 540, 14308, 692, 5970, 596, 2479, 4862, 540, 1004, 1210, 1148, 547, 2769, 741, 4606, 610, 4555, 827, 1945, 1271, 286, 3203, 666, 1491, 1082, 3029, 267, 971, 607, 10367, 267, 2575, 267, 8265, 12644, 267, 543, 811, 269, 10801, 1686, 267, 5159, 723, 1031, 741, 15421, 547, 3142, 3007, 547, 1514, 2152, 267, 12167, 585, 1689, 267, 543, 8300, 1866, 547, 1491, 2962, 269, 901, 568, 1634, 607, 7499, 17933, 780, 5331, 1373, 865, 13347, 827, 1945, 602, 596, 1745, 25997, 547, 1711, 513, 4062, 540, 11247, 547, 2671, 707, 5048, 609, 519, 1158, 269, 2334, 781, 1018, 7499, 17933, 568, 782, 827, 256, 769, 713, 1576, 1770, 267, 649, 786, 2263, 875, 5159, 946, 741, 5876, 547, 13889, 543, 3142, 827, 2318, 1689, 538, 2486, 780, 8893, 476, 273, 281, 20821, 519, 20551, 910, 11806, 266, 20551, 543, 4256, 8177, 692, 3080, 1895, 540, 5159, 945, 723, 1044, 1360, 3742, 538, 1210, 741, 960, 585, 2797, 543, 1514, 1689, 616, 2818, 540, 519, 11806, 266, 2146, 269, 1452, 5159, 3068, 2189, 2591, 1813, 547, 6848, 14882, 543, 7130, 267, 2943, 789, 3136, 547, 1711, 3532, 1568, 602, 4161, 11475, 543, 3895, 1620, 780, 2690, 1383, 267, 3223, 603, 670, 2130, 729, 606, 1977, 7376, 945, 2968, 4583, 538, 519, 476, 2735, 271, 338, 585, 1010, 7524, 1402, 1148, 267, 799, 1419, 9619, 32270, 543, 15978, 269, 3571, 11599, 2592, 267, 899, 519, 32689, 4816, 543, 13626, 532, 2915, 267, 616, 14678, 25992, 543, 3136, 547, 8300, 1007, 5481, 540, 5159, 269, 6271, 8037, 4137, 568, 3057, 23127, 15519, 7714, 267, 606, 3979, 1977, 4670, 20447, 543, 19191, 4171, 14262, 17245, 26280, 1132, 772, 660, 1221, 8268, 4798, 540, 3109, 27828, 267, 4630, 22785, 267, 543, 519, 28622, 540, 5198, 267, 14920, 267, 543, 3961, 780, 8893, 476, 274, 281, 8805, 589, 652, 12060, 910, 16871, 519, 17023, 692, 290, 2086, 15312, 568, 513, 2511, 1419, 2404, 609, 27105, 267, 26974, 3740, 267, 543, 14973, 2609, 269, 898, 568, 6353, 676, 922, 1016, 951, 633, 2470, 543, 2702, 547, 1093, 651, 1187, 693, 13416, 2528, 1247, 1869, 23187, 3978, 6835, 269, 8805, 814, 1044, 17947, 676, 1082, 5159, 1369, 519, 11806, 266, 2146, 607, 513, 1259, 547, 29379, 1379, 543, 8661, 741, 9163, 780, 288, 1390, 1383, 540, 3786, 15312, 568, 519, 8749, 15596, 2773, 1148, 6429, 269, 28463, 30842, 9192, 6752, 267, 17539, 267, 18792, 267, 543, 7544, 547, 1711, 20498, 2982, 602, 1312, 7038, 543, 13599, 9458, 827, 4008, 5714, 640, 267, 1582, 22325, 267, 543, 10343, 269, 2368, 1134, 8153, 8749, 22407, 1331, 22859, 26469, 267, 15248, 645, 22324, 267, 543, 590, 26474, 20653, 712, 780, 8893, 476, 275, 281, 3203, 2065, 2920, 13659, 4653, 910, 20528, 781, 8479, 5019, 22246, 692, 9209, 2065, 17933, 3884, 1405, 1175, 1945, 602, 5949, 538, 519, 2250, 282, 621, 5170, 547, 1404, 606, 1898, 1909, 538, 2413, 5322, 585, 1514, 1689, 269, 2290, 2487, 1383, 2501, 689, 20528, 267, 1141, 1762, 1486, 22246, 3576, 547, 519, 10754, 538, 5412, 476, 1001, 279, 547, 28487, 1996, 519, 2229, 269, 6736, 6849, 5208, 543, 15746, 267, 891, 12703, 2043, 1031, 1148, 547, 3262, 741, 5048, 540, 4126, 543, 4187, 780, 5445, 2813, 4190, 9597, 1023, 18995, 4708, 267, 9322, 267, 543, 5191, 267, 799, 6039, 607, 6698, 540, 741, 6560, 543, 6273, 1866, 547, 6443, 873, 269, 8535, 849, 5129, 513, 1713, 1909, 538, 519, 3350, 267, 609, 8964, 899, 834, 26466, 4520, 267, 13458, 267, 10456, 257, 4742, 606, 1492, 916, 585, 519, 1486, 22246, 269, 3414, 741, 3860, 7215, 267, 20528, 781, 1762, 1486, 22246, 4951, 519, 1158, 602, 1148, 666, 581, 513, 3532, 1907, 585, 8744, 827, 1689, 780, 8893, 476, 276, 281, 29460, 606, 3203, 22999, 910, 1215, 1411, 2052, 5269, 513, 16338, 692, 3086, 602, 596, 4312, 4121, 827, 930, 5863, 7499, 15628, 543, 741, 1764, 267, 596, 1522, 581, 11842, 875, 596, 666, 1205, 3238, 269, 634, 1434, 3377, 568, 602, 4896, 666, 1831, 606, 834, 691, 22999, 257, 1107, 2576, 945, 3096, 1148, 547, 1711, 1514, 1689, 269, 3371, 616, 930, 3268, 547, 948, 596, 1205, 3323, 1384, 272, 269, 10576, 606, 3390, 602, 6927, 547, 596, 269, 1548, 616, 596, 13730, 827, 286, 1772, 972, 513, 2014, 596, 1616, 547, 1489, 610, 513, 1966, 596, 9364, 899, 547, 4194, 888, 273, 269, 11020, 10445, 2081, 596, 666, 946, 1148, 547, 2232, 713, 3390, 269, 6056, 827, 1114, 23447, 630, 9526, 532, 267, 7206, 267, 17001, 267, 10344, 267, 1603, 267, 2575, 267, 3092, 4700, 543, 6430, 799, 835, 1655, 17015, 707, 5048, 543, 1983, 563, 274, 269, 8073, 707, 11247, 543, 2671, 621, 609, 1866, 269, 2422, 1514, 2923, 5867, 267, 2199, 26847, 267, 610, 2146, 2621, 547, 13686, 707, 13144, 543, 6318, 4656, 827, 707, 6074, 2014, 563, 275, 269, 11622, 622, 609, 1866, 269, 4045, 609, 8284, 1148, 643, 1235, 610, 3906, 2324, 2509, 2147, 3853, 269, 8625, 267, 596, 666, 24244, 1142, 824, 781, 9739, 543, 2333, 707, 7104, 1764, 780, 3528, 1739, 891, 2241, 3268, 267, 596, 1932, 666, 10244, 519, 1379, 540, 1148, 547, 1711, 6209, 1689, 543, 3565, 547, 513, 1732, 1158, 269, 1924, 979, 6619, 267, 25793, 1662, 707, 6418, 1148, 22999, 267, 543, 1577, 707, 5876, 19542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12892, 22994, 16478, 267, 18650, 267, 4427, 11437, 267, 543, 15765, 966, 7860, 454, 3682, 11687, 1996, 519, 20528, 3150, 12512, 538, 12670, 267, 5412, 476, 1001, 279, 269, 12005, 676, 18897, 22978, 5899, 553, 553, 267, 3842, 674, 5585, 337, 454, 12892, 22994, 16478, 543, 18650, 13600, 569, 9012, 18471, 1575, 912, 314, 1607, 568, 513, 10865, 5180, 1575, 540, 3377, 4930, 543, 824, 2326, 21883, 593, 18650, 267, 4427, 11437, 267, 543, 4317, 22994, 16478, 538, 519, 6259, 1158, 267, 543, 9356, 513, 2647, 3099, 540, 8369, 269, 898, 1281, 711, 2992, 519, 5784, 540, 519, 15769, 540, 713, 5816, 267, 634, 1306, 325, 926, 4659, 781, 267, 6862, 589, 18510, 781, 269, 898, 568, 5423, 676, 715, 3385, 717, 8518, 712, 267, 543, 3370, 538, 11450, 609, 808, 611, 8932, 344, 5984, 24358, 20103, 476, 1001, 279, 1299, 5130, 476, 1001, 280, 5240, 1299, 19410, 2456, 454, 763, 16200, 543, 27202, 24606, 540, 20528, 779, 8479, 5019, 22246, 267, 676, 715, 553, 2240, 19869, 592, 321, 926, 4595, 4571, 268, 20103, 267, 12560, 17600, 616, 2921, 1747, 2066, 20528, 267, 5103, 513, 4049, 11523, 6658, 689, 519, 2229, 543, 519, 11318, 540, 693, 2547, 17288, 19317, 1486, 22246, 269, 21231, 519, 17600, 941, 513, 5114, 547, 8375, 5777, 267, 855, 4166, 5828, 883, 513, 3747, 585, 606, 1439, 547, 5518, 744, 3405, 670, 817, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 11806, 266, 20551, 1315, 8805, 589, 652, 12060, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 267, 972, 729, 513, 9589, 10806, 1141, 3025, 5030, 25747, 2479, 1310, 269, 769, 713, 10806, 267, 972, 941, 1614, 1655, 2828, 3957, 18581, 10610, 267, 9650, 344, 9650, 267, 543, 27910, 344, 13336, 269, 1358, 6068, 4730, 1927, 543, 1565, 1007, 1919, 1169, 1554, 2439, 3080, 13566, 12784, 267, 1247, 3695, 519, 4190, 4104, 2282, 741, 5321, 267, 789, 16686, 2390, 1945, 8966, 910, 513, 30437, 6149, 609, 9490, 6698, 31960, 5196, 922, 2627, 269, 1306, 4166, 607, 789, 20109, 621, 267, 519, 6149, 3459, 547, 3717, 256, 898, 1767, 267, 834, 294, 22901, 902, 267, 1762, 3283, 269, 594, 993, 1934, 547, 4001, 596, 827, 3117, 4109, 20556, 18868, 3010, 289, 10154, 267, 9650, 344, 267, 543, 27910, 344, 6743, 693, 1142, 824, 8049, 569, 269, 1548, 1705, 602, 1611, 2496, 763, 6149, 4797, 267, 834, 2791, 1294, 267, 950, 1004, 2170, 609, 835, 1776, 267, 789, 666, 1711, 1114, 5686, 540, 3347, 1759, 593, 875, 789, 1589, 267, 1745, 267, 543, 957, 2509, 1142, 824, 269, 1656, 1175, 899, 875, 596, 1404, 23182, 609, 707, 2828, 267, 6738, 13522, 849, 991, 547, 1451, 875, 547, 1205, 2059, 1134, 609, 1866, 3010, 21790, 344, 6659, 1200, 1688, 630, 3286, 899, 1352, 1281, 538, 1153, 14386, 543, 4280, 267, 834, 3719, 1946, 568, 621, 1572, 1412, 10940, 262, 2078, 6384, 12482, 763, 6149, 20493, 27145, 543, 14452, 267, 834, 15124, 2243, 267, 9650, 344, 256, 9861, 6857, 1797, 1373, 3222, 540, 938, 1378, 4555, 267, 4606, 267, 543, 3527, 267, 607, 1134, 607, 1346, 1472, 721, 269, 1879, 649, 2259, 6857, 2078, 6384, 267, 649, 2119, 547, 1174, 6000, 543, 1866, 1732, 865, 602, 649, 666, 1628, 6793, 4296, 3010, 8967, 1046, 344, 1287, 16403, 539, 538, 267, 834, 3383, 267, 952, 594, 1616, 547, 581, 8799, 547, 1250, 3659, 25381, 19594, 267, 594, 1058, 1101, 2628, 3007, 547, 875, 594, 6415, 4743, 3330, 543, 1287, 3442, 547, 2671, 1945, 2186, 609, 1864, 12482, 257, 2750, 18075, 10590, 608, 13094, 519, 6149, 269, 834, 2691, 596, 2811, 13533, 540, 707, 4664, 543, 15752, 267, 596, 666, 1118, 2318, 5079, 602, 4324, 1312, 3054, 543, 1866, 269, 901, 2337, 1711, 2635, 3347, 3710, 593, 3972, 267, 2463, 267, 543, 2648, 3010, 2026, 789, 4797, 6972, 998, 519, 4104, 267, 18581, 8068, 1082, 10477, 5810, 3395, 7258, 519, 2619, 269, 1261, 13603, 909, 513, 546, 24387, 543, 4280, 267, 834, 1432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8525, 476, 1839, 540, 519, 11759, 14329, 1504, 585, 606, 4587, 3014, 3710, 593, 667, 22936, 476, 274, 269, 276, 779, 5943, 267, 11202, 325, 5407, 267, 3085, 1406, 1256, 21898, 547, 21372, 602, 2856, 912, 295, 2788, 11399, 14369, 616, 1395, 560, 4592, 885, 267, 741, 13249, 24570, 519, 1267, 540, 829, 11437, 543, 5208, 29932, 693, 2547, 267, 602, 779, 875, 824, 14797, 1294, 873, 269, 898, 779, 3020, 602, 3368, 11399, 14369, 616, 10355, 519, 1267, 540, 15962, 18787, 267, 543, 607, 971, 616, 2356, 7142, 547, 1332, 909, 2182, 543, 3728, 267, 7683, 8165, 585, 4027, 610, 547, 1118, 4408, 585, 2933, 563, 1103, 4334, 267, 1317, 1312, 3425, 543, 1714, 1407, 616, 1404, 762, 267, 741, 18787, 616, 22466, 547, 581, 931, 839, 783, 269, 14755, 267, 789, 15666, 547, 8789, 5898, 4441, 267, 7429, 519, 12457, 1606, 7219, 2740, 267, 9386, 1606, 330, 592, 1194, 610, 14369, 609, 741, 31732, 24851, 4522, 269, 1924, 741, 1453, 616, 1869, 9296, 3228, 2406, 16678, 267, 1175, 711, 13249, 563, 2005, 8910, 581, 3983, 2614, 1256, 1510, 610, 14369, 685, 7292, 8193, 282, 855, 519, 3368, 11399, 322, 2239, 859, 10280, 932, 532, 326, 529, 10609, 12298, 779, 26704, 1596, 4593, 8462, 543, 519, 14117, 3131, 559, 8305, 9189, 540, 1306, 2103, 27560, 2476, 9120, 3043, 2021, 1765, 8145, 1897, 1346, 689, 3487, 594, 286, 6519, 3013, 11564, 2147, 11475, 2390, 1977, 12075, 267, 4563, 4892, 267, 543, 5824, 657, 269, 1879, 513, 5198, 27573, 609, 7292, 11475, 6411, 856, 1219, 600, 2218, 11475, 2404, 609, 1346, 14797, 267, 1483, 1004, 7985, 563, 3383, 875, 568, 713, 632, 16058, 1944, 2497, 15502, 547, 1820, 538, 2835, 888, 2252, 596, 1265, 513, 1259, 547, 28103, 606, 8763, 1129, 8595, 689, 513, 22457, 4082, 267, 855, 1832, 519, 4082, 16856, 267, 596, 8190, 519, 22457, 6422, 1510, 519, 8763, 8446, 269, 898, 8952, 519, 1543, 519, 1482, 267, 855, 21810, 606, 14699, 883, 513, 2890, 12000, 1833, 30147, 267, 538, 30251, 2486, 267, 568, 2965, 8338, 982, 606, 14699, 267, 1317, 621, 13733, 896, 519, 16986, 269, 2271, 30102, 8322, 1235, 1205, 547, 28417, 621, 17946, 718, 1263, 539, 269, 1133, 842, 30102, 19057, 4584, 621, 909, 543, 10956, 621, 267, 3339, 1944, 543, 9070, 908, 621, 563, 2710, 596, 1294, 1018, 779, 2469, 593, 1934, 267, 936, 5756, 543, 5481, 286, 3689, 267, 3935, 9088, 2097, 909, 609, 713, 3069, 540, 3425, 543, 711, 6709, 924, 3620, 636, 753, 538, 1931, 547, 17854, 6386, 543, 4507, 540, 5208, 543, 23487, 2509, 25165, 269, 3973, 808, 305, 305, 570, 13083, 1329, 556, 5809, 891, 6386, 538, 7083, 540, 519, 681, 902, 267, 26587, 3842, 5664, 268, 24160, 513, 1352, 523, 540, 14810, 543, 2463, 1464, 676, 2220, 6260, 856, 968, 302, 686, 1581, 892, 610, 968, 300, 784, 565, 892, 585, 968, 528, 322, 892, 610, 968, 326, 984, 4802, 1848, 1452, 21050, 525, 22107, 1228, 547, 513, 1007, 5108, 540, 6720, 553, 1235, 4171, 7772, 568, 547, 18220, 741, 4259, 282, 543, 1247, 789, 949, 711, 29596, 1174, 610, 11760, 689, 799, 2620, 1606, 564, 12886, 741, 20032, 20950, 267, 18562, 789, 2259, 24568, 835, 540, 519, 1483, 652, 12823, 2139, 547, 30251, 2486, 23121, 632, 16058, 1125, 10995, 7919, 269, 22569, 2435, 7919, 269, 769, 5708, 269, 2334, 779, 20027, 267, 1318, 888, 27745, 4896, 2731, 1451, 5615, 689, 3756, 799, 789, 2769, 538, 1483, 3734, 10168, 888, 11039, 267, 9811, 282, 543, 952, 596, 6108, 1022, 942, 593, 519, 5769, 267, 596, 1522, 2907, 723, 606, 2856, 945, 269, 3245, 519, 1004, 945, 4547, 596, 519, 715, 15425, 1509, 324, 6693, 31171, 281, 2107, 14369, 607, 606, 16816, 7304, 697, 13928, 1733, 16824, 454, 2691, 594, 1101, 11540, 713, 2376, 513, 1906, 2395, 3516, 267, 594, 3893, 1896, 6835, 593, 12108, 11589, 5335, 592, 640, 602, 4896, 1131, 2721, 1022, 4276, 1063, 513, 14070, 20599, 543, 513, 1483, 8996, 14940, 269, 5808, 538, 741, 1318, 2247, 1131, 798, 971, 513, 3364, 888, 6546, 5335, 592, 748, 5114, 568, 267, 538, 1249, 267, 1018, 2306, 610, 14369, 971, 513, 5906, 1129, 8595, 538, 519, 4636, 3946, 269, 4107, 1004, 23142, 22457, 9126, 16372, 676, 1259, 540, 610, 14369, 723, 1100, 2856, 789, 798, 865, 282, 594, 6157, 4769, 1406, 1354, 519, 2250, 7008, 1296, 269, 1809, 798, 586, 685, 718, 917, 1018, 513, 2915, 27646, 568, 888, 288, 2915, 27646, 568, 606, 4082, 799, 1797, 835, 3364, 547, 519, 2489, 17069, 864, 267, 855, 814, 513, 2034, 630, 663, 1419, 2184, 545, 1242, 264, 2495, 547, 513, 2824, 1895, 269, 6884, 713, 6281, 2495, 568, 16662, 30102, 267, 610, 5310, 24865, 689, 17499, 9186, 281, 585, 1383, 267, 952, 596, 2995, 513, 1268, 540, 2681, 789, 968, 14588, 752, 865, 1134, 2223, 616, 596, 1016, 4621, 19290, 11589, 707, 9983, 602, 789, 5749, 1406, 606, 2192, 30185, 512, 5766, 331, 1328, 974, 286, 2334, 8360, 568, 513, 2186, 540, 2915, 27646, 267, 1317, 1346, 540, 721, 945, 723, 4862, 621, 1031, 607, 513, 1394, 8518, 539, 5360, 2939, 1745, 8335, 950, 2576, 3081, 602, 547, 721, 982, 950, 2576, 945, 779, 2760, 4862, 621, 1354, 538, 741, 1272, 1522, 1745, 269, 3509, 540, 596, 616, 7680, 713, 8237, 5114, 1318, 1631, 267, 547, 6217, 827, 610, 14369, 281, 594, 4076, 2760, 2219, 827, 621, 713, 1259, 267, 865, 1946, 1058, 621, 2339, 602, 713, 18560, 593, 519, 5769, 3081, 610, 14369, 723, 547, 798, 609, 10168, 286, 2334, 779, 875, 2890, 12000, 4809, 10168, 1568, 267, 1498, 281, 1152, 519, 2800, 539, 5469, 621, 267, 855, 950, 649, 2119, 547, 2995, 1866, 827, 621, 789, 2995, 721, 649, 1590, 581, 21173, 267, 865, 621, 8952, 8345, 563, 2467, 779, 1776, 2186, 540, 2915, 27646, 267, 1498, 267, 799, 568, 513, 12990, 2165, 2818, 540, 606, 538, 31228, 17543, 946, 547, 5968, 606, 18086, 2856, 547, 835, 1776, 267, 610, 547, 741, 14763, 267, 1510, 30251, 2486, 711, 6005, 267, 899, 968, 29514, 626, 31794, 892, 585, 7642, 269, 6884, 789, 1118, 8942, 693, 11029, 1399, 269, 4033, 2053, 789, 1810, 1406, 2119, 5176, 607, 2182, 2560, 971, 607, 538, 476, 1001, 278, 267, 950, 519, 5621, 28878, 3459, 547, 3262, 519, 1948, 528, 322, 14006, 532, 1509, 324, 269, 2107, 322, 14006, 338, 616, 13819, 32718, 689, 519, 7083, 540, 519, 681, 902, 8874, 609, 2413, 24657, 6772, 4660, 593, 873, 543, 968, 528, 14369, 892, 13868, 968, 10915, 4007, 525, 2223, 968, 9404, 580, 7847, 2223, 968, 15404, 32093, 2223, 543, 2147, 2516, 519, 5621, 28878, 934, 4926, 540, 22215, 543, 21006, 5375, 10340, 269, 1924, 30971, 267, 1256, 952, 596, 1810, 1406, 1118, 602, 4276, 286, 1452, 16921, 267, 7247, 594, 23487, 4881, 883, 693, 11193, 3655, 2231, 543, 11080, 14908, 267, 798, 269, 1358, 2461, 1210, 968, 528, 322, 892, 607, 513, 29905, 585, 1004, 945, 1413, 899, 803, 543, 1004, 594, 1416, 827, 269, 3767, 789, 666, 11884, 17538, 6960, 1004, 616, 5260, 720, 554, 867, 525, 945, 17330, 547, 5884, 269, 1403, 2576, 7125, 873, 593, 621, 267, 789, 1205, 547, 2161, 267, 968, 1692, 546, 732, 596, 1118, 519, 4276, 1063, 610, 14369, 543, 1004, 540, 2681, 950, 594, 729, 8806, 6158, 827, 14070, 28749, 256, 1411, 616, 519, 1483, 22457, 28461, 3383, 950, 1004, 1376, 2587, 337, 1176, 21108, 570, 13083, 1329, 547, 803, 286, 3767, 594, 1810, 1406, 917, 2436, 789, 10990, 609, 1250, 2079, 267, 610, 789, 10990, 609, 1250, 2079, 543, 789, 849, 1589, 594, 6557, 711, 1480, 563, 3383, 594, 991, 547, 23294, 1125, 547, 1082, 540, 586, 685, 718, 856, 972, 945, 1616, 547, 7521, 519, 2798, 538, 713, 2376, 609, 803, 269, 1955, 2742, 4431, 547, 930, 540, 596, 269, 594, 2731, 1616, 547, 2911, 827, 713, 1641, 609, 596, 267, 4352, 594, 3622, 4782, 547, 798, 865, 538, 1268, 609, 6995, 693, 513, 15007, 610, 1945, 269, 1809, 594, 6557, 711, 15963, 1506, 1317, 594, 1589, 596, 10990, 609, 803, 269, 594, 6557, 15963, 1506, 1317, 594, 6557, 12922, 596, 2461, 711, 2922, 547, 2911, 547, 827, 5198, 30147, 3884, 1406, 4023, 547, 930, 540, 596, 267, 855, 594, 666, 1406, 2141, 1491, 602, 1981, 563, 2005, 779, 711, 707, 13337, 269, 1411, 4769, 1406, 2995, 873, 547, 798, 713, 269, 1809, 789, 2461, 856, 972, 267, 543, 865, 1631, 649, 666, 1406, 723, 8799, 1919, 563, 9827, 267, 594, 575, 27198, 2995, 596, 827, 1945, 602, 5949, 693, 15707, 6625, 563, 2005, 779, 2243, 7146, 268, 24987, 942, 693, 968, 305, 659, 1143, 538, 26135, 717, 5446, 2223, 513, 8470, 594, 15645, 730, 609, 631, 22781, 22084, 1506, 4526, 543, 631, 843, 1042, 595, 8014, 607, 8470, 1235, 693, 15707, 6625, 476, 1001, 280, 269, 2311, 519, 1360, 4098, 540, 519, 8470, 649, 7150, 602, 267, 1851, 824, 1919, 267, 649, 1131, 711, 1491, 2055, 2394, 519, 6131, 1627, 26031, 5123, 693, 519, 8470, 779, 1439, 282, 543, 602, 649, 1131, 711, 581, 7234, 9258, 10168, 267, 799, 729, 711, 1483, 269, 634, 5304, 267, 799, 568, 7357, 3043, 607, 2484, 607, 594, 666, 2995, 267, 814, 711, 1044, 1390, 693, 1739, 891, 3652, 269, 1809, 1287, 606, 4587, 3043, 4807, 538, 519, 5304, 12651, 1200, 1688, 267, 543, 649, 1289, 593, 1200, 267, 543, 1352, 6941, 602, 950, 1352, 779, 693, 960, 267, 4563, 2367, 771, 27920, 1200, 1256, 1498, 1352, 779, 538, 7833, 607, 513, 3354, 9856, 269, 1656, 519, 3364, 1352, 2731, 6499, 547, 2769, 267, 1352, 6645, 721, 267, 568, 602, 1346, 4563, 2367, 968, 13873, 1406, 1480, 3034, 300, 22781, 12772, 519, 17200, 269, 968, 2171, 1810, 1406, 798, 602, 1934, 2223, 1352, 3081, 267, 1739, 4010, 519, 5650, 1352, 4330, 4505, 538, 519, 8470, 585, 9505, 1154, 1524, 26568, 2623, 269, 634, 4807, 538, 519, 5304, 8952, 3843, 547, 14443, 543, 1964, 622, 1200, 1448, 607, 631, 22781, 6941, 602, 27102, 4563, 1004, 779, 8103, 543, 1268, 3125, 1765, 13433, 267, 1256, 952, 789, 2461, 1611, 610, 16970, 547, 596, 1317, 540, 14882, 28934, 22457, 269, 4495, 1352, 13515, 609, 519, 11375, 3861, 3364, 267, 631, 22781, 12134, 519, 4807, 1018, 1200, 2243, 1256, 568, 827, 713, 1888, 269, 2701, 3081, 1352, 4769, 1406, 723, 835, 269, 2701, 1175, 4941, 547, 2161, 1200, 3364, 269, 6168, 4563, 2367, 779, 11375, 3861, 640, 269, 2311, 513, 8470, 13886, 968, 305, 659, 1143, 538, 26135, 717, 5446, 2223, 547, 513, 4563, 8470, 626, 267, 950, 1352, 729, 12799, 25009, 711, 547, 798, 865, 563, 22142, 2247, 2107, 14369, 1373, 1004, 610, 711, 269, 3657, 2349, 2931, 1004, 286, 901, 4807, 568, 856, 1934, 19101, 930, 540, 873, 5749, 1406, 563, 6546, 3884, 1406, 519, 2731, 2295, 12577, 3364, 267, 1498, 269, 634, 2731, 2295, 12577, 3364, 568, 519, 5662, 17489, 6643, 649, 723, 609, 1079, 3043, 27630, 17263, 6690, 945, 7390, 513, 5354, 7313, 290, 1153, 543, 1616, 547, 2911, 547, 721, 827, 519, 968, 2350, 1143, 892, 789, 1995, 1317, 789, 2461, 3043, 269, 1284, 2491, 547, 873, 602, 9811, 267, 789, 949, 1134, 1995, 7292, 14882, 607, 513, 4686, 3043, 12102, 267, 855, 602, 789, 991, 547, 1174, 602, 14882, 538, 519, 2796, 540, 3677, 6848, 3889, 799, 1671, 327, 9068, 1949, 540, 15746, 799, 21592, 873, 269, 1284, 2491, 519, 3017, 1063, 7292, 14882, 543, 11528, 10168, 269, 1809, 899, 519, 3354, 9856, 267, 899, 1034, 1004, 945, 723, 1185, 2123, 2833, 799, 5352, 22457, 8456, 267, 789, 723, 513, 2182, 942, 563, 30952, 267, 594, 2119, 547, 2995, 713, 1650, 547, 513, 3659, 538, 519, 30981, 269, 589, 24928, 14443, 338, 803, 607, 1352, 4991, 856, 281, 968, 11039, 267, 9258, 10168, 568, 1483, 269, 898, 5949, 547, 513, 3659, 540, 9553, 1848, 18641, 267, 607, 519, 30981, 9885, 2673, 267, 594, 5873, 2576, 10213, 1200, 267, 968, 6546, 779, 711, 10168, 267, 602, 779, 14882, 2560, 3034, 17606, 779, 3502, 1548, 898, 6733, 338, 6145, 7536, 2467, 779, 713, 2856, 649, 4076, 1044, 7234, 267, 602, 1114, 14797, 540, 1004, 723, 1114, 7915, 7907, 269, 2368, 14797, 616, 6793, 610, 811, 18942, 269, 2368, 616, 21273, 610, 811, 4190, 269, 2368, 616, 20244, 811, 20916, 4724, 1434, 282, 1866, 267, 4724, 9409, 269, 681, 2167, 685, 2067, 10305, 1118, 1978, 6197, 543, 4876, 5079, 9120, 585, 873, 267, 543, 1866, 616 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15507, 28088, 1280, 281, 27661, 306, 11548, 3212, 3899, 595, 2355, 32337, 3045, 10840, 454, 306, 11548, 3212, 3899, 2467, 616, 1896, 1114, 2249, 540, 595, 2355, 32337, 269, 634, 1455, 11503, 32337, 267, 595, 2355, 32337, 3045, 10840, 568, 5258, 883, 2516, 4470, 593, 519, 3337, 540, 519, 4829, 282, 22269, 18717, 267, 13409, 18717, 267, 2699, 13409, 18717, 267, 6653, 11350, 18717, 267, 543, 31625, 543, 524, 599, 26413, 18717, 269, 5871, 11503, 32337, 14723, 8677, 666, 581, 533, 2426, 550, 2483, 268, 4746, 2139, 538, 912, 268, 25385, 320, 10722, 565, 630, 525, 994, 17951, 1194, 700, 4428, 320, 700, 4428, 320, 1035, 583, 836, 3121, 454, 17951, 1194, 700, 4428, 320, 267, 681, 573, 3022, 10753, 1993, 1695, 267, 4457, 21411, 571, 299, 4428, 553, 616, 642, 1456, 5993, 2371, 602, 3132, 5613, 585, 1426, 543, 519, 561, 4428, 320, 26703, 269, 634, 1762, 5613, 540, 4911, 1194, 700, 4428, 320, 616, 17580, 6151, 610, 11273, 269, 4014, 1079, 2249, 3132, 513, 32248, 22403, 538, 519, 9921, 4829, 267, 3911, 26743, 700, 4428, 320, 630, 299, 4428, 320, 14928, 878, 320, 264, 568, 519, 9053, 2249, 585, 519, 561, 4428, 320, 26703, 269, 901, 2483, 297, 531, 1901, 25123, 3212, 3899, 595, 2355, 32337, 3045, 10840, 15254, 269, 3045, 10840, 1412, 297, 531, 1901, 25123, 7055, 297, 531, 1901, 25123, 3212, 3899, 267, 808, 531, 777, 523, 334, 8248, 13827, 616, 6592, 607, 16916, 538, 30643, 543, 12379, 334, 29958, 320, 1309, 269, 476, 1626, 628, 2540, 269, 18332, 19090, 6592, 519, 946, 540, 968, 320, 10448, 1572, 989, 328, 2560, 655, 23903, 547, 2285, 513, 8325, 6492, 547, 519, 3165, 543, 971, 5017, 607, 789, 666, 6952, 2507, 892, 630, 8619, 269, 14983, 275, 1040, 808, 531, 1901, 25123, 568, 513, 5420, 3620, 582, 14723, 23608, 538, 519, 3148, 540, 2483, 10712, 26743, 700, 4428, 320, 700, 4428, 320, 14928, 878, 320, 454, 10712, 26743, 700, 4428, 320, 267, 1975, 21789, 717, 712, 323, 267, 667, 880, 743, 1054, 717, 712, 323, 267, 966, 710, 21411, 571, 299, 4428, 553, 616, 642, 1456, 5993, 2371, 602, 3132, 5613, 585, 1426, 543, 519, 561, 4428, 320, 26703, 269, 634, 5613, 540, 3911, 26743, 700, 4428, 320, 616, 9053, 585, 561, 4428, 320, 29008, 525, 269, 4911, 1194, 561, 4428, 320, 267, 595, 269, 1035, 583, 836, 3121, 267, 568, 519, 9053, 2249, 585, 17580, 4829, 563, 31640, 17312, 3212, 3899, 595, 2355, 32337, 9992, 2373, 322, 839, 454, 307, 984, 553, 1723, 3212, 3899, 267, 16819, 3212, 3899, 290, 2355, 32337, 9992, 2373, 322, 839, 18717, 616, 1454, 811, 533, 2426, 550, 982, 519, 595, 269, 3045, 10840, 2249, 543, 3132, 5613, 602, 616, 16245, 543, 2356, 2408, 1175, 1657, 519, 16714, 269, 3212, 13827, 1331, 9184, 553, 1723, 267, 6177, 18717, 267, 543, 824, 31625, 18717, 269, 7352, 7724, 540, 713, 2249, 723, 849, 1044, 5697, 585, 741, 25798, 2483, 295, 629, 534, 3266, 3212, 3899, 595, 2355, 32337, 24060, 1619, 454, 295, 629, 534, 3266, 3212, 3899, 267, 12844, 6339, 3212, 3899, 267, 13096, 559, 3212, 3899, 267, 8293, 1662, 3212, 3899, 290, 2355, 32337, 24060, 1619, 610, 13755, 6339, 18717, 616, 3335, 1360, 3905, 1519, 519, 29224, 18717, 538, 519, 1158, 2687, 547, 519, 2480, 990, 4068, 4336, 269, 1452, 1331, 519, 3110, 534, 3266, 267, 15293, 18717, 267, 543, 13755, 6339, 18717, 269, 661, 29558, 849, 814, 513, 2189, 968, 306, 11548, 892, 13206, 534, 3266, 602, 7472, 18717, 602, 616, 711, 3905, 267, 4352, 1862, 0, 2171, 782, 917, 1373, 14968, 568, 3983, 585, 1072, 269, 1809, 875, 4010, 1281, 621, 1860, 707, 1072, 286, 3220, 31436, 10557, 15622, 267, 13693, 656, 267, 4972, 540, 7731, 6925, 543, 8033, 5224, 5516, 267, 14135, 4937, 11233, 630, 306, 21203, 1070, 4267, 563, 288, 1268, 568, 2808, 14968, 950, 646, 610, 1352, 814, 513, 22765, 3562, 268, 1222, 5223, 540, 811, 982, 476, 271, 269, 3199, 585, 2021, 543, 476, 271, 269, 5952, 585, 2367, 269, 1809, 811, 982, 1175, 827, 2348, 547, 5957, 3677, 13355, 9660, 267, 1373, 14968, 6920, 519, 4527, 540, 7050, 3170, 1472, 519, 22765, 610, 17987, 3170, 1107, 799, 568, 2404, 609, 1585, 1072, 2175, 267, 1519, 1164, 1973, 2604, 267, 9402, 8501, 543, 27831, 728, 2157, 267, 543, 7378, 4187, 563, 15447, 333, 607, 10894, 6794, 267, 1373, 14968, 568, 2404, 609, 519, 1646, 540, 9025, 2068, 543, 1826, 476, 273, 3987, 267, 1767, 454, 7804, 31436, 10557, 15622, 267, 13693, 656, 2676, 23430, 540, 7731, 6925, 543, 8033, 5224, 5516, 2676, 306, 532, 12940, 4937, 11233, 630, 306, 21203, 1070, 513, 4759, 540, 519, 454, 9515, 2798, 547, 835, 2462, 27521, 281, 519, 2413, 2732, 563, 10527, 2413, 2732, 568, 10416, 1426, 602, 568, 13881, 3728, 543, 2007, 6479, 3728, 1317, 789, 723, 2370, 610, 1100, 20249, 269, 5253, 899, 3043, 7573, 267, 3043, 3694, 543, 30653, 2014, 4006, 1147, 2471, 267, 936, 11529, 519, 18558, 547, 3132, 7378, 547, 4894, 519, 4006, 689, 519, 1973, 269, 1684, 713, 1419, 2614, 543, 707, 18558, 786, 1376, 17528, 2223, 3220, 31436, 1767, 563, 1692, 1373, 14968, 5540, 519, 18558, 454, 11900, 6081, 267, 513, 9449, 1500, 676, 519, 18558, 267, 6770, 4006, 883, 1560, 2281, 547, 581, 1031, 607, 1648, 267, 543, 2337, 4558, 4430, 4006, 538, 519, 8031, 543, 6797, 585, 946, 2663, 563, 1103, 1004, 945, 616, 14968, 267, 519, 18558, 814, 547, 960, 9875, 547, 3132, 811, 7378, 982, 1018, 568, 7363, 2877, 1317, 741, 4703, 3112, 968, 338, 1619, 519, 7378, 892, 5265, 269, 901, 2566, 593, 519, 18558, 3123, 25524, 1591, 9854, 543, 3441, 267, 2810, 519, 4960, 540, 3384, 1826, 476, 273, 3987, 563, 10527, 7620, 1164, 7378, 1377, 538, 2576, 609, 7378, 4187, 6786, 547, 519, 2634, 602, 646, 568, 1869, 17237, 267, 1498, 646, 1522, 723, 1175, 10057, 513, 2462, 2179, 540, 15568, 19346, 2223, 1767, 3220, 31436, 269, 1879, 602, 4523, 267, 519, 1268, 7959, 10419, 1302, 17237, 543, 5170, 547, 3548, 269, 28246, 4189, 1107, 4611, 538, 606, 2799, 4006, 4452, 10024, 519, 1973, 6908, 1107, 12987, 811, 7378, 547, 581, 3812, 547, 3339, 1047, 519, 1560, 779, 4006, 3666, 563, 1607, 10419, 340, 919, 519, 30380, 4783, 540, 811, 4189, 267, 811, 7378, 1373, 3812, 267, 4430, 4006, 1373, 6740, 607, 3170, 267, 4797, 9854, 543, 14000, 267, 543, 1256, 811, 4189, 269, 634, 18558, 2833, 2566, 267, 1287, 9854, 267, 543, 6368, 3441, 563, 2108, 2791, 616, 11318, 707, 7378, 12051, 2223, 1767, 3220, 31436, 267, 15738, 856, 602, 950, 476, 3199, 829, 1298, 540, 519, 18558, 568, 10032, 267, 519, 1560, 779, 4006, 2157, 979, 856, 540, 1852, 269, 968, 6546, 779, 519, 1554, 3987, 786, 581, 8995, 3034, 1692, 1373, 14968, 5540, 519, 6797, 454, 1103, 1840, 267, 4430, 4006, 7140, 883, 3170, 267, 799, 568, 20024, 538, 543, 1472, 8219, 899, 519, 6797, 269, 968, 293, 520, 538, 891, 2127, 3085, 1406, 1175, 1694, 972, 543, 798, 4986, 269, 898, 3123, 6553, 267, 543, 713, 12777, 5012, 547, 2281, 1402, 4771, 543, 12955, 2223, 1352, 1767, 563, 1103, 25691, 540, 519, 6797, 689, 3170, 267, 666, 1291, 547, 1085, 18732, 267, 799, 4679, 519, 1981, 540, 3384, 6797, 2860, 269, 6431, 11962, 543, 12675, 1085, 18732, 540, 519, 6797, 666, 1291, 5555, 547, 6797, 4963, 9071, 2670, 543, 2860, 563, 1692, 547, 6336, 2597, 9108, 543, 3927, 454, 763, 540, 339, 3146, 701, 730, 16051, 571, 547, 3635, 5781, 543, 1246, 513, 2635, 2732, 568, 1869, 519, 1034, 2500, 1900, 2509, 9561, 2597, 269, 6519, 7573, 267, 15568, 19346, 267, 4006, 11656, 1426, 543, 16098, 616, 1100, 5991, 334, 779, 269, 5502, 267, 4452, 909, 593, 1426, 602, 2007, 3949, 543, 7140, 547, 4006, 7444, 267, 971, 607, 2898, 4829, 543, 5388, 1107, 711, 519, 10433, 1107, 2898, 6588, 1231, 899, 6960, 7573, 543, 28113, 267, 543, 2898, 22596, 2472, 563, 2108, 17315, 6005, 568, 711, 5227, 269, 22500, 10433, 267, 609, 610, 1510, 4006, 3773, 267, 568, 5631, 4829, 4006, 1216, 1510, 20249, 269, 4634, 20762, 4829, 10433, 814, 922, 20249, 13148, 7745, 1524, 267, 543, 786, 581, 2007, 6479, 811, 6385, 543, 2014, 2362, 4006, 1147, 2471, 982, 1483, 4829, 2223, 1767, 3220, 31436, 827, 519, 1455, 31605, 602, 4829, 10433, 568, 2635, 563, 15933, 26437, 609, 20249, 3340, 24146, 543, 21400, 267, 799, 25815, 1524, 519, 4189, 1184, 267, 543, 3340, 12536, 543, 865, 13978, 538, 519, 7181, 3476, 563, 17606, 2306, 596, 1745, 2407, 3476, 267, 865, 596, 3548, 1447, 269, 634, 4006, 3085, 1406, 4283, 519, 1973, 6908, 607, 513, 4006, 10006, 267, 799, 17613, 519, 18558, 547, 3132, 1164, 2157, 540, 7378, 269, 1280, 519, 3328, 11112, 14135, 534, 267, 513, 1434, 1376, 568, 547, 10300, 557, 707, 7573, 267, 3694, 610, 30653, 267, 5595, 707, 5388, 267, 543, 3802, 1490, 7416, 569, 693, 2547, 1614, 2053, 513, 3018, 2223, 3220, 31436, 1443, 2478, 269, 0, 306, 19414, 7412, 32691, 31538, 454, 14937, 28886, 11448, 561, 3166, 538, 519, 4496, 7990, 609, 513, 15144, 6352, 533, 20234, 558, 630, 303, 19895, 3559, 1916, 306, 1245, 4536, 849, 1185, 513, 674, 15505, 332, 583, 2763, 630, 325, 520, 8982, 1698, 264, 2147, 547, 1346, 1031, 607, 538, 2398, 11701, 7952, 630, 10440, 20698, 1069, 583, 2763, 610, 5576, 331, 3530, 332, 583, 2763, 1916, 10870, 520, 267, 20613, 626, 1723, 520, 267, 645, 872, 2583, 454, 4462, 6134, 15538, 540, 519, 865, 10777, 24162, 8053, 584, 630, 19136, 31538, 264, 543, 21890, 514, 8053, 584, 630, 22102, 31538, 1916, 763, 8405, 729, 6870, 676, 513, 8405, 6006, 630, 295, 531, 560, 1276, 264, 1500, 540, 3109, 610, 2699, 1212, 701, 270, 564, 3133, 543, 32028, 16298, 543, 3728, 2989, 609, 513, 21567, 31617, 630, 4186, 337, 3320, 547, 519, 2398, 11701, 7952, 267, 1141, 1152, 12673, 941, 1031, 1916, 763, 24162, 8053, 584, 15538, 540, 10359, 630, 305, 1442, 1070, 585, 930, 1036, 9323, 519, 10359, 1185, 22272, 1564, 630, 298, 331, 1952, 523, 1315, 15887, 520, 1084, 1070, 855, 782, 1185, 524, 32332, 630, 288, 340, 12028, 577, 331, 10402, 264, 543, 27897, 630, 298, 571, 2102, 264, 538, 519, 10058, 7990, 540, 519, 31458, 269, 3213, 1846, 941, 1500, 540, 15144, 6352, 3043, 12308, 543, 20898, 609, 15922, 630, 342, 944, 6352, 12308, 264, 538, 519, 10058, 7990, 540, 31458, 269, 590, 23932, 1407, 1185, 513, 32028, 16298, 269, 5565, 7306, 540, 16181, 941, 1031, 593, 519, 10359, 563, 310, 320, 626, 1723, 1846, 630, 26156, 324, 264, 941, 1500, 540, 15144, 6352, 12308, 538, 519, 10058, 7990, 540, 519, 31458, 267, 789, 941, 20898, 609, 32028, 630, 1440, 643, 919, 264, 610, 15922, 630, 1721, 715, 4596, 338, 1040, 4438, 5162, 267, 19492, 1407, 609, 16298, 941, 7923, 547, 519, 22765, 1723, 1846, 563, 1103, 12096, 267, 15604, 543, 11354, 267, 7980, 20595, 15144, 6352, 12308, 23222, 2583, 630, 295, 846, 1070, 1034, 4440, 20898, 609, 32028, 630, 553, 538, 519, 14470, 8136, 1916, 763, 24162, 8053, 584, 729, 17105, 1142, 1079, 1296, 630, 27271, 3476, 1916, 298, 548, 514, 8053, 584, 15538, 6140, 540, 1507, 12308, 630, 6826, 1731, 548, 3187, 2426, 1070, 811, 10502, 912, 268, 695, 16630, 630, 295, 655, 323, 264, 13859, 693, 513, 2557, 540, 1079, 610, 1614, 829, 1032, 267, 4470, 593, 519, 8741, 1431, 540, 519, 12751, 540, 519, 31458, 3248, 268, 3368, 3333, 16630, 13859, 693, 513, 2557, 540, 835, 829, 1032, 610, 829, 1079, 1296, 3248, 268, 32028, 23222, 2583, 630, 31690, 523, 670, 846, 264, 13859, 693, 513, 2557, 540, 835, 6292, 829, 1032, 3248, 268, 10887, 13859, 693, 513, 2557, 540, 1614, 8424, 829, 1079, 1296, 267, 3006, 609, 3063, 1151, 525, 3248, 268, 3109, 15144, 6352, 6512, 585, 519, 6477, 18571, 630, 295, 320, 541, 345, 641, 325, 264, 519, 3259, 540, 519, 6512, 13859, 9867, 630, 27271, 2898, 6477, 339, 5661, 1500, 540, 16463, 610, 23741, 941, 13859, 11850, 268, 32376, 619, 630, 294, 600, 2444, 1156, 264, 1500, 540, 32028, 610, 1000, 650, 267, 835, 6292, 540, 3043, 32376, 619, 585, 4832, 543, 1612, 3547, 267, 543, 835, 6292, 540, 3109, 32376, 619, 585, 3983, 4365, 3248, 268, 3728, 2989, 609, 513, 16463, 588, 1905, 630, 298, 333, 1512, 328, 18779, 610, 12928, 20672, 6686, 4135, 601, 994, 268, 835, 1305, 540, 21567, 630, 528, 17646, 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 ]
[ 280, 269, 6246, 2807, 273, 1862, 276, 907, 277, 1862, 7055, 825, 1948, 4511, 5334, 644, 18602, 14682, 5090, 815, 1412, 279, 5541, 907, 3607, 27401, 278, 907, 280, 269, 273, 1862, 276, 1862, 278, 2807, 1862, 3393, 278, 32465, 272, 1862, 274, 1862, 272, 2807, 6924, 907, 5952, 1862, 272, 907, 280, 2807, 275, 907, 7055, 825, 1948, 4511, 5334, 644, 18602, 14682, 5090, 815, 1412, 272, 2807, 278, 269, 280, 907, 274, 907, 273, 1862, 279, 907, 9834, 907, 276, 2807, 7871, 907, 280, 1862, 272, 907, 279, 1862, 2918, 2807, 275, 1862, 274, 27401, 272, 907, 275, 27401, 278, 907, 278, 1862, 274, 907, 7055, 825, 1948, 4511, 5334, 644, 18602, 14682, 5090, 815, 1412, 1862, 278, 269, 280, 2807, 5952, 1862, 4029, 269, 273, 27401, 278, 5541, 1862, 272, 907, 278, 269, 277, 27401, 279, 1862, 278, 269, 278, 27401, 1862, 274, 27401, 5952, 2807, 1862, 28847, 825, 1948, 5192, 519, 3070, 454, 825, 4159, 4433, 9876, 5560, 328, 698, 5334, 644, 18602, 14682, 5090, 4917, 825, 5727, 681, 29025, 543, 1732, 5470, 8989, 454, 825, 1267, 815, 4194, 5560, 328, 698, 5334, 644, 18602, 14682, 5090, 994, 825, 952, 1267, 11203, 8771, 912, 1038, 1820, 3488, 305, 29025, 281, 22207, 942, 28333, 3890, 910, 1376, 22710, 267, 1412, 315, 333, 5073, 1038, 4159, 31114, 994, 825, 3116, 912, 1038, 1820, 3488, 293, 9229, 547, 1265, 513, 3070, 269, 5073, 1038, 29185, 825, 2119, 912, 1038, 689, 14650, 1104, 14650, 318, 817, 793, 906, 454, 1038, 14650, 318, 817, 793, 906, 263, 817, 793, 906, 2020, 825, 4849, 3590, 2750, 527, 912, 1038, 1780, 454, 825, 4849, 912, 1038, 1820, 3488, 2171, 1223, 711, 14650, 707, 4604, 1813, 547, 513, 27368, 3390, 269, 3502, 513, 1966, 256, 898, 568, 711, 513, 10421, 269, 5073, 0, 258, 2843, 501, 3522, 10528, 4814, 25974, 27188, 10780, 17201, 9841, 13194, 13833, 3522, 16021, 31124, 11714, 16417, 9261, 23845, 11714, 11012, 3264, 7549, 7846, 4709, 28027, 17153, 15800, 11714, 9924, 8563, 19757, 11714, 16417, 9261, 23845, 11714, 16044, 482, 18775, 9261, 3522, 16021, 24893, 10948, 281, 9261, 9261, 281, 4736, 4736, 692, 5503, 318, 520, 318, 852, 815, 703, 9272, 3488, 29551, 8563, 29391, 4138, 16021, 11714, 16417, 9261, 9326, 11714, 11012, 3264, 7549, 7846, 4709, 28027, 17153, 281, 1412, 11723, 604, 942, 318, 520, 318, 852, 2999, 476, 279, 5038, 876, 912, 825, 942, 18425, 20189, 2293, 815, 942, 318, 520, 318, 852, 12262, 476, 11740, 271, 454, 825, 942, 18425, 28804, 2373, 815, 630, 5503, 318, 520, 318, 852, 910, 942, 18425, 20189, 2293, 2608, 476, 11740, 271, 264, 12262, 476, 2568, 454, 825, 942, 18425, 26000, 6948, 815, 942, 318, 520, 318, 852, 910, 630, 5503, 18425, 20189, 2293, 2608, 476, 11740, 271, 1341, 942, 18425, 28804, 2373, 2608, 476, 2568, 994, 825, 1820, 6600, 257, 29551, 8563, 29391, 12811, 21170, 3264, 11714, 16417, 9261, 9326, 11714, 24893, 10948, 281, 9261, 9261, 281, 4736, 4736, 910, 2715, 5503, 18425, 20189, 2293, 348, 281, 346, 5503, 18425, 28804, 2373, 348, 281, 346, 5503, 18425, 26000, 6948, 348, 5602, 12828, 912, 825, 942, 18425, 5091, 904, 815, 630, 5503, 318, 520, 318, 852, 12262, 476, 279, 5038, 876, 264, 4939, 476, 1789, 454, 825, 942, 18425, 20189, 2293, 815, 630, 5503, 318, 520, 318, 852, 12262, 476, 11740, 271, 264, 4939, 476, 2190, 454, 825, 942, 18425, 28804, 2373, 815, 630, 5503, 318, 520, 318, 852, 910, 942, 18425, 20189, 2293, 2608, 476, 11740, 271, 264, 4939, 476, 2568, 454, 825, 942, 18425, 26000, 6948, 815, 630, 5503, 318, 520, 318, 852, 910, 630, 5503, 18425, 20189, 2293, 2608, 476, 11740, 271, 1341, 942, 18425, 28804, 2373, 2608, 476, 2568, 4297, 4939, 476, 279, 5038, 876, 454, 825, 1820, 6600, 257, 29551, 8563, 29391, 12811, 21170, 3264, 11714, 16417, 9261, 9326, 11714, 18194, 9686, 281, 10948, 10948, 281, 9261, 9261, 281, 4736, 4736, 2715, 5503, 18425, 5091, 904, 348, 281, 346, 5503, 18425, 20189, 2293, 348, 281, 346, 5503, 18425, 28804, 2373, 348, 281, 346, 5503, 18425, 26000, 6948, 348, 15419, 0, 258, 901, 568, 519, 1292, 3758, 269, 3281, 850, 713, 3758, 547, 1205, 782, 519, 2164, 543, 5515, 454, 258, 2877, 585, 519, 1867, 3651, 324, 618, 563, 258, 634, 3009, 568, 22555, 538, 9674, 3252, 602, 2132, 1114, 5515, 454, 258, 901, 3009, 814, 1044, 2919, 547, 11753, 519, 5276, 740, 557, 794, 3830, 2676, 258, 609, 13350, 10465, 2175, 267, 1210, 1114, 10230, 14565, 563, 258, 13038, 2934, 267, 971, 607, 6617, 267, 5726, 540, 8090, 543, 2698, 454, 258, 8390, 786, 581, 11567, 563, 258, 901, 7097, 786, 1711, 513, 15682, 3957, 22955, 538, 519, 1699, 15682, 454, 258, 547, 4688, 519, 5515, 538, 780, 258, 17387, 532, 13838, 454, 5228, 6617, 1104, 27661, 5228, 8090, 1104, 27661, 5228, 6111, 1104, 27661, 5814, 15259, 692, 258, 9502, 540, 519, 1292, 1599, 267, 602, 7125, 1614, 3252, 8659, 538, 519, 454, 258, 16865, 13838, 563, 3698, 1292, 10031, 825, 834, 1607, 1599, 5932, 513, 15682, 22955, 543, 7125, 782, 519, 3252, 4840, 825, 834, 7528, 1600, 547, 1205, 519, 2164, 585, 519, 1867, 4840, 825, 546, 597, 11243, 815, 834, 8993, 999, 4840, 825, 1948, 6744, 952, 519, 15682, 2907, 6818, 563, 825, 2119, 912, 1038, 15259, 6230, 330, 323, 597, 5560, 597, 11243, 994, 1038, 1820, 2891, 17445, 800, 2580, 546, 597, 11243, 267, 834, 920, 730, 26142, 333, 5602, 825, 4849, 11711, 2750, 1235, 13286, 912, 1038, 1820, 2891, 17445, 800, 2580, 546, 597, 11243, 267, 834, 531, 2819, 6818, 26142, 333, 26170, 2469, 593, 609, 11056, 26142, 333, 15419, 825, 1820, 2891, 19530, 532, 5515, 7282, 6024, 3355, 2783, 269, 1422, 333, 5602, 825, 1205, 14067, 1464, 6958, 2682, 10797, 825, 1820, 2891, 19530, 532, 5515, 7282, 19944, 6681, 3355, 2783, 269, 1422, 333, 5602, 825, 1205, 8548, 558, 757, 6958, 2682, 10797, 825, 1820, 2891, 300, 8221, 593, 547, 6111, 4255, 269, 1422, 333, 5602, 825, 1205, 318, 3147, 5596, 6958, 2682, 30800, 257, 290, 16226, 519, 1292, 1599, 4840, 10852, 4590, 0, 692, 258, 608, 277, 21211, 31033, 4970, 366, 4970, 492, 24757, 10951, 361, 692, 258, 2010, 15058, 318, 15161, 815, 476, 1015, 454, 258, 1535, 815, 535, 257, 2467, 27442, 2715, 18196, 15058, 318, 15161, 348, 2010, 540, 1004, 4840, 16482, 258, 9352, 815, 834, 321, 2435, 4840, 258, 798, 318, 2254, 815, 834, 18484, 1405, 4840, 258, 586, 815, 535, 257, 17829, 945, 917, 2715, 321, 2435, 348, 543, 1346, 945, 2715, 4777, 318, 2254, 348, 4840, 16482, 258, 1820, 3287, 994, 258, 1820, 12169, 994, 16482, 258, 1820, 6600, 19285, 1767, 281, 346, 343, 348, 5602, 258, 1820, 6600, 19285, 849, 1767, 281, 262, 346, 344, 348, 262, 5602, 16482, 258, 554, 559, 13895, 815, 834, 16178, 4840, 258, 24983, 21223, 1998, 16615, 815, 834, 3674, 333, 1405, 602, 24983, 865, 16168, 26834, 15079, 4840, 16482, 258, 1820, 27203, 5803, 21223, 1998, 16615, 269, 8971, 22607, 559, 13895, 4297, 258, 3898, 421, 497, 378, 26406, 354, 21211, 31033, 4970, 366, 454, 16482, 258, 530, 815, 834, 1607, 568, 519, 2451, 2427, 540, 907, 4799, 258, 552, 815, 834, 320, 5569, 609, 513, 1318, 2427, 4799, 16482, 258, 1820, 26028, 1341, 552, 2020, 258, 608, 278, 17276, 505, 368, 14035, 504, 19867, 497, 22287, 364, 692, 258, 1820, 2891, 27746, 1185, 513, 2370, 23758, 5602, 258, 1820, 2891, 21132, 25176, 576, 729, 1247, 607, 15079, 1701, 269, 8971, 3488, 338, 852, 262, 4297, 476, 1948, 476, 21211, 31033, 4970, 366, 418, 489, 376, 26406, 354, 454, 258, 1820, 2891, 4517, 10876, 602, 6307, 4682, 5602, 258, 1820, 2891, 1701, 2608, 476, 1015, 264, 476, 1948, 1548, 9364, 602, 798, 7790, 476, 476, 23989, 419, 353, 374, 19867, 497, 22287, 364, 22287, 479, 14748, 30536, 454, 16482, 258, 1439, 272, 815, 834, 290, 4840, 258, 1439, 273, 815, 834, 327, 4840, 258, 1439, 274, 815, 834, 324, 4840, 258, 1439, 275, 815, 834, 324, 4840, 258, 1439, 276, 815, 834, 338, 4840, 258, 1439, 277, 815, 834, 324, 4840, 258, 1439, 278, 815, 834, 289, 4840, 258, 1439, 279, 815, 834, 340, 4840, 258, 1439, 280, 815, 834, 337, 4840, 258, 1439, 1015, 815, 834, 326, 4840, 258, 1439, 1556, 815, 834, 324, 4840, 258, 1439, 1321, 815, 834, 337, 4840, 16482, 258, 1948, 4585, 602, 26893, 693, 519, 1439, 269, 2119, 9427, 621, 547, 1294, 1018, 4523, 454, 258, 1820, 263, 754, 272, 1341, 1439, 273, 1341, 1439, 274, 1341, 1439, 275, 1341, 1439, 276, 1341, 1439, 277, 267, 1439, 8782, 1412, 264, 476, 1948, 21550, 485, 13107, 492, 14756, 497, 16533, 378, 21251, 23284, 18713, 508, 420, 377, 355, 14756, 497, 23521, 509, 8147, 23284, 419, 358, 374, 21550, 376, 14756, 497, 23521, 509, 454, 258, 1820, 263, 754, 278, 1341, 1439, 279, 1341, 1439, 280, 1341, 1439, 1015, 1341, 1439, 1556, 1341, 1439, 1321, 264, 476, 1948, 289, 584, 3455, 418, 489, 376, 26406, 354, 692, 258, 608, 279, 17276, 487, 497, 22287, 364, 8147, 19867, 497, 22287, 364, 692, 258, 1106, 2660, 815, 834, 24001, 15079, 15079, 15079, 4840, 16482, 258, 1820, 263, 845, 2660, 269, 8971, 263, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 4917, 258, 1820, 263, 845, 2660, 269, 8971, 2891, 821, 2580, 834, 18314, 2580, 834, 22764, 2580, 834, 27917, 27363, 258, 1820, 263, 845, 2660, 269, 8971, 263, 12148, 267, 8771, 267, 8771, 267, 6936, 4917, 258, 1820, 263, 845, 2660, 269, 8971, 263, 845, 2660, 267, 1106, 2660, 267, 1106, 2660, 267, 1106, 2660, 4917, 258, 1820, 263, 845, 2660, 269, 8971, 18692, 258, 672, 834, 2521, 707, 20350, 258, 672, 834, 302, 1233, 1257, 1934, 20350, 258, 672, 834, 28646, 513, 6648, 20350, 258, 672, 834, 7775, 513, 5152, 827, 4250, 4840, 258, 3738, 994, 16482, 258, 1948, 476, 18263, 510, 30903, 502, 454, 258, 1820, 263, 845, 2660, 9239, 258, 608, 280, 17276, 487, 497, 22287, 364, 8147, 19867, 497, 22287, 364, 8147, 19867, 497, 22287, 364, 692, 258, 2395, 815, 834, 12507, 570, 826, 11205, 774, 340, 29443, 9045, 6129, 4840, 258, 3275, 815, 834, 13202, 14826, 15037, 14826, 11321, 14826, 14257, 14826, 9802, 14826, 21801, 14826, 19878, 14826, 13971, 4840, 16482, 258, 1820, 2891, 2080, 616, 519, 2395, 281, 14307, 2395, 994, 258, 1820, 2891, 2080, 616, 519, 3275, 281, 14307, 3275, 994, 16482, 258, 1820, 2891, 3269, 454, 258, 1703, 781, 1945, 2469, 593, 1934, 563, 258, 2060, 519, 1614, 5595, 6709, 4925, 563, 258, 1284, 3513, 581, 2111, 547, 1826, 607, 1454, 607, 649, 899, 563, 258, 4634, 476, 275, 3515, 952, 649, 1616, 267, 610, 476, 276, 267, 610, 476, 277, 563, 258, 5727, 2020, 0, 258, 2093, 281, 5897, 5814, 4351, 476, 1948, 1104, 9074, 4351, 5897, 3240, 10831, 815, 4351, 27110, 263, 271, 267, 476, 1911, 264, 476, 1948, 5581, 513, 4351, 1297, 547, 7058, 1477, 18528, 22187, 815, 1193, 9272, 2891, 16521, 7411, 24097, 333, 29146, 26773, 14826, 29146, 8469, 1756, 14826, 29146, 292, 6470, 14826, 257, 4297, 476, 1948, 5581, 7411, 543, 12161, 781, 1293, 1477, 604, 7411, 2652, 834, 26773, 257, 6769, 825, 7411, 815, 476, 274, 1477, 19197, 7411, 2652, 834, 8469, 1756, 257, 6769, 825, 7411, 815, 476, 273, 1477, 19197, 7411, 2652, 834, 292, 6470, 257, 6769, 825, 7411, 815, 476, 272, 1477, 332, 626, 820, 15575, 815, 476, 271, 1477, 604, 7411, 2652, 476, 274, 6769, 825, 12161, 15575, 815, 476, 274, 1477, 19197, 7411, 2652, 476, 273, 6769, 825, 12161, 15575, 815, 476, 277, 1477, 19197, 7411, 2652, 476, 272, 6769, 825, 12161, 15575, 815, 476, 1015, 1477, 333, 815, 476, 271, 476, 1948, 4756, 547, 5581, 3105, 7411, 267, 952, 3593, 786, 711, 1689, 513, 7411, 1477, 12528, 2419, 4069, 815, 703, 9272, 2891, 2521, 547, 7058, 1250, 1297, 24097, 333, 257, 4297, 476, 1948, 5581, 513, 3593, 3801, 1477, 2452, 26139, 815, 476, 272, 1477, 6112, 630, 2452, 26139, 2652, 476, 272, 264, 543, 630, 332, 626, 820, 15575, 3436, 476, 271, 2567, 476, 1948, 4783, 547, 948, 3593, 1477, 825, 952, 3593, 2419, 4069, 2999, 1250, 10831, 6769, 1038, 1820, 2891, 7069, 1297, 568, 811, 267, 2119, 1586, 8442, 476, 1948, 2119, 547, 948, 3593, 543, 7670, 1679, 4756, 547, 3136, 4783, 1477, 1038, 3593, 2419, 4069, 815, 630, 842, 9272, 3890, 17903, 1038, 12161, 15575, 20699, 476, 272, 476, 1948, 2569, 713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3455, 815, 834, 29177, 1038, 1582, 26769, 14808, 17572, 11243, 815, 8848, 17572, 11243, 1477, 1038, 1582, 26769, 14808, 17572, 26073, 815, 8848, 17572, 26073, 1477, 1038, 1582, 12459, 5459, 291, 5315, 815, 15079, 1477, 1363, 1477, 1038, 1948, 17280, 547, 4688, 12122, 6724, 21506, 1038, 1582, 28802, 3455, 25583, 815, 19883, 6185, 292, 289, 308, 294, 1477, 1038, 1582, 6745, 31983, 306, 13996, 13640, 4461, 815, 15079, 1948, 834, 5417, 816, 257, 543, 834, 1636, 29177, 1038, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 815, 15079, 1948, 834, 5417, 816, 2580, 834, 1636, 257, 543, 834, 339, 8084, 257, 5897, 1038, 2119, 6769, 2018, 2619, 815, 1582, 26769, 14808, 17572, 26073, 1341, 1582, 26769, 14808, 17572, 11243, 1477, 2018, 609, 1930, 263, 2619, 3738, 607, 795, 5459, 17572, 2433, 1477, 3546, 1582, 12459, 5459, 291, 5315, 815, 795, 5459, 269, 2903, 263, 795, 5459, 17572, 476, 3418, 1038, 4849, 11711, 8253, 28062, 13286, 607, 9868, 6769, 2018, 952, 1582, 28802, 3455, 2433, 1477, 3546, 1582, 28802, 3455, 269, 19587, 263, 9868, 476, 3418, 2018, 3116, 2433, 1477, 3546, 1820, 263, 9868, 476, 10142, 1038, 6724, 815, 1582, 12459, 5459, 291, 5315, 10947, 263, 834, 12407, 4394, 2580, 834, 257, 476, 3418, 1038, 952, 6724, 11203, 834, 257, 2433, 1477, 2018, 2845, 3455, 25583, 815, 6724, 10947, 263, 834, 8421, 3455, 25583, 2580, 834, 257, 476, 3418, 2018, 952, 2845, 3455, 25583, 11203, 834, 257, 2433, 1477, 3546, 952, 2845, 3455, 25583, 2652, 834, 2562, 23859, 257, 2433, 1477, 7386, 1582, 28802, 3455, 25583, 815, 19883, 269, 2562, 23859, 1477, 3546, 952, 2845, 3455, 25583, 2652, 834, 310, 27073, 257, 2433, 1477, 7386, 1582, 28802, 3455, 25583, 815, 19883, 15030, 27073, 1477, 3546, 952, 2845, 3455, 25583, 2652, 834, 14701, 289, 308, 294, 257, 2433, 1477, 7386, 1582, 28802, 3455, 25583, 815, 19883, 6185, 292, 289, 308, 294, 1477, 3546, 952, 2845, 3455, 25583, 2652, 834, 2207, 305, 3036, 257, 2433, 1477, 7386, 1582, 28802, 3455, 25583, 815, 19883, 269, 2207, 305, 3036, 1477, 3546, 1250, 19868, 3455, 815, 3733, 19868, 3455, 14052, 3546, 1250, 19868, 3455, 15630, 19868, 25583, 263, 1582, 28802, 3455, 25583, 3418, 3546, 1582, 28802, 3455, 815, 1250, 19868, 3455, 10947, 19868, 3455, 263, 6449, 4067, 1029, 476, 3418, 3546, 1582, 28802, 3455, 19709, 30132, 263, 834, 8421, 25583, 281, 4939, 338, 2580, 1193, 263, 1582, 28802, 3455, 25583, 3738, 476, 3418, 2018, 512, 31983, 306, 13996, 815, 6724, 10947, 263, 834, 339, 31983, 306, 13996, 2580, 834, 257, 476, 3418, 2018, 952, 512, 31983, 306, 13996, 11203, 834, 257, 2433, 1477, 3546, 1582, 6745, 31983, 306, 13996, 13640, 4461, 314, 834, 5417, 816, 257, 9948, 815, 512, 31983, 306, 13996, 10947, 263, 834, 5417, 816, 2580, 834, 257, 476, 3418, 3546, 1582, 6745, 31983, 306, 13996, 13640, 4461, 314, 834, 1636, 257, 9948, 815, 512, 31983, 306, 13996, 10947, 263, 834, 1636, 2580, 834, 257, 476, 3418, 3546, 1582, 28802, 3455, 19709, 30132, 263, 834, 307, 9573, 7746, 2232, 281, 4939, 338, 267, 2823, 281, 4939, 338, 2580, 1477, 7386, 1193, 263, 1582, 6745, 31983, 306, 13996, 13640, 4461, 314, 834, 5417, 816, 257, 9948, 16532, 1477, 7386, 1193, 263, 1582, 6745, 31983, 306, 13996, 13640, 4461, 314, 834, 1636, 257, 9948, 3738, 476, 3418, 2018, 737, 2378, 6390, 306, 13996, 815, 6724, 10947, 263, 834, 330, 2378, 6390, 306, 13996, 2580, 834, 257, 476, 3418, 2018, 952, 737, 2378, 6390, 306, 13996, 11203, 834, 257, 2433, 1477, 3546, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 5417, 816, 257, 9948, 815, 737, 2378, 6390, 306, 13996, 10947, 263, 834, 5417, 816, 2580, 834, 257, 476, 3418, 3546, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 1636, 257, 9948, 815, 737, 2378, 6390, 306, 13996, 10947, 263, 834, 1636, 2580, 834, 257, 476, 3418, 3546, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 339, 8084, 257, 9948, 815, 737, 2378, 6390, 306, 13996, 10947, 263, 834, 339, 8084, 2580, 834, 257, 476, 3418, 3546, 1582, 28802, 3455, 19709, 30132, 263, 834, 298, 2378, 6390, 7746, 2232, 281, 4939, 338, 267, 2823, 281, 4939, 338, 267, 1888, 281, 4939, 338, 2580, 1477, 7386, 1193, 263, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 5417, 816, 257, 9948, 16532, 1477, 7386, 1193, 263, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 1636, 257, 9948, 16532, 1477, 7386, 1193, 263, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 339, 8084, 257, 9948, 3738, 476, 3418, 1038, 2132, 7183, 5897, 825, 1219, 1205, 19868, 3455, 25583, 263, 1582, 3738, 2433, 1477, 1038, 2132, 1582, 28802, 3455, 25583, 5897, 825, 1219, 1205, 307, 31983, 306, 13996, 11754, 816, 263, 1582, 3738, 2433, 1477, 1038, 2132, 1582, 6745, 31983, 306, 13996, 13640, 4461, 314, 834, 5417, 816, 257, 9948, 5897, 825, 1219, 1205, 307, 31983, 306, 13996, 21545, 263, 1582, 3738, 2433, 1477, 1038, 2132, 1582, 6745, 31983, 306, 13996, 13640, 4461, 314, 834, 1636, 257, 9948, 5897, 825, 1219, 1205, 298, 2378, 6390, 306, 13996, 11754, 816, 263, 1582, 3738, 2433, 1477, 1038, 2132, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 5417, 816, 257, 9948, 5897, 825, 1219, 1205, 298, 2378, 6390, 306, 13996, 21545, 263, 1582, 3738, 2433, 1477, 1038, 2132, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 1636, 257, 9948, 5897, 825, 1219, 1205, 298, 2378, 6390, 306, 13996, 307, 8084, 263, 1582, 3738, 2433, 1477, 1038, 2132, 1582, 21993, 2378, 6390, 306, 13996, 13640, 4461, 314, 834, 339, 8084, 257, 9948, 1477, 0, 26611, 23591, 24800, 270, 7090, 273, 692, 5814, 2415, 27785, 454, 5814, 23094, 692, 335, 32242, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 5560, 525, 5524, 8782, 26594, 22665, 1413, 1575, 5073, 335, 32242, 14491, 318, 30348, 2891, 338, 13996, 2580, 1558, 822, 541, 6889, 306, 2207, 23615, 2580, 1826, 284, 1598, 2676, 7386, 948, 8782, 291, 10064, 7746, 2232, 5073, 335, 32242, 14491, 318, 30348, 2891, 14766, 2580, 1558, 822, 541, 6889, 7838, 299, 2580, 1826, 284, 1598, 2676, 7386, 948, 8782, 306, 13996, 15745, 547, 581, 6743, 1575, 17210, 16911, 815, 16163, 518, 269, 27785, 318, 16911, 10797, 258, 1820, 3488, 1492, 7746, 281, 476, 1412, 1341, 26571, 4732, 13996, 994, 258, 1820, 3488, 1492, 15745, 281, 1412, 1341, 26571, 269, 7838, 299, 9239, 338, 1442, 815, 23094, 4732, 12714, 4433, 12714, 6993, 293, 318, 2562, 4953, 267, 1948, 4950, 454, 4449, 672, 23094, 2529, 8016, 298, 32707, 16165, 4456, 264, 1948, 579, 31389, 454, 303, 18306, 815, 476, 9818, 280, 692, 9816, 4306, 815, 23094, 3052, 996, 739, 321, 2106, 877, 263, 16911, 4732, 13996, 2020, 338, 1442, 4732, 754, 1729, 263, 16911, 269, 14766, 267, 630, 9816, 4306, 267, 623, 18306, 11723, 13440, 341, 815, 1124, 330, 269, 13440, 341, 263, 9083, 275, 994, 2745, 2891, 291, 10064, 16100, 1575, 281, 834, 1341, 26571, 269, 14766, 1341, 834, 568, 834, 1341, 973, 341, 14714, 8692, 15405, 0, 258, 28605, 8193, 281, 30016, 268, 279, 28605, 1477, 18851, 1477, 32046, 593, 11205, 4455, 476, 2420, 476, 1321, 281, 4649, 281, 1626, 476, 1708, 271, 5897, 287, 10461, 281, 645, 1408, 300, 1477, 18851, 5897, 6112, 6936, 6769, 825, 513, 267, 536, 815, 1496, 1598, 4433, 264, 585, 521, 538, 3403, 14061, 20889, 3488, 1412, 13580, 1477, 825, 952, 5416, 2652, 1412, 271, 262, 543, 536, 2652, 1412, 271, 262, 2567, 2736, 1477, 825, 536, 815, 536, 18622, 2897, 5416, 267, 5257, 3418, 825, 1820, 17301, 6357, 264, 952, 536, 18994, 531, 11133, 3890, 3116, 1412, 271, 20298, 672, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5228, 25644, 1104, 25644, 454, 5228, 3442, 272, 1104, 840, 321, 4490, 454, 5228, 6370, 1104, 2608, 692, 337, 2526, 12173, 815, 25644, 10797, 24987, 815, 1412, 344, 7055, 6112, 630, 24987, 2652, 1412, 344, 262, 2187, 453, 577, 4923, 318, 303, 5803, 3000, 815, 840, 321, 4490, 16868, 2526, 12173, 994, 453, 321, 4490, 8443, 577, 4923, 318, 303, 5803, 3000, 314, 271, 316, 3910, 15180, 12173, 267, 1496, 577, 4923, 318, 303, 5803, 3000, 314, 272, 316, 7481, 453, 24987, 815, 3403, 19629, 333, 25898, 596, 899, 547, 6370, 1586, 286, 18011, 344, 262, 610, 1412, 333, 10807, 19515, 453, 6112, 630, 24987, 11203, 1412, 333, 262, 543, 2626, 11203, 1412, 344, 262, 2187, 453, 453, 24987, 815, 3403, 2891, 6546, 781, 711, 513, 4570, 2626, 269, 14348, 596, 899, 547, 6370, 1586, 286, 18011, 344, 262, 610, 1412, 333, 10807, 834, 2020, 2745, 19629, 333, 12552, 585, 4730, 32405 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5970, 596, 2479, 14478, 602, 12558, 540, 634, 8433, 1141, 667, 342, 697, 543, 7812, 1711, 741, 1378, 791, 668, 696, 340, 29519, 593, 4965, 538, 519, 9036, 286, 3414, 519, 1576, 540, 741, 554, 559, 13895, 1700, 543, 3552, 569, 25619, 256, 1700, 968, 20759, 541, 2223, 667, 342, 697, 24616, 267, 968, 12831, 1833, 286, 27355, 1406, 602, 1175, 513, 16681, 2262, 585, 4743, 536, 636, 4364, 856, 9495, 901, 6429, 814, 1831, 519, 1641, 540, 5215, 540, 1509, 525, 602, 649, 14902, 827, 609, 2828, 269, 1809, 267, 538, 1840, 547, 922, 9644, 1871, 267, 649, 666, 849, 946, 713, 9183, 547, 20006, 513, 6643, 827, 4965, 543, 519, 2956, 540, 14637, 707, 2790, 1072, 538, 519, 9036, 269, 769, 713, 2376, 267, 649, 3580, 1451, 811, 827, 4965, 543, 875, 596, 666, 4225, 707, 2790, 1072, 693, 960, 563, 1432, 568, 12870, 888, 12831, 1833, 568, 513, 1360, 3978, 2790, 4576, 602, 5540, 811, 982, 476, 18605, 2929, 1004, 5001, 269, 4014, 519, 3169, 2014, 540, 4965, 568, 7164, 267, 649, 798, 917, 602, 513, 3099, 540, 2188, 666, 3565, 547, 519, 12614, 540, 4965, 267, 1519, 2634, 7998, 267, 15779, 2833, 267, 543, 824, 2564, 610, 2790, 1072, 2152, 269, 634, 3123, 540, 4965, 666, 581, 607, 9867, 543, 607, 2123, 607, 519, 5574, 267, 865, 952, 596, 2461, 10010, 609, 4965, 267, 621, 779, 1271, 547, 3343, 948, 689, 513, 2790, 1072, 3318, 945, 666, 948, 596, 960, 998, 707, 1995, 563, 1432, 6496, 12870, 18461, 6145, 888, 25444, 779, 1995, 609, 4965, 568, 1114, 267, 865, 1978, 1004, 949, 1995, 1114, 2589, 538, 8795, 5232, 540, 10335, 269, 1809, 607, 513, 2489, 4341, 267, 4965, 568, 6353, 676, 513, 24245, 2631, 540, 18354, 602, 3085, 1406, 979, 2476, 269, 1403, 596, 2461, 10010, 609, 4965, 267, 596, 1522, 1745, 4503, 267, 27945, 267, 610, 8572, 547, 1265, 12257, 538, 1919, 596, 1031, 547, 2972, 269, 1411, 1522, 1995, 7411, 12008, 610, 4189, 269, 2368, 1004, 6560, 547, 3548, 610, 3207, 693, 782, 1247, 1866, 946, 1426, 543, 3207, 607, 513, 12003, 7271, 269, 1306, 513, 1267, 267, 930, 1004, 949, 3801, 547, 3251, 538, 5127, 585, 1034, 540, 519, 1554, 610, 1265, 4313, 538, 10438, 2941, 1190, 5666, 540, 1426, 563, 5194, 5929, 10689, 5658, 540, 4965, 568, 513, 3668, 540, 8404, 269, 1403, 596, 1745, 4503, 267, 27945, 267, 543, 16397, 676, 21817, 267, 621, 779, 1360, 2182, 547, 1265, 519, 8404, 547, 1685, 707, 3232, 4247, 269, 634, 17418, 547, 4497, 538, 707, 8912, 2238, 949, 849, 7623, 707, 4606, 540, 18354, 267, 2870, 513, 4783, 540, 29359, 543, 21817, 269, 901, 4783, 666, 3565, 547, 519, 4743, 602, 707, 3510, 568, 27945, 543, 596, 949, 5555, 1745, 602, 8840, 519, 4783, 540, 4965, 568, 7543, 563, 1692, 6496, 12870, 18748, 513, 12287, 779, 13437, 693, 4518, 888, 2252, 596, 2461, 10010, 609, 27945, 1145, 543, 513, 2530, 540, 8404, 267, 621, 779, 24669, 602, 621, 666, 581, 1360, 2352, 547, 798, 707, 1655, 693, 960, 269, 769, 1082, 2665, 267, 968, 4777, 532, 707, 1655, 892, 1522, 1745, 899, 621, 779, 11207, 1055, 519, 3349, 282, 596, 1522, 1745, 602, 621, 779, 7543, 547, 1256, 798, 707, 2816, 267, 1454, 1447, 2285, 621, 707, 1655, 4674, 269, 1924, 267, 621, 779, 1100, 9983, 602, 4965, 666, 723, 513, 1713, 1764, 593, 707, 2773, 693, 960, 269, 1306, 513, 1267, 540, 4965, 267, 596, 1522, 1745, 8572, 547, 798, 707, 2816, 543, 713, 666, 2322, 596, 693, 1981, 540, 9561, 707, 2816, 610, 29655, 538, 513, 4090, 540, 21817, 563, 4913, 267, 609, 602, 1767, 267, 621, 779, 1271, 547, 3314, 602, 707, 2702, 547, 960, 543, 581, 11327, 1281, 711, 5581, 707, 1871, 607, 513, 1480, 1373, 269, 670, 13783, 1524, 513, 2816, 568, 711, 519, 1034, 1271, 3364, 538, 1272, 6862, 519, 1034, 1271, 2601, 547, 3343, 2126, 585, 707, 2790, 1072, 269, 1809, 952, 707, 4965, 814, 1831, 865, 4049, 602, 596, 616, 8572, 547, 1683, 585, 3054, 610, 4497, 538, 519, 2238, 596, 2356, 2972, 267, 713, 568, 513, 1129, 602, 596, 949, 991, 547, 3343, 948, 865, 596, 666, 2972, 513, 1732, 2298, 540, 1272, 269, 4634, 952, 707, 4965, 2306, 596, 1745, 27945, 267, 596, 1058, 917, 602, 596, 17330, 547, 581, 6126, 543, 596, 17330, 513, 16180, 1272, 269, 1924, 267, 952, 707, 4965, 568, 1818, 621, 2352, 585, 596, 547, 1711, 519, 1272, 596, 1616, 547, 723, 267, 621, 779, 942, 547, 3914, 856, 585, 948, 563, 1692, 547, 5192, 6435, 1280, 12870, 454, 2252, 596, 2461, 4712, 547, 3343, 2126, 585, 4965, 267, 2921, 519, 9650, 13958, 21216, 685, 1863, 4965, 1449, 568, 513, 1434, 1101, 1900, 269, 6744, 621, 856, 1934, 281, 4179, 2517, 4178, 6230, 785, 26817, 1725, 21216, 3820, 7933, 788, 1833, 23150, 13045, 1607, 1449, 666, 948, 596, 6218, 707, 2589, 543, 602, 949, 1118, 621, 4443, 547, 4766, 707, 2589, 547, 513, 13309, 269, 1656, 952, 596, 1745, 6899, 3257, 865, 267, 596, 666, 849, 3717, 609, 707, 16108, 827, 707, 1995, 609, 4965, 543, 875, 621, 779, 18363, 707, 2773, 693, 960, 269, 22411, 338, 547, 632, 3613, 25634, 1125, 2790, 4576, 723, 25340, 12012, 938, 2486, 779, 10182, 4724, 2790, 1072, 543, 972, 568, 513, 1434, 4960, 602, 707, 16108, 1522, 581, 8348, 547, 1489, 596, 538, 707, 6370, 609, 4965, 269, 6787, 602, 1797, 3246, 606, 6142, 1544, 602, 6227, 7886, 609, 513, 13309, 610, 4758, 596, 930, 942, 1055, 267, 707, 16108, 1522, 581, 2111, 547, 1489, 707, 2790, 1072, 538, 513, 3099, 540, 2081, 269, 1924, 267, 1810, 1406, 581, 12922, 547, 3914, 856, 585, 948, 543, 1930, 909, 827, 707, 6560, 609, 4965, 538, 519, 9036, 2336, 2690, 811, 4930, 267, 3643, 744, 291, 18248, 269, 0, 27094, 543, 17716, 281, 10289, 519, 7756, 17435, 5014, 540, 17583, 454, 27094, 543, 3347, 616, 606, 7533, 851, 540, 519, 1480, 1995, 267, 5935, 938, 2729, 543, 8744, 721, 7096, 7772, 267, 4276, 267, 543, 2208, 269, 1717, 267, 519, 6384, 540, 2648, 543, 3347, 616, 15491, 267, 21214, 1585, 7516, 602, 3565, 547, 519, 3178, 543, 2298, 540, 938, 4296, 609, 1866, 563, 28308, 2287, 519, 17583, 16508, 25055, 3029, 519, 4295, 540, 513, 2178, 543, 16180, 2078, 269, 898, 3322, 4687, 707, 8076, 4606, 267, 12194, 267, 9909, 267, 543, 16426, 609, 707, 7649, 269, 1635, 5807, 3929, 25055, 267, 596, 1711, 513, 2922, 543, 14637, 2230, 1141, 1312, 4891, 666, 581, 2938, 267, 4862, 267, 543, 6956, 593, 513, 7096, 1377, 563, 763, 5678, 540, 25291, 8447, 25055, 4422, 3564, 519, 7706, 540, 14920, 269, 898, 13315, 519, 1379, 540, 5905, 267, 15754, 267, 543, 804, 4923, 612, 269, 4980, 22899, 2168, 25055, 3322, 11589, 2648, 267, 1416, 267, 543, 7287, 998, 17267, 267, 554, 13903, 267, 21098, 525, 267, 543, 15982, 8090, 269, 898, 4249, 513, 4105, 1909, 538, 14304, 519, 6125, 1063, 4891, 543, 29947, 519, 2631, 540, 4276, 563, 1805, 574, 6819, 9650, 338, 25827, 17356, 4016, 547, 519, 12972, 540, 7214, 4690, 267, 7279, 267, 543, 519, 2702, 547, 4497, 538, 6209, 7391, 269, 898, 3322, 4687, 2093, 267, 543, 5380, 267, 543, 2502, 538, 7214, 18697, 1927, 269, 25827, 17356, 11942, 513, 2631, 540, 2790, 4276, 543, 22262, 2208, 543, 8994, 1620, 1369, 519, 2078, 563, 4537, 1563, 18880, 543, 17644, 454, 19465, 513, 7690, 32655, 2418, 543, 3853, 1683, 513, 4396, 5748, 585, 513, 2635, 543, 16180, 2078, 269, 1879, 4891, 5447, 538, 741, 4295, 2418, 267, 971, 607, 8699, 267, 19969, 267, 1920, 267, 610, 2123, 2208, 267, 621, 5932, 513, 2631, 540, 10103, 543, 3838, 3483, 269, 17553, 543, 13197, 1455, 3853, 1927, 18791, 519, 2631, 540, 11450, 543, 5932, 513, 3838, 5075, 585, 519, 2104, 563, 763, 5295, 540, 23016, 543, 27919, 8081, 633, 2792, 568, 1898, 585, 5807, 1620, 267, 3972, 267, 543, 3929, 1134, 5630, 538, 513, 2078, 269, 898, 3322, 3742, 6947, 267, 6568, 267, 543, 15418, 540, 1142, 824, 781, 2833, 543, 4664, 269, 1635, 8026, 11215, 2792, 267, 4891, 1711, 513, 2230, 1141, 789, 1745, 4862, 267, 15197, 267, 543, 6462, 267, 14304, 519, 4276, 543, 5009, 8994, 2208, 563, 4537, 1563, 11242, 543, 9314, 338, 454, 290, 738, 22899, 8625, 1145, 32655, 2238, 543, 4690, 1711, 3255, 585, 3838, 2833, 543, 8090, 540, 7772, 269, 12056, 538, 12348, 267, 9035, 267, 543, 1007, 2833, 1927, 2636, 4891, 547, 1921, 267, 1711, 8823, 267, 543, 7794, 741, 6125, 269, 1452, 3838, 8090, 16138, 880, 519, 2078, 267, 5807, 513, 2631, 540, 1927, 1145, 543, 23274, 563, 8505, 16860, 543, 14412, 454, 4910, 1051, 532, 10572, 640, 24367, 513, 2631, 540, 13190, 543, 7115, 1369, 513, 2078, 568, 2629, 585, 2123, 2208, 543, 513, 2635, 11450, 269, 3962, 7649, 1058, 723, 519, 2230, 547, 11654, 1367, 4690, 267, 20741, 2123, 2208, 267, 543, 2226, 1514, 4296, 3544, 519, 2078, 269, 21727, 532, 543, 5885, 1142, 824, 781, 23141, 5252, 919, 513, 2631, 540, 8994, 2463, 543, 2636, 585, 513, 7059, 543, 16180, 2078, 563, 307, 6412, 543, 8758, 618, 454, 763, 16170, 13702, 540, 11146, 11565, 543, 7029, 616, 519, 13654, 22225, 540, 513, 14762, 543, 11972, 2078, 269, 8490, 3972, 3340, 19969, 267, 10727, 267, 543, 5812, 3527, 602, 6542, 3972, 10290, 1465, 269, 6936, 7029, 3322, 513, 2620, 5092, 538, 519, 2078, 267, 513, 18515, 547, 6330, 2591, 1927, 267, 543, 513, 3838, 11428, 547, 922, 2208, 543, 15325, 563, 294, 9512, 543, 12472, 454, 21615, 571, 1424, 7827, 8625, 11146, 543, 3347, 616, 711, 11979, 282, 789, 11457, 543, 1689, 936, 942, 269, 16871, 2208, 543, 4720, 1369, 513, 2078, 568, 2629, 585, 922, 1279, 3856, 1967, 269, 5637, 4891, 1058, 581, 8149, 547, 2123, 2208, 267, 5885, 1142, 824, 781, 17050, 543, 9909, 269, 16871, 1689, 1927, 2636, 519, 2078, 547, 3082, 267, 15052, 267, 543, 8853, 9624, 1272, 781, 2591, 543, 13289, 563, 10387, 10899, 8081, 543, 27919, 454, 18455, 1703, 585, 3962, 4033, 21278, 3929, 1489, 543, 6568, 568, 606, 1898, 2460, 540, 2648, 543, 3347, 269, 898, 3322, 1373, 1140, 25293, 547, 707, 7649, 781, 3929, 2115, 267, 5356, 4313, 267, 543, 7555, 676, 741, 2427, 1282, 1312, 7772, 748, 543, 4101, 2053, 269, 5510, 1359, 513, 6947, 1274, 267, 15418, 267, 543, 1620, 11942, 513, 2631, 540, 3354, 543, 18791, 519, 3929, 4276, 1063, 4891, 563, 6962, 267, 2648, 543, 3347, 7854, 1585, 7516, 602, 3565, 547, 519, 3178, 543, 2298, 540, 938, 4296, 269, 1635, 14637, 3929, 25055, 267, 14237, 2168, 25055, 267, 5807, 7214, 17356, 267, 26936, 609, 3838, 2418, 543, 3853, 267, 8026, 11215, 2792, 267, 2502, 538, 3838, 2238, 267, 18245, 13190, 267, 543, 2679, 3972, 543, 7029, 267, 649, 666, 1711, 6209, 543, 16180, 3347, 269, 16871, 891, 7516, 540, 4276, 2636, 721, 547, 6330, 519, 10848, 540, 2648, 609, 11419, 267, 8296, 267, 543, 513, 2620, 1620, 540, 6000, 543, 938, 4891, 269, 2904, 707, 3460, 540, 2648, 581, 23353, 676, 891, 4030, 267, 3056, 596, 547, 7096, 7772, 267, 2208, 267, 543, 513, 9434, 4276, 269, 0, 20059, 618, 1797, 782, 20814, 2724, 547, 5352, 12434, 269, 1656, 3478, 7443, 568, 711, 1863, 269, 1411, 8263, 519, 1981, 540, 3478, 513, 2132, 593, 707, 2724, 563, 2467, 616, 1082, 7221, 2139, 585, 5092, 269, 853, 4169, 543, 7554, 616, 519, 1034, 1455, 269, 769, 1840, 547, 891, 1079, 267, 972, 616, 1483, 10040, 543, 8994, 7482, 269, 3973, 267, 21888, 267, 21113, 267, 543, 2445, 17156, 666, 849, 581, 8925, 563, 12749, 923, 593, 20971, 454, 268, 19594, 10369, 454, 268, 13317, 29714, 454, 268, 2155, 617, 640, 12039, 454, 268, 5871, 14351, 454, 268, 9061, 5174, 4650, 5903, 532, 454, 268, 11038, 10369, 7767, 832, 454, 268, 11038, 3590, 454, 268, 24613, 17721, 454, 268, 670, 8354, 8750, 338, 454, 268, 7767, 14515, 10201, 520, 604, 454, 268, 22676, 3042, 16179, 719, 630, 299, 19447, 994, 268, 2776, 31084, 14351, 454, 268, 17721, 24054, 454, 268, 7464, 24529, 454, 268, 1530, 15247, 269, 6201, 454, 268, 1744, 20760, 30914, 454, 268, 590, 30371, 793, 11485, 454, 268, 20128, 10369, 454, 268, 20764, 675, 13317, 454, 30238, 15080, 593, 20971, 454, 268, 20260, 338, 538, 519, 11038, 29714, 281, 1280, 2072, 267, 28358, 999, 267, 4210, 2355, 543, 18169 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12163, 26705, 1154, 3252, 1031, 547, 3898, 1585, 10230, 543, 2168, 454, 31642, 885, 607, 12673, 563, 12163, 5228, 3351, 1104, 3592, 318, 16029, 454, 5814, 2979, 692, 2562, 6224, 2464, 318, 25807, 318, 300, 4953, 2207, 815, 476, 4375, 269, 24907, 272, 692, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 4937, 1297, 11249, 454, 258, 815, 25275, 25275, 7529, 4499, 284, 7531, 3698, 8870, 263, 7407, 2187, 825, 834, 14303, 5281, 10581, 1871, 1106, 730, 547, 9704, 8918, 4025, 4799, 825, 2132, 834, 260, 323, 257, 4939, 630, 7407, 9239, 3698, 6378, 263, 7407, 267, 9704, 284, 273, 2187, 825, 834, 14303, 5281, 10581, 1871, 1106, 730, 547, 9704, 8918, 4025, 4799, 825, 535, 31198, 1598, 815, 834, 260, 10065, 260, 4206, 257, 4939, 9704, 454, 825, 2132, 535, 31198, 1598, 4939, 630, 7407, 9239, 3698, 521, 580, 21745, 263, 7407, 267, 9704, 284, 274, 2187, 825, 834, 14303, 5281, 10581, 1871, 30149, 609, 9704, 1713, 9704, 4799, 825, 952, 1871, 912, 1038, 1931, 815, 703, 263, 4118, 269, 28776, 263, 4118, 28802, 1015, 263, 4118, 8807, 11274, 263, 7407, 4297, 4917, 1038, 4025, 815, 9704, 910, 1931, 910, 476, 272, 454, 825, 3116, 912, 1038, 4025, 815, 476, 273, 454, 825, 952, 4025, 3436, 476, 271, 912, 1038, 535, 31198, 1598, 815, 834, 260, 10065, 260, 4206, 257, 4939, 630, 17541, 994, 825, 3116, 912, 1038, 535, 31198, 1598, 815, 834, 10065, 271, 325, 4840, 825, 2119, 912, 1038, 1427, 1998, 815, 535, 31198, 1598, 4939, 630, 1037, 263, 7407, 267, 4025, 4917, 825, 4849, 912, 1038, 1427, 1998, 815, 834, 2207, 305, 3036, 281, 535, 31198, 8807, 12089, 3890, 1871, 711, 1336, 4840, 825, 2132, 1427, 1998, 7531, 3698, 2724, 16325, 2187, 825, 834, 14303, 5281, 513, 1297, 30149, 607, 9489, 269, 476, 20134, 30149, 607, 910, 259, 258, 269, 1012, 4840, 825, 952, 1003, 2999, 476, 271, 912, 1038, 2132, 29038, 259, 260, 271, 269, 273, 325, 257, 4939, 2979, 8807, 11274, 16325, 994, 825, 3116, 912, 1038, 2132, 834, 259, 260, 271, 269, 273, 325, 257, 4939, 1003, 7531, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 10414, 267, 22141, 1770, 815, 737, 2354, 454, 258, 815, 25275, 25275, 7529, 4499, 23751, 3698, 7273, 17347, 2354, 2187, 825, 834, 13528, 1846, 737, 2354, 607, 6550, 27029, 825, 2132, 834, 260, 338, 7273, 257, 4939, 630, 338, 580, 21745, 17347, 2354, 265, 1911, 271, 269, 271, 264, 9239, 3698, 737, 301, 17347, 2354, 2187, 825, 834, 13528, 1846, 737, 2354, 607, 4893, 821, 342, 27971, 27029, 825, 2132, 834, 260, 338, 737, 301, 257, 4939, 630, 338, 580, 21745, 263, 15615, 17347, 2354, 12684, 275, 269, 275, 4366, 273, 264, 9239, 3698, 737, 2354, 263, 1998, 2187, 825, 834, 26705, 737, 2354, 607, 737, 2354, 27029, 825, 2132, 834, 260, 338, 737, 2354, 257, 4939, 630, 338, 580, 21745, 263, 1998, 11723, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 20099, 267, 22141, 1770, 815, 6279, 454, 258, 815, 25275, 25275, 7529, 4499, 284, 7531, 3698, 10264, 263, 514, 2583, 2187, 825, 834, 13528, 1846, 6279, 607, 3952, 27029, 825, 2132, 834, 260, 338, 10264, 257, 4939, 630, 338, 580, 21745, 263, 514, 2583, 270, 1321, 269, 271, 264, 9239, 3698, 10264, 18425, 263, 514, 2583, 18425, 267, 21000, 284, 1626, 2187, 825, 834, 13528, 1846, 6279, 607, 3952, 543, 6279, 4840, 825, 952, 6279, 18425, 2999, 476, 271, 912, 1038, 2132, 29038, 260, 338, 257, 4939, 630, 1111, 18425, 263, 4118, 8807, 11274, 263, 514, 2583, 18425, 1070, 21000, 4917, 825, 3116, 912, 1038, 3952, 815, 2979, 269, 28776, 263, 514, 2583, 18425, 270, 1321, 269, 271, 994, 1038, 952, 3952, 3436, 476, 271, 912, 2018, 1193, 6958, 324, 564, 815, 834, 260, 323, 32075, 268, 257, 4939, 3952, 454, 1038, 3116, 912, 2018, 2132, 6279, 263, 514, 2583, 18425, 267, 21000, 994, 1038, 2132, 834, 260, 338, 260, 338, 257, 4939, 630, 1598, 6958, 324, 564, 267, 6279, 263, 514, 2583, 18425, 910, 3952, 265, 1321, 269, 271, 267, 21000, 264, 9239, 3698, 6279, 263, 514, 2583, 18425, 267, 21000, 284, 1626, 2187, 825, 834, 13528, 1846, 6279, 607, 6279, 4840, 825, 952, 711, 1826, 263, 514, 2583, 18425, 264, 2652, 10581, 912, 1038, 6318, 1401, 4003, 2891, 260, 338, 568, 711, 513, 10581, 257, 4939, 6279, 18425, 2020, 825, 952, 6279, 18425, 2999, 476, 271, 912, 1038, 2132, 29038, 260, 338, 257, 4939, 630, 514, 2583, 263, 4118, 8807, 11274, 263, 514, 2583, 18425, 21875, 825, 3116, 912, 1038, 2132, 834, 260, 338, 315, 3269, 4939, 535, 2350, 263, 514, 2583, 18425, 267, 21000, 9239, 3698, 6279, 318, 20657, 2711, 263, 514, 2583, 18425, 2187, 825, 834, 13528, 1846, 6279, 607, 8918, 6279, 909, 547, 476, 275, 8918, 4025, 4840, 825, 952, 834, 260, 323, 257, 4939, 6279, 18425, 2652, 834, 260, 338, 257, 4939, 6279, 18425, 912, 1038, 2132, 834, 260, 323, 257, 4939, 6279, 18425, 454, 825, 3116, 912, 1038, 2132, 834, 10065, 274, 323, 257, 4939, 6279, 18425, 7531, 3698, 544, 263, 514, 2583, 18425, 267, 9704, 284, 274, 2187, 825, 834, 13528, 1846, 6279, 607, 7397, 4840, 825, 2132, 834, 260, 338, 544, 257, 4939, 630, 338, 580, 21745, 263, 514, 2583, 18425, 270, 2562, 6224, 2464, 318, 25807, 318, 300, 4953, 2207, 267, 9704, 264, 9239, 3698, 6515, 263, 514, 2583, 18425, 267, 9704, 284, 274, 2187, 825, 834, 13528, 1846, 6279, 607, 28935, 4840, 825, 2132, 834, 260, 338, 6515, 257, 4939, 630, 338, 580, 21745, 263, 514, 2583, 18425, 270, 2562, 6224, 2464, 318, 25807, 318, 300, 4953, 2207, 265, 1911, 271, 269, 271, 267, 9704, 11723, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 28850, 267, 22141, 1770, 815, 737, 760, 2987, 454, 258, 815, 25275, 25275, 7529, 4499, 284, 7531, 3698, 737, 760, 18425, 17347, 760, 18425, 2583, 2187, 825, 834, 13528, 1846, 22141, 1770, 540, 737, 760, 2987, 2583, 4840, 825, 2132, 834, 260, 338, 737, 760, 2987, 257, 4939, 630, 338, 580, 21745, 17347, 760, 18425, 2583, 264, 9239, 3698, 18470, 318, 1111, 17347, 760, 18425, 2187, 825, 834, 13528, 1846, 737, 760, 2987, 2583, 607, 18470, 268, 1111, 27029, 825, 2132, 834, 260, 338, 18470, 268, 1111, 257, 4939, 630, 338, 580, 21745, 263, 1911, 271, 269, 271, 265, 330, 760, 18425, 270, 1321, 269, 271, 264, 9239, 3698, 737, 760, 318, 1111, 17347, 760, 18425, 2187, 825, 834, 13528, 1846, 737, 760, 2987, 2583, 607, 737, 760, 268, 1111, 27029, 825, 2132, 834, 260, 338, 737, 760, 268, 1111, 257, 4939, 630, 338, 580, 21745, 17347, 760, 18425, 270, 1321, 269, 271, 264, 9239, 3698, 737, 301, 8548, 17347, 760, 18425, 2187, 825, 834, 13528, 1846, 4893, 821, 342, 2023, 2173, 4394, 607, 737, 760, 268, 1111, 27029, 825, 2132, 834, 260, 338, 737, 301, 2173, 257, 4939, 630, 338, 580, 21745, 17347, 760, 18425, 265, 271, 269, 12208, 7176, 11723, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 16242, 267, 22141, 1770, 815, 737, 2354, 829, 4009, 10759, 630, 802, 328, 994, 258, 815, 25275, 25275, 7529, 4499, 284, 7531, 3698, 533, 19561, 263, 802, 328, 2187, 825, 834, 13528, 1846, 737, 19561, 607, 533, 19561, 27029, 825, 2132, 834, 260, 338, 533, 19561, 257, 4939, 630, 338, 580, 21745, 263, 802, 328, 265, 1911, 271, 269, 271, 267, 476, 274, 264, 9239, 3698, 737, 19561, 263, 802, 328, 2187, 825, 834, 13528, 1846, 737, 19561, 607, 737, 19561, 27029, 825, 2132, 834, 260, 338, 737, 19561, 257, 4939, 630, 338, 580, 21745, 263, 802, 328, 267, 476, 274, 264, 9239, 3698, 27666, 325, 263, 802, 328, 2187, 825, 834, 13528, 1846, 737, 19561, 607, 27666, 325, 27029, 825, 2132, 834, 260, 338, 27666, 325, 257, 4939, 630, 338, 580, 21745, 263, 802, 328, 265, 13893, 269, 271, 265, 1911, 271, 269, 271, 267, 476, 274, 264, 9239, 3698, 31872, 325, 263, 802, 328, 2187, 825, 834, 13528, 1846, 737, 19561, 607, 31872, 325, 27029, 825, 2132, 834, 260, 338, 31872, 325, 257, 4939, 630, 338, 580, 21745, 263, 802, 328, 265, 13893, 269, 271, 267, 476, 274, 264, 9239, 3698, 737, 25508, 263, 802, 328, 2187, 825, 834, 13528, 1846, 737, 19561, 607, 4893, 641, 2444, 1023, 27029, 825, 2132, 834, 260, 338, 737, 25508, 257, 4939, 630, 338, 580, 21745, 263, 802, 328, 265, 6924, 280, 275, 269, 279, 11723, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 7412, 13907, 267, 22141, 1770, 815, 737, 2354, 829, 3723, 630, 330, 270, 1111, 994, 258, 815, 25275, 25275, 7529, 4499, 284, 7531, 3698, 726, 325, 17347, 2354, 30648, 318, 1111, 2187, 825, 834, 4813, 1846, 737, 2354, 829, 10759, 607, 6550, 829, 3723, 27029, 825, 2132, 834, 260, 338, 726, 325, 257, 4939, 630, 338, 580, 21745, 17347, 2354, 30648, 318, 1111, 265, 1911, 271, 269, 271, 264, 9239, 3698, 737, 331, 325, 17347, 2354, 30648, 318, 1111, 2187, 825, 834, 4813, 1846, 737, 2354, 829, 10759, 607, 737, 2354, 829, 3723, 27029, 825, 2132, 834, 260, 338, 737, 270, 1111, 257, 4939, 630, 338, 580, 21745, 17347, 2354, 30648, 318, 1111, 265, 1321, 269, 271, 11723, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 30767, 1871, 815, 3747, 270, 5115, 13369, 5223, 454, 258, 815, 25275, 25275, 7529, 4499, 284, 7531, 3698, 9322, 263, 308, 2187, 825, 834, 13528, 1846, 9322, 1871, 607, 476, 273, 18251, 1297, 609, 15528, 610, 15726, 21879, 4840, 825, 952, 772, 10922, 476, 272, 269, 271, 912, 1038, 20444, 326, 815, 834, 303, 19798, 4840, 825, 8640, 772, 10922, 476, 272, 269, 6734, 912, 1038, 20444, 326, 815, 834, 6347, 312, 15528, 4840, 825, 3116, 912, 1038, 20444, 326, 815, 834, 11902, 6579, 4840, 825, 2132, 834, 10065, 273, 325, 4939, 338, 257, 4939, 630, 308, 267, 20444, 326, 2020, 258, 815, 25275, 25275, 7529, 4499, 23751, 258, 17773, 454, 258, 815, 25275, 25275, 7529, 4499, 284, 7531, 3698, 535, 2350, 263, 1998, 267, 21000, 284, 5038, 2187, 825, 834, 13528, 1846, 513, 13735, 1448, 1297, 607, 513, 6824, 4840, 825, 952, 1130, 2999, 476, 271, 912, 1038, 2132, 29038, 260, 338, 257, 4939, 630, 2765, 263, 4118, 8807, 11274, 263, 1998, 1070, 21000, 4917, 825, 3116, 912, 1038, 2898, 815, 2979, 269, 28776, 263, 1998, 994, 1038, 1232, 815, 1130, 910, 2898, 454, 1038, 6746, 815, 476, 271, 454, 1038, 952, 1232, 912, 2018, 6746, 815, 5180, 263, 20657, 265, 6577, 558, 994, 2018, 1247, 711, 630, 333, 10179, 4939, 476, 273, 264, 543, 6746, 912, 3546, 6746, 815, 6746, 270, 273, 454, 3546, 21000, 815, 21000, 270, 273, 454, 258, 2018, 952, 21000, 2652, 476, 272, 912, 258, 3546, 2898, 6834, 476, 272, 454, 258, 3546, 6746, 815, 476, 271, 454, 1038, 952, 3592, 318, 16029, 3799, 10179, 267, 21000, 2187, 2018, 6746, 815, 476, 271, 454, 2018, 2898, 815, 2898, 1341, 476, 272, 454, 1038, 952, 2898, 543, 6746, 912, 2018, 2132, 834, 260, 323, 4939, 323, 270, 260, 323, 257, 4939, 630, 3369, 1961, 267, 6746, 267, 21000, 994, 1038, 8640, 6746, 912, 2018, 2132, 834, 260, 323, 270, 260, 323, 257, 4939, 630, 333, 10179, 267, 21000, 994, 1038, 3116, 912, 2018, 2132, 834, 260, 323, 257, 4939, 630, 3369, 1961, 9239, 5035, 590, 580, 21745, 293, 5979, 520, 263, 15615, 2187, 825, 834, 5825, 539, 538, 1747, 540, 513, 10581, 585, 5569, 11249, 1152, 269, 476, 2398, 6493, 538, 1713, 9704, 3898, 3010, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 267, 9704, 284, 274, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 1582, 6155, 580, 1080, 815, 9704, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 521, 580, 21745, 4311, 27841, 267, 1582, 6155, 580, 1080, 994, 0, 5228, 19219, 1104, 19219, 1477, 5814, 4351, 24653, 5035, 21912, 8266, 6769, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1582, 14857, 3650, 815, 7183, 1477, 1038, 1582, 14857, 21653, 815, 476, 271, 5897, 825, 1219, 1039, 17045, 4311, 267, 1871, 8029, 1038, 952, 1582, 14857, 21653, 2652, 476, 271, 6769, 2018, 1582, 14857, 3650, 815, 19219, 263, 7407, 3418, 1038, 3116, 6769, 2018, 10917, 815, 1582, 14857, 3650, 1477, 2018, 585, 1775, 538, 2039, 4311, 14857, 21653, 910, 476, 272, 8029, 3546, 10917, 815, 10917, 12785, 17045, 14052, 2018, 10917, 14491, 17045, 263, 11966, 263, 7407, 17903, 1038, 1582, 14857, 21653, 6834, 476, 272, 5897, 825, 1219, 1820, 5332, 3941 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22479, 1388, 10688, 476, 277, 2537, 519, 2110, 2196, 4534, 1141, 519, 6006, 4632, 971, 607, 2724, 543, 19736, 616, 13840, 2016, 4534, 519, 14769, 2623, 543, 3854, 10688, 15658, 269, 9502, 540, 10688, 540, 3854, 281, 713, 10688, 5673, 593, 519, 9000, 540, 9304, 19231, 593, 519, 1102, 869, 338, 543, 856, 6503, 338, 540, 3854, 269, 634, 7543, 959, 6541, 11425, 20891, 849, 13187, 602, 519, 7269, 540, 2883, 14051, 543, 519, 1863, 3350, 540, 3854, 8928, 616, 519, 2601, 1946, 2804, 16839, 269, 1547, 634, 9297, 540, 1480, 3854, 849, 2272, 585, 519, 1482, 3255, 602, 6536, 16057, 10688, 585, 519, 4057, 1711, 606, 3160, 2179, 540, 18746, 10688, 585, 269, 4139, 9297, 7084, 948, 267, 3486, 3854, 10688, 267, 3486, 3854, 10688, 568, 6045, 2630, 281, 519, 2013, 585, 519, 3486, 3854, 10688, 729, 1034, 10423, 569, 269, 1323, 26087, 525, 519, 2360, 540, 606, 2333, 538, 519, 1942, 540, 3854, 593, 513, 8013, 2872, 2015, 1312, 519, 2110, 2196, 543, 1279, 2196, 2360, 593, 269, 4139, 3854, 10688, 3486, 3854, 10688, 268, 519, 1863, 2095, 540, 5092, 14104, 689, 835, 2197, 547, 1776, 568, 513, 3905, 1888, 538, 519, 1158, 540, 9297, 563, 22479, 1388, 10688, 4214, 9297, 519, 2702, 540, 3854, 547, 1847, 18368, 519, 4110, 540, 3854, 10688, 5673, 593, 2229, 4507, 28142, 610, 3454, 532, 3854, 1102, 869, 338, 269, 1323, 26087, 525, 519, 2360, 540, 606, 2333, 538, 519, 1942, 540, 3854, 593, 513, 8013, 2872, 2015, 1312, 519, 2110, 2196, 543, 1279, 2196, 2360, 593, 11466, 3902, 543, 7274, 267, 519, 1297, 540, 10909, 269, 4860, 16695, 632, 1859, 807, 1135, 6403, 339, 3821, 476, 3066, 630, 274, 1070, 476, 1220, 280, 476, 1428, 556, 628, 9722, 519, 9297, 540, 3854, 10688, 543, 3854, 8060, 28114, 1775, 5493, 2917, 713, 1957, 556, 1410, 26952, 519, 3390, 540, 3486, 19509, 333, 2574, 269, 2817, 2804, 3961, 543, 3854, 10688, 281, 1533, 1532, 5350, 1894, 538, 32204, 13314, 630, 6921, 984, 1446, 2184, 27528, 3331, 370, 330, 517, 558, 773, 264, 1496, 1537, 325, 795, 682, 3438, 6308, 316, 593, 32312, 1260, 1863, 11288, 593, 27216, 269, 1403, 596, 616, 10478, 585, 519, 19545, 3854, 10688, 267, 5385, 3928, 543, 2804, 16839, 676, 24636, 535, 2033, 538, 7824, 1106, 267, 1287, 596, 4312, 2097, 547, 519, 1318, 3135, 563, 20082, 713, 1957, 556, 1410, 26952, 519, 3390, 540, 3486, 2883, 3854, 10688, 267, 799, 568, 2221, 781, 2804, 31249, 344, 4901, 568, 1419, 29600, 538, 2474, 540, 519, 7543, 959, 6541, 269, 1234, 324, 1407, 14592, 519, 4296, 1063, 10688, 543, 2804, 2773, 519, 2804, 2013, 585, 1514, 10688, 855, 538, 513, 1158, 1141, 1480, 3854, 269, 13636, 2804, 5610, 543, 922, 2360, 593, 3854, 10688, 616, 9916, 585, 19052, 2477, 3040, 649, 946, 8470, 1071, 15759, 1674, 2079, 547, 3313, 519, 1377, 540, 3854, 10688, 269, 13317, 10688, 267, 13075, 3609, 267, 543, 5385, 3854, 10688, 519, 3844, 3981, 1431, 540, 3486, 13075, 9297, 568, 602, 606, 2333, 538, 3854, 563, 14240, 540, 3854, 10688, 2188, 602, 3310, 10688, 1764, 543, 1761, 2042, 540, 3854, 10688, 3095, 547, 2883, 6433, 540, 476, 1220, 278, 269, 631, 1495, 749, 1922, 548, 2719, 2203, 540, 513, 1507, 1930, 4346, 546, 644, 2917, 1071, 5803, 959, 6541, 2852, 19796, 4802, 546, 644, 2917, 1071, 5803, 630, 13700, 6541, 2852, 19796, 4802, 264, 3666, 540, 11033, 543, 3854, 10688, 269, 2060, 8635, 13059, 547, 13840, 1164, 2157, 267, 29076, 10688, 814, 13631, 3395, 3007, 689, 3609, 15670, 543, 19174, 519, 4589, 946, 5063, 3370, 269, 10753, 657, 2287, 4074, 9993, 267, 799, 2636, 585, 13664, 543, 17163, 10688, 267, 814, 1312, 1434, 543, 3983, 2360, 593, 513, 2197, 543, 922, 4600, 563, 17138, 281, 3854, 10688, 543, 32278, 3609, 896, 6378, 543, 8465, 5385, 3928, 2813, 4266, 281, 476, 1001, 2568, 279, 5881, 272, 26839, 1428, 345, 269, 13317, 10688, 543, 3854, 3454, 6735, 8257, 540, 9297, 543, 536, 6033, 20576, 585, 1857, 3609, 519, 6708, 540, 3854, 10688, 281, 630, 272, 563, 763, 3486, 2804, 2916, 814, 4957, 538, 519, 4287, 540, 952, 1250, 10054, 827, 3854, 10688, 941, 4570, 538, 28492, 267, 476, 279, 621, 1131, 1611, 602, 269, 16748, 1439, 578, 906, 267, 2029, 267, 3854, 10688, 543, 519, 2959, 540, 13354, 5413, 538, 5663, 630, 1263, 1501, 269, 7917, 13171, 9372, 905, 523, 14259, 8257, 540, 9297, 476, 13301, 271, 678, 643, 754, 749, 26738, 968, 514, 1181, 1049, 4123, 543, 3854, 10688, 1063, 4129, 1881, 11615, 2223, 4760, 540, 269, 3557, 4390, 543, 2804, 1646, 896, 3854, 10688, 586, 340, 15073, 340, 1535, 807, 2135, 826, 1990, 29697, 31334, 632, 4895, 476, 1556, 267, 476, 1001, 277, 7493, 713, 1957, 12116, 519, 1198, 540, 19509, 2675, 531, 4390, 593, 2199, 2829, 269, 4139, 9297, 4123, 15320, 689, 519, 14230, 540, 2804, 3069, 5631, 1317, 540, 519, 26483, 3908, 3486, 10688, 540, 519, 3854, 563, 17220, 2804, 4760, 476, 8618, 4320, 476, 278, 267, 1297, 476, 272, 267, 5614, 476, 1960, 274, 3486, 3854, 10688, 543, 519, 9297, 540, 2076, 571, 512, 542, 544, 19376, 1159, 19376, 519, 6280, 540, 1921, 19107, 269, 634, 2468, 12661, 2742, 538, 1686, 281, 4123, 26160, 1851, 5385, 3928, 267, 13075, 4507, 267, 543, 3854, 10688, 267, 519, 2689, 540, 9297, 543, 7194, 267, 5378, 2046, 269, 24722, 2883, 8928, 267, 3854, 10688, 267, 543, 2518, 20817, 547, 10210, 585, 2804, 1646, 267, 610, 547, 3035, 2804, 2208, 998, 2362, 2121, 18666, 269, 0, 5649, 713, 1557, 593, 4503, 538, 8144, 1063, 1079, 22988, 945, 616, 3444, 2686, 2792, 666, 3986, 3461, 4491, 3187, 3347, 543, 2087, 269, 9093, 607, 2686, 16431, 281, 875, 2528, 5546, 4008, 11475, 27753, 941, 4857, 538, 519, 1394, 20675, 3175, 835, 540, 1346, 1079, 4529, 269, 11957, 540, 2528, 1557, 1893, 568, 519, 1106, 540, 1514, 2792, 543, 519, 1256, 950, 519, 1893, 568, 1482, 1063, 519, 1079, 4529, 855, 1869, 972, 269, 1306, 513, 1267, 540, 741, 22371, 547, 824, 4529, 2523, 950, 8144, 4386, 1063, 1079, 3982, 2792, 1063, 1114, 10409, 2516, 269, 2201, 669, 1682, 5652, 543, 519, 1079, 4529, 540, 8579, 1565, 713, 1557, 11828, 1018, 669, 1682, 5652, 1767, 6257, 1079, 4529, 281, 1101, 519, 1239, 9781, 2528, 563, 24292, 19795, 270, 23890, 543, 1893, 950, 1079, 4529, 609, 741, 1378, 4654, 1590, 972, 568, 1100, 4890, 8144, 883, 7005, 540, 519, 2262, 1412, 335, 879, 269, 21478, 540, 4295, 2686, 2418, 593, 2686, 2418, 593, 519, 2792, 7180, 540, 1063, 1079, 1949, 540, 2418, 741, 2686, 4282, 269, 22564, 568, 519, 2792, 540, 519, 2495, 540, 513, 855, 849, 513, 2620, 1620, 540, 519, 1079, 4529, 3238, 2930, 8144, 606, 1557, 538, 269, 898, 666, 581, 1767, 602, 519, 1101, 1523, 538, 2686, 8144, 2090, 729, 2686, 2490, 602, 538, 476, 3192, 279, 729, 2792, 1893, 543, 2528, 1079, 4529, 1183, 563, 2171, 2709, 606, 4081, 13629, 1982, 538, 23316, 267, 8144, 2090, 543, 16166, 267, 6530, 267, 6138, 267, 5339, 2090, 267, 1148, 543, 1148, 1686, 269, 8836, 7496, 547, 2500, 2792, 986, 2096, 1180, 1071, 1156, 734, 10864, 582, 11868, 2066, 4529, 281, 2792, 9465, 538, 3486, 23372, 713, 1557, 630, 1492, 269, 4004, 21899, 2066, 4529, 568, 1256, 519, 3903, 540, 2792, 5420, 666, 723, 2686, 543, 1100, 1079, 1004, 10362, 547, 519, 1482, 2528, 616, 269, 3371, 646, 30193, 1063, 1079, 4485, 547, 519, 8144, 4305, 543, 2528, 607, 513, 2898, 543, 519, 8144, 1590, 581, 538, 8144, 281, 3594, 563, 32487, 538, 2686, 6214, 2165, 602, 5543, 1407, 519, 8082, 1063, 1079, 4529, 5431, 2221, 568, 519, 6988, 540, 5339, 2792, 543, 8144, 269, 634, 1101, 568, 538, 519, 1079, 3594, 540, 851, 13797, 593, 2528, 543, 519, 7664, 540, 4529, 519, 7664, 540, 4529, 519, 7664, 540, 4529, 269, 22564, 543, 2686, 3961, 281, 5697, 3594, 593, 8144, 543, 3444, 14426, 2792, 12995, 676, 544, 3821, 11253, 18665, 10722, 9926, 23343, 17383, 543, 1286, 5443, 536, 1132, 320, 3766, 6759, 1889, 345, 269, 1809, 1454, 540, 26068, 2792, 538, 1114, 4529, 568, 3594, 1644, 547, 26068, 2792, 476, 272, 2792, 4523, 538, 1079, 1360, 1114, 563, 9359, 4974, 14375, 10618, 1970, 8410, 3667, 4529, 946, 1893, 519, 1184, 602, 4386, 950, 2818, 540, 1079, 610, 811, 4529, 610, 1071, 269, 16952, 4030, 883, 2792, 2645, 585, 1620, 2686, 3604, 2792, 2645, 585, 1620, 2686, 610, 326, 270, 22967, 270, 23890, 563, 11328, 322, 8590, 5967, 2079, 1557, 593, 519, 2956, 540, 2792, 538, 519, 30067, 4618, 2528, 607, 1134, 607, 10486, 1063, 519, 1079, 4529, 269, 22564, 267, 2686, 1702, 543, 17685, 8590, 606, 957, 540, 2792, 538, 799, 513, 1257, 519, 8144, 1966, 814, 1079, 2528, 269, 22564, 543, 7664, 616, 519, 10700, 6009, 585, 1004, 945, 2648, 1893, 2705, 267, 972, 616, 513, 2603, 540, 21390, 827, 519, 1079, 563, 3719, 2864, 513, 811, 1950, 19908, 1063, 1079, 4529, 519, 1770, 540, 8144, 729, 2686, 8144, 568, 4529, 281, 3594, 593, 5339, 8144, 269, 7969, 2528, 519, 621, 6501, 2528, 568, 5310, 835, 540, 519, 29659, 4529, 538, 519, 3003, 7013, 21570, 621, 814, 513, 1360, 3638, 1686, 538, 2463, 547, 922, 2442, 9821, 543, 5389, 269, 27511, 281, 2792, 3069, 267, 3444, 14426, 2792, 267, 8144, 267, 6988, 3069, 267, 1981, 2359, 621, 568, 2484, 1732, 6192, 538, 1079, 3108, 630, 684, 1652, 269, 14424, 1299, 4334, 1557, 281, 875, 2528, 5540, 2792, 3604, 798, 711, 1611, 621, 779, 7543, 585, 1079, 1114, 4529, 547, 799, 1557, 1641, 563, 306, 1539, 1108, 2165, 4574, 630, 17549, 476, 14689, 6434, 264, 593, 1018, 568, 2528, 1200, 20020, 543, 519, 1875, 23724, 1043, 11132, 7215, 1711, 513, 11064, 585, 26762, 519, 2792, 269, 634, 3483, 540, 8144, 568, 711, 547, 7520, 519, 2792, 1063, 1079, 519, 1523, 540, 2686, 8144, 538, 824, 10600, 281, 3594, 538, 2686, 269, 7756, 4529, 267, 1114, 3594, 281, 936, 476, 5197, 267, 1822, 1114, 4529, 267, 1114, 3594, 267, 1114, 4529, 267, 1114, 2165, 4574, 267, 1114, 4529, 267, 1114, 1382, 1957, 267, 1433, 269, 769, 519, 1153, 540, 3332, 543, 4654, 267, 649, 2811, 19832, 609, 519, 1259, 1913, 543, 4654, 960, 267, 875, 789, 2951, 2066, 3084, 6302, 543, 1063, 4529, 267, 543, 519, 2078, 789, 269, 1703, 616, 1079, 3252, 540, 2686, 865, 1312, 4914, 1893, 6267, 543, 3610, 1058, 2628, 811, 3007, 547, 2686, 2792, 1603, 513, 1434, 1557, 269, 0, 2421, 25014, 531, 2106, 772, 10428, 871, 518, 4137, 676, 808, 990, 3570, 27055, 329, 5271, 545, 9737, 5181, 476, 1960, 280, 543, 4873, 476, 1220, 271, 267, 519, 1101, 1480, 11646, 729, 3524, 10642, 269, 4595, 1287, 267, 3744, 723, 4121, 711, 1152, 547, 1224, 519, 1480, 11646, 267, 855, 849, 547, 13861, 621, 267, 5356, 13778, 3255, 547, 2087, 1480, 1072, 998, 4719, 19260, 269, 2290, 1383, 540, 713, 568, 5444, 5397, 2029, 267, 799, 4931, 24000, 8106, 18472, 3270, 547, 2048, 20142, 633, 685, 519, 4527, 540, 1880, 2560, 15566, 2542, 21207, 548, 5455, 585, 22319, 3220, 1161, 540, 519, 8892, 2336, 2690, 519, 1101, 942, 267, 606, 15110, 4524, 814, 1044, 20328, 538, 9002, 1354, 4332, 269, 968, 2467, 616, 513, 1297, 540, 2175, 585, 799, 649, 1131, 3343, 2126, 538, 14685, 334, 267, 855, 12926, 891, 723, 1044, 1875, 24932, 2045, 267, 1875, 2987, 615, 1243, 2175, 2223, 3220, 269, 8575, 13453, 3171, 724, 8932, 267, 606, 13930, 7548, 540, 14774, 19341, 4915, 693, 519, 2160, 540, 29016, 267, 945, 729, 711, 3238, 538, 713, 1353, 267, 5143, 29865, 269, 634, 2068, 267, 2473, 30499, 3834, 2129, 573, 549, 6776, 28341, 25866, 531, 2560, 15566, 2542, 21988, 2126, 540, 513, 4686, 4719, 4524, 538, 519, 27042, 454, 1103, 1931, 547, 3049, 1169, 1480, 1373, 593, 519, 4541, 676, 476, 13078, 271, 267, 519, 1158, 786, 991, 547, 3132, 2484, 811, 1426, 269, 2290, 7411, 6705, 3068, 568, 4466, 2614, 4195, 1216, 269, 589, 1895, 540, 3744, 3366, 676, 15576, 541, 345, 2106, 320, 717, 869, 871, 320, 267, 689, 519, 2160, 540, 13325, 267, 12124, 320, 267, 949, 723, 1336, 513, 1761, 1259, 547, 4688, 6705, 1216, 269, 634, 1895, 779, 4480, 31963, 593, 519, 588, 558, 1092, 540, 2371, 269, 853, 558, 1092, 616, 2560, 15566, 2542, 774, 1009, 344, 12518, 281, 2052, 2371, 581, 16220, 9168, 547, 991, 1447, 1216, 888, 2171, 3112, 3589, 875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2110, 3856, 3965, 2530, 563, 4692, 513, 2790, 15059, 1689, 707, 7209, 888, 26045, 4576, 666, 2014, 7209, 2242, 538, 4079, 269, 12983, 899, 4160, 267, 4965, 267, 17299, 4524, 543, 17971, 666, 6157, 2014, 7209, 2242, 269, 10076, 4576, 666, 581, 513, 1267, 540, 513, 1297, 540, 2188, 1519, 1995, 267, 11976, 610, 1256, 2168, 5945, 610, 4576, 269, 0, 268, 1215, 798, 596, 946, 1205, 909, 888, 268, 1548, 1352, 4991, 909, 547, 2495, 888, 268, 1548, 568, 513, 2236, 29569, 8231, 538, 2296, 888, 268, 1548, 568, 979, 547, 5127, 888, 268, 1548, 568, 519, 2495, 540, 1205, 1575, 888, 268, 1215, 798, 596, 946, 1205, 909, 538, 513, 4845, 888, 268, 1215, 798, 596, 946, 519, 2262, 1055, 888, 268, 1548, 568, 519, 3017, 1063, 717, 4953, 543, 4991, 888, 268, 1548, 1281, 1205, 909, 543, 979, 1611, 888, 268, 6496, 1205, 909, 1611, 28459, 888, 268, 1548, 568, 533, 11170, 9579, 888, 268, 7316, 1705, 596, 1205, 602, 1205, 909, 2495, 888, 268, 1548, 568, 519, 2236, 29569, 8231, 540, 1205, 909, 888, 268, 1215, 798, 596, 798, 909, 543, 979, 1449, 888, 1692, 798, 596, 946, 1205, 909, 888, 7476, 909, 568, 519, 1034, 7928, 1259, 540, 6031, 968, 1326, 883, 513, 7555, 2990, 5608, 543, 713, 666, 581, 689, 513, 9361, 267, 9054, 9934, 267, 610, 14084, 2990, 282, 952, 596, 1796, 909, 267, 713, 568, 5176, 2141, 1310, 9361, 267, 2523, 593, 513, 11381, 10756, 1432, 1352, 4991, 909, 547, 2495, 888, 30547, 540, 1205, 909, 547, 588, 327, 538, 2296, 547, 798, 1945, 267, 1419, 1945, 602, 824, 1004, 1131, 7106, 17311, 540, 281, 2701, 779, 1044, 3478, 909, 547, 782, 12204, 540, 3765, 27815, 25015, 563, 1432, 568, 513, 2236, 29569, 8231, 538, 2296, 888, 281, 513, 8360, 630, 7945, 607, 1491, 1055, 610, 1413, 1524, 593, 264, 602, 10905, 513, 8231, 609, 513, 840, 6570, 610, 30163, 610, 1312, 543, 602, 3252, 607, 513, 8231, 4171, 2495, 568, 1114, 689, 519, 5916, 10096, 540, 519, 1367, 1913, 563, 1432, 568, 979, 547, 5127, 888, 281, 547, 9114, 1524, 538, 835, 779, 5127, 547, 3207, 2701, 2356, 4422, 547, 5127, 1472, 476, 1556, 281, 876, 563, 1432, 568, 519, 2495, 540, 1205, 1575, 888, 263, 22209, 787, 476, 272, 540, 476, 273, 264, 476, 272, 2433, 28459, 267, 28076, 269, 476, 273, 2433, 2489, 5888, 610, 2497, 563, 1692, 798, 596, 946, 1205, 909, 538, 513, 4845, 888, 4002, 3018, 2395, 267, 594, 1205, 909, 827, 476, 277, 281, 876, 538, 519, 6640, 543, 4368, 14254, 269, 2701, 3323, 547, 1205, 909, 865, 1352, 1223, 1291, 1864, 547, 741, 23103, 267, 855, 646, 8913, 13949, 1200, 1394, 1524, 547, 519, 6885, 10160, 269, 23436, 3323, 547, 1205, 909, 855, 20999, 5163, 539, 1200, 547, 1694, 1869, 1247, 646, 12943, 519, 7450, 563, 1692, 798, 596, 946, 519, 2262, 1055, 888, 8170, 568, 513, 840, 6570, 602, 6920, 3347, 1063, 824, 1913, 267, 971, 607, 10362, 267, 1919, 1500, 540, 824, 1919, 267, 1919, 602, 2270, 824, 1919, 267, 610, 513, 1448, 540, 22672, 11238, 269, 5510, 568, 2356, 1031, 607, 606, 30163, 610, 513, 840, 6570, 269, 769, 1312, 2665, 267, 621, 6920, 9668, 610, 771, 28947, 563, 1432, 568, 519, 3017, 1063, 717, 4953, 543, 4991, 888, 4322, 1079, 2474, 2097, 689, 519, 8231, 968, 1729, 1205, 1848, 24511, 267, 968, 1326, 892, 543, 968, 12033, 892, 616, 1031, 538, 519, 2241, 1459, 13029, 269, 1306, 621, 568, 267, 6466, 968, 12033, 892, 568, 519, 3791, 1268, 13737, 540, 519, 2241, 1459, 13029, 267, 968, 1326, 892, 593, 519, 824, 1688, 267, 666, 581, 513, 13737, 8231, 610, 513, 12683, 8231, 1759, 593, 519, 2796, 538, 799, 621, 568, 1031, 563, 1432, 1281, 1205, 909, 543, 979, 1611, 888, 24479, 267, 5397, 14240, 540, 1205, 5346, 7146, 30559, 2433, 1648, 267, 5397, 563, 9989, 1205, 909, 1611, 28459, 888, 763, 4214, 540, 513, 1205, 5346, 568, 606, 28459, 610, 28076, 602, 513, 1268, 568, 9849, 267, 610, 1164, 1648, 269, 1323, 1383, 540, 513, 1205, 5346, 568, 2576, 9849, 513, 19266, 622, 28076, 269, 1323, 1383, 540, 513, 1205, 5346, 568, 513, 1268, 945, 568, 12592, 547, 798, 1134, 538, 1931, 547, 1205, 15469, 563, 1432, 568, 533, 11170, 9579, 888, 281, 519, 2298, 540, 1373, 3078, 610, 10694, 281, 971, 607, 269, 513, 2433, 1350, 600, 712, 269, 536, 2433, 21755, 2631, 476, 272, 563, 8489, 1705, 596, 1205, 602, 1205, 909, 2495, 888, 2108, 7476, 909, 547, 1341, 1945, 892, 568, 513, 3703, 543, 13016, 4082, 269, 898, 1175, 1797, 968, 4777, 1945, 1848, 1924, 968, 1432, 1705, 596, 1205, 909, 547, 892, 1797, 968, 1432, 1705, 596, 798, 9495, 12344, 707, 3659, 4941, 547, 2307, 596, 827, 875, 596, 6170, 707, 1863, 942, 543, 849, 22466, 827, 519, 1964, 540, 621, 563, 1432, 568, 519, 2236, 29569, 8231, 540, 1205, 909, 888, 3080, 568, 1205, 909, 267, 952, 596, 2461, 9361, 1524, 267, 952, 596, 2461, 14084, 1524, 543, 2576, 3081, 281, 968, 7476, 909, 5608, 621, 1797, 281, 1796, 909, 267, 1796, 269, 5192, 1055, 519, 6989, 267, 1205, 1055, 519, 11381, 267, 8726, 269, 968, 7476, 909, 892, 849, 1797, 547, 1205, 21039, 538, 513, 1978, 1259, 563, 1692, 798, 596, 798, 909, 543, 979, 1449, 888, 763, 7033, 539, 5455, 543, 3619, 1449, 630, 307, 308, 294, 264, 568, 513, 2241, 1449, 1031, 547, 2708, 513, 1268, 779, 10688, 543, 3340, 1312, 11979, 543, 6422, 3666, 269, 898, 3096, 519, 942, 602, 513, 1268, 3217, 547, 4473, 689, 513, 11381, 267, 3802, 1614, 7397, 267, 2490, 1472, 267, 3802, 1394, 547, 519, 11381, 267, 543, 1694, 1524, 269, 0, 2414, 2569, 519, 1981, 540, 4598, 547, 519, 5046, 268, 866, 3644, 267, 10199, 835, 21017, 540, 519, 1977, 4074, 3196, 814, 1044, 2324, 689, 1753, 269, 5600, 3835, 24723, 723, 849, 4957, 13497, 267, 10452, 1312, 519, 2530, 540, 4747, 543, 4616, 3255, 267, 543, 513, 6521, 4724, 7622, 2504, 269, 16952, 942, 543, 4616, 693, 1753, 3340, 1713, 4679, 538, 5201, 4616, 269, 901, 4564, 606, 3606, 543, 1898, 13258, 693, 513, 942, 602, 1082, 10820, 616, 849, 7680, 4049, 2804, 27465, 563, 8794, 1239, 602, 2488, 5662, 569, 10821, 5201, 4616, 538, 7147, 267, 2059, 609, 1776, 10471, 602, 5359, 10865, 4616, 540, 5201, 676, 6075, 1362, 630, 637, 7808, 267, 5010, 267, 543, 4853, 264, 585, 1034, 772, 2529, 269, 20848, 267, 519, 2278, 1336, 602, 519, 2333, 538, 10821, 4616, 14687, 609, 1346, 4600, 2111, 547, 960, 689, 1753, 269, 4746, 267, 1247, 8375, 13864, 568, 9244, 2404, 609, 5010, 543, 4853, 5201, 23229, 267, 621, 568, 4617, 569, 2404, 609, 10821, 4679, 269, 6348, 268, 24207, 1870, 5008, 999, 798, 711, 723, 19250, 1713, 5222, 593, 6165, 3564, 519, 1463, 1761, 7694, 2360, 563, 10702, 267, 519, 2278, 9060, 602, 519, 2333, 538, 10821, 4616, 568, 711, 1455, 538, 2804, 15125, 5281, 282, 585, 1383, 267, 621, 1705, 711, 2049, 1282, 519, 4279, 1234, 20896, 269, 3245, 4989, 547, 5147, 476, 1708, 271, 267, 1977, 10820, 6170, 5176, 1269, 277, 5479, 538, 4430, 10821, 5201, 4616, 269, 24542, 12014, 941, 936, 1269, 736, 270, 24629, 2362, 593, 3328, 585, 20848, 7674, 835, 1922, 604, 628, 540, 2475, 10820, 269, 901, 2799, 18820, 6971, 519, 2121, 2640, 540, 2324, 689, 1753, 2404, 609, 1447, 862, 5024, 543, 4824, 2825, 2298, 269, 1306, 4853, 543, 5010, 2534, 973, 13569, 267, 2324, 689, 1753, 814, 519, 1761, 547, 2333, 5434, 689, 519, 1379, 5823, 593, 2121, 269, 769, 519, 1482, 1259, 602, 10053, 4872, 616, 811, 1648, 3608, 982, 1016, 31755, 267, 621, 3340, 811, 1648, 547, 3002, 543, 3579, 3003, 5321, 982, 519, 13646, 543, 3506, 269, 0, 1607, 3296, 568, 689, 519, 1433, 834, 303, 24411, 10791, 7497, 2060, 7981, 13129, 1677, 10791, 769, 8376, 2580, 676, 5261, 16500, 2006, 16399, 269, 4746, 2139, 689, 8835, 281, 19750, 10791, 7497, 609, 7981, 13129, 547, 10791, 538, 8376, 563, 7628, 519, 8884, 540, 519, 2034, 1974, 705, 622, 618, 540, 519, 8611, 543, 540, 519, 23441, 16698, 949, 16153, 540, 513, 2370, 29454, 1373, 3144, 676, 519, 7181, 269, 2368, 2550, 9156, 1510, 8429, 883, 519, 3791, 1974, 267, 855, 1317, 1082, 798, 711, 267, 3665, 13657, 1590, 581, 4767, 543, 1426, 267, 952, 3144, 693, 782, 267, 1590, 581, 538, 1360, 8792, 9424, 269, 634, 1482, 3652, 538, 2543, 547, 2732, 543, 8102, 1218, 4019, 547, 519, 3791, 1974, 799, 723, 1044, 11311, 585, 519, 1101, 267, 543, 519, 1292, 16126, 585, 29454, 1058, 581, 998, 6439, 531, 620, 2939, 566, 269, 1879, 519, 1612, 2135, 903, 332, 568, 936, 543, 519, 2589, 723, 705, 730, 267, 519, 6574, 1416, 1590, 1869, 581, 27361, 538, 2543, 547, 2732, 1256, 952, 519, 3461, 568, 17237, 267, 607, 3006, 4523, 269, 769, 519, 10782, 2665, 1100, 4396, 1426, 1058, 581, 15868, 585, 693, 2547, 4557, 2395, 610, 513, 6830, 9519, 267, 543, 621, 1590, 581, 15422, 602, 14603, 882, 22663, 723, 1044, 10511, 18469, 676, 711, 11287, 713, 4341, 269, 1879, 519, 13481, 543, 3134, 580, 770, 878, 1928, 723, 30403, 267, 3368, 14482, 5684, 3019, 995, 610, 23188, 995, 13066, 949, 581, 2016, 2899, 538, 19939, 3764, 540, 3443, 920, 268, 11294, 2213, 5144, 267, 737, 537, 332, 1170, 267, 17389, 15927, 781, 610, 27223, 781, 5779, 1349, 267, 476, 5367, 3819, 13084, 27158, 267, 610, 1434, 10910, 710, 9174, 563, 2252, 971, 3536, 616, 17477, 267, 789, 949, 581, 4553, 1310, 930, 3108, 676, 513, 1906, 22635, 995, 338, 540, 20399, 14132, 10433, 267, 2892, 1540, 267, 543, 2663, 1869, 676, 3636, 267, 16138, 5109, 14132, 2156, 2195, 267, 9269, 2156, 2195, 267, 27615, 1564, 267, 610, 855, 3410, 20488, 269, 29918, 6819, 610, 8770, 679, 324, 2173, 1092, 1058, 1869, 581, 10288, 267, 1317, 538, 519, 2038, 5933, 540, 598, 1998, 525, 12412, 519, 7181, 786, 711, 20496, 782, 519, 1426, 799, 519, 791, 1478, 1639, 8031, 2154, 269, 7102, 3134, 580, 770, 878, 3505, 1145, 610, 11605, 267, 610, 1119, 332, 3966, 2572, 267, 1058, 581, 9833, 607, 513, 9963, 267, 543, 1426, 1058, 581, 1586, 609, 18988, 2394, 519, 7411, 568, 22621, 676, 1884, 659, 1749, 610, 30624, 1069, 523, 2389, 2510, 563, 2005, 568, 547, 581, 7074, 602, 1453, 2356, 2154, 6439, 531, 8023, 543, 14242, 1256, 4505, 982, 4079, 269, 14066, 13066, 540, 1566, 1756, 2016, 547, 5351, 519, 12802, 540, 8770, 610, 18398, 679, 655, 1092, 1058, 581, 14284, 593, 2272, 540, 519, 12402, 547, 21109, 540, 10729, 269, 769, 7646, 2665, 267, 1310, 2185, 610, 2947, 2395, 267, 543, 538, 4049, 2665, 1310, 513, 6830, 9519, 267, 4396, 1426, 949, 581, 12212, 2016, 267, 862, 9760, 609, 5144, 3562, 770, 267, 11523, 619, 267, 22938, 564, 543, 8645, 8169, 731, 267, 2484, 2088, 543, 23017, 610, 2156, 6150, 9269, 267, 2571, 2275, 10541, 5798, 267, 9174, 21297, 267, 23017, 7573, 267, 16150, 539, 14132, 267, 543, 2147, 29454, 563, 293, 21209, 543, 5388, 1058, 711, 581, 4847, 585, 1896, 4374, 269, 0, 298, 520, 27444, 666, 1869, 5873, 873, 269, 2701, 6013, 1524, 593, 1200, 5127, 267, 3843, 547, 13104, 9887, 689, 1200, 28749, 269, 1809, 789, 616, 29287, 563, 18658, 568, 4636, 609, 596, 9495, 519, 1744, 877, 20599, 695, 8083, 693, 1200, 563, 763, 17520, 20599, 669, 1307, 538, 281, 968, 2252, 596, 1256, 3801, 547, 5397, 267, 596, 786, 581, 538, 606, 8009, 1586, 267, 2523, 952, 596, 5397, 4805, 610, 952, 596, 979, 2250, 602, 10167, 1141, 621, 5949, 269, 898, 779, 10691, 2922, 28461, 763, 811, 15576, 27444, 13290, 547, 12404, 689, 873, 267, 519, 21514, 1457, 519, 28749, 1831, 269, 901, 11148, 547, 581, 519, 2013, 585, 513, 2603, 540, 2352, 3929, 2833, 269, 8347, 532, 547, 1852, 938, 2833, 568, 513, 9561, 6370, 269, 1306, 649, 4718, 538, 3184, 476, 273, 267, 519, 811, 649, 2119, 547, 1852, 610, 2057, 938, 4555, 610, 4664, 267, 519, 811, 2693, 649, 616, 547, 1995, 873, 563, 2080, 779, 513, 25064, 1383, 269, 594, 1131, 899, 596, 547, 4952, 513, 11909, 27033, 1941, 267, 6148, 835, 602, 5654, 513, 2370, 3787, 899, 519, 835, 593, 519, 1985, 2985, 269, 2052, 596, 14650, 621, 286, 2052, 596, 1294, 922, 11909, 1560, 267, 922, 11909, 812, 324, 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 ]
[ 949, 991, 513, 1973, 1449, 547, 2638, 707, 9449, 2157, 563, 30342, 610, 1373, 7210, 454, 30342, 610, 1373, 7210, 568, 2356, 1134, 6417, 609, 4550, 19210, 11955, 269, 898, 1522, 948, 547, 2057, 9761, 610, 22304, 3536, 267, 3548, 1507, 6980, 543, 16152, 543, 1491, 2834, 521, 2354, 540, 1216, 269, 4039, 1314, 566, 2553, 1522, 849, 948, 563, 2005, 568, 1271, 547, 1491, 4550, 19210, 11955, 607, 11311, 1256, 952, 596, 1810, 1406, 1745, 7210, 269, 898, 568, 4443, 547, 2061, 19210, 2864, 982, 1521, 621, 2899, 621, 814, 3323, 563, 1103, 25691, 1472, 519, 13297, 3135, 454, 307, 749, 707, 12016, 952, 596, 5469, 1022, 4191, 540, 25017, 610, 16698, 1472, 519, 13297, 3135, 563, 30999, 553, 1308, 2427, 2360, 454, 4322, 2427, 2360, 4755, 538, 1063, 476, 272, 543, 476, 1015, 856, 540, 1169, 476, 1911, 1004, 630, 24992, 476, 272, 543, 476, 1015, 22103, 1411, 1522, 723, 835, 610, 811, 540, 873, 269, 1358, 1331, 912, 268, 2242, 547, 9449, 2157, 538, 707, 1560, 454, 268, 2242, 547, 519, 30783, 14189, 799, 666, 1860, 875, 1134, 621, 1568, 454, 268, 7244, 2042, 1107, 2589, 1331, 26032, 540, 7362, 543, 513, 11522, 454, 268, 14331, 543, 21994, 1107, 1289, 707, 5796, 1899, 952, 596, 723, 891, 2589, 454, 268, 6553, 540, 519, 15108, 1107, 10355, 596, 949, 1020, 606, 22377, 610, 8559, 538, 519, 15108, 3774, 630, 704, 1721, 566, 994, 268, 695, 1853, 532, 630, 577, 1571, 264, 610, 2770, 6438, 2589, 454, 268, 1970, 2157, 540, 2699, 1973, 2281, 630, 3570, 8598, 264, 1107, 596, 1522, 1745, 13110, 267, 2110, 540, 7362, 543, 1413, 12779, 454, 268, 1928, 538, 519, 1858, 540, 707, 2860, 267, 6084, 3240, 267, 10549, 267, 7633, 267, 610, 6091, 454, 268, 2242, 547, 519, 2157, 540, 6886, 538, 707, 1560, 1107, 596, 723, 1973, 4255, 547, 2638, 713, 454, 268, 711, 2614, 5714, 538, 707, 1560, 630, 1372, 5139, 1674, 994, 268, 4743, 11821, 454, 268, 31018, 267, 32688, 543, 1928, 538, 707, 3946, 543, 3952, 454, 268, 3750, 2042, 1519, 23324, 5075, 543, 1928, 910, 2995, 707, 4387, 2786, 2476, 952, 1022, 2042, 609, 707, 32416, 454, 268, 1970, 1973, 2604, 1107, 596, 949, 1745, 546, 714, 5414, 267, 1769, 20243, 267, 610, 949, 25861, 454, 268, 23551, 2287, 540, 707, 3068, 543, 8405, 630, 4148, 5241, 1070, 4743, 3636, 630, 14653, 23574, 1070, 610, 3781, 4418, 1846, 454, 268, 11702, 689, 707, 7181, 610, 15108, 454, 268, 3679, 17406, 454, 268, 6797, 2242, 602, 616, 13603, 909, 593, 1973, 4255, 910, 1289, 707, 5796, 1899, 952, 596, 723, 5835, 532, 540, 519, 2960, 610, 4064, 630, 329, 16184, 823, 1070, 4158, 10729, 610, 1928, 593, 707, 1318, 2427, 540, 6084, 3240, 454, 268, 4552, 2530, 610, 30034, 267, 10355, 707, 4552, 949, 1689, 7990, 454, 268, 4887, 838, 553, 916, 543, 1447, 4122, 4887, 1000, 26677, 610, 28478, 6362, 454, 268, 5714, 1628, 909, 4929, 11926, 538, 519, 1560, 630, 334, 539, 9047, 994, 268, 2597, 2530, 454, 268, 15319, 5023, 630, 332, 1075, 657, 531, 6553, 994, 305, 732, 2427, 2360, 454, 1607, 2427, 2360, 4523, 538, 7864, 982, 476, 272, 538, 476, 1911, 1004, 630, 325, 1168, 518, 982, 476, 272, 22103, 1411, 1522, 723, 835, 610, 811, 540, 873, 269, 1358, 1331, 912, 268, 2799, 1981, 540, 3968, 602, 666, 581, 1272, 17116, 1107, 2589, 1522, 1331, 8611, 267, 11522, 267, 17808, 610, 2196, 5500, 9224, 267, 543, 15677, 454, 268, 513, 3978, 5114, 547, 606, 3968, 910, 4191, 666, 1331, 4743, 1360, 796, 6202, 267, 711, 8429, 10729, 267, 1373, 7210, 267, 513, 1360, 1164, 610, 1360, 1970, 2837, 610, 695, 1853, 532, 910, 3346, 707, 5796, 1899, 2786, 2476, 952, 596, 723, 1022, 540, 891, 2589, 454, 268, 513, 3978, 3968, 547, 519, 6418, 16298, 540, 707, 6084, 3240, 454, 268, 6553, 540, 8031, 8720, 519, 2634, 543, 11983, 10260, 630, 848, 10364, 23971, 4345, 264, 910, 2589, 1522, 1331, 8611, 267, 14331, 267, 8405, 1928, 610, 20765, 267, 4743, 610, 1373, 7210, 610, 8417, 547, 1769, 454, 268, 519, 4761, 1062, 22215, 519, 8401, 1062, 630, 10817, 650, 664, 5174, 19128, 6794, 264, 910, 4929, 31018, 267, 8467, 543, 1928, 538, 519, 1560, 454, 268, 1970, 6676, 7410, 799, 1797, 596, 949, 20015, 1047, 543, 18053, 3362, 454, 268, 606, 13027, 5114, 602, 666, 2014, 513, 16420, 267, 26032, 540, 7362, 267, 25017, 610, 11926, 540, 519, 3068, 543, 21994, 454, 268, 2042, 609, 519, 2634, 1519, 11926, 454, 268, 6553, 540, 2694, 540, 707, 1560, 1519, 519, 1973, 8043, 267, 6797, 267, 9641, 267, 14401, 610, 18558, 454, 268, 1164, 2157, 540, 6464, 538, 707, 1973, 1813, 547, 519, 15059, 540, 6084, 712, 2281, 630, 339, 636, 712, 561, 1736, 6794, 264, 910, 596, 723, 2834, 1973, 4255, 547, 2638, 585, 713, 454, 268, 7099, 2242, 267, 4743, 20158, 267, 610, 2530, 540, 1719, 538, 3023, 454, 268, 2042, 609, 11558, 267, 4633, 543, 3666, 454, 268, 4887, 13888, 2287, 610, 4887, 8467, 454, 268, 606, 9402, 2295, 10726, 454, 268, 2042, 609, 707, 1973, 8043, 1519, 6553, 610, 1973, 6077, 5394, 2287, 454, 268, 7181, 22377, 1107, 2589, 1331, 1928, 267, 3276, 4771, 267, 29463, 267, 543, 30724, 3878, 454, 268, 8459, 2042, 1107, 2589, 1331, 711, 890, 4370, 2614, 267, 8572, 547, 890, 324, 630, 4958, 1549, 1070, 8429, 1973, 267, 610, 10539, 454, 268, 5712, 16069, 630, 29546, 27695, 994, 290, 14563, 609, 2427, 2360, 454, 2171, 723, 811, 1344, 827, 2427, 2360, 543, 4388, 593, 875, 547, 11883, 609, 873, 563, 1432, 3116, 798, 594, 991, 547, 917, 888, 8448, 11955, 267, 3536, 543, 4235, 454, 4692, 1356, 5061, 666, 2170, 609, 11955, 267, 16909, 2472, 267, 543, 930, 1426, 543, 10425, 269, 1284, 616, 8572, 547, 1592, 782, 519, 2009, 4205, 602, 949, 4755, 269, 1323, 1383, 568, 18812, 26258, 610, 18812, 26258, 10433, 799, 666, 2333, 519, 2427, 2360, 540, 1978, 5061, 563, 307, 749, 707, 3782, 2319, 827, 1022, 11955, 596, 616, 2921, 269, 901, 2882, 8324, 267, 16909, 9360, 543, 936, 519, 4831, 14319, 269, 4746, 1577, 873, 917, 827, 1022, 824, 2564, 2175, 610, 11959, 596, 949, 723, 563, 303, 27389, 3599, 543, 15333, 4003, 454, 2005, 568, 7164, 2436, 2126, 949, 610, 949, 711, 2800, 513, 4816, 3384, 538, 519, 27042, 269, 898, 568, 1271, 711, 547, 1831, 9176, 610, 1205, 2576, 9176, 1247, 596, 616, 2348, 2126, 269, 2913, 707, 2319, 917, 2786, 2476, 952, 596, 610, 707, 7649, 1831, 9176, 1247, 2348, 2126, 563, 307, 1779, 547, 707, 4387, 610, 12016, 827, 2500, 15333, 4003, 596, 666, 946, 1282, 2126, 269, 9105, 875, 1279, 596, 1058, 946, 621, 1354, 4358, 2126, 543, 1310, 2126, 814, 8737, 563, 2005, 568, 711, 1634, 2436, 713, 2126, 5540, 12680, 538, 1004, 269, 13185, 547, 707, 4387, 1354, 4358, 2126, 952, 596, 1589, 596, 949, 1616, 547, 723, 513, 4816, 538, 519, 2104, 563, 2005, 568, 711, 1634, 2436, 713, 3075, 2501, 998, 883, 519, 6089, 5144, 269, 24930, 2356, 18973, 602, 596, 1810, 1406, 6089, 12890, 1282, 713, 2126, 563, 21675, 585, 824, 2175, 454, 2252, 596, 616, 2348, 4255, 610, 2126, 585, 4376, 3116, 267, 2141, 2446, 707, 2860, 2126, 269, 1280, 1383, 267, 952, 596, 616, 9683, 707, 11290, 563, 10673, 1406, 723, 6375, 31907, 609, 2661, 10074, 1247, 596, 2461, 2348, 2126, 543, 585, 909, 547, 476, 1321, 3275, 19952, 269, 634, 3259, 540, 942, 5673, 593, 519, 2126, 596, 616, 2348, 269, 9105, 707, 4387, 610, 14278, 626, 875, 1279, 596, 1058, 2057, 2661, 25750, 563, 1103, 519, 5177, 267, 2661, 10074, 1331, 6299, 7578, 267, 544, 7927, 267, 27330, 267, 7460, 294, 267, 5835, 8611, 543, 835, 540, 519, 30133, 10074, 1572, 2098, 739, 822, 1314, 563, 2791, 666, 723, 912, 268, 824, 10074, 267, 855, 789, 1522, 711, 2285, 596, 607, 1454, 4027, 607, 8912, 454, 268, 519, 2770, 6669, 630, 553, 606, 13297, 994, 268, 519, 11452, 630, 26542, 268, 866, 264, 6669, 910, 2911, 547, 707, 4387, 610, 14278, 626, 827, 519, 1655, 942, 547, 723, 621, 538, 6935, 547, 707, 2860, 2126, 454, 300, 20047, 540, 707, 7622, 945, 616, 9907, 476, 276, 1296, 610, 936, 616, 849, 2111, 547, 723, 519, 5046, 268, 866, 6669, 269, 901, 568, 547, 948, 2539, 707, 1981, 540, 3478, 5046, 268, 866, 1247, 2348, 2860, 2126, 543, 2394, 707, 454, 23086, 609, 1866, 945, 723, 1185, 6375, 31907, 910, 1411, 666, 581, 538, 3346, 609, 824, 1004, 945, 723, 1185, 2661, 10074, 607, 24409, 269, 3680, 2673, 3346, 609, 1004, 945, 723, 5063, 1185, 2661, 10074, 3144, 676, 5023, 630, 7394, 10074, 264, 971, 607, 519, 5711, 27193, 1355, 6669, 269, 6884, 1004, 945, 723, 1185, 519, 2661, 30133, 6669, 666, 1205, 513, 30133, 1826, 16420, 269, 1403, 713, 4523, 789, 1058, 1832, 519, 1858, 4988, 563, 2252, 707, 4761, 1062, 568, 16094, 18604, 267, 596, 1058, 2057, 3346, 609, 1453, 945, 723, 1185, 519, 2770, 6669, 607, 513, 17725, 10936, 607, 713, 568, 513, 2661, 6669, 269, 901, 568, 585, 476, 273, 4374, 1739, 741, 12674, 563, 289, 28320, 723, 519, 2661, 4232, 8785, 6669, 269, 634, 3644, 568, 538, 519, 4816, 779, 1093, 334, 585, 827, 476, 273, 4374, 543, 1223, 1118, 596, 2192, 952, 707, 12046, 568, 1970, 269, 5192, 2576, 3116, 547, 1689, 741, 562, 1952, 625, 1282, 713, 942, 952, 596, 666, 269, 1403, 713, 3884, 1405, 2009, 267, 11547, 707, 3946, 1134, 1310, 4657, 741, 562, 7026, 563, 5415, 1344, 827, 713, 2126, 454, 2690, 2417, 1344, 827, 713, 2126, 543, 2009, 2427, 2360, 979, 547, 519, 5907, 5709, 1149, 3281, 754, 1756, 630, 324, 10157, 264, 3896, 269, 1411, 666, 1265, 519, 3461, 1344, 6978, 2280, 593, 713, 3896, 563, 2791, 666, 1867, 1022, 2427, 1198, 596, 723, 547, 519, 5709, 1149, 2657, 543, 27943, 16958, 630, 300, 295, 6938, 264, 607, 851, 540, 741, 14117, 9315, 30868, 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 ]
[ 945, 1995, 6379, 610, 10867, 2530, 3442, 547, 946, 519, 2165, 968, 1778, 11312, 4816, 892, 610, 15597, 2671, 741, 2833, 269, 717, 4361, 568, 513, 7184, 2123, 1184, 267, 543, 2043, 11883, 609, 2530, 538, 1114, 2081, 563, 14454, 267, 513, 22774, 4816, 4564, 519, 4126, 543, 8788, 602, 666, 10836, 689, 519, 14334, 540, 2530, 269, 898, 26549, 519, 3965, 540, 519, 1126, 945, 814, 5293, 2476, 1247, 14120, 519, 1007, 1272, 602, 6770, 7772, 543, 2648, 547, 20494, 1324, 3237, 269, 1635, 14344, 543, 5885, 3237, 1282, 741, 3460, 547, 30822, 11856, 267, 519, 1523, 540, 513, 22774, 4816, 11942, 8296, 267, 6568, 267, 543, 1620, 1369, 2950, 7231, 609, 2530, 543, 26983, 269, 0, 1103, 519, 7706, 540, 1753, 5826, 267, 32072, 24422, 723, 22734, 513, 13710, 4720, 7064, 547, 5969, 12967, 4066, 269, 3245, 19025, 865, 2130, 1657, 547, 8143, 9196, 13031, 6456, 2152, 267, 891, 7760, 723, 18534, 9464, 519, 5251, 540, 8122, 10526, 269, 901, 2376, 12538, 883, 519, 1909, 540, 2029, 538, 2413, 32072, 24422, 267, 3695, 519, 10124, 602, 3986, 6111, 543, 4398, 563, 763, 22547, 540, 667, 14772, 538, 10162, 1993, 532, 28018, 687, 454, 288, 518, 658, 30059, 281, 1215, 667, 14772, 3657, 21744, 519, 10794, 454, 291, 14772, 723, 7153, 607, 513, 3014, 7302, 9734, 538, 32072, 24422, 267, 3246, 513, 6177, 779, 31378, 2070, 540, 519, 3003, 8122, 1510, 519, 991, 585, 561, 5417, 619, 610, 21934, 13783, 269, 4256, 2702, 547, 6330, 9395, 5624, 543, 7001, 1164, 22822, 2592, 2636, 8524, 832, 547, 2697, 2152, 602, 1522, 581, 14406, 1282, 2757, 24422, 563, 292, 11797, 4414, 18249, 281, 674, 2120, 543, 6380, 518, 28018, 687, 454, 3080, 540, 519, 3119, 5383, 540, 20473, 29374, 24422, 568, 519, 3432, 693, 799, 10526, 666, 581, 5342, 269, 667, 14772, 9280, 609, 1164, 12413, 6873, 12514, 24847, 29906, 519, 8122, 267, 13830, 2143, 11052, 269, 901, 711, 1152, 5787, 919, 519, 14791, 1184, 855, 849, 6971, 519, 3106, 4220, 2404, 609, 8261, 31241, 641, 18362, 563, 8967, 31857, 519, 1133, 16308, 281, 17291, 26726, 10162, 1993, 28100, 454, 291, 14772, 9280, 609, 8143, 9196, 2029, 666, 3713, 2837, 7648, 593, 519, 8122, 779, 2627, 269, 901, 12588, 568, 15747, 538, 7114, 6456, 2152, 971, 607, 1216, 22467, 1674, 610, 13471, 10616, 269, 634, 8143, 2592, 1683, 3407, 4030, 267, 7175, 8524, 832, 547, 22942, 2127, 602, 949, 2154, 6251, 6514, 563, 307, 615, 7356, 24919, 281, 7629, 636, 3215, 10162, 1993, 532, 12983, 15332, 519, 17183, 454, 19741, 519, 715, 8898, 16685, 281, 1133, 557, 4979, 4427, 338, 16577, 10819, 454, 307, 615, 7356, 9196, 814, 1831, 513, 22294, 538, 2413, 32072, 24422, 267, 3850, 8524, 832, 547, 14650, 2837, 1114, 10118, 593, 519, 8122, 779, 2627, 269, 901, 2029, 568, 3226, 2500, 538, 7114, 7449, 16577, 2152, 267, 971, 607, 7509, 16290, 9944, 519, 32072, 2326, 610, 13471, 19518, 563, 15900, 24544, 281, 16473, 532, 4826, 28100, 6969, 898, 18521, 531, 919, 454, 3080, 540, 519, 1883, 2640, 540, 8143, 9196, 568, 922, 2702, 547, 3713, 7509, 13250, 1354, 621, 3587, 7298, 547, 519, 21736, 3750, 269, 1635, 7114, 2127, 609, 9402, 2837, 3270, 267, 8524, 832, 666, 22942, 1761, 1216, 3441, 543, 2232, 621, 30082, 267, 7303, 811, 3573, 543, 14427, 18203, 1524, 519, 1899, 563, 10574, 5937, 337, 1508, 17423, 5336, 1136, 281, 31514, 30059, 454, 307, 615, 7356, 9196, 12958, 1239, 11656, 5359, 602, 1683, 513, 3102, 7650, 540, 519, 8122, 779, 2783, 269, 901, 1239, 12454, 1935, 10597, 519, 8856, 540, 24422, 267, 3850, 585, 5483, 3375, 6194, 538, 2474, 540, 18203, 267, 5826, 267, 610, 1256, 8122, 10682, 269, 898, 16877, 21427, 609, 513, 2312, 1620, 540, 741, 8122, 779, 1072, 563, 18204, 7992, 5303, 585, 18043, 8178, 906, 454, 26239, 1458, 538, 11059, 281, 26157, 667, 14772, 543, 26365, 24919, 454, 763, 3020, 1379, 540, 2413, 32072, 24422, 6013, 538, 519, 5348, 1458, 540, 4066, 269, 26157, 19025, 585, 3308, 10526, 609, 8143, 9196, 585, 7449, 16577, 26129, 5932, 513, 3102, 14791, 1935, 269, 901, 512, 30802, 1935, 5849, 602, 1312, 7298, 543, 6456, 2152, 616, 9619, 267, 3246, 513, 11455, 2070, 540, 519, 8122, 779, 2783, 563, 18600, 6874, 830, 29362, 281, 25947, 9442, 609, 5851, 14935, 454, 3849, 9330, 906, 538, 2029, 5512, 8524, 832, 547, 1683, 1483, 6066, 4030, 547, 21427, 269, 667, 14772, 9280, 609, 2661, 3613, 3195, 532, 7207, 1450, 21427, 547, 12303, 13173, 8524, 832, 1282, 519, 4879, 269, 901, 12001, 1935, 11942, 20501, 2792, 267, 607, 8524, 832, 666, 1448, 856, 1808, 2127, 540, 6161, 538, 1483, 6066, 563, 21798, 7232, 11797, 281, 7665, 30093, 10025, 585, 5851, 14935, 454, 4407, 519, 3355, 5092, 538, 20473, 2029, 543, 8143, 9196, 949, 3100, 8101, 267, 519, 1279, 3856, 2640, 29387, 519, 3790, 269, 634, 4398, 540, 891, 4066, 6971, 519, 942, 2838, 585, 24422, 267, 3056, 547, 1942, 9806, 269, 5047, 267, 2038, 7020, 540, 2152, 24024, 519, 9276, 2404, 609, 3573, 18203, 602, 1267, 689, 32373, 539, 3441, 563, 7021, 5765, 12694, 543, 23496, 6452, 5596, 454, 9773, 12299, 543, 9751, 281, 23496, 6452, 23847, 11778, 454, 2414, 10244, 519, 2407, 1761, 540, 891, 4066, 267, 23363, 543, 2866, 616, 2629, 269, 28018, 832, 1590, 581, 1134, 268, 951, 539, 538, 5665, 19025, 543, 16208, 8143, 9196, 1239, 8308, 269, 2836, 12299, 5849, 602, 519, 3937, 2488, 6325, 2164, 267, 3850, 8524, 832, 547, 1118, 5483, 3664, 1759, 593, 5730, 1344, 563, 2171, 1430, 19047, 281, 19484, 12694, 454, 2171, 1430, 2175, 666, 1764, 519, 7145, 540, 20473, 29374, 24422, 269, 4400, 12798, 267, 4764, 267, 610, 3665, 5210, 949, 10460, 2591, 269, 1717, 267, 7760, 538, 20473, 2029, 3136, 547, 2232, 891, 4145, 267, 609, 4365, 15033, 19025, 4742, 811, 11342, 538, 519, 2344, 563, 763, 8892, 23721, 540, 10162, 1993, 532, 28018, 687, 454, 25369, 11106, 16949, 281, 4165, 4602, 908, 519, 8921, 13571, 1512, 454, 19185, 6619, 267, 519, 5610, 540, 5841, 4987, 630, 9590, 264, 538, 32072, 24422, 6585, 16854, 1761, 269, 3642, 6620, 666, 5659, 5318, 5666, 540, 1239, 689, 20473, 543, 8143, 9196, 24422, 267, 7114, 3270, 543, 17782, 1761, 2152, 269, 901, 14942, 1935, 1223, 22499, 875, 21427, 543, 8524, 832, 1935, 8122, 5826, 563, 16966, 2225, 585, 2353, 281, 10435, 5303, 32213, 454, 1103, 519, 6422, 5251, 540, 6639, 3356, 267, 972, 568, 513, 13447, 539, 4674, 547, 2327, 602, 519, 2640, 540, 2413, 32072, 14791, 2645, 616, 3015, 547, 3025, 269, 1452, 18129, 2832, 547, 24339, 520, 1125, 519, 946, 540, 4359, 4066, 267, 1818, 873, 3593, 7888, 543, 8537, 563, 3528, 28043, 519, 7934, 1063, 2930, 10848, 543, 1753, 26782, 10333, 267, 891, 7341, 7668, 2043, 540, 782, 2930, 10080, 547, 10244, 519, 3407, 4030, 6035, 676, 1533, 6361, 7308, 19603, 32072, 14791, 4066, 563, 6962, 281, 589, 25895, 6641, 21620, 585, 10162, 1993, 532, 26504, 454, 1103, 3932, 267, 519, 1909, 540, 2029, 538, 2413, 32072, 24422, 568, 513, 1623, 21620, 540, 5647, 267, 7393, 6111, 267, 4398, 267, 543, 1753, 26782, 2792, 269, 667, 14772, 543, 8143, 9196, 723, 1831, 16832, 2645, 267, 3246, 513, 31858, 25271, 543, 7449, 16577, 2070, 540, 22908, 269, 634, 5348, 1458, 540, 891, 4066, 711, 1152, 6908, 6050, 519, 14791, 1184, 855, 849, 16877, 21427, 609, 3407, 4030, 585, 5483, 3375, 6194, 563, 2026, 649, 1796, 593, 519, 524, 22273, 540, 3642, 5610, 267, 519, 2104, 14767, 1256, 811, 10427, 4485, 547, 32072, 10526, 267, 4180, 602, 5321, 2611, 14388, 538, 519, 3068, 540, 2479, 19145, 4365, 2175, 269, 16871, 891, 6639, 7760, 568, 711, 1175, 513, 20014, 4464, 282, 621, 779, 513, 7580, 1847, 4724, 32072, 6043, 543, 15325, 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 ]
[ 1148, 3610, 547, 2087, 10344, 2069, 269, 769, 713, 1982, 267, 681, 9926, 8065, 729, 519, 8655, 28579, 269, 634, 2140, 540, 519, 1767, 1982, 568, 1412, 21930, 1004, 267, 3059, 2029, 543, 11180, 2686, 6278, 3299, 799, 8694, 2394, 476, 1220, 273, 269, 898, 814, 6663, 540, 14027, 26278, 2029, 607, 1134, 607, 10128, 1697, 1620, 540, 1114, 4529, 538, 1148, 1568, 540, 519, 10344, 1053, 563, 289, 2084, 689, 891, 3254, 3646, 547, 2087, 10344, 2069, 267, 621, 666, 581, 1767, 602, 519, 1353, 540, 10344, 814, 7494, 6738, 936, 942, 267, 799, 2306, 621, 1256, 811, 4277, 585, 1762, 1004, 547, 1163, 895, 593, 269, 3245, 513, 2241, 8254, 267, 2221, 3059, 10344, 3217, 519, 1291, 538, 13830, 2592, 543, 1256, 5355, 7206, 15225, 269, 5047, 267, 519, 11556, 547, 5721, 10344, 3610, 711, 1152, 10953, 519, 1983, 540, 891, 23003, 267, 855, 849, 2982, 602, 7499, 13344, 543, 15421, 616, 711, 3411, 823, 547, 4483, 1702, 547, 1148, 1053, 269, 1703, 616, 2553, 543, 6436, 2877, 547, 581, 4294, 538, 10344, 2069, 899, 4876, 10092, 543, 1870, 2093, 269, 3245, 18340, 883, 1148, 960, 568, 513, 1360, 2182, 3364, 547, 798, 543, 606, 1148, 4116, 781, 6791, 568, 7494, 2877, 538, 891, 269, 3203, 4082, 1143, 1058, 979, 3564, 1018, 519, 2875, 12034, 543, 5000, 1010, 17017, 547, 1796, 585, 606, 3312, 1148, 610, 10344, 2856, 563, 288, 13151, 3307, 267, 2565, 4901, 540, 519, 5383, 543, 11393, 540, 891, 4485, 454, 4913, 267, 972, 568, 513, 1390, 7004, 538, 519, 5961, 540, 10344, 5049, 267, 621, 1869, 12217, 13915, 543, 9299, 2478, 689, 519, 1857, 267, 7245, 543, 519, 1053, 2933, 269, 2290, 2938, 19319, 540, 2413, 10344, 2069, 568, 602, 621, 568, 1932, 14427, 585, 1053, 547, 679, 1503, 538, 269, 9578, 267, 519, 3584, 616, 1034, 540, 519, 2053, 2147, 543, 796, 268, 13092, 269, 2201, 519, 824, 1688, 267, 538, 519, 2565, 1957, 540, 26304, 267, 13886, 834, 21930, 4658, 543, 22878, 2437, 646, 5018, 519, 5383, 540, 5355, 10344, 2069, 630, 1805, 534, 2917, 267, 476, 1220, 274, 1040, 1452, 616, 912, 19686, 1670, 769, 2102, 8462, 543, 16743, 910, 607, 851, 540, 519, 3853, 540, 3318, 26278, 2069, 267, 596, 666, 1265, 513, 1641, 593, 26278, 2930, 1852, 267, 799, 6227, 2127, 899, 8654, 267, 8254, 543, 7828, 267, 607, 1134, 607, 519, 2956, 540, 519, 9021, 540, 519, 3318, 23031, 538, 606, 1148, 960, 563, 321, 269, 22580, 267, 11120, 10949, 543, 25085, 618, 910, 538, 10344, 2069, 267, 5683, 9270, 616, 849, 1459, 269, 898, 568, 1498, 540, 7494, 538, 4058, 519, 6437, 543, 2773, 540, 782, 5933, 540, 1382, 269, 769, 713, 9114, 340, 267, 3450, 10344, 547, 1053, 1058, 581, 2111, 547, 5000, 873, 593, 11884, 11589, 741, 1378, 5784, 543, 1163, 895, 593, 891, 811, 269, 1717, 267, 513, 10344, 1362, 2829, 2312, 1018, 1412, 325, 516, 4520, 540, 4082, 262, 1797, 585, 1022, 1148, 3318, 610, 606, 4274, 23031, 269, 1403, 519, 2875, 814, 24835, 659, 885, 543, 2982, 22027, 593, 16208, 1010, 17017, 1148, 1568, 1287, 891, 1148, 1568, 2933, 786, 3100, 547, 1305, 6302, 610, 1256, 3625, 873, 689, 11589, 3312, 2093, 563, 26660, 543, 16214, 910, 634, 1034, 1271, 5413, 5018, 676, 26304, 568, 519, 6388, 540, 11826, 4441, 538, 22878, 2069, 269, 1261, 1767, 519, 1967, 540, 519, 6280, 3785, 6013, 538, 1934, 269, 634, 954, 5829, 2035, 540, 2298, 543, 2069, 1058, 581, 1163, 15903, 593, 676, 4081, 26639, 538, 6575, 543, 10344, 269, 5047, 267, 538, 519, 10344, 1184, 3294, 267, 519, 1377, 540, 2298, 568, 1360, 4105, 538, 2810, 519, 4502, 540, 606, 1148, 960, 899, 922, 3902, 543, 8366, 269, 8616, 267, 713, 2460, 568, 711, 513, 9243, 1523, 538, 10344, 269, 4653, 267, 811, 4081, 26639, 6444, 519, 1871, 540, 26278, 1382, 607, 513, 1587, 540, 519, 2146, 1148, 960, 269, 4112, 8724, 713, 811, 267, 519, 6268, 540, 1148, 1568, 17820, 7494, 8309, 547, 519, 1871, 540, 519, 1148, 960, 3294, 267, 13296, 519, 1148, 4648, 610, 4274, 21706, 267, 945, 616, 5411, 540, 713, 1148, 960, 267, 1058, 4225, 1018, 519, 2146, 786, 2161, 547, 1860, 519, 2298, 538, 519, 4611, 1587, 269, 901, 1152, 25040, 519, 8789, 15796, 10054, 538, 1148, 7071, 610, 10344, 2361, 269, 1284, 666, 2161, 1934, 602, 891, 1148, 4648, 610, 4274, 21706, 1847, 607, 513, 1412, 1260, 14032, 538, 519, 1184, 540, 8589, 5314, 262, 538, 3257, 741, 1148, 1568, 563, 28874, 585, 9085, 540, 4317, 3163, 3194, 454, 763, 3778, 540, 22878, 4065, 454, 303, 1643, 532, 593, 519, 1686, 540, 10344, 814, 711, 1044, 602, 3742, 538, 519, 3584, 540, 1533, 1382, 538, 2477, 269, 9747, 267, 621, 568, 711, 9670, 602, 26278, 5396, 262, 512, 4046, 13293, 593, 3652, 3544, 1018, 1148, 3507, 2209, 543, 13915, 2307, 585, 538, 2079, 10344, 269, 2368, 540, 891, 13915, 616, 519, 3203, 28743, 267, 5441, 3203, 5948, 267, 519, 3203, 4750, 267, 543, 824, 1974, 25025, 849, 1031, 676, 1148, 1053, 538, 1382, 269, 16480, 267, 519, 1353, 540, 10344, 3788, 3169, 538, 3515, 2173, 1385, 10999, 267, 1361, 10999, 543, 3069, 269, 9861, 513, 3735, 1260, 518, 547, 4081, 5238, 267, 519, 2361, 540, 10344, 729, 2016, 4332, 538, 519, 476, 2735, 271, 338, 267, 855, 609, 606, 13943, 2990, 607, 606, 4081, 1641, 543, 1978, 12699, 27900, 538, 519, 1857, 6429, 630, 301, 1157, 601, 267, 476, 1220, 272, 1040, 4438, 519, 1646, 540, 10344, 2069, 267, 23107, 543, 6280, 6030, 941, 2854, 2523, 547, 2232, 513, 9621, 909, 7146, 268, 5765, 16007, 538, 10344, 689, 25719, 1053, 609, 3853, 540, 3450, 2035, 267, 2810, 8560, 540, 26278, 2238, 899, 26847, 538, 15882, 543, 1433, 23194, 267, 543, 2344, 3255, 269, 17006, 547, 891, 267, 3450, 10344, 1058, 849, 581, 3324, 894, 540, 513, 2565, 1603, 593, 519, 1585, 2409, 540, 519, 1686, 540, 10344, 267, 2757, 1148, 3140, 4485, 543, 4644, 540, 26278, 5396, 543, 19825, 1148, 3507, 2209, 607, 1134, 607, 1857, 5784, 540, 10344, 269, 11374, 713, 568, 519, 1641, 540, 10344, 1686, 267, 13296, 519, 3584, 899, 634, 7502, 617, 542, 630, 310, 564, 17934, 264, 6713, 267, 16959, 17934, 22878, 267, 12634, 22878, 267, 667, 16331, 518, 516, 8040, 267, 2836, 8040, 267, 11660, 22878, 543, 25021, 24436, 616, 9619, 269, 1452, 616, 1018, 1715, 327, 718, 7125, 834, 1492, 9978, 16572, 257, 540, 10344, 269, 2552, 9009, 547, 713, 267, 519, 476, 619, 28739, 26728, 742, 4802, 1014, 1847, 11225, 476, 273, 4909, 2188, 1462, 4328, 10344, 538, 2474, 540, 1974, 267, 1469, 543, 2527, 269, 1452, 616, 519, 546, 16331, 518, 516, 9189, 543, 11977, 4639, 517, 781, 9995, 14480, 525, 607, 1134, 607, 10830, 781, 1608, 8040, 543, 2413, 23822, 906, 1031, 538, 20538, 12514, 563, 763, 12716, 834, 338, 577, 1143, 257, 3323, 676, 519, 8523, 23447, 1163, 15929, 2930, 1761, 885, 568, 513, 7986, 4806, 538, 10344, 1686, 269, 1703, 616, 9804, 7516, 543, 3114, 3344, 269, 932, 4923, 2553, 538, 10344, 25457, 14759, 538, 3252, 267, 15752, 267, 543, 4589, 4721, 267, 799, 5036, 11735, 6436, 689, 519, 1686, 540, 10344, 602, 814, 2596, 3853, 538, 1899, 609, 1875, 3613, 2774, 3140, 855, 12250, 3584, 269, 769, 713, 9114, 340, 267, 606, 519, 14266, 2046, 5305, 2899, 1767, 602, 267, 834, 527, 568, 519, 4126, 540, 519, 7467, 543, 540, 519, 27545, 7027, 602, 713, 14266, 786, 5512, 8436, 547, 1174, 519, 3741, 799, 723, 18170, 10344, 2094, 519, 9998, 2395, 543, 602, 621, 786, 6542, 519, 7207, 540, 519, 8254, 607, 513, 5420, 540, 4082, 1701, 634, 1469, 543, 2527, 540, 519, 7467, 540, 7073, 3203, 781, 8257, 540, 10344, 729, 1031, 538, 519, 1767, 8858, 563, 9558, 4146, 540, 22878, 2902, 14260, 454, 14112, 569, 2390, 519, 4332, 540, 10344, 267, 621, 814, 3262, 998, 856, 2477, 711, 1152, 607, 513, 1106, 540, 1148, 267, 855, 849, 607, 851, 540, 2069, 630, 288, 345, 9567, 599, 267, 476, 1220, 276, 1040, 3371, 616, 519, 8711, 540, 519, 1909, 540, 10344, 538, 519, 8608, 912, 2005, 814, 1831, 513, 6305, 18657, 1807, 538, 519, 10207, 540, 1514, 543, 2797, 1894, 540, 519, 1857, 543, 8128, 454, 2005, 814, 1044, 513, 1713, 851, 540, 519, 2729, 540, 1169, 1268, 563, 300, 4215, 12326, 538, 1114, 4610, 1031, 621, 865, 1454, 269, 6201, 616, 519, 4915, 267, 11356, 1867, 720, 267, 10883, 1440, 28619, 267, 6214, 267, 1920, 267, 9913, 267, 18883, 543, 2069, 563, 2005, 814, 1044, 1031, 11884, 543, 1305, 547, 1246, 1100, 9993, 676, 519, 1857, 563, 288, 1641, 540, 621, 666, 581, 4376, 269, 2986, 1576, 267, 27195, 10344, 538, 4108, 10851, 543, 824, 20583, 5624, 609, 16601, 3652, 563, 8448, 4610, 786, 946, 621, 607, 513, 10421, 899, 3961, 540, 6337, 585, 4013, 6054, 610, 2596, 1362, 11147, 563, 10376, 8254, 666, 7001, 519, 1158, 607, 513, 4605, 609, 519, 23649, 610, 3593, 607, 519, 1843, 540, 513, 8523, 610, 5784, 693, 11147, 563, 4910, 2700, 547, 6764, 1833, 1143, 543, 7849, 2065, 22878, 543, 519, 7353, 4919, 589, 20469, 454, 6097, 547, 606, 20822, 7376, 538, 513, 851, 540, 519, 7353, 4919, 8648, 543, 1977, 7353, 19212, 3370, 1282, 519, 476, 6642, 278, 267, 834, 763, 1599, 15116, 547, 10344, 568, 5168, 2275, 8091, 1145, 540, 1106, 7308, 1379, 540, 6721, 607, 6986, 513, 5299, 540, 2470, 781, 14592, 607, 666, 581, 267, 1510, 519, 1480, 2634, 543, 1688, 269, 1677, 713, 1439, 267, 1100, 7499, 5578, 568, 2838, 282, 10344, 568, 16876, 547, 519, 7182, 540, 606, 8097, 2257, 267, 543, 922, 2164, 666, 1152, 581, 1572, 4190, 538, 519, 1482, 2631, 602, 513, 27134, 609, 513, 8930, 998, 621, 568, 4190, 602, 568, 267, 23963, 865, 267, 543, 827, 607, 2484, 6569, 689, 1018, 949, 581, 1572, 7376, 1227, 4190, 607, 602, 27134, 568, 689, 922, 5449, 1582, 267, 9800, 543, 593, 519, 13617, 1701, 630, 306, 1181, 828, 613, 267, 476, 1220, 272, 1040, 901, 1498, 1152, 3081, 602, 10344, 1058, 581, 2067, 2065, 538, 2470, 267, 2495, 513, 2596, 8254, 666, 7001, 621, 849, 899, 1018, 513, 3059, 8254, 666, 798, 269, 769, 713, 2631, 267, 519, 1148, 3318, 610, 4274, 23031, 568, 519, 835, 3743, 547, 3442, 1010, 17017, 5420, 602, 1058, 581, 2111, 547, 5968, 811, 982, 519, 2241, 5168, 6888, 540, 519, 9676, 4605, 269, 634, 4170, 547, 581, 513, 1390, 7376, 6227, 513, 5578, 540, 10489, 2056, 2596, 834, 19817, 625, 2437, 799, 1058, 581, 513, 5420, 547, 11884, 2769, 1010, 17017, 5784, 543, 8300, 4715, 2209, 593, 2348, 513, 1272, 540, 922, 1378, 563, 2026, 728, 689, 2757, 7499, 3457, 267, 585, 606, 7376, 547, 581, 12021, 267, 646, 24172, 711, 1152, 1058, 1128, 559, 519, 8523, 609, 519, 2877, 7499, 1871, 267, 855, 849, 547, 3398, 543, 17908, 519, 1336, 2357, 529, 574, 559, 3363, 540, 10344, 607, 513, 1611, 547, 1265, 7499, 5168, 538, 1169, 4715, 1807, 269, 5047, 267, 4641, 538, 10344, 568, 7499, 4082, 543, 713, 568, 3006, 11821, 609, 513, 21568, 540, 2029, 602, 666, 581, 22801, 543, 10413, 519, 19206, 540, 519, 6074, 5420, 540, 1148, 960, 676, 519, 1148, 3318, 610, 4274, 23031, 269, 17006, 547, 713, 267, 621, 568, 849, 5156, 602, 713, 1148, 5420, 814, 519, 2702, 540, 3257, 834, 338, 2133, 21274, 2437, 799, 1869, 1058, 581, 6594, 543, 2919, 269, 769, 713, 9114, 340, 267, 519, 2856, 540, 513, 834, 5503, 3620, 517, 1819, 6240, 540, 14577, 938, 960, 547, 519, 1915, 540, 938, 2645, 543, 2326, 257, 616, 6026, 547, 1148, 1053, 609, 27606, 540, 1373, 1148, 4648, 610, 4274, 540, 21706, 269, 898, 568, 1271, 547, 917, 602, 513, 8523, 666, 2594, 23610, 1344, 269, 16700, 6748, 713, 2702, 666, 2285, 896, 4598, 610, 3983, 1445, 547, 4715, 2209, 267, 799, 616, 2164, 540, 538, 23024, 1466, 543, 1416, 16531, 610, 1860, 566, 563, 288, 17431, 540, 606, 1620, 540, 1382, 2409, 799, 616, 1031, 676, 1114, 4485, 454, 1103, 1931, 547, 2087, 519, 6437, 540, 10344, 2069, 267, 519, 26639, 4646, 6887, 547, 12167, 1382, 543, 1646, 585, 519, 1767, 2361, 540, 6575, 1353, 269, 769, 713, 9114, 340, 267, 2390, 8236, 741, 3853, 267, 519, 10344, 2875, 1058, 581, 2111, 547, 2744, 1007, 543, 4195, 4030, 538, 519, 6791, 540, 10344, 899, 8666 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1354, 519, 838, 625, 4682, 538, 267, 15584, 5795, 513, 1007, 2012, 547, 1010, 11537, 1167, 2118, 267, 26056, 269, 3571, 3312, 2012, 729, 670, 657, 9996, 267, 2495, 968, 338, 8491, 5608, 543, 713, 729, 4957, 547, 8786, 327, 9655, 7699, 267, 968, 3891, 786, 4688, 596, 6100, 681, 20076, 267, 1759, 593, 519, 13669, 31053, 267, 6941, 713, 547, 1611, 267, 968, 16673, 13201, 1335, 4688, 596, 689, 519, 9409, 8480, 540, 519, 838, 625, 6100, 17018, 515, 22509, 1177, 602, 8373, 729, 4947, 267, 610, 693, 519, 1360, 2547, 267, 519, 11999, 4220, 602, 971, 513, 22342, 5692, 1131, 27167, 269, 898, 7012, 1406, 607, 952, 646, 2219, 3388, 1131, 2490, 856, 5386, 269, 1261, 729, 865, 7255, 602, 646, 1256, 2808, 1010, 1167, 2118, 267, 26056, 267, 1522, 581, 2220, 26359, 676, 519, 2942, 5359, 540, 519, 824, 838, 625, 269, 1924, 1946, 1705, 646, 3858, 547, 621, 888, 3963, 1705, 717, 1673, 267, 13924, 1345, 267, 3858, 547, 621, 286, 1284, 1294, 2663, 538, 519, 2272, 540, 519, 838, 625, 22281, 539, 538, 519, 3883, 540, 1546, 17458, 16860, 267, 602, 519, 7662, 547, 6494, 838, 625, 3357, 689, 519, 1004, 269, 1656, 621, 729, 1152, 1310, 519, 1004, 1185, 2322, 538, 713, 7662, 602, 13201, 1335, 9583, 31045, 741, 3375, 267, 6031, 968, 306, 3559, 778, 682, 15939, 2507, 892, 1107, 968, 306, 754, 585, 707, 2383, 2507, 9731, 3963, 1705, 1312, 717, 1673, 543, 17018, 515, 1450, 519, 1004, 547, 6494, 519, 838, 625, 286, 17018, 515, 16143, 602, 713, 2856, 1131, 1439, 538, 9568, 269, 717, 1673, 6157, 6785, 602, 621, 1131, 1439, 538, 9568, 269, 1924, 1946, 1705, 789, 1450, 621, 888, 763, 1101, 851, 540, 519, 2626, 568, 3833, 6654, 1107, 1863, 3903, 269, 1403, 1863, 3903, 568, 1945, 1483, 543, 6209, 267, 1287, 2436, 519, 3903, 568, 519, 1318, 835, 610, 519, 4636, 835, 267, 621, 1590, 581, 4847, 547, 1796, 543, 581, 3144, 547, 922, 9266, 8753, 269, 1403, 519, 6014, 4658, 8359, 711, 547, 2322, 741, 5132, 543, 3972, 538, 717, 1673, 1107, 538, 519, 1249, 602, 1261, 1131, 948, 873, 20630, 519, 2244, 267, 543, 2327, 1018, 729, 2556, 547, 4755, 267, 5949, 1107, 1287, 602, 3903, 1185, 547, 1796, 269, 1403, 789, 4956, 547, 22342, 856, 519, 2244, 540, 5840, 585, 2933, 1107, 547, 1174, 519, 2470, 540, 519, 2244, 267, 519, 6830, 5874, 543, 519, 1004, 602, 17743, 972, 1107, 1287, 602, 729, 741, 3375, 269, 4634, 952, 621, 7152, 513, 3668, 540, 5132, 538, 717, 1673, 563, 4517, 602, 779, 1018, 1863, 3903, 568, 827, 269, 717, 1673, 3081, 267, 538, 1198, 281, 968, 2791, 1616, 547, 8399, 593, 602, 2619, 286, 3619, 6619, 1848, 901, 568, 519, 10565, 2956, 540, 1863, 3903, 1107, 717, 1673, 3947, 721, 519, 8116, 547, 585, 613, 938, 1378, 5837, 2619, 538, 1272, 267, 1256, 952, 602, 1797, 1818, 9073, 267, 543, 3006, 1360, 3978, 9073, 267, 609, 14042, 4539, 269, 634, 5108, 540, 519, 838, 625, 2760, 4718, 519, 2244, 540, 5840, 269, 1358, 6170, 17288, 1296, 29595, 538, 519, 9390, 269, 898, 7018, 593, 519, 3781, 540, 570, 22781, 645, 685, 13510, 799, 1185, 6286, 585, 5481, 547, 2097, 269, 634, 12161, 729, 21472, 269, 1809, 1863, 3903, 1797, 596, 616, 1863, 547, 1118, 9073, 1107, 543, 602, 596, 723, 547, 2661, 609, 519, 4539, 563, 305, 822, 17018, 515, 3171, 14852, 267, 835, 540, 938, 1390, 14558, 529, 540, 519, 14206, 2540, 267, 4485, 519, 2243, 689, 513, 5594, 1114, 5086, 269, 1261, 12134, 267, 1946, 568, 621, 602, 519, 1004, 26218, 5132, 538, 717, 1673, 286, 1452, 941, 519, 1482, 1004, 945, 1185, 14754, 519, 4557, 726, 8046, 543, 519, 24590, 540, 519, 4262, 269, 1358, 1185, 2938, 519, 812, 3534, 2887, 689, 13140, 269, 1358, 1185, 4862, 717, 1673, 779, 5639, 693, 6778, 31291, 328, 269, 1358, 1185, 2938, 782, 540, 713, 267, 543, 1631, 267, 10393, 267, 593, 519, 2357, 613, 540, 10024, 519, 2244, 267, 543, 11264, 519, 3803, 3942, 540, 741, 1390, 3460, 547, 25863, 267, 789, 1376, 547, 8969, 717, 1673, 286, 6182, 5896, 267, 972, 941, 13977, 835, 15438, 15194, 519, 2244, 540, 5840, 609, 12194, 727, 6830, 5874, 543, 513, 10795, 29916, 269, 1809, 15983, 789, 6785, 602, 952, 717, 1673, 1185, 16219, 873, 789, 1131, 20630, 519, 2244, 267, 1261, 1131, 5838, 593, 602, 9153, 286, 769, 519, 1482, 1259, 1261, 1185, 2366, 4557, 726, 8046, 547, 2736, 513, 2101, 1158, 1379, 899, 3504, 5527, 543, 519, 1522, 540, 3751, 31279, 779, 7952, 267, 15983, 717, 1673, 1131, 581, 2111, 547, 948, 873, 20630, 513, 2244, 609, 13977, 835, 15438, 286, 7316, 1705, 741, 3668, 540, 5132, 2097, 689, 888, 305, 822, 17018, 515, 3171, 14852, 14592, 513, 1360, 1271, 6240, 538, 1480, 2470, 269, 2353, 540, 519, 11240, 725, 789, 1185, 1044, 3051, 344, 547, 1185, 2097, 1932, 3362, 547, 873, 269, 898, 1185, 782, 1044, 19942, 547, 873, 593, 513, 6676, 269, 634, 4557, 726, 8046, 267, 519, 24590, 540, 519, 4262, 1107, 972, 729, 1100, 6560, 3238, 269, 1358, 22821, 1406, 5249, 621, 998, 2933, 269, 1656, 713, 568, 1480, 2470, 1107, 596, 723, 547, 960, 1945, 998, 3054, 267, 543, 6560, 609, 621, 543, 2731, 1589, 827, 621, 7184, 1354, 621, 3587, 513, 851, 540, 596, 563, 763, 5132, 540, 519, 6014, 4658, 693, 602, 942, 729, 1360, 21603, 282, 621, 729, 3908, 547, 519, 5132, 602, 8726, 717, 1673, 1185, 2944, 538, 519, 2250, 267, 646, 1185, 2944, 269, 1809, 972, 729, 1100, 5132, 646, 1223, 11320, 746, 798, 1022, 811, 269, 1656, 602, 779, 1946, 789, 6854, 593, 4152, 717, 1673, 538, 519, 9390, 269, 2986, 1576, 267, 789, 941, 1373, 7318, 676, 717, 1673, 269, 1809, 538, 741, 8186, 267, 789, 941, 4152, 717, 1673, 269, 1306, 952, 547, 2161, 267, 968, 6202, 717, 1673, 267, 616, 596, 2111, 547, 798, 713, 286, 3657, 596, 2111, 547, 798, 602, 9495, 4256, 5132, 729, 21603, 543, 13719, 1317, 621, 7012, 1406, 1945, 789, 8910, 5249, 998, 543, 17388, 609, 282, 621, 7012, 1406, 1945, 602, 1185, 1044, 3824, 11712, 883, 741, 20369, 3832, 267, 7471, 883, 741, 14789, 267, 694, 1563, 883, 741, 20339, 563, 19013, 267, 519, 1152, 1259, 547, 15052, 741, 5132, 729, 547, 1451, 621, 519, 2182, 1259, 269, 1656, 519, 1152, 1259, 547, 1451, 1945, 519, 2182, 1259, 568, 998, 513, 12161, 269, 717, 1673, 1185, 4061, 2016, 873, 519, 2230, 547, 1118, 519, 12161, 269, 1261, 1767, 267, 968, 306, 3559, 778, 682, 15939, 892, 1107, 6494, 707, 838, 625, 267, 2097, 1394, 609, 2942, 5359, 269, 5269, 519, 12161, 540, 711, 2469, 883, 519, 2244, 269, 1656, 1287, 689, 602, 12161, 707, 786, 581, 2620, 2989, 269, 1656, 602, 779, 1018, 5949, 269, 8056, 2664, 2299, 1310, 717, 1673, 5143, 873, 789, 941, 1373, 27052, 585, 711, 2348, 519, 5132, 547, 4283, 519, 2244, 267, 789, 3323, 547, 3956, 269, 1358, 1483, 2213, 602, 789, 1185, 1500, 513, 15265, 5470, 267, 855, 621, 729, 1932, 3735, 269, 1358, 1185, 547, 979, 998, 519, 1928, 543, 1184, 540, 1565, 1107, 29595, 17288, 1296, 538, 519, 9390, 267, 1034, 540, 799, 729, 6170, 18167, 883, 22560, 267, 10128, 10143, 7326, 267, 2679, 5132, 563, 1103, 513, 1259, 267, 547, 723, 8854, 2786, 883, 519, 2244, 540, 5840, 513, 1032, 1310, 519, 608, 21402, 689, 5527, 949, 723, 1044, 678, 5241, 1919, 269, 1677, 721, 621, 4667, 519, 3501, 1544, 729, 585, 873, 1175, 547, 3802, 538, 269, 1809, 24497, 17018, 515, 3171, 14852, 6941, 602, 952, 789, 1185, 9411, 5840, 693, 602, 1448, 621, 1131, 723, 1044, 693, 513, 1360, 21603, 1377, 540, 5132, 269, 1358, 1185, 547, 581, 2016, 519, 2230, 547, 1118, 519, 3903, 267, 547, 1118, 519, 12161, 282, 547, 2661, 676, 519, 4539, 540, 519, 12161, 267, 543, 547, 3398, 519, 10751, 282, 547, 1332, 543, 1174, 998, 713, 1184, 865, 602, 998, 942, 267, 31658, 543, 519, 1928, 540, 1995, 267, 741, 5132, 1131, 581, 2620, 2989, 563, 1607, 267, 538, 513, 2631, 267, 568, 1018, 1272, 568, 827, 269, 1284, 723, 547, 979, 998, 2591, 543, 7965, 543, 1950, 2833, 543, 538, 519, 1184, 540, 3257, 865, 267, 649, 15052, 938, 2078, 609, 717, 1673, 267, 543, 938, 5132, 538, 13924, 3587, 851, 540, 945, 649, 616, 267, 543, 711, 1945, 799, 568, 21603, 269, 1656, 621, 568, 998, 519, 1863, 3903, 602, 717, 1673, 3947, 721, 267, 543, 998, 1818, 9073, 267, 602, 649, 616, 2111, 547, 1287, 25580, 543, 12927, 543, 15052, 945, 649, 616, 563, 1607, 568, 1759, 593, 513, 8574, 538, 519, 13669, 31053, 538, 570, 847, 622, 23729, 8759, 593, 2985, 476, 277, 321, 267, 1141, 621, 5638, 519, 1739, 3948, 540, 15887, 6798, 962, 6308, 577, 752, 281, 968, 2252, 513, 1268, 6645, 596, 267, 2048, 296, 4076, 5249, 2182, 855, 1705, 711, 1265, 267, 1810, 1406, 3494, 1864, 282, 952, 646, 3081, 267, 2048, 296, 4076, 711, 5249, 2182, 855, 1336, 267, 1810, 1406, 3494, 1864, 282, 855, 952, 646, 3081, 2048, 296, 4076, 5249, 2182, 543, 1336, 267, 3494, 1864, 6100, 769, 519, 2796, 540, 938, 4901, 267, 1018, 713, 568, 6031, 568, 267, 513, 1268, 945, 3081, 789, 4769, 1406, 2322, 1022, 4674, 883, 2679, 741, 5132, 543, 883, 741, 22560, 1565, 543, 22560, 2713, 543, 2943, 1336, 1390, 5132, 543, 9355, 543, 6667, 543, 4287, 1107, 1810, 1406, 3494, 971, 513, 1268, 269, 2201, 519, 824, 1688, 267, 952, 513, 1268, 3081, 789, 723, 2322, 538, 519, 4674, 282, 789, 723, 547, 6150, 267, 17388, 267, 6594, 267, 1642, 1386, 267, 543, 3710, 513, 1483, 2078, 609, 717, 1673, 607, 513, 1267, 1107, 1287, 596, 666, 3494, 873, 269, 24511, 267, 519, 13669, 31053, 3081, 621, 779, 513, 10018, 1107, 952, 2576, 6645, 596, 789, 4076, 5249, 2182, 855, 723, 711, 16309, 267, 1810, 1406, 3494, 1864, 563, 3383, 649, 1294, 602, 519, 4674, 543, 519, 968, 325, 4193, 892, 616, 1079, 5011, 540, 519, 1482, 11777, 269, 1411, 723, 547, 960, 585, 1945, 538, 1931, 585, 621, 547, 1831, 851, 540, 945, 596, 616, 1107, 602, 568, 875, 596, 11753, 621, 269, 901, 6240, 12211, 547, 3388, 1107, 519, 811, 4674, 649, 2322, 2509, 1945, 267, 519, 4514, 649, 786, 1265, 938, 2078, 609, 602, 3364, 269, 898, 6157, 10039, 547, 954, 1790, 5966, 3347, 269, 24497, 18379, 344, 24660, 667, 612, 2401, 267, 1776, 835, 540, 938, 1390, 17024, 540, 519, 14206, 2540, 267, 568, 4583, 585, 11744, 602, 519, 6671, 7326, 827, 2648, 568, 11234, 269, 898, 779, 711, 519, 811, 596, 2648, 2576, 267, 519, 811, 596, 786, 2285, 547, 873, 269, 898, 779, 519, 824, 1259, 1472, 269, 634, 811, 596, 2285, 547, 513, 1268, 519, 811, 596, 786, 2648, 873, 269, 634, 811, 4674, 596, 1902, 538, 513, 2078, 1107, 538, 513, 7365, 267, 538, 707, 1453, 267, 538, 513, 11505, 1107, 519, 811, 596, 786, 1332, 7923, 269, 20306, 677, 568, 1018, 7472, 602, 2620, 13613, 563, 1607, 540, 1576, 10039, 547, 938, 2078, 609, 13201, 1335, 1107, 799, 568, 1946, 519, 6014, 4658, 267, 4171, 5132, 1185, 909, 2394, 1287, 1044, 19942, 547, 873, 593, 513, 6676, 267, 941, 711, 4712, 547, 979, 883, 519, 2244, 269, 1358, 1185, 711, 2943, 8854, 998, 519, 6560, 563, 305, 822, 932, 2727, 1744, 332, 2544, 341, 6308, 267, 519, 1390, 19257, 681, 9655, 8786, 327, 10216, 267, 524, 2572, 519, 2856, 602, 2687, 547, 13669, 31053, 545, 2245, 513, 2241, 1688, 30823, 523, 1459, 693, 519, 24590, 540, 519, 7256, 540, 1234, 2644, 1185, 513, 2362, 1377, 540, 13414, 540, 28897, 982, 519, 6574, 540, 28556, 538, 5481, 547, 2097, 269, 1809, 1018, 2968, 540, 713, 2527, 540, 1004, 945, 14754, 8237, 15798, 543, 1390, 726, 8046, 543, 519, 20429, 540, 717, 1673, 286, 1358, 8694, 909, 29595, 519, 9390, 267, 543, 4769, 1406, 3035, 3020, 30493, 2394, 621, 1223, 581, 7471, 563, 763, 1480, 1373, 814, 547, 2322, 538, 519, 4674, 543, 602, 779, 14356, 519, 7411, 649, 3068, 538, 519, 1158, 2221, 267, 1317, 2413, 2528, 568, 1360, 1454, 1759, 593, 8216, 11815, 2305, 269, 898, 779, 513, 7082, 626, 2528, 4171, 13821, 723, 547, 581, 13854, 5612, 269, 20306, 677, 543, 2182, 960, 616, 2556, 585, 3388, 1107 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 543, 630, 11133, 268, 272, 264, 4939, 6247, 269, 18853, 7728, 2652, 476, 271, 10778, 2018, 4971, 815, 6151, 17750, 2891, 14756, 356, 14756, 511, 418, 509, 354, 419, 506, 489, 31284, 260, 323, 14748, 13644, 371, 418, 490, 487, 7728, 2207, 27818, 18713, 508, 420, 377, 355, 24724, 8147, 20881, 478, 24731, 13644, 371, 27447, 24662, 336, 418, 490, 487, 18713, 508, 420, 377, 355, 281, 257, 4939, 6247, 269, 18853, 7728, 12467, 2018, 952, 4971, 2652, 1412, 336, 12466, 3546, 2736, 454, 1038, 1820, 834, 21588, 361, 260, 338, 14748, 27730, 13200, 509, 418, 488, 354, 12255, 260, 338, 5405, 479, 257, 4939, 263, 1598, 16325, 264, 2073, 1193, 22607, 3873, 21652, 548, 16325, 267, 11133, 19963, 267, 11133, 10734, 267, 11133, 6831, 4297, 2020, 3698, 554, 3873, 21652, 548, 16325, 267, 11133, 19963, 267, 11133, 10734, 267, 11133, 6831, 2187, 825, 2132, 1526, 15030, 16704, 272, 314, 271, 952, 1193, 16325, 1040, 22772, 19304, 16325, 19963, 4297, 13843, 476, 271, 3116, 7003, 263, 6247, 15030, 16704, 272, 2567, 316, 610, 1526, 15030, 16704, 272, 314, 11133, 260, 11133, 19963, 265, 6352, 263, 6247, 15030, 16704, 272, 2567, 281, 27994, 6247, 15030, 16704, 273, 314, 11133, 260, 11133, 10734, 265, 6352, 263, 6247, 15030, 16704, 273, 2567, 281, 316, 1341, 6247, 15030, 16704, 274, 314, 11133, 260, 11133, 6831, 265, 6352, 263, 6247, 15030, 16704, 274, 2567, 281, 316, 610, 1003, 16963, 3097 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13400, 2053, 891, 22827, 7074, 519, 3961, 267, 22871, 267, 543, 4567, 540, 741, 5411, 269, 769, 713, 2013, 267, 519, 22700, 540, 519, 4622, 269, 0, 20442, 1376, 519, 1153, 538, 5147, 4799, 9558, 3175, 281, 298, 9564, 11792, 4157, 694, 330, 565, 1695, 1019, 4439, 534, 7325, 328, 563, 2252, 713, 1797, 602, 649, 1376, 11504, 1153, 538, 5147, 972, 1058, 581, 1100, 1412, 1492, 8339, 898, 1058, 581, 1412, 933, 1376, 1153, 8339, 1412, 2171, 1376, 519, 1153, 262, 1797, 649, 616, 4259, 909, 513, 4625, 1007, 1153, 538, 5147, 563, 8133, 602, 781, 1318, 267, 602, 781, 519, 2495, 540, 519, 24414, 4845, 834, 330, 9564, 11792, 4157, 694, 330, 565, 1695, 257, 630, 11034, 11504, 1153, 1916, 2691, 24758, 519, 24414, 4845, 547, 2296, 267, 834, 933, 1376, 1153, 257, 568, 7608, 563, 296, 1810, 1405, 1616, 547, 1689, 519, 1699, 2296, 4845, 267, 1317, 594, 6415, 711, 2386, 952, 621, 786, 1860, 519, 824, 4245, 538, 519, 5578, 563, 3719, 713, 568, 3592, 513, 16798, 4413, 952, 596, 1294, 519, 7005, 4528, 543, 616, 4280, 547, 14377, 621, 547, 24414, 1354, 7487, 621, 519, 824, 1259, 269, 589, 5065, 2296, 10584, 568, 2469, 547, 581, 11821, 269, 594, 729, 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 ]
[ 693, 7713, 519, 5107, 540, 519, 22469, 543, 5664, 8109, 2021, 1369, 741, 2950, 1282, 519, 2038, 11635, 6520, 563, 7437, 6476, 267, 713, 2070, 1448, 786, 4983, 602, 26882, 8929, 540, 1114, 7239, 1282, 267, 10199, 267, 519, 1482, 942, 1974, 269, 634, 10020, 540, 22469, 6468, 769, 3504, 22469, 7239, 267, 2021, 1185, 1082, 2924, 543, 22624, 602, 941, 711, 6035, 547, 2021, 538, 824, 7239, 1282, 519, 11635, 6520, 630, 1492, 15456, 1974, 1310, 519, 27705, 6520, 543, 6353, 676, 519, 7839, 946, 540, 4401, 1040, 22469, 2021, 10150, 519, 2702, 547, 3035, 513, 2362, 4567, 543, 4196, 607, 669, 773, 1111, 1622, 267, 546, 745, 1749, 267, 15023, 267, 12115, 619, 267, 21847, 267, 17009, 1846, 267, 543, 16488, 563, 18131, 941, 711, 7142, 547, 1491, 891, 5107, 267, 607, 1082, 3576, 593, 519, 811, 2757, 1909, 607, 24726, 543, 11299, 563, 1607, 2702, 547, 3313, 3283, 12556, 568, 513, 5191, 602, 1131, 711, 581, 6905, 547, 2021, 593, 513, 7839, 10206, 2394, 519, 3735, 14206, 2540, 540, 5375, 12977, 269, 9603, 547, 519, 946, 540, 7365, 607, 513, 11006, 1907, 585, 1114, 804, 753, 267, 2021, 941, 4847, 26080, 2924, 540, 16028, 543, 3959, 7429, 2021, 540, 519, 1482, 942, 1974, 269, 634, 22469, 2021, 1185, 606, 3160, 2161, 538, 519, 5137, 540, 741, 7365, 4579, 543, 519, 3892, 540, 2244, 547, 519, 646, 15077, 540, 519, 1920, 269, 9521, 1022, 824, 10340, 540, 519, 2038, 11635, 6520, 267, 610, 3564, 267, 519, 22469, 2021, 941, 711, 1152, 4847, 547, 1831, 21847, 267, 789, 941, 4397, 547, 581, 865, 563, 1103, 519, 22469, 2486, 267, 2021, 941, 4397, 547, 4339, 7258, 2367, 267, 607, 519, 4027, 540, 741, 2244, 729, 2938, 607, 3025, 779, 1870, 269, 634, 22469, 2021, 941, 18979, 543, 2356, 4330, 607, 267, 968, 17141, 1360, 2178, 267, 814, 4544, 4064, 282, 538, 30270, 1200, 8405, 15532, 2220, 749, 282, 1352, 28594, 10449, 1200, 4522, 267, 543, 6216, 8460, 1200, 6777, 3043, 7347, 7916, 269, 2701, 5956, 547, 10880, 9514, 338, 544, 532, 1194, 609, 737, 6506, 267, 607, 952, 789, 941, 865, 1082, 28862, 2366, 689, 519, 5569, 540, 513, 3032, 777, 738, 269, 634, 9739, 540, 891, 2021, 616, 23773, 267, 1256, 950, 789, 616, 711, 14220, 855, 1373, 7874, 269, 3509, 22469, 2021, 941, 3532, 267, 2178, 543, 5129, 1271, 5107, 538, 3210, 547, 519, 1164, 588, 1155, 267, 540, 799, 789, 941, 4371, 563, 4322, 2021, 941, 1360, 3982, 543, 4686, 538, 713, 942, 1974, 267, 2094, 789, 10150, 1082, 22624, 543, 2924, 602, 824, 7239, 1705, 711, 2709, 741, 1378, 2021, 269, 634, 10020, 540, 5664, 8109, 6468, 14358, 540, 519, 5107, 540, 5664, 8109, 2021, 4268, 10838, 519, 14787, 8989, 621, 282, 519, 5664, 8109, 2090, 7548, 5261, 27293, 20242, 1206, 3989, 519, 4567, 540, 5664, 8109, 2021, 607, 26793, 22590, 269, 3220, 269, 20242, 1206, 4080, 2021, 941, 896, 519, 22232, 17174, 1876, 267, 543, 607, 513, 2489, 4341, 1185, 12303, 1100, 3656, 4567, 563, 5445, 941, 4421, 883, 7365, 676, 741, 27369, 585, 513, 3902, 6976, 547, 519, 27369, 267, 519, 9393, 1223, 2165, 3729, 519, 9769, 693, 786, 267, 543, 2021, 1185, 2370, 610, 1100, 3959, 610, 2924, 269, 1358, 941, 29884, 547, 741, 18971, 267, 14552, 267, 543, 8152, 27512, 269, 1703, 729, 849, 2963, 540, 4630, 20141, 6057, 540, 2021, 543, 6690, 267, 1519, 8320, 540, 11318, 4775, 12256, 9800, 269, 16024, 1014, 24051, 3019, 620, 6363, 1601, 328, 5267, 602, 267, 5664, 8109, 2021, 4503, 1082, 540, 741, 2924, 998, 3504, 5259, 543, 4936, 1876, 1991, 547, 519, 12625, 540, 5771, 543, 602, 519, 13983, 1723, 7304, 2674, 10148, 941, 17477, 896, 5771, 563, 8448, 338, 5830, 267, 593, 519, 14669, 267, 723, 11130, 602, 972, 941, 8320, 1141, 2021, 4371, 1164, 7158, 540, 1379, 543, 6392, 269, 1358, 15548, 538, 1857, 1568, 267, 607, 24784, 267, 4371, 3909, 13646, 543, 10483, 21847, 547, 519, 6370, 12506, 607, 2900, 7970, 267, 948, 619, 543, 941, 849, 1336, 547, 581, 519, 7580, 543, 29752, 3401, 540, 519, 4229, 269, 769, 930, 11031, 267, 2021, 941, 26602, 760, 730, 1256, 538, 6476, 609, 1082, 540, 2221, 4441, 602, 2021, 2972, 269, 4475, 267, 972, 568, 1100, 2582, 4214, 540, 519, 1909, 5129, 676, 519, 5664, 8109, 2021, 1282, 519, 11635, 6520, 267, 1991, 547, 519, 4417, 540, 5771, 563, 21008, 2581, 540, 22469, 543, 5664, 8109, 6468, 769, 1312, 519, 22469, 543, 5664, 8109, 12977, 630, 24392, 585, 519, 5664, 8109, 713, 729, 1152, 538, 930, 2665, 264, 2021, 1223, 7119, 538, 1857, 13646, 267, 607, 18657, 2209, 267, 543, 1223, 3180, 3909, 13646, 269, 5637, 2010, 540, 2021, 941, 1336, 547, 581, 10995, 1369, 741, 9757, 7239, 269, 1717, 267, 538, 1082, 2081, 519, 22469, 543, 5664, 8109, 7239, 941, 3309, 267, 607, 519, 22469, 2021, 1185, 1082, 22624, 543, 941, 2938, 3160, 547, 2367, 267, 1247, 5664, 8109, 2021, 941, 2938, 607, 1970, 1362, 4961, 610, 8338, 543, 1185, 12303, 1100, 3656, 4567, 563, 290, 20666, 2021, 941, 3160, 538, 513, 7365, 543, 1223, 3442, 741, 1378, 9393, 1247, 5664, 8109, 2021, 941, 4421, 883, 7365, 676, 513, 2385, 610, 27369, 543, 1185, 2370, 610, 1100, 2161, 538, 519, 7365, 4579, 267, 3959, 2924, 267, 610, 19588, 269, 769, 930, 8320, 267, 5664, 8109, 6690, 1131, 581, 7166, 952, 2938, 607, 513, 11411, 610, 771, 6588, 576, 547, 513, 1920, 610, 14316, 269, 2755, 538, 519, 22469, 2486, 2021, 941, 4371, 538, 1164, 2543, 543, 941, 2938, 607, 11224, 547, 2367, 269, 10390, 769, 3932, 267, 519, 1909, 540, 2021, 2429, 1686, 814, 1044, 1360, 3309, 563, 5278, 2021, 723, 1044, 17710, 267, 21847, 267, 543, 22278, 267, 1247, 1866, 723, 1044, 5701, 607, 10437, 267, 2539, 1362, 4961, 543, 24726, 269, 634, 1909, 540, 2021, 568, 1360, 8200, 593, 519, 1808, 2528, 543, 942, 1974, 269, 22469, 2021, 941, 3982, 538, 519, 11635, 6520, 585, 519, 15698, 543, 2924, 789, 10150, 543, 7158, 789, 4371, 538, 741, 2486, 267, 1247, 1034, 2021, 538, 519, 5664, 8109, 2528, 723, 2429, 1686, 4810, 7130, 543, 723, 1044, 1641, 547, 9993, 540, 741, 22624, 543, 2924, 269, 2368, 1759, 593, 3909, 4978, 267, 855, 1082, 616, 2686, 7687, 563, 1607, 26882, 8929, 540, 1079, 4529, 1369, 519, 5266, 1482, 5736, 814, 8810, 547, 581, 513, 6305, 1383, 540, 519, 3622, 7608, 18765, 540, 2021, 1369, 3504, 12977, 269, 2290, 1448, 1590, 581, 15422, 827, 519, 1686, 540, 2021, 2507, 16269, 941, 4080, 676, 2367, 269, 2290, 1223, 711, 1631, 17046, 569, 2844, 610, 20912, 519, 2924, 540, 2021, 693, 519, 942, 267, 543, 9186, 1590, 581, 3144, 883, 2272, 269, 570, 2586, 607, 568, 267, 519, 2924, 540, 519, 22469, 2021, 616, 711, 1256, 20083, 2221, 267, 5631, 1317, 540, 24116, 4567, 267, 855, 519, 1909, 540, 2021, 1369, 519, 5664, 8109, 12977, 814, 7283, 9425, 5812, 267, 1256, 2022, 9099, 18236, 269, 0, 30949, 4567, 538, 1715, 769, 3455, 1633, 454, 29128, 2487, 2053, 267, 1715, 769, 3455, 1633, 4553, 519, 2259, 6964, 538, 769, 3455, 1633, 543, 12986, 267, 17929, 2749, 4567, 729, 2016, 1152, 547, 1346, 10034, 602, 1141, 519, 10160, 540, 513, 1019, 665, 525, 534, 26720, 269, 634, 3095, 1063, 513, 1019, 665, 525, 534, 1294, 543, 2749, 4567, 729, 3964, 676, 8361, 24163, 538, 519, 2038, 476, 15150, 271, 338, 267, 609, 519, 5250, 540, 1007, 1019, 665, 525, 525, 538, 3670, 10034, 3056, 547, 873, 1373, 11292, 2749, 4567, 676, 519, 29307, 5022, 14664, 269, 2060, 519, 5250, 540, 1715, 769, 3455, 1633, 538, 476, 8146, 277, 267, 519, 1101, 13896, 4547, 713, 2245, 609, 873, 689, 769, 3455, 1633, 267, 543, 4294, 16382, 513, 1007, 1019, 665, 525, 534, 1294, 729, 3964, 676, 519, 769, 3455, 1014, 5783, 540, 1715, 769, 3455, 1633, 269, 4746, 267, 519, 1079, 4872, 602, 6039, 607, 519, 10160, 540, 2229, 941, 11506, 547, 2749, 4567, 1354, 519, 5783, 1185, 519, 4316, 547, 3964, 513, 1019, 665, 525, 534, 1294, 267, 4352, 3032, 1117, 23552, 941, 13604, 3964, 538, 1312, 4872, 269, 1306, 971, 972, 941, 1152, 5216, 4872, 538, 1715, 769, 3455, 1633, 2394, 15024, 941, 1500, 547, 519, 1062, 538, 476, 3707, 278, 563, 1103, 476, 3707, 278, 267, 519, 24180, 3244, 338, 2229, 9333, 809, 513, 6963, 547, 519, 10871, 6554, 2920, 267, 543, 1128, 21114, 513, 1007, 1305, 540, 7355, 602, 11292, 2749, 4567, 593, 519, 4493, 540, 2551, 267, 6578, 267, 543, 4683, 25843, 269, 2353, 20422, 23200, 540, 519, 10871, 6554, 2920, 723, 556, 6088, 713, 7355, 267, 543, 621, 814, 28815, 547, 519, 1459, 1554, 269, 634, 15024, 3366, 547, 513, 17464, 3832, 540, 1007, 4872, 1373, 29064, 267, 689, 16547, 1636, 630, 4198, 273, 1070, 998, 547, 2782, 333, 1442, 630, 1220, 272, 1916, 7468, 643, 850, 2471, 543, 4567, 454, 763, 8066, 540, 2749, 4567, 6770, 1906, 2027, 2640, 824, 982, 519, 1318, 547, 581, 1572, 513, 2749, 269, 1703, 616, 267, 2705, 267, 930, 5634, 22864, 602, 513, 2749, 9100, 1080, 676, 16495, 540, 1373, 11506, 676, 519, 590, 30371, 793, 912, 268, 634, 1528, 832, 540, 519, 2749, 616, 1634, 607, 834, 31842, 714, 839, 257, 2864, 982, 834, 7921, 612, 525, 257, 607, 789, 1131, 581, 538, 513, 18664, 965, 3248, 268, 7201, 519, 3652, 543, 2853, 540, 1200, 12245, 787, 912, 268, 20079, 616, 13886, 547, 519, 946, 540, 18793, 282, 543, 454, 268, 634, 544, 1116, 13862, 1031, 538, 519, 30160, 814, 1614, 3368, 2389, 584, 28905, 3773, 547, 519, 8912, 2185, 2881, 516, 1540, 11460, 1031, 585, 782, 824, 18513, 14078, 543, 6917, 13102, 563, 3519, 2536, 618, 540, 2749, 4567, 454, 763, 4567, 540, 2749, 1281, 711, 4019, 8850, 547, 1022, 11175, 267, 543, 1590, 581, 11292, 676, 519, 590, 30371, 793, 676, 1259, 540, 5022, 14664, 269, 4635, 519, 2259, 540, 6173, 908, 10034, 609, 1019, 665, 525, 534, 3032, 1117, 23552, 267, 3670, 540, 519, 5216, 1019, 665, 525, 534, 12034, 540, 519, 5783, 941, 11506, 547, 519, 4567, 540, 2749, 1063, 476, 6942, 271, 543, 476, 3707, 277, 269, 634, 1079, 17756, 616, 519, 1079, 4872, 602, 723, 6039, 607, 519, 3084, 3854, 269, 1306, 519, 4087, 540, 519, 10424, 5480, 543, 10160, 540, 2229, 267, 1312, 5800, 19291, 630, 5115, 1388, 689, 476, 8146, 277, 268, 6924, 264, 543, 18301, 12064, 630, 5115, 1388, 476, 5908, 279, 1790, 6974, 264, 941, 11506, 607, 4872, 1354, 741, 9757, 1019, 665, 525, 525, 941, 4646, 563, 7712, 476, 3707, 278, 267, 621, 814, 1044, 519, 2259, 602, 519, 4567, 540, 2749, 1131, 1100, 3476, 581, 3808, 547, 519, 4527, 540, 513, 26720, 610, 519, 10160, 540, 2229, 267, 543, 14828, 1500, 2094, 723, 1044, 13752, 547, 25772, 593, 1739, 7355, 912, 268, 634, 29109, 814, 267, 1282, 519, 2947, 1296, 1985, 18631, 971, 605, 17474, 267, 1185, 606, 3328, 2551, 540, 693, 2547, 15823, 8536, 7606, 282, 543, 454, 268, 634, 29109, 814, 1282, 519, 1767, 1974, 1185, 606, 3328, 14407, 4747, 689, 782, 2959, 540, 693, 2547, 8938, 8536, 6550, 282, 543, 454, 268, 634, 29109, 568, 606, 4830, 8998, 540, 2551, 543, 568, 711, 513, 1016, 7875, 267, 2436, 10821, 267, 4853, 267, 5010, 267, 610, 17535, 267, 540, 1022, 824, 29109, 610, 8998, 540, 2551, 563, 30949, 4567, 568, 24705, 1042, 676, 5022, 14664, 267, 543, 3096, 519, 1739, 4542, 602, 729, 1031, 585, 519, 605, 17474, 540, 700, 684, 523, 28386, 607, 513, 2749, 538, 476, 5002, 278, 912, 15771, 6579, 7709, 267, 15760, 5990, 16998, 19781, 5508, 717, 7495, 267, 918, 5058, 5508, 21832, 5442, 294, 2207, 299, 13263, 454, 2414, 20231, 547, 7247, 891, 3465, 757, 4927, 2097, 13983, 7566, 18040, 16730, 3008, 519, 11317, 540, 519, 16907, 965, 540, 700, 684, 523, 28386, 616, 513, 1560, 2184, 545, 543, 9746, 676, 519, 2012, 543, 2511, 540, 519, 26302, 267, 25548, 1069, 523, 543, 26990, 612, 525, 540, 519, 16907, 965, 540, 700, 684, 523, 28386, 6730, 18040, 16730, 3008, 1284, 585, 4129, 1434, 3123, 543, 9270, 2974, 972, 2863, 334, 3001, 616, 1178, 19290, 20938, 547, 6318, 519, 1767, 16907, 965, 547, 519, 7584, 540, 513, 4975, 715, 8582, 8946, 2207, 9128, 16800, 5700, 14717, 602, 649, 540, 3776, 1965, 2133, 11419, 543, 12797, 543, 6071, 5163, 1684, 676, 713, 3776, 9576 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1344, 593, 1141, 789, 5030, 267, 950, 789, 5030, 267, 741, 3259, 267, 2027, 2934, 267, 1426, 267, 543, 14763, 269, 0, 3602, 13065, 568, 519, 3957, 2039, 667, 276, 281, 291, 1428, 269, 769, 824, 1913, 267, 519, 1267, 568, 519, 2040, 540, 519, 2418, 538, 667, 276, 281, 291, 1428, 10736, 547, 6207, 2418, 269, 6423, 2630, 585, 3877, 827, 519, 824, 12596, 602, 2408, 538, 713, 1383, 563, 1103, 713, 1383, 267, 519, 3804, 568, 547, 2040, 610, 1293, 513, 1305, 540, 1083, 1734, 538, 1114, 2081, 269, 7352, 1734, 616, 7396, 538, 667, 276, 281, 291, 1428, 267, 799, 568, 849, 519, 3957, 2039, 19702, 766, 269, 634, 1101, 4542, 538, 674, 276, 3274, 18304, 782, 1083, 1734, 609, 519, 590, 9331, 1599, 563, 9616, 281, 649, 946, 519, 24639, 6573, 4629, 291, 308, 6311, 1599, 1934, 3079, 540, 519, 590, 9331, 1599, 1317, 24639, 6573, 4629, 291, 308, 6311, 666, 6023, 1082, 5044, 4238, 5065, 569, 1510, 10024, 519, 4542, 538, 513, 2027, 1259, 269, 901, 1797, 621, 786, 960, 538, 1022, 4528, 540, 9185, 269, 1411, 666, 946, 590, 9331, 3079, 267, 855, 596, 3513, 991, 547, 4283, 609, 1852, 1341, 6521, 1341, 4283, 8259, 596, 616, 1210, 9185, 476, 18458, 1141, 5044, 2623, 568, 5065, 543, 1100, 2027, 2126, 568, 2556, 563, 15575, 1875, 25179, 13065, 454, 763, 4542, 538, 674, 278, 12523, 519, 1297, 540, 6207, 1083, 1734, 602, 616, 3152, 982, 4642, 630, 271, 2187, 1103, 519, 1383, 607, 3254, 267, 519, 1083, 1734, 538, 6241, 667, 957, 607, 513, 25961, 6241, 269, 1717, 267, 596, 666, 5173, 519, 1083, 1734, 2047, 538, 606, 5044, 5106, 952, 2877, 609, 519, 1482, 2164, 269, 1280, 1383, 267, 547, 1293, 2318, 1083, 1734, 267, 519, 4542, 538, 674, 279, 568, 912, 1607, 568, 513, 7168, 3044, 946, 540, 519, 590, 9331, 9281, 306, 1599, 269, 769, 713, 2013, 267, 649, 991, 547, 2040, 5666, 1759, 593, 1079, 7355, 281, 1826, 630, 1150, 4751, 610, 4890, 264, 543, 1895, 269, 1677, 2040, 676, 1826, 267, 519, 2039, 11305, 761, 4997, 6292, 568, 281, 1826, 2073, 717, 259, 275, 1141, 1826, 568, 519, 3957, 2039, 667, 276, 281, 291, 1691, 267, 543, 2483, 1103, 713, 1383, 267, 519, 3804, 568, 547, 5173, 519, 13065, 1063, 513, 5983, 4751, 630, 26383, 595, 264, 543, 2920, 783, 630, 26383, 667, 264, 607, 513, 6871, 269, 1280, 1383, 267, 609, 513, 5983, 4751, 1871, 540, 476, 1911, 267, 1822, 543, 606, 2920, 783, 1871, 540, 476, 12208, 267, 1822, 267, 649, 1616, 547, 2132, 513, 13065, 540, 476, 1321, 10065, 634, 2483, 763, 9185, 590, 9331, 1599, 7024, 519, 2040, 540, 2418, 13859, 269, 1452, 2418, 666, 581, 2338, 267, 1591, 8100, 267, 9832, 267, 14249, 267, 543, 21635, 267, 538, 1022, 4999, 269, 590, 9331, 666, 6023, 909, 547, 476, 14838, 1367, 7440, 563, 763, 9185, 589, 7034, 1599, 7024, 519, 6207, 1871, 540, 513, 1297, 269, 589, 7034, 17838, 2942, 2338, 547, 2318, 2338, 267, 543, 2318, 2338, 616, 19448, 26327, 563, 2750, 4897, 16754, 9751, 454, 13528, 10358, 616, 519, 1883, 547, 3478, 1919, 2944, 538, 9185, 269, 769, 713, 18965, 2866, 267, 596, 3513, 1451, 875, 547, 946, 12596, 547, 13861, 1257, 267, 960, 609, 7389, 543, 2053, 267, 1413, 1575, 2418, 609, 966, 26183, 10498, 16810, 543, 28960, 13052, 1299, 13878, 6224, 267, 1293, 543, 2040, 609, 7355, 267, 29858, 7584, 2418, 267, 543, 1711, 6422, 9832, 269, 1411, 3513, 849, 1451, 875, 547, 23676, 2393, 267, 10250, 6959, 267, 543, 4368, 2042, 269, 2382, 656, 1569, 269, 6423, 3877, 1934, 269, 0, 10574, 7060, 5100, 4872, 269, 717, 1622, 538, 4398, 267, 10333, 267, 543, 2298, 540, 1272, 538, 5100, 4872, 5673, 593, 2043, 18515, 547, 7119, 609, 741, 1239, 269, 12861, 1239, 13324, 5100, 4872, 12651, 7834, 543, 1239, 4027, 4220, 602, 616, 1152, 1631, 1373, 6444, 563, 1607, 1357, 14373, 2934, 5100, 4872, 5640, 4171, 1382, 18953, 593, 3096, 540, 1239, 585, 4058, 543, 7598, 5100, 2749, 2035, 269, 11762, 5941, 538, 713, 1357, 14373, 1331, 912, 268, 12829, 2749, 1239, 2591, 563, 268, 21041, 6937, 538, 1239, 4687, 543, 1239, 5599, 538, 5100, 4872, 454, 268, 21041, 10276, 327, 3496, 4066, 538, 5100, 4872, 454, 268, 4578, 10350, 21140, 543, 1761, 3435, 454, 268, 31875, 547, 2229, 1239, 1569, 454, 268, 5900, 6421, 2509, 7834, 538, 513, 5100, 2749, 2796, 0, 13775, 693, 14349, 267, 5147, 476, 4029, 560, 476, 1708, 272, 269, 676, 8061, 2106, 15039, 7304, 846, 538, 6096, 563, 278, 269, 25779, 4259, 3211, 1683, 942, 14604, 543, 21852, 269, 27915, 3677, 3853, 883, 4130, 6810, 267, 8159, 799, 3268, 723, 547, 581, 3144, 267, 543, 4259, 513, 12032, 4266, 568, 513, 1390, 4542, 585, 1967, 269, 634, 1655, 1259, 547, 2490, 22876, 2858, 1588, 883, 8404, 568, 547, 3651, 513, 21120, 269, 1411, 949, 1256, 4324, 689, 1373, 18177, 547, 2576, 945, 786, 2638, 547, 1118, 2386, 596, 723, 1558, 707, 942, 7406, 4808, 269, 8758, 1154, 707, 3853, 547, 1957, 786, 1683, 4287, 267, 1832, 596, 12592, 543, 5059, 267, 543, 2333, 707, 1582, 21873, 607, 596, 6895, 707, 1967, 2059, 519, 1259, 269, 1635, 11544, 2462, 9909, 609, 513, 4052, 1935, 596, 666, 3142, 9355, 543, 1445, 547, 707, 3853, 602, 786, 1832, 596, 12592, 543, 2333, 707, 4960, 540, 9363, 8149, 1100, 2339, 1018, 9465, 596, 949, 3068, 563, 295, 2345, 1041, 3211, 616, 4105, 7755, 9417, 338, 547, 2500, 3450, 269, 1358, 1450, 1053, 547, 1449, 741, 1702, 543, 2709, 513, 4052, 6316, 547, 1565, 269, 769, 1840, 267, 950, 1031, 5265, 267, 3211, 1683, 7525, 5955, 547, 1053, 543, 6268, 540, 513, 1126, 779, 3356, 547, 3237, 269, 6096, 849, 1863, 909, 519, 942, 540, 3237, 945, 616, 3450, 2789, 1453, 865, 519, 2385, 666, 2285, 1142, 2875, 1367, 3007, 269, 6736, 2757, 18765, 602, 3211, 616, 1152, 585, 2979, 267, 713, 2376, 28279, 3237, 602, 3211, 616, 711, 1175, 585, 2979, 855, 666, 3986, 1565, 538, 1082, 824, 6030, 269, 14268, 1058, 1118, 946, 540, 891, 3450, 543, 1565, 11226, 547, 3986, 741, 1126, 779, 1565, 1995, 563, 2467, 616, 1082, 3255, 547, 4001, 707, 1126, 875, 547, 1293, 269, 1411, 4440, 2907, 723, 2835, 609, 2338, 543, 5961, 267, 543, 596, 666, 1293, 1919, 609, 707, 1126, 782, 519, 942, 269, 1703, 616, 10203, 3756, 543, 7161, 609, 2338, 593, 873, 267, 3774, 12125, 543, 513, 2647, 3099, 540, 2645, 547, 948, 596, 4001, 707, 1126, 519, 2596, 3741, 540, 2979, 269, 9119, 3211, 666, 948, 596, 1491, 602, 3355, 1565, 2417, 547, 6338, 519, 2596, 3741, 540, 2979, 547, 707, 1126, 267, 693, 513, 3942, 538, 741, 2729, 1141, 789, 616, 11235, 547, 1451, 543, 2111, 547, 10110, 1007, 1344, 3533, 543, 3362, 563, 12988, 538, 519, 2025, 2395, 267, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 1983, 941, 13736, 676, 1603, 519, 5013, 856, 676, 1688, 1700, 16673, 2041, 476, 1015, 268, 736, 2053, 1142, 1700, 1492, 3003, 1249, 269, 1411, 616, 11842, 1946, 713, 729, 1732, 982, 1603, 4267, 593, 513, 4976, 267, 5749, 1406, 596, 286, 1411, 786, 1995, 519, 3017, 3054, 952, 596, 798, 713, 2370, 4603, 269, 5192, 856, 513, 4062, 540, 1957, 543, 2328, 519, 3003, 1249, 476, 277, 1535, 476, 279, 815, 476, 4366, 543, 693, 519, 1482, 942, 267, 2161, 519, 3003, 1249, 856, 10978, 607, 596, 2328, 621, 269, 17166, 9232, 338, 1460, 2053, 5216, 568, 17288, 32732, 1848, 607, 596, 2328, 476, 277, 1535, 476, 279, 815, 476, 4366, 269, 3767, 798, 713, 4557, 2053, 269, 3619, 6619, 267, 594, 3580, 7227, 7498, 9199, 1188, 16680, 269, 6271, 5413, 540, 891, 2979, 3211, 568, 602, 3214, 543, 3237, 786, 581, 2111, 547, 1832, 873, 547, 4196, 607, 741, 8100, 585, 2689, 269, 4595, 3211, 616, 2653, 547, 2953, 267, 1053, 786, 581, 2111, 547, 2697, 519, 3688, 543, 2127, 602, 789, 1185, 9073, 865, 602, 789, 786, 581, 2111, 547, 2953, 1346, 19518, 269, 18227, 2594, 568, 2731, 513, 1434, 3364, 282, 1306, 513, 2385, 267, 596, 786, 581, 2111, 547, 979, 1394, 998, 873, 543, 2708, 741, 2178, 543, 4617, 2127, 269, 18227, 3950, 596, 786, 581, 2111, 547, 3950, 707, 1126, 779, 3356, 607, 12170, 2963, 563, 3963, 946, 1863, 2979, 3211, 286, 14168, 269, 1452, 3211, 666, 4688, 596, 513, 2603, 540, 942, 543, 2724, 543, 950, 596, 2461, 513, 11112, 18954, 3158, 3450, 1896, 1453, 267, 713, 1797, 513, 2603, 269, 16440, 14559, 2652, 285, 898, 779, 2653, 547, 1294, 875, 1863, 3211, 666, 4688, 596, 2724, 269, 1403, 596, 1616, 267, 596, 666, 18178, 9140, 2979, 2835, 543, 1175, 946, 3211, 602, 596, 1205, 585, 1863, 593, 519, 4950, 269, 2353, 596, 991, 547, 798, 568, 946, 513, 9232, 2675, 2100, 543, 5311, 892, 1433, 602, 6645, 596, 1018, 707, 1126, 2115, 547, 581, 3257, 538, 2979, 676, 2085, 543, 3446, 269, 901, 1433, 568, 1898, 950, 596, 18954, 269, 594, 4363, 3478, 835, 540, 891, 2835, 950, 596, 1101, 2253, 32059, 543, 946, 621, 607, 513, 4704, 2429, 707, 18954, 3460, 269, 17859, 540, 875, 1279, 596, 18954, 267, 596, 3580, 2141, 723, 22027, 543, 2055, 827, 875, 707, 1126, 568, 7900, 6993, 9165, 543, 5311, 1433, 666, 2322, 707, 2247, 693, 8897, 269, 4495, 596, 723, 513, 9165, 543, 5311, 1433, 267, 1118, 513, 1592, 540, 1142, 1858, 538, 2979, 602, 646, 2115, 547, 960, 593, 585, 519, 1153, 1032, 563, 273, 269, 13600, 569, 11038, 7797, 8018, 1107, 2991, 596, 723, 27424, 596, 7836, 596, 616, 1631, 4712, 547, 6445, 856, 513, 10865, 2883, 1867, 4976, 585, 602, 476, 1789, 1554, 1974, 269, 2201, 713, 4976, 596, 786, 2594, 596, 4747, 585, 519, 3923, 2059, 609, 707, 7836, 538, 1142, 13258, 7121, 269, 2991, 596, 723, 10208, 539, 707, 2698, 9276, 689, 707, 2121, 6108, 762, 4747, 267, 596, 786, 1294, 952, 596, 723, 606, 4430, 610, 952, 596, 1141, 2110, 585, 602, 3923, 269, 476, 274, 269, 13600, 569, 20907, 8018, 1107, 4495, 596, 2347, 519, 10865, 2883, 1867, 585, 519, 2250, 3923, 267, 596, 616, 4712, 547, 1711, 707, 10865, 6578, 585, 1985, 3923, 1210, 513, 10865, 6578, 4976, 269, 2201, 713, 4976, 596, 786, 2594, 782, 707, 10865, 12014, 267, 1519, 519, 5666, 543, 519, 1813, 7389, 269, 1411, 786, 849, 1450, 513, 1978, 2179, 540, 2724, 585, 782, 824, 13258, 6688, 1759, 593, 707, 3105, 10865, 2883, 1867, 269, 1403, 596, 13234, 2063, 3923, 538, 519, 2699, 267, 596, 786, 1616, 547, 1413, 693, 1141, 596, 666, 2759, 707, 7836, 713, 3923, 865, 596, 723, 513, 7059, 6578, 609, 513, 2370, 4430, 693, 519, 1439, 540, 519, 3923, 269, 1924, 267, 607, 596, 666, 1294, 267, 2870, 513, 10865, 6578, 568, 7168, 2241, 952, 596, 946, 891, 1614, 1590, 3620, 1511, 6578, 3211, 269, 898, 3217, 930, 942, 543, 960, 855, 2713, 1369, 707, 1797, 568, 971, 513, 1390, 4743, 563, 12179, 1543, 267, 22028, 779, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 519, 3627, 335, 323, 32713, 3712, 3005, 3896, 602, 568, 711, 3627, 335, 323, 32713, 3712, 3005, 779, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 3627, 335, 323, 32713, 3712, 3005, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 15648, 9736, 476, 1708, 272, 3627, 335, 323, 32713, 3712, 3005, 269, 2353, 7126, 27616, 269, 0, 6624, 1507, 590, 9200, 1014, 9082, 723, 12873, 17691, 543, 14868, 10213, 827, 519, 1004, 540, 519, 3043, 5198, 945, 5030, 538, 519, 3338, 540, 27584, 4997, 1279, 1354, 873, 269, 1703, 616, 849, 8100, 547, 519, 11895, 4872, 540, 891, 1004, 538, 891, 17691, 267, 547, 799, 851, 540, 713, 1004, 4682, 1394, 538, 942, 1799, 655, 3645, 269, 2311, 519, 1482, 942, 267, 17691, 2161, 602, 972, 616, 2147, 4872, 693, 519, 5023, 540, 3592, 1169, 590, 9200, 1014, 5757, 602, 8928, 883, 454, 2690, 1383, 267, 596, 666, 5873, 4277, 17691, 689, 2199, 7264, 827, 519, 5023, 540, 519, 700, 6511, 5211, 267, 602, 972, 568, 606, 11895, 2749, 972, 267, 799, 568, 1631, 8900, 269, 634, 13675, 547, 713, 2749, 568, 1634, 547, 1906, 267, 855, 789, 849, 4782, 547, 1832, 9602, 827, 922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2165, 5303, 568, 8246, 547, 5581, 513, 2319, 540, 5759, 267, 5773, 267, 610, 2553, 602, 723, 2965, 1044, 2919, 607, 1134, 607, 1031, 547, 1118, 513, 1587, 610, 3035, 513, 3483, 269, 898, 2882, 519, 2208, 540, 2257, 267, 1374, 267, 543, 1818, 2409, 269, 634, 6454, 540, 5647, 568, 513, 1713, 2015, 519, 2518, 2804, 9183, 269, 15043, 607, 1134, 607, 1210, 6216, 20642, 2413, 4066, 568, 1271, 547, 519, 2104, 540, 938, 8608, 269, 634, 1739, 616, 513, 7008, 540, 1271, 8847, 540, 2413, 2029, 269, 1677, 1205, 811, 1344, 267, 1491, 513, 1413, 693, 891, 4930, 912, 25889, 540, 2413, 2029, 281, 13405, 547, 519, 2208, 540, 519, 8868, 267, 1004, 1293, 593, 3595, 585, 6668, 269, 634, 32665, 26306, 4547, 16536, 5663, 547, 2342, 543, 849, 9640, 327, 3996, 269, 634, 946, 540, 519, 8868, 543, 824, 3560, 2409, 29211, 1480, 7919, 2263, 741, 5790, 269, 5295, 7503, 3361, 519, 1646, 540, 5122, 1379, 267, 799, 4957, 519, 1505, 649, 2661, 607, 1134, 607, 1599, 269, 13813, 2504, 607, 1134, 607, 17975, 616, 8320, 540, 1379, 7503, 267, 799, 616, 1898, 547, 1480, 6668, 269, 15316, 824, 3584, 2404, 609, 2029, 1331, 1426, 607, 1134, 607, 20892, 2504, 267, 1519, 13520, 15209, 267, 23611, 8105, 267, 4853, 10068, 267, 543, 1426, 5726, 563, 2026, 3621, 1382, 3788, 547, 14634, 267, 519, 2208, 540, 6216, 20642, 4066, 849, 8441, 269, 10801, 519, 32665, 7169, 267, 1480, 7919, 8476, 3595, 1852, 267, 3976, 20993, 519, 2179, 540, 6035, 1426, 2959, 269, 15316, 824, 7835, 538, 519, 4282, 540, 5647, 2874, 540, 519, 8798, 540, 519, 8868, 607, 1134, 607, 519, 8228, 2046, 269, 634, 5647, 540, 519, 15146, 607, 1134, 607, 519, 4880, 11338, 22485, 2168, 7496, 1063, 1004, 607, 1134, 607, 741, 1604, 269, 769, 513, 2147, 1259, 267, 519, 1646, 540, 5647, 814, 8507, 538, 519, 1646, 540, 519, 18883, 1362, 269, 2755, 6639, 7835, 723, 2965, 8507, 538, 8476, 7607, 543, 6197, 267, 1034, 540, 519, 3157, 1519, 891, 2413, 4066, 616, 3810, 14124, 547, 519, 1604, 543, 849, 519, 18495, 563, 3080, 1797, 547, 14574, 5647, 568, 547, 2015, 922, 4282, 269, 13405, 547, 8876, 856, 1007, 4066, 267, 2015, 519, 1761, 2164, 593, 2528, 269, 1280, 3236, 267, 952, 621, 568, 513, 1007, 1907, 585, 6721, 5122, 1648, 267, 1018, 786, 581, 519, 29854, 286, 4024, 621, 3132, 5906, 2427, 2360, 286, 2052, 621, 2087, 519, 6197, 540, 922, 2043, 286, 4024, 621, 4324, 519, 5790, 286, 1656, 952, 865, 267, 519, 3259, 540, 942, 786, 621, 581, 827, 286, 2755, 519, 5383, 540, 971, 2029, 9765, 519, 5777, 888, 2691, 621, 3322, 519, 1686, 540, 2413, 2029, 267, 519, 2165, 568, 3989, 3622, 269, 898, 16621, 782, 519, 2645, 267, 6191, 267, 543, 2645, 602, 1480, 7919, 946, 538, 741, 1554, 3562, 1673, 904, 2661, 269, 898, 666, 11338, 1331, 519, 1259, 649, 3132, 1426, 267, 543, 875, 649, 666, 946, 873, 269, 1284, 11338, 991, 547, 1589, 540, 519, 1797, 649, 8415, 607, 1134, 607, 1711, 891, 4066, 269, 10705, 267, 621, 568, 711, 1898, 602, 891, 3457, 723, 2965, 1044, 3964, 547, 4324, 2043, 538, 824, 1797, 267, 2705, 789, 616, 2556, 538, 938, 2729, 563, 13425, 856, 645, 664, 779, 476, 4350, 278, 4214, 540, 2413, 2029, 568, 1869, 8912, 1851, 5640, 269, 898, 2882, 3388, 689, 1688, 2645, 547, 4207, 2780, 1949, 269, 3245, 2025, 2645, 543, 2645, 547, 519, 4207, 4880, 267, 782, 3029, 540, 2029, 723, 4299, 938, 2729, 538, 835, 1259, 610, 1776, 269, 2368, 8320, 540, 2413, 2029, 1331, 281, 8105, 2409, 267, 6683, 267, 10618, 267, 543, 849, 2792, 269, 11048, 267, 972, 616, 11338, 930, 2413, 4066, 602, 616, 513, 2603, 811, 703, 28424, 543, 991, 3102, 6703, 269, 1280, 1383, 267, 1210, 513, 28750, 267, 513, 1286, 267, 543, 849, 513, 5100, 3926, 616, 782, 4066, 602, 616, 1500, 547, 3247, 2175, 563, 763, 2495, 540, 2048, 974, 9592, 685, 568, 1419, 21372, 269, 898, 666, 1331, 2645, 543, 3937, 267, 538, 1840, 547, 2645, 1500, 946, 540, 547, 4188, 519, 1604, 269, 9293, 568, 4749, 4857, 609, 2048, 19640, 4066, 10200, 20037, 814, 513, 2495, 585, 5647, 602, 5161, 540, 782, 519, 2645, 543, 2645, 602, 649, 1118, 946, 540, 538, 938, 3232, 2729, 269, 9747, 267, 621, 779, 24669, 1946, 930, 2413, 4066, 616, 1454, 811, 10427, 982, 1866, 269, 1358, 616, 811, 6325, 982, 1866, 269, 2755, 5647, 568, 3063, 3902, 344, 982, 824, 12204, 540, 2472, 267, 789, 666, 11338, 581, 513, 1259, 547, 1118, 938, 2729, 12863, 563, 2467, 616, 1082, 10096, 540, 5647, 269, 634, 1360, 1101, 568, 513, 968, 25791, 4640, 892, 547, 2413, 2029, 267, 1141, 1913, 568, 1031, 547, 5581, 519, 2553, 602, 1480, 7919, 8415, 547, 7369, 519, 8608, 269, 769, 713, 4214, 267, 2413, 2029, 568, 513, 1305, 540, 2553, 602, 1689, 519, 1570, 1158, 269, 898, 568, 606, 4082, 540, 1480, 2486, 607, 1134, 607, 568, 29689, 609, 1480, 702, 2195, 269, 769, 713, 8289, 267, 6639, 1646, 568, 513, 2877, 851, 540, 519, 1646, 540, 519, 1480, 2249, 267, 855, 621, 1058, 581, 10146, 539, 676, 2486, 563, 1103, 1840, 547, 922, 2804, 3310, 267, 5647, 11338, 2115, 2959, 543, 849, 2043, 269, 10801, 519, 1646, 540, 519, 1480, 2249, 267, 2029, 814, 4957, 519, 1797, 649, 2661, 607, 1134, 607, 4010, 875, 649, 2661, 269, 898, 729, 11827, 676, 519, 20037, 585, 1053, 547, 1118, 1272, 4443, 585, 3294, 543, 849, 741, 1920, 2818, 269, 17497, 267, 621, 779, 1031, 547, 3132, 1688, 13463, 671, 19269, 267, 971, 607, 6472, 269, 4653, 267, 621, 779, 1500, 946, 540, 538, 519, 2504, 540, 5907, 3457, 267, 11647, 267, 543, 849, 824, 2472, 269, 4706, 6165, 7173, 5661, 543, 568, 513, 4105, 851, 540, 519, 1272, 540, 3425, 563, 15703, 2328, 13522, 593, 2413, 2029, 3382, 513, 5318, 5044, 540, 5396, 269, 634, 2165, 2882, 2679, 543, 4070, 267, 971, 607, 5656, 267, 23668, 267, 21394, 267, 607, 1134, 607, 24654, 8933, 269, 4033, 10124, 1331, 2497, 267, 6174, 267, 607, 1134, 607, 4791, 2645, 269, 1452, 5686, 540, 3457, 723, 2965, 1044, 8246, 585, 5553, 676, 3425, 269, 589, 27580, 8759, 666, 3802, 936, 513, 13304, 269, 589, 27580, 8759, 666, 1256, 3802, 14015, 267, 1818, 946, 540, 513, 1688, 13463, 671, 7936, 269, 1452, 616, 8320, 540, 3044, 4066, 269, 1306, 606, 1383, 267, 513, 32315, 345, 2465, 666, 8415, 606, 15666, 547, 2708, 519, 2620, 1145, 540, 1216, 267, 543, 513, 581, 11232, 666, 1628, 513, 2481, 547, 4688, 9932, 563, 26589, 609, 5663, 5370, 267, 2029, 11338, 5161, 540, 519, 2208, 540, 2645, 543, 19269, 602, 5818, 938, 2729, 269, 589, 7936, 602, 513, 27580, 8759, 3096, 607, 513, 6972, 6529, 14998, 621, 547, 15378, 519, 3178, 540, 1216, 267, 543, 513, 18560, 666, 2995, 519, 3178, 540, 513, 5757, 676, 1210, 513, 7936, 607, 513, 3391, 269, 898, 3884, 1406, 1175, 1480, 7919, 602, 946, 2645, 269, 2368, 8677, 849, 946, 3504, 4066, 267, 971, 607, 17375, 267, 538, 741, 4036, 1878, 269, 1358, 666, 1020, 513, 3595, 609, 513, 3595, 267, 610, 1118, 29959, 2645, 602, 723, 513, 7344, 4183, 563, 5278, 3744, 616, 14955, 9109, 1027, 827, 519, 7664, 540, 2413, 2029, 269, 1717, 972, 616, 1896, 1806, 540, 2413, 2029, 267, 689, 13946, 10367, 547, 1210, 3457, 269, 589, 1906, 540, 835, 540, 519, 1034, 18642, 5686, 540, 2029, 616, 1869, 2808, 547, 581, 6639, 269, 1452, 3457, 616, 1898, 547, 3425, 267, 2943, 513, 2603, 540, 873, 616, 3144, 883, 7156, 968, 339, 8962, 892, 676, 824, 1004, 269, 1403, 789, 616, 3812, 609, 2126, 267, 789, 666, 4217, 721, 3082, 547, 938, 5468, 607, 1134, 607, 2087, 938, 2729, 269, 634, 1360, 1482, 1904, 338, 585, 15670, 269, 1403, 789, 616, 1500, 609, 1416, 267, 789, 666, 2333, 519, 7607, 540, 1480, 7239, 269, 4179, 2517, 777, 18080, 2593, 9706, 816, 3146, 3161, 31574, 1170, 1440, 270, 974, 9592, 1532, 5350, 268, 8234, 1532, 328, 6248, 338, 2173, 9394, 268, 10746, 268, 274, 324, 273, 321, 2568, 276, 276, 325, 4037, 322, 276, 2420, 324, 11152, 323, 5392, 279, 321, 274, 17304, 2004, 274, 280, 324, 280, 454, 2691, 5647, 568, 1500, 946, 540, 585, 1818, 3688, 267, 621, 10597, 938, 2729, 269, 898, 2337, 721, 2661, 1454, 1732, 267, 543, 649, 616, 3063, 2500, 269, 10435, 946, 540, 2413, 2029, 568, 4105, 538, 6266, 540, 6753, 267, 1519, 5663, 267, 2069, 267, 1072, 1416, 267, 607, 1134, 607, 2872, 269, 634, 11633, 26306, 3323, 538, 519, 5177, 538, 519, 476, 1240, 628, 2540, 269, 10801, 713, 4090, 267, 30768, 3357, 547, 581, 1454, 811, 7463, 607, 1134, 607, 2813, 513, 1804, 5663, 9744, 1062, 269, 10801, 4282, 267, 972, 723, 1044, 6266, 540, 6639, 4066, 602, 723, 2965, 12012, 938, 2729, 11214, 269, 0, 2171, 616, 10478, 1239, 585, 707, 7662, 912, 26796, 12032, 267, 513, 3095, 786, 2408, 547, 1569, 519, 1336, 2326, 563, 18662, 338, 1185, 547, 581, 7477, 730, 1813, 547, 18073, 1184, 542, 8095, 2996, 454, 302, 752, 1184, 542, 29700, 7620, 3100, 899, 20027, 30746, 267, 855, 789, 666, 849, 581, 5906, 547, 3425, 269, 901, 2306, 2312, 519, 859, 2109, 543, 10151, 19479, 540, 1079, 3506, 538, 513, 1507, 4884, 538, 14068, 523, 8862, 14660, 1777, 1897, 326, 269, 15907, 476, 2412, 1453, 1185, 2919, 17736, 545, 6681, 20286, 1934, 267, 799, 941, 2404, 609, 18073, 1184, 542, 8095, 2996, 267, 519, 24827, 540, 799, 5305, 2121, 1479, 8914, 593, 3346, 563, 10521, 3506, 23498, 7466, 454, 290, 831, 18339, 1513, 540, 519, 18073, 1184, 542, 776, 8095, 1676, 693, 519, 5576, 650, 619, 577, 2544, 543, 7665, 23851, 1234, 1023, 577, 2544, 538, 645, 4958, 1084, 2282, 10127, 3149, 745, 515, 630, 289, 23565, 8862, 14660, 1777, 1897, 326, 264, 1500, 2386, 7466, 602, 519, 3506, 1185, 547, 581, 17355, 18050, 1369, 513, 1906, 2395, 269, 15907, 476, 10384, 1053, 1185, 547, 4734, 519, 2679, 269, 4340, 547, 513, 3948, 689, 519, 2749, 267, 1472, 476, 2412, 1453, 4951, 7646, 547, 9793, 13027, 6547, 593, 11728, 267, 799, 616, 30289, 547, 519, 2831, 269, 9050, 5293, 856, 269, 634, 1762, 2550, 4607, 2564, 3007, 563, 290, 831, 18339, 541, 4552, 3568, 513, 2121, 1479, 8914, 454, 10454, 2014, 540, 519, 17105, 12176, 540, 519, 13027, 6547, 568, 4867, 16143, 602, 519, 4552, 540, 519, 18073, 1184, 542, 776, 29700, 729, 27762, 883, 519, 1153, 543, 13460, 676, 519, 2842, 593, 11016, 543, 693, 519, 15964, 2437, 3081, 519, 5048, 563, 763, 18073, 1184, 542, 776, 26615, 630, 1320, 320, 636, 564, 641, 4141, 320, 1184, 7748, 320, 264, 568, 606, 14455, 30679, 6681, 12457, 29744, 26615, 269, 634, 26615, 3294, 568, 20027, 267, 855, 519, 15556, 666, 581, 5906, 563, 763, 30746, 540, 519, 2831, 24011, 910, 4470, 593, 519, 4365, 910, 538, 4989, 610, 2904, 543, 979, 998, 1585, 5933, 540, 1646, 543, 12387, 1154, 538, 1896, 4374, 563, 763, 24827, 540, 519, 30746, 2270, 519, 2121, 1479, 8914, 774, 320, 636, 564, 641, 4141, 514, 269, 1358, 10460, 606, 8650, 1072, 9651, 547, 1004, 563, 309, 2723, 550, 13027, 6547, 2009, 454, 6097, 547, 4966, 267, 519, 5386, 588, 15781, 4552, 666, 581, 5645, 936, 1279, 9883, 676, 15028, 2011, 14768, 563, 6097, 547, 519, 13722, 29017, 3415, 3557, 2657, 8433, 630, 301, 299, 16598, 1070, 789, 666, 2611, 6757, 585, 909, 547, 513, 1032, 563, 306, 7219, 3346, 610, 32480, 666, 1291, 547, 13027, 2589, 563, 10454, 13027, 5114, 540, 519, 4761, 1062, 666, 4268, 4922, 2437, 6941, 519, 28554, 4115, 3557, 4659, 585, 5983, 7370, 543, 32645, 630, 299, 310, 293, 264, 593, 922, 3896, 563, 10454, 8417, 543, 5114, 8515, 540, 4299, 1004, 4679, 609, 519, 1297, 540, 1367, 17066, 540, 18073, 1184, 542, 8095, 1676, 24827, 2437, 1767, 519, 4966, 563, 763, 6093, 2589, 1331, 2199, 30919, 630, 322, 831, 18339, 541, 27150, 1070, 799, 616, 6829, 538, 5544, 23551, 2287, 540, 519, 2960, 267, 13581, 11926, 267, 4049, 21422, 543, 8781, 563, 1103, 1840, 267, 765, 1023, 1419, 1106, 782, 936, 519, 1560, 269, 834, 296, 337, 761, 566, 547, 519, 5023, 543, 17725, 11940, 6242, 998, 32480, 540, 519, 4552, 666, 1291, 547, 32583, 267, 11213, 23472, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2715, 2715, 272, 348, 936, 2715, 325, 348, 7684, 815, 2715, 2715, 272, 348, 936, 2715, 272, 834, 1701, 834, 3607, 3269, 21636, 257, 348, 7684, 815, 271, 834, 1701, 834, 278, 4391, 3269, 521, 257, 348, 2715, 10592, 30206, 692, 763, 2418, 540, 1269, 22721, 2450, 476, 1321, 346, 307, 348, 2715, 4151, 543, 1269, 742, 2450, 476, 1321, 346, 325, 348, 2715, 4151, 1312, 3100, 827, 1318, 585, 513, 536, 23395, 1286, 269, 1411, 666, 7747, 891, 14251, 725, 952, 596, 7903, 1524, 2182, 593, 519, 1439, 540, 513, 1286, 543, 1577, 979, 780, 258, 634, 13017, 1063, 11822, 15053, 4577, 18289, 543, 31515, 692, 2162, 634, 13017, 1063, 11822, 15053, 4577, 18289, 543, 31515, 692, 2252, 513, 942, 7721, 17068, 8523, 540, 519, 536, 23395, 1286, 941, 3144, 607, 621, 22755, 676, 267, 519, 2212, 2775, 1131, 1118, 513, 11500, 833, 1792, 752, 267, 607, 3254, 538, 7612, 476, 1626, 269, 1015, 269, 6684, 267, 7612, 476, 1626, 269, 1556, 2982, 606, 1843, 536, 23395, 593, 513, 5614, 607, 621, 3762, 513, 11500, 833, 834, 10177, 576, 540, 922, 2990, 593, 513, 3001, 14816, 540, 1957, 269, 5637, 6329, 616, 20534, 3252, 269, 2353, 2241, 23191, 5163, 568, 703, 2954, 1644, 547, 20534, 543, 25482, 6329, 780, 8201, 476, 1626, 269, 1015, 634, 536, 23395, 1286, 2306, 513, 11500, 833, 5163, 269, 1403, 519, 19620, 3196, 538, 519, 20022, 1062, 666, 581, 4330, 1152, 676, 670, 5622, 651, 779, 1876, 267, 1287, 519, 5951, 568, 513, 20534, 1599, 269, 634, 5951, 568, 519, 10250, 3812, 676, 519, 2212, 2775, 607, 519, 1286, 7575, 547, 519, 1318, 563, 8201, 476, 1626, 269, 1556, 634, 7299, 2990, 540, 606, 1843, 536, 23395, 593, 513, 5614, 568, 6592, 593, 513, 14816, 540, 3001, 1957, 267, 6028, 513, 20534, 5951, 780, 763, 12761, 607, 513, 1599, 540, 942, 512, 538, 1022, 2241, 23191, 5163, 20196, 568, 267, 835, 538, 799, 519, 2121, 19620, 3196, 666, 581, 4330, 676, 670, 5622, 651, 779, 1876, 267, 568, 2016, 676, 692, 1626, 269, 736, 1269, 343, 512, 815, 2473, 5430, 476, 273, 12631, 339, 570, 2073, 1535, 512, 815, 2473, 5430, 476, 273, 12631, 339, 570, 2073, 2450, 476, 1321, 12757, 2451, 630, 339, 1318, 3738, 284, 311, 257, 6523, 257, 2715, 2715, 273, 11027, 339, 348, 936, 2715, 307, 348, 7684, 7684, 2715, 10592, 3602, 1269, 18958, 2450, 476, 1321, 346, 311, 348, 2715, 4151, 568, 17931, 269, 2311, 1269, 339, 284, 271, 339, 284, 271, 2450, 476, 1321, 346, 339, 284, 271, 348, 2715, 20954, 519, 3355, 2990, 568, 1269, 343, 271, 284, 311, 343, 271, 284, 311, 2450, 476, 1321, 12757, 678, 8138, 2715, 2450, 476, 279, 346, 271, 348, 7684, 815, 311, 348, 2715, 20954, 543, 519, 12761, 14251, 919, 1394, 543, 8521, 609, 513, 1974, 1269, 22721, 10608, 630, 2691, 1269, 339, 284, 307, 339, 284, 307, 8961, 649, 1205, 1269, 343, 284, 311, 343, 284, 311, 2450, 476, 1321, 12757, 284, 311, 348, 2715, 4151, 1586, 1317, 1269, 6523, 273, 11027, 284, 272, 6523, 273, 11027, 284, 272, 10608, 1040, 5015, 267, 689, 713, 4082, 585, 1269, 16282, 2450, 476, 1321, 12757, 348, 2715, 20954, 519, 6991, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 4151, 607, 513, 1599, 540, 942, 568, 2016, 676, 692, 1626, 269, 2641, 1269, 341, 6025, 6661, 6629, 341, 10946, 7562, 273, 11027, 339, 307, 267, 341, 6025, 6661, 6629, 341, 10946, 7562, 273, 11027, 339, 307, 267, 2450, 476, 1321, 28452, 3230, 339, 2330, 815, 910, 642, 678, 8138, 2715, 2450, 476, 279, 346, 257, 10946, 257, 348, 7684, 834, 7562, 257, 2451, 630, 2715, 2715, 273, 11027, 339, 348, 936, 2715, 307, 348, 7684, 1318, 3738, 348, 2715, 10592, 3602, 1269, 341, 10946, 284, 273, 11027, 311, 20081, 284, 311, 330, 8276, 341, 10946, 284, 273, 11027, 311, 20081, 284, 311, 330, 8276, 2450, 476, 1321, 28452, 678, 8138, 2715, 2450, 476, 279, 346, 257, 10946, 257, 348, 7684, 815, 273, 11027, 311, 20081, 284, 311, 21762, 2715, 330, 8276, 348, 7684, 2715, 23201, 634, 1843, 814, 4642, 6991, 693, 5021, 12761, 1765, 1721, 1383, 267, 1269, 341, 284, 271, 341, 284, 271, 2450, 476, 1321, 28452, 284, 271, 348, 2715, 4151, 950, 1269, 339, 284, 271, 339, 284, 271, 2450, 476, 1321, 346, 339, 284, 271, 348, 2715, 20954, 543, 693, 602, 942, 1269, 343, 284, 311, 343, 284, 311, 2450, 476, 1321, 12757, 284, 311, 348, 2715, 23201, 634, 14263, 1129, 538, 519, 1101, 3830, 585, 1269, 341, 6025, 264, 341, 6025, 264, 2450, 476, 1321, 28452, 3230, 339, 2330, 7684, 2715, 4151, 3947, 519, 2953, 4287, 585, 519, 6991, 269, 3807, 1310, 519, 1376, 540, 519, 5163, 267, 585, 3236, 267, 519, 6991, 568, 2942, 1317, 519, 1062, 568, 3001, 1394, 4724, 519, 11466, 1448, 269, 7053, 267, 649, 666, 1205, 606, 4082, 585, 10231, 1210, 13053, 779, 2034, 1876, 269, 1496, 10190, 649, 723, 1269, 343, 6025, 1070, 642, 6025, 1070, 512, 21726, 6025, 1070, 642, 6025, 1070, 512, 267, 2450, 476, 1321, 12757, 3230, 339, 2330, 2073, 341, 3230, 339, 2330, 2073, 339, 348, 2715, 4151, 543, 1269, 320, 6025, 264, 320, 6025, 264, 2450, 476, 1321, 21151, 3230, 339, 2330, 7684, 2715, 20954, 519, 9424, 2877, 585, 10252, 14670, 923, 543, 513, 6609, 540, 2241, 23191, 5163, 20426, 4340, 547, 13053, 779, 2034, 1876, 267, 519, 10231, 568, 1269, 320, 284, 293, 8276, 284, 330, 343, 270, 2742, 284, 293, 8276, 284, 330, 343, 8276, 2450, 476, 1321, 21151, 284, 293, 8276, 284, 24495, 834, 330, 343, 257, 270, 332, 348, 2715, 23201, 1924, 267, 1269, 320, 6025, 264, 320, 6025, 264, 2450, 476, 1321, 21151, 3230, 339, 2330, 7684, 2715, 4151, 568, 849, 513, 25482, 1599, 1384, 1626, 269, 2420, 1269, 320, 630, 512, 3738, 815, 6567, 737, 311, 544, 5430, 476, 273, 11027, 512, 570, 1547, 513, 630, 512, 3738, 815, 6567, 737, 311, 544, 5430, 476, 273, 11027, 512, 570, 1547, 2450, 476, 1321, 21151, 3230, 339, 2330, 815, 910, 2715, 2715, 24495, 834, 330, 311, 257, 348, 936, 2715, 332, 348, 7684, 834, 5430, 834, 2715, 2715, 273, 11027, 512, 348, 936, 2715, 307, 348, 7684, 7684, 2715, 10592, 17798, 267, 1269, 320, 6025, 264, 320, 6025, 264, 2450, 476, 1321, 21151, 3230, 339, 2330, 7684, 2715, 4151, 568, 2047, 14354, 547, 543, 538, 519, 6587, 4287, 547, 1269, 343, 6025, 32589, 6025, 7751, 780, 8201, 476, 1626, 269, 1321, 2982, 519, 2241, 23191, 5163, 540, 606, 1843, 593, 513, 5614, 543, 6799, 11708, 540, 1269, 343, 6025, 1070, 642, 6025, 1070, 1535, 6025, 1070, 642, 6025, 1070, 2450, 476, 1321, 12757, 3230, 339, 2330, 2073, 341, 3230, 339, 2330, 7684, 2715, 4151, 543, 1269, 320, 6025, 264, 320, 6025, 264, 2450, 476, 1321, 21151, 3230, 339, 2330, 7684, 2715, 4151, 8957, 942, 780, 8201, 476, 1626, 269, 1321, 28977, 540, 1269, 343, 6025, 1070, 341, 6025, 1070, 343, 6025, 1070, 341, 6025, 1070, 2450, 476, 1321, 12757, 3230, 339, 2330, 2073, 341, 3230, 339, 2330, 7684, 2715, 4151, 543, 1269, 320, 6025, 264, 320, 6025, 264, 2450, 476, 1321, 346, 319, 320, 3230, 339, 2330, 7684, 2715, 4151, 8957, 1269, 1777, 2450, 476, 1321, 346, 339, 348, 2715, 4151, 585, 519, 5163, 540, 606, 1843, 593, 513, 5614, 269, 634, 2121, 3196, 593, 519, 1843, 666, 581, 4330, 676, 670, 5622, 651, 779, 1876, 267, 543, 865, 519, 1843, 25457, 2241, 23191, 5163, 269, 8074, 602, 519, 3355, 2990, 814, 519, 7299, 12761, 693, 922, 5021, 1871, 1269, 18958, 2450, 476, 1321, 346, 311, 348, 2715, 4151, 282, 1269, 341, 341, 2450, 476, 1321, 28452, 348, 2715, 4151, 568, 7620, 4642, 543, 1287, 2942, 607, 519, 1843, 7575, 1524, 282, 543, 519, 3355, 10231, 568, 2942, 267, 1394, 4724, 519, 11466, 2990, 543, 3587, 4642, 693, 602, 1448, 780, 763, 1034, 1271, 1448, 1934, 568, 602, 891, 4834, 616, 28879, 3551, 543, 616, 4570, 585, 782, 2241, 23191, 5163, 269, 1358, 616, 1360, 3730, 538, 3308, 1944, 6329, 2404, 609, 2241, 23191, 5163, 267, 1519, 3308, 1944, 875, 6329, 1039, 609, 835, 1776, 780, 22428, 596, 726, 3089, 513, 7333, 14765, 5569, 269, 1411, 5873, 513, 2582, 4063, 602, 6238, 856, 10978, 543, 7444, 26982, 1115, 936, 942, 269, 14674, 1018, 4523, 547, 519, 3280, 6329, 538, 2474, 540, 1974, 267, 4908, 543, 17931, 607, 519, 3280, 11081, 538, 4320, 780, 2971, 8827, 692, 293, 15968, 543, 1974, 2611, 9247, 24240, 269, 8307, 17931, 11081, 607, 4320, 11081, 780, 288, 3777, 903, 7867, 568, 11319, 513, 1126, 593, 513, 18711, 269, 2311, 519, 1448, 1141, 519, 18711, 10301, 1269, 16282, 2450, 476, 1321, 12757, 348, 2715, 20954, 1141, 1131, 519, 7222, 1448, 593, 513, 5951, 540, 713, 5163, 581, 4092, 888, 259, 16282, 2450, 476, 1321, 12757, 348, 2715, 4151, 568, 519, 5021, 22636, 267, 799, 14687, 547, 519, 17931, 540, 519, 5951, 269, 634, 1448, 593, 519, 5951, 1131, 2901, 581, 693, 519, 1360, 1283, 610, 519, 1360, 5377, 540, 519, 7455, 269, 0, 258, 11822, 15053, 4577, 18289, 692, 24591, 713, 7300, 607, 1384, 23917, 281, 533, 343, 454, 9359, 4159, 693, 2985, 1384, 1012, 3690, 5524, 692, 272, 476, 276, 11822, 15053, 4577, 18289, 8074, 281, 713, 3296, 568, 711, 851, 540, 519, 21038, 585, 11682, 22076, 2918, 269, 1411, 1058, 2907, 581, 5432, 609, 2241, 23191, 5163, 689, 707, 1101, 1032, 1576, 11682, 12893, 744, 12965, 725, 543, 31515, 269, 901, 3296, 568, 3769, 585, 1264, 28467, 543, 607, 513, 12576, 269, 476, 276, 269, 272, 11822, 15053, 4577, 18289, 901, 568, 835, 540, 519, 1034, 1271, 9259, 538, 6323, 281, 621, 10039, 547, 519, 6609, 540, 1507, 14251, 725, 540, 1022, 1062, 827, 513, 2990, 540, 7123, 11466, 269, 4518, 538, 835, 10155, 267, 865, 602, 835, 11282, 6257, 519, 2990, 540, 519, 1062, 630, 324, 3052, 269, 519, 12761, 689, 519, 11466, 2990, 540, 513, 5614, 267, 519, 5086, 540, 513, 28764, 689, 519, 7299, 1040, 8307, 15061, 4229, 798, 960, 267, 865, 972, 568, 513, 1761, 966, 630, 343, 1040, 7994, 10974, 865, 602, 1535, 815, 568, 513, 2990, 540, 7123, 11466, 269, 901, 1797, 674, 3287, 284, 264, 815, 6902, 546, 341, 15848, 815, 2433, 1306, 1279, 607, 1535, 3788, 1507, 267, 649, 666, 4228, 519, 1761, 281, 966, 630, 343, 264, 815, 966, 20465, 1341, 1535, 341, 20465, 1535, 273, 966, 20465, 1341, 1717, 267, 966, 20465, 815, 267, 2094, 1535, 815, 568, 513, 2990, 540, 11466, 267, 865, 519, 1101, 12045, 2165, 8709, 8460, 269, 2913, 1154, 737, 815, 966, 20465, 630, 330, 568, 1175, 519, 3196, 3586, 585, 513, 5614, 3196, 264, 543, 7446, 938, 4642, 540, 1761, 1648, 865, 602, 966, 20465, 815, 267, 649, 1265, 281, 966, 630, 343, 264, 815, 476, 272, 476, 273, 737, 343, 273, 1341, 2433, 634, 7222, 3196, 568, 674, 3287, 264, 815, 737, 343, 269, 1284, 11716, 519, 2027, 2013, 737, 815, 267, 950, 519, 7269, 540, 966, 5956, 693, 2362, 1931, 269, 1403, 737, 2999, 1287, 519, 11466, 568, 18633, 267, 543, 519, 1062, 786, 1847, 856, 540, 519, 3148, 1141, 938, 19406, 568, 4570, 269, 9747, 649, 786, 1413, 693, 771, 2897, 906, 1472, 7158, 540, 7123, 11466, 585, 799, 737, 3436, 269, 1284, 5581, 513, 11822, 15053, 4577, 744, 12965, 1807, 607, 513, 835, 8820, 1966, 609, 281, 966, 630, 343, 264, 815, 476, 272, 476, 273, 737, 343, 273, 815, 476, 272, 476, 273, 544, 22886, 273, 1535, 476, 273, 1141, 737, 3436, 543, 649, 723, 3989, 28911, 476, 273, 815, 737, 284, 332, 269, 589, 2527, 14251, 908, 593, 513, 670, 5622, 651, 521, 1876, 5614, 568, 513, 2241, 23191, 14251, 1807, 269, 9540, 14251, 725, 540, 513, 2241, 28764, 616, 2241, 23191, 269, 476, 5392, 692, 273, 476, 276, 476, 276, 11822, 15053, 4577, 18289, 4937, 8827, 634, 3830, 540, 5163, 585, 519, 2241, 23191, 14251, 1807, 568, 476, 17554, 491, 1341, 28911, 476, 273, 1535, 815, 2433, 901, 568, 513, 2034, 1931, 24267, 5276, 11186, 3830, 267, 2495, 602, 519, 5207, 12045, 17729, 568, 513, 2034, 1931, 835, 267, 1142, 2165, 593, 519, 2451, 3568, 4010, 835, 1379, 540, 1535, 267, 476, 17554, 489, 610, 476, 17554, 491, 630, 11004, 568, 1100, 476, 17554, 489, 2165, 538, 713, 2013, 264, 543, 972, 568, 1100, 2165, 630, 320, 3586, 610, 513, 1599 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 267, 476, 273, 267, 476, 275, 267, 476, 277, 267, 476, 274, 267, 476, 276, 267, 476, 278, 454, 825, 23288, 825, 1820, 14116, 1429, 6155, 1111, 263, 272, 4917, 825, 1820, 14116, 1429, 6155, 1111, 23631, 15479, 633, 263, 272, 11723, 825, 23288, 825, 4406, 573, 645, 12396, 2619, 912, 1038, 1496, 272, 267, 476, 273, 267, 476, 275, 267, 476, 277, 2639, 825, 23288, 825, 1820, 14116, 1429, 269, 8578, 338, 263, 272, 267, 476, 277, 11723, 825, 23288, 825, 4406, 573, 667, 12396, 10092, 912, 1038, 1496, 272, 267, 476, 273, 267, 476, 275, 267, 476, 277, 2639, 1038, 1496, 272, 267, 476, 273, 267, 476, 275, 267, 476, 278, 267, 476, 277, 2639, 825, 23288, 825, 1820, 14116, 1429, 269, 4206, 338, 263, 272, 267, 476, 277, 4917, 825, 1820, 14116, 1429, 269, 4206, 338, 23631, 15479, 633, 263, 272, 267, 476, 277, 4917 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1044, 8032, 543, 18170, 676, 3140, 543, 1514, 4229, 563, 8170, 1576, 267, 972, 616, 3606, 2533, 602, 666, 581, 10288, 538, 513, 10189, 610, 14384, 267, 855, 3246, 938, 5561, 609, 5140, 4574, 568, 519, 3119, 6161, 540, 23600, 563, 30108, 16555, 267, 2875, 6547, 547, 16555, 267, 543, 2875, 26941, 2170, 609, 1142, 824, 538, 513, 23773, 1259, 269, 3371, 568, 930, 3606, 5796, 593, 1880, 2042, 1455, 547, 1007, 3621, 5830, 269, 3194, 4030, 585, 519, 4928, 6032, 269, 5440, 540, 8525, 14674, 519, 11248, 521, 1031, 538, 519, 1353, 563, 2005, 568, 1175, 1932, 1271, 547, 4688, 2724, 593, 621, 563, 763, 4070, 540, 7858, 7007, 2495, 281, 634, 17796, 540, 18438, 538, 700, 273, 5675, 1703, 616, 1896, 2081, 547, 1589, 827, 5470, 538, 1603, 538, 1769, 540, 1018, 649, 917, 827, 2034, 1893, 11601, 543, 1018, 649, 917, 827, 875, 5931, 267, 2796, 543, 519, 1603, 1184, 2170, 609, 835, 1776, 563, 763, 800, 543, 2259, 540, 1603, 281, 634, 5912, 883, 4612, 633, 1893, 666, 581, 513, 31868, 2044, 9386, 7868, 8830, 16746, 2160, 6732, 5675, 6997, 5713, 5830, 689, 1472, 519, 1158, 543, 519, 8830, 16746, 2160, 5675, 6997, 2337, 5830, 593, 8830, 16746, 781, 13464, 269, 31687, 908, 936, 1776, 1957, 286, 1411, 1223, 581, 2348, 1187, 3079, 563, 24576, 1557, 1603, 2533, 1934, 543, 1831, 519, 1483, 4487, 540, 707, 942, 269, 3502, 1175, 1776, 1382, 1957, 1603, 3028, 563, 763, 10782, 851, 540, 519, 2856, 540, 2688, 1603, 2533, 568, 602, 621, 781, 11212, 2352, 547, 1265, 513, 1434, 835, 269, 476, 278, 17778, 547, 5675, 513, 4279, 3194, 7433, 269, 676, 595, 4331, 918, 11839, 9466, 269, 1306, 596, 2253, 2921, 811, 5580, 7400, 6030, 267, 596, 949, 581, 1253, 5962, 547, 1265, 602, 707, 9344, 554, 16636, 593, 835, 7084, 12544, 2101, 1382, 1957, 563, 15697, 2688, 3594, 267, 2165, 4574, 267, 1382, 4574, 267, 5359, 267, 8039, 543, 6780, 10467, 269, 12333, 2688, 1603, 3028, 3091, 1164, 2298, 543, 11613, 17096, 1863, 4081, 4574, 269, 32285, 5777, 543, 2854, 689, 15072, 676, 3810, 11727, 4081, 5830, 563, 13553, 5678, 5675, 543, 3194, 281, 634, 5675, 6713, 543, 18438, 5811, 538, 9906, 31157, 269, 2977, 22828, 3733, 956, 10348, 781, 2160, 6185, 5877, 0, 3528, 6276, 853, 984, 2795, 454, 2304, 2653, 3562, 14025, 4116, 779, 25129, 630, 1729, 581, 1031, 609, 1977, 9085, 20194, 264, 14592, 16159, 9072, 609, 1169, 835, 28153, 267, 23478, 519, 3435, 547, 519, 10467, 543, 12353, 23736, 269, 519, 10700, 3992, 540, 519, 3018, 3568, 2901, 519, 6514, 267, 9633, 532, 4030, 693, 519, 3018, 779, 28153, 267, 538, 1840, 547, 3594, 9112, 2429, 519, 1184, 602, 3018, 779, 4983, 267, 5697, 676, 1797, 540, 519, 19829, 543, 20194, 547, 21160, 519, 17440, 585, 519, 1268, 15226, 563, 5649, 6732, 610, 8281, 1977, 9085, 7300, 454, 16032, 4974, 1299, 960, 9248, 2835, 454, 1432, 538, 519, 2680, 596, 1185, 3506, 4947, 950, 596, 2864, 982, 519, 6587, 4287, 5180, 286, 634, 6456, 2370, 9814, 540, 1153, 23504, 568, 602, 519, 5354, 31399, 625, 616, 5462, 269, 10371, 5462, 585, 8799, 1126, 27231, 945, 798, 2152, 1776, 1259, 543, 949, 1118, 741, 3786, 4926, 13085, 543, 4241, 269, 543, 849, 596, 1058, 711, 723, 547, 581, 606, 589, 20194, 267, 519, 7022, 540, 707, 16159, 26430, 267, 610, 519, 16771, 540, 519, 18487, 10259, 13520, 547, 798, 602, 563, 292, 7079, 5336, 3233, 1451, 543, 10146, 2029, 8313, 269, 1142, 835, 7274, 540, 1451, 543, 10146, 6639, 917, 24376, 13408, 476, 2767, 15923, 543, 1272, 899, 5708, 8941, 602, 1699, 2029, 1543, 1570, 269, 634, 8941, 4308, 609, 18697, 6537, 689, 519, 18487, 2029, 18375, 7355, 269, 1703, 616, 8941, 1369, 519, 3334, 540, 6228, 6639, 917, 24376, 267, 4890, 2029, 267, 3618, 543, 2777, 6639, 917, 24376, 267, 543, 2029, 543, 6791, 563, 268, 4787, 559, 995, 5384, 5004, 630, 22923, 6363, 7037, 20929, 994, 268, 5455, 707, 9344, 281, 8810, 2994, 585, 4081, 1967, 454, 268, 634, 6153, 3194, 6651, 281, 585, 1507, 8397, 1514, 1382, 3785, 454, 268, 16387, 540, 1374, 2433, 513, 23519, 454, 268, 10558, 532, 1715, 5678, 630, 23682, 5112, 17943, 994, 268, 634, 17726, 7335, 6092, 454, 21206, 9623, 585, 1977, 9085, 454, 291, 1204, 532, 519, 2698, 6060, 693, 519, 1439, 540, 519, 1576, 676, 476, 4097, 786, 1683, 513, 6871, 3446, 585, 519, 2875, 269, 1411, 949, 946, 519, 3044, 1062, 630, 3445, 268, 1911, 815, 589, 267, 476, 3199, 268, 8660, 815, 645, 267, 476, 3583, 268, 8064, 815, 595, 267, 476, 2568, 268, 7597, 815, 667, 267, 2630, 476, 2568, 815, 674, 1070, 610, 596, 949, 946, 707, 1378, 2123, 21249, 1062, 269, 3738, 547, 581, 18886, 4724, 1142, 3018, 779, 3803, 3446, 269, 901, 666, 581, 2944, 693, 519, 19829, 779, 24787, 543, 581, 3773, 883, 519, 2949, 6060, 540, 26840, 589, 610, 26840, 645, 269, 2608, 6423, 717, 15665, 16680, 18169, 593, 519, 1991, 2985, 585, 2594, 268, 15209, 5583, 269, 2776, 2183, 1977, 9085, 568, 513, 20116, 7400, 1576, 563, 8196, 519, 14745, 1657, 547, 25666, 6863, 6486, 540, 1007, 1913, 269, 3738, 901, 1576, 814, 1044, 2919, 547, 1450, 1614, 21249, 3681, 585, 513, 2385, 270, 14445, 1807, 269, 901, 2636, 835, 519, 8112, 547, 4188, 519, 6165, 540, 519, 1576, 1543, 547, 1367, 3871, 543, 8795, 4170, 269, 1280, 8897, 540, 21249, 267, 26840, 589, 630, 612, 904, 270, 1410, 4461, 264, 543, 26840, 645, 630, 612, 904, 270, 1410, 4461, 270, 935, 1061, 26767, 1496, 290, 289, 8079, 1312, 1683, 513, 2698, 12353, 6060, 540, 476, 1911, 2798, 585, 513, 1576, 2698, 540, 476, 274, 267, 6110, 2009, 2798, 269, 29435, 532, 519, 2698, 6060, 693, 519, 1439, 540, 519, 1576, 676, 476, 4097, 786, 1683, 513, 6871, 3446, 585, 519, 2875, 563, 2005, 13978, 1472, 269, 769, 1249, 267, 676, 519, 942, 540, 25424, 267, 2696, 1036, 28905, 2870, 519, 1158, 15587, 630, 7049, 8412, 476, 277, 267, 476, 279, 1040, 5345, 559, 24508, 513, 1268, 689, 2696, 269, 1306, 519, 2278, 8845, 3212, 1188, 3081, 267, 9409, 568, 561, 25829, 8686, 3887, 25250, 18807, 269, 898, 3217, 1272, 2476, 689, 1004, 269, 5345, 559, 729, 1360, 1454, 851, 540, 519, 1715, 11620, 269, 9232, 634, 1966, 568, 602, 11509, 1143, 7947, 338, 519, 10206, 540, 9409, 267, 610, 693, 2547, 3312, 5609, 269, 5345, 559, 568, 1945, 5007, 547, 812, 267, 711, 513, 535, 1170, 3293, 2470, 610, 21049, 547, 519, 1480, 2783, 269, 901, 568, 16609, 267, 540, 1576, 267, 547, 606, 31249, 4168, 563, 13563, 9085, 676, 6276, 853, 984, 2795, 0, 268, 901, 4277, 21519, 568, 540, 21730, 5169, 267, 543, 729, 1031, 607, 513, 28215, 585, 513, 1268, 609, 4023, 4552, 610, 513, 5469, 2406, 12779, 1950, 542, 269, 634, 2012, 568, 6508, 689, 519, 21730, 834, 326, 342, 2106, 2580, 1769, 267, 3043, 267, 4023, 269, 634, 2012, 729, 849, 1031, 607, 513, 2123, 2012, 538, 519, 5664, 12698, 269, 1717, 267, 538, 1034, 540, 519, 4505, 19827, 540, 519, 2012, 267, 621, 729, 1031, 607, 513, 676, 4067, 267, 513, 23243, 13423, 2867, 267, 610, 547, 2697, 1079, 581, 31600, 540, 519, 1482, 2012, 267, 971, 607, 3627, 654, 2106, 3284, 630, 5459, 540, 264, 670, 7676, 717, 342, 2106, 269, 717, 342, 2106, 928, 1590, 723, 2097, 689, 606, 2296, 4806, 267, 607, 21730, 1603, 568, 13093, 2045, 543, 519, 29038, 324, 257, 1131, 267, 4061, 267, 3132, 513, 22801, 12332, 269, 634, 2413, 21519, 666, 2356, 581, 1336, 607, 717, 342, 2106, 267, 717, 342, 2106, 333, 543, 717, 342, 2106, 928, 538, 3162, 12986, 543, 607, 654, 2106, 3799, 1070, 654, 2106, 928, 543, 654, 4883, 538, 3345, 12986, 269, 7324, 519, 3732, 19827, 538, 12986, 568, 519, 13171, 2287, 540, 3627, 267, 5067, 540, 631, 1301, 611, 8123, 717, 342, 2106, 928, 543, 6307, 717, 342, 11035, 332, 267, 593, 2904, 476, 274, 6113, 476, 14917, 280, 693, 11978, 333, 267, 538, 6601, 935, 269, 634, 1101, 6592, 10259, 540, 519, 1920, 2012, 568, 3254, 547, 581, 602, 540, 7338, 717, 342, 2106, 928, 267, 799, 729, 18584, 476, 16825, 272, 910, 476, 16825, 273, 267, 538, 519, 834, 8722, 564, 540, 674, 1149, 585, 5080, 9445, 2580, 1282, 519, 12081, 540, 3751, 8361, 966, 272, 267, 1634, 607, 834, 763, 674, 10133, 540, 661, 2023, 2580, 476, 16318, 273, 910, 476, 16825, 276, 269, 590, 1248, 1868, 2968, 2556, 950, 6608, 5189, 2123, 21259, 269, 769, 4789, 713, 729, 1634, 607, 15724, 12525, 269, 10801, 519, 5553, 267, 1147, 12849, 538, 1169, 2197, 723, 4797, 547, 834, 16467, 257, 1419, 3056, 547, 27314, 14726, 540, 519, 3312, 10259, 563, 306, 1248, 1868, 4704, 269, 476, 1001, 274, 563, 16100, 693, 824, 21594, 912, 294, 342, 2106, 928, 2443, 568, 339, 620, 338, 7352, 14397, 13153, 717, 342, 2106, 32489, 9267, 529, 29531, 544, 7564, 25699, 997, 615, 3768, 649, 756, 997, 615, 966, 1941, 877, 3768, 12259, 1329, 4067, 269, 769, 15595, 1206, 591, 2763, 747, 23036, 476, 272, 21601, 523, 1598, 7564, 3455, 476, 272, 269, 272, 631, 7564, 25699, 997, 615, 966, 1941, 877, 476, 272, 269, 273, 12259, 1329, 4067, 2560, 1546, 28852, 9504, 454, 294, 342, 2106, 928, 2443, 27367, 2012, 1294, 717, 342, 2106, 2560, 1715, 2051, 5586, 5573, 9218, 454, 294, 342, 2106, 928, 630, 8364, 264, 2443, 717, 342, 2106, 928, 729, 606, 2025, 3964, 4702, 2754, 1759, 538, 932, 529, 19213, 267, 5507, 267, 602, 1500, 6517, 1063, 476, 4572, 273, 543, 476, 4572, 280, 269, 898, 729, 1305, 909, 676, 19607, 850, 717, 342, 2106, 928, 267, 7015, 540, 681, 10967, 339, 543, 17029, 663, 717, 342, 2106, 928, 14371, 342, 2106, 928, 7177, 729, 8547, 538, 476, 7277, 280, 543, 1282, 2622, 2782, 476, 272, 2507, 2560, 9504, 454, 294, 342, 2106, 928, 23663, 2443, 717, 342, 2106, 928, 13153, 476, 4572, 274, 717, 342, 2106, 928, 568, 339, 32489, 552, 1335, 531, 9528, 12766, 29531, 4173, 560, 11839, 13153, 14825, 984, 559, 523, 269, 769, 15595, 1206, 591, 2763, 747, 23036, 476, 272, 1133, 614, 928, 327, 332, 839, 2471, 577, 747, 974, 2560, 1546, 28852, 9504, 454, 294, 342, 2106, 928, 1215, 749, 2443, 630, 333, 2946, 682, 476, 1724, 5104, 514, 476, 4350, 279, 20221, 717, 16017, 514, 523, 14193, 623, 904, 632, 11829, 525, 264, 1609, 796, 669, 14397, 584, 11430, 686, 4302, 630, 21353, 572, 264, 7086, 12251, 632, 15646, 2174, 19902, 3486, 324, 269, 4437, 1748, 773, 717, 342, 2106, 928, 1215, 749, 476, 18863, 644, 773, 546, 705, 867, 14193, 25480, 5441, 540, 8535, 513, 11355, 717, 342, 11035, 333, 13643, 267, 4996, 529, 20221, 700, 1180, 637, 513, 11355, 17305, 752, 541, 26689, 639, 269, 19129, 2560, 654, 7253, 2946, 29953, 679, 31839, 9820, 454, 294, 342, 2106, 928, 32139, 27213, 2443, 630, 272, 4989, 476, 3707, 271, 26998, 1662, 282, 1724, 4864, 476, 3422, 275, 264, 630, 9418, 2012, 3627, 7605, 5459, 9546, 2421, 610, 21969, 17879, 264, 729, 476, 2190, 1296, 2025, 950, 646, 543, 1010, 6104, 823, 8834, 20900, 19395, 2968, 519, 2063, 2367, 538, 519, 2136, 8003, 547, 581, 13401, 269, 1358, 941, 554, 6548, 585, 519, 12638, 540, 3627, 21142, 2507, 2560, 9504, 454, 294, 342, 2106, 928, 27213, 2443, 630, 20826, 476, 274, 267, 476, 6642, 271, 26998, 1662, 282, 5130, 476, 2641, 267, 476, 3422, 276, 264, 729, 606, 1977, 1954, 5598, 7669, 1067, 543, 1216, 1135, 334, 6345, 945, 2841, 539, 538, 519, 476, 5002, 275, 14400, 21396, 16638, 519, 476, 5002, 275, 21396, 646, 4465, 513, 19730, 1199, 1023, 607, 513, 4759, 540, 1977, 476, 275, 343, 2004, 13452, 1954, 5598, 20794, 2319, 543, 607, 2560, 9504, 454, 294, 342, 2106, 928, 1215, 749, 2443, 630, 9799, 4873, 476, 1724, 267, 476, 4350, 279, 264, 568, 513, 21730, 18369, 267, 3226, 2404, 609, 7638, 10972, 543, 25538, 1676, 5107, 11482, 1057, 543, 4876, 29820, 538, 717, 16017, 514, 517, 267, 12986, 267, 646, 6594, 693, 519, 681, 10157, 300, 267, 1141, 646, 31025, 700, 788, 648, 14561, 538, 13447, 267, 543, 670, 27448, 267, 674, 553, 27117, 267, 543, 623, 690, 1676, 538, 588, 3042, 2507, 2560, 9504, 454, 294, 342, 2106, 928, 667, 9807, 2443, 5606, 984, 2135, 12287, 2012, 815, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3811, 2173, 738, 28745, 922, 6455, 4557, 2053, 538, 519, 2250, 1079, 1296, 269, 1656, 538, 5824, 3013, 267, 769, 5115, 541, 2088, 8584, 10412, 23092, 2861, 20892, 4806, 539, 1310, 519, 693, 1961, 267, 513, 4235, 519, 2904, 534, 12075, 723, 3144, 585, 5553, 3620, 553, 13175, 1310, 1296, 540, 1646, 630, 663, 27685, 1143, 676, 519, 2372, 6033, 744, 1846, 7577, 264, 547, 581, 7608, 563, 2467, 568, 711, 513, 17736, 545, 6681, 1297, 540, 971, 3785, 269, 1703, 814, 1044, 2614, 1995, 267, 2705, 267, 547, 9959, 602, 1978, 2609, 616, 1898, 547, 1967, 281, 519, 1587, 1590, 581, 5493, 23534, 282, 621, 1590, 581, 20522, 282, 621, 1058, 581, 2147, 267, 952, 2009, 267, 547, 2472, 2907, 1634, 282, 621, 1058, 6451, 5820, 602, 616, 12725, 2139, 630, 528, 5732, 865, 5148, 621, 1590, 581, 6484, 958, 14984, 563, 7212, 713, 1935, 3091, 3078, 7399, 267, 922, 4644, 1058, 711, 581, 9763, 856, 540, 2796, 269, 634, 3409, 540, 930, 1426, 3744, 602, 713, 568, 519, 2626, 547, 519, 3940, 1966, 568, 5310, 513, 3787, 23904, 27408, 2547, 585, 519, 1459, 269, 4014, 519, 5010, 1242, 267, 19775, 3940, 1426, 666, 581, 540, 1713, 1871, 547, 519, 4683, 4057, 267, 621, 3091, 1447, 4126, 547, 519, 4731, 333, 712, 1639, 1617, 6421, 2713, 538, 1875, 15065, 564, 1242, 6917, 2127, 563, 5194, 4277, 946, 540, 3282, 572, 2644, 538, 930, 2477, 1223, 581, 519, 834, 2023, 532, 540, 5144, 1701, 769, 3127, 267, 585, 1383, 267, 519, 7423, 325, 520, 1543, 540, 10889, 14900, 5144, 568, 811, 982, 5595, 602, 540, 10800, 781, 5144, 269, 1635, 4946, 3606, 3940, 267, 835, 666, 32561, 519, 7423, 325, 520, 1543, 543, 12701, 519, 2139, 5144, 3761, 269, 570, 11238, 814, 1044, 12913, 538, 519, 2250, 609, 1875, 19339, 3819, 5144, 268, 852, 19890, 538, 2110, 3761, 2429, 519, 1158, 269, 1717, 267, 4095, 1426, 3744, 723, 25282, 519, 2029, 547, 946, 3282, 23092, 20586, 538, 1747, 540, 32314, 5144, 27408, 9645, 4346, 563, 25748, 1454, 3007, 814, 849, 1044, 2016, 547, 3165, 3940, 13404, 267, 1776, 1434, 543, 20522, 3940, 5078, 585, 12256, 269, 634, 1646, 540, 674, 10422, 5861, 269, 814, 4553, 513, 22586, 4155, 268, 18034, 538, 519, 2136, 2276, 269, 1717, 267, 1256, 1934, 519, 4505, 1609, 4854, 1843, 542, 547, 10438, 519, 2898, 3165, 15151, 814, 1631, 1044, 7753, 269, 634, 1482, 568, 3020, 540, 1585, 2930, 9465, 267, 607, 568, 10630, 538, 519, 2487, 13170, 540, 1079, 674, 10422, 5861, 269, 3157, 676, 519, 772, 269, 590, 269, 5253, 543, 10684, 10029, 269, 12551, 568, 519, 1034, 896, 583, 28895, 6671, 1426, 2707, 268, 27665, 532, 585, 1152, 476, 272, 2600, 540, 519, 1158, 781, 2698, 1426, 4616, 269, 32114, 602, 7839, 2686, 543, 3909, 9184, 30139, 666, 581, 7753, 267, 519, 946, 540, 3165, 538, 8396, 1154, 22926, 814, 1390, 1761, 563, 288, 1297, 540, 824, 3940, 8906, 723, 1044, 1500, 540, 3735, 1606, 727, 693, 713, 1448, 8047, 1225, 3930, 885, 267, 1866, 2357, 3101, 593, 2257, 5708, 269, 1809, 741, 1761, 568, 1932, 1271, 547, 26777, 269, 25547, 1516, 9645, 3007, 568, 519, 19175, 540, 6721, 17580, 3940, 676, 3395, 2582, 16052, 7103, 593, 2067, 3154, 267, 19386, 267, 10448, 22837, 610, 1256, 5755, 634, 10656, 26425, 6828, 267, 585, 1383, 267, 814, 1336, 513, 24059, 799, 3096, 15655, 267, 513, 2067, 3154, 267, 607, 922, 6852, 2707, 540, 1648, 585, 12093, 269, 1452, 4551, 2270, 827, 476, 2004, 2600, 3940, 267, 543, 267, 2687, 547, 772, 269, 590, 269, 6484, 626, 3220, 269, 3026, 9109, 2480, 3234, 3333, 1177, 281, 834, 2467, 568, 2370, 8969, 602, 27357, 543, 14312, 2582, 1591, 2472, 9001, 1648, 689, 19386, 610, 2067, 3154, 666, 581, 2919, 543, 3812, 538, 3592, 19957, 9424, 1369, 513, 8717, 1701, 314, 4512, 316, 2368, 3744, 616, 6158, 538, 2474, 540, 1614, 547, 2947, 1296, 269, 1325, 2819, 267, 1079, 2929, 6550, 540, 19386, 2861, 3049, 616, 1373, 1031, 547, 3170, 1084, 12418, 543, 16738, 538, 513, 6739, 1382, 1788, 269, 589, 2147, 834, 7065, 15950, 2732, 257, 4603, 568, 1373, 5342, 609, 14918, 538, 13280, 563, 763, 1761, 5383, 616, 1082, 281, 519, 3448, 11606, 540, 19386, 267, 1256, 538, 1426, 6879, 677, 2477, 282, 519, 7115, 689, 20296, 24604, 282, 519, 1507, 2230, 10421, 282, 519, 991, 585, 1152, 513, 1906, 23390, 282, 543, 519, 4028, 2208, 2557, 269, 2353, 891, 2303, 519, 7872, 540, 19957, 812, 13402, 3940, 2504, 269, 4107, 540, 519, 1158, 781, 1804, 19386, 3549, 616, 7184, 1266, 1484, 539, 538, 3940, 3785, 269, 2368, 616, 8362, 23712, 609, 2101, 1426, 3549, 1606, 1276, 607, 519, 1699, 10507, 810, 21610, 652, 331, 2946, 561, 807, 2581, 269, 634, 7022, 540, 13323, 13813, 5063, 10567, 602, 3940, 1426, 786, 1831, 513, 1713, 676, 1790, 6055, 540, 519, 3282, 2872, 563, 26199, 9345, 814, 8854, 2417, 269, 834, 300, 20488, 257, 814, 1044, 3812, 689, 1216, 27940, 8898, 3762, 269, 7256, 15634, 543, 13479, 616, 824, 3940, 7399, 4867, 1373, 8947, 269, 630, 288, 3943, 2754, 5063, 4362, 606, 3003, 4639, 3979, 8498, 6707, 1210, 13479, 607, 922, 2596, 3940, 2707, 4700, 13518, 960, 3788, 267, 2705, 267, 547, 2087, 5493, 520, 1464, 543, 547, 1265, 2081, 540, 6721, 17215, 15164, 2472, 563, 26473, 1600, 2242, 540, 1426, 6208, 267, 16832, 547, 519, 1967, 540, 1082, 540, 519, 1657, 4485, 267, 1459, 606, 25412, 21677, 269, 4014, 972, 568, 606, 1271, 9756, 1063, 8192, 4441, 543, 829, 21027, 4747, 267, 1426, 6208, 849, 723, 2620, 5626, 5072, 543, 616, 2404, 609, 2648, 267, 15754, 267, 14246, 267, 1582, 268, 13548, 543, 1514, 31449, 269, 1306, 513, 1267, 267, 972, 568, 5310, 1100, 2460, 540, 2123, 1272, 1447, 8465, 982, 835, 781, 4189, 4806, 269, 19884, 2090, 540, 31512, 1014, 11082, 547, 5333, 7152, 602, 2242, 538, 741, 1426, 6208, 7018, 1279, 1310, 789, 1185, 7608, 519, 1893, 543, 14786, 540, 741, 7550, 2197, 269, 7827, 2501, 2182, 267, 1256, 1851, 519, 1034, 10427, 2609, 540, 2486, 269, 1215, 1082, 7189, 267, 585, 1383, 267, 723, 12012, 741, 14254, 6208, 7308, 597, 4616, 540, 5798, 267, 7423, 267, 8645, 267, 4006, 630, 663, 519, 1310, 22249, 752, 9724, 16906, 264, 538, 519, 3068, 540, 1072, 21855, 6933, 730, 538, 2487, 1296, 286, 18650, 547, 1689, 568, 1256, 6793, 538, 2757, 7239, 15877, 519, 5383, 540, 3573, 10618, 563, 2414, 21271, 1018, 3220, 269, 20152, 28927, 4016, 547, 607, 834, 1492, 19450, 6551, 7190, 257, 540, 16283, 11326, 267, 835, 1522, 9959, 602, 267, 950, 2009, 267, 8561, 1058, 581, 5116, 593, 1426, 6830, 2305, 543, 519, 1646, 543, 8691, 540, 1007, 8677, 540, 1164, 3491, 12888, 6079, 269, 26681, 519, 2681, 267, 9403, 6862, 6492, 540, 519, 1426, 991, 581, 4299, 269, 6684, 267, 1100, 1689, 1131, 581, 2838, 538, 4540, 9140, 267, 5986, 610, 4189, 6208, 563, 1607, 1281, 711, 9004, 519, 991, 585, 824, 4485, 610, 585, 513, 2178, 3872, 4674, 269, 769, 4000, 267, 585, 1383, 267, 930, 3494, 602, 27335, 525, 3132, 795, 16184, 823, 269, 769, 3127, 267, 835, 540, 519, 1906, 3536, 7608, 2429, 519, 2197, 568, 546, 531, 267, 1360, 1164, 538, 3940, 267, 855, 10355, 10480, 547, 519, 649, 22135, 10867, 1317, 540, 4652, 15903, 12194, 602, 621, 786, 2014, 9667, 2042, 543, 22638, 2669, 269, 769, 713, 3236, 267, 519, 2556, 3940, 547, 1832, 519, 1126, 2635, 568, 12777, 538, 519, 3993, 781, 15896, 269, 8616, 546, 531, 3335, 568, 10480, 1152, 547, 4079, 540, 519, 1920, 3887, 1597, 1498, 519, 3940, 4170, 540, 519, 10867, 616, 1079, 543, 835, 28451, 2053, 3152, 829, 4893, 334, 540, 1560, 2597, 563, 1103, 513, 4241, 1353, 540, 2242, 538, 18303, 1426, 6208, 267, 3220, 269, 8861, 28554, 569, 11943, 602, 519, 1034, 1271, 3310, 538, 519, 4367, 540, 1007, 3536, 32734, 19042, 1996, 519, 3310, 540, 14786, 267, 5925, 267, 8152, 27512, 267, 12543, 267, 3092, 11607, 529, 519, 4598, 540, 519, 1126, 547, 6484, 2069, 538, 1153, 269, 5822, 538, 7584, 568, 519, 11865, 540, 513, 1153, 12899, 267, 1256, 1510, 6101, 6484, 6044, 563, 763, 1804, 3292, 540, 1126, 8023, 1631, 896, 1259, 538, 1034, 3384, 2477, 616, 2933, 4543, 547, 2087, 4441, 540, 6484, 1532, 583, 1082, 3494, 789, 1223, 581, 6104, 5109, 811, 269, 10251, 267, 971, 3292, 4749, 598, 16694, 8323, 610, 17493, 269, 1306, 513, 1267, 267, 519, 1426, 568, 2356, 3177, 607, 606, 1439, 538, 3294, 267, 2864, 982, 547, 9585, 824, 1271, 3853, 8686, 714, 269, 17543, 556, 528, 1304, 532, 4189, 6208, 267, 6220, 6484, 2069, 883, 519, 6437, 267, 8716, 519, 946, 540, 2199, 21113, 267, 543, 4543, 547, 3715, 519, 2556, 8041, 547, 3136, 513, 1982, 1310, 1699, 13384, 832, 1100, 3476, 616, 3238, 563, 1103, 519, 2565, 1909, 5129, 676, 6683, 538, 2804, 1646, 267, 3119, 3007, 568, 543, 1058, 581, 2016, 547, 3152, 3484, 11729, 269, 1717, 267, 519, 991, 585, 811, 3007, 547, 519, 12007, 2427, 540, 1426, 2504, 568, 4742, 5051, 7805, 269, 3038, 1707, 540, 7850, 7727, 540, 10286, 25411, 1255, 568, 711, 2614, 267, 607, 814, 1044, 7152, 538, 6792, 267, 1141, 519, 11104, 3585, 3811, 5859, 547, 2333, 2949, 1426, 2504, 814, 711, 8507, 538, 3648, 10970, 11868, 7839, 22926, 1851, 1453, 269, 1323, 6221, 593, 519, 1699, 16786, 540, 519, 772, 12991, 269, 9483, 543, 4317, 7027, 10522, 602, 538, 6694, 4058, 267, 519, 9422, 2115, 540, 519, 2551, 543, 3226, 540, 519, 9251, 1126, 1058, 581, 3144, 883, 2272, 563, 7661, 267, 1100, 4901, 540, 2810, 3940, 3761, 568, 3617, 1510, 930, 2446, 540, 519, 960, 2877, 547, 2061, 521, 14184, 3940, 2530, 547, 7786, 267, 23224, 543, 9044, 269, 769, 3127, 267, 713, 814, 1044, 6059, 693, 909, 547, 2185, 2929, 9748, 513, 1032, 269, 4014, 972, 616, 1082, 2055, 2943, 547, 581, 12943, 7282, 519, 1034, 2500, 2553, 267, 6190, 1344, 568, 2907, 1634, 268, 18034, 538, 519, 2796, 540, 1697, 4859, 6703, 543, 2825, 1852, 16519, 2101, 3268, 547, 581, 3144, 5612, 563, 7212, 1034, 540, 519, 2556, 2200, 547, 8396, 22926, 949, 581, 11593, 693, 1688, 267, 519, 3070, 547, 713, 1966, 568, 676, 1100, 1797, 2241, 269, 9521, 519, 3811, 1982, 547, 30817, 13663, 267, 811, 982, 513, 666, 540, 10936, 568, 2877, 547, 20630, 713, 811, 829, 5371, 1190, 10546, 269, 5689, 19256, 568, 513, 15491, 1966, 8506, 513, 1071, 7238, 6113, 3990, 1935, 269, 4033, 982, 538, 513, 21603, 2631, 267, 713, 1281, 711, 1631, 2291, 563, 3080, 540, 519, 2596, 7965, 568, 519, 3668, 540, 13618, 1851, 519, 1082, 10459, 2324, 538, 519, 2361, 267, 543, 1419, 1851, 1082, 540, 519, 3744, 1369, 519, 1482, 9015, 269, 5689, 19256, 568, 606, 15834, 1966, 267, 855, 1142, 9015, 5991, 9173, 267, 1426, 2029, 267, 1072, 2069, 267, 6725, 268, 11148, 547, 581, 513, 3787, 936, 16162, 4184, 1441, 538, 1095, 21564, 922, 1378, 3070, 269, 1703, 568, 513, 2186, 540, 32601, 1612, 5255, 658, 1143, 602, 11151, 513, 2312, 2070, 540, 519, 14919, 1966, 563, 5194, 15641, 2939, 568, 519, 7934, 4749, 4540, 1063, 519, 3621, 2146, 543, 519, 1426, 2872, 11399, 7150, 1776, 1259, 267, 1063, 519, 8047, 543, 519, 1126, 781, 7181, 269, 769, 9759, 267, 519, 7411, 568, 835, 540, 8994, 27421, 269, 5253, 4853, 1235, 4749, 2543, 6484, 1235, 543, 1426, 1099, 5505, 607, 4081, 267, 32334, 2389, 10062, 2010, 945, 3668, 1022, 1620, 540, 519, 2042, 540, 6725, 269, 634, 14167, 5116, 593, 513, 9896, 4760, 2376, 568, 3622, 1454, 3152, 982, 602, 2016, 585, 519, 3006, 32462, 1246, 28443, 2838, 547, 2322, 891, 4681, 547, 946, 269, 769, 2490, 267, 1426, 26933, 616, 1419, 9228, 607, 593, 2730, 834, 2889, 325, 924, 619, 2437, 610, 693, 1655, 607, 834, 339, 10232, 5443, 1701, 634, 1267, 267, 538, 1082, 2477, 267, 568, 513, 3978, 3668, 540, 6086, 633, 5698, 563, 26170, 1776, 7411, 538, 1082, 3940, 1790, 3233, 2477, 6013, 538, 519, 3609, 543, 10618, 7934, 1063, 2229, 543, 519, 19679, 326, 1782, 1426, 2872, 269, 769, 930, 6082, 267, 4507, 11341, 547, 24416, 267, 14499, 543, 1426, 4441, 1419, 2014, 954, 2381, 762, 17799, 543, 17140, 269, 634, 1267, 568, 513, 4049, 22629, 540, 2208, 269, 769, 891, 2477, 267, 519, 6871, 540, 15271, 2469, 883, 21722, 960, 267, 1587, 1646, 543, 2344 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9016, 1161, 585, 16035, 16617, 538, 5755, 30187, 1379, 2371, 2008, 347, 4785, 279, 3066, 29204, 277, 1475, 13971, 476, 275, 267, 476, 1001, 272, 1475, 12914, 476, 2537, 267, 476, 1001, 273, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 3849, 9016, 1161, 585, 16035, 16617, 538, 5755, 30187, 1379, 2371, 2008, 347, 4785, 279, 4391, 26951, 273, 1475, 15037, 476, 275, 267, 476, 1001, 272, 1475, 15037, 476, 1321, 267, 476, 1001, 274, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 19686, 543, 1062, 585, 9013, 16035, 5434, 689, 5755, 30187, 8143, 3157, 2008, 347, 4785, 279, 4343, 28906, 272, 1475, 11321, 476, 1015, 267, 476, 1001, 272, 1475, 15037, 476, 2918, 267, 476, 1001, 274, 1475, 3849, 320, 7025, 10298, 267, 24510, 322, 1475, 31088, 585, 32561, 5123, 13297, 540, 3819, 22279, 2326, 2008, 347, 4785, 279, 5392, 6924, 280, 275, 1475, 12914, 476, 1839, 267, 476, 1001, 272, 1475, 19878, 476, 1789, 267, 476, 1001, 274, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 19686, 543, 1062, 585, 9013, 16035, 5434, 689, 5755, 30187, 8143, 3157, 2008, 347, 4785, 5952, 273, 275, 1704, 280, 1475, 12914, 476, 1839, 267, 476, 1001, 272, 1475, 20225, 476, 274, 267, 476, 1001, 274, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 31640, 20933, 1505, 543, 1062, 2008, 347, 4785, 5952, 277, 280, 736, 276, 1475, 19878, 476, 277, 267, 476, 1001, 271, 1475, 12914, 476, 3066, 267, 476, 1001, 274, 1475, 300, 2752, 7010, 267, 5549, 13954, 300, 4215, 585, 8851, 540, 17694, 689, 5714, 12535, 543, 1505, 540, 1818, 1482, 2008, 347, 4785, 279, 2568, 3445, 275, 276, 2608, 1475, 14257, 476, 2641, 267, 476, 1001, 271, 1475, 13356, 476, 1704, 267, 476, 1001, 274, 1475, 307, 615, 15879, 17384, 11660, 5549, 13954, 300, 11697, 5464, 1062, 543, 5114, 12068, 585, 7393, 7503, 540, 3693, 531, 16035, 3154, 883, 12444, 1242, 16035, 2008, 347, 4785, 279, 6507, 14681, 280, 1475, 9802, 476, 1015, 267, 476, 1001, 274, 1475, 19878, 476, 279, 267, 476, 1001, 275, 1475, 300, 2752, 7010, 267, 5549, 13954, 19686, 540, 4227, 513, 1377, 540, 17285, 2249, 12526, 540, 513, 5714, 2008, 347, 4785, 279, 4281, 275, 4037, 278, 1475, 12914, 476, 275, 267, 476, 1001, 273, 1475, 19878, 476, 2420, 267, 476, 1001, 275, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 21080, 2126, 1184, 585, 32561, 5123, 13297, 540, 3819, 22279, 2326, 2008, 347, 4785, 6434, 278, 277, 4817, 279, 1475, 13356, 476, 274, 267, 476, 1001, 273, 1475, 22261, 476, 275, 267, 476, 1001, 275, 1475, 5141, 926, 656, 15278, 1475, 4467, 6570, 543, 1184, 585, 16035, 8851, 2008, 347, 4785, 31229, 29616, 280, 1475, 14257, 476, 1556, 267, 476, 1001, 274, 1475, 22261, 476, 1556, 267, 476, 1001, 275, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 6944, 1503, 540, 6632, 28103, 828, 16617, 28166, 543, 676, 28237, 6051, 2008, 347, 4785, 279, 4817, 16825, 278, 1475, 21801, 476, 1240, 267, 476, 1001, 274, 1475, 15037, 476, 1015, 267, 476, 1001, 276, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 31640, 20933, 1505, 543, 1062, 2008, 347, 4785, 8660, 278, 275, 4037, 277, 1475, 19878, 476, 1839, 267, 476, 1001, 274, 1475, 11321, 476, 1015, 267, 476, 1001, 276, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 31088, 547, 3986, 11544, 540, 3819, 521, 12643, 757, 543, 1166, 826, 3154, 585, 2011, 5533, 1852, 2008, 347, 4785, 3445, 272, 278, 3393, 273, 1475, 22261, 476, 1691, 267, 476, 1001, 273, 1475, 14257, 476, 2764, 267, 476, 1001, 276, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 21902, 543, 1505, 585, 10053, 5123, 521, 12643, 550, 13297, 2008, 347, 4785, 280, 1691, 280, 4037, 280, 1475, 21801, 476, 274, 267, 476, 1001, 275, 1475, 12914, 476, 277, 267, 476, 1001, 276, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 21080, 2126, 1184, 585, 32561, 5123, 13297, 540, 3819, 22279, 2326, 2008, 347, 4785, 280, 2420, 6200, 274, 1475, 19878, 476, 2537, 267, 476, 1001, 275, 1475, 13356, 476, 3066, 267, 476, 1001, 276, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 19686, 543, 1062, 585, 9013, 16035, 5434, 689, 5755, 30187, 8143, 3157, 2008, 347, 4785, 280, 3374, 25375, 276, 1475, 21801, 476, 2190, 267, 476, 1001, 274, 1475, 9802, 476, 4029, 267, 476, 1001, 277, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 19686, 543, 1062, 585, 9013, 16035, 5434, 689, 5755, 30187, 8143, 3157, 2008, 347, 4785, 280, 3607, 32133, 278, 1475, 13356, 476, 1691, 267, 476, 1001, 273, 1475, 21801, 476, 1691, 267, 476, 1001, 277, 1475, 307, 615, 15879, 7025, 29698, 5549, 13954, 25456, 1899, 2359, 538, 513, 5714, 2555, 10045, 1062, 2008, 347, 4785, 280, 4343, 14983, 273, 1475, 13356, 476, 274, 267, 476, 1001, 273, 1475, 19878, 476, 276, 267, 476, 1001, 277, 1475, 5141, 926, 656, 15278, 1475, 4467, 6570, 543, 1184, 585, 16035, 8851, 2008, 347, 4785, 280, 2412, 280, 1321, 274, 1475, 12914, 476, 1015, 267, 476, 1001, 275, 1475, 13971, 476, 280, 267, 476, 1001, 277, 1475, 3008, 288, 268, 2464, 267, 5549, 13954, 6944, 1503, 540, 6632, 28103, 828, 16617, 28166, 543, 676, 28237, 6051, 2008, 347, 4785, 280, 4792, 8064, 275, 273, 1475, 13202, 476, 2537, 267, 476, 1001, 276, 1475, 9802, 476, 2537, 267, 476, 1001, 278, 1475, 4696, 288, 268, 2464, 267, 5549, 13954, 31640, 20933, 1505, 543, 1062, 2008, 347, 4785, 1220, 22145, 5325, 278, 11152, 2608, 1475, 15037, 476, 278, 267, 476, 1220, 273, 1475, 13971, 476, 278, 267, 476, 1220, 274, 1475, 289, 2240, 24527, 623, 13954, 6944, 1503, 540, 16035, 543, 824, 3693, 531, 4496, 5434, 689, 13674, 3457, 676, 16617, 2008, 347, 4785, 1220, 22145, 3583, 272, 6795, 2608, 1475, 14257, 476, 278, 267, 476, 1220, 274, 1475, 20225, 476, 1556, 267, 476, 1220, 274, 1475, 4537, 842, 16619, 12968, 14765, 1475, 19686, 543, 17102, 585, 9427, 16035, 689, 3653, 3154, 2008, 347, 4785, 1220, 22145, 5952, 278, 1240, 2608, 1475, 11321, 476, 1321, 267, 476, 1220, 273, 1475, 12914, 476, 273, 267, 476, 1220, 274, 1475, 293, 8803, 24747, 518, 6052, 15278, 1475, 19686, 543, 17102, 585, 9427, 16035, 2249, 689, 3905, 1166, 826, 3154, 2008, 347, 4785, 1220, 25002, 276, 2641, 7176, 2608, 1475, 15037, 476, 274, 267, 476, 1220, 274, 1475, 13971, 476, 276, 267, 476, 1220, 275, 1475, 306, 1051, 571, 717, 1162, 267, 5549, 13954, 19686, 543, 1062, 585, 2870, 513, 16035, 10300, 728, 3044, 585, 946, 538, 4152, 513, 803, 322, 1722, 2555, 10045, 1062, 2008, 347, 4785, 1220, 25002, 3199, 278, 6434, 2608, 1475, 11321, 476, 1015, 267, 476, 1220, 274, 1475, 20225, 476, 1626, 267, 476, 1220, 275, 1475, 301, 553, 12541, 681, 269, 10609, 531, 8270, 1475, 306, 9321, 1127, 1944, 3327, 2861, 23455, 321, 757, 585, 16035, 8851, 2008, 347, 4785, 1220, 29710, 5002, 10695, 2608, 1475, 9802, 476, 272, 267, 476, 1220, 274, 1475, 22261, 476, 275, 267, 476, 1220, 275, 1475, 11390, 603, 5576, 1993, 1752, 1475, 19686, 543, 17102, 585, 19086, 16035, 5434, 538, 9688, 9362, 2008, 347, 4785, 1220, 4335, 3607, 280, 2918, 2608, 1475, 13971, 476, 1691, 267, 476, 1220, 274, 1475, 15037, 476, 1704, 267, 476, 1220, 276, 1475, 14197, 11272, 7577, 1475, 300, 11697, 5786, 1062, 543, 1505, 538, 13674, 1166, 826, 3154, 1210, 5755, 16471, 2008, 347, 4785, 1220, 4335, 4037, 277, 4792, 2608, 1475, 20225, 476, 1704, 267, 476, 1220, 275, 1475, 14257, 476, 278, 267, 476, 1220, 276, 1475, 1805, 269, 7225, 324, 6481, 267, 5549, 13954, 7343, 541, 9850, 543, 2409, 585, 5160, 11018, 543, 17516, 2008, 347, 4785, 1220, 26341, 280, 6246, 736, 2608, 1475, 12914, 476, 3066, 267, 476, 1220, 275, 1475, 20225, 476, 279, 267, 476, 1220, 276, 1475, 300, 13926, 1195, 2353, 1195, 1234, 8010, 619, 267, 5549, 269, 594, 328, 1475, 31088, 585, 5786, 540, 22803, 17694, 689, 3653, 12535, 2008, 347, 4785, 1220, 2004, 273, 18684, 11011, 2608, 1475, 11321, 476, 2764, 267, 476, 1220, 276, 1475, 12914, 476, 277, 267, 476, 1220, 276, 1475, 24171, 1656, 654, 754, 749, 14480, 333, 267, 5549, 13954, 290, 5670, 673, 12511, 8392, 1588, 3157, 267, 1519, 16864, 10868, 2008, 347, 4785, 1220, 7785, 9340, 1428, 2608, 1475, 19878, 476, 1626, 267, 476, 1220, 275, 1475, 13202, 476, 866, 267, 476, 1220, 277, 1475, 289, 2240, 24527, 623, 1475, 6944, 1503, 540, 16035, 543, 824, 3693, 531, 4496, 5434, 1210, 5114, 32278, 3926, 2008, 347, 4785, 1220, 7785, 27768, 4029, 2608, 1475, 13971, 476, 274, 267, 476, 1220, 275, 1475, 15037, 476, 280, 267, 476, 1220, 277, 1475, 289, 2240, 24527, 623, 1475, 19686, 540, 9427, 16035, 689, 1166, 826, 3154, 998, 19349, 540, 1164, 2837, 16617, 2008, 347, 4785, 1220, 7785, 27768, 3953, 2608, 1475, 13971, 476, 274, 267, 476, 1220, 275, 1475, 15037, 476, 280, 267, 476, 1220, 277, 1475, 289, 2240, 24527, 623, 1475, 291, 787, 23455, 1632, 540, 12444, 1242, 16035, 538, 1166, 826, 3154, 2008, 347, 4785, 1220, 7785, 27768, 3451, 2608, 1475, 13971, 476, 276, 267, 476, 1220, 275, 1475, 15037, 476, 280, 267, 476, 1220, 277, 1475, 5719, 9440, 6424, 654, 1475, 3725, 5562, 9245, 1184, 585, 519, 8851, 540, 11517, 5123, 17694, 2008, 347, 4785, 1220, 7785, 3393, 279, 3066, 2608, 1475, 13971, 476, 2918, 267, 476, 1220, 275, 1475, 11321, 476, 273, 267, 476, 1220, 277, 1475, 291, 617, 6202, 3794, 3317, 654, 1475, 31088, 585, 519, 8851, 540, 5230, 8407, 689, 9362, 267, 543, 15885, 972, 1721, 543, 972, 5976, 2008, 347, 4785, 1220, 7785, 31816, 4510, 2608, 1475, 14257, 476, 278, 267, 476, 1220, 276, 1475, 11321, 476, 1626, 267, 476, 1220, 277, 1475, 4537, 8811, 8566, 518, 26284, 1475, 19686, 585, 25094, 27701, 16035, 2008, 347, 4785, 1220, 7785, 278, 3393, 11011, 2608, 1475, 20225, 476, 1789, 267, 476, 1220, 275, 1475, 14257, 476, 277, 267, 476, 1220, 277, 1475, 297, 2459, 340, 15550, 599, 645, 1475, 21902, 338, 543, 2409, 585, 5464, 535, 537, 1782, 543, 1793, 698, 3101, 538, 3002, 4483, 3457, 538, 5755, 17991, 1379, 2371, 2008, 347, 4785, 1220, 31430, 280, 4391, 8287, 2608, 1475, 15037, 476, 1839, 267, 476, 1220, 276, 1475, 13971, 476, 4029, 267, 476, 1220, 277, 1475, 15899, 9478, 645, 1475, 31088, 585, 519, 8851, 540, 5230, 8407, 689, 9362, 267, 543, 15885, 972, 1721, 543, 972, 5976, 2008, 347, 4785, 1220, 31430, 7176, 278, 10619, 2608, 1475, 11321, 476, 274, 267, 476, 1220, 276, 1475, 20225, 476, 278, 267, 476, 1220, 277, 1475, 15899, 9478, 645, 1475, 300, 11697, 31203, 521, 12643, 550, 2008, 347, 4785, 1220, 31430, 7176, 278, 10602, 2608, 1475, 11321, 476, 274, 267, 476, 1220, 276, 1475, 20225, 476, 278, 267, 476, 1220, 277, 1475, 15899, 9478, 645, 1475, 300, 11697, 8851, 521, 12643, 550, 2008, 347, 4785, 1220, 3583, 272, 14917, 1626, 2608, 1475, 22261, 476, 1240, 267, 476, 1220, 276, 1475, 9802, 476, 2190, 267, 476, 1220, 278, 1475, 14197, 11272, 7577, 1475, 19686, 543, 1062, 585, 9427, 16035, 689, 13674, 3154, 2008, 347, 4785, 1220, 3583, 272, 14917, 866, 2608, 1475, 22261, 476, 1240, 267, 476, 1220, 276, 1475, 9802, 476, 2190, 267, 476, 1220, 278, 1475, 14197, 11272, 7577, 1475, 19686, 543, 1062, 585, 9427, 16035, 689, 13674, 3154, 2008, 347, 4785, 1220, 8517, 15647, 1626, 2608, 1475, 20225, 476, 2764, 267, 476, 1220, 278, 1475, 13202, 476, 1704, 267, 476, 1220, 279, 1475, 14197, 11272, 7577, 1475, 12507, 13501, 1062, 543, 1505, 2008, 347, 4785, 1220, 3199, 272, 12553, 6812, 2608, 1475, 12914, 476, 1015, 267, 476, 1220, 278, 1475, 9802, 476, 1428, 267, 476, 1220, 279, 1475, 5719, 9440, 6424, 654, 1475, 3725, 5562, 6490, 1962, 2033, 6713, 585, 519, 31203, 540, 966, 8388, 18001, 2552, 3133, 1218, 2008, 347, 4785, 1220, 3199, 272, 280, 3451, 7367, 2608, 1475, 15037, 476, 1691, 267, 476, 1220, 278, 1475, 13971, 476, 1691, 267, 476, 1220, 279, 1475, 309, 1388, 328, 8841, 700, 1170, 2103, 7288, 1475, 32325, 543, 1949, 585, 9427, 16035, 689, 13674, 1166, 826, 3154, 2008, 347, 4785, 1220, 3445, 272, 4649, 272, 5392, 2608, 1475, 13202, 476, 1626, 267, 476, 1220, 280, 1475, 21801, 476, 1240, 267, 476, 1220, 280, 1475, 4537, 8811, 8566, 518, 26284, 1475, 19686, 585, 25094, 27701, 16035, 2008, 347, 4785, 1220, 3445, 273, 3374, 279, 4366, 2608, 1475, 11321, 476, 2190, 267, 476, 1220, 279, 1475, 20225, 476, 2190, 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 ]
[ 513, 23988, 543, 972, 616, 1082, 2188, 602, 3310, 519, 4908, 540, 14450, 2371, 267, 971, 607, 519, 7516, 540, 519, 1494, 267, 5210, 267, 543, 8653, 543, 8515, 540, 519, 3141, 563, 6826, 2386, 547, 1224, 713, 2376, 547, 1118, 2386, 596, 2461, 14450, 707, 2371, 693, 519, 2953, 4908, 896, 1585, 2175, 547, 1832, 707, 2030, 1134, 5991, 712, 1639, 7498, 1692, 10705, 547, 4826, 11335, 4173, 2125, 454, 22025, 1540, 14450, 11335, 11922, 899, 9782, 4424, 543, 32175, 2899, 1169, 1079, 4374, 538, 519, 4832, 3275, 269, 12878, 2082, 11335, 10786, 17675, 2371, 538, 10448, 10651, 1058, 581, 530, 23926, 1282, 3665, 10980, 1317, 789, 616, 10980, 15033, 543, 616, 2111, 547, 1205, 1169, 26412, 540, 7509, 602, 789, 2154, 689, 4764, 563, 8469, 10882, 11922, 568, 513, 2165, 1031, 547, 4766, 1022, 2030, 799, 568, 6805, 547, 519, 11335, 3148, 540, 8828, 2342, 543, 814, 1044, 9862, 547, 519, 3819, 543, 3905, 2916, 538, 519, 5614, 543, 14400, 267, 543, 519, 9793, 12736, 1562, 609, 7928, 11811, 563, 28082, 11335, 11922, 1331, 912, 4322, 11922, 8853, 538, 3819, 2175, 267, 543, 1058, 4061, 581, 5781, 530, 23926, 1447, 982, 21364, 5993, 2371, 563, 763, 14450, 540, 11335, 2371, 1932, 1419, 5932, 519, 2175, 602, 1450, 713, 16507, 3968, 24695, 339, 2684, 26957, 3597, 4232, 547, 21707, 563, 7712, 11335, 2371, 616, 9862, 547, 3819, 3037, 267, 789, 616, 811, 7925, 547, 3597, 4232, 267, 865, 621, 568, 2629, 547, 21613, 519, 2067, 1604, 676, 14450, 1447, 4749, 982, 824, 2371, 563, 9336, 1079, 4374, 267, 1216, 1247, 789, 2461, 538, 11149, 630, 5976, 606, 15792, 27653, 547, 5000, 3597, 2208, 264, 1317, 17428, 666, 3819, 856, 3728, 538, 519, 4832, 267, 2523, 952, 789, 2461, 4130, 982, 476, 1321, 6279, 538, 2450, 563, 8469, 10882, 10786, 17675, 2371, 630, 7945, 971, 607, 519, 32175, 264, 616, 21064, 2371, 602, 1797, 789, 2132, 1142, 1032, 865, 1279, 607, 789, 616, 5265, 25374, 585, 1282, 5162, 676, 7863, 873, 689, 4411, 4365, 543, 711, 14450, 538, 1022, 1259, 563, 8469, 10882, 2371, 1205, 782, 519, 1216, 789, 2154, 547, 7639, 5162, 689, 519, 4478, 1604, 1547, 1358, 616, 849, 693, 513, 2362, 4960, 540, 3384, 3597, 4232, 267, 865, 621, 568, 1655, 547, 3247, 14450, 2371, 899, 27041, 543, 9782, 4424, 538, 519, 2887, 267, 543, 3136, 547, 1216, 873, 2394, 519, 1739, 5614, 563, 8469, 10882, 2371, 602, 616, 12630, 593, 6659, 5127, 610, 1031, 607, 15949, 2471, 538, 4677, 4604, 619, 1810, 1406, 2154, 14450, 1310, 789, 723, 3964, 2933, 519, 1101, 1032, 267, 607, 789, 666, 8853, 1282, 519, 3819, 543, 3905, 5681, 11302, 538, 8828, 2342, 1510, 1022, 991, 547, 1216, 563, 1692, 10705, 547, 4826, 23516, 344, 16316, 4173, 2125, 454, 763, 14450, 540, 11922, 899, 524, 559, 656, 549, 543, 24958, 1169, 476, 274, 547, 476, 276, 2395, 547, 1118, 2386, 602, 519, 3037, 3788, 14927, 547, 3247, 873, 689, 4742, 27315, 1540, 269, 769, 519, 4832, 3275, 267, 519, 1032, 267, 596, 1058, 1216, 707, 5993, 2371, 607, 4749, 607, 1169, 824, 1554, 267, 2523, 950, 789, 616, 12630, 5116, 538, 17428, 602, 616, 1507, 543, 9205, 563, 763, 1034, 2442, 2010, 540, 5993, 11922, 1331, 912, 4322, 5993, 11922, 666, 581, 8246, 538, 11335, 11951, 267, 855, 789, 2965, 2097, 689, 538, 1114, 2694, 540, 519, 8608, 1141, 789, 8853, 538, 11934, 602, 616, 5848, 543, 723, 811, 11811, 543, 538, 9864, 12094, 563, 13295, 267, 519, 5993, 2371, 2154, 3586, 7509, 538, 519, 3037, 267, 543, 4061, 991, 547, 581, 530, 23926, 811, 4749, 982, 11335, 2371, 563, 4415, 2405, 3438, 1066, 2801, 534, 2371, 267, 519, 7887, 8594, 547, 519, 1072, 540, 519, 2030, 568, 7050, 14450, 267, 6466, 5993, 2371, 616, 693, 513, 1713, 1981, 540, 546, 20621, 267, 799, 3123, 11710, 543, 3762, 27315, 1154, 563, 763, 7872, 540, 3597, 4232, 602, 568, 3361, 676, 936, 22476, 4749, 568, 1447, 7805, 950, 621, 2501, 547, 5993, 2371, 630, 4818, 1563, 547, 11335, 2371, 264, 543, 568, 3335, 1152, 606, 3390, 950, 519, 3037, 568, 27876, 1317, 540, 3500, 1951, 1456, 11934, 610, 17428, 602, 798, 711, 8963, 563, 2467, 616, 1082, 3344, 899, 519, 1318, 17428, 585, 5993, 2371, 543, 519, 7516, 540, 519, 1494, 799, 3313, 875, 1419, 596, 1216, 707, 5993, 2371, 267, 543, 865, 267, 1224, 1250, 9708, 547, 2824, 519, 1034, 5078, 17428, 585, 707, 11922, 543, 519, 519, 1655, 10786, 29238, 3037, 563, 2252, 519, 11922, 616, 6738, 538, 5214, 3638, 11003, 2073, 610, 1494, 11934, 602, 8963, 1134, 267, 543, 616, 12630, 538, 513, 1494, 1804, 2614, 543, 5116, 538, 513, 26484, 1858, 543, 14450, 1169, 476, 275, 268, 278, 2395, 568, 3622, 2614, 563, 27087, 519, 4908, 693, 799, 596, 1216, 707, 11922, 1403, 789, 2253, 547, 8858, 23053, 540, 2566, 689, 10980, 267, 971, 607, 3762, 1225, 1782, 610, 12955, 563, 2005, 568, 1271, 547, 4063, 602, 5993, 2371, 899, 24958, 8853, 538, 6640, 7943, 267, 543, 12784, 12094, 269, 1403, 789, 616, 6534, 547, 2407, 7943, 538, 519, 12784, 519, 2030, 949, 2253, 547, 581, 2111, 547, 530, 2830, 13713, 630, 553, 606, 17966, 618, 547, 519, 3002, 267, 711, 1813, 547, 513, 9000, 540, 7509, 264, 543, 1287, 2132, 547, 3339, 1310, 5210, 3579, 693, 3781, 563, 13425, 519, 3037, 779, 7509, 547, 513, 9416, 779, 3178, 547, 3313, 952, 707, 2371, 616, 5848, 2614, 269, 1403, 519, 1283, 10759, 540, 3037, 568, 3819, 267, 2285, 707, 2371, 513, 1434, 27653, 269, 901, 568, 513, 1390, 1505, 547, 3313, 519, 4998, 4908, 540, 14450, 585, 707, 2371, 538, 707, 4677, 1759, 593, 519, 4365, 2175, 267, 2864, 982, 606, 2949, 8430, 563, 1692, 10705, 547, 4826, 4173, 2125, 2991, 31896, 454, 25486, 783, 11922, 899, 24958, 5781, 1310, 9544, 547, 2327, 602, 519, 3037, 3788, 14927, 547, 3247, 519, 2371, 689, 4742, 27315, 1540, 269, 634, 6093, 2259, 568, 547, 1216, 21364, 2371, 1169, 476, 274, 547, 476, 275, 2395, 2394, 519, 2030, 9428, 269, 634, 32175, 2000, 8221, 2371, 4782, 3819, 2175, 267, 855, 789, 1058, 5781, 530, 23926, 1310, 519, 24873, 2394, 519, 5072, 616, 3964, 563, 2005, 568, 4105, 547, 1832, 606, 3750, 593, 707, 2371, 543, 1216, 873, 811, 4749, 1310, 789, 723, 1044, 12630, 267, 607, 713, 568, 950, 789, 616, 693, 1981, 540, 7092, 1813, 547, 10980, 267, 609, 519, 5993, 10786, 602, 568, 21364, 693, 519, 5207, 8594, 563, 763, 2601, 585, 713, 568, 602, 519, 2030, 779, 5072, 10093, 1406, 1185, 519, 4960, 547, 1332, 538, 519, 3037, 267, 865, 789, 5749, 1406, 2111, 547, 10110, 1216, 607, 3927, 269, 769, 1931, 547, 22771, 267, 621, 779, 1898, 602, 519, 3037, 568, 6854, 5848, 547, 2327, 602, 519, 2030, 3788, 1134, 31622, 3603, 267, 543, 849, 547, 2569, 519, 2360, 540, 13003, 8710, 543, 27315, 1154, 563, 2690, 2371, 899, 20511, 267, 24958, 267, 610, 524, 559, 656, 549, 596, 1058, 1216, 873, 607, 1419, 607, 568, 2877, 547, 1832, 519, 3037, 14927, 585, 519, 1101, 1614, 4374, 269, 2991, 827, 476, 274, 4374, 267, 519, 2030, 1058, 581, 9862, 547, 922, 10450, 267, 543, 519, 5072, 786, 2721, 519, 3037, 585, 811, 7509, 543, 596, 666, 2569, 519, 4908, 540, 14450, 547, 1169, 476, 278, 547, 476, 278, 2395, 563, 2690, 11335, 2371, 267, 621, 568, 1898, 547, 1216, 873, 2899, 829, 1169, 3018, 1282, 519, 3355, 2185, 4374, 1739, 519, 9544, 563, 1607, 3947, 519, 2030, 2614, 7509, 547, 2327, 621, 3085, 1406, 7985, 519, 2360, 540, 10980, 610, 6749, 855, 849, 6971, 519, 4960, 540, 3597, 4232, 4611, 689, 7050, 14450, 269, 2991, 476, 274, 610, 476, 275, 4374, 267, 596, 1058, 1216, 11335, 11922, 1169, 1079, 4374, 1282, 519, 3355, 4005, 563, 5475, 519, 1101, 1032, 267, 519, 11335, 2030, 1058, 581, 3964, 543, 949, 1152, 2154, 12555, 1282, 2053, 540, 10980, 610, 1169, 1079, 4374, 538, 17428, 267, 952, 972, 3884, 1406, 1022, 1713, 4764, 563, 2414, 2569, 519, 4960, 540, 3597, 4232, 267, 621, 779, 1898, 547, 1332, 11335, 11922, 538, 519, 2953, 1134, 1673, 11712, 543, 22501, 29238, 3575, 269, 2638, 856, 1250, 2376, 593, 519, 1655, 29238, 3575, 585, 20662, 11367, 563, 1692, 10705, 547, 4826, 4173, 2125, 1473, 14995, 454, 763, 11255, 2371, 1058, 581, 530, 23926, 1169, 476, 276, 268, 278, 2395, 267, 4758, 606, 15792, 27653, 547, 2327, 602, 519, 3037, 3788, 14927, 855, 711, 4625, 15459, 269, 1403, 519, 2030, 5956, 547, 6336, 922, 3337, 610, 1831, 5323, 4878, 267, 21561, 519, 2179, 540, 942, 621, 3217, 547, 1216, 267, 543, 4894, 519, 2030, 689, 1463, 7943, 1247, 621, 646, 1023, 563, 2005, 568, 2629, 547, 3314, 602, 2371, 666, 5884, 1813, 547, 7050, 7509, 1472, 519, 5072, 267, 607, 1134, 607, 519, 18024, 1184, 563, 15463, 2125, 2356, 786, 711, 1332, 1813, 547, 7050, 1216, 1472, 519, 5072, 1813, 547, 789, 616, 5116, 538, 17428, 602, 798, 711, 723, 8963, 9475, 693, 519, 5377, 630, 8619, 6748, 519, 1216, 547, 18645, 1472, 519, 5072, 3079, 540, 581, 2111, 547, 8963, 264, 610, 1813, 547, 10487, 6203, 543, 911, 903, 630, 6518, 12042, 619, 519, 12775, 540, 1216, 856, 540, 519, 1494, 1916, 2252, 707, 2371, 616, 4742, 27315, 1540, 543, 7432, 5835, 267, 713, 568, 519, 4191, 540, 3597, 4232, 4611, 689, 519, 3037, 1373, 22350, 15459, 630, 6518, 7161, 5135, 689, 519, 3037, 543, 669, 10280, 519, 5072, 264, 3079, 540, 1373, 9846, 18519, 563, 263, 2252, 707, 2371, 616, 7432, 5835, 267, 1224, 1250, 2376, 593, 593, 875, 547, 2847, 633, 12955, 2371, 1916, 13014, 2386, 707, 2371, 616, 5116, 538, 17428, 602, 723, 12775, 9475, 693, 519, 5377, 547, 1450, 585, 519, 4430, 5277, 547, 2095, 2476, 689, 519, 5072, 1547, 7233, 538, 513, 1434, 29238, 3037, 610, 11003, 267, 607, 11003, 568, 2111, 547, 3180, 538, 7509, 267, 855, 1869, 4865, 513, 24338, 2497, 799, 2636, 1216, 547, 23309, 547, 2327, 602, 519, 3037, 3085, 1406, 1205, 536, 690, 4445, 563, 2005, 568, 1271, 547, 4063, 602, 1152, 21364, 267, 3039, 5993, 11922, 899, 524, 559, 656, 549, 543, 24958, 666, 581, 6738, 3330, 630, 514, 519, 3141, 26569, 6885, 521, 650, 264, 1247, 11335, 2371, 2154, 15792, 3141, 607, 1134, 607, 7899, 540, 25312, 267, 865, 789, 1058, 581, 12630, 3544, 563, 1692, 10705, 547, 4826, 4173, 2125, 25994, 543, 23268, 13530, 454, 306, 3975, 13530, 543, 11922, 1058, 581, 530, 23926, 1169, 3018, 547, 2327, 789, 616, 14961, 14927, 269, 11408, 2327, 602, 596, 2285, 707, 2371, 513, 9488, 27653, 547, 3895, 519, 1646, 540, 2635, 5072, 269, 2913, 519, 1858, 540, 3037, 547, 1831, 3819, 856, 547, 519, 1448, 540, 1373, 5594, 3819, 1354, 14450, 621, 1586, 563, 2691, 14450, 5452, 540, 10786, 610, 19155, 621, 568, 1898, 547, 1118, 2386, 707, 3037, 4991, 19872, 8499, 267, 607, 621, 8992, 519, 2208, 540, 5072, 563, 2252, 707, 19155, 616, 711, 530, 23926, 2614, 267, 1152, 519, 3037, 779, 2627, 568, 5848, 267, 799, 7512, 519, 1646, 540, 13719, 5072, 543, 2306, 519, 19155, 7925, 547, 3819, 1145, 563, 3528, 4758, 621, 811, 7928, 14450, 267, 519, 2030, 10953, 6793, 543, 811, 7347, 3597, 1062, 602, 568, 5827, 540, 909, 3478, 1216, 4514, 883, 519, 3037, 269, 634, 5072, 849, 2744, 1569, 547, 519, 5567, 621, 2115, 547, 2327, 602, 596, 723, 7899, 540, 2635, 3762, 540, 707, 10786, 547, 4584, 538, 519, 1985, 1906, 4374, 563, 8170, 1576, 2073, 596, 1590, 2333, 519, 4908, 540, 14450, 707, 19155, 950, 5210, 4473, 13497, 269, 898, 568, 1655, 547, 1747, 873, 593, 519, 16830, 851, 540, 707, 6885, 610, 538, 513, 5544, 609, 6640, 3141, 267, 4553, 676, 12784, 12094, 547, 2057, 519, 27315, 1154, 543, 2566, 3361, 676, 3002, 563, 763, 2601, 547, 1450, 519, 3037, 779, 2627, 547, 3819, 856, 513, 3787, 568, 1317, 5072, 2154, 5135, 547, 1450, 873, 547, 13236, 269, 1879, 519, 3037, 3587, 711, 3819, 2614, 267, 621, 666, 3625, 5135, 689, 519, 3037, 4478, 741, 6263, 3395, 3597, 1062, 267, 799, 1223, 2014, 873, 547, 1831, 3411, 11343, 563, 2691, 596, 7227, 547, 1216, 2394, 519, 3037, 568, 6632, 547, 5905, 786, 2327, 602, 519, 3037, 568, 5135, 730, 547, 1450, 519, 5072, 547, 13236, 543, 1832, 519, 19155, 2635, 663, 1134, 31622, 3603, 563, 1692, 10705, 547, 4826, 4173, 2125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23797, 4328, 19120, 5511, 1323, 26087, 525, 540, 7638, 4472, 4578, 281, 589, 19750, 6651, 476, 273, 1323, 4244, 1259, 547, 2328, 971, 513, 3391, 267, 3144, 538, 713, 2376, 267, 568, 547, 4766, 543, 632, 24554, 519, 2409, 602, 594, 723, 2919, 543, 1031, 538, 1250, 1378, 1382, 936, 519, 2250, 8717, 610, 865, 269, 630, 276, 1070, 634, 1985, 1900, 568, 547, 1224, 782, 540, 519, 1239, 5402, 543, 4020, 513, 7121, 1062, 602, 2636, 782, 540, 519, 1239, 547, 581, 19040, 18928, 269, 2422, 12007, 1382, 952, 596, 1616, 547, 1174, 1945, 263, 935, 32383, 267, 4555, 267, 2833, 264, 1280, 1034, 1382, 3584, 596, 666, 3442, 513, 12007, 267, 11050, 610, 6404, 2409, 1935, 269, 19120, 5511, 1239, 666, 538, 1249, 581, 10736, 883, 11050, 3800, 1256, 952, 621, 3085, 5257, 339, 2097, 689, 606, 4603, 610, 689, 513, 1804, 3732, 2450, 269, 4841, 945, 15548, 538, 519, 10362, 2126, 3812, 2854, 6114, 602, 24132, 689, 476, 276, 1913, 547, 2789, 9433, 269, 3776, 2319, 786, 25058, 741, 942, 543, 3007, 547, 4336, 7284, 534, 267, 8744, 1927, 3309, 1239, 267, 2645, 543, 1004, 547, 1711, 513, 11508, 1652, 5698, 1995, 269, 30258, 585, 4358, 7296, 543, 11173, 547, 8673, 267, 476, 273, 269, 26592, 1239, 568, 513, 1826, 540, 1239, 602, 9388, 609, 22905, 1344, 269, 476, 276, 269, 272, 9122, 593, 1995, 540, 4431, 550, 454, 4322, 949, 581, 6237, 16082, 540, 1893, 267, 971, 607, 519, 946, 540, 519, 2165, 968, 4565, 785, 892, 602, 9049, 308, 1053, 946, 538, 4704, 547, 513, 14477, 8655, 18959, 887, 2174, 622, 269, 5153, 476, 273, 281, 17291, 4798, 267, 3270, 543, 3347, 269, 19284, 11050, 2409, 267, 538, 12007, 1239, 2079, 972, 616, 1100, 24080, 10858, 2553, 602, 666, 581, 4294, 547, 5352, 4681, 269, 22860, 3749, 543, 2565, 3206, 1983, 540, 11001, 4249, 1713, 1909, 538, 1239, 2079, 538, 12007, 2090, 269, 898, 568, 6394, 689, 1257, 267, 8301, 543, 2592, 543, 3838, 998, 1239, 14839, 2645, 267, 971, 607, 2262, 12269, 267, 1523, 7851, 267, 3113, 12240, 267, 28868, 543, 1102, 16623, 907, 19120, 5511, 1239, 2079, 13290, 547, 2626, 2055, 827, 1018, 3527, 1004, 1491, 543, 1018, 4665, 919, 873, 547, 1491, 1346, 3527, 269, 2991, 4189, 596, 1745, 899, 8673, 269, 273, 269, 271, 264, 630, 2005, 781, 1360, 8799, 547, 8673, 269, 9282, 621, 568, 6140, 1031, 585, 10655, 12007, 1239, 267, 8343, 666, 849, 581, 1031, 547, 2445, 11050, 1239, 269, 630, 273, 264, 5682, 267, 661, 269, 968, 4692, 19120, 5511, 3194, 21277, 576, 4039, 4192, 26592, 28454, 9495, 12197, 10613, 269, 630, 1556, 264, 1280, 1383, 267, 661, 313, 6874, 2169, 568, 513, 3301, 1982, 799, 568, 3730, 950, 2324, 609, 6114, 547, 1930, 25804, 2055, 538, 513, 13387, 5619, 269, 476, 276, 269, 273, 9122, 593, 6644, 540, 519, 4431, 550, 267, 901, 568, 606, 1383, 540, 513, 6712, 540, 606, 5967, 609, 519, 6688, 8655, 547, 12415, 540, 519, 1257, 269, 1627, 6395, 2882, 519, 3157, 543, 2409, 585, 7421, 1239, 543, 3246, 930, 1377, 540, 1620, 267, 7778, 267, 543, 7664, 540, 3270, 543, 4798, 538, 21849, 1239, 269, 476, 275, 269, 274, 11038, 454, 15704, 268, 13679, 269, 19120, 5511, 1239, 666, 581, 1031, 547, 13865, 1125, 543, 10802, 11050, 1239, 547, 2995, 513, 811, 11455, 543, 3015, 1650, 982, 2338, 666, 4805, 269, 1411, 917, 602, 938, 4606, 267, 4555, 267, 11994, 616, 519, 1883, 10256, 585, 1818, 1114, 2010, 540, 3664, 630, 10175, 6718, 3664, 1040, 898, 3085, 5257, 339, 1942, 811, 2724, 547, 22945, 610, 946, 7194, 269, 589, 4341, 540, 14853, 585, 14045, 2436, 547, 946, 12007, 610, 11050, 1239, 568, 281, 476, 272, 269, 1635, 4214, 267, 971, 2186, 540, 1344, 568, 10691, 8659, 538, 12007, 1239, 269, 2422, 11050, 1382, 952, 596, 1616, 547, 6166, 610, 1449, 1945, 5416, 3069, 610, 8367, 264, 476, 273, 269, 2060, 891, 21594, 267, 1759, 7357, 593, 2875, 1893, 267, 22244, 310, 290, 18886, 782, 8320, 540, 891, 1913, 538, 519, 2875, 6114, 10480, 883, 519, 3301, 269, 3590, 5597, 12056, 543, 7726, 532, 519, 4578, 476, 10602, 634, 17258, 540, 12007, 14374, 5673, 593, 2185, 3982, 855, 1644, 14374, 2609, 281, 476, 272, 269, 634, 7296, 1974, 454, 2005, 3622, 2874, 540, 1913, 267, 16148, 6386, 269, 1548, 1131, 596, 2161, 547, 873, 286, 306, 281, 630, 2791, 2995, 873, 713, 568, 875, 594, 3323, 269, 6715, 31772, 910, 23221, 2298, 910, 23221, 4483, 1464, 910, 32687, 5943, 585, 23221, 2298, 281, 1374, 2298, 267, 4612, 633, 22759, 269, 6270, 3292, 3095, 3009, 609, 1257, 538, 1931, 547, 1685, 1950, 2203, 2679, 543, 948, 538, 1239, 2359, 269, 19120, 5511, 1239, 1223, 1331, 922, 9663, 2681, 543, 519, 2681, 540, 922, 4064, 267, 2436, 922, 9663, 568, 2571, 610, 11315, 267, 519, 4992, 621, 2306, 267, 875, 621, 24462, 267, 2436, 621, 4667, 15754, 622, 610, 620, 334, 1993, 267, 922, 1072, 267, 2436, 621, 568, 1762, 610, 2025, 269, 2422, 11050, 1382, 952, 596, 1616, 547, 6166, 610, 1449, 1945, 5416, 3069, 610, 8367, 264, 476, 273, 269, 10829, 1944, 269, 898, 568, 4502, 6998, 267, 1498, 267, 952, 713, 568, 8209, 513, 1434, 3364, 269, 1809, 4879, 538, 519, 6280, 630, 663, 519, 3609, 6286, 602, 2095, 689, 621, 264, 7569, 602, 519, 1239, 616, 4843, 1369, 513, 3621, 4020, 1848, 630, 272, 264, 769, 1840, 267, 968, 2863, 559, 649, 917, 811, 827, 875, 543, 1946, 543, 547, 1018, 4110, 543, 896, 1018, 6381, 1978, 2010, 540, 12007, 1382, 2507, 666, 946, 2685, 610, 28761, 581, 3067, 1881, 267, 621, 568, 12691, 602, 1982, 24990, 610, 3609, 15670, 786, 3490, 3664, 593, 2090, 3622, 9833, 607, 2048, 23974, 5511, 10200, 892, 630, 273, 1070, 4475, 267, 621, 568, 1271, 547, 22945, 519, 1239, 5833, 689, 12007, 1382, 269, 6153, 12007, 1382, 786, 723, 513, 6003, 585, 782, 1239, 267, 543, 1169, 3801, 1058, 581, 1500, 865, 602, 1142, 10126, 13352, 538, 1152, 835, 7121, 269, 2037, 2651, 538, 519, 6820, 2657, 3194, 25890, 5358, 267, 19120, 5511, 1382, 568, 1271, 1317, 621, 12958, 1239, 602, 666, 1683, 538, 3178, 5813, 883, 513, 2243, 610, 1888, 269, 769, 713, 1101, 1032, 476, 272, 267, 277, 2641, 1053, 3177, 2854, 6114, 936, 476, 276, 1913, 269, 634, 1975, 691, 534, 6431, 14571, 5741, 9607, 891, 1761, 2152, 540, 9186, 609, 3586, 6268, 540, 519, 21594, 1498, 17105, 2079, 538, 20422, 1296, 540, 6388, 269, 1306, 513, 1239, 25566, 267, 596, 786, 5097, 960, 609, 11050, 1239, 267, 971, 607, 942, 267, 4463, 267, 2597, 267, 3902, 267, 1942, 267, 7443, 267, 2837, 267, 543, 3845, 7868, 4214, 540, 11050, 1239, 568, 18467, 547, 3247, 454, 14813, 1663, 1878, 593, 7296, 2623, 454, 2005, 3085, 5257, 339, 1942, 811, 2724, 547, 22945, 610, 946, 7194, 269, 630, 1321, 264, 968, 9556, 2544, 476, 277, 281, 19120, 5511, 4578, 5811, 1848, 269, 21826, 2079, 281, 20153, 10184, 3301, 18788, 1454, 540, 519, 991, 585, 12675, 1239, 2079, 267, 2523, 609, 1804, 12531, 540, 1239, 3238, 630, 12901, 517, 3780, 267, 476, 1220, 274, 1040, 19120, 5511, 2079, 666, 2627, 1808, 1344, 543, 5955, 602, 948, 2995, 519, 1650, 540, 5171, 685, 2833, 538, 519, 1982, 543, 875, 610, 1946, 789, 1705, 610, 711, 3035, 4397, 4093, 269, 3689, 267, 519, 11001, 1058, 10891, 519, 1239, 269, 10829, 1944, 12007, 1239, 3544, 540, 513, 6404, 2409, 1353, 286, 12474, 2079, 568, 835, 540, 519, 1034, 4922, 1031, 12007, 1239, 2553, 585, 2560, 901, 568, 1175, 835, 1383, 540, 513, 2780, 1982, 267, 543, 972, 616, 1082, 824, 2139, 3681, 602, 4096, 593, 519, 3169, 2470, 540, 519, 1382, 543, 519, 2450, 540, 519, 6538, 269, 1656, 2995, 707, 3214, 269, 5637, 12007, 1239, 543, 11050, 1239, 616, 2565, 585, 1620, 938, 3077, 5304, 543, 519, 1764, 789, 723, 593, 938, 4213, 269, 19120, 5511, 1239, 568, 1419, 2219, 547, 581, 1732, 14018, 547, 2626, 2055, 827, 519, 2833, 540, 1053, 267, 855, 3173, 949, 2196, 883, 9465, 950, 5185, 609, 1804, 12007, 14449, 269, 4065, 3173, 616, 3743, 585, 3664, 543, 4507, 602, 3337, 875, 2069, 3252, 269, 11660, 1843, 2032, 281, 26592, 1239, 666, 581, 14648, 609, 8579, 2079, 267, 543, 2094, 7194, 616, 1759, 593, 519, 3741, 540, 6128, 267, 519, 11050, 1935, 568, 9763, 607, 23963, 6662, 267, 543, 7787, 630, 290, 1551, 267, 476, 1960, 275, 282, 667, 839, 1260, 2041, 267, 476, 1001, 271, 1040, 27018, 3067, 1436, 3340, 7864, 11353, 585, 606, 6697, 590, 304, 24520, 1871, 269, 1306, 851, 540, 606, 14232, 1957, 593, 519, 2298, 540, 25719, 1382, 538, 667, 10621, 3292, 267, 594, 3357, 2066, 513, 1353, 1141, 519, 6932, 16159, 1705, 835, 540, 1250, 4620, 890, 324, 1407, 281, 3067, 1944, 12007, 1344, 3544, 540, 513, 6404, 1505, 1382, 1374, 269, 9866, 3569, 666, 581, 2241, 610, 8965, 269, 4578, 7004, 543, 2560, 769, 7194, 267, 11050, 1239, 568, 10230, 543, 9715, 998, 10203, 610, 7893, 543, 4334, 539, 609, 12007, 1239, 5036, 267, 799, 4766, 10305, 540, 3615, 855, 798, 711, 2270, 2338, 269, 1635, 4214, 267, 971, 2186, 540, 1344, 568, 10691, 8659, 538, 12007, 1239, 269, 1403, 602, 1719, 596, 267, 519, 1259, 547, 798, 621, 568, 998, 1018, 568, 3006, 6487, 607, 834, 5035, 545, 257, 610, 834, 5035, 673, 257, 1543, 2079, 269, 26426, 2173, 520, 4631, 269, 19120, 5511, 1239, 666, 538, 1249, 581, 10736, 883, 11050, 3800, 1256, 952, 621, 3085, 5257, 339, 2097, 689, 606, 4603, 610, 689, 513, 1804, 3732, 2450, 269, 10705, 2241, 14290, 610, 12125, 666, 581, 1031, 547, 29289, 5967, 1239, 865, 602, 3270, 666, 581, 5462, 1851, 17013, 269, 1717, 267, 609, 12007, 1239, 30749, 543, 2079, 23131, 538, 512, 30802, 269, 19662, 585, 11544, 12007, 543, 11050, 1239, 616, 8268, 1210, 4207, 1806, 689, 3370, 2090, 269, 26592, 1239, 3568, 11050, 1344, 269, 717, 9312, 1239, 568, 4749, 711, 538, 513, 10230, 1106, 3850, 7525, 27115, 540, 519, 11050, 6310, 3613, 520, 6750, 2409, 269, 476, 272, 269, 273, 269, 19120, 5511, 4578, 5811, 281, 9502, 267, 3268, 267, 543, 2010, 269, 11374, 713, 2542, 267, 513, 3677, 4351, 3732, 630, 736, 260, 540, 782, 6114, 264, 729, 27573, 585, 3376, 4798, 540, 10362, 281, 1312, 4798, 28928, 689, 519, 1053, 685, 9739, 543, 4798, 12082, 538, 519, 10362, 3332, 269, 901, 949, 3280, 513, 3787, 1166, 574, 1910, 267, 855, 891, 4612, 894, 3137, 616, 2565, 547, 26500, 6402, 1063, 4632, 543, 3466, 936, 942, 269, 5851, 1604, 454, 1729, 1294, 952, 4507, 2965, 960, 269, 8073, 513, 1592, 540, 1283, 6688, 540, 1344, 519, 5619, 610, 5967, 6098, 2066, 519, 1283, 630, 8201, 476, 273, 1040, 5463, 2888, 543, 4507, 602, 3337, 875, 2069, 3252, 609, 6107, 269, 630, 476, 275, 3738, 968, 21602, 476, 277, 281, 12007, 1131, 269, 19556, 21178, 520, 6750, 2409, 513, 1514, 5626, 6304, 1353, 12125, 616, 849, 1419, 5363, 547, 2708, 519, 2014, 543, 1198, 3347, 256, 21602, 476, 277, 281, 12007, 1382, 21277, 576, 4039, 4192, 11050, 28454, 286, 9232, 12197, 2409, 540, 3347, 602, 2408, 538, 519, 2085, 256, 2107, 6024, 1239, 3738, 543, 8884, 1239, 630, 11050, 610, 6024, 1239, 16532, 8700, 267, 4463, 23463, 256, 634, 1106, 540, 1449, 8464, 267, 22692, 3928, 267, 13382, 2026, 267, 1576, 18934, 906, 267, 3092, 269, 666, 2097, 538, 540, 1862, 634, 5763, 540, 1239, 609, 3007, 547, 2152, 540, 17258, 476, 274, 917, 602, 938, 4606, 4555, 1862, 1772, 1759, 593, 6662, 5013, 267, 10230, 1239, 267, 543, 7194, 6304, 1353, 2470, 1862, 589, 2721, 3724, 1382, 6859, 5013, 267, 10230, 1239, 267, 8343, 666, 849, 581, 1031, 547, 5659, 519, 1239, 476, 10602, 17258, 1862, 901, 568, 8209, 513, 1434, 3364, 1114, 2010, 540, 3664, 630, 1519, 6718, 3664, 3738, 2445, 269, 1627, 6767, 3738, 538, 6476, 609, 11050, 835, 827, 741, 2631, 540, 10362, 593, 13464, 17258, 540, 12007, 1239, 2995, 269, 3117, 573, 3130, 585, 1866, 267, 476, 276, 4015, 568, 1898, 547, 22945, 610, 946, 7194, 1239, 540, 256, 5455, 519, 16548, 540, 811, 11880, 1304, 12007, 1382, 21277, 576, 4039, 4192, 11050, 28454, 286, 9232, 12197, 2409, 547, 11050, 2807, 12745, 783, 1125, 543, 10802, 11050, 1239, 616, 4008, 267, 2197, 267, 3067, 1944, 12007, 1239, 267, 22874, 267, 3092 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30454, 5673, 593, 1018, 779, 4929, 873, 269, 6884, 519, 2626, 568, 607, 2241, 607, 3450, 513, 1126, 547, 8900, 741, 15485, 607, 4166, 607, 789, 723, 519, 20882, 547, 979, 563, 2252, 513, 2783, 899, 966, 7838, 568, 4929, 519, 5563, 267, 519, 3070, 568, 513, 3787, 811, 7294, 269, 8866, 609, 966, 7838, 1590, 581, 14478, 5702, 267, 1317, 621, 666, 1291, 547, 8459, 3968, 543, 8459, 3441, 269, 4107, 3214, 856, 326, 992, 519, 2783, 269, 2368, 1522, 991, 6391, 547, 2953, 519, 17406, 563, 5278, 3214, 609, 966, 7838, 4324, 689, 3232, 2126, 609, 513, 1507, 2179, 540, 11216, 267, 799, 666, 849, 1118, 6391, 11991, 269, 8866, 609, 966, 7838, 1058, 1294, 513, 12963, 579, 6331, 626, 267, 945, 666, 6430, 952, 15084, 2126, 568, 519, 1655, 4781, 563, 1103, 930, 2665, 267, 6391, 568, 2877, 547, 2953, 966, 7838, 269, 634, 1034, 1455, 5650, 568, 23443, 614, 531, 556, 574, 8690, 566, 267, 538, 799, 835, 610, 1312, 540, 519, 23443, 1562, 616, 1065, 3789, 539, 547, 2953, 519, 1394, 6503, 540, 10729, 689, 519, 15485, 269, 901, 5650, 3340, 1152, 513, 1507, 1651, 1707, 543, 267, 538, 930, 1453, 267, 666, 581, 2944, 1210, 18951, 29374, 22272, 541, 22000, 269, 1879, 6391, 568, 2556, 267, 519, 1967, 2557, 568, 1164, 267, 855, 711, 3025, 568, 513, 1434, 11134, 585, 621, 563, 27736, 949, 581, 10457, 585, 23443, 614, 531, 556, 574, 8690, 566, 952, 789, 912, 268, 723, 606, 22166, 547, 11216, 454, 268, 1205, 20443, 5563, 1247, 593, 15084, 2126, 454, 268, 723, 4049, 267, 610, 968, 14683, 17263, 2223, 17406, 454, 268, 616, 4587, 3214, 543, 12322, 609, 17406, 454, 10673, 1406, 7323, 281, 1548, 779, 634, 20050, 2986, 589, 7984, 2435, 570, 847, 25124, 454, 1692, 6496, 25124, 28161, 2506, 5523, 4765, 769, 634, 2349, 9554, 454, 14813, 1254, 27351, 6748, 4551, 666, 8936, 547, 519, 15485, 3774, 543, 1106, 513, 476, 274, 8820, 2146, 1572, 513, 6915, 28291, 269, 1411, 666, 1589, 540, 713, 607, 513, 8825, 13104, 799, 949, 2061, 11216, 267, 610, 519, 13938, 903, 4761, 3210, 267, 689, 8757, 519, 4551, 3330, 563, 289, 22160, 666, 849, 3935, 1125, 1369, 519, 15485, 3774, 267, 8108, 1018, 616, 1634, 607, 29296, 9190, 2950, 1547, 594, 6195, 338, 723, 8878, 4162, 2147, 547, 6915, 28291, 267, 849, 1818, 873, 2352, 547, 1521, 269, 1703, 568, 2963, 585, 519, 9525, 540, 1312, 6915, 16344, 916, 543, 594, 6195, 338, 538, 17256, 8778, 3968, 267, 3226, 585, 2550, 7680, 20443, 610, 5312, 2589, 563, 289, 22160, 23493, 1369, 513, 6915, 28291, 616, 849, 811, 2352, 547, 3713, 543, 949, 711, 581, 4857, 269, 901, 666, 581, 519, 2013, 1256, 609, 811, 6213, 4152, 2409, 269, 901, 1797, 513, 11311, 15084, 949, 711, 581, 3617, 585, 519, 4551, 1459, 267, 1256, 952, 621, 1223, 15449, 622, 519, 6915, 28291, 563, 32747, 4808, 585, 20443, 772, 2316, 798, 711, 3622, 2272, 585, 519, 7872, 540, 606, 11251, 3968, 269, 901, 568, 835, 540, 519, 4128, 602, 20443, 772, 2316, 2126, 1419, 14543, 563, 2791, 2904, 6145, 281, 26640, 12942, 769, 7984, 2435, 570, 847, 454, 13434, 584, 1370, 7984, 2435, 570, 847, 25124, 32192, 454, 2080, 616, 930, 5574, 602, 616, 4122, 1031, 585, 3811, 2126, 540, 5312, 772, 30454, 269, 5901, 538, 2247, 602, 5574, 6964, 786, 4096, 593, 519, 2014, 540, 519, 772, 2316, 912, 268, 634, 3119, 2126, 585, 772, 30454, 568, 513, 1576, 540, 11216, 9447, 936, 835, 3018, 2705, 267, 585, 5312, 772, 30454, 267, 952, 519, 3461, 3217, 1970, 9570, 11216, 1279, 2165, 610, 1310, 4638, 26697, 267, 621, 786, 948, 547, 2061, 2104, 772, 30454, 563, 268, 13966, 609, 1095, 21564, 11216, 267, 519, 4387, 949, 1616, 547, 6895, 519, 17256, 1062, 811, 5702, 1210, 1753, 10729, 4255, 269, 1452, 616, 2653, 547, 798, 267, 543, 789, 616, 1360, 2500, 693, 5265, 23235, 519, 1966, 563, 268, 25530, 22623, 9440, 10433, 543, 2921, 12192, 595, 9360, 666, 1118, 707, 10729, 811, 15755, 267, 799, 11081, 519, 1761, 585, 4551, 2208, 1247, 849, 5329, 707, 2295, 543, 4761, 1062, 2635, 563, 268, 1403, 519, 5312, 772, 2316, 4386, 538, 4999, 609, 22797, 267, 519, 3461, 949, 1616, 547, 2015, 21420, 21110, 3797, 538, 1931, 547, 3970, 1981, 585, 2104, 772, 30454, 563, 8256, 738, 707, 4387, 1354, 4358, 513, 2126, 20786, 269, 18127, 7984, 2435, 570, 847, 32035, 666, 581, 1360, 11213, 267, 855, 609, 513, 2370, 3787, 540, 942, 267, 519, 1697, 5868, 267, 543, 9639, 267, 789, 666, 581, 513, 3364, 540, 519, 2250, 563, 10673, 1406, 7323, 281, 22503, 7984, 2435, 570, 847, 25124, 5851, 9615, 454, 1432, 3657, 634, 20050, 1299, 12580, 2986, 7780, 529, 454, 21618, 540, 513, 772, 2316, 666, 1331, 912, 268, 1928, 950, 890, 4370, 454, 268, 2242, 538, 875, 1419, 513, 1126, 2115, 547, 890, 324, 454, 268, 2242, 538, 519, 1413, 610, 9329, 540, 890, 324, 454, 268, 2539, 17987, 1928, 454, 268, 2539, 1394, 1928, 610, 9636, 454, 308, 30454, 849, 666, 2014, 3214, 547, 6632, 741, 27890, 610, 519, 5127, 267, 1256, 952, 789, 10093, 1406, 1185, 891, 2042, 1354, 269, 5606, 1218, 543, 1360, 1762, 1453, 949, 1152, 1397, 20060, 24594, 4191, 267, 971, 607, 8611, 267, 13481, 267, 610, 8519, 14031, 610, 2534, 563, 1432, 3657, 634, 12580, 2986, 589, 7780, 328, 454, 268, 10266, 610, 8781, 950, 2712, 3215, 454, 268, 1323, 20882, 547, 2712, 3729, 1419, 267, 855, 711, 1454, 2501, 856, 950, 596, 979, 454, 268, 16242, 538, 707, 2539, 17737, 454, 268, 7984, 710, 602, 24462, 3983, 610, 5654, 5144, 344, 610, 31063, 454, 268, 10552, 538, 519, 10729, 269, 901, 568, 811, 1455, 538, 7820, 2021, 269, 1403, 596, 1294, 1973, 538, 707, 10729, 267, 2995, 513, 4387, 610, 12016, 1318, 2476, 563, 268, 28214, 13110, 267, 695, 21294, 267, 11821, 267, 610, 4617, 269, 901, 568, 811, 1455, 538, 4587, 2021, 563, 268, 11109, 513, 8611, 267, 799, 949, 1611, 519, 3968, 814, 6603, 707, 14401, 454, 2791, 2904, 6145, 281, 4208, 1684, 594, 5901, 15775, 7984, 2435, 570, 847, 32035, 454, 1692, 1772, 589, 7780, 328, 13958, 2216, 454, 7312, 3782, 8502, 786, 2307, 827, 707, 4191, 543, 2589, 269, 2659, 8502, 949, 2046, 593, 707, 17737, 267, 5011, 267, 543, 1394, 547, 2638, 952, 596, 1745, 1928, 269, 1411, 949, 991, 1022, 540, 519, 1739, 912, 268, 7984, 1400, 1736, 786, 1397, 3968, 543, 707, 2949, 1072, 563, 268, 7984, 710, 4529, 949, 1397, 799, 10351, 568, 4929, 707, 3968, 563, 8450, 532, 589, 16362, 1280, 21619, 22202, 454, 5475, 513, 1686, 543, 2168, 981, 267, 707, 4387, 949, 7662, 2978, 4255, 547, 948, 13209, 519, 2014, 540, 707, 7988, 22202, 2589, 269, 3973, 596, 666, 2253, 6098, 2126, 563, 2414, 948, 3313, 519, 2014, 267, 519, 4387, 949, 2307, 2436, 707, 11213, 30614, 912, 268, 29035, 10393, 610, 7930, 454, 268, 12769, 13899, 2899, 610, 1082, 2053, 454, 268, 1772, 5433, 693, 519, 12614, 540, 30614, 454, 763, 4387, 949, 849, 2307, 952, 707, 11213, 30614, 568, 10483, 676, 2589, 971, 607, 912, 268, 2806, 7538, 11166, 454, 763, 4387, 949, 849, 1616, 547, 917, 952, 519, 11213, 30614, 568, 10483, 676, 2242, 538, 10729, 2095, 267, 971, 607, 912, 268, 30975, 27510, 2095, 454, 268, 16842, 4908, 610, 991, 547, 2712, 3729, 454, 4517, 596, 949, 849, 581, 4280, 676, 707, 4387, 952, 972, 616, 2242, 538, 10729, 1915, 2059, 609, 11213, 30614, 269, 1452, 1331, 2242, 538, 10729, 971, 607, 912, 10673, 1406, 7323, 281, 14844, 3120, 8891, 345, 5029, 923, 7984, 2435, 570, 847, 25124, 454, 27246, 2986, 7984, 2435, 570, 847, 32035, 454, 21589, 2435, 8778, 5563, 616, 2356, 3361, 676, 4551, 689, 1093, 334, 10024, 519, 17256, 8778, 563, 763, 4551, 4283, 998, 519, 8546, 602, 11438, 890, 324, 856, 540, 519, 1560, 4586, 18131, 723, 513, 10156, 23443, 628, 571, 982, 2367, 269, 901, 1797, 4551, 616, 811, 2693, 547, 3914, 519, 15485, 610, 14401, 543, 2014, 606, 3968, 563, 28830, 602, 2333, 519, 1981, 540, 4551, 3478, 883, 519, 15485, 1331, 912, 4777, 711, 946, 1085, 5034, 12853, 454, 4777, 711, 3180, 707, 890, 324, 538, 952, 596, 1745, 519, 20882, 547, 979, 454, 4777, 711, 19060, 950, 2469, 585, 513, 890, 324, 2119, 547, 4628, 8900, 707, 15485, 454, 4777, 711, 5957, 9395, 10991, 896, 18875, 267, 971, 607, 562, 14125, 454, 4777, 711, 4235, 6266, 540, 23931, 10425, 267, 607, 789, 949, 8886, 622, 707, 15485, 454, 4777, 711, 723, 6266, 540, 24494, 1426, 610, 10425, 267, 607, 789, 949, 5000, 4551, 547, 1332, 454, 21589, 2435, 570, 847, 32035, 769, 9040, 625, 1656, 8479, 5753, 454, 289, 28320, 543, 1453, 616, 693, 1981, 540, 772, 30454, 269, 1452, 5563, 2141, 991, 547, 581, 11567, 607, 789, 949, 5815, 513, 3978, 5817, 2783, 267, 971, 607, 17256, 17406, 269, 4676, 12999, 568, 3361, 676, 513, 15485, 11896, 1966, 3850, 10729, 547, 2095, 1394, 883, 519, 14401, 689, 519, 15485, 269, 4676, 12999, 666, 2014, 519, 10729, 547, 3251, 3330, 519, 1560, 2810, 519, 1981, 540, 3968, 269, 898, 949, 1291, 547, 8459, 1085, 18732, 267, 799, 538, 2490, 5012, 547, 1164, 1973, 2604, 543, 3006, 8459, 2042, 563, 27775, 2105, 7335, 281, 1548, 19732, 839, 1879, 1411, 5620, 589, 7984, 2435, 570, 847, 25124, 454, 2791, 2904, 6145, 281, 8891, 1723, 9576, 2052, 514, 7984, 2435, 1924, 454, 21675, 3245, 589, 717, 335, 1280, 7780, 529, 2334, 5901, 28527, 7982, 454, 2252, 707, 772, 2316, 2501, 1394, 1310, 2126, 267, 596, 949, 723, 513, 10729, 1449, 543, 581, 11311, 1114, 11216, 563, 7312, 4387, 610, 12016, 786, 849, 2709, 5796, 593, 875, 547, 2061, 772, 30454, 563, 2252, 596, 1832, 3478, 772, 30454, 543, 5781, 991, 2126, 267, 513, 13382, 949, 2285, 596, 513, 10956, 13310, 585, 11216, 563, 2252, 596, 723, 1044, 998, 519, 22797, 267, 596, 949, 581, 6035, 513, 21420, 8645, 5627, 522, 652, 4088, 563, 1692, 6496, 898, 12769, 584, 454, 32207, 958, 519, 17256, 8778, 1281, 711, 723, 1022, 4551, 610, 824, 7103, 538, 621, 269, 29318, 602, 2014, 772, 2316, 1419, 3262, 689, 519, 6439, 636, 547, 519, 23443, 628, 571, 543, 1287, 547, 519, 15485, 610, 14401, 269, 6884, 4551, 3262, 689, 1776, 851, 540, 519, 1560, 998, 519, 18072, 547, 519, 17256, 8778, 269, 7984, 2435, 8778, 3968, 568, 1447, 1455, 538, 2367, 982, 538, 2021, 1317, 519, 5256, 23443, 628, 571, 568, 1279, 267, 1818, 621, 2352, 585, 4551, 547, 3262, 547, 519, 15485, 563, 21589, 2435, 8778, 3968, 949, 581, 3361, 676, 513, 16770, 10299, 2068, 269, 6884, 513, 6149, 538, 519, 17256, 8778, 7161, 519, 2095, 540, 10729, 543, 3123, 606, 3968, 269, 769, 4587, 2367, 267, 606, 23762, 17150, 666, 2014, 513, 17256, 8778, 3968, 676, 5329, 10729, 689, 1951, 1456, 856, 540, 519, 15485, 4625, 269, 25124, 1522, 849, 581, 3361, 676, 519, 946, 540, 513, 29259, 1031, 547, 8963, 519, 15485, 610, 676, 23443, 628, 1537, 7453, 675, 267, 799, 568, 513, 32560, 540, 519, 23443, 628, 571, 676, 10077, 5160, 689, 3105, 5563, 610, 10551, 5773, 563, 2791, 949, 581, 811, 2693, 547, 723, 513, 772, 2316, 952, 596, 723, 3987, 610, 1776, 2564, 1966, 602, 5540, 519, 4761, 1062, 563, 10673, 1406, 7323, 281, 1548, 1772, 6153, 1280, 7984, 2435, 570, 847, 2657, 454, 291, 690, 623, 2465, 532, 589, 20769, 1809, 3502, 25530, 454, 15862, 676, 2759, 8864, 7251, 333, 2593, 454, 288, 5243, 7928, 30614, 666, 5815, 513, 1072, 1966, 269, 898, 568, 2009, 602, 606, 2799, 4908, 568, 22566, 540, 513, 17256, 8778, 3968, 267, 513, 15485, 1966, 267, 8459, 2068, 267, 15485, 2068, 267, 6797, 2068, 267, 610, 3987, 563, 2252, 707, 2915, 10393, 5526, 547, 8900, 1010, 15485, 1169, 5662, 593, 519, 5662, 267, 621, 1223, 723, 606, 5817, 1072, 3390, 269, 6258, 875, 547, 1852, 707, 5243, 7928, 30614, 543, 875, 547, 1521, 513, 2915, 602, 4749, 2712, 7149, 269, 634, 1614, 1034, 1455, 2010, 540, 4874, 22202, 616, 2799, 30614, 543, 19818, 269, 17268, 4749, 2712, 3729, 538, 1931, 547, 14867, 2933, 267, 799, 666, 581, 3361, 676, 513, 3099, 540, 2188, 8151, 689, 5634, 8965, 2152, 547, 1713, 1072, 4145, 269, 28523, 344, 890, 9429, 568, 513, 1514, 2623, 602, 789, 946, 547, 5968, 609, 835, 1776, 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 ]
[ 533, 11189, 6090, 1185, 4130, 12058, 543, 3677, 4703, 563, 12867, 4362, 602, 2281, 5627, 1152, 14774, 610, 533, 11189, 6090, 538, 3670, 1114, 4525, 540, 519, 10856, 12058, 6417, 1114, 5042, 3252, 267, 689, 2732, 532, 6208, 547, 3965, 2230, 563, 290, 20635, 609, 533, 11189, 6090, 19017, 538, 2694, 540, 519, 18215, 545, 1062, 267, 799, 568, 3238, 538, 3252, 971, 607, 3023, 267, 1426, 543, 14699, 267, 799, 1281, 2965, 2491, 513, 2603, 269, 1809, 3173, 1705, 711, 3605, 1022, 533, 11189, 2281, 538, 519, 19548, 16794, 267, 799, 568, 1141, 519, 1034, 4359, 5042, 3252, 1491, 1747, 267, 971, 607, 7954, 267, 2219, 267, 1893, 543, 2565, 3206, 563, 12867, 538, 29161, 4956, 547, 1294, 952, 519, 1482, 1223, 581, 1767, 585, 1480, 5396, 543, 1336, 713, 547, 581, 519, 2013, 950, 789, 26906, 476, 1321, 267, 6924, 277, 1762, 1004, 1063, 519, 6502, 540, 476, 1691, 543, 476, 2420, 1169, 1032, 689, 476, 1960, 275, 269, 6736, 2921, 883, 2272, 1896, 2188, 267, 689, 519, 5171, 2069, 547, 741, 5198, 543, 8739, 20300, 4567, 267, 519, 2319, 1869, 1336, 519, 1655, 27667, 540, 4987, 729, 519, 21842, 540, 519, 3993, 563, 7883, 532, 1394, 547, 519, 3929, 6125, 1063, 11299, 543, 1453, 267, 3173, 693, 519, 2160, 540, 6115, 1336, 602, 513, 5150, 3929, 6125, 1063, 513, 3993, 543, 1126, 568, 2629, 585, 519, 2208, 540, 930, 2694, 540, 519, 2634, 269, 2991, 30228, 519, 1259, 538, 799, 513, 1895, 540, 11299, 1644, 547, 741, 1453, 585, 5722, 1296, 267, 519, 3173, 4362, 1453, 945, 941, 6462, 14156, 543, 1185, 741, 7214, 2115, 24009, 1185, 513, 476, 1015, 260, 3677, 28481, 25283, 630, 6518, 568, 851, 540, 519, 18215, 545, 1062, 264, 693, 519, 2085, 540, 24369, 593, 3328, 982, 1453, 4171, 11299, 941, 14156, 11397, 563, 3383, 267, 20248, 267, 519, 2634, 666, 3082, 543, 1332, 4470, 593, 875, 1134, 596, 1205, 593, 609, 707, 2025, 14799, 563, 288, 2178, 6125, 609, 519, 3993, 568, 2219, 547, 2285, 513, 1126, 513, 2631, 540, 3354, 799, 2636, 873, 547, 2263, 519, 1158, 267, 543, 519, 6015, 547, 4194, 2042, 269, 769, 1840, 267, 13991, 267, 18906, 633, 11299, 4043, 547, 948, 1453, 4194, 2042, 267, 2417, 4543, 873, 547, 3914, 741, 1761, 563, 8170, 1576, 267, 972, 779, 1100, 2601, 1946, 546, 6758, 666, 1406, 1404, 607, 2462, 513, 20741, 1909, 607, 544, 4548, 269, 1656, 3173, 1448, 856, 602, 513, 2898, 5044, 540, 824, 5444, 5462, 7592, 602, 666, 581, 15110, 689, 519, 4651, 616, 849, 1883, 547, 30196, 4987, 563, 4517, 865, 267, 519, 5837, 540, 519, 1650, 568, 281, 631, 636, 6487, 1655, 269, 6183, 958, 563, 3412, 1137, 3842, 5192, 1399, 454, 13349, 569, 19451, 676, 21046, 607, 1572, 20917, 610, 29849, 267, 7665, 568, 606, 26101, 19744, 626, 10010, 609, 2479, 9687, 2029, 269, 1879, 711, 1603, 585, 634, 670, 809, 267, 646, 666, 581, 1336, 11504, 1582, 25298, 5049, 585, 1010, 8717, 17489, 8213, 547, 918, 15598, 269, 3571, 6574, 10781, 1331, 3478, 17808, 676, 32139, 13643, 593, 12108, 543, 11264, 519, 5450, 549, 2656, 30573, 538, 1175, 896, 8938, 5498, 1597, 3108, 269, 1411, 666, 3346, 7665, 693, 4757, 11333, 2593, 10287, 0, 763, 853, 269, 8834, 781, 29092, 3821, 729, 3710, 3544, 519, 2749, 6821, 267, 593, 12359, 334, 6778, 267, 693, 519, 4098, 540, 519, 11359, 2540, 267, 607, 513, 19746, 1747, 585, 31967, 269, 4438, 519, 1739, 5553, 1558, 1896, 11808, 3785, 267, 540, 799, 519, 1034, 1271, 729, 602, 267, 693, 519, 1439, 540, 519, 1000, 27097, 2540, 267, 519, 1459, 1795, 1228, 11295, 609, 519, 26672, 573, 8323, 338, 602, 1118, 621, 835, 540, 519, 1034, 4190, 538, 772, 3387, 6319, 267, 543, 20515, 10207, 689, 519, 5020, 519, 12142, 543, 14501, 689, 19744, 3209, 5055, 269, 634, 29092, 3821, 568, 934, 525, 1043, 676, 513, 2647, 25047, 13826, 27867, 2540, 543, 814, 513, 1614, 562, 2314, 609, 22225, 5885, 5180, 30617, 269, 769, 476, 15171, 280, 621, 729, 14616, 676, 519, 717, 3031, 749, 1149, 1282, 513, 4339, 4884, 267, 543, 32206, 538, 519, 1739, 1296, 269, 634, 9703, 729, 9927, 538, 519, 3735, 27867, 2540, 267, 2687, 547, 519, 17888, 6492, 540, 519, 942, 281, 519, 4936, 25724, 602, 1915, 3278, 519, 4928, 9060, 922, 12032, 538, 519, 1360, 17715, 14248, 18967, 673, 26434, 267, 2189, 538, 772, 3387, 6319, 269, 0, 3528, 645, 1090, 7632, 267, 8381, 344, 454, 10144, 723, 1044, 14379, 609, 1142, 824, 585, 5215, 540, 1296, 269, 3245, 3308, 11269, 971, 607, 13946, 10367, 267, 3182, 9999, 543, 1603, 267, 547, 11913, 543, 3308, 2792, 971, 607, 4633, 543, 1560, 1893, 267, 519, 2081, 538, 799, 3425, 5968, 814, 4957, 13497, 9065, 1862, 518, 942, 269, 901, 568, 2523, 3020, 585, 519, 2250, 476, 1911, 1296, 267, 607, 2413, 2029, 814, 5129, 513, 2101, 851, 538, 2870, 267, 5935, 543, 3048, 908, 519, 2081, 538, 799, 2911, 543, 1780, 593, 1344, 547, 938, 2828, 543, 1920, 269, 4004, 322, 566, 568, 811, 10375, 267, 1950, 543, 11121, 982, 2479, 1354, 269, 6258, 782, 827, 922, 4241, 1686, 538, 17166, 1548, 26834, 634, 3778, 540, 4004, 322, 566, 256, 5649, 811, 454, 11754, 547, 31336, 454, 2467, 616, 1100, 8039, 585, 713, 2140, 563, 24841, 344, 568, 513, 1453, 781, 4605, 1433, 2278, 269, 1261, 814, 3370, 1896, 10643, 609, 8187, 13928, 7734, 267, 1519, 7256, 570, 4669, 956, 281, 2201, 519, 22750, 267, 12098, 326, 625, 267, 3400, 1231, 267, 667, 8543, 543, 22500, 281, 3245, 12426, 547, 7305, 267, 4518, 543, 11846, 281, 3973, 543, 3767, 267, 543, 835, 11325, 10643, 7991, 543, 14080, 11040, 267, 3487, 625, 543, 18270, 725, 689, 15907, 519, 2622, 267, 543, 17166, 1548, 26834, 634, 3778, 540, 9442, 563, 29771, 1631, 547, 581, 519, 1101, 547, 5873, 827, 2027, 338, 543, 14232, 13847, 563, 15648, 9736, 476, 1708, 271, 24747, 619, 7734, 454, 6440, 2353, 2924, 11603, 0, 24927, 540, 6657, 585, 20070, 3293, 590, 1157, 543, 2107, 23782, 539, 5839, 1886, 16104, 454, 24927, 540, 6657, 585, 20070, 3293, 267, 590, 1157, 543, 2107, 23782, 539, 5839, 1886, 16104, 454, 1607, 8943, 568, 5497, 585, 3025, 8036, 538, 519, 2534, 540, 11324, 5224, 267, 11222, 22626, 543, 16089, 5672, 1886, 16104, 269, 898, 814, 1044, 2919, 547, 2149, 519, 10304, 540, 5672, 1886, 16104, 538, 1416, 543, 547, 3565, 547, 519, 5726, 540, 5672, 1886, 16104, 538, 519, 3552, 563, 268, 476, 1240, 5147, 476, 1001, 279, 454, 268, 8433, 540, 5113, 543, 11595, 454, 763, 8943, 5036, 519, 4441, 585, 519, 1416, 543, 8027, 540, 5672, 1886, 16104, 602, 616, 24835, 762, 540, 535, 2056, 585, 2933, 538, 741, 2067, 7226, 563, 2005, 568, 2966, 547, 581, 1224, 538, 14966, 609, 519, 8433, 540, 5113, 543, 11595, 630, 302, 292, 295, 264, 8943, 540, 6657, 585, 20070, 3293, 267, 590, 1157, 543, 2107, 23782, 539, 13363, 539, 13056, 10044, 630, 14197, 8943, 1916, 4467, 20869, 609, 519, 4441, 538, 519, 8943, 568, 513, 2783, 540, 513, 9265, 5726, 6132, 775, 547, 11222, 4106, 622, 543, 5305, 7210, 267, 13676, 543, 29152, 539, 6870, 2831, 9783, 896, 519, 26085, 11094, 2920, 476, 1001, 277, 269, 0, 7212, 20521, 4054, 1332, 6923, 538, 9341, 2127, 540, 519, 772, 269, 590, 1421, 3395, 873, 538, 21617, 2127, 568, 711, 7543, 563, 1103, 3345, 17665, 267, 20521, 4054, 7363, 786, 711, 7639, 3544, 1032, 15778, 269, 634, 4054, 666, 581, 6738, 538, 11149, 267, 855, 519, 1697, 3529, 1590, 581, 5697, 563, 291, 17768, 8677, 609, 693, 2547, 1614, 1296, 540, 2208, 616, 519, 2953, 2010, 540, 20521, 4054, 585, 3395, 16280, 269, 634, 2370, 4054, 616, 3812, 676, 20521, 25210, 676, 21910, 532, 873, 5196, 2027, 3597, 1949, 602, 7413, 741, 2450, 693, 15657, 269, 1656, 267, 540, 1576, 267, 3395, 873, 538, 11149, 2337, 547, 3970, 513, 3529, 779, 2450, 607, 1134, 563, 290, 527, 6350, 4054, 666, 6108, 519, 4832, 13964, 267, 855, 1354, 3001, 873, 972, 585, 519, 4832, 267, 789, 1058, 581, 1035, 743, 13846, 676, 3001, 873, 3544, 585, 2110, 5712, 25656, 269, 1403, 6410, 13964, 782, 693, 2899, 267, 519, 4054, 949, 6749, 741, 4829, 269, 2142, 2386, 547, 1847, 873, 1394, 3330, 1354, 519, 1101, 15470, 563, 302, 24249, 543, 594, 798, 711, 1378, 513, 8511, 267, 6862, 798, 649, 723, 519, 1318, 2230, 538, 938, 1753, 547, 2198, 622, 513, 20521, 3529, 1282, 4411, 4365, 269, 594, 723, 2828, 945, 1332, 20521, 4054, 602, 2198, 622, 873, 13964, 1282, 519, 3636, 3275, 543, 4558, 873, 3330, 519, 2777, 267, 610, 538, 513, 8511, 267, 1282, 519, 4411, 3275, 269, 594, 666, 1175, 4952, 875, 1454, 12257, 972, 1131, 581, 538, 16116, 24453, 267, 19790, 976, 267, 561, 1307, 267, 610, 18812, 26258, 689, 1250, 1378, 3529, 563, 763, 5354, 540, 21543, 20521, 4054, 616, 6738, 538, 796, 3430, 847, 633, 3109, 17428, 269, 1879, 8939, 606, 10694, 8708, 1310, 11449, 513, 20521, 3529, 267, 1376, 609, 513, 8708, 827, 519, 1482, 2450, 607, 519, 21543, 1494, 269, 1306, 519, 3529, 9428, 267, 1847, 519, 3529, 909, 547, 513, 1007, 8708, 835, 2450, 3677, 1142, 942, 563, 3519, 1555, 619, 1058, 723, 15792, 12775, 267, 609, 513, 2620, 267, 10487, 1356, 11057, 8708, 9944, 547, 3180, 12775, 269, 589, 12902, 3760, 786, 948, 950, 3001, 519, 2030, 563, 24456, 513, 20521, 3529, 693, 519, 1697, 3178, 269, 1879, 22151, 513, 3529, 689, 922, 21543, 1494, 547, 513, 811, 10694, 8708, 267, 581, 2386, 543, 2198, 622, 621, 693, 519, 1482, 3178, 607, 538, 519, 3312, 1494, 269, 634, 3490, 540, 519, 17657, 1058, 581, 6659, 5594, 1657, 3037, 1377, 269, 11408, 4734, 2614, 2230, 693, 519, 1283, 540, 513, 8708, 585, 7311, 1216, 269, 3629, 20521, 4054, 609, 693, 2547, 3670, 3108, 540, 6505, 7943, 1142, 1554, 269, 1879, 6854, 3330, 519, 2777, 267, 1747, 20521, 4054, 538, 4395, 540, 513, 5045, 1922, 5217, 6885, 269, 1403, 2556, 267, 5841, 1769, 949, 581, 29979, 563, 12850, 519, 2030, 7157, 269, 634, 3037, 1058, 3251, 5848, 855, 711, 1216, 8421, 3022, 269, 18227, 519, 3037, 9444, 1932, 6632, 267, 6862, 1932, 3819, 267, 568, 1898, 585, 519, 1072, 540, 513, 20521, 3529, 269, 27619, 513, 5010, 29238, 3575, 2966, 2523, 585, 20521, 4054, 602, 28368, 1134, 267, 855, 25601, 519, 1697, 2179, 540, 7509, 269, 4438, 2053, 540, 3742, 2208, 538, 519, 5614, 543, 4832, 267, 1216, 20521, 4054, 3232, 269, 769, 5162, 267, 1216, 873, 1175, 2614, 547, 1832, 519, 3037, 5848, 563, 290, 527, 6350, 4054, 991, 9436, 543, 824, 5567, 269, 4826, 532, 3123, 13226, 547, 682, 778, 2476, 689, 2371, 538, 11149, 267, 4061, 3500, 3146, 3161, 18168, 616, 1434, 547, 946, 269, 1684, 711, 6992, 1125, 1282, 2887, 543, 5162, 950, 2371, 616, 29680, 563, 10111, 565, 630, 289, 517, 22448, 264, 13017, 568, 606, 18264, 578, 1695, 6019, 9457, 8493, 10273, 543, 606, 4810, 4677, 5856, 269, 4173, 12353, 6241, 568, 2966, 547, 948, 543, 5000, 1866, 538, 741, 12202, 18129, 269, 27189, 2055, 610, 8292, 547, 18078, 17106, 11333, 3820, 269, 0, 11039, 17907, 3042, 2817, 11614, 616, 513, 2922, 10093, 585, 24368, 781, 13155, 7320, 563, 13233, 11614, 543, 824, 6870, 2127, 616, 835, 540, 519, 1655, 2081, 547, 18359, 2470, 543, 2149, 2686, 2418, 269, 1358, 1683, 513, 3656, 16102, 585, 7320, 543, 1921, 721, 609, 3638, 267, 1272, 3766, 1516, 8916, 1898, 585, 938, 1134, 1373, 563, 8601, 24368, 779, 2713, 2686, 8916, 1373, 519, 1034, 3309, 540, 1022, 1533, 610, 8513, 538, 5245, 267, 649, 723, 519, 10545, 8167, 540, 2244, 538, 6870, 2127, 971, 607, 3084, 11614, 563, 1103, 476, 1001, 277, 519, 24368, 6554, 8149, 547, 30945, 519, 1858, 540, 6870, 2244, 689, 1472, 476, 279, 260, 547, 476, 1704, 9077, 855, 2094, 1287, 267, 1360, 2370, 814, 4957, 563, 2026, 24368, 619, 267, 649, 14951, 938, 3084, 11614, 543, 609, 519, 5718, 543, 9844, 540, 3689, 8315, 1004, 267, 1289, 593, 519, 24368, 6554, 547, 1628, 513, 8273, 543, 1732, 1062, 540, 11614, 543, 6870, 2127, 2066, 519, 1533, 676, 912, 8064, 274, 22782, 11754, 15040, 454, 268, 24367, 519, 7029, 547, 5595, 519, 2450, 540, 24368, 779, 6870, 1858, 1062, 563, 268, 30799, 538, 1134, 17907, 3042, 1007, 2817, 20088, 547, 2149, 2249, 543, 948, 25580, 6237 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 3686, 4939, 546, 16052, 1422, 14050, 3189, 11328, 2183, 7346, 13729, 346, 296, 3686, 4939, 630, 323, 268, 272, 9984, 3250, 1422, 14050, 3189, 10712, 26743, 1145, 7346, 341, 691, 2867, 320, 348, 1422, 14050, 3189, 10712, 26743, 1145, 309, 541, 7346, 24838, 348, 1422, 14050, 3189, 10712, 26743, 1145, 13729, 7346, 13729, 3189, 10712, 26743, 1145, 3686, 1422, 14050, 3189, 11328, 2183, 10712, 26743, 1145, 22042, 272, 27037, 23797, 640, 21609, 8170, 346, 258, 272, 7346, 10712, 26743, 1145, 3686, 1422, 14050, 3189, 16655, 8110, 335, 6944, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 10712, 26743, 1145, 17353, 704, 335, 348, 18155, 10946, 12453, 258, 272, 3686, 1422, 14050, 3189, 293, 864, 7346, 13729, 346, 325, 3686, 4939, 476, 273, 16052, 1422, 14050, 3189, 10955, 613, 7346, 13729, 346, 324, 3686, 4939, 476, 272, 16052, 1422, 14050, 3189, 19723, 23753, 7346, 13729, 28452, 3686, 4939, 476, 271, 16052, 1422, 14050, 3189, 290, 617, 574, 10521, 28053, 7346, 13729, 346, 342, 3686, 4939, 630, 323, 268, 273, 9984, 3250, 1422, 14050, 3189, 298, 28053, 7346, 28053, 23373, 6635, 321, 291, 574, 348, 1422, 14050, 3189, 298, 31936, 3080, 28053, 7346, 28053, 17353, 6635, 321, 291, 574, 266, 272, 3686, 1422, 14050, 3189, 298, 28053, 2704, 6495, 7346, 28053, 2704, 6495, 23373, 6635, 321, 291, 574, 348, 1422, 14050, 3189, 298, 31936, 3080, 28053, 289, 9508, 7346, 28053, 289, 9508, 17353, 6635, 321, 291, 574, 266, 272, 3686, 1422, 14050, 3189, 298, 31936, 3080, 28053, 3849, 329, 8809, 19340, 539, 8138, 6996, 327, 291, 558, 664, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2704, 6495, 315, 28053, 289, 9508, 7346, 8138, 6996, 327, 291, 558, 664, 3686, 1422, 14050, 3189, 16655, 13640, 5537, 291, 12801, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 289, 1716, 7322, 291, 12801, 17353, 1706, 5537, 348, 18155, 10946, 12453, 258, 272, 3686, 1422, 14050, 3189, 14737, 13640, 5537, 291, 12801, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 289, 1716, 7322, 291, 12801, 17353, 1706, 5537, 348, 18155, 2381, 12453, 258, 272, 3686, 1422, 14050, 3189, 16655, 8110, 335, 291, 12801, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 289, 1716, 7322, 291, 12801, 17353, 704, 335, 348, 18155, 10946, 12453, 258, 272, 3686, 1422, 14050, 3189, 14737, 8110, 335, 291, 12801, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 289, 1716, 7322, 291, 12801, 17353, 704, 335, 348, 18155, 2381, 12453, 258, 272, 3686, 1422, 14050, 3189, 14737, 13640, 5537, 8110, 335, 291, 12801, 22042, 273, 27037, 23797, 640, 31262, 8170, 3189, 289, 1716, 7322, 291, 12801, 17353, 1706, 5537, 12101, 704, 335, 348, 18155, 2381, 12453, 258, 272, 267, 258, 273, 3686, 1422, 14050, 3189, 16655, 13640, 5537, 8110, 335, 291, 12801, 22042, 273, 27037, 23797, 640, 31262, 8170, 3189, 289, 1716, 7322, 291, 12801, 17353, 1706, 5537, 12101, 704, 335, 348, 18155, 10946, 12453, 258, 272, 267, 258, 273, 3686, 1422, 14050, 3189, 291, 12801, 13640, 5537, 7346, 289, 1716, 7322, 291, 12801, 17353, 1706, 5537, 3686, 1422, 14050, 3189, 291, 12801, 13640, 5537, 2414, 10955, 613, 22042, 273, 27037, 291, 12801, 13640, 5537, 3709, 258, 272, 12917, 258, 273, 14587, 1422, 14050, 3189, 291, 12801, 8110, 335, 7346, 289, 1716, 7322, 291, 12801, 17353, 704, 335, 3686, 1422, 14050, 3189, 291, 12801, 8110, 335, 2414, 11328, 2183, 22042, 273, 27037, 291, 12801, 8110, 335, 3709, 258, 272, 12917, 258, 273, 14587, 1422, 14050, 3189, 291, 12801, 307, 340, 921, 13640, 5537, 2414, 298, 28053, 22042, 273, 27037, 307, 340, 921, 3189, 289, 1716, 7322, 291, 12801, 23685, 1706, 5537, 13925, 258, 272, 12917, 258, 273, 14587, 1422, 14050, 3189, 27087, 1103, 291, 12801, 22042, 273, 27037, 18773, 7268, 289, 1716, 7322, 291, 12801, 264, 3709, 258, 272, 8703, 258, 273, 3686, 1422, 14050, 3189, 19340, 13729, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 13729, 346, 2839, 12453, 258, 272, 3686, 1422, 14050, 3189, 4467, 22683, 29669, 4462, 542, 19340, 13729, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 13729, 346, 308, 2839, 12453, 258, 272, 3686, 1422, 14050, 3189, 19340, 13729, 303, 657, 290, 4141, 742, 338, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 13729, 346, 2839, 12453, 258, 272, 3686, 1422, 14050, 3189, 19340, 13729, 13729, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 31182, 3189, 19340, 13729, 346, 3686, 2410, 258, 272, 3686, 1422, 14050, 3189, 19340, 13729, 4002, 300, 21983, 6826, 345, 1512, 7346, 19340, 13729, 3189, 300, 21983, 6826, 345, 1512, 3686, 1422, 14050, 3189, 19340, 4002, 28053, 22042, 273, 27037, 23797, 640, 21609, 8170, 346, 258, 272, 2410, 258, 273, 3686, 1422, 14050, 3189, 19340, 4002, 28053, 296, 297, 22042, 274, 27037, 23797, 640, 21609, 8170, 346, 258, 272, 7346, 307, 340, 921, 305, 8803, 346, 258, 273, 267, 258, 274, 3686, 348, 1422, 14050, 3189, 28053, 5804, 23797, 640, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 28072, 4067, 346, 3250, 12453, 258, 272, 3686, 1422, 14050, 3189, 15761, 3555, 28926, 22042, 273, 27037, 23797, 640, 21609, 8170, 346, 258, 272, 7346, 23797, 640, 31262, 8170, 3189, 12385, 346, 290, 12453, 258, 273, 3686, 348, 1422, 14050, 3189, 15761, 3555, 28926, 26594, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 12385, 346, 290, 12453, 258, 272, 3686, 1422, 14050, 3189, 3725, 24554, 28926, 22042, 273, 27037, 23797, 640, 21609, 8170, 346, 258, 272, 7346, 23797, 640, 31262, 8170, 3189, 12385, 23334, 12453, 258, 273, 3686, 348, 1422, 14050, 3189, 3725, 24554, 28926, 26594, 22042, 273, 27037, 23797, 640, 31262, 8170, 3189, 12385, 23334, 12453, 258, 272, 3686, 1422, 14050, 3189, 294, 1090, 1014, 22042, 273, 27037, 23797, 640, 21609, 8170, 346, 258, 272, 7346, 23797, 640, 31262, 8170, 3189, 12385, 346, 294, 12453, 258, 273, 3686, 348, 1422, 14050, 3189, 294, 1090, 1014, 26594, 22042, 273, 27037, 23797, 640, 31262, 8170, 3189, 12385, 346, 294, 12453, 258, 272, 3686, 1422, 14050, 3189, 289, 1716, 7322, 22129, 4002, 300, 21983, 6826, 345, 1512, 7346, 304, 4596, 3189, 300, 21983, 6826, 345, 1512, 7346, 289, 1716, 7322, 22129, 3686, 1422, 14050, 3189, 289, 1716, 7322, 9199, 576, 300, 6260, 12385, 7346, 12385, 346, 300, 3686, 1422, 14050, 3189, 13640, 600, 291, 558, 664, 7346, 15228, 2513, 13640, 600, 9556, 8595, 3189, 15228, 2513, 291, 558, 664, 3686, 1422, 14050, 3189, 13640, 600, 291, 558, 664, 4002, 28053, 7346, 23797, 640, 21609, 8170, 3189, 28053, 7346, 13640, 600, 291, 558, 664, 3686, 1422, 14050, 3189, 13640, 600, 291, 558, 664, 289, 323, 787, 7346, 15228, 2513, 13640, 600, 9556, 8595, 3189, 15228, 2513, 291, 558, 664, 289, 323, 787, 3686, 1422, 14050, 3189, 13640, 600, 291, 558, 664, 2419, 691, 22042, 273, 27037, 23797, 640, 31262, 8170, 3189, 309, 1815, 3189, 12978, 8703, 258, 272, 12453, 258, 273, 3686, 1422, 14050, 3189, 13640, 600, 291, 574, 7346, 15228, 2513, 291, 574, 348, 1422, 14050, 3189, 13640, 600, 10870, 867, 26594, 2410, 338, 348, 1422, 14050, 3189, 13640, 600, 10870, 867, 22042, 272, 27037, 304, 4596, 346, 258, 272, 2410, 338, 3686, 1422, 14050, 3189, 13640, 600, 10870, 867, 309, 1815, 26594, 7346, 309, 1815, 346, 338, 3686, 1422, 14050, 3189, 13640, 600, 10870, 867, 309, 1815, 22042, 272, 27037, 304, 4596, 346, 258, 272, 7346, 309, 1815, 3189, 13640, 600, 10870, 867, 346, 3686, 3686, 1422, 14050, 3189, 13640, 600, 291, 558, 664, 289, 323, 787, 13640, 600, 10870, 867, 7346, 13640, 600, 10870, 867, 3189, 13640, 600, 291, 558, 664, 289, 323, 787, 3686, 1422, 14050, 3189, 13640, 600, 291, 558, 664, 289, 323, 787, 13640, 600, 10870, 867, 309, 1815, 7346, 13640, 600, 10870, 867, 309, 1815, 3189, 13640, 600, 291, 558, 664, 289, 323, 787, 3686, 1422, 14050, 3189, 13640, 600, 10870, 867, 309, 1815, 13729, 7346, 31182, 3189, 13729, 346, 306, 3686, 348, 1422, 14050, 3189, 13640, 600, 306, 7346, 13640, 600, 10870, 867, 346, 20731, 271, 348, 1422, 14050, 3189, 13640, 600, 307, 7346, 13640, 600, 10870, 867, 346, 20731, 272, 348, 1422, 14050, 3189, 13640, 600, 308, 7346, 13640, 600, 10870, 867, 346, 20731, 273, 348, 1422, 14050, 3189, 13640, 600, 289, 776, 1417, 878, 22042, 272, 27037, 14433, 3709, 258, 272, 3686, 1422, 14050, 3189, 13640, 600, 21920, 7346, 749, 348, 1422, 14050, 3189, 13640, 600, 21920, 29381, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 13640, 600, 21920, 3686, 1422, 14050, 3189, 13640, 600, 21920, 14738, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 13640, 600, 21920, 3686, 1422, 14050, 3189, 13640, 600, 21920, 1103, 306, 7346, 13640, 600, 21920, 3709, 271, 3686, 1422, 14050, 3189, 13640, 600, 21920, 1103, 307, 7346, 13640, 600, 21920, 3709, 272, 3686, 1422, 14050, 3189, 13640, 600, 21920, 29381, 306, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 13640, 600, 21920, 1103, 306, 3686, 1422, 14050, 3189, 13640, 600, 21920, 29381, 307, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 13640, 600, 21920, 1103, 307, 3686, 1422, 14050, 3189, 13640, 600, 21920, 14738, 306, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 13640, 600, 21920, 1103, 306, 3686, 1422, 14050, 3189, 13640, 600, 21920, 14738, 307, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 13640, 600, 21920, 1103, 307, 3686, 1422, 14050, 3189, 13640, 600, 21920, 1103, 20784, 14285, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 13640, 600, 21920, 1103, 306, 3686, 1422, 14050, 3189, 13640, 600, 21920, 1103, 26950, 14285, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 13640, 600, 21920, 1103, 307, 3686, 1422, 14050, 3189, 13640, 600, 21920, 1103, 306, 14738, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 13640, 600, 21920, 1103, 306, 3686, 1422, 14050, 3189, 13640, 600, 21920, 1103, 307, 14738, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 13640, 600, 21920, 1103, 307, 3686, 1422, 14050, 3189, 31863, 13640, 600, 10870, 867, 13729, 22042, 273, 27037, 23797, 640, 31262, 8170, 3189, 13640, 600, 10870, 867, 309, 1815, 26594, 17353, 704, 335, 13925, 258, 272, 12453, 258, 273, 3686, 1422, 14050, 3189, 13640, 5537, 13640, 600, 10870, 867, 13729, 22042, 273, 27037, 23797, 640, 31262, 8170, 3189, 13640, 600, 10870, 867, 309, 1815, 26594, 17353, 1706, 5537, 13925, 258, 272, 12453, 258, 273, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 1103, 306, 7346, 289, 1716, 7322, 291, 12801, 3709, 271, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 1103, 307, 7346, 289, 1716, 7322, 291, 12801, 3709, 272, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 29381, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 289, 1716, 7322, 291, 12801, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 14738, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 289, 1716, 7322, 291, 12801, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 1103, 20784, 14285, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 289, 1716, 7322, 291, 12801, 1103, 306, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 1103, 306, 14738, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 289, 1716, 7322, 291, 12801, 1103, 306, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 1103, 26950, 14285, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 289, 1716, 7322, 291, 12801, 1103, 307, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 1103, 307, 14738, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 289, 1716, 7322, 291, 12801, 1103, 307, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 289, 776, 1417, 878, 29381, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 29381, 7346, 289, 1716, 7322, 291, 12801, 3686, 1422, 14050, 3189, 289, 1716, 7322, 291, 12801, 289, 776, 1417, 878, 14738, 7346, 23797, 640, 21609, 8170, 3189, 28053, 2414, 763, 14738, 7346, 289, 1716, 7322, 291, 12801, 3686, 1422, 14050, 3189, 13640, 600, 294, 516, 6807, 11592, 22042, 273, 27037, 23797, 640, 21609, 8170, 346, 258, 272, 7346, 23797, 640, 31262, 8170, 3189, 13729, 3189, 15228, 2513, 13640, 600, 9556, 8595, 3189, 15228, 2513, 294, 516, 6807, 11592, 3686, 2410, 258, 273, 3686, 348, 1422, 14050, 3189, 13640, 600, 294, 516, 6807, 11592, 13729, 22042, 272, 27037, 23797, 640, 31262, 8170, 3189, 13729, 3189, 15228, 2513, 13640, 600, 9556, 8595, 346, 294, 3686, 2410, 258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21890, 710, 11860, 2129, 331, 3691, 7815, 667, 267, 2441, 27255, 808, 2676, 309, 663, 600, 1889, 808, 1696, 620, 269, 589, 6198, 3095, 1063, 519, 1277, 821, 1629, 14007, 848, 11682, 293, 279, 543, 519, 16606, 3815, 2098, 22143, 278, 1556, 538, 2473, 30499, 2790, 29472, 566, 269, 20703, 269, 8426, 476, 4343, 263, 273, 1070, 476, 13679, 1700, 9965, 630, 1001, 271, 1040, 476, 14341, 590, 12541, 643, 553, 534, 590, 267, 16910, 662, 328, 918, 300, 267, 23111, 330, 684, 808, 310, 563, 291, 4592, 32166, 918, 1143, 564, 21560, 1277, 821, 670, 274, 30897, 710, 476, 2767, 18861, 566, 543, 2038, 20436, 566, 676, 10717, 29920, 4083, 269, 12813, 24382, 2637, 564, 269, 476, 275, 263, 1015, 1070, 552, 1911, 28512, 278, 630, 1220, 279, 1040, 476, 14321, 26689, 1067, 808, 300, 267, 918, 5255, 514, 651, 918, 267, 744, 677, 557, 671, 10790, 1696, 620, 563, 22977, 3394, 2045, 7939, 540, 1565, 543, 3965, 676, 667, 4592, 32166, 661, 295, 21587, 27798, 280, 320, 269, 12813, 24382, 22776, 269, 476, 280, 263, 272, 1070, 552, 1911, 4962, 277, 280, 630, 1001, 272, 1916, 325, 1956, 2257, 1895, 454, 5327, 32606, 519, 2164, 540, 608, 727, 15971, 3646, 593, 2241, 343, 20284, 3885, 563, 15757, 5651, 992, 15444, 267, 962, 5622, 20219, 267, 4469, 320, 767, 331, 17335, 1696, 620, 563, 32575, 10295, 1327, 328, 543, 6090, 676, 16439, 2487, 3838, 22693, 269, 3163, 476, 25834, 263, 276, 6434, 277, 1070, 476, 25908, 1700, 23417, 630, 1220, 279, 1040, 476, 12739, 717, 9618, 8643, 715, 267, 5484, 26359, 681, 267, 2494, 322, 639, 334, 966, 2676, 27778, 345, 755, 578, 545, 345, 30838, 267, 7085, 517, 580, 808, 295, 269, 5948, 540, 519, 1753, 984, 2135, 16606, 3815, 267, 17628, 6938, 6579, 3633, 476, 273, 267, 476, 274, 267, 609, 10295, 8552, 4524, 269, 20703, 269, 24741, 476, 280, 263, 276, 1070, 476, 5325, 275, 1700, 4366, 275, 630, 1220, 275, 1040, 476, 15433, 932, 16211, 808, 267, 2806, 629, 517, 19182, 267, 20917, 525, 517, 623, 294, 267, 7085, 517, 580, 454, 297, 295, 269, 12338, 6438, 1753, 984, 2135, 476, 272, 543, 6046, 3815, 594, 20324, 1199, 5573, 17628, 6938, 6579, 3633, 273, 10295, 8552, 4524, 23938, 688, 7120, 4286, 1599, 269, 9966, 269, 20703, 269, 2637, 564, 269, 476, 2641, 263, 278, 1070, 476, 14444, 277, 1700, 15647, 271, 630, 1001, 273, 1040, 476, 10204, 570, 27688, 7615, 10790, 267, 18548, 2917, 25633, 267, 6428, 8811, 10790, 1696, 620, 563, 295, 558, 27340, 748, 32764, 311, 288, 272, 13592, 7519, 1480, 2634, 980, 267, 6418, 1274, 267, 9025, 543, 5042, 1646, 269, 14844, 269, 2637, 564, 269, 476, 4391, 263, 1015, 1070, 476, 9818, 276, 1700, 9818, 278, 630, 1220, 276, 1916, 14378, 13185, 22603, 19294, 267, 25347, 26709, 29273, 267, 18671, 618, 15595, 594, 454, 564, 620, 269, 14938, 9760, 9606, 10095, 17244, 8761, 5778, 16467, 11365, 1327, 328, 602, 24705, 1981, 2066, 10368, 6302, 269, 8426, 476, 14983, 263, 274, 1070, 476, 30589, 1700, 276, 4391, 630, 1001, 273, 1040, 476, 15094, 744, 685, 305, 334, 752, 645, 297, 267, 14216, 714, 3999, 529, 623, 267, 10557, 595, 1696, 620, 269, 1401, 727, 454, 2425, 9760, 538, 26742, 19631, 10295, 8552, 4713, 14439, 4049, 632, 18051, 334, 13592, 269, 14844, 269, 2637, 564, 269, 476, 6246, 263, 277, 1070, 476, 276, 5952, 1700, 6812, 280, 630, 1001, 272, 1040, 476, 15876, 700, 1690, 324, 717, 267, 5651, 572, 681, 267, 6762, 614, 654, 267, 11831, 808, 267, 623, 7776, 631, 2676, 29834, 8028, 269, 20150, 8552, 2934, 538, 8055, 5336, 10402, 529, 6794, 269, 2549, 269, 808, 269, 2405, 269, 2637, 564, 269, 595, 12054, 514, 269, 2405, 269, 2637, 564, 269, 476, 15150, 290, 263, 275, 1070, 476, 27174, 1700, 5379, 273, 630, 1001, 271, 1040, 476, 14690, 15794, 661, 267, 27975, 335, 595, 267, 717, 727, 345, 661, 1696, 620, 269, 28080, 9643, 454, 29754, 540, 1488, 343, 2164, 538, 513, 11095, 20560, 10856, 2203, 543, 973, 777, 527, 12885, 519, 1480, 26737, 538, 10636, 27340, 748, 8951, 269, 11020, 476, 15171, 27456, 339, 476, 277, 1070, 476, 14444, 274, 1700, 14991, 277, 630, 1220, 280, 1040, 476, 11260, 25306, 717, 267, 3487, 15838, 631, 267, 918, 20482, 645, 267, 631, 836, 1564, 323, 21807, 454, 300, 267, 717, 1815, 345, 808, 269, 24438, 4082, 540, 2790, 29472, 566, 267, 10295, 267, 17465, 267, 543, 30484, 4577, 1688, 5322, 538, 1079, 3885, 609, 606, 9838, 8121, 311, 5444, 15817, 269, 2549, 269, 808, 269, 2405, 269, 2637, 564, 269, 476, 12208, 263, 275, 1070, 476, 28147, 1700, 30329, 630, 1220, 273, 1040, 476, 12293, 16441, 962, 313, 267, 631, 1846, 2313, 7534, 631, 267, 12852, 4275, 13568, 590, 1696, 620, 563, 18128, 2064, 585, 9525, 540, 717, 301, 289, 272, 299, 538, 10295, 269, 2549, 269, 808, 269, 2405, 269, 2637, 564, 269, 645, 11671, 17595, 9332, 337, 269, 2637, 564, 269, 476, 14689, 289, 263, 272, 1070, 476, 8618, 1700, 10170, 630, 1001, 273, 1040, 476, 10082, 9796, 3271, 681, 267, 3794, 6471, 645, 267, 631, 1575, 334, 589, 1696, 620, 269, 570, 321, 343, 272, 454, 3873, 680, 334, 1231, 340, 11797, 568, 5532, 547, 8965, 4713, 538, 8983, 543, 3425, 281, 6286, 585, 476, 2420, 336, 1556, 32280, 6794, 269, 28540, 269, 14844, 331, 6298, 269, 2233, 269, 7330, 476, 9818, 263, 736, 1070, 476, 6507, 273, 280, 1700, 6507, 274, 275, 630, 1220, 277, 1040, 19534, 476, 1001, 24700, 2752, 296, 5444, 1753, 269, 0, 763, 29331, 540, 9147, 6792, 281, 589, 6651, 585, 8866, 454, 763, 2250, 568, 519, 5169, 540, 945, 649, 616, 2221, 267, 543, 1453, 17330, 547, 917, 602, 15999, 7122, 563, 26108, 267, 2112, 267, 7729, 30416, 267, 9631, 839, 540, 9568, 267, 1216, 267, 6801, 267, 5810, 267, 543, 3504, 8964, 282, 547, 3717, 540, 519, 11204, 14421, 690, 3415, 568, 1100, 2653, 4305, 269, 898, 10522, 7127, 883, 606, 608, 531, 1540, 267, 10477, 267, 9589, 7122, 267, 3638, 538, 14692, 543, 1769, 269, 1215, 1281, 835, 1935, 621, 609, 2370, 3283, 286, 15332, 513, 2243, 540, 3961, 267, 1022, 1935, 547, 840, 6953, 529, 13732, 13299, 1033, 517, 919, 513, 7279, 585, 519, 1114, 267, 993, 10270, 618, 1354, 519, 16854, 267, 606, 10343, 540, 938, 4158, 5011, 267, 543, 540, 513, 2250, 602, 2306, 519, 6792, 540, 2221, 883, 1018, 621, 568, 563, 2690, 1383, 267, 547, 22401, 883, 519, 13131, 1236, 16630, 540, 519, 3213, 520, 997, 826, 568, 547, 979, 2620, 883, 519, 3618, 267, 607, 950, 538, 6689, 649, 10943, 14414, 538, 519, 4764, 543, 12758, 938, 1714, 28647, 883, 519, 16095, 269, 1677, 1450, 13951, 547, 1745, 519, 31926, 6273, 676, 670, 826, 16852, 564, 2946, 582, 331, 267, 519, 18761, 2025, 812, 267, 568, 607, 1271, 607, 2879, 10212, 1782, 883, 513, 20516, 779, 5152, 269, 700, 2795, 532, 609, 898, 345, 600, 333, 5451, 267, 513, 5694, 1652, 2025, 15609, 609, 14733, 32336, 321, 2158, 1657, 3141, 5287, 795, 578, 3149, 267, 610, 693, 13259, 16189, 267, 513, 15609, 5601, 689, 4171, 2212, 8057, 513, 8970, 31537, 267, 568, 607, 1898, 513, 5578, 607, 1565, 547, 14902, 693, 13951, 563, 763, 1739, 3635, 568, 2653, 543, 606, 27592, 547, 1187, 269, 3807, 979, 547, 513, 9754, 267, 1930, 513, 1433, 267, 610, 979, 585, 513, 3802, 1247, 3168, 5702, 693, 782, 519, 9735, 3029, 269, 2060, 971, 3029, 267, 519, 11317, 540, 891, 1482, 3338, 267, 1082, 5553, 3516, 267, 6836, 547, 2099, 741, 1378, 3552, 652, 9909, 563, 294, 16104, 585, 8866, 454, 5331, 513, 11604, 602, 3085, 1406, 2132, 519, 1769, 267, 855, 519, 20224, 269, 5994, 513, 18962, 602, 838, 1080, 23419, 607, 3109, 607, 3781, 269, 4935, 729, 1855, 345, 13906, 28309, 10087, 267, 519, 7296, 11604, 269, 1261, 729, 5156, 547, 581, 9631, 30876, 6974, 543, 9631, 30876, 582, 550, 282, 646, 729, 10876, 543, 1223, 798, 4376, 269, 3571, 1915, 729, 1360, 1950, 267, 19979, 267, 543, 1698, 878, 1190, 281, 513, 5601, 945, 2219, 899, 513, 3032, 267, 513, 3032, 13402, 25976, 269, 1855, 345, 13906, 28309, 10087, 5795, 267, 855, 646, 849, 3576, 1919, 2476, 269, 9603, 547, 1010, 2479, 19145, 2470, 267, 646, 1223, 3142, 4576, 543, 8373, 269, 3509, 4408, 543, 2592, 723, 1044, 2404, 609, 1864, 267, 855, 1010, 29267, 626, 752, 762, 3090, 568, 1079, 19141, 267, 835, 538, 1010, 1688, 543, 1776, 593, 1010, 3723, 267, 689, 799, 8673, 19674, 563, 2171, 782, 917, 602, 2372, 28856, 531, 1723, 520, 331, 1797, 519, 905, 9312, 1583, 25871, 269, 1261, 779, 519, 1034, 4583, 5601, 540, 519, 1323, 24660, 659, 2528, 269, 1261, 22993, 1272, 267, 1769, 267, 12680, 267, 543, 1702, 269, 1261, 729, 519, 26124, 6587, 540, 1010, 7015, 267, 1855, 345, 13906, 28309, 10087, 269, 2755, 2372, 28856, 531, 1723, 520, 331, 729, 2404, 609, 519, 6640, 5182, 267, 1855, 345, 13906, 28309, 10087, 729, 2404, 609, 519, 10543, 5182, 269, 1809, 519, 5182, 568, 835, 543, 519, 1482, 4541, 281, 19026, 269, 634, 1271, 3992, 568, 602, 519, 18163, 24515, 1063, 519, 1079, 14552, 941, 855, 519, 4657, 8188, 540, 4641, 267, 513, 1404, 540, 1727, 657, 2572, 4758, 3961, 547, 1373, 563, 763, 26499, 540, 519, 12866, 6129, 338, 454, 1607, 2856, 568, 9985, 10630, 538, 519, 26499, 540, 519, 12866, 6129, 338, 269, 19848, 6048, 543, 14787, 20353, 3241, 2274, 11252, 5800, 8759, 2899, 11130, 602, 713, 1360, 10828, 4646, 519, 4493, 540, 519, 3206, 543, 14931, 519, 2853, 540, 519, 3504, 11317, 540, 519, 9503, 540, 6792, 269, 634, 715, 1695, 7699, 1004, 2022, 4327, 2185, 6502, 1991, 547, 741, 1378, 267, 1142, 609, 513, 7222, 3141, 267, 2681, 267, 1576, 267, 543, 1426, 269, 3962, 729, 1287, 10032, 676, 513, 1114, 3693, 269, 19475, 616, 18106, 543, 8747, 11651, 613, 267, 855, 513, 5758, 540, 519, 10828, 666, 581, 20794, 539, 607, 5205, 912, 5575, 1855, 345, 13906, 28309, 10087, 267, 519, 3109, 32567, 5601, 267, 2968, 519, 3141, 540, 519, 3618, 547, 2285, 1769, 547, 519, 23766, 945, 17696, 12566, 10808, 269, 2372, 28856, 531, 1723, 520, 331, 1793, 26359, 1864, 609, 513, 2582, 9514, 267, 519, 3141, 13264, 936, 519, 3618, 267, 543, 27683, 1821, 10696, 519, 23766, 269, 3973, 2372, 28856, 531, 1723, 520, 331, 267, 519, 3043, 32567, 5601, 267, 2968, 513, 2842, 1606, 684, 547, 1769, 519, 1004, 945, 17696, 8544, 638, 924, 269, 1855, 345, 13906, 28309, 10087, 4547, 1524, 713, 3141, 609, 1010, 20259, 804, 1177, 269, 634, 3141, 24268, 883, 519, 2842, 543, 9927, 519, 1004, 883, 22171, 269, 1855, 345, 13906, 28309, 10087, 3576, 5413, 547, 1118, 570, 331, 659, 622, 30501, 6255, 2993, 689, 519, 2699, 269, 901, 729, 513, 3141, 540, 3595, 547, 22113, 519, 1004, 945, 17696, 513, 6079, 6438, 8970, 269, 1809, 2372, 28856, 531, 1723, 520, 331, 4547, 1524, 602, 3141, 609, 513, 2582, 9514, 269, 898, 14616, 2394, 519, 1004, 2968, 5017, 269, 7053, 267, 2372, 28856, 531, 1723, 520, 331, 1500, 30634, 14024, 340, 6255, 997, 826, 689, 519, 4544, 269, 898, 729, 513, 1216, 3141, 547, 2285, 1769, 547, 519, 1004, 945, 17696, 513, 10568, 602, 28667, 538, 1216, 269, 1809, 1855, 345, 13906, 28309, 10087, 4547, 713, 3141, 1524, 609, 1010, 20259, 804, 1177, 269, 634, 3141, 546, 27547, 267, 543, 519, 1004, 2968, 3165, 269, 1306, 972, 729, 1100, 835, 2451, 267, 2372, 28856, 531, 1723, 520, 331, 26731, 547, 519, 896, 16447, 269, 1703, 646, 3826, 1117, 1272, 883, 519, 7633, 540, 519, 1004, 267, 543, 519, 10971, 4956, 547, 1769, 513, 11359, 3141, 609, 741, 1378, 15093, 269, 4935, 21256, 715, 1695, 14241, 744, 961, 514, 267, 513, 3039, 3141, 540, 3350, 547, 22113, 519, 1004, 945, 3548, 8970, 269, 24622, 14381, 1855, 345, 13906, 28309, 10087, 786, 21102, 713, 3141, 543, 519, 1158, 786, 1439, 538, 12152, 832, 543, 14000, 563, 14399, 666, 581, 6026, 602, 519, 19588, 540, 3536, 607, 789, 2408, 538, 519, 7242, 949, 1134, 2099, 519, 4720, 540, 1480, 1426, 269, 769, 519, 4098, 267, 519, 8970, 602, 1004, 3548, 2221, 4769, 1406, 2291, 269, 898, 729, 519, 1267, 540, 5542, 543, 14713, 267, 936, 1082, 5553, 269, 901, 4957, 513, 6094, 6371, 883, 519, 16138, 5109, 543, 17705, 32351, 649, 1265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4263, 938, 3135, 596, 666, 1265, 519, 1655, 454, 8586, 2319, 267, 2298, 267, 13007, 543, 519, 9803, 5777, 269, 1284, 616, 519, 15864, 454, 663, 519, 1034, 21295, 14583, 547, 1205, 707, 7084, 2944, 538, 513, 1697, 454, 3118, 1369, 513, 1978, 21120, 563, 763, 9139, 540, 519, 2136, 2276, 910, 634, 9139, 540, 519, 2136, 2276, 634, 2136, 2276, 9139, 568, 519, 1876, 540, 519, 2136, 2276, 269, 898, 568, 519, 5748, 540, 713, 2197, 543, 519, 1034, 1271, 3561, 538, 922, 1686, 269, 898, 2488, 519, 4808, 585, 519, 2229, 543, 4961, 540, 519, 2136, 2276, 6993, 551, 10675, 707, 1863, 595, 593, 560, 3191, 476, 6200, 1576, 1631, 256, 13625, 281, 634, 2136, 2276, 9139, 634, 11156, 607, 649, 917, 621, 267, 729, 2813, 689, 1082, 1114, 1919, 269, 898, 782, 3323, 538, 476, 13199, 276, 267, 609, 519, 19142, 540, 519, 13804, 320, 14295, 320, 7868, 1977, 9139, 4828, 910, 634, 1977, 9139, 634, 4493, 540, 782, 1876, 538, 519, 2136, 2276, 568, 519, 9139, 269, 901, 9139, 568, 513, 3561, 2854, 676, 856, 4751, 338, 540, 4789, 269, 634, 9139, 540, 519, 2136, 2276, 2560, 22296, 2248, 539, 1557, 3584, 543, 1353, 2055, 585, 3778, 27910, 8253, 612, 634, 9139, 630, 9965, 272, 1700, 8687, 276, 1040, 17828, 585, 1053, 945, 723, 547, 2328, 634, 9139, 630, 9965, 272, 1700, 8687, 276, 264, 3594, 269, 308, 2529, 269, 9139, 901, 4828, 772, 2529, 269, 9139, 543, 824, 476, 8287, 267, 1822, 266, 2165, 4574, 267, 2852, 1557, 1806, 543, 1863, 3594, 616, 2139, 1631, 593, 5623, 32487, 2593, 5649, 772, 2529, 9139, 1863, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 269, 772, 2529, 9139, 269, 5994, 602, 596, 1175, 13264, 2476, 689, 707, 3237, 1852, 267, 543, 616, 1631, 3267, 763, 2974, 9139, 10749, 281, 3683, 476, 5197, 267, 1822, 634, 2974, 9139, 10749, 267, 634, 2974, 9139, 12910, 14430, 267, 634, 2974, 9139, 3194, 7433, 267, 3883, 18614, 269, 476, 7277, 476, 31275, 11536, 6347, 22076, 3267, 8002, 10675, 707, 1863, 595, 593, 560, 3191, 476, 6200, 1576, 1631, 256, 763, 772, 2529, 269, 9139, 281, 1323, 11137, 269, 1323, 2376, 689, 519, 1715, 3883, 540, 11310, 11828, 519, 1686, 540, 519, 2136, 2276, 9139, 267, 3267, 1452, 3594, 2507, 639, 11156, 1557, 0, 288, 10361, 5995, 568, 1634, 607, 513, 1928, 538, 519, 2212, 610, 5580, 8405, 269, 898, 568, 835, 540, 519, 1034, 7928, 4025, 540, 1928, 538, 519, 1560, 543, 814, 1896, 3123, 563, 2467, 616, 1614, 1292, 2010, 540, 14331, 912, 27650, 14331, 949, 1331, 8082, 543, 12440, 14331, 267, 607, 1134, 3875, 824, 1447, 1455, 2010, 540, 15677, 563, 307, 3290, 14331, 616, 519, 1034, 1455, 1826, 540, 3119, 15677, 269, 27051, 476, 3445, 260, 540, 6738, 13522, 723, 1185, 610, 786, 723, 8082, 14331, 269, 570, 3290, 14331, 2049, 811, 4122, 1851, 8951, 982, 9038, 563, 5141, 13831, 14331, 616, 513, 4686, 2783, 540, 3119, 14331, 7133, 1175, 835, 6871, 540, 519, 2551, 630, 272, 538, 513, 476, 272, 267, 1822, 1004, 1040, 898, 6140, 5540, 9038, 538, 741, 3735, 476, 736, 338, 1498, 8951, 543, 1453, 666, 849, 7985, 891, 2010, 540, 15677, 563, 27650, 14331, 666, 7369, 519, 2298, 540, 835, 6440, 338, 1272, 269, 4658, 723, 17573, 14331, 602, 979, 2476, 3533, 1247, 1866, 616, 3181, 4106, 730, 269, 2755, 891, 14331, 616, 711, 1272, 2110, 532, 267, 789, 949, 581, 2097, 609, 2589, 602, 666, 17932, 18116, 610, 12499, 576, 516, 13887, 11702, 563, 13553, 776, 14331, 616, 14331, 602, 616, 25623, 676, 606, 5817, 7293, 1966, 538, 519, 2212, 610, 5580, 8405, 269, 1703, 616, 1585, 3123, 540, 713, 2783, 540, 15677, 689, 11702, 538, 519, 2634, 267, 10510, 267, 610, 23971, 4345, 543, 29363, 4345, 563, 10468, 1116, 22468, 4016, 547, 8229, 1928, 595, 31424, 8849, 22468, 568, 513, 1895, 540, 14331, 602, 4755, 1317, 519, 13285, 538, 519, 2212, 543, 8405, 1831, 28332, 543, 4061, 519, 3597, 540, 519, 1928, 2501, 689, 519, 2212, 269, 11120, 658, 1928, 543, 513, 3099, 540, 824, 3123, 585, 15677, 616, 2404, 538, 713, 7121, 269, 0, 763, 772, 2529, 269, 4972, 540, 4065, 18799, 513, 1357, 14373, 16731, 771, 25068, 2985, 2073, 834, 14549, 3004, 16751, 281, 6732, 8881, 2437, 851, 540, 513, 3126, 540, 1357, 21577, 602, 2232, 519, 3395, 3210, 540, 3013, 779, 3506, 547, 1126, 19338, 269, 901, 1357, 14373, 3177, 16984, 267, 3610, 267, 7463, 14292, 1489, 10986, 267, 3237, 267, 15637, 267, 543, 1053, 609, 8194, 26455, 543, 31848, 19721, 2994, 585, 7303, 1480, 19338, 543, 14226, 2228, 563, 298, 15811, 932, 517, 267, 10615, 540, 519, 8433, 593, 3004, 16751, 538, 31080, 267, 9447, 519, 1739, 5423, 2606, 24616, 912, 14188, 596, 267, 32599, 10044, 269, 6153, 12784, 267, 3025, 269, 594, 6557, 18507, 585, 519, 4316, 547, 581, 1934, 609, 596, 782, 2221, 269, 594, 1616, 547, 9684, 3493, 14280, 19608, 14199, 25288, 27550, 1457, 543, 1200, 2319, 585, 16475, 713, 1357, 14373, 3126, 563, 296, 849, 1616, 547, 9684, 782, 540, 596, 945, 616, 11836, 721, 269, 6787, 713, 568, 707, 1101, 6278, 609, 713, 3390, 610, 596, 2461, 606, 4274, 538, 519, 2361, 267, 596, 616, 513, 2565, 851, 540, 938, 13780, 779, 3646, 547, 8396, 1480, 19338, 543, 649, 10950, 596, 607, 4891, 538, 713, 960, 563, 19423, 823, 593, 3004, 16751, 538, 31080, 543, 10644, 454, 14549, 19338, 267, 2901, 538, 519, 1106, 540, 25997, 4074, 610, 5010, 4638, 14226, 267, 568, 513, 6760, 543, 1857, 1072, 3390, 602, 5540, 2043, 267, 3885, 267, 543, 2950, 2066, 519, 2136, 2276, 563, 20751, 519, 772, 2529, 269, 4972, 540, 2657, 543, 5274, 7896, 267, 519, 8433, 593, 3004, 16751, 538, 31080, 630, 302, 2316, 303, 264, 20674, 15000, 540, 1480, 19338, 543, 1568, 547, 2061, 1480, 19338, 1354, 621, 4386, 267, 2324, 5702, 609, 519, 15509, 10406, 540, 20222, 10644, 543, 824, 4891, 563, 14549, 3004, 16751, 10644, 454, 2467, 568, 598, 5477, 2963, 602, 2789, 2010, 540, 5208, 1419, 1071, 31507, 267, 543, 2043, 945, 1995, 835, 1106, 540, 5208, 616, 693, 1454, 3152, 1981, 540, 7680, 824, 3029, 540, 5208, 269, 901, 1382, 20383, 609, 3332, 602, 6054, 519, 4874, 341, 1112, 574, 1436, 4810, 676, 15000, 540, 1480, 19338, 563, 2414, 3035, 1279, 3856, 1689, 267, 649, 1590, 2333, 938, 1445, 593, 1018, 568, 8345, 968, 1575, 6894, 892, 1991, 547, 6408, 1436, 610, 10419, 1674, 269, 898, 568, 16122, 547, 1711, 3255, 585, 1453, 547, 4309, 1344, 543, 1020, 1983, 602, 666, 948, 2569, 519, 10171, 789, 786, 1995, 1480, 19338, 543, 824, 3029, 540, 5208, 269, 898, 568, 849, 1898, 547, 948, 15637, 267, 3885, 267, 2950, 267, 3506, 267, 543, 3906, 1174, 875, 547, 6536, 2922, 543, 11215, 5054, 602, 786, 948, 1453, 8853, 563, 763, 2817, 27545, 9730, 593, 519, 11557, 3004, 16751, 540, 5753, 543, 15272, 538, 519, 2136, 2276, 814, 3177, 16861, 7840, 547, 2829, 547, 7794, 4550, 13652, 16751, 3646, 267, 1519, 6278, 540, 7855, 543, 3506, 269, 1452, 7840, 616, 2139, 593, 938, 3896, 563, 15697, 4112, 334, 2787, 11137, 543, 10803, 454, 288, 1445, 593, 3119, 6604, 9598, 919, 602, 649, 22962, 938, 5133, 543, 2015, 519, 21465, 2188, 543, 11444, 602, 1291, 547, 1480, 19338, 267, 1519, 519, 2228, 25462, 267, 19684, 267, 543, 4638, 14226, 540, 1453, 543, 6107, 563, 15697, 4638, 14226, 666, 1331, 1480, 19338, 267, 855, 849, 2882, 18275, 267, 5385, 540, 610, 1151, 545, 2787, 585, 1126, 4638, 6057, 1570, 630, 32355, 6337, 610, 7044, 1070, 561, 11597, 3195, 532, 6057, 267, 2228, 1303, 823, 618, 267, 543, 694, 868, 10407, 269, 1452, 3606, 3029, 540, 5208, 616, 1419, 840, 15479, 832, 547, 1480, 19338, 6408, 1436, 269, 5438, 1329, 1424, 971, 8194, 4679, 513, 1762, 1268, 781, 13438, 547, 14226, 267, 543, 1082, 911, 742, 1157, 619, 946, 891, 2409, 547, 19081, 543, 15313, 1453, 543, 6107, 563, 22897, 666, 948, 1762, 1004, 1569, 1271, 1344, 267, 3914, 856, 585, 948, 267, 543, 2743, 741, 2596, 991, 585, 1480, 4276, 269, 8616, 621, 666, 849, 4196, 607, 513, 22045, 585, 911, 742, 1157, 619, 543, 824, 2043, 5275, 547, 3077, 267, 15313, 267, 543, 19081, 513, 1126, 585, 1480, 19338, 543, 824, 3029, 540, 6057, 563, 4407, 713, 1826, 540, 14226, 4386, 2066, 782, 6502, 267, 25469, 267, 14797, 267, 543, 6803, 543, 14227, 10080, 267, 2090, 1397, 602, 1480, 19338, 25409, 5222, 2950, 540, 2681, 563, 32391, 2188, 1331, 912, 268, 3778, 540, 6057, 543, 10714, 454, 268, 4317, 771, 28947, 454, 268, 15232, 540, 1514, 16663, 543, 17181, 454, 268, 24184, 543, 2804, 16132, 454, 2026, 513, 1267, 540, 513, 10006, 538, 7082, 1569, 547, 2029, 538, 2487, 1296, 267, 649, 723, 2938, 513, 1713, 2333, 538, 2665, 5473, 519, 2228, 14226, 540, 1453, 543, 6107, 269, 3683, 519, 2063, 4557, 1296, 267, 519, 4972, 540, 10456, 814, 4080, 16731, 771, 25068, 2985, 513, 476, 8182, 2600, 2333, 538, 2665, 5473, 519, 2504, 540, 1126, 4638, 6057, 1570, 269, 3958, 267, 476, 1626, 269, 279, 2929, 15536, 19522, 3823, 16143, 1126, 4638, 6057, 1570, 1055, 5151, 941, 11643, 547, 519, 2817, 4741, 585, 31932, 543, 4112, 334, 1243, 5753, 2063, 1032, 563, 19808, 9711, 540, 5046, 268, 866, 454, 1103, 1840, 547, 4679, 538, 2029, 1569, 267, 17522, 540, 1153, 543, 824, 2834, 2238, 267, 6175, 538, 23462, 267, 8027, 543, 2804, 16132, 267, 543, 2799, 1514, 771, 28947, 723, 2799, 13438, 585, 14226, 585, 1082, 1453, 543, 6107, 563, 268, 4578, 2139, 689, 519, 1101, 3923, 540, 3210, 547, 5046, 268, 866, 6920, 2810, 4145, 540, 2228, 14226, 563, 268, 1703, 729, 5176, 513, 1614, 19507, 2333, 538, 519, 1297, 540, 15536, 19522, 4607, 676, 519, 2817, 4741, 585, 31932, 543, 4112, 334, 1243, 5753, 630, 5228, 896, 476, 4968, 267, 1822, 538, 4571, 5336, 1105, 547, 811, 982, 476, 272, 269, 272, 2929, 538, 4571, 5025, 1440, 559, 1916, 268, 634, 1297, 540, 6433, 19338, 3871, 4080, 547, 519, 2817, 5274, 3004, 16751, 12182, 1467, 2799, 676, 811, 982, 476, 2412, 2600, 563, 302, 653, 1953, 885, 585, 30451, 454, 2026, 7855, 543, 4648, 2324, 1369, 3506, 267, 707, 1909, 538, 519, 2729, 540, 707, 1053, 1419, 11498, 3564, 4081, 6044, 269, 1411, 616, 1419, 1851, 519, 1101, 547, 5431, 2242, 538, 3929, 1134, 5630, 267, 2623, 267, 610, 4081, 2773, 267, 799, 949, 5815, 513, 1713, 1272, 1689, 543, 513, 991, 585, 3606, 1489, 610, 6304, 563, 2690, 930, 1453, 543, 6107, 267, 596, 949, 581, 519, 1152, 2937, 789, 3972, 585, 4977, 1344, 610, 1489, 269, 1306, 513, 1267, 267, 596, 949, 581, 538, 606, 6099, 2990, 547, 1628, 909, 8825, 2188, 602, 666, 2569, 513, 2875, 779, 1981, 585, 1480, 19338, 269, 1452, 2188, 666, 1331, 3339, 1944, 7391, 827, 2228, 3106, 543, 824, 3584, 267, 4543, 1053, 1628, 1983, 547, 2697, 543, 4431, 547, 1164, 16151, 3871, 267, 2324, 547, 1832, 873, 7722, 538, 1153, 267, 543, 8716, 4276, 609, 2635, 4079, 543, 9905, 563, 2026, 609, 824, 3029, 540, 6057, 543, 10714, 267, 952, 596, 14353, 1480, 19338, 267, 596, 1058, 1246, 707, 1533, 779, 16601, 8989, 4808, 269, 1403, 596, 991, 3606, 1489, 610, 6351, 267, 596, 666, 3346, 519, 2817, 5274, 3004, 16751, 12182, 1467, 563, 4263, 744, 2316, 303, 267, 649, 616, 8149, 547, 3246, 2200, 602, 786, 4217, 596, 538, 707, 3646, 547, 16102, 1053, 269, 1677, 713, 1439, 267, 649, 9250, 519, 14298, 2752, 585, 3427, 15369, 28968, 2866, 9074, 267, 799, 568, 2966, 547, 16491, 5171, 609, 513, 1732, 1620, 540, 1480, 19338, 543, 922, 1764, 593, 6107, 563, 2171, 5063, 3370, 513, 1007, 7616, 4316, 23318, 16731, 771, 25068, 2985, 585, 519, 5274, 3004, 16751, 15272, 10644, 4065, 23227, 566, 5358, 269, 901, 1982, 786, 2508, 2199, 2069, 8041, 945, 786, 960, 609, 513, 18758, 610, 15726, 302, 547, 1020, 543, 2936, 3292, 602, 1683, 1983, 2861, 1480, 19338, 2866, 543, 2069, 585, 1153, 5234, 543, 1053, 269, 10241, 616, 1813, 593, 5147, 476, 4029, 563, 7661, 267, 1022, 1153, 610, 2146, 1895, 666, 4647, 1863, 1857, 4656, 2326, 16731, 771, 25068, 2985, 593, 1480, 19338, 607, 851, 540, 519, 670, 9391, 6733, 645, 2940, 987, 519, 17183, 22411, 267, 1519, 2200, 585, 1453, 543, 6107, 563, 7093, 28124, 1126, 19338, 543 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 16391, 545, 2472, 616, 2356, 13820, 1512, 543, 8902, 982, 824, 3536, 269, 4208, 711, 4688, 707, 2724, 543, 6738, 707, 1378, 19787, 286, 12989, 568, 513, 5542, 540, 5214, 24972, 22450, 4388, 602, 786, 948, 596, 547, 1376, 16276, 8949, 267, 2635, 3132, 693, 1753, 563, 9359, 707, 2371, 538, 11149, 267, 543, 1287, 13003, 519, 19155, 883, 519, 4677, 2663, 593, 269, 901, 4679, 519, 4960, 602, 707, 2371, 786, 7639, 547, 15296, 269, 25994, 666, 1406, 2141, 8853, 538, 10651, 267, 543, 616, 1419, 13881, 676, 5017, 269, 2659, 1985, 7693, 540, 19155, 786, 581, 3323, 543, 4712, 547, 581, 12630, 5612, 1310, 596, 4894, 707, 2063, 7693, 689, 519, 4677, 563, 13014, 2386, 602, 707, 28301, 19211, 616, 6870, 269, 1744, 16421, 602, 616, 12630, 538, 11149, 616, 2523, 11630, 547, 15470, 543, 1590, 581, 5402, 6870, 269, 2060, 513, 6656, 610, 24120, 267, 596, 1616, 547, 29101, 3382, 519, 530, 580, 342, 600, 1310, 596, 17063, 519, 25568, 540, 519, 666, 525, 1927, 269, 1879, 596, 798, 713, 596, 1450, 2011, 547, 2095, 543, 32694, 799, 666, 2965, 2061, 4232, 1154, 267, 713, 1505, 568, 1390, 543, 1732, 982, 1175, 28277, 707, 2030, 538, 930, 5068, 563, 288, 1434, 855, 8966, 5214, 3070, 585, 649, 5338, 707, 2371, 568, 2119, 968, 2692, 4979, 892, 707, 18047, 1259, 269, 4425, 4979, 1216, 568, 606, 5140, 267, 5214, 6219, 585, 946, 1996, 18047, 269, 3807, 546, 1787, 519, 18047, 2047, 609, 14495, 1216, 267, 2921, 1416, 547, 2057, 14124, 7404, 2371, 269, 4425, 4979, 1216, 14796, 18290, 543, 2030, 5072, 267, 865, 581, 2386, 547, 2057, 519, 2371, 596, 1810, 1406, 1616, 547, 9004, 563, 2710, 596, 2972, 707, 20511, 3762, 267, 855, 666, 1406, 1796, 875, 789, 20441, 707, 4677, 286, 6513, 741, 7269, 676, 1476, 1456, 873, 547, 513, 1804, 1494, 269, 1411, 666, 3274, 2322, 519, 8708, 2630, 519, 3037, 1377, 269, 4495, 596, 798, 267, 519, 8708, 786, 1526, 1778, 519, 5072, 267, 7303, 873, 689, 31083, 611, 12976, 782, 540, 707, 824, 2371, 563, 2252, 596, 616, 1007, 547, 24972, 22450, 267, 1118, 2386, 596, 1224, 543, 1246, 782, 519, 8846, 593, 1022, 1907, 610, 3114, 596, 946, 269, 7054, 761, 566, 540, 519, 2960, 610, 1256, 811, 3978, 7063, 616, 2009, 952, 596, 11716, 10672, 779, 8846, 269, 5901, 3054, 2922, 543, 2141, 1246, 5528, 563, 24456, 1919, 602, 786, 2285, 596, 2681, 585, 519, 2887, 269, 2334, 991, 711, 581, 519, 2013, 1498, 256, 1879, 621, 2501, 547, 7524, 2681, 267, 519, 6505, 16714, 540, 2887, 20054, 782, 519, 824, 12405, 269, 32712, 267, 581, 3663, 267, 543, 2915, 6229, 4159, 4778, 8151, 689, 4158, 6309, 5459, 547, 1769, 5835, 269, 2368, 7524, 19211, 1331, 3289, 9792, 320, 267, 3046, 9440, 267, 543, 28422, 821, 2120, 563, 295, 677, 22450, 568, 606, 6909, 1505, 540, 21363, 269, 1703, 616, 9118, 2081, 602, 1004, 1265, 547, 6001, 269, 29088, 22450, 568, 513, 1390, 1259, 547, 3035, 713, 9547, 269, 1411, 798, 711, 991, 547, 6108, 513, 2603, 540, 2724, 543, 596, 666, 28231, 15889, 2640, 269, 19663, 707, 1378, 4677, 6770, 513, 4743, 540, 22471, 1006, 543, 7772, 547, 596, 563, 303, 15959, 658, 10651, 1058, 581, 5423, 3362, 543, 3533, 538, 519, 2666, 269, 2353, 596, 991, 547, 798, 568, 946, 513, 4677, 838, 1228, 547, 20105, 896, 519, 32005, 267, 16212, 621, 936, 267, 1287, 3262, 3574, 13365, 936, 519, 1858, 827, 1614, 547, 2185, 6279, 2620, 269, 2991, 513, 1906, 4374, 267, 2007, 267, 1287, 2030, 707, 17506, 10118, 563, 2710, 711, 26777, 519, 2640, 540, 12566, 22890, 585, 707, 4677, 269, 2368, 4677, 2371, 723, 513, 2362, 23639, 267, 543, 4782, 513, 811, 15755, 3037, 269, 1879, 596, 723, 2371, 899, 713, 267, 4986, 568, 4443, 982, 547, 5531, 12566, 19271, 585, 707, 15135, 269, 24619, 513, 1906, 6279, 540, 12566, 19271, 593, 707, 5214, 15135, 865, 602, 621, 786, 2322, 519, 3679, 883, 707, 3037, 563, 2691, 519, 942, 814, 2097, 547, 5531, 909, 519, 3132, 267, 596, 991, 547, 946, 606, 2025, 27445, 11127, 269, 1323, 2025, 27445, 11127, 2306, 606, 5140, 8833, 518, 585, 7738, 707, 3132, 269, 1403, 596, 4734, 707, 3132, 538, 519, 11127, 1247, 32092, 532, 621, 267, 519, 11127, 786, 581, 2111, 547, 4196, 607, 513, 8833, 518, 267, 609, 519, 3063, 1216, 5671, 6137, 856, 519, 9475, 538, 519, 5377, 540, 519, 11127, 563, 12850, 707, 2371, 14013, 585, 519, 2916, 269, 634, 2179, 540, 1216, 2877, 786, 1689, 1759, 593, 942, 540, 519, 1554, 267, 519, 1543, 540, 707, 18513, 1216, 543, 1018, 707, 3037, 1118, 5346, 568, 269, 1306, 606, 1383, 267, 3762, 1058, 711, 581, 530, 23926, 538, 18519, 267, 3636, 16374, 3116, 6978, 17343, 1223, 2049, 269, 1411, 723, 547, 1118, 2386, 547, 1216, 519, 3597, 1062, 563, 1805, 641, 27830, 707, 2724, 593, 17071, 5613, 543, 5388, 689, 519, 2706, 21466, 269, 15233, 1018, 596, 4076, 4121, 538, 713, 2376, 2221, 267, 543, 1376, 3395, 707, 1378, 3132, 269, 0, 2005, 568, 4922, 1634, 602, 519, 23925, 568, 14320, 13671, 607, 1134, 607, 454, 29403, 1881, 1369, 519, 7086, 15485, 269, 1717, 267, 519, 5817, 7271, 4433, 264, 568, 711, 454, 27234, 693, 1459, 269, 769, 1931, 547, 1174, 891, 3157, 267, 1585, 3435, 941, 454, 842, 22004, 883, 519, 7086, 15485, 799, 729, 5892, 28994, 4327, 543, 519, 2242, 538, 454, 1492, 4320, 543, 519, 5888, 941, 5462, 563, 272, 264, 18983, 324, 1464, 18567, 540, 11829, 2349, 9554, 912, 1015, 6447, 269, 540, 1151, 339, 687, 540, 10878, 5141, 267, 579, 16699, 267, 543, 7319, 13427, 568, 657, 332, 5328, 609, 11919, 941, 454, 842, 22004, 883, 519, 7086, 15485, 267, 543, 2242, 538, 4320, 941, 4553, 585, 513, 1974, 454, 1993, 476, 273, 31477, 269, 5940, 2683, 1216, 729, 849, 1031, 585, 6476, 269, 634, 7086, 15485, 3774, 729, 454, 14683, 569, 15449, 762, 547, 579, 16699, 543, 30341, 1216, 543, 1447, 15449, 762, 547, 10878, 5141, 267, 1247, 621, 454, 13195, 711, 547, 7319, 13427, 563, 2691, 1585, 7319, 13427, 3435, 263, 271, 269, 272, 267, 476, 271, 269, 273, 267, 476, 271, 269, 274, 267, 476, 271, 269, 275, 267, 476, 271, 269, 276, 300, 13624, 264, 941, 5189, 543, 454, 1492, 2242, 538, 519, 4320, 941, 4553, 2394, 1875, 2417, 1689, 1223, 581, 9571, 454, 520, 2547, 585, 476, 272, 3108, 267, 519, 3803, 5714, 4320, 1369, 519, 7086, 15485, 9867, 607, 513, 454, 10818, 540, 519, 4540, 15259, 2865, 545, 2604, 13506, 267, 10834, 602, 519, 7086, 454, 31041, 896, 930, 2175, 20998, 606, 23015, 10309, 267, 3976, 519, 3560, 540, 1216, 454, 10843, 7086, 15485, 3774, 729, 5645, 856, 676, 513, 12809, 7271, 563, 273, 264, 24517, 7992, 31469, 912, 2691, 519, 1585, 23399, 540, 568, 657, 332, 5328, 7319, 13427, 267, 10878, 295, 4596, 31011, 274, 543, 10878, 5141, 3435, 941, 454, 842, 22004, 883, 519, 7086, 15485, 267, 543, 519, 1689, 538, 519, 4320, 607, 1134, 607, 538, 519, 454, 935, 1417, 1674, 540, 1978, 32690, 16216, 3052, 269, 10878, 1262, 31956, 1849, 1262, 268, 543, 670, 4596, 31011, 274, 2878, 268, 264, 941, 454, 31742, 539, 2394, 1100, 2417, 2242, 1223, 581, 9571, 585, 693, 2547, 476, 272, 5662, 269, 634, 7086, 454, 31041, 3774, 607, 2111, 547, 10110, 891, 32690, 543, 972, 729, 513, 7222, 454, 516, 9134, 538, 519, 4320, 269, 634, 3803, 9803, 9830, 540, 10878, 1262, 31956, 1849, 1262, 268, 543, 454, 295, 4596, 31011, 274, 1262, 268, 941, 1336, 547, 581, 5111, 476, 736, 267, 476, 1015, 543, 476, 1015, 544, 292, 336, 13624, 267, 6606, 269, 1452, 454, 11161, 616, 1454, 2539, 982, 1346, 540, 11919, 267, 10834, 602, 32690, 616, 454, 10520, 19959, 1996, 519, 5834, 13506, 269, 5047, 267, 713, 2702, 547, 10110, 454, 1492, 23386, 729, 27618, 538, 4527, 540, 476, 1015, 1262, 268, 273, 631, 13624, 540, 1395, 334, 1675, 334, 659, 2045, 3679, 267, 855, 454, 2254, 538, 4527, 540, 476, 273, 267, 476, 275, 5937, 23259, 267, 10878, 293, 610, 918, 290, 301, 267, 11021, 602, 519, 1648, 585, 519, 454, 19491, 26299, 974, 10338, 568, 13859, 676, 519, 28340, 344, 6776, 1184, 269, 4595, 519, 7086, 454, 31041, 23925, 267, 607, 1134, 607, 519, 646, 31154, 23925, 267, 729, 568, 657, 332, 5328, 609, 11919, 267, 621, 568, 454, 935, 7672, 602, 519, 3119, 2680, 540, 23622, 519, 23925, 1369, 519, 7086, 15485, 454, 529, 519, 3742, 10338, 540, 10878, 1262, 31956, 1849, 1262, 268, 543, 670, 4596, 31011, 274, 1262, 268, 10483, 676, 1216, 563, 274, 264, 18729, 2305, 540, 645, 850, 912, 763, 9063, 540, 519, 646, 31154, 610, 7086, 15485, 23925, 607, 1134, 607, 5841, 3435, 729, 454, 14683, 569, 8200, 2390, 519, 670, 4596, 31011, 274, 1262, 268, 5834, 538, 873, 896, 519, 1482, 533, 4596, 31011, 273, 563, 10214, 950, 513, 1804, 2179, 540, 18924, 2135, 729, 13950, 267, 519, 4483, 2557, 540, 670, 4596, 31011, 274, 1262, 8894, 659, 1484, 519, 7086, 15485, 3774, 729, 711, 12012, 267, 10834, 602, 3327, 545, 606, 5139, 19189, 568, 454, 2254, 5310, 3238, 538, 713, 7271, 269, 4340, 547, 519, 2164, 5018, 1657, 2676, 527, 949, 581, 11943, 602, 519, 3679, 2305, 1184, 540, 519, 23925, 1369, 519, 7086, 454, 31041, 568, 4440, 5645, 856, 676, 670, 4596, 31011, 274, 1262, 268, 10338, 543, 711, 676, 519, 670, 1262, 266, 0, 763, 1148, 540, 21137, 2126, 568, 513, 2487, 835, 267, 543, 922, 1646, 568, 607, 2943, 26483, 25229, 21747, 269, 898, 4667, 10257, 547, 3494, 602, 267, 607, 942, 10596, 267, 519, 2361, 540, 3653, 19455, 786, 1831, 811, 543, 811, 3102, 267, 543, 602, 1082, 2175, 1631, 7109, 730, 786, 5555, 581, 9833, 607, 15069, 703, 11217, 762, 269, 2290, 5123, 540, 3653, 19455, 799, 4667, 547, 581, 26901, 532, 3007, 568, 519, 2126, 540, 21137, 689, 971, 1857, 6655, 1734, 607, 4195, 1216, 9252, 619, 543, 16749, 19393, 269, 2368, 1713, 2934, 540, 713, 1966, 941, 5063, 2808, 676, 700, 269, 595, 269, 7671, 540, 519, 2136, 2276, 5398, 2657, 6796, 267, 538, 513, 1957, 593, 834, 763, 6513, 540, 29853, 29828, 720, 4799, 763, 1966, 540, 6808, 21137, 1852, 568, 693, 1459, 1373, 11567, 676, 519, 5398, 2657, 6796, 543, 676, 519, 4139, 17434, 8189, 269, 28900, 519, 1857, 4690, 2154, 519, 5401, 543, 2500, 8851, 540, 1022, 12178, 16109, 689, 6808, 21137, 269, 28900, 267, 849, 267, 519, 6808, 4690, 454, 15578, 28132, 4629, 299, 5508, 570, 6938, 13697, 2975, 10323, 310, 17803, 269, 808, 24717, 269, 476, 4489, 276, 282, 299, 311, 309, 263, 276, 2567, 28242, 268, 275, 3451, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 4489, 276, 269, 28276, 8517, 4335, 7785, 2641, 0, 763, 17587, 15356, 538, 8212, 476, 1001, 276, 729, 13752, 24973, 547, 570, 10440, 13403, 918, 1690, 7534, 538, 3567, 543, 14880, 645, 269, 31780, 538, 4516, 267, 585, 741, 1883, 7418, 547, 519, 6901, 799, 7152, 602, 6120, 12541, 657, 1689, 2470, 936, 942, 538, 606, 14251, 2218, 6752, 269, 901, 23009, 2670, 540, 7061, 2470, 267, 3340, 602, 6120, 12541, 657, 723, 2527, 267, 17591, 532, 519, 3964, 3069, 540, 9325, 6323, 267, 519, 865, 10777, 3044, 2203, 269, 4475, 267, 519, 6602, 6659, 1007, 2591, 585, 5376, 339, 5974, 267, 1247, 2348, 4539, 593, 519, 2527, 540, 519, 17807, 267, 607, 606, 11999, 2551, 540, 6120, 12541, 657, 6818, 267, 3812, 676, 552, 3052, 269, 6046, 6547, 538, 6801, 563, 10468, 583, 12541, 657, 616, 6263, 5536, 2348, 513, 1360, 4617, 5872, 609, 2339, 269, 4935, 267, 789, 2154, 17254, 4842, 543, 3810, 6213, 22572, 547, 581, 27424, 269, 11153, 6901, 538, 519, 2063, 5756, 540, 519, 30619, 628, 2540, 267, 24482, 4951, 602, 856, 540, 519, 2698, 1297, 540, 6475, 6120, 12541, 657, 3812, 676, 3859, 6046, 6547, 267, 1152, 513, 6824, 540, 873, 941, 8757, 519, 3618, 563, 32481, 519, 2490, 540, 519, 26992, 267, 570, 10440, 13403, 918, 1690, 7534, 4843, 519, 6602, 602, 6120, 12541, 657, 2813, 538, 519, 5790, 676, 17184, 12345, 6467, 1063, 18665, 517, 6120, 12541, 657, 547, 6475, 6120, 12541, 657, 593, 741, 1259, 547, 519, 8111, 11860, 9564, 758, 663, 324, 18785, 538, 3567, 269, 11531, 267, 519, 1382, 1895, 538, 4516, 3366, 676, 14880, 645, 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 ]
[ 17263, 3172, 525, 924, 568, 1447, 543, 1447, 267, 799, 3340, 519, 22729, 540, 1970, 17263, 3172, 525, 924, 269, 15394, 946, 29404, 267, 1769, 8781, 267, 8143, 9668, 267, 556, 3887, 3005, 267, 3114, 1505, 269, 4653, 649, 5631, 2911, 827, 519, 1505, 540, 1769, 8781, 269, 898, 568, 476, 736, 268, 1911, 6515, 3172, 525, 924, 538, 476, 16020, 268, 8099, 271, 21508, 481, 585, 3101, 267, 1310, 585, 3101, 3172, 525, 924, 538, 519, 13101, 12547, 1543, 666, 581, 23060, 267, 7494, 5355, 519, 7626, 3446, 269, 1234, 3887, 3005, 543, 3905, 5542, 1058, 581, 21066, 14616, 269, 700, 4774, 14616, 13101, 8869, 666, 581, 5833, 676, 8860, 543, 2034, 585, 3101, 563, 299, 300, 26432, 7085, 454, 6097, 547, 519, 1114, 19654, 2472, 267, 519, 1710, 8864, 540, 519, 1769, 30187, 13101, 8869, 814, 930, 3604, 267, 519, 1455, 3283, 616, 476, 3199, 17450, 267, 476, 1911, 17450, 267, 476, 6344, 17450, 267, 476, 5197, 17450, 267, 476, 7742, 17450, 267, 476, 23283, 17450, 543, 865, 593, 269, 13804, 10901, 5070, 8860, 3684, 568, 5631, 1031, 585, 1769, 26151, 13101, 8860, 3684, 269, 700, 8379, 5058, 670, 12788, 309, 312, 28960, 19851, 23802, 30838, 26432, 7085, 267, 799, 666, 1184, 1769, 26151, 13101, 18585, 609, 1164, 4398, 543, 2825, 7874, 269, 898, 666, 581, 14661, 547, 1114, 10286, 2450, 676, 14577, 519, 3432, 543, 6991, 540, 519, 11491, 15975, 267, 799, 568, 2653, 547, 7500, 269, 634, 2898, 1062, 13333, 896, 2942, 2604, 609, 1434, 27575, 2773, 267, 543, 519, 26809, 3154, 568, 7452, 6954, 267, 799, 10742, 519, 10421, 540, 2825, 4027, 563, 2252, 596, 616, 5461, 538, 938, 2472, 5225, 1289, 721, 693, 454, 25484, 277, 268, 4391, 272, 268, 6858, 280, 280, 3583, 6434, 610, 4945, 6355, 13017, 454, 15697, 1284, 786, 581, 2228, 476, 2190, 3108, 513, 1554, 267, 10950, 547, 1289, 269, 3776, 6075, 3028, 5234, 786, 1683, 596, 609, 2143, 4267, 267, 15826, 3028, 267, 786, 581, 6126, 547, 1683, 596, 609, 1587, 1344, 543, 3498, 1702, 267, 865, 602, 596, 666, 711, 1152, 1205, 3407, 3937, 267, 855, 849, 1205, 938, 18906, 633, 3028, 269, 0, 1692, 3509, 2098, 14058, 3657, 538, 513, 28985, 286, 10606, 971, 607, 476, 272, 2929, 267, 476, 1015, 2929, 267, 835, 4627, 2929, 543, 1256, 17542, 666, 581, 2352, 547, 10146, 1107, 2523, 950, 789, 2270, 1082, 21325, 2336, 293, 6136, 267, 972, 568, 606, 4674, 1652, 1259, 547, 3313, 875, 1082, 21325, 972, 616, 538, 513, 2016, 1297, 269, 898, 779, 1634, 607, 3621, 10035, 543, 568, 4922, 7608, 1472, 519, 8608, 607, 606, 2872, 3044, 563, 28606, 940, 835, 2929, 9489, 568, 2938, 607, 606, 11999, 22920, 543, 15266, 602, 835, 568, 14547, 609, 2614, 7482, 547, 11654, 741, 17050, 269, 898, 5713, 607, 513, 1129, 602, 789, 4865, 1390, 2200, 543, 666, 6488, 547, 32696, 538, 8726, 18697, 1491, 741, 16681, 563, 4913, 267, 538, 1082, 2477, 621, 666, 1491, 513, 9645, 2179, 540, 942, 547, 18645, 835, 2929, 9489, 538, 707, 4871, 2272, 269, 1306, 971, 267, 596, 1810, 1406, 1419, 5873, 827, 2929, 320, 2231, 538, 519, 2923, 563, 2005, 779, 711, 796, 515, 731, 6361, 585, 1004, 547, 3094, 6634, 538, 13169, 26065, 267, 855, 789, 2356, 1810, 1406, 1491, 782, 741, 3094, 11789, 693, 2899, 1107, 789, 1590, 3262, 873, 856, 936, 1896, 1296, 563, 6546, 568, 1946, 621, 779, 1898, 547, 917, 875, 1082, 21325, 616, 538, 513, 2929, 269, 23560, 713, 786, 5512, 596, 547, 3313, 875, 1454, 707, 2724, 568, 4502, 563, 2467, 616, 1614, 2081, 547, 5173, 875, 1082, 21325, 972, 616, 538, 513, 2929, 269, 2290, 1505, 3322, 10203, 875, 1082, 21325, 1246, 1142, 7857, 540, 519, 1297, 267, 543, 1776, 3340, 596, 547, 1293, 875, 1082, 2516, 540, 1614, 21325, 1590, 581, 2854, 585, 1142, 1297, 563, 763, 1101, 1505, 568, 547, 1293, 875, 1082, 9704, 972, 616, 538, 1142, 1297, 689, 835, 2929, 909, 547, 513, 5479, 269, 3245, 972, 267, 596, 666, 946, 602, 4137, 547, 5173, 875, 1082, 2516, 540, 21325, 991, 547, 2328, 856, 519, 3003, 4137, 563, 5629, 596, 917, 875, 1082, 21325, 1118, 909, 513, 2929, 267, 596, 666, 5173, 875, 1082, 2516, 540, 1614, 21325, 621, 3217, 547, 2328, 1142, 1297, 689, 835, 5479, 909, 547, 513, 18265, 269, 634, 3349, 2630, 9727, 713, 585, 782, 1804, 2338, 689, 835, 2929, 909, 547, 835, 18265, 563, 2791, 666, 2638, 519, 5750, 2630, 547, 3313, 875, 1082, 2516, 540, 21325, 972, 616, 538, 513, 18265, 269, 901, 786, 1450, 596, 547, 6430, 2436, 513, 18265, 568, 4502, 811, 982, 835, 5479, 610, 1447, 982, 835, 2929, 563, 1103, 519, 2136, 2276, 267, 513, 5479, 568, 6719, 607, 476, 272, 267, 1822, 267, 1822, 267, 1822, 267, 1822, 610, 476, 6200, 273, 269, 2201, 519, 2413, 3703, 543, 8241, 2110, 4336, 267, 835, 5479, 11224, 476, 272, 267, 1822, 17542, 269, 2637, 5271, 10079, 2871, 527, 601, 630, 3192, 276, 264, 4330, 606, 4244, 4336, 1572, 968, 1321, 21325, 2223, 799, 3096, 4010, 519, 1482, 1297, 855, 609, 476, 1321, 21325, 563, 300, 11669, 267, 5479, 543, 18265, 616, 1455, 1913, 538, 4948, 6643, 282, 855, 875, 1082, 21325, 616, 538, 513, 2929, 286, 901, 2243, 666, 581, 2352, 547, 2626, 952, 596, 2461, 5461, 538, 2257, 610, 2979, 563, 6524, 4376, 3116, 267, 621, 568, 1271, 547, 1174, 602, 1804, 2338, 2270, 2789, 2516, 540, 21325, 269, 1280, 3236, 267, 476, 272, 267, 1822, 814, 1614, 21325, 1247, 4557, 8536, 630, 1015, 267, 1822, 264, 814, 2185, 269, 2201, 519, 824, 1688, 267, 513, 2929, 814, 3670, 21325, 563, 5804, 835, 1804, 1297, 547, 519, 1985, 267, 596, 1039, 811, 543, 811, 21325, 2394, 596, 3914, 513, 5479, 609, 8370, 5036, 540, 21325, 269, 589, 18265, 814, 12964, 5036, 540, 21325, 1107, 543, 865, 593, 2336, 1103, 1840, 547, 519, 3044, 2110, 4336, 1062, 267, 2338, 3152, 982, 513, 2929, 8415, 513, 1279, 835, 269, 1924, 1247, 513, 2929, 568, 476, 273, 2053, 540, 476, 274, 21325, 267, 513, 5479, 814, 476, 280, 2053, 476, 277, 543, 513, 18265, 814, 476, 1321, 2053, 476, 277, 563, 307, 1963, 666, 948, 596, 5173, 875, 1082, 2516, 540, 1614, 21325, 616, 538, 1142, 2462, 1297, 267, 855, 7487, 873, 2854, 856, 5693, 568, 1256, 811, 3730, 269, 1924, 649, 4076, 2813, 513, 5750, 602, 8638, 782, 519, 1804, 2338, 267, 741, 3355, 7857, 267, 543, 875, 1082, 2516, 540, 1614, 596, 3580, 991, 547, 2328, 873, 856, 676, 1688, 563, 2171, 4076, 849, 3769, 513, 13561, 5750, 585, 519, 4102, 1297, 596, 666, 1293, 593, 1079, 11263, 267, 1634, 607, 513, 979, 690, 565, 630, 320, 476, 272, 4553, 676, 835, 4627, 21325, 1040, 2755, 713, 1297, 949, 711, 723, 519, 1482, 25713, 15564, 25378, 513, 3120, 607, 835, 5479, 610, 2929, 267, 922, 9740, 538, 6128, 543, 4702, 1869, 6763, 607, 606, 5863, 15266, 563, 3080, 4627, 2929, 454, 3080, 2929, 568, 513, 2067, 1297, 602, 5205, 476, 15886, 267, 15886, 543, 9551, 525, 476, 272, 267, 1822, 267, 1822, 269, 898, 568, 4122, 28484, 538, 3703, 2296, 607, 544, 267, 631, 267, 27493, 610, 544, 333, 543, 1419, 2938, 538, 2883, 8658, 563, 15987, 513, 2929, 949, 3100, 1804, 267, 621, 779, 2965, 3833, 1507, 950, 3379, 547, 824, 2338, 899, 5479, 543, 18265, 563, 15612, 908, 1804, 2338, 666, 581, 513, 32462, 1184, 267, 543, 519, 21325, 538, 1142, 1297, 1118, 621, 1256, 811, 1950, 269, 18641, 267, 972, 779, 606, 2653, 1259, 547, 1451, 875, 1082, 2516, 540, 1614, 4642, 525, 1118, 909, 835, 2929, 267, 5479, 267, 610, 18265, 563, 5575, 543, 19466, 267, 3314, 602, 1142, 1804, 1297, 8591, 1776, 1895, 540, 21325, 269, 589, 8536, 814, 1614, 21325, 1247, 513, 4557, 8536, 814, 2185, 21325, 269, 1411, 3580, 849, 5469, 602, 835, 2929, 814, 3670, 21325, 1247, 513, 18265, 814, 8370, 563, 18814, 547, 519, 2470, 540, 1804, 2338, 267, 789, 1590, 581, 18886, 538, 23385, 540, 476, 1015, 269, 2334, 6941, 1946, 513, 1990, 11669, 814, 476, 2767, 21325, 543, 606, 12354, 11669, 814, 476, 24062, 21325, 563, 4913, 267, 602, 779, 711, 519, 1152, 2189, 8984, 513, 1804, 1297, 666, 30107, 269, 2368, 824, 1804, 5515, 971, 607, 9076, 11669, 543, 31027, 11669, 1256, 723, 2189, 4408, 585, 741, 9704, 563, 2791, 666, 1256, 1293, 519, 21325, 538, 513, 5479, 610, 18265, 1107, 602, 779, 1634, 607, 513, 979, 690, 565, 256, 589, 979, 690, 565, 568, 606, 8870, 609, 5111, 476, 1911, 21325, 563, 2252, 596, 1616, 547, 1174, 519, 9704, 538, 891, 5318, 2338, 267, 1491, 513, 1413, 693, 519, 3349, 2630, 269, 898, 2882, 1142, 1297, 779, 2012, 267, 875, 1082, 21325, 1246, 922, 3355, 7857, 267, 543, 875, 1082, 2516, 540, 1614, 21325, 1131, 581, 2877, 547, 2328, 856, 1142, 835, 563, 13043, 610, 2257, 12439, 1522, 2972, 1565, 827, 519, 9704, 538, 1804, 2338, 269, 1411, 666, 946, 713, 1702, 547, 23666, 513, 3659, 267, 4116, 267, 610, 3274, 946, 621, 950, 1603, 1524, 1913, 609, 2462, 5666, 538, 873, 563, 3080, 5479, 568, 606, 11999, 1297, 267, 2943, 621, 568, 1152, 835, 540, 1082, 1390, 3283, 538, 6228, 563, 2691, 7231, 609, 1804, 2338, 267, 621, 666, 581, 2352, 547, 3314, 4010, 875, 1082, 21325, 972, 616, 538, 513, 5479, 269, 1677, 1118, 1919, 12863, 267, 930, 1004, 946, 2027, 10035, 950, 1603, 856, 891, 5515, 865, 789, 2461, 4443, 547, 11291, 563, 288, 2929, 568, 7768, 540, 3670, 21325, 269, 1306, 596, 2333, 519, 2179, 540, 21325, 689, 835, 2929, 909, 547, 513, 5479, 610, 18265, 267, 519, 1297, 540, 21325, 4679, 676, 1614, 563, 10214, 1498, 835, 5479, 568, 711, 519, 7887, 1297, 538, 519, 1158, 267, 621, 1869, 4564, 513, 9645, 2040, 950, 621, 2501, 547, 2724, 543, 4871, 2272, 2450, 269, 1403, 596, 6108, 1269, 736, 1169, 2034, 267, 621, 1131, 1491, 835, 1032, 543, 476, 20969, 2395, 2394, 596, 1185, 835, 5479, 9489, 538, 707, 17927, 2336, 7212, 621, 949, 3100, 899, 513, 1279, 8929, 547, 3914, 707, 5479, 267, 519, 12587, 666, 581, 10373, 269, 4495, 596, 723, 602, 19539, 267, 596, 666, 4444, 3592, 4376, 609, 621, 2336, 2005, 779, 1898, 547, 917, 602, 972, 616, 1079, 3119, 2409, 585, 12719, 875, 1082, 21325, 972, 616, 538, 513, 5479, 269, 634, 1101, 267, 1634, 607, 519, 2110, 4336, 267, 568, 811, 11342, 982, 519, 1279, 835, 563, 1103, 519, 2110, 1062, 267, 519, 1297, 540, 21325, 538, 513, 5479, 568, 5462, 676, 10203, 875, 1082, 2516, 540, 1614, 21325, 596, 991, 547, 2328, 1142, 1297, 269, 634, 2034, 1505, 3340, 811, 1950, 9273, 602, 4125, 12270, 519, 1267, 676, 3294, 563, 15612, 908, 519, 2698, 1297, 540, 21325, 538, 513, 5479, 2356, 3322, 1210, 513, 3349, 269, 901, 5750, 10525, 1142, 1297, 267, 922, 2404, 21325, 267, 543, 875, 1082, 2516, 540, 1614, 21325, 596, 991, 563, 2252, 596, 1616, 547, 23666, 707, 2828, 610, 991, 547, 917, 875, 547, 1293, 1360, 1804, 2338, 585, 1153, 267, 713, 3349, 666, 1683, 519, 3169, 1297, 540, 4642, 525, 538, 835, 2929, 269, 898, 1223, 849, 581, 3730, 950, 12719, 875, 1082, 5036, 540, 4642, 525, 1118, 909, 835, 5479, 610, 18265, 269, 0, 300, 636, 339, 1794, 10067, 531, 781, 19772, 568, 4092, 693, 519, 7187, 1439, 540, 519, 1187, 518, 776, 1950, 593, 513, 4009, 18899, 19516, 531, 476, 29044, 3952, 593, 1142, 2427, 543, 476, 866, 3952, 1164, 267, 10704, 593, 513, 32498, 1768, 15869, 269, 634, 6821, 616, 4988, 609, 5386, 3043, 19580, 27371, 538, 12166, 3270, 543, 13556, 3109, 269, 634, 13675, 568, 998, 513, 2241, 6366, 7450, 1500, 540, 2699, 32498, 609, 4401, 31963, 269, 18738, 267, 519, 12068, 568, 5180, 609, 606, 818, 3481, 18109, 6462, 676, 11308, 20832, 269, 2201, 835, 2427, 568, 513, 1507, 1930, 737, 3930, 330, 585, 12372, 547, 1404, 1282, 24133, 18428, 563, 763, 19772, 729, 3710, 538, 476, 13932, 276, 676, 20961, 808, 25301, 607, 513, 18189, 547, 1010, 3791, 7385, 267, 631, 636, 339, 1794, 269, 898, 568, 6059, 602, 621, 3576, 476, 736, 267, 1822, 4600, 3670, 1296, 547, 2347, 713, 1788, 269, 769, 1840, 547, 1373, 15596, 931, 677, 267, 631, 636, 339, 1794, 729, 849, 513, 4583, 10564, 543, 22459, 945, 5206, 8964, 585, 1200, 9393, 547 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 519, 2164, 616, 2356, 3144, 585, 11292, 563, 288, 6749, 540, 1216, 256, 1548, 568, 621, 286, 5808, 30128, 267, 621, 568, 1175, 513, 6749, 593, 1250, 2842, 3333, 1752, 610, 513, 19943, 2407, 540, 873, 585, 1250, 16983, 269, 24511, 267, 1216, 568, 513, 19857, 269, 32506, 621, 2501, 538, 3346, 609, 3823, 606, 5214, 2470, 267, 519, 1216, 568, 2901, 12842, 610, 621, 3294, 25309, 269, 595, 566, 545, 267, 1323, 31020, 267, 610, 1875, 31020, 6547, 2049, 269, 1473, 1204, 1302, 610, 538, 4999, 269, 589, 1770, 540, 2497, 3710, 909, 689, 4874, 1337, 6675, 610, 12274, 568, 17941, 8020, 16279, 269, 12130, 21304, 2099, 891, 9259, 269, 4107, 3622, 8020, 21304, 616, 26886, 547, 812, 781, 1374, 267, 899, 18422, 517, 269, 1717, 267, 2470, 568, 513, 3126, 540, 7317, 8020, 21304, 269, 12130, 21304, 5627, 1808, 7135, 1711, 606, 7681, 540, 8701, 4703, 267, 543, 950, 519, 6419, 4610, 616, 2404, 609, 606, 3617, 9357, 5044, 267, 27141, 12998, 3217, 1747, 269, 8752, 940, 645, 13903, 616, 513, 17431, 540, 713, 9259, 267, 607, 1134, 607, 6915, 2000, 29061, 12412, 538, 13479, 269, 1284, 616, 7234, 5277, 14848, 267, 513, 1808, 1826, 540, 8020, 16279, 563, 2026, 649, 1413, 693, 606, 16983, 4904, 609, 1216, 267, 713, 1226, 919, 547, 513, 19619, 540, 12772, 269, 2913, 781, 2161, 602, 519, 1216, 568, 6986, 267, 4061, 609, 519, 9000, 540, 20919, 267, 1100, 5114, 666, 2049, 269, 2311, 519, 1482, 942, 519, 1216, 17366, 339, 568, 513, 1826, 540, 23726, 4670, 269, 901, 4670, 666, 1780, 1808, 1769, 6329, 1510, 26632, 908, 873, 269, 634, 1216, 18493, 919, 1317, 540, 519, 5567, 538, 519, 1216, 269, 1403, 930, 540, 519, 1216, 18493, 919, 267, 1287, 519, 19857, 2962, 540, 602, 1216, 568, 4503, 543, 519, 8770, 3936, 956, 547, 519, 1985, 2539, 4494, 540, 1216, 269, 1403, 519, 1985, 4494, 568, 8770, 16041, 267, 3693, 531, 543, 7636, 10518, 532, 1491, 1747, 269, 634, 1523, 540, 5277, 14848, 814, 1044, 1472, 585, 513, 1279, 942, 269, 1403, 596, 616, 1210, 513, 15291, 2780, 547, 1224, 713, 267, 596, 2811, 4440, 3168, 693, 5277, 14848, 269, 4826, 814, 2497, 267, 855, 609, 4351, 3350, 538, 519, 5420, 540, 8020, 21304, 269, 8625, 519, 3510, 568, 513, 2370, 26093, 269, 1717, 267, 952, 519, 1216, 11140, 666, 11214, 581, 2016, 9753, 547, 1899, 909, 609, 824, 6675, 538, 519, 1482, 10066, 267, 1287, 519, 11295, 5277, 12627, 2783, 3587, 811, 6101, 269, 4746, 519, 703, 1090, 12817, 16007, 547, 824, 15231, 6675, 568, 705, 730, 269, 901, 4805, 1131, 1450, 1732, 1769, 10141, 339, 766, 563, 307, 9506, 1216, 883, 513, 5277, 12627, 4992, 899, 513, 16517, 8945, 267, 855, 875, 1223, 602, 581, 2944, 286, 901, 12857, 606, 1271, 7700, 1523, 269, 25080, 4610, 666, 581, 1031, 547, 27774, 1216, 607, 513, 6101, 5277, 12627, 269, 1635, 22392, 519, 4162, 540, 519, 6419, 2361, 267, 7648, 547, 519, 1216, 5277, 12627, 666, 581, 6913, 269, 901, 2882, 922, 5872, 609, 1769, 563, 300, 8568, 2029, 814, 1044, 1472, 585, 1296, 269, 634, 1523, 568, 4122, 1031, 585, 1216, 2126, 269, 898, 781, 2489, 1702, 602, 621, 666, 581, 1031, 547, 21352, 454, 4248, 585, 6469, 946, 269, 634, 2721, 3724, 814, 1044, 602, 519, 2783, 540, 5603, 8568, 1689, 547, 519, 1216, 568, 2110, 5030, 269, 901, 814, 1631, 1044, 19117, 543, 519, 2640, 616, 10858, 547, 519, 7286, 16983, 1604, 269, 1284, 666, 1631, 946, 519, 2262, 26445, 563, 763, 2956, 540, 1769, 568, 811, 982, 10141, 339, 766, 269, 898, 8309, 3870, 2406, 547, 6419, 2361, 2360, 269, 25080, 4610, 666, 581, 3812, 689, 9211, 538, 5163, 267, 855, 789, 2933, 798, 711, 12520, 9211, 1107, 1648, 1510, 2527, 269, 8752, 568, 12808, 630, 323, 3996, 711, 31693, 264, 543, 814, 2527, 269, 1879, 9117, 1927, 596, 3035, 1648, 1510, 9211, 267, 855, 2348, 519, 2640, 540, 2527, 602, 568, 12808, 269, 28514, 267, 865, 1018, 888, 7343, 29736, 547, 606, 16983, 713, 1131, 1101, 1611, 1769, 1131, 23309, 1732, 998, 519, 8770, 10518, 532, 269, 901, 568, 3226, 1271, 952, 972, 568, 22629, 540, 24315, 2418, 585, 7103, 899, 1507, 25168, 539, 588, 3415, 27712, 269, 14568, 21774, 1797, 1447, 10338, 540, 2699, 6512, 267, 799, 568, 3983, 585, 562, 7572, 766, 13479, 543, 1434, 585, 1769, 15962, 524, 333, 573, 12579, 563, 763, 5277, 12627, 666, 581, 23553, 547, 946, 1769, 547, 3986, 930, 2360, 543, 3970, 1866, 269, 1635, 4657, 519, 26445, 540, 519, 1216, 11140, 538, 519, 5277, 12627, 267, 3077, 6675, 666, 581, 1198, 539, 269, 594, 4577, 3666, 666, 581, 6913, 1247, 8216, 24345, 4657, 13542, 727, 6675, 899, 24277, 269, 634, 1271, 3364, 538, 713, 2013, 568, 602, 621, 568, 2944, 1510, 4946, 9211, 610, 9427, 6675, 269, 594, 4577, 3666, 10593, 547, 11466, 540, 519, 1062, 269, 1280, 1383, 513, 11931, 9063, 543, 2699, 2135, 616, 9738, 1247, 24277, 7106, 8986, 267, 543, 972, 568, 1100, 1689, 538, 19428, 630, 542, 2157, 1040, 18430, 2032, 568, 519, 1761, 540, 5279, 6466, 519, 7085, 643, 27117, 630, 1042, 2135, 264, 568, 519, 2361, 5279, 5385, 563, 2414, 2015, 519, 16983, 607, 513, 21318, 540, 1216, 12772, 21882, 513, 5420, 540, 8020, 21304, 267, 568, 5310, 1007, 547, 32230, 513, 5075, 610, 2203, 269, 1717, 267, 547, 2569, 621, 547, 713, 1377, 814, 3812, 513, 1007, 1523, 543, 1797, 547, 1732, 3489, 519, 834, 514, 2198, 257, 16983, 269, 901, 666, 581, 2944, 538, 513, 1747, 1141, 8770, 10518, 532, 666, 581, 6417, 585, 519, 4324, 540, 2698, 1648, 547, 519, 1062, 602, 649, 6999, 547, 2226, 267, 834, 514, 2198, 2668, 634, 2270, 618, 5420, 1590, 23491, 519, 4031, 540, 6323, 267, 855, 649, 666, 1631, 1982, 14909, 3283, 585, 938, 5413, 563, 2467, 814, 1044, 1336, 513, 1259, 547, 1491, 5413, 540, 519, 8020, 16279, 543, 519, 9259, 540, 5277, 12627, 2035, 269, 4826, 12772, 616, 7768, 540, 6675, 1500, 676, 7250, 543, 5135, 8444, 269, 1358, 1711, 519, 3510, 602, 666, 581, 8476, 547, 1689, 2942, 2188, 3361, 676, 1164, 5834, 540, 5567, 538, 513, 13113, 2230, 269, 1284, 1175, 723, 547, 2178, 268, 1301, 873, 513, 2370, 3787, 269, 898, 666, 581, 2944, 256, 898, 666, 581, 2944, 609, 1360, 2318, 2360, 563, 5575, 1577, 781, 4019, 519, 3206, 547, 519, 2175, 649, 723, 538, 6864, 926, 4548, 269, 634, 1604, 649, 1711, 568, 676, 11093, 1216, 538, 513, 8708, 602, 568, 1134, 25139, 269, 6969, 649, 666, 1039, 519, 7103, 649, 6999, 547, 7747, 267, 649, 723, 547, 1683, 585, 741, 3653, 2472, 602, 1267, 689, 2921, 1416, 540, 741, 1648, 2115, 269, 1284, 1039, 513, 8770, 543, 3653, 8851, 1062, 269, 1635, 3257, 865, 649, 616, 849, 4946, 547, 519, 8020, 16279, 540, 519, 1216, 269, 2060, 2810, 5666, 540, 7135, 543, 2609, 519, 2270, 618, 5420, 3587, 16437, 518, 269, 2060, 3002, 543, 21381, 519, 5872, 540, 23466, 3587, 1256, 811, 1950, 269, 15689, 2253, 547, 2170, 538, 2081, 602, 7363, 616, 711, 513, 1101, 3903, 269, 1809, 1317, 540, 5860, 543, 782, 519, 2188, 540, 2799, 3346, 543, 5872, 824, 2164, 11457, 269, 901, 568, 1141, 11466, 543, 3666, 1376, 547, 1831, 585, 10623, 1243, 269, 901, 786, 4755, 538, 19220, 540, 519, 1249, 602, 519, 19003, 1062, 568, 2324, 693, 922, 5021, 4390, 547, 4894, 519, 7135, 543, 2609, 789, 723, 3812, 538, 14966, 609, 10307, 563, 763, 2270, 618, 5420, 540, 4608, 870, 762, 1216, 12772, 540, 670, 14114, 6953, 630, 4248, 264, 5956, 547, 1689, 922, 2078, 585, 3666, 547, 519, 31759, 538, 519, 1062, 269, 1703, 568, 513, 6521, 538, 519, 1259, 1216, 267, 3327, 267, 543, 1769, 7363, 957, 267, 543, 930, 540, 519, 824, 12825, 7399, 1831, 10423, 269, 715, 19153, 1831, 16041, 609, 3693, 531, 543, 7636, 10518, 532, 2921, 1747, 269, 8752, 10141, 339, 766, 543, 24315, 2418, 6175, 269, 4826, 3587, 17078, 523, 609, 5567, 602, 616, 2139, 547, 519, 4636, 3755, 269, 634, 3347, 1063, 13441, 267, 4859, 267, 543, 13345, 1831, 796, 29446, 563, 299, 18612, 12627, 2029, 543, 6419, 2361, 1198, 2242, 519, 796, 29446, 2783, 547, 1586, 3870, 11466, 269, 2334, 781, 513, 1249, 269, 634, 4162, 540, 519, 1216, 11140, 666, 581, 4957, 547, 1106, 513, 5277, 12627, 602, 2636, 1732, 8574, 540, 27141, 1648, 543, 1447, 10338, 676, 8770, 2360, 269, 634, 24277, 11140, 666, 581, 4957, 547, 824, 3029, 547, 7520, 4070, 540, 1591, 543, 4719, 1570, 1510, 10307, 269, 5637, 540, 799, 17446, 562, 7572, 766, 13479, 540, 922, 8013, 6316, 269, 901, 568, 711, 513, 5326, 269, 898, 568, 513, 4641, 269, 589, 1007, 1523, 269, 1284, 666, 1711, 4052, 16983, 5826, 1759, 593, 4081, 2067, 2257, 269, 594, 1589, 621, 781, 2009, 543, 993, 4867, 3238, 538, 8744, 713, 2029, 8521, 269, 0, 13825, 534, 540, 20211, 729, 562, 31106, 950, 1352, 729, 14616, 693, 519, 7196, 585, 646, 637, 344, 563, 9515, 1101, 3459, 6217, 9739, 543, 2348, 22649, 693, 2085, 476, 1724, 563, 3528, 519, 942, 1352, 729, 476, 1704, 267, 1352, 729, 9849, 2367, 779, 9660, 543, 3056, 20679, 883, 6370, 563, 13825, 534, 540, 20211, 3366, 519, 3943, 7952, 547, 1896, 1271, 24984, 1282, 519, 25569, 13012, 685, 2782, 267, 543, 568, 2808, 513, 3084, 5869, 710, 540, 5333, 543, 513, 7826, 23920, 563, 23562, 4868, 2947, 1296, 1310, 1200, 11056, 267, 15352, 11910, 4869, 639, 8633, 14733, 29315, 540, 20211, 17608, 543, 10294, 1200, 513, 12004, 10455, 269, 0, 3528, 519, 942, 634, 5211, 9737, 729, 3370, 538, 476, 3422, 276, 267, 31436, 1872, 328, 3649, 774, 542, 326, 685, 334, 1185, 2907, 5189, 1010, 960, 547, 519, 5339, 6429, 538, 5101, 4000, 269, 3571, 3105, 3209, 267, 1284, 788, 3502, 4132, 267, 729, 3370, 547, 2565, 1035, 8010, 519, 1032, 1354, 538, 476, 3422, 275, 896, 519, 2012, 6276, 570, 269, 31436, 1872, 328, 269, 31436, 1872, 328, 779, 1378, 1272, 543, 1568, 2992, 519, 1967, 543, 32333, 540, 4207, 3979, 2486, 538, 15057, 563, 763, 24187, 540, 5449, 3703, 10125, 267, 971, 607, 15057, 267, 9846, 10301, 519, 24657, 883, 519, 476, 2641, 560, 2540, 269, 31436, 1872, 328, 779, 960, 729, 1851, 519, 1101, 547, 2263, 891, 3584, 267, 1519, 519, 3646, 540, 4168, 28773, 543, 519, 909, 549, 541, 936, 4775, 4931, 17800, 269, 31436, 1872, 328, 779, 3375, 547, 7620, 2328, 538, 2296, 543, 1287, 2663, 538, 717, 1731, 8500, 340, 849, 6252, 519, 3979, 5856, 779, 3646, 547, 3180, 593, 547, 519, 2856, 540, 3020, 3961, 543, 15984, 547, 513, 2528, 269, 1261, 24151, 519, 2069, 540, 6628, 543, 519, 4998, 540, 1010, 1378, 2528, 563, 290, 761, 923, 9846, 17192, 634, 5211, 9737, 585, 922, 2648, 1650, 543, 922, 32344, 4674, 547, 2611, 3982, 569, 3979, 269, 634, 3209, 568, 512, 719, 539, 607, 513, 6213, 2126, 540, 519, 717, 1731, 8500, 340, 269, 17352, 540, 519, 1433, 849, 4043, 547, 10404, 1125, 31436, 1872, 328, 779, 2126, 540, 654, 2967, 344, 13403, 269, 31379, 4766, 1010, 24575, 607, 1932, 11509, 543, 1350, 600, 528, 1242, 1317, 654, 2967, 344, 13403, 779, 17837, 538, 519, 14316, 616, 4843, 607, 1152, 642, 785, 1112, 633, 269, 31379, 2328, 602, 31436, 1872, 328, 1281, 711, 1459, 513, 3978, 7156, 540, 519, 2797, 1935, 540, 654, 2967, 344, 13403, 779, 14763, 269, 28763, 3415, 328, 568, 513, 7294, 1915, 945, 1152, 11394, 642, 3188, 766, 543, 2943, 1100, 7778, 568, 4628, 2016, 585, 1010, 2132, 547, 519, 14316, 269, 21919, 879, 568, 2919, 607, 513, 1915, 945, 568, 1152, 519, 1907, 540, 28763, 3415, 328, 269, 634, 22242, 616, 1152, 13915, 540, 654, 2967, 344, 13403, 563, 5278, 540, 713, 2038, 24081, 1890, 949, 1448, 856, 606, 4835, 6560, 585, 31436, 1872, 328, 5128, 269, 2311, 713, 1448, 538, 1010, 4876, 267, 31436, 1872, 328, 729, 1603, 538, 2296, 269, 3571, 4720, 547, 2308, 1010, 1378, 1893, 267, 717, 1731, 8500, 340, 267, 4523, 2663, 538, 476, 2735, 271, 269, 31436, 1872, 328, 814, 7150, 602, 1148, 568, 513, 3586, 3801, 547, 2132, 547, 519, 1893, 540, 519, 1004, 269, 1677, 1174, 3232, 1272, 543, 3084, 5389, 267, 5830, 6923, 2132, 547, 519, 11347, 1893, 269, 634, 24339, 26494, 540, 4000, 543, 922, 5289, 31135, 568, 2178, 538, 2022, 12258 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 476, 275, 270, 278, 2473, 476, 274, 270, 279, 1306, 589, 26271, 692, 275, 270, 278, 2473, 476, 274, 270, 279, 1306, 589, 26271, 269, 7316, 267, 476, 275, 270, 279, 568, 519, 3818, 2364, 663, 267, 476, 274, 270, 278, 568, 519, 12750, 1512, 267, 476, 274, 270, 1691, 568, 519, 14724, 1106, 540, 1587, 540, 8454, 269, 1411, 1631, 917, 4010, 875, 547, 5173, 476, 274, 270, 275, 1535, 476, 278, 270, 279, 780, 24169, 2042, 609, 1079, 267, 1614, 267, 610, 811, 8454, 543, 2338, 538, 835, 4082, 269, 815, 476, 277, 1535, 476, 274, 1315, 476, 277, 1535, 476, 275, 1341, 476, 275, 1535, 476, 276, 1315, 476, 275, 1535, 476, 277, 815, 476, 1240, 1315, 476, 2190, 1341, 476, 736, 1315, 476, 2190, 269, 3371, 568, 519, 2626, 547, 2055, 899, 281, 780, 2162, 17778, 1280, 17006, 17773, 4855, 634, 2274, 770, 5871, 9324, 7631, 1807, 2107, 700, 9492, 2986, 634, 5565, 9324, 7631, 2209, 1384, 275, 270, 279, 2053, 476, 274, 270, 278, 607, 513, 6824, 568, 3160, 547, 476, 274, 270, 1691, 269, 476, 275, 270, 2420, 3040, 4082, 609, 23049, 15545, 1879, 4946, 8454, 267, 519, 14009, 3788, 519, 1482, 4700, 1900, 476, 275, 1384, 2162, 815, 476, 4343, 1315, 476, 2190, 630, 9616, 1384, 11039, 267, 1317, 519, 15864, 1259, 547, 1039, 8454, 1927, 568, 547, 1118, 2386, 1312, 8454, 723, 519, 1482, 14009, 269, 1677, 6460, 6404, 1297, 476, 275, 476, 274, 270, 279, 547, 16789, 6824, 267, 596, 1246, 891, 3268, 281, 3245, 972, 267, 649, 666, 1685, 519, 8691, 547, 1205, 519, 4611, 6824, 1384, 2162, 700, 9492, 2986, 476, 275, 1656, 476, 279, 1772, 476, 279, 8921, 267, 4855, 634, 4982, 20884, 26271, 2986, 5637, 780, 29002, 8454, 519, 4542, 585, 4946, 8454, 568, 281, 2353, 5686, 540, 8454, 971, 607, 1697, 267, 16789, 11783, 634, 9498, 2337, 538, 4466, 1871, 689, 2789, 8454, 4238, 780, 2162, 26271, 3752, 591, 1772, 589, 15484, 23850, 1677, 16534, 2353, 9877, 338, 2986, 26271, 10819, 780, 275, 270, 278, 1535, 476, 274, 270, 279, 815, 476, 274, 270, 1691, 476, 275, 270, 278, 2053, 476, 274, 270, 279, 607, 513, 6824, 568, 3160, 547, 476, 274, 270, 1691, 269, 1677, 6460, 6404, 1297, 476, 274, 476, 278, 270, 279, 547, 16789, 6824, 267, 596, 1246, 891, 3268, 281, 815, 476, 277, 1535, 476, 274, 1315, 476, 277, 1535, 476, 275, 1341, 476, 275, 1535, 476, 276, 1315, 476, 275, 1535, 476, 277, 815, 476, 1240, 1315, 476, 2190, 1341, 476, 736, 1315, 476, 2190, 780, 2162, 9373, 634, 17773, 1656, 634, 25226, 7358, 1807, 769, 634, 1763, 8826, 18452, 12197, 5153, 476, 273, 1384, 275, 6398, 476, 279, 815, 476, 3953, 269, 16534, 2042, 609, 1079, 267, 1614, 267, 610, 811, 8454, 543, 2338, 538, 835, 4082, 269, 476, 273, 1535, 476, 276, 815, 476, 1015, 269, 0, 258, 1215, 798, 596, 4194, 476, 276, 343, 266, 279, 268, 274, 343, 15871, 1015, 2496, 11321, 476, 1691, 267, 476, 1001, 279, 692, 259, 343, 815, 910, 476, 280, 6911, 2971, 19247, 1384, 2791, 666, 27682, 519, 3830, 607, 692, 259, 276, 1535, 910, 476, 274, 1535, 1341, 476, 279, 815, 910, 476, 1015, 6911, 10190, 692, 259, 276, 1535, 910, 476, 274, 1535, 815, 476, 273, 1535, 6911, 3383, 692, 259, 273, 1535, 1341, 476, 279, 815, 910, 476, 1015, 6911, 10190, 267, 547, 1847, 519, 2898, 2338, 547, 835, 2427, 267, 596, 10208, 1269, 279, 14204, 5228, 1312, 5011, 692, 259, 273, 1535, 815, 910, 476, 1240, 6911, 2414, 1205, 7759, 540, 519, 1269, 273, 259, 538, 4395, 540, 519, 1269, 343, 8961, 7941, 1312, 5011, 676, 1269, 273, 6911, 259, 343, 815, 910, 476, 280, 259, 0, 258, 25663, 28513, 281, 594, 2731, 1223, 946, 930, 948, 609, 713, 1966, 269, 630, 306, 9331, 476, 1691, 7565, 268, 271, 269, 275, 328, 266, 275, 264, 1775, 284, 272, 594, 1131, 5660, 1022, 948, 602, 594, 666, 1205, 780, 31580, 1109, 15010, 1109, 10789, 476, 1109, 15010, 1109, 306, 3225, 1878, 7146, 1606, 7685, 9847, 25663, 28513, 281, 594, 2731, 1223, 946, 930, 948, 609, 713, 1966, 269, 630, 306, 9331, 476, 1691, 7565, 268, 271, 269, 275, 328, 266, 275, 264, 1775, 284, 272, 594, 1131, 5660, 1022, 948, 602, 594, 666, 1205, 269, 3396, 1109, 8298, 2201, 692, 1520, 281, 1325, 613, 1962, 1807, 12814, 31758, 707, 7223, 2042, 543, 2488, 1900, 8386, 9912, 3137, 256, 1520, 281, 10789, 3752, 1386, 256, 12814, 281, 7223, 3301, 31758, 7223, 6780, 2042, 609, 1900, 8386, 9912, 948, 2439, 10789, 281, 14938, 1878, 540, 2338, 267, 3126, 543, 875, 547, 2040, 873, 3752, 951, 16497, 12226, 21287, 13658, 769, 3493, 628, 692, 7726, 476, 13923, 25546, 281, 594, 2731, 1223, 946, 930, 948, 609, 713, 1966, 269, 630, 306, 9331, 476, 1691, 7565, 268, 271, 269, 275, 328, 266, 275, 264, 1775, 284, 272, 594, 1131, 5660, 1022, 948, 602, 594, 666, 1205, 6993, 985, 4546, 676, 522, 2675, 1173, 583, 263, 8660, 272, 264, 1741, 630, 17004, 11905, 2567, 1411, 666, 2322, 713, 3070, 593, 22400, 3896, 256, 11764, 630, 5228, 1775, 284, 272, 547, 1775, 284, 1691, 264, 1993, 11196, 271, 269, 275, 328, 266, 275, 264, 972, 616, 476, 273, 2081, 540, 3257, 621, 476, 272, 264, 1603, 782, 2474, 5681, 815, 590, 815, 30585, 271, 269, 275, 263, 272, 11924, 275, 27994, 15631, 271, 269, 275, 263, 273, 11924, 275, 27994, 2807, 1862, 15631, 271, 269, 275, 263, 1691, 11924, 275, 24557, 1691, 476, 273, 264, 1210, 602, 2040, 263, 5228, 1775, 284, 271, 547, 1775, 284, 333, 264, 1993, 630, 328, 6661, 328, 9217, 266, 272, 8358, 273, 630, 7078, 2040, 630, 5228, 1775, 284, 272, 547, 1775, 284, 276, 264, 540, 630, 328, 264, 568, 476, 276, 263, 277, 8358, 273, 284, 1428, 264, 1287, 519, 2040, 590, 284, 5681, 630, 5228, 1775, 284, 272, 547, 1775, 284, 1691, 264, 1993, 11196, 271, 269, 275, 328, 266, 275, 6661, 263, 6748, 3601, 540, 513, 13113, 2040, 6661, 268, 271, 269, 275, 314, 8999, 630, 5228, 1775, 284, 272, 547, 1775, 284, 1691, 264, 540, 630, 328, 13580, 266, 1691, 263, 275, 6661, 910, 271, 269, 275, 314, 1691, 265, 1428, 270, 273, 27994, 6321, 15871, 271, 269, 275, 263, 10755, 11924, 6321, 15871, 5655, 266, 6321, 284, 1691, 8382, 281, 590, 284, 1691, 0, 29479, 7726, 540, 519, 4303, 910, 11545, 547, 707, 25357, 7901, 282, 2182, 3283, 1152, 692, 898, 568, 4867, 476, 1704, 4239, 476, 1001, 280, 267, 476, 5400, 281, 2420, 692, 29479, 11833, 11545, 16721, 692, 14188, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 763, 1871, 540, 1142, 540, 476, 276, 2338, 568, 693, 2547, 476, 279, 269, 634, 3328, 630, 541, 10379, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 295, 728, 16193, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 6812, 275, 4905, 454, 763, 1871, 540, 1142, 540, 476, 276, 2338, 568, 693, 2547, 476, 279, 269, 634, 3328, 630, 541, 10379, 1109, 1496, 258, 21529, 6540, 17004, 16193, 692, 6021, 8734, 476, 1001, 276, 267, 476, 2537, 281, 876, 454, 272, 454, 275, 454, 876, 281, 876, 692, 11795, 22187, 1384, 3374, 260, 630, 4364, 1756, 2020, 9223, 853, 1846, 1384, 4037, 260, 630, 6349, 281, 6349, 264, 2953, 476, 1839, 260, 630, 6349, 281, 1704, 264, 4636, 1759, 593, 476, 9965, 7886, 692, 295, 728, 17004, 22245, 10803, 692, 763, 1871, 540, 1142, 540, 476, 276, 2338, 568, 693, 2547, 476, 279, 269, 634, 3328, 630, 541, 10379, 1611, 264, 540, 891, 476, 276, 2338, 568, 476, 2190, 269, 1403, 519, 3328, 540, 1079, 540, 519, 2338, 568, 476, 1240, 267, 1018, 568, 519, 4102, 2009, 1871, 602, 1022, 540, 891, 476, 276, 2338, 666, 723, 2496, 288, 269, 476, 2764, 454, 289, 269, 476, 2004, 454, 290, 269, 476, 6924, 454, 291, 269, 476, 10602, 454, 292, 269, 476, 10019, 692, 6303, 29390, 19723, 4472, 17072, 3525, 518, 1807, 454, 1805, 9850, 281, 4279, 1145, 5956, 3564, 707, 4313, 7997, 454, 16274, 281, 476, 5400, 5463, 476, 1001, 274, 454, 15803, 281, 476, 13301, 271, 454, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 4937, 5004, 267, 15613, 454, 18662, 338, 281, 22398, 2917, 1412, 736, 267, 4959, 289, 1412, 866, 454, 294, 5183, 281, 476, 274, 269, 273, 454, 25446, 281, 6176, 5303, 630, 8256, 738, 532, 994, 3725, 281, 634, 1871, 540, 1142, 540, 476, 276, 2338, 568, 693, 2547, 476, 279, 269, 634, 3328, 630, 541, 10379, 1109, 1496, 258, 21529, 6540, 17004, 16193, 692, 1015, 8734, 476, 1001, 276, 267, 476, 4905, 281, 4343, 454, 272, 454, 10831, 540, 2474, 2073, 562, 284, 476, 276, 454, 30182, 815, 476, 2190, 454, 320, 272, 266, 320, 273, 266, 320, 274, 266, 320, 275, 266, 320, 276, 815, 476, 2190, 265, 276, 284, 6344, 692, 320, 2071, 540, 1079, 540, 519, 2338, 568, 476, 1240, 454, 11764, 540, 891, 476, 273, 2338, 2073, 513, 274, 266, 320, 275, 815, 476, 3607, 454, 763, 2547, 2009, 1871, 540, 1022, 1297, 568, 476, 279, 454, 2690, 519, 4102, 2009, 1871, 630, 2280, 781, 2161, 513, 276, 264, 2073, 519, 824, 476, 273, 2338, 513, 272, 543, 513, 273, 991, 547, 581, 476, 279, 1142, 1547, 4475, 2073, 513, 272, 266, 320, 273, 815, 476, 1626, 454, 320, 272, 266, 320, 273, 266, 320, 274, 266, 320, 275, 815, 476, 3607, 266, 1626, 815, 476, 7367, 454, 11997, 513, 276, 815, 476, 6344, 910, 476, 7367, 454, 284, 476, 6924, 692, 6303, 29390, 2691, 3388, 4667, 547, 581, 2469, 1996, 596, 267, 3314, 602, 519, 20987, 3217, 1055, 1996, 519, 2842, 267, 711, 609, 621, 269, 910, 8361, 16110, 454, 763, 28850, 1411, 6056, 6168, 29179, 5455, 267, 6056, 2986, 634, 17217, 4208, 1411, 4477, 323, 2201, 1924, 7043, 454, 32317, 540, 6034, 832, 454, 1805, 9850, 281, 1627, 288, 1299, 22622, 17072, 3525, 518, 1807, 454, 16274, 281, 476, 1556, 9947, 476, 1001, 272, 454, 15803, 281, 476, 5325, 278, 276, 454, 19613, 281, 3127, 454, 294, 5183, 281, 476, 274, 269, 276, 454, 3725, 281, 634, 1871, 540, 1142, 540, 476, 276, 2338, 568, 693, 2547, 476, 279, 269, 634, 3328, 630, 541, 10379, 1109, 1496, 258, 21529, 6540, 17004, 16193, 692, 1015, 8734, 476, 1001, 276, 267, 476, 4905, 281, 7871, 454, 273, 454, 273, 454, 289, 684, 3241, 5206, 912, 763, 3328, 630, 541, 10379, 1611, 264, 540, 891, 476, 276, 2338, 568, 476, 2190, 780, 320, 1341, 536, 1341, 524, 1341, 546, 1341, 552, 815, 476, 6344, 692, 289, 684, 3241, 5206, 912, 2252, 519, 3328, 540, 1079, 540, 519, 2338, 568, 476, 1240, 692, 320, 1341, 536, 1341, 524, 1341, 546, 1341, 552, 815, 476, 6344, 692, 3607, 1341, 524, 1341, 546, 1341, 552, 815, 476, 6344, 692, 322, 1341, 546, 1341, 552, 815, 476, 10019, 692, 289, 684, 3241, 5206, 912, 763, 1871, 540, 1142, 540, 476, 276, 2338, 568, 693, 2547, 476, 279, 780, 3725, 2897, 519, 1871, 540, 476, 273, 2338, 607, 476, 279, 692, 322, 1341, 546, 1341, 552, 815, 476, 10019, 692, 279, 266, 279, 1341, 552, 815, 476, 10019, 692, 3383, 2073, 519, 5021, 2009, 1871, 540, 552, 815, 476, 6924, 630, 10019, 268, 1626, 2020, 17798, 2073, 2626, 568, 595, 269, 476, 6924, 454, 6303, 29390, 12552, 543, 3204, 1841, 692, 6781, 20130, 515, 330, 1862, 780, 303, 4041, 17955, 674, 5357, 299, 8582, 5990, 681, 8085, 2464, 11123, 623, 5308, 16249, 5442, 1627, 288, 6730, 22622, 11123, 9331, 6730, 2475, 292, 10323, 24086, 674, 7419, 290, 3582, 645, 9128, 16800, 623, 5308, 16249, 21832, 32530, 16739, 692, 1692, 547, 946, 9612, 9577, 538, 17918, 11833, 1923, 16390, 585, 5403, 532, 538, 1627, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1118, 873, 1413, 20585, 563, 2005, 568, 2009, 596, 786, 2842, 909, 3478, 1970, 2157, 593, 2272, 540, 835, 779, 3668, 331, 13831, 10525, 3330, 519, 2257, 22510, 19297, 269, 1635, 1259, 540, 1383, 267, 621, 568, 1360, 1271, 547, 4865, 19297, 593, 6927, 971, 607, 4365, 6272, 269, 1403, 596, 798, 711, 3274, 1491, 538, 547, 2272, 519, 21140, 543, 849, 1445, 811, 593, 519, 2257, 3379, 547, 1888, 540, 519, 16968, 267, 1287, 13604, 596, 786, 1439, 909, 1210, 513, 16283, 3446, 563, 2252, 596, 1810, 1406, 991, 1022, 23319, 593, 799, 2010, 540, 19297, 596, 723, 547, 8415, 267, 1287, 596, 9090, 1522, 1616, 547, 1413, 693, 3168, 593, 519, 1357, 585, 6667, 269, 1411, 3580, 1265, 513, 1297, 540, 7270, 799, 2270, 1100, 1942, 12449, 267, 713, 1797, 596, 666, 1374, 543, 1820, 707, 19297, 269, 769, 519, 2680, 596, 1810, 1406, 1378, 513, 2603, 540, 4179, 2517, 1372, 269, 764, 332, 14492, 24579, 12803, 270, 12528, 23860, 331, 1853, 299, 3711, 318, 21497, 277, 9489, 547, 6108, 267, 1287, 596, 9090, 1223, 849, 1904, 547, 1205, 2576, 602, 786, 4217, 596, 269, 901, 1259, 596, 616, 2111, 547, 4688, 3054, 2724, 7132, 621, 3580, 581, 513, 2898, 2603, 4443, 547, 1685, 707, 6662, 563, 2791, 11129, 547, 4584, 519, 3259, 540, 942, 519, 16968, 786, 2693, 7639, 269, 4107, 19297, 3136, 585, 513, 7008, 540, 3275, 269, 1411, 949, 2154, 1491, 896, 2272, 519, 2039, 540, 1004, 945, 616, 547, 1265, 621, 2429, 519, 8317, 269, 1280, 713, 2601, 267, 596, 1522, 1616, 547, 4584, 4179, 2517, 10919, 640, 6745, 1335, 1460, 3820, 16896, 24579, 12803, 10768, 1783, 341, 5622, 1001, 280, 513, 16968, 1374, 602, 786, 6529, 856, 543, 10544, 4656, 563, 2791, 3580, 1265, 1896, 8748, 29282, 602, 596, 666, 12398, 269, 634, 9030, 3364, 596, 1590, 3251, 538, 2247, 568, 519, 1249, 602, 952, 596, 1616, 519, 1413, 547, 4482, 1719, 267, 596, 849, 1616, 547, 1118, 2386, 519, 1543, 568, 811, 8076, 269, 901, 3884, 1406, 2141, 2241, 547, 3313, 267, 855, 596, 849, 666, 1449, 621, 676, 1210, 513, 8666, 540, 519, 1641, 596, 1131, 899, 547, 3132, 563, 288, 2603, 540, 519, 942, 267, 10453, 1616, 547, 7747, 2629, 1344, 538, 513, 16968, 269, 1280, 3236, 267, 789, 1223, 581, 3168, 585, 602, 3621, 6169, 513, 1880, 8345, 269, 769, 519, 2680, 596, 1331, 5961, 267, 596, 1287, 786, 1118, 2386, 602, 1004, 4179, 2517, 1721, 636, 4732, 27926, 4754, 15085, 28022, 8276, 20047, 25773, 27926, 332, 20207, 268, 270, 666, 1294, 2963, 3297, 519, 1919, 789, 616, 6031, 269, 1411, 1058, 849, 581, 1978, 707, 19297, 4159, 1175, 6337, 799, 596, 4076, 3144, 13948, 563, 8070, 619, 616, 2629, 1317, 789, 1397, 707, 7499, 1702, 538, 513, 8013, 1604, 269, 1411, 1522, 2154, 547, 4324, 689, 713, 4316, 547, 1397, 1055, 707, 3860, 1983, 2059, 609, 707, 1382, 543, 7422, 269, 1703, 616, 3833, 4179, 2517, 3199, 2675, 691, 9398, 14492, 270, 1721, 636, 270, 1613, 339, 8084, 21703, 286, 335, 284, 3707, 279, 2641, 513, 1906, 824, 6927, 799, 1004, 786, 1376, 3168, 585, 538, 891, 5686, 540, 19297, 267, 2705, 282, 4061, 267, 602, 519, 4998, 1259, 547, 2087, 707, 6060, 568, 2141, 547, 581, 3860, 543, 3312, 563, 2710, 711, 581, 11688, 26938, 547, 1491, 547, 4195, 4798, 593, 707, 1378, 19297, 269, 5221, 713, 666, 948, 596, 10646, 3054, 540, 519, 5304, 269, 634, 1360, 1655, 3364, 602, 596, 949, 1685, 568, 2141, 547, 581, 1978, 602, 596, 616, 5499, 267, 855, 4359, 849, 563, 2791, 798, 711, 991, 547, 6108, 513, 4179, 2517, 4178, 269, 2041, 770, 810, 325, 8705, 2593, 30406, 10774, 592, 330, 268, 1090, 335, 1137, 1922, 656, 6470, 1922, 7547, 2173, 541, 767, 7302, 2086, 687, 270, 5458, 2179, 540, 4747, 593, 707, 16968, 538, 519, 2680, 602, 596, 616, 3222, 540, 875, 4010, 547, 1118, 707, 1378, 269, 18421, 602, 596, 1590, 9585, 568, 547, 1265, 930, 1434, 3301, 543, 930, 2186, 540, 2592, 11049, 3292, 269, 634, 4244, 568, 547, 4647, 707, 1374, 689, 513, 3896, 543, 946, 621, 585, 1373, 513, 10959, 563, 1103, 519, 2680, 596, 723, 513, 3135, 799, 596, 3984, 513, 5816, 547, 1205, 267, 1287, 621, 568, 2009, 547, 723, 606, 3239, 538, 707, 16968, 607, 1134, 269, 634, 1114, 4781, 568, 547, 1118, 946, 540, 2592, 602, 616, 851, 540, 519, 4605, 1374, 543, 2511, 269, 4495, 596, 4076, 891, 17074, 267, 1287, 1287, 596, 666, 4647, 873, 543, 946, 873, 607, 707, 19297, 563, 7712, 596, 949, 723, 4767, 267, 596, 786, 1265, 6266, 540, 6753, 596, 1223, 1205, 891, 19297, 269, 1403, 596, 2461, 1053, 538, 513, 2852, 610, 6280, 267, 1287, 596, 9090, 616, 2469, 547, 723, 519, 2702, 547, 4309, 873, 856, 972, 269, 769, 1034, 6381, 267, 789, 616, 11593, 2139, 547, 1205, 607, 1279, 607, 596, 616, 606, 12314, 540, 707, 1378, 2754, 563, 2026, 513, 1259, 547, 6108, 1447, 267, 596, 666, 2638, 856, 25488, 7270, 543, 3801, 547, 1711, 707, 1378, 19297, 269, 1717, 267, 596, 723, 547, 2347, 707, 1382, 543, 1287, 1265, 856, 875, 1454, 596, 2461, 2469, 547, 581, 7836, 269, 1403, 596, 616, 3860, 2614, 267, 1287, 596, 2461, 2469, 547, 581, 2111, 547, 2097, 909, 609, 513, 1390, 2856, 602, 786, 7001, 519, 3007, 540, 1034, 519, 16488, 543, 9458, 269, 0, 763, 2160, 540, 3162, 8419, 5441, 540, 5398, 2657, 543, 519, 2160, 540, 29016, 779, 5398, 2657, 25674, 12524, 2319, 539, 909, 547, 1711, 513, 1007, 2228, 27330, 1138, 15975, 267, 968, 15709, 3633, 892, 630, 288, 17563, 585, 1234, 24554, 532, 25731, 8344, 18868, 1070, 602, 2982, 875, 3533, 27330, 666, 3262, 538, 8419, 689, 1175, 835, 27330, 2013, 563, 2005, 3631, 519, 1533, 779, 4890, 2551, 267, 3144, 689, 14829, 1239, 267, 543, 15109, 875, 1004, 1847, 827, 519, 3148, 543, 2170, 563, 5415, 2699, 15956, 1797, 811, 27330, 2665, 563, 17606, 779, 1175, 711, 1913, 267, 621, 779, 1175, 711, 1239, 267, 621, 779, 1175, 711, 2338, 602, 1004, 616, 6947, 547, 2223, 1767, 3220, 269, 27239, 700, 14525, 267, 513, 1857, 1072, 7548, 693, 2475, 293, 543, 8689, 540, 519, 2920, 22999, 6997, 693, 519, 5441, 540, 5398, 2657, 269, 968, 2791, 666, 2965, 1294, 621, 538, 4395, 540, 707, 4064, 3034, 2005, 6238, 609, 513, 2582, 27330, 2013, 12628, 883, 519, 2749, 267, 6029, 875, 519, 3644, 1131, 3262, 936, 513, 8370, 18881, 1974, 563, 29973, 569, 519, 1907, 9727, 23636, 12046, 563, 763, 811, 1004, 945, 616, 18764, 267, 519, 9875, 942, 519, 3644, 814, 10825, 1063, 796, 341, 3147, 3990, 1004, 610, 1346, 4171, 12674, 814, 530, 534, 539, 269, 3220, 269, 700, 14525, 1767, 519, 1101, 11191, 3381, 2982, 1018, 8419, 17061, 1522, 1413, 899, 609, 1699, 12674, 3928, 563, 2108, 10190, 621, 1138, 12885, 1107, 1018, 952, 519, 12674, 3928, 6749, 1152, 676, 4557, 2600, 286, 1656, 596, 666, 1294, 267, 952, 596, 979, 547, 519, 3896, 267, 519, 5458, 1297, 540, 2665, 602, 4386, 1287, 3034, 763, 1138, 15975, 9397, 1524, 1239, 676, 2749, 610, 10315, 269, 7351, 12674, 3928, 3357, 689, 519, 8419, 4972, 540, 1072, 1153, 31331, 5638, 563, 7804, 269, 700, 14525, 1767, 519, 2147, 568, 513, 5363, 1259, 547, 14650, 1946, 12674, 568, 865, 1271, 267, 2523, 585, 1004, 945, 616, 1932, 1762, 610, 1932, 7210, 547, 581, 18764, 12171, 27518, 14594, 4427, 3939 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 290, 885, 1472, 519, 1158, 616, 32387, 540, 1480, 2534, 267, 31523, 609, 1272, 267, 2528, 267, 543, 5647, 269, 1717, 267, 789, 849, 3565, 3648, 547, 2518, 8511, 3154, 5434, 267, 12615, 908, 519, 5571, 2916, 6433, 269, 1677, 3927, 2232, 713, 4161, 267, 621, 781, 1898, 547, 1174, 519, 6946, 4276, 1063, 20012, 543, 2916, 1689, 269, 769, 713, 3184, 267, 649, 786, 2263, 519, 1950, 6384, 1063, 4872, 267, 741, 11317, 267, 543, 519, 1604, 780, 6637, 476, 273, 281, 634, 10020, 540, 12124, 12020, 538, 1744, 12686, 12655, 18877, 692, 2026, 12403, 1841, 540, 519, 3710, 1604, 267, 4683, 24990, 4865, 10373, 1379, 547, 3337, 4264, 2950, 602, 7413, 2825, 1764, 1247, 7393, 2298, 540, 1272, 269, 3414, 7580, 2244, 946, 3664, 267, 6283, 5989, 1646, 267, 543, 2146, 6278, 7341, 267, 24990, 666, 1711, 7524, 267, 14388, 16973, 602, 3895, 1514, 9698, 267, 2804, 21755, 267, 543, 8733, 3666, 269, 1284, 786, 5490, 883, 1585, 3344, 540, 4683, 4058, 543, 4983, 1655, 2853, 602, 6536, 6940, 780, 6637, 476, 274, 281, 27588, 4132, 6363, 7037, 20079, 281, 26875, 1944, 8881, 267, 29456, 267, 543, 7591, 692, 14399, 2099, 513, 19918, 7925, 15295, 950, 621, 2501, 547, 10188, 4683, 5054, 269, 23496, 2922, 267, 3015, 267, 543, 2502, 1857, 5624, 3358, 547, 1762, 3755, 3340, 6297, 7156, 540, 2188, 971, 607, 6808, 22196, 3800, 267, 31355, 7888, 10754, 7870, 267, 543, 8537, 19209, 6272, 269, 1635, 6220, 1453, 781, 5380, 543, 2115, 883, 2749, 4058, 3646, 267, 649, 666, 11349, 8902, 267, 18668, 2950, 602, 20741, 2104, 5481, 540, 3743, 4961, 780, 6637, 476, 275, 281, 4498, 1145, 532, 5303, 585, 5682, 518, 20079, 281, 3245, 12829, 6182, 1749, 547, 7046, 4578, 15107, 13257, 692, 20007, 1670, 7760, 2709, 3078, 3255, 585, 4683, 24990, 5275, 5499, 3435, 547, 10296, 2916, 2591, 269, 1280, 3236, 267, 5100, 21870, 5512, 811, 3608, 1648, 2359, 676, 10128, 7791, 2959, 543, 3747, 3210, 4066, 269, 11531, 267, 1930, 1239, 5867, 7668, 7264, 547, 1118, 5483, 5079, 827, 741, 3232, 13467, 267, 5807, 513, 7104, 2631, 540, 5539, 2509, 4227, 3327, 29066, 269, 769, 713, 3184, 267, 649, 786, 4983, 1585, 10509, 2645, 543, 2994, 602, 1489, 22928, 267, 1970, 28003, 4872, 780, 6637, 476, 276, 281, 7991, 22580, 543, 4065, 281, 674, 29183, 513, 9177, 540, 7025, 19731, 13734, 1851, 8479, 22893, 692, 19931, 4683, 4058, 11498, 3564, 2168, 7459, 282, 621, 849, 3322, 14637, 513, 3838, 7029, 547, 4264, 2713, 1851, 2146, 2818, 269, 12140, 543, 3872, 5238, 1404, 11358, 5107, 538, 5935, 1453, 781, 8456, 2509, 519, 1604, 543, 8716, 873, 547, 1831, 8069, 540, 2318, 1689, 269, 3414, 23913, 1565, 3292, 267, 10357, 18221, 11044, 267, 543, 10319, 12352, 609, 2199, 3906, 267, 7855, 666, 8300, 1762, 8186, 547, 9784, 4264, 19824, 543, 7119, 538, 2146, 21445, 7341, 780, 6637, 476, 277, 281, 8865, 5525, 281, 1401, 6374, 776, 17738, 540, 12124, 12020, 585, 8866, 692, 2414, 9414, 519, 3741, 5941, 2429, 713, 1433, 267, 649, 786, 1459, 1896, 2013, 2090, 10223, 3811, 4683, 4058, 3785, 602, 4225, 1453, 781, 8171, 543, 2825, 6940, 269, 1452, 12013, 1513, 4196, 607, 3407, 2798, 540, 4704, 585, 14971, 24990, 267, 14519, 267, 543, 7722, 4961, 8149, 547, 2679, 1732, 4872, 585, 2104, 5481, 780, 3528, 3695, 519, 10167, 540, 4683, 4058, 267, 6689, 1646, 267, 543, 2916, 2962, 267, 713, 1576, 1770, 6663, 547, 16491, 2852, 1053, 609, 519, 1702, 543, 1983, 2556, 547, 1711, 12581, 267, 14388, 267, 543, 1126, 7888, 4683, 8916, 269, 8625, 267, 1577, 721, 556, 574, 2602, 938, 4872, 607, 14762, 8134, 602, 6536, 2208, 267, 5876, 267, 543, 10103, 1063, 3425, 543, 2470, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1909, 602, 4058, 267, 4683, 2127, 543, 4872, 1404, 538, 519, 2916, 6433, 454, 2108, 31413, 5624, 616, 693, 519, 4295, 540, 1312, 2916, 1689, 543, 2916, 2962, 267, 891, 616, 519, 5624, 602, 3180, 1034, 540, 519, 8608, 779, 2551, 543, 616, 1419, 1141, 519, 2360, 540, 513, 4657, 2916, 666, 581, 5433, 519, 1034, 269, 1215, 649, 1374, 938, 4872, 267, 946, 938, 2244, 267, 2200, 543, 1265, 3435, 547, 2221, 779, 2042, 782, 723, 1713, 5222, 593, 2104, 5481, 269, 12124, 5624, 1058, 711, 581, 6956, 607, 5094, 689, 6917, 3283, 543, 649, 1058, 581, 3001, 547, 513, 1747, 1141, 972, 568, 513, 1623, 25027, 2078, 1063, 891, 1079, 607, 10353, 547, 6735, 269, 901, 3923, 779, 1128, 531, 618, 540, 5682, 5264, 9177, 2501, 689, 606, 4683, 4058, 18544, 2875, 267, 631, 2801, 10370, 7799, 267, 945, 568, 9887, 1565, 543, 945, 13922, 547, 2671, 930, 540, 602, 1184, 609, 596, 269, 594, 723, 3769, 930, 1570, 602, 1175, 22269, 1790, 6506, 519, 2139, 3332, 543, 3308, 2200, 547, 1397, 875, 4683, 1143, 543, 4058, 1921, 609, 519, 2916, 543, 2486, 3034, 1607, 3381, 5205, 606, 1977, 804, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 31413, 12020, 585, 8866, 257, 607, 851, 540, 834, 16300, 13493, 1315, 17151, 18887, 1315, 4975, 1299, 16011, 5020, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 519, 14297, 2749, 540, 674, 745, 640, 6807, 267, 5030, 1614, 1655, 2828, 910, 962, 334, 312, 334, 519, 962, 690, 4669, 267, 7137, 787, 519, 853, 3863, 9440, 543, 21081, 7637, 717, 14766, 269, 1358, 782, 1185, 2189, 14789, 282, 962, 334, 312, 334, 729, 9350, 543, 7104, 267, 7137, 787, 729, 18512, 543, 6653, 1247, 21081, 7637, 717, 14766, 729, 29511, 344, 609, 513, 2295, 2407, 540, 22556, 2439, 3080, 13566, 6640, 267, 741, 3659, 1677, 770, 609, 3212, 534, 583, 19643, 543, 14465, 3570, 10272, 873, 689, 2484, 2476, 2244, 267, 3400, 1231, 1412, 333, 715, 7491, 717, 17311, 269, 1261, 4280, 267, 834, 20756, 25097, 256, 1403, 596, 798, 723, 513, 1769, 14254, 267, 1018, 781, 707, 979, 3562, 4781, 585, 513, 2656, 543, 2653, 7594, 12482, 257, 17764, 267, 602, 781, 2653, 10590, 669, 597, 6244, 7137, 787, 269, 834, 2171, 2648, 1373, 1927, 910, 803, 267, 962, 334, 312, 334, 543, 21081, 7637, 717, 14766, 269, 898, 2306, 721, 1745, 10069, 1242, 543, 4712, 547, 1376, 938, 1554, 3010, 2414, 770, 21330, 24617, 269, 3973, 646, 1767, 267, 834, 3719, 1946, 1281, 4189, 596, 16921, 1118, 873, 1745, 865, 1434, 286, 1772, 972, 930, 4990, 540, 9059, 3238, 12482, 294, 3757, 7637, 717, 14766, 17254, 326, 1194, 269, 834, 5591, 25064, 267, 711, 9059, 269, 1879, 649, 9192, 1927, 267, 938, 4703, 1683, 1945, 1572, 5567, 799, 948, 741, 4703, 1332, 2635, 543, 2178, 3010, 312, 334, 312, 334, 6045, 2417, 267, 834, 301, 19153, 616, 899, 6263, 2679, 7161, 602, 7816, 741, 1560, 2281, 543, 2285, 873, 1648, 3010, 29155, 787, 3773, 267, 834, 4517, 1114, 3536, 723, 1114, 5686, 540, 5567, 269, 1280, 1383, 267, 594, 993, 3638, 538, 6171, 595, 799, 2337, 1832, 873, 2178, 543, 4761, 547, 3676, 3010, 9617, 1287, 267, 789, 4862, 513, 10978, 15555, 1076, 269, 589, 9649, 20203, 14903, 13042, 834, 31088, 539, 5253, 31543, 257, 3357, 12902, 883, 4884, 267, 17116, 547, 1491, 936, 674, 745, 640, 6807, 256, 2353, 8604, 4503, 2394, 13718, 1103, 606, 6397, 2490, 540, 2621, 267, 3079, 540, 8165, 1394, 267, 519, 1426, 2828, 4956, 547, 13599, 519, 12051, 827, 6484, 543, 1483, 1426, 269, 5080, 29418, 267, 519, 12051, 19557, 543, 8815, 547, 1689, 922, 2081, 267, 6721, 8902, 6980, 8754, 1721, 628, 269, 4935, 267, 3450, 3025, 602, 3006, 267, 1702, 666, 14710, 1256, 519, 7887, 6937, 267, 1818, 519, 1158, 513, 1732, 1747, 267, 835, 7594, 693, 513, 942, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 28490, 596, 798, 723, 513, 1769, 14254, 267, 1018, 568, 707, 979, 3562, 4781, 585, 513, 2656, 543, 2653, 7594, 538, 519, 6640, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 3548, 267, 855, 930, 2656, 543, 2653, 14254, 3681, 585, 3425, 616, 18506, 609, 4829, 543, 11491, 7637, 267, 16074, 28113, 267, 5347, 625, 267, 610, 513, 4062, 540, 2898, 3766, 1778, 547, 770, 609, 24113, 7423, 543, 19337, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 17305, 565, 28640, 1108, 267, 849, 1634, 607, 1274, 267, 9224, 267, 543, 11563, 630, 7728, 264, 4915, 267, 568, 513, 7936, 540, 2564, 2259, 602, 9388, 609, 2175, 543, 3676, 7133, 519, 2212, 543, 8405, 3148, 269, 2290, 7449, 2133, 1399, 1369, 17333, 565, 28640, 1108, 568, 5778, 339, 1108, 267, 799, 6212, 4481, 593, 4713, 540, 519, 6418, 1274, 543, 15693, 3490, 269, 901, 2361, 3340, 513, 2620, 1620, 540, 1312, 2564, 543, 10551, 3741, 267, 607, 1134, 607, 2673, 5698, 609, 824, 12665, 971, 607, 11719, 1235, 267, 10237, 5505, 267, 543, 32346, 5505, 269, 769, 713, 3296, 267, 649, 786, 2263, 519, 1909, 540, 5778, 339, 1108, 1369, 17333, 565, 28640, 1108, 267, 1519, 922, 4791, 3156, 267, 10368, 2553, 267, 543, 2126, 4485, 780, 763, 28740, 2423, 543, 4787, 1638, 12476, 692, 2414, 1174, 5778, 339, 1108, 267, 621, 781, 1271, 1101, 547, 5660, 519, 1950, 3889, 3238, 269, 634, 6418, 1274, 5161, 540, 513, 3126, 540, 5714, 23752, 9055, 1572, 519, 22514, 24212, 1062, 267, 3743, 585, 3666, 543, 8901, 10066, 267, 543, 519, 31882, 548, 320, 267, 799, 17838, 3280, 6329, 883, 5122, 6786, 10299, 547, 519, 2634, 269, 1452, 10347, 3889, 616, 24428, 1369, 519, 13796, 5642, 267, 2059, 609, 519, 11132, 8229, 543, 1896, 1973, 8043, 269, 26361, 519, 6418, 1274, 6013, 519, 1647, 22623, 658, 6522, 320, 267, 513, 13570, 1369, 519, 15693, 5627, 519, 2634, 543, 3875, 13285, 269, 8625, 267, 891, 2127, 1106, 519, 15693, 3490, 267, 513, 2565, 22882, 1063, 519, 8401, 543, 10444, 1949, 780, 32747, 10241, 540, 11671, 339, 1108, 692, 32507, 339, 11043, 2175, 666, 1459, 609, 1585, 2589, 267, 8151, 689, 6217, 2530, 543, 9825, 15282, 547, 13046, 543, 11132, 26900, 269, 5871, 21904, 1331, 17974, 29648, 553, 630, 4034, 24212, 11634, 342, 2335, 5557, 1070, 9093, 328, 699, 781, 2068, 267, 2978, 31307, 4345, 267, 543, 9120, 12324, 632, 327, 4593, 775, 6794, 269, 6452, 23847, 5868, 1419, 12346, 593, 513, 4999, 540, 2168, 6514, 267, 9196, 2090, 267, 543, 24384, 6248, 4152, 269, 1280, 1383, 267, 6419, 16982, 9196, 630, 28122, 264, 949, 581, 1031, 547, 14650, 12970, 610, 15087, 7133, 519, 22514, 756, 592, 665, 5255, 3598, 8229, 267, 1247, 22514, 24212, 859, 12097, 1250, 8328, 30372, 630, 309, 4932, 11679, 264, 666, 948, 2697, 17244, 538, 519, 22514, 24212, 1062, 780, 5629, 513, 5868, 814, 1044, 3964, 267, 3617, 2359, 2994, 1590, 581, 2808, 269, 3509, 5778, 339, 11043, 2175, 666, 581, 7307, 11122, 8271, 998, 6527, 267, 6197, 12381, 267, 610, 11222, 4106, 894, 11257, 269, 1717, 267, 6391, 949, 581, 2838, 585, 1978, 2665, 267, 3226, 950, 972, 568, 1713, 1981, 540, 11636, 6217, 2530, 267, 1669, 638, 10329, 267, 610, 8849, 14207, 269, 13880, 673, 6304, 949, 4125, 30194, 12362, 5773, 971, 607, 1439, 25646, 1274, 6391, 610, 811, 1950, 4485, 899, 6037, 629, 31307 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18351, 568, 6383, 585, 513, 1808, 1062, 267, 855, 540, 1576, 713, 1062, 1808, 1871, 1223, 3362, 581, 27366, 676, 519, 17076, 950, 2348, 1569, 547, 519, 1062, 540, 519, 6408, 563, 2108, 2026, 621, 7140, 856, 267, 519, 17076, 1281, 711, 2965, 991, 547, 979, 998, 519, 8373, 540, 13844, 519, 6408, 781, 1062, 1808, 1871, 267, 1317, 713, 1808, 1871, 568, 1152, 13761, 950, 1104, 532, 519, 1530, 2017, 2839, 570, 7505, 23268, 267, 543, 814, 1100, 6935, 547, 519, 6079, 1031, 547, 5352, 4890, 1079, 29969, 21797, 269, 901, 1797, 519, 17076, 666, 2965, 3274, 15429, 519, 2638, 799, 2357, 5809, 952, 519, 16865, 2571, 18351, 729, 6383, 585, 713, 1062, 267, 543, 1281, 711, 991, 547, 21898, 609, 27560, 519, 1062, 1808, 1871, 693, 782, 563, 24685, 2110, 267, 782, 519, 17076, 814, 547, 798, 547, 1118, 946, 540, 519, 1079, 29969, 17452, 9479, 568, 547, 21102, 606, 681, 6347, 1530, 2017, 2839, 12229, 570, 7505, 543, 547, 15429, 835, 6044, 267, 799, 2164, 538, 519, 5108, 540, 4570, 21797, 3034, 4407, 621, 814, 1044, 1634, 585, 930, 942, 602, 930, 4359, 10770, 3463, 630, 4338, 307, 264, 2516, 543, 10427, 11051, 941, 2111, 547, 21271, 631, 11902, 538, 930, 8320, 267, 519, 2487, 10427, 6285, 602, 2408, 547, 723, 21271, 532, 891, 5686, 540, 20038, 607, 835, 540, 741, 1292, 3853, 2488, 513, 12576, 1100, 2582, 3070, 568, 6190, 563, 293, 6136, 267, 891, 6285, 849, 1397, 631, 11902, 568, 2324, 607, 31487, 991, 547, 979, 547, 1390, 13080, 547, 1265, 4244, 1797, 547, 21556, 631, 11902, 3491, 15157, 539, 3906, 269, 20871, 1058, 1491, 3606, 3268, 547, 2333, 4027, 267, 971, 607, 912, 268, 10748, 1746, 21189, 543, 15765, 30615, 2621, 454, 268, 5623, 532, 543, 4227, 2533, 543, 6589, 602, 798, 711, 2154, 631, 11902, 454, 268, 18227, 909, 547, 4266, 593, 15649, 585, 1022, 4362, 16426, 454, 268, 25392, 513, 3463, 2203, 1141, 631, 11902, 949, 581, 21271, 539, 610, 593, 21935, 11580, 949, 581, 19847, 454, 268, 5890, 21505, 741, 4642, 3972, 6189, 3564, 2241, 476, 273, 11902, 563, 2171, 5000, 596, 547, 2671, 707, 4555, 593, 707, 5172, 1514, 3760, 269, 0, 763, 5480, 779, 1007, 2165, 267, 799, 6238, 11728, 267, 786, 7914, 1318, 1394, 883, 1164, 3491, 12803, 13338, 12959, 899, 13359, 2924, 267, 31077, 2962, 543, 519, 2669, 15163, 267, 607, 1134, 607, 513, 1007, 4323, 593, 1857, 5498, 2758, 4074, 18787, 269, 1656, 519, 1175, 1182, 949, 1134, 3858, 547, 1491, 909, 2152, 540, 16377, 543, 15333, 4003, 1586, 267, 538, 2665, 602, 1223, 2417, 14816, 2476, 10285, 2924, 269, 634, 3664, 2063, 2165, 4951, 513, 5480, 8348, 547, 1491, 883, 2272, 519, 2360, 540, 519, 1876, 593, 1367, 2729, 269, 901, 2165, 267, 519, 1175, 1182, 723, 1082, 3255, 547, 1397, 602, 1482, 1826, 540, 4656, 269, 634, 3656, 6240, 540, 968, 821, 1268, 267, 835, 8917, 892, 3893, 922, 2407, 652, 4082, 538, 519, 476, 3422, 275, 2013, 32083, 642, 269, 3244, 338, 267, 799, 12199, 602, 1533, 15424, 13102, 1590, 2270, 10199, 3160, 2338, 540, 1004, 269, 6969, 1287, 267, 8664, 5095, 9867, 4922, 267, 606, 18532, 2259, 602, 5795, 811, 1379, 547, 6917, 3043, 17037, 982, 1346, 538, 519, 811, 3309, 4872, 269, 2755, 519, 5480, 814, 2760, 3989, 945, 12523, 607, 513, 1268, 267, 519, 5318, 5354, 540, 2829, 1293, 782, 1004, 945, 2661, 538, 513, 8664, 267, 1256, 952, 789, 616, 711, 14718, 547, 8917, 563, 1103, 4634, 342, 601, 642, 269, 2806, 321, 2714, 267, 1079, 7147, 17037, 616, 4101, 602, 6240, 269, 1358, 1616, 547, 3196, 519, 1533, 547, 1293, 1152, 519, 1297, 540, 17037, 538, 813, 10407, 532, 13102, 269, 901, 1935, 267, 16310, 1373, 693, 12918, 609, 1279, 14092, 1061, 539, 2259, 267, 568, 1312, 1102, 2716, 1043, 543, 791, 24411, 269, 634, 14829, 267, 799, 2488, 519, 1239, 602, 1034, 2829, 946, 267, 12523, 1004, 267, 711, 17037, 563, 8170, 1576, 267, 519, 27674, 14554, 917, 602, 3478, 7759, 540, 513, 1062, 602, 12523, 782, 1004, 1131, 10413, 14891, 6122, 22135, 4683, 2127, 609, 1804, 267, 1875, 31842, 714, 523, 21337, 5095, 267, 543, 1131, 3870, 6917, 543, 15061, 2127, 1141, 811, 25743, 2661, 269, 769, 824, 1913, 267, 519, 9290, 568, 606, 4674, 547, 4483, 2797, 1379, 689, 14891, 547, 17044, 4525, 269, 634, 10966, 7040, 814, 2760, 2838, 602, 2829, 1246, 713, 610, 1022, 824, 1808, 1505, 540, 813, 10407, 618, 267, 543, 972, 568, 1100, 2601, 547, 1376, 1631, 269, 0, 313, 327, 592, 822, 338, 6390, 744, 1421, 14717, 1817, 13960, 589, 269, 8033, 8462, 538, 9752, 540, 5983, 532, 19932, 538, 4937, 4065, 12140, 454, 21292, 281, 7659, 1913, 281, 15364, 538, 3450, 267, 4914, 1893, 267, 5912, 267, 3119, 1153, 267, 6281, 1153, 267, 2489, 2069, 1153, 267, 6240, 540, 15364, 267, 3872, 1184, 563, 3086, 12997, 519, 1893, 1565, 3390, 568, 2523, 8650, 267, 4061, 538, 519, 2796, 540, 3872, 1062, 6963, 532, 267, 19597, 730, 3646, 616, 9859, 547, 3313, 519, 1034, 3501, 543, 12007, 1259, 540, 4914, 1893, 3450, 269, 1677, 1118, 1893, 1565, 519, 1034, 2500, 267, 538, 519, 3872, 1062, 15364, 1590, 581, 19658, 543, 6913, 269, 8033, 8462, 568, 28955, 538, 519, 5311, 543, 9836, 11460, 540, 519, 3872, 1570, 267, 998, 519, 4276, 543, 11558, 540, 519, 5933, 540, 3450, 543, 3872, 960, 267, 799, 568, 24458, 538, 519, 5912, 538, 519, 7522, 2631, 689, 835, 2534, 547, 1776, 267, 543, 593, 513, 3677, 4336, 689, 835, 4081, 1032, 547, 519, 1985, 1032, 267, 689, 835, 1377, 547, 1776, 269, 23496, 540, 15364, 538, 519, 3450, 1184, 568, 513, 32563, 585, 8223, 540, 519, 4121, 1570, 693, 513, 4514, 1377, 267, 15699, 540, 519, 6591, 1702, 676, 9241, 4607, 1344, 267, 519, 1007, 3347, 23930, 267, 1018, 7930, 2164, 538, 2810, 519, 2298, 540, 1702, 267, 1983, 543, 5759, 267, 5355, 519, 1377, 540, 513, 4914, 1893, 17117, 543, 3376, 2287, 519, 2698, 6006, 540, 519, 4282, 1702, 563, 763, 2376, 27180, 15364, 267, 607, 835, 540, 519, 25471, 3741, 540, 4914, 1893, 3450, 543, 1565, 538, 2489, 2069, 3506, 269, 634, 1292, 1445, 568, 593, 519, 1382, 7282, 6388, 540, 15364, 6240, 1282, 5912, 689, 3119, 547, 6281, 1153, 563, 26046, 540, 519, 3872, 1062, 814, 5462, 602, 519, 6240, 540, 15364, 538, 4914, 1893, 3450, 568, 1419, 2258, 730, 543, 796, 574, 921, 7757, 1282, 5912, 689, 3119, 547, 6281, 1153, 269, 1306, 513, 12343, 267, 513, 1713, 7274, 540, 2042, 568, 12090, 538, 519, 3872, 1184, 269, 898, 3123, 519, 13766, 547, 14969, 2081, 540, 6061, 2042, 543, 547, 2936, 873, 607, 513, 2339, 540, 4890, 2259, 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 ]
[ 952, 1919, 941, 547, 1847, 538, 519, 7122, 267, 972, 1185, 547, 581, 513, 544, 1478, 543, 606, 7778, 585, 713, 544, 1478, 563, 1432, 1705, 13985, 21590, 2303, 729, 519, 2048, 4462, 332, 3437, 631, 1478, 685, 888, 1432, 729, 13985, 21590, 779, 2034, 2048, 310, 599, 685, 888, 763, 4608, 320, 4310, 1757, 518, 563, 1692, 666, 519, 4608, 320, 4310, 1757, 518, 581, 6045, 888, 3891, 5267, 602, 3388, 602, 814, 1044, 3361, 1590, 723, 1044, 3361, 676, 930, 1373, 269, 968, 301, 5847, 538, 713, 1158, 1223, 723, 5949, 1510, 606, 3608, 2014, 1848, 1280, 1945, 547, 581, 3361, 267, 13985, 21590, 13187, 602, 513, 811, 3532, 3196, 1590, 723, 3361, 621, 543, 585, 13985, 21590, 713, 3196, 1590, 581, 2696, 563, 3963, 1281, 10515, 601, 8725, 3858, 609, 13985, 21590, 888, 3891, 11099, 602, 972, 3112, 581, 606, 12808, 1036, 816, 563, 1692, 666, 519, 12808, 1036, 816, 581, 6045, 888, 7712, 519, 7122, 568, 519, 2040, 2698, 540, 782, 1919, 602, 2291, 1369, 621, 267, 9039, 540, 922, 9115, 666, 581, 519, 2014, 540, 922, 6228, 267, 519, 2014, 585, 519, 6228, 540, 519, 7122, 1590, 581, 5007, 547, 621, 563, 1692, 1281, 10515, 601, 8725, 2491, 519, 991, 585, 2696, 676, 1210, 519, 12808, 1036, 816, 888, 3891, 2306, 513, 7914, 538, 2601, 543, 2829, 602, 519, 2014, 585, 519, 7122, 1590, 581, 1582, 4929, 543, 646, 4016, 547, 713, 607, 513, 2048, 928, 10354, 1373, 16224, 713, 1373, 9444, 2501, 883, 6228, 6862, 4422, 856, 540, 6228, 543, 1590, 2291, 10446, 540, 4376, 3116, 543, 607, 971, 568, 3544, 519, 7122, 563, 8489, 3116, 798, 649, 1294, 519, 4661, 585, 1757, 566, 888, 1103, 519, 918, 15401, 21261, 1107, 23608, 538, 7332, 14172, 1107, 5916, 609, 634, 8262, 10854, 7869, 563, 1692, 1281, 3798, 16019, 2491, 519, 918, 15401, 4661, 888, 2304, 12808, 7122, 1131, 723, 606, 12808, 1297, 540, 2395, 267, 519, 1439, 540, 606, 12808, 3126, 540, 2395, 1223, 2760, 581, 6603, 267, 543, 952, 519, 1439, 1223, 711, 581, 6603, 267, 1287, 2221, 1223, 711, 581, 6603, 269, 4475, 942, 3459, 950, 519, 7122, 3459, 267, 799, 2257, 814, 8810, 547, 581, 634, 8262, 10854, 563, 1692, 1281, 519, 8262, 10854, 1683, 2963, 585, 519, 6228, 540, 2696, 888, 763, 8262, 10854, 729, 606, 2680, 543, 689, 1995, 649, 917, 602, 2621, 616, 3361, 543, 519, 4098, 540, 519, 7122, 729, 606, 2680, 267, 4061, 972, 1590, 723, 1044, 513, 2014, 585, 713, 2680, 547, 1491, 1747, 543, 713, 2014, 666, 21230, 581, 6045, 607, 2696, 563, 1692, 666, 18573, 581, 1031, 547, 1489, 519, 14421, 1670, 4661, 888, 5978, 20339, 616, 2963, 540, 6228, 538, 519, 1158, 269, 18573, 2829, 968, 712, 20339, 1448, 721, 2509, 24656, 892, 543, 646, 3096, 713, 1523, 547, 1118, 721, 29311, 602, 607, 649, 723, 20339, 267, 649, 1590, 723, 1044, 2813, 676, 1945, 609, 513, 9997, 563, 1692, 1281, 17127, 1489, 18573, 779, 2070, 888, 3891, 8711, 519, 1249, 602, 4986, 666, 2097, 689, 4986, 267, 865, 519, 6228, 540, 519, 7122, 814, 547, 2097, 689, 1945, 563, 1432, 568, 519, 1292, 1966, 609, 519, 14421, 1670, 4661, 888, 2005, 568, 31602, 267, 968, 320, 17911, 328, 892, 543, 10991, 4061, 2495, 602, 621, 666, 1152, 2479, 3914, 513, 21483, 3932, 543, 3112, 581, 2938, 607, 513, 6169, 585, 519, 7778, 540, 519, 7122, 563, 1432, 1705, 15537, 8316, 6362, 2161, 827, 2257, 888, 17556, 1597, 8316, 6362, 19038, 569, 6700, 602, 968, 24392, 2257, 949, 2626, 875, 519, 7122, 3459, 267, 621, 3112, 2626, 519, 2243, 1946, 519, 7122, 21898, 338, 547, 2291, 3034, 3963, 1281, 519, 1249, 602, 519, 7122, 568, 711, 1582, 4929, 711, 1489, 519, 6228, 540, 2696, 888, 2026, 875, 666, 513, 5832, 540, 1757, 566, 581, 3361, 676, 1945, 799, 3123, 3294, 888, 1692, 1705, 670, 2541, 2417, 519, 4661, 1996, 1757, 566, 888, 3891, 9738, 519, 1249, 602, 1175, 1317, 3388, 1369, 519, 7122, 814, 513, 2014, 267, 1281, 711, 4061, 8209, 1611, 602, 519, 7122, 3294, 1590, 723, 513, 2014, 267, 607, 649, 723, 1100, 2833, 540, 5203, 525, 1373, 1500, 267, 865, 649, 3112, 3717, 25006, 827, 519, 5137, 540, 519, 7122, 563, 1432, 568, 519, 6424, 670, 2541, 10839, 1996, 519, 4661, 689, 1757, 566, 888, 2108, 31819, 602, 649, 7747, 814, 513, 2014, 892, 547, 968, 1492, 7122, 814, 513, 2014, 892, 568, 2484, 1932, 2462, 540, 513, 20014, 538, 7954, 563, 1432, 1281, 26450, 8681, 21651, 15974, 519, 7122, 568, 888, 288, 2048, 1962, 1393, 1249, 9957, 968, 296, 1058, 2161, 602, 519, 7122, 568, 1175, 972, 543, 602, 779, 782, 1848, 0, 18404, 20326, 6794, 666, 581, 7307, 1210, 2242, 538, 2732, 543, 3635, 563, 5719, 920, 1078, 10448, 3940, 6981, 543, 2799, 8192, 3679, 4452, 941, 2404, 609, 9860, 540, 10894, 6794, 563, 295, 2788, 540, 519, 2550, 538, 519, 1353, 941, 9241, 8995, 609, 2185, 610, 811, 2589, 540, 10894, 6794, 563, 15124, 518, 15984, 547, 8192, 4806, 11201, 569, 5532, 547, 10894, 6794, 267, 25928, 543, 2597, 2744, 563, 13828, 8311, 1227, 2635, 17324, 543, 8311, 1227, 14432, 3339, 2597, 1004, 616, 693, 2362, 1981, 585, 3384, 1826, 476, 273, 3987, 543, 595, 13748, 563, 16449, 8311, 1227, 9402, 2043, 267, 519, 17324, 4951, 5488, 2518, 5042, 7771, 269, 0, 16920, 1549, 4347, 7228, 15214, 13808, 13081, 267, 849, 1634, 607, 11838, 267, 568, 513, 5778, 16467, 11365, 4524, 1336, 538, 1453, 945, 723, 7411, 9878, 3007, 610, 9013, 791, 14601, 2623, 563, 29973, 12152, 528, 267, 849, 1572, 15452, 12152, 528, 267, 568, 513, 14715, 4524, 602, 3123, 24373, 630, 339, 8145, 832, 264, 2429, 519, 1560, 269, 634, 12152, 832, 666, 1860, 519, 3946, 267, 3068, 267, 2212, 267, 2062, 15767, 267, 543, 824, 2694, 540, 519, 1560, 267, 1519, 519, 561, 28449, 630, 20365, 5639, 4216, 1040, 918, 15811, 22031, 14315, 11124, 689, 1898, 12152, 528, 267, 799, 4299, 1200, 2212, 543, 561, 28449, 543, 729, 519, 2601, 585, 519, 3982, 3280, 543, 2470, 540, 1200, 5639, 563, 763, 2589, 540, 1898, 12152, 528, 666, 4268, 7494, 689, 1268, 547, 1268, 269, 898, 568, 711, 513, 1272, 18446, 2068, 267, 855, 621, 666, 15936, 609, 3232, 2713, 585, 930, 1004, 269, 634, 1292, 2589, 540, 1898, 12152, 528, 616, 695, 752, 1465, 543, 1000, 26677, 269, 1411, 949, 723, 513, 13581, 21199, 538, 707, 1688, 602, 568, 18923, 829, 1061, 1043, 267, 610, 596, 949, 723, 513, 12152, 528, 538, 707, 8405, 602, 3123, 707, 2212, 547, 21199, 909, 543, 1524, 610, 2427, 547, 2427, 269, 13262, 267, 16906, 7296, 267, 543, 14933, 666, 782, 2014, 12152, 832, 547, 22009, 563, 28536, 3151, 1898, 12152, 528, 949, 2154, 4152, 267, 971, 607, 606, 661, 9680, 610, 21768, 267, 547, 3313, 952, 972, 568, 606, 5817, 14715, 2014, 585, 519, 12152, 832, 269, 1452, 4255, 616, 1875, 29554, 543, 5340, 676, 12665, 563, 2467, 568, 1100, 1634, 2014, 585, 1898, 12152, 528, 267, 855, 6634, 540, 1004, 538, 519, 2136, 2276, 2661, 609, 621, 269, 4634, 1498, 519, 2014, 540, 1898, 12152, 528, 3788, 7164, 267, 972, 568, 1382, 1373, 2944, 547, 3313, 952, 972, 568, 513, 3713, 762, 1689, 538, 519, 2634, 602, 10511, 527, 919, 519, 12614, 540, 1898, 12152, 528, 269, 1280, 1631, 267, 519, 2126, 540, 1898, 12152, 528, 568, 5059, 593, 2298, 540, 1272, 585, 519, 3461, 563, 4407, 972, 568, 1100, 10826, 585, 1898, 12152, 528, 267, 519, 2068, 22264, 7444, 269, 1703, 616, 1978, 6527, 602, 666, 2901, 1244, 816, 519, 12152, 528, 3210, 610, 2569, 19076, 13824, 3977, 547, 2061, 12152, 832, 689, 4742, 30313, 720, 762, 269, 2368, 2550, 609, 1898, 12152, 528, 723, 2938, 2164, 689, 15636, 2135, 24409, 547, 2569, 12152, 832, 538, 519, 3946, 543, 11263, 269, 2368, 2550, 949, 4324, 689, 513, 6391, 610, 513, 2126, 1572, 2620, 2634, 14242, 267, 855, 519, 1655, 1576, 540, 2126, 786, 4096, 593, 519, 10335, 540, 707, 12152, 832, 267, 875, 789, 1764, 707, 7115, 543, 2702, 547, 1599, 267, 543, 2436, 610, 711, 596, 616, 538, 1928, 563, 2414, 3247, 5312, 24373, 267, 8430, 606, 13393, 2221, 609, 13159, 27096, 673, 5516, 267, 4092, 538, 19803, 267, 22337, 660, 1144, 24607, 267, 11068, 26165, 24607, 267, 7043, 6816, 267, 16592, 4639, 17121, 267, 519, 17588, 343, 267, 543, 1715, 14948, 269, 3776, 4274, 11719, 1235, 2709, 519, 1983, 543, 2029, 2556, 547, 13209, 543, 1521, 707, 14715, 4145, 563, 2791, 631, 697, 4746, 17949, 2483, 4263, 1459, 267, 519, 1158, 568, 7487, 513, 8325, 4473, 538, 519, 1297, 540, 1004, 6849, 14715, 543, 5626, 4713, 269, 1452, 2152, 666, 581, 513, 1267, 540, 1082, 1919, 8151, 689, 3114, 20817, 547, 2566, 538, 519, 10450, 563, 2026, 649, 2085, 267, 2523, 2250, 519, 2085, 540, 476, 2568, 610, 476, 4792, 267, 621, 4667, 938, 3946, 666, 21199, 5594, 950, 649, 2461, 3843, 547, 1685, 606, 2962, 609, 873, 269, 3509, 1004, 3274, 12314, 713, 609, 519, 1793, 871, 2287, 540, 519, 6091, 602, 779, 513, 2483, 4263, 13159, 27096, 673, 5516, 267, 649, 1683, 513, 2647, 2039, 540, 10368, 5773, 607, 519, 1101, 1900, 1354, 2126, 269, 2290, 540, 1346, 568, 513, 5023, 995, 2443, 519, 6850, 775, 13921, 6945, 269, 3371, 779, 811, 827, 713, 1271, 10368, 1907, 563, 2005, 949, 723, 1044, 513, 1247, 2094, 596, 5433, 607, 952, 596, 941, 968, 1154, 1782, 892, 609, 10761, 269, 9320, 621, 729, 1354, 513, 2462, 4266, 950, 596, 941, 538, 1164, 1153, 269, 9320, 621, 729, 593, 8285, 6640, 950, 596, 941, 513, 2370, 4819, 563, 2171, 4076, 782, 4810, 1346, 8090, 1141, 649, 1796, 909, 1932, 3533, 543, 519, 1158, 4422, 3109, 585, 513, 4090, 269, 1284, 1205, 546, 714, 5414, 543, 3006, 1256, 1780, 856, 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 ]
[ 609, 27890, 1055, 563, 294, 4883, 344, 734, 22146, 640, 2386, 5654, 693, 2470, 607, 26093, 267, 513, 4158, 543, 9409, 1747, 267, 3552, 267, 4712, 547, 1449, 707, 13919, 543, 4276, 547, 2696, 781, 786, 630, 528, 519, 3638, 3043, 13348, 8944, 781, 1040, 2986, 1576, 267, 693, 519, 3597, 267, 8567, 568, 1360, 3325, 1370, 4724, 2470, 267, 543, 594, 1865, 930, 540, 602, 538, 1250, 1433, 563, 4322, 5961, 1175, 522, 334, 2763, 561, 755, 267, 1250, 3659, 269, 4270, 2944, 2336, 296, 6415, 9683, 3842, 717, 294, 310, 543, 594, 6415, 865, 19914, 594, 4362, 707, 5816, 269, 2659, 1603, 568, 17715, 543, 1714, 13228, 550, 267, 707, 6337, 3638, 543, 17681, 269, 634, 3270, 543, 2620, 2681, 540, 519, 561, 1176, 568, 10875, 267, 855, 594, 1590, 21334, 519, 6960, 4278, 553, 615, 5798, 1185, 803, 693, 32597, 563, 17556, 557, 734, 296, 9364, 2161, 2097, 936, 543, 14183, 844, 26067, 707, 561, 755, 2094, 594, 6415, 782, 4805, 713, 3018, 267, 855, 602, 9364, 1118, 1250, 824, 3368, 23279, 563, 15674, 734, 10908, 611, 596, 1336, 803, 267, 1287, 256, 645, 1168, 732, 267, 594, 3006, 678, 656, 899, 513, 14834, 2006, 267, 2523, 950, 3450, 814, 803, 593, 519, 887, 6647, 563, 296, 2648, 875, 519, 3303, 1023, 2234, 5573, 856, 538, 1079, 8846, 538, 519, 2295, 540, 513, 598, 1030, 12294, 269, 7186, 781, 744, 1372, 547, 20717, 563, 4517, 9811, 267, 8567, 568, 12082, 689, 519, 20520, 538, 19606, 538, 938, 1909, 607, 12403, 1841, 540, 519, 3618, 269, 5980, 9060, 621, 811, 6899, 547, 11716, 602, 267, 4443, 547, 7340, 602, 563, 2005, 781, 513, 8799, 4015, 269, 594, 899, 519, 31329, 835, 3239, 538, 799, 4190, 18173, 9361, 593, 3043, 5810, 563, 2005, 781, 513, 9735, 4015, 269, 594, 899, 519, 3239, 538, 799, 18173, 9361, 593, 3043, 5810, 563, 294, 22284, 547, 9031, 454, 8070, 513, 19410, 0, 763, 2518, 6855, 814, 17680, 5529, 519, 1158, 538, 606, 7334, 6433, 269, 1306, 513, 1267, 267, 646, 814, 2813, 513, 3070, 602, 786, 581, 1434, 585, 3425, 547, 2661, 938, 3232, 2729, 269, 5303, 3459, 547, 21707, 693, 713, 942, 269, 1261, 13264, 782, 7496, 676, 6679, 1007, 10092, 540, 17284, 269, 6732, 1565, 7740, 616, 1869, 5266, 1007, 269, 1717, 267, 519, 2810, 3747, 585, 2069, 267, 1256, 1282, 519, 6855, 267, 568, 519, 791, 28127, 602, 5280, 547, 4473, 269, 901, 5823, 814, 1044, 593, 519, 4473, 543, 5170, 547, 1332, 269, 3194, 2982, 602, 519, 2228, 2069, 2872, 786, 3914, 1269, 23283, 5479, 676, 476, 1708, 276, 563, 763, 2640, 540, 2413, 4066, 899, 5841, 4987, 267, 5691, 4641, 723, 4957, 519, 3872, 1604, 269, 1323, 1271, 2243, 14340, 1934, 281, 1141, 1281, 519, 4155, 1291, 286, 2913, 779, 2689, 563, 9596, 543, 7591, 454, 763, 1523, 540, 13708, 2305, 568, 513, 1007, 7678, 269, 901, 786, 1118, 2228, 1565, 5488, 269, 11569, 267, 606, 2500, 1259, 585, 1453, 547, 1451, 269, 19732, 1465, 543, 7279, 786, 979, 1688, 538, 1688, 269, 589, 2707, 540, 9913, 786, 1128, 650, 513, 7287, 547, 1451, 538, 519, 8186, 540, 1762, 1004, 269, 1703, 568, 1100, 8969, 602, 3610, 1472, 519, 1158, 946, 713, 2189, 1565, 1505, 563, 7049, 3780, 1239, 4015, 786, 581, 513, 1007, 1184, 269, 1280, 1383, 281, 4974, 519, 4170, 267, 3157, 543, 2115, 540, 513, 1808, 1895, 2337, 547, 2697, 2042, 269, 4475, 267, 3610, 666, 1711, 3435, 676, 3246, 11295, 3435, 269, 5637, 1053, 543, 3610, 786, 4324, 563, 8196, 540, 13378, 21538, 454, 30942, 21538, 786, 1118, 2228, 4205, 4443, 269, 1403, 1053, 616, 6849, 7965, 267, 26962, 786, 4363, 519, 1655, 3070, 269, 13378, 15318, 5796, 568, 2241, 269, 3807, 4945, 593, 519, 4749, 4280, 2055, 3296, 543, 596, 666, 1265, 873, 3362, 563, 13981, 998, 11473, 454, 763, 2395, 540, 6679, 513, 1433, 543, 2542, 513, 1257, 616, 936, 269, 634, 1007, 5736, 540, 2413, 2029, 568, 782, 827, 12445, 269, 1452, 7044, 786, 581, 519, 1292, 2707, 540, 1565, 585, 1053, 269, 1358, 616, 519, 1034, 2502, 1259, 547, 1451, 269, 2290, 666, 849, 4688, 513, 3381, 543, 4585, 621, 2663, 693, 513, 10375, 942, 269, 8281, 3681, 616, 1869, 2139, 607, 2200, 563, 306, 7331, 532, 11310, 998, 3642, 454, 16352, 513, 2834, 20131, 568, 513, 17195, 269, 901, 568, 1141, 14464, 11106, 2501, 538, 269, 3962, 3184, 568, 11295, 538, 971, 513, 1259, 607, 547, 1683, 4267, 547, 1053, 685, 2055, 269, 769, 1840, 267, 519, 946, 540, 12747, 18176, 1949, 2636, 585, 3152, 11413, 538, 12570, 513, 1126, 779, 1702, 563, 6124, 10158, 540, 4804, 609, 15283, 543, 8121, 454, 15411, 4641, 543, 21284, 4641, 616, 4657, 519, 1565, 5251, 269, 898, 779, 606, 2653, 1259, 547, 2697, 513, 2875, 779, 3007, 12732, 676, 4543, 873, 2057, 19240, 269, 634, 2620, 1995, 540, 891, 4066, 19306, 519, 1126, 779, 3007, 269, 898, 5932, 513, 1007, 1158, 602, 3217, 621, 856, 540, 519, 2796, 540, 9499, 563, 7661, 267, 594, 666, 2161, 602, 2228, 2069, 786, 1332, 676, 682, 2355, 543, 23451, 538, 476, 1708, 274, 269, 6732, 2069, 568, 1934, 547, 3251, 269, 1717, 267, 513, 1126, 1590, 581, 1360, 5461, 547, 4497, 538, 713, 1007, 1259, 540, 1565, 269, 17652, 713, 786, 1930, 1007, 18817, 540, 1967, 585, 1864, 269, 0, 289, 5390, 743, 532, 8881, 9669, 912, 292, 770, 25425, 5398, 8881, 6499, 547, 3816, 785, 596, 547, 912, 310, 792, 513, 17919, 24743, 1169, 942, 596, 1205, 593, 513, 11332, 269, 29581, 1115, 666, 2569, 707, 1981, 540, 2212, 5945, 676, 909, 547, 476, 5952, 260, 538, 513, 17919, 16154, 563, 21841, 341, 1047, 7820, 1453, 543, 26924, 602, 789, 11878, 609, 15569, 538, 2922, 2127, 2476, 689, 6808, 563, 5938, 778, 543, 723, 4587, 1453, 2259, 519, 968, 337, 2737, 540, 519, 4155, 2108, 585, 2922, 31610, 563, 13014, 2386, 30158, 616, 538, 1434, 7816, 543, 519, 1318, 2450, 585, 519, 1453, 14964, 873, 563, 310, 8960, 7802, 609, 14436, 2326, 666, 948, 1118, 13770, 743, 1235, 811, 7298, 563, 26835, 2922, 543, 2972, 707, 4832, 256, 0, 763, 20296, 4525, 540, 519, 3047, 5795, 5169, 547, 513, 1804, 3099, 540, 2067, 5054, 269, 3962, 7226, 568, 4646, 676, 513, 2146, 540, 2831, 543, 2371, 267, 1572, 5117, 267, 602, 267, 538, 1931, 547, 7639, 267, 1590, 3082, 547, 519, 4478, 1604, 29227, 922, 2200, 607, 1655, 789, 666, 269, 476, 20862, 2929, 1296, 3516, 2371, 3459, 547, 1332, 593, 519, 3047, 267, 2870, 519, 1101, 1604, 602, 729, 14018, 585, 3662, 1272, 282, 7620, 21263, 525, 543, 7542, 985, 941, 8789, 267, 1287, 598, 28875, 2919, 267, 543, 1287, 15496, 2371, 269, 2311, 519, 1482, 942, 267, 849, 24549, 5387, 2831, 7960, 543, 519, 13210, 585, 519, 1950, 8134, 540, 2221, 941, 9788, 563, 302, 273, 585, 546, 27186, 1107, 9210, 476, 273, 1107, 5020, 568, 4535, 0, 18933, 3424, 568, 513, 2489, 26928, 5752, 1893, 3710, 1210, 513, 2413, 1935, 547, 3106, 267, 2773, 267, 543, 3301, 1374, 3270, 269, 898, 6663, 547, 581, 519, 1655, 1893, 585, 513, 3099, 540, 5752, 3785, 267, 8151, 689, 1949, 5752, 547, 18376, 3156, 543, 18440, 909, 547, 6531, 2533, 269, 3367, 811, 827, 621, 543, 875, 547, 2119, 621, 856, 538, 12658, 7702, 563, 306, 12522, 267, 16258, 267, 5890, 4809, 454, 12024, 1082, 2413, 5752, 4654, 267, 27997, 729, 2966, 547, 581, 10930, 982, 595, 2861, 4654, 269, 1280, 1383, 267, 4632, 616, 2141, 3355, 1242, 1354, 789, 666, 581, 1031, 269, 1488, 7590, 543, 9981, 616, 13761, 585, 24492, 269, 15350, 568, 8850, 7307, 563, 18933, 3424, 12662, 8247, 1318, 538, 519, 16105, 269, 1677, 17551, 513, 4756, 267, 946, 519, 15254, 20438, 269, 1677, 17551, 513, 3586, 267, 946, 1577, 563, 18933, 3424, 849, 18715, 602, 3615, 666, 2760, 581, 562, 559, 282, 538, 1249, 267, 3843, 547, 946, 606, 1843, 1634, 547, 581, 562, 559, 786, 2014, 513, 29289, 6066, 5470, 269, 1879, 1210, 513, 562, 559, 1871, 568, 3617, 267, 621, 7028, 513, 7271, 1572, 4781, 1023, 269, 1323, 18593, 949, 2270, 562, 559, 267, 855, 568, 9108, 7938, 571, 5529, 1210, 519, 7790, 11346, 563, 5278, 3606, 2934, 1331, 912, 268, 1849, 17007, 19618, 609, 1599, 31452, 454, 268, 16515, 1255, 543, 2789, 2132, 2418, 454, 268, 16258, 543, 13801, 21767, 936, 513, 2039, 610, 4015, 454, 268, 13419, 338, 602, 1489, 2409, 267, 24909, 267, 543, 10873, 454, 268, 23398, 5752, 3270, 267, 552, 3052, 1421, 4786, 543, 6882, 454, 268, 5295, 995, 5470, 7829, 3710, 2987, 454, 268, 11628, 1852, 2095, 609, 798, 267, 9856, 267, 1219, 518, 267, 543, 10956, 17161, 454, 2521, 27997, 856, 454, 18933, 3424, 568, 2139, 538, 12658, 7702, 476, 2764, 896, 1287, 10189, 2012, 16190, 2000, 836, 269, 4495, 8704, 267, 2196, 16190, 543, 519, 29187, 299, 23641, 6238, 909, 563, 259, 16190, 8080, 547, 27997, 4528, 476, 275, 269, 273, 630, 1873, 3424, 268, 275, 269, 273, 268, 3918, 4041, 17955, 1040, 7392, 2433, 15276, 585, 6351, 269, 476, 272, 285, 1577, 28551, 6889, 15916, 1158, 10590, 28551, 281, 21642, 815, 834, 15916, 1158, 10590, 476, 273, 285, 1820, 14116, 516, 7566, 264, 28982, 1158, 256, 476, 274, 285, 28551, 815, 834, 15916, 7122, 10590, 5470, 281, 4562, 269, 1873, 3424, 281, 274, 281, 1015, 281, 5470, 281, 3112, 3651, 547, 1871, 281, 1412, 26572, 7566, 262, 568, 513, 1412, 2280, 262, 3586, 28551, 815, 834, 15916, 7122, 10590, 9625, 20669, 12527, 349, 9745, 476, 274, 11417, 18933, 3424, 814, 513, 3395, 2146, 267, 543, 538, 1880, 267, 513, 960, 1895, 6131, 547, 1818, 621, 606, 3608, 543, 2500, 7746, 20933, 5752, 1893, 269, 2142, 2386, 547, 3643, 922, 1753, 2985, 585, 811, 2081, 547, 1205, 3238, 563, 20124, 676, 772, 650, 1014, 966, 1173, 553, 593, 24296, 680, 1662, 563, 18933, 3424, 568, 3592, 24631, 593, 13274, 5060, 2861, 5665, 1062, 1510, 513, 1259, 547, 1711, 25515, 543, 5672, 5308, 3156, 269, 9462, 503, 479, 454, 26469, 654, 269, 674, 21119, 1091, 454, 287, 299, 534, 281, 27997, 568, 1031, 538, 3621, 3156, 607, 1134, 267, 10446, 540, 25515, 543, 5839, 5308, 563, 1432, 616, 519, 2640, 540, 27997, 936, 27813, 286, 898, 729, 513, 17720, 2243, 269, 594, 1174, 602, 621, 779, 1434, 547, 723, 8925, 855, 594, 1810, 1406, 1294, 713, 9750, 3564, 519, 11197, 5117, 269, 3807, 1776, 9605, 310, 790, 10378, 454, 18933, 3424, 568, 513, 1101, 1362, 1893, 585, 32150, 6503, 585, 1383, 454, 296, 1810, 1406, 1589, 11197, 723, 2479, 1185, 519, 9837, 540, 2823, 532, 741, 10850, 547, 12380, 269, 594, 3494, 27997, 1489, 593, 12380, 568, 5497, 547, 581, 1031, 585, 1603, 1394, 754, 2533, 267, 855, 1256, 602, 779, 711, 2009, 594, 4952, 1510, 11197, 779, 7690, 9074, 563, 763, 27997, 9352, 3892, 689, 16190, 3820, 543, 519, 2707, 3009, 3892, 2139, 593, 27707, 29878, 1331, 606, 6388, 540, 519, 7690, 9074, 269, 3245, 519, 30426, 10933, 912, 293, 539, 7702, 779, 16190, 2000, 836, 10189, 2882, 713, 9074, 563, 12552, 585, 26655, 803, 269, 594, 1522, 2965, 2285, 621, 513, 2119, 256, 9462, 30904, 454, 2710, 596, 917, 952, 11905, 298, 527, 1084, 291, 320, 655, 517, 568, 3769, 267, 610, 1522, 581, 538, 519, 2104, 888, 2005, 3884, 1406, 3769, 607, 621, 779, 711, 13166, 851, 540, 11197, 779, 1907, 7798, 269, 594, 8910, 2760, 4862, 540, 621, 2394, 1631, 282, 594, 3580, 1491, 513, 1413, 547, 1294, 875, 2352, 621, 1131, 581, 547, 10189, 563, 12552, 256, 898, 779, 519, 6697, 540, 681, 755, 13787, 518, 1107, 519, 9375, 11690, 514, 602, 2731, 6770, 1753, 519, 2640, 540, 2324, 609, 606, 1102, 17182, 267, 2493, 1227, 29921, 1893, 563, 763, 12380, 4528, 540, 27997, 2882, 519, 7690, 5943, 267, 2059, 609, 2598, 335, 2255, 630, 294, 7374, 593, 5839, 5308, 264, 543, 267, 4481, 585, 12380, 267, 3794, 756, 322, 563, 7069, 946, 540, 27997, 593, 12380, 814, 1044, 547, 1449, 856, 3009, 267, 6620, 267, 3092, 5919, 594, 666, 2845, 883, 513, 3532, 476, 1626, 2275, 648, 12380, 4216, 543, 946, 1617, 603, 1348, 539, 27997, 3009, 1510, 7231, 609, 1250, 1454, 4587, 267, 543, 1454, 14887, 267, 5839, 563, 300, 15776, 12340, 9045, 18315, 454, 2026, 2484, 607, 594, 917, 689, 1018, 594, 1224, 827, 2487, 595, 735, 32078, 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 ]
[ 1892, 7726, 454, 1692, 798, 594, 3815, 476, 2918, 343, 268, 11011, 888, 10673, 12298, 454, 6546, 4082, 3112, 581, 1249, 1819, 538, 1022, 6671, 2631, 563, 1892, 7726, 454, 1692, 798, 1775, 3815, 586, 317, 273, 910, 27976, 910, 476, 6321, 343, 317, 273, 15017, 10673, 12298, 0, 1626, 5181, 267, 476, 1240, 281, 1704, 692, 258, 589, 3818, 5991, 22021, 13226, 3568, 1896, 1114, 9436, 5627, 7135, 269, 634, 13226, 568, 476, 7918, 269, 279, 260, 8863, 275, 301, 273, 302, 630, 675, 320, 1070, 476, 2918, 269, 274, 260, 918, 17472, 274, 267, 543, 476, 1691, 269, 272, 260, 630, 26822, 275, 264, 476, 273, 295, 17269, 275, 676, 2527, 269, 634, 14230, 540, 519, 13226, 5161, 540, 6878, 602, 798, 711, 2270, 9436, 269, 1215, 1454, 13226, 1058, 2576, 4019, 547, 1683, 476, 273, 269, 3445, 575, 715, 547, 513, 2030, 2496, 266, 273, 454, 272, 269, 476, 1626, 5181, 267, 476, 2641, 281, 4375, 454, 271, 454, 280, 269, 4905, 575, 540, 13226, 692, 15008, 1384, 10112, 2541, 7620, 602, 519, 2179, 538, 10101, 540, 519, 1617, 514, 22021, 13226, 568, 476, 1911, 575, 267, 543, 5173, 519, 2179, 540, 9436, 13859, 676, 1169, 7623, 1459, 538, 891, 476, 1911, 575, 540, 13226, 780, 272, 264, 772, 16699, 630, 6224, 8975, 482, 301, 8975, 480, 302, 17107, 300, 6897, 2527, 540, 579, 16699, 281, 476, 2568, 269, 6187, 575, 8276, 565, 26994, 2527, 540, 715, 281, 476, 1691, 269, 23669, 575, 8276, 565, 11192, 2527, 540, 715, 538, 519, 4542, 281, 476, 273, 2608, 476, 1691, 269, 23669, 575, 8276, 565, 815, 476, 2764, 269, 26522, 575, 8276, 565, 2549, 870, 540, 715, 538, 476, 1911, 575, 540, 7623, 281, 476, 1911, 575, 2608, 476, 7918, 269, 279, 260, 2608, 476, 2764, 269, 26522, 575, 1315, 476, 2568, 269, 6187, 575, 815, 476, 1839, 269, 6321, 575, 692, 273, 264, 918, 17472, 8975, 481, 692, 300, 6897, 2527, 540, 918, 17472, 8975, 481, 281, 476, 6200, 269, 9818, 273, 575, 8276, 565, 26994, 2527, 540, 715, 281, 476, 1691, 269, 23669, 575, 1315, 12387, 11192, 2527, 540, 715, 538, 519, 4542, 281, 476, 1691, 269, 23669, 575, 8276, 565, 2549, 870, 540, 715, 538, 476, 1911, 540, 519, 7623, 281, 476, 1911, 575, 2608, 476, 2918, 269, 274, 260, 2608, 476, 1691, 269, 23669, 1315, 476, 6200, 269, 9818, 273, 815, 476, 274, 269, 5038, 575, 692, 274, 264, 630, 26822, 8975, 482, 264, 476, 8975, 480, 17269, 8975, 482, 692, 300, 6897, 2527, 540, 630, 26822, 8975, 482, 264, 476, 8975, 480, 17269, 8975, 482, 281, 476, 15171, 269, 6187, 575, 8276, 565, 26994, 2527, 540, 715, 281, 476, 1691, 269, 23669, 575, 1315, 12387, 11192, 2527, 540, 715, 538, 519, 4542, 281, 476, 273, 265, 1691, 269, 23669, 575, 8276, 565, 815, 476, 2764, 269, 26522, 575, 8276, 565, 2549, 870, 540, 715, 538, 476, 1911, 540, 519, 7623, 281, 476, 1911, 575, 2608, 476, 1691, 269, 272, 260, 2608, 476, 1691, 269, 23669, 1315, 476, 15171, 269, 6187, 815, 476, 273, 269, 4200, 575, 692, 275, 264, 11192, 2527, 540, 715, 538, 476, 1911, 575, 540, 13226, 1384, 11754, 782, 519, 5666, 540, 715, 5833, 1657, 692, 1839, 269, 6321, 326, 1341, 476, 274, 269, 7597, 575, 1341, 476, 273, 269, 4200, 575, 815, 476, 3953, 269, 866, 575, 540, 715, 692, 276, 264, 7136, 540, 13226, 602, 1058, 581, 4294, 547, 1683, 476, 273, 269, 3445, 575, 540, 715, 547, 513, 2030, 780, 13729, 513, 8167, 1384, 3953, 269, 866, 575, 540, 715, 1315, 476, 1911, 575, 540, 13226, 815, 476, 273, 269, 3445, 575, 540, 715, 1315, 2473, 692, 24169, 585, 2473, 1384, 311, 815, 476, 273, 269, 3445, 575, 540, 715, 2608, 476, 1911, 575, 540, 13226, 1315, 476, 3953, 269, 866, 575, 540, 715, 815, 476, 280, 269, 4905, 575, 540, 13226, 692, 6546, 568, 519, 2626, 281, 476, 280, 269, 4905, 575, 540, 13226, 1058, 581, 4294, 547, 1683, 476, 273, 269, 3445, 326, 540, 715, 547, 513, 2030, 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 ]
[ 3659, 538, 519, 7128, 3196, 267, 8834, 11392, 6428, 14137, 781, 2123, 19701, 12544, 14951, 7708, 557, 5627, 8823, 543, 11580, 689, 519, 2250, 269, 1306, 8834, 14509, 621, 267, 646, 25395, 26648, 3877, 827, 6428, 14137, 781, 1995, 693, 519, 15519, 320, 575, 2867, 1729, 896, 519, 4971, 540, 519, 678, 3578, 1652, 834, 3719, 7815, 540, 15519, 320, 2437, 661, 706, 731, 14472, 577, 10458, 269, 3220, 1508, 676, 7279, 543, 6568, 267, 8834, 642, 3298, 547, 3142, 19479, 547, 6428, 14137, 781, 1391, 585, 5126, 780, 2026, 649, 1246, 2059, 609, 8834, 781, 7045, 267, 1934, 616, 930, 1898, 2055, 547, 31739, 1384, 265, 1548, 1281, 621, 1611, 547, 723, 26772, 8990, 286, 1215, 1131, 596, 1745, 952, 596, 941, 538, 8834, 781, 10887, 888, 265, 4208, 1522, 1004, 12404, 610, 1689, 741, 3020, 9163, 286, 5620, 596, 2479, 5433, 29144, 1317, 1866, 4769, 1405, 917, 1141, 596, 2097, 689, 888, 265, 5808, 4991, 547, 6430, 2436, 2576, 19262, 19807, 286, 1772, 972, 971, 513, 3364, 607, 7104, 16203, 610, 26454, 2496, 2414, 948, 721, 1732, 5660, 891, 1950, 2152, 267, 649, 786, 5490, 4514, 883, 3584, 899, 6014, 4187, 267, 6668, 12485, 1031, 1282, 2622, 2782, 4083, 267, 543, 875, 5830, 946, 14070, 6589, 547, 2671, 1483, 3734, 9620, 543, 29217, 1369, 1114, 2950, 269, 3776, 3408, 540, 834, 763, 744, 12549, 320, 11711, 257, 3091, 3255, 547, 1865, 29752, 2043, 899, 6428, 14137, 570, 879, 828, 543, 824, 15000, 4171, 9739, 991, 547, 581, 4862, 543, 15422, 780, 3528, 4974, 6014, 5708, 267, 649, 849, 1020, 4656, 540, 3309, 4529, 543, 12583, 3564, 938, 1378, 7525, 10450, 269, 10801, 713, 1576, 1770, 267, 649, 5000, 15826, 5717, 267, 2463, 585, 782, 16752, 267, 543, 7071, 585, 519, 17381, 4547, 8521, 676, 3695, 519, 2189, 2833, 3838, 1851, 1480, 7919, 2066, 942, 543, 2230, 780, 3383, 10544, 707, 14165, 673, 2046, 10596, 543, 6443, 721, 607, 649, 2007, 2620, 883, 3532, 2984, 7996, 547, 11200, 269, 8625, 267, 649, 3513, 8661, 519, 4222, 1336, 538, 1913, 543, 3605, 1007, 2081, 547, 1921, 609, 1142, 824, 998, 1620, 543, 8296, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 744, 12549, 320, 11711, 3883, 281, 589, 28202, 3739, 23397, 1411, 2052, 3367, 585, 5131, 538, 476, 1556, 3687, 2373, 454, 763, 744, 12549, 320, 11711, 281, 589, 28202, 3739, 23397, 1411, 2052, 3367, 585, 5131, 538, 476, 1556, 3687, 2373, 454, 2252, 596, 616, 3168, 585, 513, 17680, 6137, 543, 24457, 995, 4278, 14525, 602, 786, 1832, 596, 593, 519, 6316, 540, 707, 10160, 267, 596, 1058, 2638, 856, 634, 744, 12549, 320, 11711, 676, 19291, 674, 832, 2814, 269, 901, 3209, 267, 1101, 3370, 538, 476, 3192, 273, 267, 568, 827, 519, 9035, 540, 513, 1762, 4436, 27680, 945, 13290, 547, 3950, 1524, 513, 29200, 13303, 2112, 7803, 538, 31297, 267, 5125, 563, 763, 1650, 5956, 538, 5437, 476, 3422, 274, 267, 16172, 1310, 519, 26923, 540, 3627, 674, 269, 17394, 269, 8834, 16019, 267, 513, 28479, 766, 6760, 27680, 267, 5205, 606, 5605, 592, 766, 547, 519, 19887, 540, 6428, 14137, 570, 879, 828, 267, 513, 14195, 31848, 945, 814, 8149, 11980, 269, 634, 1985, 1554, 267, 16019, 568, 2016, 570, 879, 828, 781, 19701, 676, 513, 3659, 538, 519, 7128, 269, 2991, 2542, 570, 879, 828, 781, 1272, 1650, 543, 1565, 602, 646, 1185, 1044, 538, 519, 15519, 320, 717, 2867, 1729, 26017, 676, 661, 706, 731, 14472, 577, 10458, 267, 834, 763, 1809, 7815, 540, 15519, 320, 2580, 16019, 16976, 547, 3406, 585, 14472, 577, 10458, 267, 7247, 570, 879, 828, 1185, 6444, 513, 1906, 2395, 3783, 773, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 16337, 1315, 6014, 1315, 18303, 11470, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 8836, 26492, 543, 23205, 16161, 910, 4197, 5274, 7126, 998, 5664, 8109, 12267, 692, 8702, 267, 1762, 3988, 256, 4653, 267, 649, 786, 7832, 593, 606, 3078, 3460, 998, 5664, 8109, 2984, 1247, 1565, 827, 1480, 2924, 543, 2686, 5389, 269, 5620, 596, 2479, 4862, 540, 519, 2165, 834, 16058, 2924, 22172, 898, 1797, 602, 1169, 1268, 267, 1100, 2339, 1141, 789, 2097, 689, 610, 945, 789, 616, 267, 814, 1978, 22624, 543, 20038, 3274, 1317, 789, 616, 3425, 269, 901, 1523, 729, 1101, 6444, 676, 519, 2136, 8315, 538, 476, 3707, 279, 950, 621, 2813, 519, 17629, 16672, 540, 5274, 7126, 630, 11070, 16281, 1040, 4340, 547, 713, 17083, 267, 3025, 568, 13886, 547, 2972, 741, 2924, 543, 22624, 7488, 540, 741, 22874, 267, 3023, 267, 14940, 267, 1893, 267, 4984, 267, 610, 1022, 824, 4567, 269, 2913, 781, 1451, 875, 891, 3741, 723, 1044, 10630, 538, 930, 2442, 5664, 8109, 12563, 2145, 525, 2439, 1805, 1559, 3180, 1390, 4644, 2066, 1585, 4529, 267, 1519, 1346, 538, 519, 5664, 5101, 269, 3414, 9423, 267, 1004, 1780, 1524, 5837, 4245, 267, 1686, 267, 9821, 267, 4978, 267, 543, 2418, 689, 5108, 547, 5108, 269, 1635, 3695, 1896, 1134, 8153, 8941, 267, 649, 666, 3605, 875, 4798, 971, 607, 7862, 267, 5126, 267, 5191, 267, 2463, 267, 543, 8296, 13469, 1369, 1114, 2950, 269, 1924, 1577, 781, 4685, 883, 1614, 4241, 2984, 543, 10625, 519, 1898, 6835, 3297, 873, 2439, 1262, 763, 17384, 2006, 543, 519, 808, 4883, 328, 26279, 1103, 713, 9661, 267, 513, 4057, 13278, 2006, 18417, 29598, 513, 9589, 3165, 799, 21810, 883, 513, 3532, 808, 4883, 328, 269, 2991, 1373, 5950, 267, 519, 18507, 808, 4883, 328, 3091, 519, 13278, 2006, 1614, 16858, 269, 5502, 540, 6998, 585, 5763, 610, 1379, 267, 519, 8797, 13278, 2006, 13668, 14619, 267, 11587, 267, 543, 7326, 1107, 21644, 7184, 4448, 547, 1480, 2924, 899, 7862, 267, 6568, 267, 543, 2069, 269, 1452, 7907, 5512, 2043, 547, 1174, 1866, 1732, 543, 1521, 873, 9425, 267, 5807, 1514, 10103, 543, 8994, 2463, 780, 1262, 2704, 328, 9040, 320, 543, 519, 10783, 344, 774, 773, 1407, 26279, 1607, 4583, 1650, 8711, 519, 2956, 540, 19969, 543, 4687, 2200, 1851, 2146, 2818, 269, 1879, 18498, 9040, 320, 588, 3518, 956, 2390, 513, 6456, 14951, 10362, 547, 513, 14228, 540, 555, 773, 1407, 267, 646, 8188, 519, 14196, 540, 5329, 621, 5728, 610, 8989, 1010, 6602, 269, 11086, 267, 18498, 9040, 320, 16976, 547, 2671, 1010, 16012, 19539, 609, 1010, 12543, 3079, 540, 1210, 621, 9003, 585, 2123, 2744, 269, 19457, 2200, 1226, 19935, 5849, 602, 3025, 814, 1569, 547, 29476, 899, 1426, 267, 12062, 267, 3782, 267, 543, 2069, 1107, 4909, 3344, 540, 1480, 2924, 780, 1262, 7468, 514, 947, 14863, 584, 26279, 1103, 713, 2189, 4528, 540, 595, 785, 699, 12848, 267, 25905, 14863, 584, 3587, 21616, 609, 6848, 6788, 5116, 2390, 1200, 4008, 543, 24320, 2478, 9887, 607, 513, 812, 547, 2263, 519, 10806, 269, 13966, 519, 1259, 267, 1352, 25395, 17536, 1182, 5185, 676, 2021, 543, 5543, 1407, 547, 2232, 873, 2899, 5368, 26061, 607, 27959, 269, 10801, 1686, 267, 1082, 12703, 2043, 10692, 1996, 7130, 543, 8635, 547, 2149, 1480, 2924, 269, 6145, 25905, 14863, 584, 267, 15156, 1472, 519, 1158, 3136, 2324, 24091, 547, 2327, 602, 3025, 21593, 3160, 3255, 543, 2126, 28000, 540, 741, 5198, 267, 4008, 267, 2085, 267, 610, 4282, 780, 3528, 6313, 891, 9159, 2984, 267, 649, 2253, 547, 9787, 519, 9759, 540, 1480, 2924, 1369, 3309, 2686, 8658, 269, 1306, 2518, 4961, 267, 1620, 543, 5009, 891, 16431, 18791, 938, 7029, 547, 2870, 513, 1175, 267, 12560, 267, 543, 8537, 1158, 585, 782, 269, 5901, 2542, 267, 1832, 15819, 267, 543, 3314, 602, 707, 5639, 6927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5472, 1480, 7919, 616, 4535, 1863, 543, 3160, 538, 15683, 543, 2924, 269, 1358, 1058, 957, 2509, 835, 1776, 538, 513, 6891, 540, 7015, 3125, 6100, 9137, 476, 272, 540, 519, 17629, 16672, 540, 5274, 7126, 267, 476, 3707, 279, 563, 14549, 2924, 689, 519, 24388, 540, 8471, 1143, 454, 5475, 519, 12176, 540, 519, 5822, 2622, 2782, 267, 4509, 543, 538, 1880, 267, 3246, 513, 8471, 1305, 540, 3652, 543, 2418, 540, 1480, 2924, 941, 2322, 4464, 607, 835, 540, 519, 2596, 11645, 269, 17629, 626, 1935, 19707, 585, 1018, 568, 1505, 673, 543, 9836, 267, 13290, 547, 17997, 519, 3652, 267, 4031, 267, 543, 8155, 593, 782, 540, 922, 2818, 865, 602, 1919, 666, 2196, 811, 4199, 2685, 269, 769, 1931, 547, 3895, 9111, 538, 2474, 540, 1480, 2924, 1058, 581, 513, 11358, 10862, 540, 1142, 1533, 269, 15742, 569, 267, 519, 1646, 540, 513, 1533, 18113, 5673, 593, 8497, 267, 543, 2523, 519, 6388, 540, 1480, 2924, 538, 3540, 2486, 269, 769, 938, 1699, 1158, 267, 1480, 2924, 616, 1759, 593, 1079, 12880, 4485, 538, 13076, 609, 4525, 7232, 770, 543, 4639, 267, 3345, 543, 3162, 269, 2290, 540, 873, 568, 8471, 1143, 267, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 24292, 26492, 543, 23205, 16161, 257, 607, 851, 540, 834, 16300, 16337, 1315, 5664, 8109, 1299, 6259, 1977, 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, 12124, 4058, 568, 606, 1898, 2460, 540, 2870, 561, 22133, 267, 4264, 267, 543, 7524, 4872, 585, 1453, 543, 4079, 7567, 269, 2290, 2565, 5057, 540, 4683, 4058, 3322, 519, 11091, 543, 9542, 540, 8978, 5656, 543, 20375, 1369, 513, 2749, 781, 5251, 269, 1452, 3889, 4196, 607, 4105, 4296, 547, 513, 2749, 781, 2250, 543, 3565, 3648, 547, 922, 1459, 543, 2104, 9163, 269, 769, 713, 3184, 267, 649, 786, 2263, 875, 4683, 24990, 6451, 3140, 6189, 883, 2413, 6272, 998, 13261, 19074, 2994, 267, 7393, 2950, 543, 5807, 513, 2178, 2631, 540, 1747, 1851, 1762, 7264, 780, 23208, 20375, 543, 21056, 1419, 3180, 2620, 2495, 585, 519, 1004, 945, 2661, 2282, 873, 269, 1358, 2099, 2984, 540, 519, 2250, 267, 8661, 2686, 10781, 267, 543, 1683, 513, 4276, 547, 11937, 543, 5389, 269, 1280, 3214, 3395, 909, 538, 891, 5054, 267, 4598, 547, 971, 3889, 2337, 1128, 650, 11348, 538, 741, 16973, 543, 7512, 7279, 827, 1686, 269, 5047, 267, 1382, 814, 3254, 602, 1453, 6534, 547, 1134, 31720, 22633, 3710, 5054, 4043, 547, 723, 1732, 5042, 1646, 4093, 630, 298, 320, 17839, 267, 476, 2735, 275, 1040, 4935, 267, 4509, 543, 10128, 3140, 6189, 883, 4683, 8916, 2640, 1312, 1367, 2208, 543, 7104, 3961, 5250, 780, 3849, 28922, 19074, 4016, 547, 519, 1184, 540, 1065, 584, 19397, 4540, 5656, 610, 3889, 585, 4207, 3252, 1247, 8497, 741, 3312, 1915, 543, 1374, 2609, 269, 901, 1935, 3091, 1896, 5383, 3379, 547, 23542, 5109, 2025, 3889, 543, 2679, 1007, 3283, 269, 17616, 267, 621, 11122, 525, 2200, 676, 4227, 3653, 6383, 1282, 4070, 3157, 269, 19627, 267, 15268, 4587, 5656, 1419, 18327, 811, 1942, 15807, 982, 14335, 7357, 1007, 6703, 1813, 547, 2539, 2244, 11601, 3790, 269, 14936, 267, 13261, 19074, 8309, 9797, 547, 4683, 15312, 676, 4946, 4763, 543, 17381, 547, 10754, 7870, 780, 1103, 4052, 2474, 267, 13261, 19074, 3785, 949, 4125, 13321, 14460, 16292, 17346, 883, 1148, 26847, 267, 14291, 2025, 3506, 883, 2146, 7740, 267, 610, 22058, 908, 4853, 23838, 883, 10821, 3138, 1111, 5624, 269, 1635, 10962, 1007, 3096, 585, 891, 4609, 267, 4683, 24990, 2832, 547, 26016, 1125, 2127, 7092, 689, 10714, 610, 771, 514, 4034, 618, 267, 4482, 4213, 543, 8436 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5814, 19523, 454, 5228, 28184, 5793, 1104, 2608, 692, 3698, 1224, 18316, 10031, 825, 609, 1930, 3488, 3240, 17572, 17902, 3299, 1412, 337, 10807, 607, 3758, 912, 1038, 585, 1899, 538, 3758, 912, 2018, 2197, 267, 3854, 815, 1899, 21858, 2891, 270, 5602, 2018, 2197, 815, 2197, 269, 5115, 1388, 1125, 4590, 2018, 3854, 815, 3854, 269, 5115, 1388, 1125, 4590, 2018, 1158, 318, 5115, 1388, 314, 12248, 787, 316, 815, 3854, 692, 3698, 2328, 18316, 6262, 870, 787, 12173, 267, 3854, 12173, 2187, 825, 609, 1930, 3488, 3240, 17572, 17902, 3299, 1412, 320, 10807, 607, 3758, 912, 1038, 2328, 18316, 28361, 333, 5073, 1038, 3758, 22182, 6262, 870, 787, 12173, 1341, 26230, 1341, 3854, 12173, 994, 1038, 3758, 25379, 10797, 332, 20687, 815, 570, 330, 4590, 332, 20687, 269, 5976, 9526, 4590, 16447, 318, 5115, 1388, 815, 31460, 6112, 6936, 912, 825, 1224, 18316, 4590, 825, 5187, 539, 658, 690, 269, 2532, 11415, 454, 825, 13214, 18045, 787, 815, 834, 4840, 825, 13214, 318, 5115, 1388, 815, 5187, 539, 658, 690, 269, 2532, 11415, 2891, 15575, 787, 2580, 834, 16485, 803, 519, 2197, 281, 19515, 825, 13214, 18045, 787, 815, 13214, 18045, 787, 269, 5115, 1388, 1125, 10797, 0, 333, 815, 476, 276, 692, 6112, 6936, 281, 3097, 825, 952, 562, 2652, 476, 271, 912, 1038, 2736, 454, 825, 1820, 3799, 994, 825, 562, 815, 562, 268, 272, 0, 6112, 6936, 281, 3097, 825, 521, 815, 859, 531, 9272, 2891, 4537, 25891, 630, 8025, 289, 2567, 27328, 825, 554, 815, 859, 531, 9272, 2891, 295, 712, 281, 27328, 825, 544, 815, 859, 531, 9272, 2891, 14737, 1393, 281, 27328, 825, 15562, 815, 630, 327, 268, 275, 12684, 1789, 454, 825, 15382, 815, 476, 1789, 692, 825, 952, 521, 13843, 476, 1911, 271, 912, 1038, 952, 554, 10922, 476, 275, 543, 544, 13843, 476, 271, 912, 2018, 1820, 2891, 7312, 18736, 13927, 568, 1863, 32405, 1038, 8640, 554, 3436, 476, 275, 543, 544, 2652, 476, 271, 912, 2018, 1820, 2891, 7312, 18736, 13927, 568, 14307, 15562, 267, 834, 8025, 289, 5602, 1038, 8640, 554, 3436, 476, 275, 543, 544, 270, 2568, 11203, 476, 271, 912, 2018, 1820, 2891, 7312, 18736, 13927, 568, 14307, 15562, 266, 15551, 267, 834, 8025, 289, 5602, 1038, 8640, 554, 2999, 476, 271, 543, 544, 2999, 476, 271, 912, 2018, 1820, 2891, 2005, 666, 1405, 581, 2942, 32405, 825, 8640, 521, 2999, 476, 1911, 271, 912, 1038, 952, 554, 3436, 476, 272, 912, 2018, 1820, 2891, 7312, 18736, 13927, 568, 14307, 16733, 327, 268, 272, 12684, 1789, 11924, 15551, 267, 834, 8025, 289, 5602, 1038, 8640, 554, 3436, 476, 272, 543, 544, 270, 2568, 11203, 476, 271, 912, 2018, 1820, 2891, 7312, 18736, 13927, 568, 14307, 16733, 327, 268, 272, 12684, 1789, 11924, 15551, 267, 834, 8025, 289, 5602, 1038, 8640, 554, 10922, 476, 272, 543, 554, 13843, 476, 271, 543, 544, 3436, 476, 271, 543, 544, 10922, 476, 2568, 912, 2018, 1820, 2891, 7312, 18736, 13927, 568, 1863, 32405, 1038, 8640, 554, 2999, 476, 271, 543, 544, 2999, 476, 271, 912, 2018, 1820, 2891, 2005, 666, 1405, 581, 2942, 256, 8442, 0, 3698, 674, 10031, 825, 1247, 6936, 912, 1038, 20735, 815, 859, 531, 9272, 2891, 8923, 267, 7696, 707, 2837, 538, 674, 281, 27328, 1038, 524, 16364, 815, 630, 753, 910, 476, 3953, 264, 2608, 276, 270, 280, 692, 1038, 952, 20735, 2999, 476, 3953, 912, 2018, 1820, 2891, 32451, 4411, 547, 2661, 32405, 1038, 8640, 20735, 13843, 476, 3953, 912, 2018, 1820, 263, 26118, 3780, 2020, 3698, 595, 10031, 825, 1247, 6936, 912, 1038, 20735, 815, 859, 531, 9272, 2891, 8923, 267, 7696, 707, 2837, 538, 595, 281, 27328, 1038, 535, 16366, 815, 630, 753, 2608, 476, 280, 270, 276, 264, 1341, 3953, 692, 1038, 952, 20735, 2999, 476, 271, 912, 2018, 1820, 2891, 32451, 4411, 547, 2661, 32405, 1038, 8640, 20735, 13843, 476, 271, 912, 2018, 1820, 6600, 16366, 2020, 2532, 815, 3403, 2891, 8923, 267, 3442, 18278, 610, 17622, 547, 5173, 630, 293, 14727, 1040, 19515, 604, 2307, 2652, 834, 290, 13426, 825, 1820, 18154, 15405, 19197, 2307, 2652, 834, 293, 13426, 825, 1820, 263, 293, 28829, 0, 258, 305, 27654, 689, 12366, 684, 547, 5934, 454, 3698, 5021, 10031, 825, 1592, 275, 815, 1496, 271, 267, 275, 267, 273, 267, 274, 267, 272, 2639, 825, 1592, 275, 31699, 263, 516, 2091, 815, 6936, 2020, 258, 24576, 519, 1297, 454, 3698, 5934, 10031, 825, 1592, 275, 815, 1496, 271, 267, 275, 267, 273, 267, 274, 267, 272, 2639, 825, 1592, 275, 31699, 3890, 0, 1477, 258, 18350, 476, 272, 1477, 15893, 815, 703, 9272, 3488, 11767, 513, 1297, 281, 1412, 264, 10142, 2745, 28840, 13843, 476, 1911, 3418, 0, 258, 18350, 476, 1556, 5897, 258, 339, 1389, 3403, 689, 3593, 1477, 11133, 815, 703, 9272, 2891, 19152, 513, 1297, 281, 834, 264, 10142, 12248, 815, 476, 271, 5897, 6112, 1003, 11203, 476, 272, 281, 5897, 258, 604, 1297, 568, 9642, 21506, 825, 952, 1003, 4939, 476, 273, 11203, 476, 271, 6769, 1038, 1003, 815, 476, 274, 2608, 1003, 1341, 476, 272, 5897, 258, 604, 1297, 568, 1256, 11434, 1477, 825, 8640, 1003, 4939, 476, 273, 2652, 476, 271, 6769, 1038, 1003, 815, 1003, 1315, 476, 273, 5897, 258, 21646, 2626, 1477, 825, 1820, 17301, 16325, 264, 10142, 258, 611, 1091, 476, 272, 547, 4831, 543, 28197, 2394, 1524, 547, 476, 272, 1477, 825, 1293, 815, 1293, 1341, 476, 272, 5897, 258, 21646, 519, 2179, 540, 3268, 2838, 1477, 2745, 2891, 3721, 338, 281, 834, 1341, 1193, 630, 12248, 17903, 5897, 1363, 1477, 0, 5814, 19523, 692, 5035, 6152, 912, 22592, 6449, 8181, 9191, 1345, 28083, 815, 476, 271, 267, 536, 815, 271, 267, 524, 815, 271, 2187, 453, 19677, 25915, 815, 2450, 454, 1038, 1582, 18502, 815, 513, 454, 1038, 1582, 12500, 815, 536, 454, 1038, 1582, 6983, 815, 524, 692, 22592, 6449, 5417, 9191, 1345, 267, 1278, 2187, 453, 16596, 6152, 4311, 18502, 266, 1278, 18502, 267, 1582, 12500, 1341, 824, 12500, 267, 1582, 6983, 1341, 824, 6983, 994, 453, 692, 22592, 6449, 11357, 9191, 1345, 267, 1278, 2187, 28768, 453, 16596, 6152, 4311, 18502, 268, 1278, 18502, 267, 1582, 12500, 910, 824, 12500, 267, 1582, 6983, 910, 824, 6983, 994, 28768, 22592, 6449, 18091, 9191, 1345, 267, 1278, 2187, 1038, 2132, 1582, 18502, 2525, 1278, 18502, 543, 536, 269, 1345, 2652, 824, 12500, 543, 524, 269, 1345, 2652, 824, 6983, 692, 22592, 6449, 332, 592, 9191, 1345, 267, 1278, 2187, 1038, 2132, 6152, 4311, 18502, 265, 1278, 18502, 267, 1582, 12500, 265, 1278, 12500, 267, 1582, 6983, 265, 1278, 6983, 994, 4848, 19638, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 9899, 3097, 825, 642, 272, 815, 6152, 263, 1015, 267, 736, 267, 1789, 994, 825, 642, 273, 815, 6152, 263, 1556, 267, 2420, 267, 3451, 2020, 825, 642, 274, 815, 642, 272, 1341, 642, 273, 454, 825, 1820, 17635, 274, 2020, 0, 3698, 8585, 613, 299, 1235, 263, 3650, 288, 267, 2212, 289, 2187, 825, 952, 2212, 288, 568, 7183, 912, 1038, 2132, 2212, 289, 454, 825, 952, 2212, 289, 568, 7183, 912, 1038, 2132, 2212, 288, 692, 825, 1948, 1711, 546, 16244, 6843, 547, 2057, 3606, 11974, 538, 8520, 454, 825, 1376, 815, 2766, 815, 19219, 3890, 3097, 825, 1247, 711, 630, 3650, 288, 568, 7183, 610, 2212, 289, 568, 7183, 2187, 1038, 952, 2212, 288, 21606, 2999, 2212, 289, 21606, 912, 2018, 1948, 3314, 1699, 1970, 5991, 1712, 454, 2018, 1699, 815, 2212, 288, 454, 2018, 1948, 1246, 9847, 10113, 454, 2018, 2212, 288, 815, 2212, 288, 12785, 454, 1038, 3116, 912, 2018, 1948, 3314, 1699, 1970, 5991, 1712, 454, 2018, 1699, 815, 2212, 289, 454, 2018, 1948, 1246, 9847, 10113, 454, 2018, 2212, 289, 815, 2212, 289, 12785, 692, 1038, 1948, 1152, 4573, 622, 519, 6843, 19200, 9898, 649, 723, 4553, 9847, 10113, 454, 1038, 2766, 12785, 815, 1699, 19930, 454, 1038, 1948, 543, 1118, 2386, 649, 849, 4434, 519, 10917, 454, 1038, 2766, 815, 2766, 12785, 692, 825, 2766, 12785, 815, 2212, 288, 610, 2212, 289, 692, 825, 1948, 2132, 2766, 540, 546, 16244, 6843, 454, 825, 2132, 1376, 12785, 454, 0, 454, 5035, 6092, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 9074, 12173, 267, 1376, 5091, 622, 267, 1592, 15058, 318, 29324, 17342, 316, 2187, 1038, 1582, 6230, 617, 2544, 12173, 815, 9074, 12173, 454, 1038, 1582, 269, 4289, 15058, 318, 29324, 815, 1592, 15058, 318, 29324, 454, 1038, 1582, 269, 11034, 5091, 622, 815, 1376, 5091, 622, 692, 825, 1219, 9074, 12173, 4311, 2187, 1038, 1582, 6230, 617, 2544, 12173, 815, 9074, 12173, 692, 825, 1219, 1205, 318, 7116, 2544, 12173, 4311, 2187, 1038, 2132, 1582, 6230, 617, 2544, 12173, 692, 825, 1219, 1039, 318, 30700, 4311, 267, 2875, 2187, 1038, 1582, 269, 4289, 15058, 318, 29324, 6910, 263, 30700, 994, 1038, 2132, 1412, 22923, 1520, 4765, 28847, 825, 1219, 1205, 318, 29324, 4311, 2187, 1038, 2132, 1582, 269, 4289, 15058, 318, 29324, 692, 825, 1219, 1205, 12173, 4311, 2187, 1038, 782, 318, 29324, 815, 11713, 1038, 585, 2875, 538, 1582, 269, 4289, 15058, 318, 29324, 912, 2018, 782, 318, 29324, 6910, 263, 30700, 10947, 12173, 15405, 1038, 2132, 782, 318, 29324, 7531 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1572, 8092, 879, 10035, 1040, 2859, 18005, 267, 952, 543, 616, 3252, 689, 2318, 9981, 547, 2318, 556, 1023, 267, 1287, 585, 1022, 562, 1804, 2614, 267, 621, 568, 1767, 602, 692, 6440, 952, 972, 6818, 513, 3586, 971, 602, 1547, 901, 11225, 575, 607, 606, 29297, 5328, 5580, 3808, 585, 535, 269, 2271, 30698, 569, 267, 621, 1797, 602, 535, 9428, 1100, 5488, 29297, 582, 1227, 982, 547, 1369, 513, 3586, 2789, 16963, 6440, 952, 972, 6818, 513, 3586, 971, 602, 6902, 901, 11225, 575, 607, 606, 29297, 5328, 2539, 3808, 585, 535, 16963, 6440, 952, 543, 6902, 543, 901, 11225, 575, 607, 606, 29297, 5328, 9395, 3808, 585, 535, 16963, 11997, 267, 952, 606, 5690, 3217, 585, 3236, 267, 3268, 593, 606, 3403, 540, 2450, 562, 267, 649, 3274, 2161, 621, 8255, 609, 513, 942, 6988, 3808, 540, 1547, 7305, 476, 272, 269, 273, 26564, 519, 3335, 1558, 6988, 3252, 543, 741, 2404, 4408, 269, 6789, 8092, 879, 10035, 6087, 721, 547, 2285, 519, 6988, 547, 1369, 513, 3586, 2789, 267, 649, 666, 2328, 1510, 4758, 519, 3490, 540, 519, 30233, 267, 6616, 602, 519, 3490, 12750, 625, 519, 1599, 676, 513, 3586, 630, 4067, 569, 519, 30233, 540, 519, 3490, 6393, 19865, 476, 272, 269, 275, 692, 1432, 568, 519, 6988, 540, 519, 535, 1314, 3009, 4843, 538, 519, 3105, 3296, 2496, 11405, 593, 2985, 476, 28434, 780, 8368, 476, 272, 269, 273, 30003, 29203, 645, 2432, 5136, 22633, 689, 606, 23990, 5811, 692, 9577, 29203, 7151, 19693, 7305, 1413, 1575, 8298, 15162, 6193, 23030, 3406, 593, 513, 15044, 6152, 12430, 3004, 951, 532, 540, 606, 5667, 9285, 6152, 2372, 553, 559, 710, 541, 2372, 6506, 677, 267, 674, 10499, 630, 4089, 476, 272, 269, 275, 269, 273, 269, 275, 264, 27155, 10878, 633, 4009, 5119, 8691, 1107, 5890, 11228, 10878, 633, 25828, 1107, 692, 1103, 2259, 267, 1169, 5690, 1058, 723, 513, 5276, 6988, 1107, 1141, 562, 568, 519, 2450, 540, 519, 2707, 5048, 1107, 547, 581, 968, 1483, 6066, 892, 3608, 267, 602, 568, 267, 26729, 538, 513, 6771, 950, 513, 1279, 26125, 568, 711, 11807, 630, 974, 548, 21620, 267, 19180, 267, 3092, 4700, 780, 3080, 540, 519, 4610, 540, 25563, 12346, 593, 519, 8367, 602, 972, 6818, 930, 2042, 1141, 1100, 5690, 609, 971, 6988, 568, 1634, 269, 1280, 971, 2042, 267, 1169, 1634, 5690, 13668, 24666, 7384, 942, 1107, 799, 2306, 741, 3498, 7543, 780, 1103, 713, 1433, 267, 649, 2015, 602, 513, 1966, 568, 7543, 547, 4194, 630, 821, 1419, 3096, 519, 552, 1575, 1335, 1143, 968, 2352, 14615, 950, 972, 568, 1100, 1634, 5690, 799, 31758, 621, 538, 1480, 569, 10257, 942, 267, 585, 3236, 267, 952, 922, 6571, 1131, 7662, 811, 982, 4238, 780, 427, 375, 379 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 553, 543, 519, 26002, 540, 27454, 13946, 17633, 563, 763, 5375, 918, 338, 1002, 1905, 320, 15913, 5555, 17379, 1813, 547, 1585, 2188, 267, 1519, 4835, 7526, 267, 5007, 32042, 267, 543, 519, 4473, 540, 824, 6237, 7060, 563, 763, 2871, 24473, 7276, 267, 799, 7153, 538, 519, 476, 275, 628, 2540, 9460, 267, 5129, 513, 1909, 538, 519, 7771, 540, 519, 5375, 918, 338, 1002, 1905, 553, 267, 607, 789, 6905, 741, 3310, 883, 7262, 3127, 563, 268, 21475, 4149, 1097, 628, 1014, 4341, 538, 519, 32720, 1016, 29657, 30403, 950, 519, 2063, 5375, 9045, 1905, 23052, 6652, 574, 3873, 8633, 729, 17204, 676, 519, 2871, 24473, 17169, 25941, 4048, 340, 24473, 4083, 538, 476, 4375, 276, 9460, 563, 763, 8832, 9045, 571, 1186, 12199, 936, 2694, 540, 2413, 6377, 9031, 267, 15787, 267, 543, 7187, 3127, 269, 4256, 11182, 3769, 4525, 971, 607, 717, 663, 327, 4673, 630, 333, 2180, 13523, 9031, 1070, 4569, 3120, 267, 543, 590, 785, 327, 630, 338, 4822, 9031, 1916, 763, 590, 752, 553, 540, 8832, 9045, 571, 1186, 941, 3238, 538, 4123, 2059, 519, 28010, 10003, 267, 14123, 2686, 15377, 1063, 3127, 267, 6239, 5607, 267, 543, 519, 11335, 563, 268, 901, 1974, 4718, 519, 30436, 540, 1148, 267, 2523, 717, 663, 327, 4673, 1148, 267, 799, 729, 6353, 676, 519, 16471, 540, 18774, 523, 2065, 267, 4095, 267, 543, 14655, 7506, 563, 30131, 17710, 540, 7187, 2893, 571, 1186, 941, 912, 268, 14076, 12320, 3121, 281, 1261, 729, 513, 4279, 9045, 1905, 630, 300, 1695, 6545, 1002, 1905, 320, 264, 945, 12199, 538, 519, 1858, 540, 4569, 3120, 538, 7187, 3127, 538, 519, 1296, 1472, 476, 1015, 9460, 267, 896, 519, 6392, 540, 519, 21475, 4149, 1097, 628, 1014, 4622, 589, 7588, 2478, 563, 268, 590, 617, 14505, 267, 5067, 540, 14076, 12320, 3121, 267, 4667, 547, 723, 8719, 1010, 4651, 538, 4569, 3120, 267, 1247, 13225, 611, 599, 14505, 12199, 607, 5178, 850, 639, 538, 8109, 23570, 563, 763, 21475, 6261, 14390, 2103, 267, 1776, 7936, 540, 519, 590, 752, 553, 267, 3964, 741, 4341, 538, 32720, 3127, 267, 3226, 538, 519, 4525, 540, 717, 663, 327, 4673, 543, 4569, 3120, 269, 4256, 4341, 6772, 11474, 609, 519, 21475, 4149, 1097, 628, 2103, 267, 543, 789, 11478, 689, 519, 476, 272, 560, 2540, 14514, 547, 519, 476, 274, 6113, 2540, 9460, 563, 268, 634, 3474, 628, 2103, 267, 1634, 585, 741, 9952, 29816, 543, 818, 30987, 267, 1185, 3964, 519, 3474, 628, 1014, 7276, 538, 519, 7262, 851, 540, 519, 22504, 17934, 879, 1354, 14178, 741, 3310, 7532, 1189, 883, 2694, 540, 1459, 6377, 15787, 543, 9031, 563, 268, 634, 21475, 6261, 14390, 2103, 267, 3366, 676, 717, 1180, 2684, 4100, 267, 941, 1851, 519, 1101, 3474, 628, 1014, 17710, 547, 4228, 741, 4341, 883, 519, 32720, 4525, 540, 519, 4095, 1016, 29657, 563, 763, 21475, 6261, 14390, 2103, 1185, 7526, 543, 24816, 609, 519, 15231, 918, 2313, 534, 7276, 267, 1776, 1713, 1379, 538, 7187, 3127, 1282, 519, 1482, 1974, 563, 24292, 267, 1148, 267, 543, 15339, 540, 590, 752, 553, 454, 763, 590, 752, 553, 30552, 770, 625, 538, 3127, 941, 1634, 585, 741, 7418, 547, 1148, 543, 2528, 269, 1358, 20762, 741, 6239, 7489, 6561, 609, 4095, 5389, 267, 4611, 538, 2189, 7499, 6163, 269, 1358, 849, 19121, 1242, 13221, 543, 8329, 547, 519, 4070, 540, 14418, 23535, 553, 543, 20708, 625, 563, 5445, 7550, 1585, 3344, 540, 4095, 2528, 267, 1519, 13221, 543, 18420, 563, 268, 1358, 3812, 11113, 609, 19636, 1202, 18587, 267, 10023, 5259, 543, 23347, 14741, 20072, 267, 799, 2992, 741, 2686, 12760, 269, 2368, 21475, 4149, 1097, 628, 1014, 15438, 849, 9783, 11113, 609, 14418, 13513, 563, 268, 21475, 4149, 1097, 628, 1014, 1148, 568, 6353, 676, 922, 2189, 11100, 540, 13983, 1723, 5174, 3291, 7290, 543, 4095, 6163, 563, 268, 898, 1419, 2934, 26007, 540, 24587, 543, 10207, 689, 14418, 6386, 269, 634, 717, 663, 327, 4673, 3148, 267, 538, 1880, 267, 568, 4583, 585, 922, 21475, 4149, 1097, 628, 1014, 14418, 1148, 563, 763, 8832, 9045, 571, 1186, 941, 1634, 585, 741, 3909, 10892, 543, 6462, 513, 3575, 540, 10764, 267, 1519, 13221, 267, 18420, 267, 543, 2098, 19660, 770, 6929, 1143, 269, 3509, 11113, 689, 741, 5736, 4183, 24587, 689, 1114, 5132, 338, 563, 268, 769, 4569, 3120, 267, 14076, 12320, 3121, 3964, 519, 4583, 4569, 3120, 17794, 3854, 267, 1631, 538, 519, 3703, 7467, 267, 799, 25495, 519, 4527, 540, 8832, 9045, 571, 1186, 538, 4569, 3120, 563, 306, 752, 553, 5129, 513, 1909, 538, 519, 1646, 540, 717, 663, 327, 4673, 6189, 267, 799, 5916, 2609, 540, 5259, 267, 4936, 267, 543, 4095, 11265, 6163, 269, 31838, 1806, 1331, 23535, 553, 630, 289, 3291, 7290, 3909, 20375, 264, 543, 1395, 2880, 23838, 609, 13983, 1723, 7304, 2674, 9587, 543, 1795, 3547, 563, 5719, 743, 710, 540, 519, 590, 752, 553, 30552, 770, 625, 454, 7021, 942, 267, 519, 590, 752, 553, 30552, 770, 625, 5185, 1585, 2591, 267, 1519, 7526, 609, 824, 6237, 7060, 267, 971, 607, 519, 9045, 822, 1695, 11446, 543, 519, 2871, 24473, 7276, 269, 3958, 267, 4835, 1193, 1057, 543, 32042, 676, 824, 4914, 2516, 8329, 547, 741, 7771, 563, 763, 590, 752, 553, 30552, 770, 625, 2451, 606, 30170, 1665, 593, 519, 1686, 543, 2528, 540, 3127, 269, 4256, 7499, 543, 11265, 7418, 267, 607, 1134, 607, 741, 1909, 538, 519, 3262, 540, 13221, 267, 616, 851, 540, 3127, 779, 3140, 6561, 563, 2005, 779, 1271, 547, 4063, 602, 519, 1686, 540, 519, 590, 752, 553, 538, 3127, 568, 23091, 609, 519, 6626, 1686, 540, 519, 1016, 29657, 267, 6825, 676, 513, 3126, 540, 30552, 2880, 2242, 543, 2686, 4205, 269, 634, 590, 752, 553, 685, 4527, 538, 3127, 568, 513, 15266, 547, 519, 6422, 543, 3309, 1686, 540, 519, 3148, 563, 5025, 4135, 1834, 676, 4210, 27821, 9045, 880, 0, 763, 862, 583, 1807, 12415, 538, 519, 862, 583, 1807, 616, 2965, 711, 22921, 267, 855, 585, 519, 2115, 540, 519, 9186, 11443, 267, 543, 585, 519, 13418, 540, 10916, 693, 1022, 942, 267, 649, 786, 1039, 2338, 585, 519, 862, 583, 1807, 12415, 538, 2185, 2665, 563, 272, 269, 10831, 540, 519, 862, 583, 1807, 950, 6849, 519, 1318, 23090, 454, 273, 269, 10831, 540, 519, 862, 583, 1807, 950, 21678, 547, 519, 1318, 23090, 454, 274, 269, 10831, 540, 519, 862, 583, 1807, 950, 6849, 519, 2451, 23090, 454, 275, 269, 10831, 540, 519, 862, 583, 1807, 950, 21678, 547, 519, 1318, 23090, 454, 8855, 547, 946, 519, 862, 583, 1807, 912, 272, 264, 8550, 5957, 17309, 563, 273, 264, 6969, 960, 267, 596, 1590, 2638, 2436, 519, 3937, 543, 7452, 4015, 3926, 616, 16856, 563, 274, 264, 1879, 519, 862, 583, 1807, 568, 16041, 593, 519, 1286, 267, 621, 1590, 581, 18202, 16119, 543, 519, 1688, 1590, 711, 1935, 519, 18921, 1540, 851, 563, 275, 264, 634, 862, 583, 2209, 1058, 581, 30528, 28426, 543, 12347, 267, 543, 1058, 711, 581, 1932, 1164, 563, 276, 264, 11162, 519, 12511, 532, 3926, 4749, 547, 2327, 602, 519, 12511, 532, 568, 2500, 269, 2334, 568, 267, 519, 23301, 29226, 267, 519, 3327, 11453, 1281, 711, 1847, 267, 1287, 1142, 6292, 540, 3346, 4773, 568, 1114, 267, 543, 1287, 15387, 1864, 547, 3136, 547, 17967, 267, 950, 835, 1895, 540, 2842, 902, 568, 10069, 1242, 538, 519, 4464, 4287, 267, 543, 519, 824, 1895, 666, 581, 10069, 1242, 538, 519, 6587, 4287, 547, 3489, 513, 2362, 21252, 543, 1379, 3977, 563, 10376, 1895, 540, 2842, 902, 814, 693, 2547, 835, 6292, 540, 3346, 4773, 269, 1403, 621, 568, 513, 3818, 2914, 4193, 5179, 267, 2789, 2842, 902, 949, 2671, 835, 3346, 4062, 269, 1703, 616, 3346, 4773, 543, 2842, 902, 4448, 267, 543, 1287, 972, 616, 3327, 26814, 593, 1283, 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 ]
[ 0, 1692, 519, 7182, 540, 519, 2247, 3337, 1480, 1893, 454, 2691, 649, 3717, 267, 938, 5220, 10836, 607, 513, 13576, 6908, 540, 3280, 269, 28791, 649, 616, 2731, 20714, 539, 267, 1284, 269, 5213, 1406, 269, 28423, 269, 2290, 269, 6478, 269, 2311, 269, 589, 269, 5384, 269, 1809, 713, 3959, 540, 4633, 568, 711, 875, 1893, 3294, 568, 22555, 269, 29941, 2874, 540, 1913, 281, 15768, 4559, 540, 2495, 543, 10409, 1106, 602, 649, 666, 9192, 538, 16221, 2081, 547, 1118, 5220, 269, 901, 31028, 1063, 4633, 543, 1893, 12651, 513, 1966, 269, 1215, 798, 1453, 267, 693, 606, 11212, 1762, 2085, 267, 1451, 519, 15768, 4559, 540, 741, 4654, 689, 519, 30255, 3280, 6329, 789, 5873, 286, 0, 24728, 6230, 339, 568, 27490, 3650, 532, 519, 6468, 275, 3951, 1788, 454, 23727, 4876, 10092, 616, 7680, 513, 2539, 4527, 540, 6690, 543, 2021, 711, 1813, 547, 25013, 13004, 610, 2257, 1983, 855, 1813, 547, 11475, 563, 268, 8191, 281, 9484, 1817, 320, 12338, 1690, 541, 267, 18509, 13541, 267, 15306, 6230, 339, 454, 10214, 1498, 519, 4008, 7934, 1369, 519, 3059, 5736, 814, 1044, 10770, 2429, 519, 1296, 267, 2021, 543, 2029, 723, 1100, 27171, 547, 835, 1776, 269, 3778, 814, 3254, 721, 1896, 2021, 1818, 741, 1259, 998, 741, 7418, 547, 6128, 543, 7384, 563, 8601, 519, 1249, 602, 2021, 538, 10509, 616, 11543, 2666, 267, 609, 476, 1015, 269, 274, 829, 1298, 540, 8951, 7446, 547, 11654, 513, 13241, 4876, 2687, 547, 519, 476, 1708, 272, 6820, 13834, 29361, 7797, 267, 519, 896, 10517, 19948, 538, 519, 10509, 2361, 568, 1869, 9228, 607, 789, 616, 6849, 2212, 13388, 338, 689, 2069, 547, 7694, 547, 1870, 563, 22137, 676, 9786, 22942, 602, 649, 1152, 723, 513, 1906, 1296, 547, 10027, 880, 513, 8004, 779, 15754, 585, 13241, 1354, 789, 2285, 909, 593, 621, 607, 789, 2490, 476, 1428, 269, 4107, 4775, 896, 6588, 706, 919, 786, 7832, 593, 13241, 6030, 1310, 2038, 4598, 547, 13241, 5396, 269, 1284, 723, 14754, 6690, 7820, 982, 476, 2641, 609, 513, 16994, 1719, 538, 10509, 543, 8193, 1354, 2085, 476, 1626, 269, 2060, 2637, 2098, 267, 6690, 616, 2808, 3059, 25165, 267, 609, 476, 1839, 829, 1298, 1354, 2085, 476, 1428, 1813, 547, 3872, 3255, 563, 7021, 519, 1296, 267, 1896, 1382, 4703, 723, 6700, 602, 3309, 6887, 616, 811, 5499, 543, 1267, 538, 1732, 2773, 1369, 513, 9036, 563, 26581, 787, 3401, 1631, 21028, 713, 543, 723, 2938, 3413, 15256, 2164, 585, 741, 4213, 269, 634, 7589, 540, 2021, 538, 13241, 2488, 2486, 609, 1896, 8101, 2804, 2640, 267, 971, 607, 29000, 538, 519, 960, 2322, 4464, 2509, 4008, 26027, 1369, 519, 9167, 779, 2990, 563, 1103, 519, 1985, 2947, 547, 476, 1015, 1296, 267, 649, 786, 3914, 476, 2412, 829, 1298, 540, 2021, 538, 10509, 7158, 11451, 630, 24728, 329, 1722, 267, 476, 1708, 273, 1916, 2005, 849, 6411, 607, 513, 2531, 3626, 1198, 593, 519, 2208, 540, 519, 2518, 4346, 676, 5355, 519, 2298, 540, 3606, 13007, 547, 3549, 543, 3056, 519, 10509, 2872, 547, 513, 811, 4008, 268, 16029, 2104, 269, 11109, 3309, 15421, 8591, 5647, 543, 2488, 1007, 4030, 1031, 538, 1587, 1646, 543, 2533, 547, 8597, 547, 1114, 3344, 540, 2486, 563, 23727, 4876, 10092, 616, 7680, 513, 2539, 4527, 540, 6690, 543, 2021, 711, 1813, 547, 25013, 13004, 610, 2257, 1983, 855, 1813, 547, 11475, 543, 6788, 4478, 2021, 1282, 741, 24233, 1296, 269, 6468, 2933, 666, 957, 607, 23801, 2188, 538, 8716, 811, 6690, 543, 2021, 547, 3442, 10509, 610, 824, 13241, 11678, 267, 2687, 547, 519, 8668, 308, 1107, 2136, 8315, 7463, 8116, 585, 23559, 563, 14454, 267, 2810, 6690, 685, 13241, 9525, 538, 2342, 19329, 3376, 1489, 689, 3885, 267, 3506, 267, 4213, 267, 3084, 543, 3864, 10350, 267, 855, 1034, 2629, 569, 267, 519, 8348, 543, 3742, 7589, 540, 6690, 2933, 269, 15043, 513, 3060, 540, 2199, 267, 3084, 267, 543, 3864, 31548, 585, 6690, 3206, 827, 1018, 789, 1616, 547, 3035, 269, 1403, 8951, 616, 16934, 689, 713, 1184, 267, 741, 16858, 949, 581, 16053, 267, 2417, 8589, 1944, 873, 269, 901, 3059, 7941, 267, 952, 711, 9619, 267, 786, 1267, 538, 513, 2530, 540, 4775, 13007, 267, 5876, 267, 543, 20835, 267, 8754, 11097, 2287, 519, 4008, 7934, 563, 2467, 723, 1044, 1713, 7835, 593, 4259, 513, 2178, 9087, 1054, 1245, 538, 8716, 2021, 547, 7832, 513, 4876, 538, 13241, 267, 1312, 12725, 543, 593, 606, 9167, 1377, 563, 763, 6468, 275, 3951, 1788, 568, 513, 3818, 3613, 820, 14516, 9316, 6462, 676, 661, 12788, 6182, 1218, 543, 519, 16157, 15272, 25477, 6182, 1218, 8750, 269, 634, 11036, 568, 20483, 676, 8370, 3864, 4891, 689, 3309, 6080, 269, 634, 11036, 568, 5645, 856, 538, 5722, 2477, 1519, 5689, 3279, 267, 609, 519, 6351, 540, 1079, 11285, 4891, 281, 519, 3864, 10418, 585, 6468, 543, 5303, 543, 667, 5456, 3951, 3201, 31323, 4629, 14154, 563, 24728, 6230, 339, 568, 27490, 3650, 532, 519, 6468, 275, 3951, 1788, 267, 799, 6663, 547, 5818, 2199, 21941, 267, 3059, 1983, 267, 543, 2308, 1464, 269, 634, 1788, 6663, 547, 6318, 4656, 827, 519, 3059, 4008, 7934, 282, 621, 8992, 6405, 3435, 547, 5512, 1762, 2021, 1063, 519, 6502, 540, 476, 1240, 543, 476, 3066, 2263, 741, 1761, 998, 2866, 543, 13844, 10509, 5829, 7694, 543, 4876, 3255, 538, 1899, 609, 519, 9167, 779, 3059, 16786, 563, 2690, 811, 1344, 543, 547, 4019, 585, 519, 6468, 275, 3951, 6030, 267, 3643, 8940, 269, 27700, 6230, 339, 610, 4757, 721, 693, 18078, 17106, 11333, 3820, 269, 0, 1692, 1772, 13813, 13242, 769, 28064, 5020, 1107, 23671, 3548, 513, 2603, 540, 9268, 1426, 269, 769, 1249, 267, 23671, 10057, 476, 8099, 5479, 20990, 540, 15568, 3282, 538, 476, 1001, 279, 269, 13813, 568, 606, 1898, 851, 540, 4948, 1272, 538, 4516, 543, 1472, 519, 1158, 585, 6283, 267, 8022, 938, 5321, 267, 543, 15229, 1031, 538, 7802, 267, 11418, 543, 811, 563, 302, 559, 568, 606, 1898, 851, 540, 4948, 1272, 538, 4516, 543, 1472, 519, 1158, 269, 4516, 27499, 476, 272, 269, 276, 2929, 29054, 540, 3282, 1169, 1554, 267, 799, 568, 476, 273, 269, 276, 260, 540, 519, 1158, 779, 3282, 269, 901, 3532, 2707, 540, 1648, 7575, 721, 267, 646, 1846, 938, 5321, 543, 568, 851, 540, 1082, 4948, 1919, 563, 1692, 1772, 13813, 13242, 769, 28064, 5020, 454, 20332, 3154, 568, 726, 550, 3814, 543, 726, 550, 3814, 538, 4516, 282, 31293, 1134, 538, 7677, 2167, 543, 26925, 602, 723, 811, 982, 476, 4817, 2600, 4398, 563, 9336, 1485, 13813, 28064, 13813, 267, 6301, 560, 599, 2349, 754, 454, 12441, 596, 917, 602, 519, 4492, 7382, 1281, 811, 982, 1175, 6445, 707, 1286, 609, 4492, 286, 769, 1249, 267, 3282, 568, 1031, 538, 519, 2504, 540, 1082, 2472, 971, 607, 4412, 2033, 267, 28372, 267, 4620, 10635, 8707, 6151, 2326, 543, 1866, 563, 7197, 540, 4516, 779, 3282, 568, 1031, 547, 4492, 6283, 267, 799, 568, 1898, 585, 519, 3350, 540, 1004, 267, 5370, 543, 2533, 269, 4340, 547, 10803, 4516, 267, 972, 941, 476, 4097, 269, 274, 2929, 17405, 267, 17088, 543, 2067, 3154, 6472, 10805, 538, 4516, 538, 476, 1001, 278, 269, 4676, 514, 7685, 2490, 19020, 3282, 883, 2472, 602, 666, 581, 1031, 607, 6283, 10173, 1107, 17405, 267, 17088, 267, 543, 15191, 4492, 563, 291, 19342, 281, 23850, 585, 9817, 4922, 1031, 538, 6517, 267, 21772, 543, 1857, 3560, 267, 21525, 582, 1161, 267, 6694, 543, 5230, 3937, 269, 667, 19342, 814, 811, 1379, 543, 811, 1648, 982, 17405, 563, 5522, 10415, 543, 824, 19386, 2861, 2472, 616, 1031, 538, 5122, 3334, 585, 741, 3002, 4187, 543, 3002, 4187, 269, 3245, 707, 10529, 543, 1591, 11436, 547, 707, 5904, 267, 12514, 267, 543, 7641, 338, 267, 1082, 5907, 3457, 2270, 3282, 2861, 3334, 563, 8196, 2986, 13813, 454, 5141, 5847, 568, 1419, 1500, 689, 19386, 2861, 11103, 267, 1519, 28778, 267, 18422, 517, 267, 17154, 16463, 267, 4874, 6856, 267, 562, 14125, 267, 543, 838, 663, 1410, 269, 4634, 10887, 543, 1688, 321, 4711, 946, 4620, 10635, 8707, 338, 585, 741, 17426, 267, 14463, 543, 28890, 3601, 563, 6624, 4122, 1031, 5026, 3937, 3568, 19149, 1218, 267, 971, 607, 14912, 338, 267, 17075, 11084, 543, 11435, 267, 11176, 31238, 267, 10977, 20115, 267, 25920, 15236, 267, 17281, 24646, 1115, 543, 10068, 22203, 563, 6624, 540, 938, 2123, 1416, 2472, 616, 6508, 689, 19386, 267, 1519, 13526, 2541, 267, 4552, 20004, 267, 17539, 630, 28309, 22496, 267, 5748, 267, 5748, 267, 3750, 14692, 267, 544, 2444, 4673, 267, 22442, 10719, 1070, 1688, 8645, 267, 26025, 267, 12853, 267, 695, 3058, 8645, 2073, 632, 31121, 656, 267, 20562, 344, 327, 846, 267, 2036, 338, 267, 31576, 5622, 267, 14296, 543, 3346, 14485, 563, 17457, 3782, 5673, 593, 3282, 267, 585, 799, 972, 616, 711, 1082, 31431, 269, 1773, 10415, 616, 1031, 538, 1585, 2564, 3457, 543, 4620, 10635, 8707, 338, 616, 1031, 607, 4915, 269, 15733, 1331, 2564, 3937, 267, 10001, 11435, 267, 29469, 267, 4550, 7290, 26952, 267, 5841, 17873, 267, 14382, 12330, 267, 6217, 11226, 267, 2295, 17901, 543, 811, 563, 298, 1716, 779, 6052, 281, 589, 6733, 2311, 634, 13813, 1656, 24997, 6052, 12752, 454, 5978, 5321, 616, 2407, 540, 19386, 2472, 269, 3245, 2679, 2326, 971, 607, 32072, 543, 521, 4575, 547, 13274, 1961, 636, 32466, 267, 11647, 267, 1753, 29939, 902, 543, 1753, 29939, 902, 971, 607, 24302, 687, 267, 1225, 13935, 267, 15790, 1115, 543, 2777, 5862, 269, 4634, 1082, 4948, 10051, 3688, 971, 607, 10824, 267, 11680, 267, 1875, 3613, 1157, 31781, 543, 8723, 865, 2355, 946, 3282, 538, 741, 2504, 269, 3245, 29469, 547, 16813, 22641, 553, 267, 1591, 11436, 547, 10551, 7405, 267, 19386, 4249, 606, 1271, 1909, 538, 1082, 1919, 649, 946, 1169, 1554, 269, 13813, 543, 3154, 711, 1152, 1769, 938, 5321, 543, 4213, 267, 789, 3002, 543, 3579, 721, 269, 1358, 1118, 26925, 543, 10051, 14233, 543, 5397, 938, 6517, 267, 14742, 267, 8778, 832, 543, 3937, 563, 302, 559, 543, 3154, 616, 7184, 12082, 538, 4993, 779, 1686, 543, 4346, 2221, 269, 4993, 568, 519, 3791, 4102, 16073, 540, 3282, 543, 568, 1641, 547, 930, 540, 519, 7453, 652, 6042, 538, 519, 1158, 269, 13813, 543, 3154, 1683, 5176, 476, 5197, 267, 1822, 6009, 538, 4993, 543, 1683, 811, 982, 1269, 2641, 269, 273, 5479, 538, 1533, 543, 5313, 9204, 563, 3528, 7561, 6721, 3282, 543, 2067, 3154, 1934, 538, 4993, 267, 649, 2569, 938, 13829, 593, 4914, 2959, 543, 948, 2539, 519, 1942, 540, 5201, 538, 938, 5321, 267, 4213, 543, 693, 519, 7148, 563, 23077, 9358, 918, 301, 8582, 9338, 3918, 4696, 312, 286, 589, 5028, 6052, 568, 513, 1614, 6066, 4378, 648, 324, 593, 519, 1280, 15816, 2475, 11068, 4149, 1242, 14146, 619, 1592, 267, 20823, 27630, 593, 519, 476, 1708, 273, 1592, 543, 4466, 922, 1747, 1851, 519, 4557, 1655, 4571, 13355, 3549, 547, 960, 585, 538, 519, 2136, 2276, 563, 302, 559, 1656, 13937, 769, 28064, 5020, 454, 5804, 519, 2475, 6052, 6176, 10029, 3896, 267, 1934, 568, 513, 15059, 540, 476, 1001, 278, 2475, 3282, 4616, 676, 5823, 912, 763, 2185, 1292, 2010, 540, 4492, 616, 17405, 267, 19386, 1253, 650, 622, 267, 8652, 21666, 3154, 630, 295, 21923, 264, 543, 15191, 4492, 269, 670, 21923, 568, 3335, 513, 2679, 3625, 585, 1082, 2472, 1500, 689, 4412, 2033, 267, 2802, 2033, 267, 855, 2033, 543, 824, 8652, 21666, 9362, 563, 7197, 1004, 616, 5432, 609, 3282, 1201, 514, 7685, 543, 917, 602, 789, 3132, 519, 3282, 602, 7060, 938, 6517, 267, 855, 972, 616, 1082, 824, 1919, 602, 979, 883, 891, 2371, 602, 979, 29462, 269, 634, 946, 540, 27847, 1253, 20746, 2337, 5094, 519, 1585, 2472, 6508, 689, 19020, 3282, 689, 519, 14495, 1448, 269, 8899, 2837, 2472, 971, 607, 3282, 543, 2973, 2011, 616, 6394, 538, 519, 1253, 20746, 6241, 693, 519, 1283, 267, 1247, 4492, 3282, 543, 28372, 616, 6394, 693, 519, 5377, 269, 4595, 19020, 3282, 568, 1500, 909, 540, 1279, 3327, 11800, 267, 513, 18463, 666, 581, 1031, 547, 8237, 519, 11800, 610, 2736, 873, 883, 4130, 6675, 543, 1287, 5094, 873, 883, 4130, 3515, 267, 4470, 593, 519, 2504, 563, 2304, 1133, 1260, 6088, 5020, 18248, 281, 476, 1015, 18467, 1677, 2422, 30225, 2658, 12708, 13813, 454, 2171, 917, 689, 5214 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 936, 476, 3445, 260, 540, 922, 5888, 1373, 1500, 909, 540, 4401, 269, 898, 568, 1360, 2182, 543, 666, 1832, 513, 8325, 6316, 267, 1818, 621, 1134, 25252, 1243, 585, 7344, 3096, 971, 607, 16590, 11353, 543, 19059, 563, 268, 10011, 4401, 281, 713, 4496, 568, 24215, 2182, 1813, 547, 922, 1164, 2157, 540, 3327, 267, 855, 519, 3327, 849, 2306, 621, 3833, 28221, 269, 1280, 713, 2601, 267, 5641, 4401, 568, 1631, 5097, 1031, 585, 4130, 3684, 3334, 610, 3434, 2264, 563, 268, 32255, 5374, 281, 519, 1034, 4122, 1031, 1826, 540, 7542, 9317, 8407, 267, 2523, 585, 7082, 5370, 269, 634, 1840, 540, 26388, 568, 1018, 2306, 513, 5374, 16243, 267, 543, 3947, 621, 1434, 14809, 4187, 269, 1656, 621, 779, 6419, 267, 799, 568, 1946, 596, 666, 6529, 3172, 7497, 593, 707, 21067, 563, 268, 2353, 1195, 5374, 281, 519, 3601, 540, 713, 1895, 540, 7542, 9317, 8407, 666, 4268, 1454, 811, 4922, 982, 519, 1866, 267, 2094, 519, 18585, 568, 4481, 19775, 585, 513, 1880, 3483, 269, 1924, 1247, 18585, 2848, 1564, 616, 7542, 9317, 267, 519, 3773, 2609, 2636, 519, 4496, 547, 581, 3358, 585, 811, 4222, 267, 13811, 1006, 267, 21052, 610, 824, 3959, 563, 13356, 5317, 13082, 676, 922, 10606, 454, 12024, 1022, 824, 2361, 540, 6791, 267, 519, 5374, 2872, 814, 922, 1378, 3822, 1107, 835, 602, 949, 581, 14845, 2390, 1101, 7237, 269, 4208, 616, 789, 8655, 2185, 18251, 9479, 286, 1548, 779, 519, 3017, 1063, 2353, 1195, 476, 31979, 271, 543, 476, 29300, 271, 888, 17556, 601, 568, 15044, 883, 2185, 1292, 6688, 607, 1305, 676, 519, 589, 3041, 296, 630, 13563, 11635, 543, 13082, 4659, 2187, 268, 12539, 5374, 454, 268, 2353, 1195, 5374, 454, 268, 32255, 5374, 454, 268, 15484, 5374, 454, 18455, 5374, 267, 891, 2270, 519, 1482, 1079, 2596, 2609, 540, 4401, 543, 3327, 269, 10318, 1456, 741, 7121, 5673, 593, 519, 6871, 540, 3327, 543, 824, 23212, 3773, 547, 519, 4401, 267, 799, 2242, 519, 3601, 540, 519, 8737, 4496, 563, 20751, 1142, 7121, 267, 5374, 666, 1287, 581, 9286, 2687, 547, 1826, 269, 901, 2356, 2882, 1896, 540, 519, 10855, 2188, 2630, 912, 268, 23531, 281, 519, 1292, 6688, 540, 3327, 267, 18585, 267, 16243, 267, 543, 1907, 5374, 563, 268, 5843, 560, 4450, 281, 891, 616, 519, 23658, 20975, 540, 5888, 269, 1280, 3236, 267, 16243, 5374, 666, 581, 1362, 539, 607, 7542, 26578, 267, 28191, 523, 12792, 267, 12004, 839, 12792, 267, 543, 5918, 14658, 2848, 1564, 563, 268, 6396, 540, 2504, 281, 1079, 2409, 2272, 585, 3592, 782, 2413, 5374, 2504, 267, 1634, 607, 661, 28425, 630, 26104, 2011, 19460, 1070, 543, 645, 5308, 630, 21353, 545, 5135, 5374, 14708, 1916, 268, 4813, 270, 4537, 1901, 281, 849, 1634, 607, 3119, 8108, 267, 2870, 5546, 971, 607, 6676, 610, 13063, 563, 268, 6396, 540, 9096, 281, 713, 568, 5219, 547, 607, 6281, 8108, 267, 519, 2553, 799, 2285, 519, 3803, 1587, 922, 3601, 543, 9096, 269, 901, 666, 1331, 3157, 971, 607, 3905, 543, 4411, 12902, 267, 2191, 532, 267, 610, 27647, 1944, 563, 268, 8447, 4222, 281, 1210, 30680, 630, 13563, 5980, 585, 13281, 543, 10049, 264, 4441, 267, 519, 25084, 3335, 2882, 513, 4484, 18772, 543, 8655, 1297, 563, 2467, 616, 1079, 3119, 1297, 532, 1949, 1031, 547, 19665, 8407, 267, 865, 5374, 11673, 3335, 786, 1331, 1312, 269, 13966, 609, 589, 3041, 296, 267, 519, 1297, 532, 1062, 1305, 676, 14408, 292, 630, 306, 1539, 1214, 540, 14825, 12067, 19296, 264, 568, 1034, 1031, 538, 519, 8407, 2872, 269, 1280, 519, 1034, 851, 267, 14408, 292, 814, 9862, 741, 1062, 547, 5447, 609, 519, 28944, 1305, 676, 589, 3041, 296, 267, 865, 602, 16551, 616, 13387, 585, 5374, 563, 3383, 609, 713, 1344, 267, 6800, 723, 519, 2702, 547, 5431, 519, 7121, 543, 8760, 540, 513, 5374, 6221, 269, 769, 519, 2185, 7857, 3009, 1062, 267, 519, 1101, 1297, 786, 3313, 519, 1826, 912, 28275, 609, 476, 272, 281, 12539, 5374, 454, 273, 281, 19162, 601, 5374, 454, 274, 281, 19162, 601, 7302, 668, 1756, 5374, 454, 275, 281, 631, 8432, 321, 6577, 636, 5374, 454, 276, 281, 26537, 1756, 5374, 454, 277, 281, 26537, 1756, 268, 7079, 18123, 5374, 454, 278, 281, 570, 32500, 7302, 668, 1756, 5374, 454, 279, 281, 19162, 601, 7302, 668, 1756, 2173, 8432, 321, 6577, 636, 5374, 454, 280, 281, 28541, 2173, 22462, 3150, 5374, 543, 824, 14408, 292, 9344, 454, 763, 1739, 2338, 1287, 2285, 3606, 1469, 547, 519, 1808, 1826, 540, 5374, 269, 769, 1034, 2665, 267, 519, 2034, 7857, 6920, 519, 6871, 540, 18585, 532, 3693, 269, 634, 2063, 1079, 9704, 616, 519, 6871, 540, 3327, 5834, 1369, 519, 5374, 563, 3383, 1210, 519, 1383, 540, 476, 31979, 271, 5288, 476, 29300, 271, 5374, 281, 1312, 1376, 609, 513, 476, 275, 267, 865, 789, 616, 544, 8432, 321, 6577, 636, 2848, 1564, 1107, 609, 519, 5834, 540, 544, 8432, 321, 6577, 636, 1373, 476, 272, 10065, 634, 3017, 1063, 519, 1079, 568, 602, 476, 31979, 271, 814, 513, 3327, 6871, 540, 10199, 476, 271, 269, 1789, 9077, 1247, 476, 29300, 271, 3568, 476, 271, 269, 2412, 2600, 3327, 269, 5221, 540, 922, 2539, 3327, 6871, 267, 476, 31979, 271, 1131, 581, 811, 3362, 2577, 1441, 543, 28891, 762, 982, 476, 29300, 271, 269, 1717, 267, 519, 2362, 4110, 540, 3327, 538, 476, 29300, 271, 18585, 3947, 621, 3152, 21052, 543, 4222, 982, 476, 31979, 271, 269, 20331, 609, 713, 1702, 267, 713, 949, 1732, 948, 596, 3442, 519, 1318, 1826, 540, 5374, 585, 707, 2115, 269, 0, 304, 783, 2305, 540, 25367, 2866, 12665, 538, 519, 2361, 540, 1648, 18026, 2679, 12957, 454, 763, 2551, 540, 3127, 568, 3395, 6385, 269, 1306, 513, 1267, 267, 5111, 476, 1428, 2929, 1762, 12075, 4283, 519, 11668, 2344, 1169, 1032, 269, 6736, 606, 2799, 3761, 540, 29095, 4721, 267, 519, 3395, 1297, 540, 1153, 682, 28316, 568, 856, 560, 686, 6137, 519, 4390, 540, 519, 25367, 2069, 543, 2866, 1062, 269, 2311, 519, 1482, 942, 267, 519, 1062, 1281, 711, 723, 519, 2556, 2200, 543, 1983, 547, 3132, 2614, 9952, 4600, 540, 519, 2838, 2298, 269, 901, 17732, 540, 9952, 4600, 12042, 619, 519, 4264, 2804, 2208, 540, 519, 2197, 563, 19328, 543, 5125, 28111, 5702, 538, 519, 2361, 540, 25367, 2069, 543, 2866, 269, 769, 713, 2796, 267, 519, 1646, 540, 1983, 538, 3039, 9922, 267, 971, 607, 552, 2173, 984, 1006, 267, 1648, 4398, 543, 7791, 1648, 267, 568, 2938, 607, 2348, 3226, 1164, 7694, 1761, 269, 901, 849, 2882, 2679, 12957, 267, 799, 568, 606, 1271, 2679, 3625, 585, 5355, 519, 2916, 29591, 540, 5656, 543, 814, 519, 1761, 547, 3565, 547, 513, 1732, 2916, 3666, 269, 10738, 519, 5943, 540, 519, 1788, 267, 4095, 25367, 1153, 3610, 543, 25367, 2866, 12665, 616, 11727, 538, 519, 2361, 540, 1648, 18026, 2679, 12957, 563, 2791, 666, 1265, 519, 5013, 18694, 540, 519, 1788, 1934, 269, 0, 10521, 8820, 630, 273, 291, 264, 2326, 616, 513, 1883, 3077, 585, 1082, 3156, 538, 519, 2413, 1554, 269, 8682, 23829, 12273, 568, 835, 1935, 602, 666, 3142, 721, 6251, 547, 713, 3804, 267, 799, 2356, 12346, 2390, 2178, 267, 4287, 531, 4205, 3079, 540, 32128, 7554, 269, 6513, 936, 1447, 4287, 531, 4229, 568, 811, 4101, 543, 2356, 1281, 711, 1267, 538, 607, 1134, 20452, 2326, 269, 1401, 14032, 569, 6220, 27177, 883, 519, 1374, 607, 513, 13057, 1198, 547, 3986, 519, 15025, 4229, 666, 948, 547, 1106, 3810, 10288, 3889, 269, 3371, 514, 267, 649, 1397, 519, 1184, 540, 3337, 29374, 1582, 23829, 12273, 547, 581, 5812, 2066, 513, 2039, 540, 16755, 602, 8711, 519, 19231, 540, 24364, 5163, 269, 589, 3337, 18170, 5086, 3892, 10114, 999, 1395, 12002, 883, 10690, 9587, 602, 1287, 6582, 547, 1106, 476, 273, 291, 3889, 609, 1279, 24365, 1931, 4767, 538, 1312, 26543, 543, 2571, 2326, 269, 1452, 2934, 7794, 519, 2856, 602, 3337, 3587, 606, 1271, 1374, 6240, 3056, 2509, 5730, 7636, 1582, 23829, 12273, 543, 519, 27299, 540, 1007, 2326, 269, 0, 9213, 779, 2022, 2501, 689, 14889, 3722, 16256, 779, 10615, 540, 4886, 543, 16373, 267, 21546, 10456, 5174, 331, 871, 2336, 10000, 11845, 476, 272, 270, 1428, 270, 1001, 274, 281, 1133, 850, 591, 3045, 25555, 621, 786, 5123, 856, 519, 946, 540, 5068, 19273, 538, 922, 2472, 256, 2859, 9623, 1934, 563, 2171, 2661, 538, 513, 3819, 267, 25545, 2916, 267, 799, 1797, 3819, 2960, 1282, 519, 4832, 3275, 269, 932, 1734, 616, 602, 585, 1082, 540, 721, 267, 519, 3232, 6296, 540, 5694, 17678, 543, 3068, 11067, 1522, 849, 1331, 513, 2370, 608, 9110, 11868, 269, 1411, 917, 267, 1085, 745, 25290, 609, 9543, 267, 2067, 267, 6653, 1159, 2454, 8762, 1737, 338, 269, 634, 1434, 3377, 1107, 1100, 4666, 267, 3819, 2960, 1934, 269, 634, 3983, 3377, 1107, 596, 1223, 581, 1085, 745, 25290, 707, 3068, 630, 663, 1560, 264, 609, 5068, 2336, 1607, 3390, 3357, 547, 1250, 3007, 7064, 547, 938, 2828, 693, 5080, 325, 337, 3187, 7690, 779, 22547, 26361, 1773, 10415, 5859, 269, 1358, 4951, 606, 3239, 540, 519, 12146, 1592, 593, 519, 1394, 540, 513, 11480, 540, 968, 11499, 3232, 28103, 609, 8762, 1737, 338, 892, 543, 594, 729, 28280, 256, 634, 8772, 12146, 2507, 4874, 26120, 256, 2334, 779, 1318, 282, 1346, 8762, 1737, 338, 616, 2965, 4874, 26120, 4773, 540, 12813, 3008, 12087, 256, 594, 4682, 1753, 543, 13761, 856, 1250, 5172, 3723, 28103, 543, 1318, 972, 538, 4395, 540, 1250, 4064, 729, 602, 2262, 2507, 335, 8432, 26120, 269, 3502, 1152, 1281, 621, 3100, 968, 684, 11499, 892, 547, 6299, 707, 3068, 543, 1560, 609, 5068, 267, 855, 1018, 4523, 547, 891, 2370, 5068, 19273, 950, 789, 979, 1524, 519, 16173, 610, 8685, 286, 1684, 789, 1205, 22012, 267, 9676, 543, 13381, 286, 25999, 711, 2336, 17829, 17608, 3168, 8762, 1737, 338, 1439, 909, 13576, 883, 2199, 7297, 515, 1091, 543, 856, 547, 519, 5836, 256, 1215, 798, 649, 917, 286, 4270, 267, 476, 276, 21859, 637, 267, 513, 18019, 1382, 3919, 2519, 5097, 593, 5068, 5533, 20726, 539, 693, 621, 538, 513, 2487, 5816, 2022, 269, 3807, 835, 3732, 689, 741, 1353, 713, 4832, 538, 519, 4279, 20463, 8659, 476, 7785, 5068, 8762, 1737, 338, 2336, 3086, 602, 596, 616, 538, 519, 917, 267, 1810, 1406, 1577, 519, 11132, 18274, 518, 2872, 7485, 519, 15144, 936, 707, 4064, 1022, 3476, 269, 6744, 519, 1592, 540, 5820, 593, 3388, 602, 596, 4444, 267, 543, 952, 596, 1294, 606, 608, 9110, 11868, 1587, 602, 3568, 4874, 26120, 267, 1810, 1406, 4444, 621, 2336, 12552, 547, 519, 5080, 325, 337, 3187, 7690, 543, 476, 276, 21859, 637, 585, 4543, 547, 3142, 3007, 547, 713, 2336, 280, 6114, 547, 968, 2750, 9110, 11868, 2060, 1548, 26834, 4208, 1793, 965, 532, 1055, 2960, 1223, 581, 9292, 1154, 938, 1604, 3034, 2005, 779, 2469, 547, 581, 9096, 540, 9553, 1554, 267, 2705, 1354, 9096, 594, 993, 454, 15105, 713, 11999, 2022, 547, 2333, 1250, 1995, 563, 15916, 972, 256, 594, 917, 713, 568, 10169, 1055, 1888, 855, 594, 729, 11842, 952, 596, 6785, 1141, 594, 1223, 1205, 513, 3061, 15939, 454, 680, 1872, 514, 585, 1250, 6085, 1106, 286, 594, 6557, 1210, 519, 1482, 5816, 3760, 454, 553, 16523, 543, 594, 6557, 2348, 8373, 4466, 835, 286, 8729, 513, 2603, 2336, 8967, 582, 593, 609, 713, 2328, 5346, 267, 594, 2731, 1589, 713, 1357, 3135, 2115, 513, 2603, 811, 3007, 269, 594, 3580, 454, 22238, 2406, 581, 1394, 1586, 547, 1224, 811, 267, 7064, 585, 519, 1344, 2336, 6546, 568, 513, 1360, 1434, 9133, 3226, 547, 1346, 4195, 547, 454, 1492, 5816, 14459, 269, 11822, 855, 1360, 4977, 9623, 2507, 11289, 596, 585, 454, 3333, 2130, 713, 835, 269, 589, 1590, 1224, 2376, 2336, 2710, 596, 723, 513, 28417, 3390, 593, 713, 3135, 282, 594, 849, 993, 513, 5816, 3455, 267, 543, 594, 729, 8049, 827, 707, 3510, 282, 1082, 540, 721, 723, 454, 920, 730, 930, 8799, 5773, 543, 649, 616, 3168, 547, 5385, 2553, 609, 454, 1278, 338, 267, 5225, 9496, 803, 606, 552, 17733, 952, 5461, 563, 296, 798, 3858, 609, 782, 540, 519, 2093, 596, 723, 4843, 593, 707, 2022, 563, 5445, 616, 1360, 20310, 543, 786, 6157, 960, 269, 16480, 267, 519, 9708, 616, 1360, 454, 638, 1157, 585, 18051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14293, 7464, 24529, 8256, 10179, 15733, 21328, 22209, 7651, 2720, 1222, 26296, 7896, 15933, 4647, 14081, 534, 3741, 538, 3486, 1876, 282, 7896, 10890, 5516, 295, 2214, 20890, 25187, 10048, 3011, 1005, 300, 4215, 7998, 282, 16373, 20332, 8249, 14303, 841, 290, 4149, 340, 924, 20003, 302, 4750, 5746, 302, 4750, 13967, 302, 4653, 19868, 2524, 7797, 32391, 5044, 282, 28597, 8624, 8435, 3891, 731, 593, 519, 9335, 5415, 19968, 11473, 22711, 7797, 19968, 23093, 4751, 24728, 306, 30708, 5746, 302, 4750, 8624, 8435, 1603, 282, 2349, 9233, 13731, 9372, 631, 15501, 13825, 13860, 590, 1181, 30537, 962, 10224, 5415, 289, 11669, 667, 20683, 3399, 1575, 11833, 24728, 11473, 24728, 23093, 4751, 9359, 1575, 14351, 3004, 14982, 15812, 1115, 306, 30708, 289, 4637, 4467, 14293, 7464, 24529, 290, 7951, 885, 3356, 282, 28358, 999, 10501, 11750, 5719, 1023, 26296, 7896, 293, 1495, 338, 1805, 4169, 7312, 14559, 8624, 8435, 3834, 4531, 19192, 282, 2349, 9233, 3891, 731, 593, 519, 9335, 300, 2292, 6826, 520, 2171, 953, 5917, 16014, 288, 3650, 540, 519, 570, 1901, 5415, 20003, 302, 4750, 22711, 7797, 15812, 564, 4578, 15812, 1115, 11473, 15812, 1115, 23093, 4751, 300, 2292, 6826, 520, 23093, 4751, 5353, 29290, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 5983, 14750, 3163, 1315, 9605, 1546, 11421, 5811, 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, 8080, 547, 938, 4241, 3460, 883, 519, 1158, 540, 18915, 4915, 256, 901, 7936, 540, 2257, 9388, 609, 519, 1072, 543, 19210, 540, 7068, 609, 1394, 321, 2158, 267, 849, 1634, 607, 30900, 269, 2334, 2882, 782, 5686, 540, 2831, 596, 1522, 917, 1107, 5243, 267, 7314, 267, 9640, 267, 5017, 267, 3165, 267, 1256, 20641, 543, 27738, 256, 2913, 781, 4685, 4514, 883, 1018, 2306, 18915, 4915, 865, 1271, 543, 4277, 780, 5331, 1373, 2111, 547, 948, 1312, 10130, 543, 3552, 2831, 950, 789, 5749, 1405, 4743, 1134, 267, 1175, 899, 7189, 1416, 585, 1004, 256, 16076, 514, 12579, 630, 7474, 781, 1776, 2012, 585, 3662, 7189, 264, 960, 2182, 1169, 1554, 547, 2327, 707, 11537, 2915, 610, 3032, 13978, 6126, 543, 2635, 269, 1809, 741, 2816, 4422, 3564, 602, 282, 621, 11498, 547, 4543, 856, 3484, 2831, 267, 16678, 23291, 1814, 1562, 267, 543, 1256, 1346, 2713, 538, 519, 3552, 256, 1215, 3579, 568, 602, 2496, 1103, 4516, 4805, 267, 811, 982, 2947, 8536, 5722, 4627, 14830, 12579, 5249, 24091, 1394, 538, 476, 2735, 278, 267, 543, 1631, 741, 2338, 1332, 676, 1472, 1079, 4627, 15823, 1007, 4648, 1142, 1032, 269, 1358, 666, 723, 1114, 4025, 1141, 789, 2322, 741, 1983, 547, 946, 1765, 16341, 949, 3442, 547, 2661, 538, 519, 24781, 267, 8156, 16933, 267, 13265, 267, 543, 824, 2185, 6122, 13949, 2828, 593, 11396, 269, 11524, 1223, 1930, 19190, 538, 14297, 4872, 267, 23695, 547, 3875, 4620, 5411, 3168, 1310, 6539, 2906, 267, 12470, 619, 267, 1612, 12783, 267, 543, 811, 256, 2368, 1654, 1206, 1265, 2933, 2324, 538, 5238, 971, 607, 22475, 267, 18186, 657, 267, 9945, 267, 543, 2229, 3906, 1932, 269, 1656, 7058, 1018, 286, 2859, 543, 811, 1654, 1206, 616, 7446, 2749, 1272, 891, 2395, 2439, 3383, 267, 875, 1281, 835, 1831, 513, 17022, 286, 4270, 267, 1101, 1919, 1101, 910, 2104, 14830, 12579, 991, 547, 2347, 827, 1079, 1296, 540, 2852, 7041, 1572, 834, 2181, 557, 614, 2435, 2866, 2437, 1565, 1585, 5396, 1898, 585, 1620, 2831, 543, 3782, 269, 30850, 267, 789, 1847, 593, 547, 513, 627, 25891, 2185, 2898, 1296, 540, 7463, 2564, 2090, 267, 1360, 1454, 7567, 1018, 14971, 1480, 7189, 979, 998, 269, 4495, 789, 4309, 741, 26885, 267, 930, 1522, 3136, 4974, 1256, 2417, 267, 21751, 538, 2901, 4359, 5574, 610, 3621, 1382, 780, 3086, 267, 1577, 803, 2671, 1945, 2706, 5863, 256, 9894, 596, 917, 602, 519, 6030, 6594, 676, 27503, 14830, 12579, 1810, 1405, 8428, 1454, 689, 1346, 3144, 909, 676, 11570, 17935, 547, 1831, 13500, 286, 8786, 267, 8197, 256, 22845, 267, 1979, 17190, 267, 17550, 267, 14278, 1108, 1862, 9767, 2012, 621, 256, 2353, 891, 1950, 1913, 1611, 602, 1654, 1206, 1451, 3388, 827, 606, 3662, 781, 1560, 2497, 267, 6418, 3114, 3157, 267, 1418, 3252, 267, 3075, 2360, 267, 3092, 1421, 1818, 873, 3020, 4966, 538, 2921, 1416, 540, 24566, 25097, 899, 16523, 780, 763, 2361, 540, 18915, 4915, 3085, 1405, 2291, 10446, 282, 3079, 267, 621, 13462, 5702, 609, 1896, 824, 2127, 267, 8108, 5121, 602, 4324, 721, 3425, 1932, 256, 1280, 3236, 267, 1705, 596, 8275, 602, 8384, 936, 519, 1072, 540, 2831, 3006, 2337, 3589, 1761, 2152, 7133, 1004, 286, 2107, 5310, 596, 4862, 827, 8320, 1141, 8906, 1500, 1247, 6313, 2831, 3366, 3744, 547, 1020, 1732, 11955, 585, 3025, 286, 1452, 6909, 6402, 1106, 851, 540, 1018, 649, 1289, 834, 1260, 1706, 894, 4915, 257, 543, 834, 21504, 1072, 2437, 799, 13686, 1946, 5885, 18915, 4915, 6927, 1259, 3564, 3274, 15962, 938, 20036, 15274, 780, 7661, 267, 594, 1616, 596, 547, 2743, 1079, 2010, 540, 18915, 4915, 12665, 945, 1445, 593, 1808, 2516, 540, 2831, 269, 5253, 12845, 2711, 1654, 1206, 4142, 6510, 741, 11678, 547, 4509, 1434, 1072, 1851, 13184, 6659, 585, 5779, 2504, 267, 4180, 5683, 2126, 543, 2922, 1426, 2959, 269, 2201, 519, 16212, 2427, 267, 4952, 2348, 513, 4387, 9003, 13991, 547, 12391, 585, 6263, 8423, 9094, 267, 17544, 267, 25647, 14918, 267, 543, 824, 2370, 7068, 1082, 3885, 1832, 607, 10130, 1107, 3884, 1405, 602, 4313, 532, 286, 9540, 3662, 1654, 1206, 798, 10502, 602, 267, 3246, 11108, 1416, 547, 938, 19644, 17927, 13355, 15274, 2439, 3528, 1631, 267, 594, 4126, 596, 1745, 6273, 6616, 811, 827, 18915, 4915, 543, 922, 2956, 269, 5457, 267, 621, 3217, 13730, 2043, 8149, 547, 4543, 2831, 2462, 543, 1507, 267, 512, 877, 610, 3552, 267, 7700, 3648, 547, 2486, 543, 1857, 1072, 269, 12344, 14693, 267, 9358, 1522, 6443, 713, 15626, 2014, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 309, 2678, 2435, 6925, 267, 519, 2257, 7231, 609, 1072, 543, 2068, 538, 30900, 267, 814, 3498, 547, 476, 275, 3376, 11890, 281, 6469, 2831, 267, 7320, 267, 13354, 4915, 543, 5398, 2657, 269, 769, 4516, 538, 476, 2735, 278, 267, 972, 941, 5111, 476, 31816, 271, 24015, 3742, 14830, 12579, 282, 713, 1297, 786, 4473, 676, 476, 7742, 12422, 269, 16076, 514, 12579, 616, 7856, 538, 10199, 3160, 2338, 538, 4357, 6917, 2259, 267, 4357, 4683, 2259, 543, 12250, 7694, 267, 855, 519, 8167, 538, 4683, 2259, 568, 8375, 269, 27259, 2069, 3340, 693, 2547, 476, 273, 1296, 540, 6280, 840, 557, 614, 2435, 2866, 267, 4553, 676, 476, 275, 1296, 540, 3318, 6044, 269, 5403, 12392, 2866, 538, 4791, 610, 1382, 3292, 568, 17298, 676, 476, 1015, 268, 736, 260, 540, 18915, 20021, 269, 634, 18915, 6437, 568, 2147, 547, 602, 540, 1480, 4915, 269, 634, 18915, 3924, 568, 6896, 25422, 538, 519, 8225, 27259, 6481, 5948, 543, 538, 1142, 11662, 607, 513, 21621, 7681, 563, 32747, 18915, 4915, 267, 1519, 1426, 12845, 2711, 267, 1507, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6961, 12361, 303, 284, 23259, 269, 1012, 13648, 3226, 12193, 519, 2243, 540, 2436, 972, 616, 26128, 10687, 10968, 2042, 693, 782, 2439, 2171, 29285, 917, 1082, 26128, 10687, 10968, 2042, 269, 1323, 630, 514, 14814, 264, 1592, 666, 581, 1336, 538, 1496, 277, 4940, 634, 1034, 4583, 3283, 616, 4440, 20389, 267, 12928, 2355, 871, 630, 6011, 547, 4452, 513, 14903, 1070, 543, 10707, 6455, 2006, 630, 22772, 519, 20125, 1259, 547, 782, 5561, 1040, 1284, 1294, 602, 26128, 10687, 10968, 2042, 616, 711, 1175, 513, 7811, 19209, 267, 741, 3435, 723, 13075, 1871, 256, 5620, 596, 2479, 9289, 875, 2011, 6050, 5234, 741, 19426, 286, 2107, 875, 14884, 616, 16516, 286, 1703, 941, 32422, 602, 5899, 817, 523, 779, 6454, 540, 5119, 3818, 4124, 1496, 278, 316, 1336, 922, 1259, 883, 2011, 4802, 518, 15483, 335, 1080, 256, 8074, 267, 602, 649, 5206, 476, 3422, 280, 950, 646, 4389, 519, 5119, 20800, 689, 12361, 274, 1012, 547, 12361, 273, 269, 3199, 278, 1012, 269, 1548, 568, 1100, 15555, 528, 267, 5899, 817, 523, 4503, 513, 914, 602, 12361, 623, 284, 23259, 1012, 1131, 723, 1044, 4956, 1354, 519, 13524, 2540, 8694, 269, 594, 1589, 519, 4890, 1032, 729, 476, 1960, 279, 855, 594, 6557, 711, 2386, 594, 3314, 621, 7157, 269, 1261, 4503, 513, 7552, 936, 519, 32595, 538, 513, 17891, 780, 2162, 932, 1734, 602, 623, 284, 23259, 692, 10048, 785, 571, 3397, 3863, 531, 267, 3026, 518, 1690, 28270, 531, 267, 543, 21193, 514, 29017, 6511, 3370, 606, 5690, 538, 476, 1220, 273, 602, 16976, 2436, 606, 8870, 568, 6305, 610, 711, 538, 9971, 942, 1510, 1210, 28756, 999, 899, 519, 681, 22044, 2335, 8367, 269, 9747, 519, 6305, 1297, 1966, 568, 538, 623, 269, 634, 521, 10079, 540, 661, 7806, 739, 1156, 525, 568, 711, 538, 623, 269, 901, 3085, 1406, 2995, 721, 2943, 875, 2182, 519, 26458, 1966, 568, 269, 1284, 4867, 1152, 917, 602, 621, 568, 538, 26128, 267, 855, 711, 952, 621, 568, 26128, 10687, 10968, 610, 1256, 538, 623, 780, 763, 623, 5288, 269, 26128, 2243, 814, 513, 10952, 10155, 267, 1932, 269, 1284, 917, 513, 2603, 540, 2042, 267, 1082, 540, 799, 616, 1256, 1483, 8996, 2042, 267, 602, 616, 538, 26128, 269, 3767, 267, 616, 789, 2731, 11371, 1231, 1227, 2182, 267, 610, 616, 649, 1175, 1932, 31945, 547, 4194, 873, 609, 513, 5100, 9971, 678, 29025, 5690, 286, 634, 5817, 13429, 568, 602, 9971, 678, 29025, 568, 798, 762, 267, 6466, 26128, 3620, 731, 2042, 2154, 12825, 678, 29025, 267, 543, 616, 3976, 711, 798, 762, 607, 4166, 607, 519, 3403, 3259, 568, 540, 1022, 1719, 269, 901, 568, 811, 540, 513, 10952, 2864, 982, 513, 4052, 2243, 269, 17610, 267, 9971, 678, 29025, 6620, 616, 5488, 982, 12825, 678, 29025, 6620, 267, 543, 538, 1880, 267, 4443, 547, 2087, 2417, 269, 1717, 267, 713, 568, 1152, 3020, 607, 1279, 607, 519, 21335, 616, 540, 1507, 5232, 269, 1323, 26128, 10687, 10968, 1966, 799, 649, 1223, 4194, 538, 12361, 302, 3799, 3867, 263, 1015, 3867, 1911, 271, 348, 14587, 4297, 1012, 3268, 1131, 1869, 2154, 513, 1360, 267, 1360, 2462, 3684, 547, 2965, 14892, 621, 269, 898, 1131, 6961, 12361, 303, 284, 23259, 1012, 855, 1131, 581, 540, 2370, 948, 547, 4452, 513, 14903, 269, 1924, 2484, 267, 1152, 12825, 678, 29025, 6620, 593, 15002, 2065, 7384, 6191, 616, 1634, 585, 6061, 26128, 10687, 10968, 2042, 4010, 269, 1717, 267, 621, 568, 711, 8810, 602, 972, 616, 1100, 9971, 678, 29025, 6620, 585, 519, 3070, 267, 538, 4334, 547, 1776, 1362, 540, 2042, 602, 616, 16798, 547, 1491, 693, 2547, 12825, 4881, 942, 543, 616, 3976, 1008, 762, 3544, 623, 780, 7197, 3744, 3494, 602, 12361, 303, 315, 928, 336, 26128, 267, 1012, 1775, 4318, 269, 602, 972, 616, 2731, 2182, 2042, 602, 3112, 581, 12193, 15002, 12264, 538, 9971, 678, 29025, 269, 1717, 267, 2394, 476, 1220, 273, 267, 1082, 3744, 1522, 723, 2219, 602, 623, 6020, 10933, 568, 711, 538, 623, 267, 1932, 267, 610, 1152, 952, 519, 6905, 681, 22044, 2335, 8367, 6585, 780, 763, 2243, 623, 8957, 26128, 1500, 621, 593, 519, 1592, 540, 519, 26992, 16101, 2042, 540, 519, 22110, 9119, 4659, 538, 476, 1220, 271, 269, 1496, 280, 6540, 314, 272, 316, 808, 269, 15751, 267, 774, 20166, 339, 332, 10458, 267, 14825, 22760, 267, 1975, 2350, 1156, 3768, 16549, 24739, 523, 24166, 1323, 342, 2658, 454, 289, 9560, 1748, 529, 2583, 2382, 26623, 267, 28553, 8583, 267, 654, 1329, 267, 2098, 6686, 5341, 267, 476, 2735, 274, 454, 3725, 328, 515, 769, 8971, 1731, 17020, 476, 4343, 692, 314, 273, 316, 2977, 13860, 654, 773, 515, 267, 1133, 518, 325, 6686, 961, 8663, 651, 527, 968, 331, 9734, 892, 4813, 601, 333, 3541, 589, 1380, 10402, 8421, 1731, 2676, 289, 14209, 541, 18464, 267, 3057, 7921, 476, 1001, 276, 454, 10059, 2517, 4178, 8807, 1716, 27376, 3620, 10402, 19709, 19072, 2969, 26154, 2316, 298, 22230, 19616, 9706, 889, 338, 11320, 773, 515, 1532, 14209, 15005, 692, 314, 274, 316, 1548, 568, 513, 21723, 538, 9119, 888, 10059, 2517, 4178, 19657, 12695, 1721, 4548, 2593, 270, 1231, 2074, 270, 6343, 28104, 8584, 2389, 16428, 270, 692, 314, 275, 316, 9504, 281, 6348, 5937, 9057, 514, 2065, 570, 1005, 10724, 454, 10059, 2517, 523, 25769, 3820, 28293, 21610, 1180, 9057, 514, 2065, 318, 307, 1005, 8548, 22389, 258, 21008, 2581, 318, 5976, 318, 31642, 636, 318, 28669, 619, 692, 314, 276, 316, 8845, 589, 541, 976, 517, 454, 10059, 2517, 2675, 27198, 541, 976, 517, 269, 24108, 270, 286, 335, 284, 2735, 692, 314, 277, 316, 9504, 281, 26128, 10687, 10968, 2042, 454, 10059, 2517, 523, 25769, 3820, 28293, 270, 8266, 15058, 318, 23259, 10687, 10968, 318, 2889, 21793, 692, 314, 278, 316, 5899, 817, 523, 267, 966, 1421, 21714, 17594, 568, 711, 6099, 267, 476, 3422, 280, 267, 23168, 269, 4569, 269, 630, 3422, 280, 264, 476, 1724, 281, 476, 30500, 269, 8222, 281, 1015, 269, 1911, 278, 20324, 293, 28512, 4792, 275, 1556, 692, 314, 279, 316, 21634, 1460, 10557, 267, 661, 710, 9980, 1372, 1188, 31258, 516, 1047, 678, 1495, 19804, 3954, 2142, 933, 529, 13153, 623, 8957, 26128, 2676, 13312, 680, 558, 541, 18464, 267, 3400, 345, 476, 1708, 271, 454, 10059, 2517, 684, 760, 889, 26509, 328, 3766, 23432, 269, 520, 270, 984, 341, 1872, 9071, 338, 270, 20880, 14121, 1856, 16769, 270, 4366, 280, 14530, 279, 270, 21459, 15005, 692, 314, 280, 316, 9504, 281, 7085, 3317, 1756, 15356, 10819, 4179, 2517, 523, 25769, 3820, 28293, 19072, 650, 3317, 1756, 318, 303, 10078, 318, 3682, 21793, 692, 30475, 281, 0, 258, 1548, 568, 476, 273, 270, 274, 266, 1015, 270, 1428, 2496, 15037, 476, 1724, 267, 476, 1001, 278, 692, 2971, 19247, 1384, 763, 14009, 540, 4399, 2765, 346, 273, 2410, 274, 4151, 568, 1269, 274, 6911, 663, 14009, 540, 4399, 2765, 346, 1015, 2410, 1428, 4151, 568, 1269, 1428, 6911, 2171, 666, 1039, 1079, 8454, 1152, 952, 741, 32159, 616, 1482, 610, 1455, 780, 2026, 513, 6824, 4399, 2765, 346, 273, 2410, 274, 4151, 1281, 711, 1689, 950, 19362, 543, 14009, 616, 16611, 676, 1482, 1297, 10484, 1156, 576, 547, 1265, 1455, 14009, 267, 649, 786, 723, 547, 9062, 19362, 543, 14009, 540, 1142, 6824, 616, 676, 513, 1297, 630, 531, 18464, 1114, 2338, 1070, 865, 602, 32159, 1831, 1482, 780, 1607, 568, 2944, 676, 7114, 2274, 770, 5871, 13038, 630, 9448, 300, 264, 540, 519, 1079, 32159, 780, 2080, 700, 13967, 540, 1269, 274, 259, 543, 1269, 1428, 259, 568, 1269, 1428, 259, 543, 8754, 649, 666, 6460, 1312, 32159, 512, 335, 1269, 1428, 8961, 855, 538, 2034, 6824, 267, 621, 568, 2907, 865, 780, 17798, 14921, 19362, 543, 14009, 540, 1101, 676, 1269, 276, 8961, 649, 1205, 4399, 2765, 346, 273, 1422, 9392, 476, 276, 2410, 274, 1422, 9392, 476, 276, 348, 815, 1422, 2765, 346, 1015, 2410, 1428, 10592, 17798, 267, 4399, 2765, 346, 273, 2410, 274, 348, 1341, 1422, 2765, 346, 1015, 2410, 1428, 348, 815, 1422, 2765, 346, 1015, 2410, 1428, 348, 1341, 1422, 2765, 346, 1015, 2410, 1428, 348, 815, 1422, 2765, 346, 736, 2410, 1428, 31859, 15037, 476, 1691, 267, 476, 1001, 278, 692, 7445, 2765, 346, 275, 2410, 274, 4151, 610, 1269, 272, 1422, 2765, 346, 272, 2410, 274, 10592, 2971, 19247, 1384, 7445, 2765, 346, 273, 2410, 274, 348, 1341, 1422, 2765, 346, 1015, 2410, 1428, 10592, 7445, 11004, 1150, 1422, 2765, 346, 1015, 1341, 476, 1015, 2410, 1428, 10592, 7445, 11004, 1150, 11513, 322, 30327, 346, 736, 3686, 3867, 275, 348, 1315, 11513, 322, 30327, 346, 1428, 3686, 3867, 274, 10592, 7445, 11004, 1150, 1422, 2765, 346, 275, 2410, 274, 4151, 610, 259, 272, 1422, 2765, 346, 272, 2410, 274, 10592, 273, 526, 4781, 1384, 7445, 11004, 1150, 1422, 2765, 346, 273, 2410, 274, 348, 1341, 11513, 322, 30327, 346, 1015, 3686, 3867, 273, 348, 1315, 11513, 322, 30327, 346, 1428, 3686, 3867, 274, 10592, 7445, 11004, 1150, 1422, 2765, 346, 273, 2410, 274, 348, 1341, 1422, 2765, 346, 273, 2410, 274, 10592, 7445, 2765, 346, 275, 2410, 274, 4151, 610, 1269, 272, 1422, 2765, 346, 272, 2410, 274, 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 ]
[ 649, 666, 1265, 873, 267, 568, 540, 1576, 1930, 547, 7521, 1848, 0, 302, 20213, 262, 568, 2407, 540, 2669, 267, 1142, 10771, 9956, 781, 6835, 998, 519, 5133, 540, 519, 5304, 269, 769, 2489, 267, 519, 7972, 540, 2677, 12047, 7431, 267, 2506, 23158, 267, 14339, 518, 15282, 267, 543, 30777, 616, 519, 13249, 1267, 540, 594, 6210, 781, 26760, 543, 4731, 823, 563, 763, 3803, 6429, 538, 30777, 568, 16041, 609, 7972, 269, 5272, 1915, 602, 5747, 538, 519, 1404, 729, 513, 6408, 540, 594, 6210, 779, 30081, 4729, 269, 594, 6210, 11739, 342, 14339, 518, 15282, 543, 2506, 23158, 547, 2226, 519, 7406, 1472, 1010, 10325, 269, 1261, 7166, 547, 1832, 873, 14980, 267, 3206, 602, 646, 1223, 1869, 11677, 1010, 3382, 269, 594, 6210, 729, 28067, 267, 1317, 646, 1705, 2800, 547, 1866, 1152, 547, 14183, 1010, 1378, 14031, 269, 3571, 4729, 8694, 538, 519, 1034, 25031, 1259, 267, 543, 621, 779, 1439, 4769, 1406, 17854, 519, 1797, 267, 1317, 646, 3893, 9575, 563, 302, 20213, 11739, 342, 2677, 12047, 7431, 585, 8956, 543, 5126, 269, 4014, 646, 729, 4636, 267, 1010, 2962, 666, 581, 10169, 20582, 267, 607, 1010, 3483, 729, 24669, 269, 30777, 729, 2907, 4666, 3330, 1354, 646, 8149, 11980, 269, 634, 3017, 538, 1010, 1915, 1354, 543, 1310, 519, 31112, 6429, 568, 7415, 269, 594, 6210, 12777, 547, 516, 30777, 6306, 543, 32206, 1864, 267, 1128, 3739, 538, 1864, 513, 2898, 1007, 1305, 540, 5013, 543, 2093, 269, 30777, 7166, 5128, 950, 646, 7691, 519, 5168, 267, 1317, 1010, 2025, 1582, 729, 2907, 8854, 267, 711, 547, 2446, 519, 2648, 540, 1010, 1272, 269, 3571, 11980, 4553, 519, 8216, 602, 646, 22283, 856, 540, 1642, 4288, 267, 543, 1010, 2669, 729, 606, 31135, 267, 1317, 621, 695, 13593, 519, 31605, 540, 5168, 269, 30777, 779, 2669, 11943, 519, 1404, 267, 21757, 909, 1169, 9114, 602, 594, 6210, 1185, 18955, 563, 8489, 798, 596, 1616, 721, 547, 6494, 713, 3732, 888, 6826, 6297, 269, 901, 1557, 568, 711, 2189, 454, 1607, 1557, 729, 24603, 676, 513, 2875, 543, 568, 2693, 547, 723, 1044, 1031, 543, 11643, 1354, 454, 12606, 713, 12726, 454, 10403, 5439, 949, 2270, 9073, 543, 711, 2189, 2694, 454, 28989, 267, 649, 1223, 711, 22950, 19189, 713, 1557, 269, 3776, 3318, 5830, 666, 27682, 621, 543, 1205, 596, 513, 2189, 1957, 563, 8923, 2638, 707, 28600, 563, 2171, 666, 2328, 596, 513, 2688, 1557, 602, 786, 1246, 707, 3169, 5528, 543, 2743, 519, 21852, 269, 2913, 781, 4368, 707, 9344, 1927, 256, 0, 1103, 519, 1870, 1158, 2221, 267, 972, 781, 513, 3978, 3463, 1572, 26122, 269, 898, 781, 950, 3983, 11051, 2119, 547, 8945, 707, 13539, 676, 11488, 16995, 6835, 269, 4634, 1498, 621, 781, 711, 2706, 7294, 267, 621, 781, 2731, 1434, 693, 18174, 532, 5520, 543, 3478, 1271, 9623, 269, 1924, 267, 596, 991, 547, 581, 4712, 547, 9718, 1996, 621, 563, 8139, 1912, 5109, 5900, 2931, 585, 24371, 454, 4942, 5109, 6285, 616, 3059, 20637, 1305, 676, 6880, 322, 3234, 10904, 547, 13861, 5520, 883, 2820, 592, 3101, 14804, 1344, 267, 971, 607, 21189, 22754, 267, 2883, 1239, 267, 610, 28106, 2754, 1344, 269, 1452, 6285, 2356, 2097, 538, 519, 1106, 540, 20310, 15737, 267, 1257, 6835, 267, 610, 1256, 6049, 7125, 602, 5401, 23700, 547, 1491, 7525, 3527, 602, 4324, 519, 31487, 563, 1692, 6496, 898, 8177, 2659, 6355, 888, 288, 2582, 3811, 26122, 4323, 666, 1291, 547, 1239, 23563, 267, 2883, 9271, 267, 543, 8088, 1049, 3441, 585, 707, 1870, 269, 15536, 322, 3234, 10904, 666, 946, 21687, 1344, 547, 1569, 2565, 1870, 1949, 267, 14207, 6075, 1239, 267, 610, 10131, 811, 10427, 6285, 269, 898, 781, 1898, 547, 5431, 519, 3978, 1145, 540, 713, 3463, 543, 1491, 14942, 3800, 547, 2061, 621, 269, 0, 23682, 2917, 1261, 731, 729, 606, 9058, 1367, 4171, 1272, 1650, 5170, 547, 8300, 1082, 1004, 1256, 2221, 269, 18004, 538, 519, 2038, 476, 736, 628, 2540, 267, 1261, 731, 5030, 998, 930, 540, 519, 1034, 31341, 6681, 2053, 538, 1977, 1686, 267, 1519, 519, 4279, 12870, 267, 2622, 2782, 4083, 267, 543, 519, 6406, 7126, 11873, 269, 6736, 6849, 3875, 2591, 267, 1261, 731, 7283, 32344, 538, 1010, 4978, 543, 6131, 1010, 1272, 547, 7674, 1866, 269, 769, 713, 2376, 267, 649, 786, 1491, 513, 6251, 1413, 693, 519, 1272, 540, 7621, 2917, 1261, 731, 543, 2263, 930, 540, 519, 1883, 8090, 543, 2833, 602, 8032, 1010, 7415, 3460, 563, 15900, 5020, 543, 4065, 454, 23682, 2917, 1261, 731, 729, 4535, 593, 4873, 476, 1428, 267, 476, 4572, 271, 267, 538, 513, 1507, 4884, 538, 6917, 11908, 269, 1261, 729, 519, 21836, 540, 2947, 1453, 543, 8057, 909, 538, 513, 1920, 540, 2671, 23145, 13827, 269, 6736, 519, 2352, 6381, 540, 1010, 909, 32523, 267, 1261, 731, 729, 513, 6505, 543, 16529, 2875, 945, 4597, 539, 538, 1010, 2090, 269, 1261, 729, 3226, 5461, 538, 1686, 543, 6214, 543, 6170, 1454, 540, 1010, 1863, 942, 2542, 2835, 543, 14786, 269, 2991, 11264, 1164, 1153, 267, 1261, 731, 4682, 593, 547, 7390, 2852, 693, 2859, 5264, 5441, 538, 24611, 267, 11908, 269, 898, 729, 1934, 602, 646, 1101, 2968, 3238, 538, 519, 6406, 7126, 11873, 543, 3459, 547, 1020, 513, 2631, 540, 1514, 5126, 602, 1131, 3391, 1864, 2429, 1010, 1272, 563, 5475, 4271, 908, 689, 2852, 267, 1261, 731, 3459, 1010, 4876, 607, 513, 4116, 538, 513, 5302, 27935, 1153, 538, 6917, 11908, 269, 1261, 3533, 2968, 1634, 585, 1010, 5499, 3450, 2409, 543, 1010, 11428, 547, 1010, 1053, 269, 1717, 267, 646, 4166, 2968, 21616, 609, 519, 7687, 540, 519, 5302, 27935, 2069, 1062, 543, 3459, 547, 1413, 585, 1007, 3255, 269, 769, 519, 2038, 476, 4198, 271, 338, 267, 1261, 731, 6410, 547, 1715, 3840, 4975, 267, 1141, 646, 3576, 513, 2816, 609, 519, 19364, 3722, 303, 269, 3371, 267, 646, 5249, 24091, 547, 3895, 3540, 2924, 543, 1514, 5126, 267, 543, 646, 3533, 9782, 998, 519, 16034, 547, 1831, 835, 540, 519, 3919, 779, 1034, 7986, 3401, 563, 763, 6406, 7126, 11873, 454, 9961, 519, 476, 4198, 271, 338, 543, 476, 3422, 271, 338, 267, 1261, 731, 5129, 513, 11358, 1909, 538, 519, 6406, 7126, 11873, 269, 1261, 5249, 5702, 609, 3401, 971, 607, 9410, 13162, 3751, 12789, 269, 543, 3627, 11066, 547, 10891, 17600, 543, 23405, 267, 543, 646, 5129, 513, 1883, 1909, 538, 519, 5610, 540, 3506, 543, 1857, 5624, 2429, 519, 3162, 269, 6736, 6849, 1713, 11685, 543, 1256, 5208, 267, 1261, 731, 7283, 32344, 538, 1010, 7029, 547, 1514, 5126, 269, 1261, 729, 18486, 3875, 2053, 585, 1010, 17933, 267, 855, 646, 2760, 5951, 1042, 538, 1010, 3661, 602, 1689, 729, 2009, 563, 30952, 5020, 543, 22684, 454, 1103, 519, 2663, 1296, 540, 1010, 1272, 267, 1261, 731, 4797, 547, 581, 513, 13730, 12167, 585, 3540, 2924, 543, 1514, 5126, 269, 1261, 5249, 609, 3875, 3906, 543, 5206, 14916, 593, 2152, 971, 607, 6710, 267, 2069, 267, 543, 7292, 8635, 269, 4653, 267, 1261, 731, 568, 15422, 607, 513, 12483, 1652, 12167, 585, 5126, 543, 7862, 269, 3571, 1272, 1650, 5170, 547, 8300, 5481, 540, 15628, 543, 3401, 267, 543, 1010, 9371, 5713, 607, 513, 12576, 540, 519, 1379, 540, 1367, 2962, 547, 1198, 1689, 538, 519, 1158, 563, 1103, 3932, 267, 519, 1272, 540, 7621, 2917, 1261, 731, 568, 513, 15266, 547, 519, 1379, 540, 8990, 267, 10100, 267, 543, 7029, 269, 6736, 6849, 1713, 9465, 267, 1261, 731, 7283, 32344, 538, 1010, 13287, 540, 5126, 543, 7862, 267, 543, 1010, 9371, 5170, 547, 8300, 721, 2221, 269, 6787, 998, 1010, 960, 607, 513, 4116, 267, 513, 3540, 2924, 19191, 267, 610, 513, 5856, 267, 1261, 731, 6131, 1010, 1272, 547, 7674, 1866, 543, 1818, 519, 1158, 513, 1732, 1747, 269, 1284, 666, 782, 1451, 689, 1010, 1383, 543, 11441, 547, 1118, 513, 3017, 538, 938, 1378, 2950, 543, 3564, 269, 0, 2750, 600, 1456, 2436, 7810, 1686, 6927, 585, 2021, 779, 4207, 2804, 4093, 538, 3127, 267, 713, 2376, 2982, 602, 2021, 945, 2661, 538, 2127, 602, 941, 896, 1463, 3703, 4341, 616, 1732, 1055, 538, 2474, 540, 3592, 782, 3800, 540, 2021, 16882, 269, 898, 13187, 602, 3656, 543, 12250, 2242, 4547, 538, 676, 519, 3703, 538, 12797, 540, 2021, 267, 543, 4639, 30816, 1514, 15024, 538, 519, 476, 866, 628, 2540, 949, 581, 4143, 547, 7713, 713, 1279, 3856, 3095, 563, 4407, 3127, 568, 835, 540, 519, 16595, 3395, 11615, 538, 519, 1158, 267, 922, 4775, 11668, 3196, 7589, 630, 14566, 17025, 264, 2557, 814, 7283, 835, 540, 519, 9803, 269, 4340, 547, 519, 11270, 545, 23267, 10414, 11752, 476, 1708, 272, 268, 2420, 267, 1152, 1472, 476, 3066, 260, 540, 2021, 538, 519, 2085, 1895, 476, 1428, 547, 476, 6795, 941, 513, 851, 540, 519, 11668, 3196, 269, 901, 25921, 24716, 609, 519, 11668, 3196, 7589, 2557, 540, 2367, 267, 799, 568, 2673, 547, 476, 10037, 260, 910, 13380, 547, 602, 540, 2919, 2477, 269, 769, 2474, 540, 824, 3800, 540, 4775, 16882, 607, 1134, 267, 3127, 781, 2773, 814, 1044, 1447, 982, 25685, 1107, 607, 829, 519, 2817, 7731, 2657, 11752, 630, 22143, 9391, 264, 476, 1001, 276, 268, 1626, 267, 2673, 547, 476, 2004, 260, 540, 2021, 4080, 602, 789, 3668, 2883, 13190, 543, 8116, 1369, 519, 7622, 563, 4407, 891, 25939, 1459, 513, 1989, 574, 4605, 267, 789, 9633, 513, 2603, 540, 6237, 30846, 269, 2276, 899, 13924, 778, 531, 21423, 267, 20052, 836, 3570, 543, 20474, 24385, 340, 723, 1454, 2362, 18919, 17025, 607, 3379, 547, 519, 3328, 267, 6466, 2829, 899, 4437, 9618, 267, 670, 776, 3570, 543, 23570, 616, 1454, 2630, 519, 3328, 269, 901, 30846, 568, 4767, 693, 519, 8664, 1377, 607, 1134, 267, 1141, 13102, 899, 6341, 770, 760, 584, 543, 23548, 639, 541, 2967, 538, 4437, 9618, 723, 705, 903, 332, 958, 1970, 18919, 17025, 630, 19925, 476, 272, 15992, 1247, 13495, 328, 538, 13924, 778, 531, 21423, 814, 18919, 17025, 3928, 13380, 547, 9038, 630, 19925, 476, 3583, 260, 1916, 1103, 513, 2487, 1957, 630, 301, 663, 342, 8643, 543, 20858, 577, 578, 323, 327, 1722, 476, 1708, 274, 1070, 649, 2263, 2436, 3140, 2188, 666, 948, 2491, 930, 540, 713, 30846, 269, 769, 1880, 267, 649, 8495, 519, 1909, 540, 3127, 781, 7810, 1686, 267, 6580, 1394, 547, 519, 476, 1240, 628, 543, 476, 866, 628, 2540, 267, 538, 7713, 2221, 781, 30846, 538, 2021, 779, 7694, 543, 824, 3800, 540, 2021, 779, 16882, 563, 23873, 3127, 543, 519, 19036, 569, 2829, 454, 19328, 729, 513, 3703, 12733, 585, 2673, 547, 1079, 5553, 1107, 519, 5101, 3127, 7577, 12199, 936, 519, 4095, 1016, 29657, 689, 476, 11260, 278, 547, 476, 6977, 277, 267, 543, 519, 3703, 13862, 3576, 936, 519, 7245, 689, 476, 6977, 279, 547, 476, 3707, 278, 267, 1310, 799, 3127, 2968, 606, 4830, 4182, 269, 1717, 267, 519, 3003, 2197, 729, 711, 896, 1463, 3703, 4341, 281, 1247, 476, 2568, 268, 4792, 260, 540, 519, 1459, 6377, 13102, 941, 896, 1463, 1852, 540, 519, 3703, 630, 1877, 12898, 5219, 547, 607, 1412, 23873, 3127, 30670, 519, 6967, 16922, 540, 1896, 1412, 1440, 1550, 569, 2829, 262, 1107, 2797, 2950, 799, 1185, 741, 1378, 3656, 267, 2797, 543, 11889, 2497, 267, 543, 941, 12199, 676, 22420, 15438, 269, 634, 5101, 3127, 7577, 3323, 922, 21037, 540, 891, 19036, 569, 2829, 538, 476, 11260, 278, 267, 855, 1705, 711, 24509, 782, 519, 4525, 538, 519, 2197, 5097, 1317, 621, 729, 711, 6746, 1227, 543, 20833, 2178, 2614, 547, 17982, 519, 3003, 1016, 29657, 269, 901, 4797, 11489, 476, 6977, 278, 267, 950, 519, 13862, 3576, 936, 519, 7245, 543, 5101, 3127, 7577, 11074, 2417, 24509, 566, 269, 4935, 267, 1369, 519, 1482, 2197, 267, 972, 941, 11182, 602, 3357, 896, 1463, 1852, 540, 519, 3703, 4341, 267, 543, 7810, 4031, 941, 10858, 538, 891, 2127, 269, 634, 19036, 569, 2829, 267, 593, 519, 824, 1688, 267, 10150, 3448, 3656, 267, 2797, 543, 11889, 13190, 269, 272, 454, 8201, 476, 272, 269, 3703, 4095, 13102, 543, 19036, 569, 2829, 1369, 519, 4095, 7276, 563, 1103, 1840, 547, 519, 1259, 891, 4525, 941, 18170, 267, 3703, 3127, 3648, 28209, 689, 19036, 569, 2829, 2059, 12250, 543, 11889, 3515, 269, 1284, 4983, 952, 891, 3604, 723, 1279, 3856, 6286, 593, 1896, 4207, 4093, 585, 4095 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20313, 21506, 20930, 453, 1575, 7272, 340, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 14090, 318, 1575, 20298, 20930, 1477, 4848, 15235, 5897, 5897, 4848, 453, 1012, 4041, 10499, 1477, 4848, 453, 258, 13765, 585, 1101, 6241, 269, 538, 1101, 6241, 596, 18085, 2451, 1477, 4848, 14851, 1863, 6831, 11203, 476, 271, 2433, 1477, 15235, 14851, 11015, 314, 276, 6012, 273, 316, 11203, 1412, 2431, 262, 6769, 20930, 453, 3847, 7272, 340, 14794, 815, 5299, 19709, 788, 32476, 9638, 340, 14794, 3418, 20930, 453, 3847, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 316, 815, 2451, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 268, 272, 15947, 20930, 453, 3847, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 268, 272, 316, 815, 476, 876, 453, 5897, 20930, 453, 30298, 14794, 6831, 3300, 815, 11015, 6831, 3300, 266, 272, 1477, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 271, 316, 815, 11015, 6831, 3300, 1477, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 272, 316, 815, 2451, 7272, 340, 14794, 314, 276, 6012, 272, 27994, 272, 1477, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 273, 316, 815, 1412, 3847, 262, 24653, 20930, 453, 28255, 6910, 630, 3847, 7272, 340, 14794, 10142, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 14090, 318, 3847, 20298, 5897, 24653, 4848, 453, 1012, 291, 32052, 1477, 4848, 453, 258, 13765, 585, 2063, 6151, 269, 538, 2063, 6151, 596, 18085, 1524, 1477, 4848, 14851, 1863, 24417, 11203, 476, 275, 6769, 15235, 14851, 11015, 314, 276, 6012, 273, 316, 11203, 1412, 1575, 262, 6769, 20930, 453, 6658, 7272, 340, 14794, 815, 5299, 19709, 788, 32476, 9638, 340, 14794, 3418, 20930, 453, 6658, 7272, 340, 14794, 314, 1863, 24417, 476, 6012, 1863, 6831, 316, 815, 1524, 7272, 340, 14794, 314, 1863, 24417, 266, 272, 476, 6012, 1863, 6831, 9948, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 1863, 24417, 1341, 272, 476, 6012, 1863, 6831, 9948, 815, 476, 476, 876, 453, 5897, 20930, 453, 30298, 14794, 6831, 3300, 815, 11015, 6831, 3300, 266, 272, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 271, 316, 815, 11015, 6831, 3300, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 272, 316, 815, 1524, 7272, 340, 14794, 314, 276, 6012, 272, 27994, 272, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 273, 316, 815, 1412, 6658, 262, 1477, 4848, 15235, 5897, 20930, 453, 28255, 6910, 630, 6658, 7272, 340, 14794, 10142, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 14090, 5091, 1144, 20298, 453, 1477, 20930, 5897, 4848, 453, 1012, 305, 20846, 1477, 4848, 453, 258, 13765, 585, 2063, 6241, 269, 538, 2063, 6241, 596, 18085, 1318, 1477, 4848, 14851, 1863, 6831, 11203, 476, 275, 2433, 1477, 15235, 14851, 11015, 314, 276, 6012, 273, 316, 11203, 1412, 3847, 262, 6769, 20930, 453, 2431, 7272, 340, 14794, 815, 5299, 19709, 788, 32476, 9638, 340, 14794, 3418, 20930, 453, 2431, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 316, 815, 1318, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 266, 272, 15947, 20930, 453, 2431, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 266, 272, 316, 815, 476, 876, 5897, 20930, 453, 30298, 14794, 6831, 3300, 815, 11015, 6831, 3300, 266, 272, 1477, 20930, 453, 2431, 7272, 340, 14794, 314, 276, 6012, 271, 316, 815, 11015, 6831, 3300, 1477, 20930, 453, 2431, 7272, 340, 14794, 314, 276, 6012, 272, 316, 815, 1318, 7272, 340, 14794, 314, 276, 6012, 272, 27994, 272, 1477, 20930, 453, 2431, 7272, 340, 14794, 314, 276, 6012, 273, 316, 815, 1412, 2431, 262, 24653, 20930, 453, 28255, 6910, 630, 2431, 7272, 340, 14794, 10142, 20930, 453, 2431, 7272, 340, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 14090, 318, 2431, 20298, 2971, 7462, 1439, 540, 476, 645, 12396, 5897, 258, 21228, 21228, 21228, 21228, 21228, 21228, 3071, 1029, 5897, 5992, 2971, 2162, 5254, 11286, 594, 9169, 1477, 604, 630, 14142, 8548, 1385, 2652, 1412, 274, 262, 8029, 453, 1477, 453, 23637, 6910, 630, 30298, 14794, 273, 10142, 453, 6112, 476, 272, 281, 5897, 453, 453, 28744, 9497, 315, 333, 1805, 871, 9847, 14307, 23637, 10142, 453, 453, 258, 933, 991, 713, 952, 1317, 649, 1058, 1376, 936, 950, 10518, 568, 8900, 543, 649, 21645, 1265, 1022, 4267, 2943, 23228, 453, 453, 258, 865, 1101, 649, 2638, 10518, 952, 621, 568, 8900, 1213, 572, 10917, 318, 3916, 527, 543, 7903, 938, 2243, 547, 10518, 543, 1376, 936, 1477, 453, 14851, 7003, 263, 23637, 264, 2652, 476, 271, 6769, 4848, 453, 31184, 318, 3916, 527, 815, 10917, 318, 3916, 527, 266, 272, 1477, 4848, 13537, 2891, 307, 4932, 303, 700, 8379, 3951, 5442, 290, 3918, 3008, 3633, 8206, 30314, 30314, 815, 14307, 31184, 318, 3916, 527, 3418, 4848, 453, 23637, 6910, 630, 30298, 14794, 273, 3418, 4848, 453, 11666, 826, 1477, 453, 1477, 453, 453, 258, 2903, 1007, 11015, 689, 10518, 1477, 453, 453, 30298, 14794, 815, 10518, 21014, 14052, 5897, 453, 453, 258, 13765, 621, 568, 12193, 610, 711, 1477, 453, 14851, 630, 30298, 14794, 314, 271, 281, 276, 316, 2652, 12193, 314, 271, 281, 276, 316, 8029, 4848, 13537, 9497, 315, 333, 14826, 14826, 25275, 7807, 333, 8587, 25663, 309, 3633, 30314, 30314, 30314, 8627, 315, 333, 25275, 7807, 333, 14826, 14826, 257, 10142, 4848, 453, 258, 3553, 4194, 9206, 547, 476, 272, 585, 1820, 4786, 21506, 4848, 453, 338, 9876, 318, 4148, 698, 815, 476, 272, 5897, 4848, 453, 258, 933, 16289, 1412, 21129, 880, 262, 547, 4786, 20313, 547, 1265, 856, 950, 649, 21645, 723, 1022, 824, 1847, 1477, 4848, 453, 30298, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 21129, 880, 262, 10142, 4848, 453, 19874, 5897, 453, 453, 258, 649, 1058, 3247, 813, 2056, 13410, 602, 723, 3268, 811, 982, 10917, 318, 3916, 527, 23228, 453, 453, 258, 865, 649, 666, 21645, 13410, 602, 741, 3993, 723, 3268, 835, 1447, 982, 3970, 23228, 453, 453, 258, 585, 1383, 952, 10917, 318, 3916, 527, 568, 476, 276, 543, 3993, 11015, 723, 476, 276, 3268, 922, 1453, 786, 723, 476, 277, 1900, 543, 649, 1058, 660, 1039, 873, 269, 21506, 453, 14851, 11015, 314, 276, 6012, 272, 316, 13843, 10917, 318, 3916, 527, 6769, 4848, 453, 11666, 826, 1477, 453, 5897, 453, 453, 258, 325, 4193, 1863, 1591, 1071, 3581, 1477, 453, 22610, 1775, 538, 2039, 630, 271, 267, 276, 8029, 4848, 22610, 795, 538, 2039, 630, 271, 267, 276, 8029, 15235, 14851, 11015, 5157, 6012, 329, 316, 2652, 476, 876, 6769, 20930, 453, 16451, 24417, 815, 1775, 1477, 20930, 453, 16451, 6831, 815, 795, 5897, 20930, 1477, 453, 453, 258, 13765, 649, 6603, 547, 3193, 3178, 610, 711, 1477, 453, 14851, 630, 30298, 14794, 314, 276, 6012, 272, 316, 283, 10946, 14067, 788, 2567, 24653, 4848, 453, 258, 289, 308, 6579, 291, 5058, 21832, 715, 7495, 2464, 5897, 4848, 453, 1012, 16810, 1477, 4848, 453, 258, 13765, 585, 1101, 4737, 269, 538, 1101, 4737, 596, 18085, 909, 1477, 4848, 14851, 1863, 24417, 11203, 476, 271, 2433, 1477, 15235, 453, 258, 13765, 585, 2063, 1847, 269, 952, 2063, 1847, 729, 1524, 596, 18085, 909, 1477, 15235, 14851, 11015, 314, 276, 6012, 273, 316, 11203, 1412, 6658, 262, 2433, 1477, 20930, 453, 258, 14708, 513, 2620, 5299, 689, 11015, 547, 1689, 602, 1477, 20930, 453, 1575, 7272, 340, 14794, 815, 5299, 19709, 788, 32476, 9638, 340, 14794, 264, 453, 5897, 20930, 453, 258, 577, 4474, 11015, 1477, 20930, 453, 1575, 7272, 340, 14794, 314, 1863, 24417, 476, 6012, 1863, 6831, 316, 815, 909, 7272, 340, 14794, 314, 1863, 24417, 268, 272, 476, 6012, 1863, 6831, 9948, 1477, 20930, 453, 1575, 7272, 340, 14794, 314, 1863, 24417, 910, 272, 476, 6012, 1863, 6831, 9948, 815, 476, 876, 24653, 20930, 453, 258, 27463, 848, 11015, 4831, 543, 4688, 602, 1477, 20930, 453, 30298, 14794, 6831, 3300, 815, 11015, 6831, 3300, 266, 272, 1477, 20930, 453, 1575, 7272, 340, 14794, 314, 276, 6012, 271, 316, 815, 11015, 6831, 3300, 453, 5897, 20930, 453, 258, 338, 3058, 2799, 1900, 1477, 20930, 453, 1575, 7272, 340, 14794, 314, 276, 6012, 272, 316, 815, 909, 7272, 340, 14794, 314, 276, 6012, 272, 27994, 272, 453, 5897, 20930, 453, 258, 338, 3058, 2063, 1847, 1477, 20930, 453, 1575, 7272, 340, 14794, 314, 276, 6012, 273, 316, 815, 1412, 1575, 262, 5897, 20930, 453, 258, 339, 1248, 593, 909, 9206, 269, 621, 786, 581, 13761, 950, 713, 11015, 1058, 581, 30528, 1862, 1477, 20930, 453, 258, 933, 10518, 11015, 2663, 269, 630, 30161, 7134, 3418, 20930, 453, 1575, 318, 4148, 698, 815, 476, 272, 5897, 20930, 453, 258, 6572, 4786, 318, 1575, 547, 519, 4786, 20313, 21506, 20930, 453, 1575, 7272, 340, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 14090, 318, 1575, 20298, 20930, 5897, 5897, 4848, 453, 1012, 4041, 10499, 1477, 4848, 453, 258, 13765, 585, 1101, 6241, 269, 538, 1101, 6241, 596, 18085, 2451, 1477, 4848, 14851, 1863, 6831, 11203, 476, 271, 2433, 1477, 15235, 14851, 11015, 314, 276, 6012, 273, 316, 11203, 1412, 2431, 262, 6769, 20930, 453, 3847, 7272, 340, 14794, 815, 5299, 19709, 788, 32476, 9638, 340, 14794, 3418, 20930, 453, 3847, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 316, 815, 2451, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 268, 272, 15947, 20930, 453, 3847, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 268, 272, 316, 815, 476, 876, 453, 5897, 20930, 453, 30298, 14794, 6831, 3300, 815, 11015, 6831, 3300, 266, 272, 1477, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 271, 316, 815, 11015, 6831, 3300, 1477, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 272, 316, 815, 2451, 7272, 340, 14794, 314, 276, 6012, 272, 27994, 272, 1477, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 273, 316, 815, 1412, 3847, 262, 5897, 20930, 453, 3847, 318, 4148, 698, 815, 476, 272, 5897, 20930, 453, 3847, 7272, 340, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 14090, 318, 3847, 20298, 5897, 24653, 4848, 453, 1012, 291, 32052, 1477, 4848, 453, 258, 13765, 585, 2063, 6151, 269, 538, 2063, 6151, 596, 18085, 1524, 1477, 4848, 14851, 1863, 24417, 11203, 476, 275, 6769, 15235, 14851, 11015, 314, 276, 6012, 273, 316, 11203, 1412, 1575, 262, 6769, 20930, 453, 6658, 7272, 340, 14794, 815, 5299, 19709, 788, 32476, 9638, 340, 14794, 3418, 20930, 453, 6658, 7272, 340, 14794, 314, 1863, 24417, 476, 6012, 1863, 6831, 316, 815, 1524, 7272, 340, 14794, 314, 1863, 24417, 266, 272, 476, 6012, 1863, 6831, 9948, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 1863, 24417, 1341, 272, 476, 6012, 1863, 6831, 9948, 815, 476, 476, 876, 453, 5897, 20930, 453, 30298, 14794, 6831, 3300, 815, 11015, 6831, 3300, 266, 272, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 271, 316, 815, 11015, 6831, 3300, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 272, 316, 815, 1524, 7272, 340, 14794, 314, 276, 6012, 272, 27994, 272, 1477, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 273, 316, 815, 1412, 6658, 262, 5897, 20930, 453, 6658, 318, 4148, 698, 815, 476, 272, 5897, 20930, 453, 6658, 7272, 340, 14794, 314, 276, 6012, 274, 4940, 6572, 3488, 14090, 5091, 1144, 20298, 20930, 24653, 4848, 453, 1012, 305, 20846, 1477, 4848, 453, 258, 13765, 585, 2063, 6241, 269, 538, 2063, 6241, 596, 18085, 1318, 1477, 4848, 14851, 1863, 6831, 11203, 476, 275, 2433, 1477, 15235, 14851, 11015, 314, 276, 6012, 273, 316, 11203, 1412, 3847, 262, 6769, 20930, 453, 2431, 7272, 340, 14794, 815, 5299, 19709, 788, 32476, 9638, 340, 14794, 3418, 20930, 453, 2431, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 316, 815, 1318, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 266, 272, 15947, 20930, 453, 2431, 7272, 340, 14794, 314, 16451, 24417, 6012, 16451, 6831, 266, 272, 316, 815, 476, 876, 5897, 20930, 453, 30298, 14794, 6831, 3300, 815, 11015, 6831, 3300, 266, 272, 1477, 20930, 453, 2431, 7272, 340, 14794, 314, 276, 6012, 271, 316, 815, 11015, 6831, 3300, 1477, 20930, 453, 2431, 7272, 340, 14794, 314, 276, 6012, 272, 316, 815, 1318, 7272, 340, 14794, 314, 276, 6012, 272, 27994, 272, 1477, 20930, 453, 2431, 7272, 340, 14794, 314, 276, 6012, 273, 316, 815, 1412, 2431, 262, 5897, 20930, 453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14783, 1535, 14990, 2431, 9385, 10400, 2715, 324, 348, 23214, 273, 23180, 3847, 263, 3189, 2765, 11513, 14783, 513, 3867, 273, 24828, 14783, 1535, 3686, 268, 3189, 2765, 11513, 14783, 513, 3867, 272, 24828, 14783, 586, 3686, 10559, 7562, 7268, 12978, 3738, 3189, 2765, 11513, 14783, 513, 3867, 274, 24828, 14783, 586, 14990, 2431, 9385, 10400, 2715, 324, 348, 23214, 274, 4153, 2431, 1040, 10592, 1012, 22108, 692, 272, 269, 9745, 454, 273, 269, 9745, 513, 536, 2274, 5523, 5271, 267, 15182, 573, 623, 269, 630, 1220, 274, 1040, 32150, 5811, 269, 2622, 11660, 269, 533, 269, 1109, 1724, 269, 9768, 1109, 7176, 272, 268, 24487, 268, 11740, 268, 274, 269, 25737, 814, 8900, 7164, 9936, 281, 1923, 1723, 2246, 4243, 284, 630, 15276, 994, 274, 269, 9745, 2274, 5523, 5271, 267, 15182, 573, 623, 269, 630, 1220, 274, 1040, 32150, 5811, 269, 2622, 11660, 269, 533, 269, 1109, 8287, 269, 9768, 1109, 7176, 272, 268, 24487, 268, 11740, 268, 274, 269, 25737, 814, 8900, 7164, 9936, 281, 1923, 1723, 2246, 4243, 284, 630, 15276, 264, 0, 29479, 7726, 540, 519, 4303, 281, 11545, 3842, 4757, 1923, 11545, 3842, 17749, 1715, 547, 17918, 11833, 286, 13772, 713, 11473, 692, 898, 568, 4867, 476, 2537, 4924, 476, 1708, 271, 267, 476, 1691, 281, 5325, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 692, 12041, 24606, 454, 307, 8980, 306, 1384, 2162, 31674, 16193, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 277, 1691, 6734, 692, 2162, 8058, 16193, 692, 2641, 9947, 476, 1001, 279, 267, 476, 5400, 281, 1626, 454, 272, 454, 12749, 19928, 12460, 454, 277, 454, 876, 281, 876, 692, 11795, 22187, 1384, 276, 260, 630, 869, 2020, 9223, 853, 1846, 1384, 4817, 260, 630, 4905, 281, 6860, 264, 2953, 476, 276, 260, 630, 4905, 281, 3066, 264, 4636, 1759, 593, 476, 12893, 273, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 10376, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 547, 476, 1428, 2600, 540, 519, 1101, 1269, 4335, 538, 6455, 543, 476, 736, 2600, 540, 782, 3606, 6455, 602, 3018, 269, 1548, 10243, 1131, 519, 6455, 17367, 4309, 593, 2698, 6455, 585, 519, 3018, 540, 259, 272, 267, 4968, 26042, 288, 269, 1269, 4198, 645, 269, 259, 25375, 692, 290, 269, 1269, 20720, 667, 269, 259, 18605, 692, 292, 269, 1269, 28178, 21832, 2243, 689, 17918, 10378, 24722, 6651, 476, 1001, 280, 630, 4916, 5881, 274, 5400, 264, 12843, 318, 552, 8566, 21316, 11724, 894, 11835, 1441, 281, 476, 6860, 3967, 476, 1001, 276, 24762, 281, 476, 23283, 277, 1234, 281, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 1496, 258, 21529, 316, 12693, 8058, 16193, 476, 2420, 9947, 476, 1001, 279, 267, 476, 4962, 281, 7906, 476, 272, 8827, 9717, 281, 3040, 589, 6455, 17367, 11392, 513, 10243, 3160, 547, 476, 1428, 2600, 540, 519, 1101, 259, 4335, 538, 6455, 543, 476, 736, 2600, 540, 782, 3606, 6455, 602, 3018, 692, 2414, 1265, 912, 1892, 634, 10243, 519, 6455, 17367, 4607, 593, 513, 9042, 540, 1269, 9873, 271, 538, 513, 3018, 13979, 543, 11554, 281, 3040, 8189, 585, 1101, 259, 4335, 9042, 815, 476, 1428, 260, 540, 1269, 4335, 815, 259, 4037, 454, 1892, 8189, 585, 519, 6967, 9042, 815, 476, 736, 260, 540, 18121, 9873, 271, 910, 259, 4335, 264, 815, 476, 736, 260, 540, 1269, 8517, 815, 259, 8182, 454, 1892, 4475, 267, 2698, 10243, 815, 1269, 4037, 1341, 259, 8182, 815, 1269, 20720, 9747, 267, 519, 2953, 2626, 568, 4781, 595, 269, 8382, 281, 595, 12843, 318, 18947, 14662, 3525, 518, 1807, 11835, 1441, 281, 476, 2420, 2904, 476, 1001, 277, 24762, 281, 476, 24907, 277, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 1496, 258, 21529, 316, 12693, 8058, 16193, 476, 2420, 9947, 476, 1001, 279, 267, 476, 5400, 281, 6860, 476, 272, 645, 684, 3241, 5206, 281, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 547, 476, 1428, 2600, 540, 519, 1101, 259, 4335, 538, 6455, 543, 476, 736, 2600, 540, 782, 3606, 6455, 602, 3018, 269, 1548, 10243, 1131, 519, 6455, 17367, 4309, 593, 2698, 6455, 585, 519, 3018, 540, 1269, 272, 267, 4968, 7790, 589, 269, 259, 4198, 692, 289, 269, 1269, 25375, 595, 269, 259, 20720, 692, 291, 269, 1269, 18605, 661, 269, 259, 28178, 692, 301, 11246, 2243, 689, 17918, 10378, 24722, 6651, 476, 1001, 280, 692, 263, 4916, 5881, 274, 5400, 2020, 272, 264, 2549, 870, 12236, 593, 6455, 815, 1269, 4335, 1280, 519, 1101, 259, 4335, 538, 6455, 630, 1993, 519, 2698, 1269, 272, 267, 4968, 538, 6455, 1070, 519, 6455, 17367, 1274, 985, 476, 1428, 260, 30967, 269, 1428, 265, 4335, 6661, 4037, 2330, 2423, 2740, 865, 2484, 281, 259, 4037, 692, 273, 264, 2549, 870, 12236, 593, 1964, 540, 6455, 815, 1269, 8517, 3816, 8724, 6455, 593, 799, 1352, 1274, 985, 476, 736, 260, 10243, 286, 18121, 272, 267, 4968, 910, 1269, 4335, 264, 815, 259, 8517, 692, 9515, 1274, 985, 476, 736, 260, 593, 602, 2179, 912, 2330, 263, 269, 736, 265, 8517, 6661, 8182, 16465, 13553, 2179, 12236, 281, 1269, 8182, 11192, 2179, 12236, 281, 18121, 4037, 1341, 476, 8182, 264, 815, 1269, 20720, 8382, 595, 12843, 318, 16731, 14662, 30215, 267, 1934, 256, 5192, 1079, 14662, 2055, 547, 2259, 267, 4171, 6402, 596, 666, 1265, 676, 4266, 269, 8550, 8969, 602, 513, 1507, 1895, 540, 15826, 267, 8149, 4961, 666, 1689, 519, 1158, 282, 8197, 267, 621, 781, 519, 1152, 3364, 602, 2479, 814, 269, 4534, 20152, 28927, 2902, 11835, 1441, 281, 476, 5400, 7325, 476, 1001, 278, 24762, 281, 476, 1428, 19715, 281, 10255, 717, 5183, 281, 476, 274, 269, 4029, 1234, 281, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 1496, 258, 21529, 316, 12693, 8058, 16193, 476, 2641, 9947, 476, 1001, 279, 267, 476, 5400, 281, 1839, 634, 862, 1707, 602, 519, 6455, 17367, 786, 4309, 585, 602, 3018, 568, 476, 4335, 265, 271, 269, 1428, 23444, 343, 268, 4335, 12684, 271, 269, 273, 267, 1141, 1535, 568, 519, 6455, 17367, 781, 6455, 1657, 259, 4335, 269, 1924, 267, 476, 4335, 265, 271, 269, 1428, 23444, 9873, 271, 268, 4335, 12684, 271, 269, 273, 284, 4037, 266, 8182, 284, 259, 20720, 634, 2953, 2626, 568, 595, 269, 18947, 13662, 3525, 518, 1807, 11835, 1441, 281, 476, 2918, 4924, 476, 1001, 277, 24762, 281, 476, 30444, 276, 19715, 281, 3127, 717, 5183, 281, 476, 274, 269, 1321, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 1496, 258, 21529, 316, 12693, 8058, 16193, 476, 2641, 9947, 476, 1001, 279, 267, 476, 1556, 281, 1240, 645, 684, 3241, 5206, 281, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 547, 476, 1428, 2600, 540, 519, 1101, 259, 4335, 538, 6455, 543, 476, 736, 2600, 540, 782, 3606, 6455, 602, 3018, 269, 1548, 10243, 1131, 519, 6455, 17367, 4309, 593, 2698, 6455, 585, 519, 3018, 540, 1269, 272, 267, 4968, 7790, 589, 269, 259, 4198, 692, 289, 269, 1269, 25375, 595, 269, 259, 20720, 692, 291, 269, 1269, 18605, 661, 269, 259, 28178, 692, 301, 11246, 2243, 689, 17918, 10378, 24722, 6651, 476, 1001, 280, 692, 263, 4916, 5881, 274, 5400, 2020, 763, 1793, 11274, 585, 7384, 519, 862, 1707, 593, 519, 6455, 540, 1535, 616, 607, 5205, 912, 272, 269, 476, 1428, 260, 593, 519, 1101, 1269, 4335, 538, 6455, 269, 3230, 271, 269, 1428, 265, 4335, 815, 476, 4037, 2330, 950, 1535, 3436, 259, 4335, 454, 273, 269, 476, 736, 259, 517, 519, 6967, 2179, 630, 343, 910, 259, 4335, 264, 1141, 1535, 568, 519, 2698, 6455, 2179, 780, 763, 2698, 862, 1707, 568, 3230, 4037, 1341, 476, 271, 269, 736, 269, 273, 3287, 910, 476, 4335, 264, 815, 476, 4037, 1341, 476, 271, 269, 273, 343, 910, 476, 1911, 815, 476, 271, 269, 273, 343, 910, 476, 1839, 9681, 11693, 281, 28315, 6455, 540, 519, 7802, 6455, 17367, 568, 1269, 9873, 271, 263, 2080, 267, 1535, 815, 259, 9873, 271, 2020, 11997, 267, 519, 2698, 10243, 4607, 676, 519, 7802, 6455, 17367, 568, 3230, 271, 269, 273, 343, 910, 476, 1839, 815, 476, 18605, 910, 476, 1839, 815, 2330, 1269, 20720, 263, 29682, 595, 264, 12843, 318, 1411, 4312, 3893, 1018, 621, 3217, 267, 855, 621, 786, 1491, 3388, 596, 4312, 3893, 27010, 4530, 16721, 11724, 894, 21073, 281, 674, 10133, 1299, 16628, 10500, 8270, 725, 281, 27010, 4530, 16721, 11835, 1441, 281, 476, 1691, 4239, 476, 1001, 276, 24762, 281, 476, 280, 3393, 271, 19715, 281, 2136, 2276, 630, 7563, 264, 1234, 281, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 1496, 258, 21529, 316, 12693, 8058, 16193, 476, 1839, 9947, 476, 1001, 279, 267, 476, 1015, 281, 7918, 645, 684, 3241, 5206, 281, 3962, 3018, 267, 513, 7802, 6455, 17367, 11392, 513, 10243, 3160, 547, 476, 1428, 2600, 540, 519, 1101, 259, 4335, 538, 6455, 543, 476, 736, 2600, 540, 782, 3606, 6455, 602, 3018, 269, 1548, 10243, 1131, 519, 6455, 17367, 4309, 593, 2698, 6455, 585, 519, 3018, 540, 1269, 272, 267, 4968, 7790, 589, 269, 259, 4198, 692, 289, 269, 1269, 25375, 595, 269, 259, 20720, 692, 291, 269, 1269, 18605, 661, 269, 259, 28178, 692, 2171, 666, 2769, 519, 3070, 607, 1384, 271, 269, 1428, 1535, 476, 4335, 1341, 476, 271, 269, 273, 263, 9873, 271, 910, 476, 4335, 264, 815, 476, 4037, 1341, 476, 8182, 815, 476, 20720, 692, 6303, 318, 692, 258, 8845, 8381, 12064, 4149, 974, 23702, 692, 293, 10133, 543, 16628, 692, 9928, 2714, 287, 307, 13759, 14818, 7093, 335, 2593, 454, 8687, 17352, 692, 276, 3613, 541, 15951, 2228, 17918, 3067, 454, 1345, 1353, 1576, 692, 8450, 1946, 27010, 4530, 16721, 568, 519, 1283, 15951, 17918, 3067, 1576, 593, 17918, 11833, 269, 3367, 3776, 17352, 692, 2252, 596, 1265, 835, 540, 1250, 9708, 5363, 267, 5225, 1491, 513, 4090, 547, 4945, 593, 519, 834, 20132, 257, 7735, 780, 12421, 454, 16274, 281, 476, 4905, 3057, 476, 1001, 280, 454, 15803, 281, 476, 2537, 454, 19613, 281, 2136, 2276, 454, 29479, 476, 272, 281, 476, 278, 2412, 1627, 5392, 966, 5655, 692, 2162, 8058, 16193, 692, 6734, 3057, 476, 1001, 280, 267, 476, 1428, 281, 1240, 454, 314, 272, 316, 17817, 692, 8489, 1535, 13843, 476, 4335, 692, 4335, 2608, 476, 1428, 260, 1341, 630, 343, 910, 476, 4335, 264, 2608, 476, 736, 30515, 284, 476, 4037, 1341, 630, 343, 910, 476, 4335, 264, 2608, 476, 736, 30515, 314, 273, 316, 16534, 692, 343, 815, 476, 9873, 271, 692, 4037, 1341, 630, 9873, 271, 910, 476, 4335, 264, 2608, 476, 736, 30515, 284, 476, 4037, 1341, 476, 8517, 2608, 476, 736, 30515, 284, 476, 4037, 1341, 476, 8182, 692, 284, 476, 20720, 454, 10048, 4526, 454, 16274, 281, 476, 2190, 9484, 476, 1001, 279, 454, 15803, 281, 476, 14138, 454, 19613, 281, 3127, 692, 2162, 8058, 16193, 692, 1428, 7325, 476, 1001, 280, 267, 476, 1428, 281, 3066, 454, 1428, 260, 540, 476, 272, 560, 476, 4335, 9042, 815, 476, 4037, 259, 8145, 8724, 630, 476, 9873, 271, 268, 4335, 7751, 815, 476, 8517, 259, 3086, 646, 568, 3478, 476, 736, 260, 540, 476, 8517, 259, 815, 476, 8182, 259, 3383, 538, 2698, 10243, 815, 476, 8182, 266, 4037, 284, 476, 20720, 14204, 306, 29262, 454, 16274, 281, 476, 6734, 9947, 476, 1001, 280, 454, 15803, 281, 476, 1001, 279, 454, 19613, 281, 3127, 454, 29479, 476, 272, 281, 476, 277, 3445, 1627, 2004, 966, 4097, 454, 25446, 281, 7177, 630, 9558, 1636, 566, 2020, 2162, 8058, 16193, 692, 1626, 9484, 476, 1001, 280, 267, 476, 5400, 281, 2764, 454, 289 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6422, 2511, 540, 8265, 7544, 6353, 676, 1035, 13681, 1738, 5322, 267, 30809, 267, 543, 20291, 13467, 269, 17451, 2938, 2576, 3257, 2212, 4944, 1231, 610, 1863, 8240, 286, 8409, 616, 1175, 513, 1906, 2736, 323, 766, 7575, 256, 20330, 275, 269, 2608, 24836, 29201, 3203, 281, 10439, 7215, 13556, 610, 6537, 593, 6821, 267, 14884, 267, 543, 824, 1857, 7252, 269, 1452, 10875, 4773, 540, 11247, 2995, 2984, 267, 13686, 13007, 267, 543, 6505, 523, 909, 4683, 8916, 269, 22177, 1262, 25603, 2368, 31177, 6953, 641, 594, 4621, 16001, 265, 9961, 12048, 31022, 1686, 267, 972, 723, 1044, 9118, 16805, 5159, 945, 723, 1500, 1713, 7418, 547, 519, 2528, 269, 2913, 781, 1205, 547, 917, 513, 1906, 540, 873, 17041, 692, 268, 2608, 307, 1575, 659, 1744, 752, 584, 281, 1323, 9565, 986, 3899, 267, 17076, 267, 543, 19191, 1634, 585, 1010, 3532, 18405, 543, 13998, 6857, 6835, 269, 20330, 268, 2608, 8253, 16124, 645, 15660, 14371, 12727, 4746, 1634, 607, 8262, 27932, 3911, 8712, 267, 646, 729, 513, 19416, 986, 3899, 6444, 585, 1010, 9423, 5759, 543, 10058, 5639, 269, 20330, 268, 2608, 292, 2381, 655, 281, 10705, 1572, 590, 3916, 1744, 8014, 267, 661, 2381, 655, 13264, 7496, 607, 513, 3043, 986, 3899, 1247, 9159, 9458, 609, 1010, 4028, 1922, 790, 6765, 543, 6151, 7553, 269, 20330, 268, 2608, 294, 8681, 24490, 18044, 281, 589, 21722, 29382, 945, 5280, 6427, 2553, 899, 31153, 543, 19758, 11017, 940, 267, 5935, 519, 3280, 540, 2413, 12048, 31022, 2575, 269, 20330, 268, 2608, 17682, 27996, 645, 31243, 1092, 320, 281, 589, 15713, 4651, 540, 12048, 31022, 945, 4547, 1585, 2609, 540, 519, 2528, 1927, 267, 5009, 4708, 267, 9322, 267, 2648, 267, 543, 2348, 1187, 269, 22177, 1262, 17730, 2659, 13574, 3400, 29201, 3203, 16001, 265, 3086, 602, 596, 4312, 4121, 827, 12048, 31022, 2528, 543, 1558, 930, 540, 922, 1034, 11599, 5515, 267, 1946, 711, 2119, 1818, 707, 1378, 4062, 540, 1178, 29201, 1148, 286, 1411, 1810, 1405, 991, 547, 5862, 593, 513, 3774, 610, 5721, 1107, 3274, 10544, 930, 1957, 267, 12508, 267, 610, 19267, 267, 543, 1577, 707, 5876, 19542, 256, 22177, 265, 2080, 616, 930, 3268, 547, 948, 596, 1205, 3323, 17041, 692, 272, 269, 2608, 16521, 513, 6249, 281, 1548, 1131, 596, 899, 547, 2769, 998, 707, 11247, 286, 898, 1223, 581, 4376, 689, 707, 2012, 267, 513, 2318, 5048, 267, 610, 1256, 513, 6041, 540, 707, 4606, 269, 20330, 273, 269, 2608, 23945, 707, 1374, 281, 28220, 856, 707, 2856, 593, 1957, 1101, 269, 901, 786, 1450, 596, 547, 1294, 952, 3388, 13352, 1927, 23182, 1354, 22867, 621, 547, 17198, 610, 1776, 2627, 269, 20330, 274, 269, 2608, 16987, 2939, 609, 4778, 281, 5213, 1405, 581, 12922, 547, 946, 12050, 543, 6505, 24698, 256, 1358, 666, 2731, 3142, 707, 11247, 547, 1272, 543, 6952, 1004, 781, 3007, 269, 20330, 275, 269, 2608, 11754, 10155, 281, 2422, 20224, 267, 8711, 267, 543, 27080, 547, 2285, 707, 4062, 3178, 543, 1719, 269, 20330, 276, 269, 2608, 20797, 2306, 3501, 281, 5901, 3843, 1007, 1919, 543, 1565, 689, 1866, 269, 634, 811, 596, 2259, 267, 519, 1732, 596, 3513, 1831, 693, 2870, 5863, 1178, 29201, 1148, 256, 22177, 265, 2171, 4126, 596, 10150, 3695, 519, 3638, 1158, 540, 12048, 31022, 2528, 256, 5457, 267, 1169, 1390, 7376, 6238, 12341, 267, 865, 1832, 8026, 543, 2760, 3247, 1565, 30818, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 630, 1708, 274, 264, 634, 5440, 26548, 4554, 7327, 619, 538, 519, 2622, 27210, 2026, 519, 1158, 5170, 547, 1332, 5763, 1512, 267, 621, 779, 1100, 9983, 602, 28245, 616, 519, 1283, 1274, 2996, 538, 519, 1158, 267, 11543, 513, 521, 14184, 32004, 540, 519, 2650, 269, 1717, 267, 945, 616, 519, 1283, 1274, 2996, 538, 519, 1158, 2221, 286, 4855, 856, 811, 7498, 763, 1283, 476, 1015, 29659, 2206, 619, 538, 519, 1158, 607, 19486, 676, 1280, 15816, 12139, 538, 4989, 476, 1001, 278, 616, 607, 5205, 281, 9625, 9625, 349, 7490, 4063, 602, 2296, 568, 711, 1250, 5065, 1893, 269, 1403, 596, 5544, 1022, 12161, 267, 5225, 1577, 803, 917, 563, 24523, 568, 1945, 602, 3025, 21593, 269, 4658, 6432, 547, 2575, 6140, 538, 741, 22302, 942, 610, 547, 9350, 519, 328, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 8535, 1315, 14943, 1299, 31177, 14929, 1315, 3400, 29201, 3203, 543, 31177, 6953, 641, 9177, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 769, 2221, 781, 1239, 12454, 1158, 267, 621, 814, 1831, 5051, 1271, 585, 6128, 2069, 547, 1445, 593, 3450, 1053, 875, 547, 5659, 543, 4612, 1950, 14449, 269, 2290, 1898, 1907, 585, 713, 4305, 568, 10855, 7194, 267, 799, 3322, 12180, 267, 28388, 267, 543, 9306, 1239, 538, 606, 13181, 1259, 269, 2913, 721, 5490, 4514, 883, 930, 1883, 2035, 538, 1239, 2079, 543, 7664, 1210, 10855, 7194, 780, 20058, 267, 1577, 721, 1174, 1018, 13054, 1239, 269, 4578, 4016, 547, 1367, 4773, 540, 1344, 6394, 585, 513, 1808, 3483, 269, 1452, 4773, 540, 1344, 666, 1287, 581, 6896, 543, 9916, 547, 2721, 8753, 827, 3677, 2516, 610, 9259, 269, 589, 4909, 2460, 540, 7421, 1239, 568, 8159, 922, 1377, 540, 6482, 269, 1703, 616, 2185, 2157, 540, 6482, 1107, 22194, 267, 3921, 1400, 267, 8884, 267, 543, 5223, 1107, 1142, 8506, 1114, 8579, 2553, 585, 3617, 2079, 269, 1280, 3236, 267, 28547, 4632, 899, 4008, 610, 3750, 2681, 616, 6027, 693, 519, 22194, 1377, 267, 6466, 6024, 4632, 971, 607, 2837, 610, 4463, 616, 6027, 693, 519, 8884, 1377, 269, 4197, 891, 3604, 2636, 3173, 547, 3442, 3617, 2409, 585, 10503, 741, 1239, 780, 9202, 267, 649, 786, 1413, 693, 3800, 540, 3844, 12402, 267, 799, 1683, 5813, 883, 6093, 2418, 1369, 513, 10471, 269, 6399, 267, 11667, 267, 543, 7154, 616, 4122, 1031, 3800, 540, 3844, 12402, 269, 634, 1611, 568, 7229, 676, 2040, 2719, 782, 7422, 543, 12270, 676, 519, 1297, 540, 7422, 269, 1717, 267, 3665, 2418, 630, 719, 11502, 264, 666, 3648, 3310, 1797, 267, 1818, 873, 1447, 11347, 269, 2405, 2103, 267, 1373, 11259, 547, 856, 11502, 267, 1459, 513, 1732, 4244, 585, 7729, 14954, 14778, 269, 2201, 519, 824, 1688, 267, 519, 7154, 4564, 519, 1034, 4749, 9648, 1871, 4433, 264, 538, 513, 10471, 269, 3962, 2268, 5713, 2189, 5301, 4470, 2390, 519, 1826, 543, 3892, 540, 1239, 780, 9288, 9778, 540, 24980, 7866, 8390, 1851, 7422, 538, 513, 10471, 269, 7352, 766, 543, 3044, 11539, 616, 4922, 6964, 14573, 23954, 269, 5637, 22945, 3262, 1472, 519, 1611, 267, 23344, 8335, 269, 2755, 13065, 3096, 16302, 4559, 267, 17021, 1463, 6476, 7543, 2066, 10253, 267, 3044, 11539, 18271, 3312, 4559, 14123, 3444, 8397, 16198, 269, 25506, 602, 1164, 13260, 10522, 3152, 14649, 1247, 1970, 13260, 6920, 24159, 1472, 519, 1611, 269, 9747, 267, 16208, 13260, 2488, 4030, 883, 519, 4630, 23189, 610, 30846, 540, 1239, 780, 24058, 11269, 1404, 513, 2629, 1909, 538, 23187, 3270, 11251, 538, 1804, 14449, 3927, 269, 2876, 9999, 267, 4216, 13602, 267, 3046, 12125, 267, 1899, 11708, 267, 3092, 1421, 5351, 8223, 998, 3308, 9423, 269, 25800, 3054, 609, 1585, 3113, 2010, 543, 917, 950, 547, 946, 799, 269, 5457, 267, 8939, 16789, 14839, 2645, 1522, 1253, 677, 4641, 3056, 547, 31495, 13133, 725, 780, 15563, 267, 2565, 3206, 3788, 14063, 1282, 1239, 7664, 269, 11408, 4983, 5817, 10054, 267, 1761, 12886, 267, 6959, 267, 610, 7508, 2418, 1354, 5373, 17046, 8753, 269, 5047, 267, 2015, 13865, 2188, 18363, 2164, 269, 1280, 1383, 267, 9756, 1281, 711, 17538, 1757, 1275, 282, 3976, 267, 18505, 2590, 2014, 13716, 3347, 1759, 9003, 593, 12633, 1049, 2963, 1131, 1291, 547, 20093, 821, 748, 8753, 780, 1103, 3932, 267, 13215, 1239, 2079, 543, 7664, 3340, 811, 982, 6071, 19106, 1983, 269, 5548, 1324, 2620, 883, 12497, 13210, 10597, 938, 2702, 547, 21264, 6946, 2984, 6456, 3297, 2338, 8308, 269, 2060, 2029, 14027, 6385, 543, 2462, 1239, 5935, 3664, 2066, 6080, 267, 30015, 6267, 609, 7347, 10763, 5759, 3587, 4105, 585, 10188, 938, 1950, 2486, 6707, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 303, 4206, 2843, 511, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 2843, 498, 25986, 4709, 3264, 13953, 269, 2843, 508, 4344, 7549, 4814, 26281, 2843, 506, 4138, 4814, 31560, 30718, 31589, 15671, 29112, 3264, 16648, 9326, 269, 2843, 351, 21134, 476, 276, 269, 2843, 351, 3264, 6459, 3378, 2843, 356, 3264, 6459, 13833, 3264, 18547, 454, 303, 4206, 2843, 511, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 2843, 498, 25986, 4709, 3264, 13953, 269, 2843, 508, 4344, 7549, 4814, 26281, 2843, 506, 4138, 4814, 31560, 30718, 31589, 15671, 29112, 3264, 16648, 9326, 269, 2843, 351, 21134, 476, 276, 269, 2843, 351, 3264, 6459, 3378, 2843, 356, 3264, 6459, 13833, 3264, 18547, 454, 2690, 1655, 7824, 2843, 511, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 2843, 498, 25986, 4709, 3264, 13953, 269, 7520, 31249, 344, 593, 1570, 543, 1020, 513, 2352, 3350, 256, 1411, 616, 3257, 513, 5188, 602, 11828, 1256, 3476, 10057, 676, 9786, 269, 7490, 2263, 707, 3060, 269, 634, 4759, 949, 1055, 4283, 3294, 562, 1405, 952, 596, 723, 2709, 269, 901, 568, 513, 7824, 2843, 511, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 2843, 498, 25986, 4709, 3264, 13953, 269, 2843, 508, 4344, 7549, 4814, 26281, 20413, 4138, 4814, 2094, 18453, 883, 519, 1699, 26126, 6818, 3769, 676, 519, 2243, 282, 4061, 267, 1100, 2797, 3069, 1223, 1927, 581, 538, 513, 3811, 2221, 269, 3376, 282, 689, 513, 19888, 11220, 6639, 10626, 269, 6209, 282, 610, 540, 1603, 1022, 8874, 607, 4205, 689, 835, 547, 519, 4502, 269, 3143, 31213, 666, 581, 1831, 585, 7744, 683, 16438, 817, 673, 5491, 832, 269, 634, 7824, 2843, 511, 4709, 30530, 7549, 6459, 5284, 379, 29391, 4138, 9326, 2843, 498, 25986, 4709, 3264, 13953, 269, 540, 5619, 2070, 607, 4847, 689, 2804, 942, 568, 5693, 24526, 269, 898, 568, 11295, 1641, 267, 540, 3854, 267, 547, 5659, 540, 1062, 2112, 607, 602, 960, 2016, 950, 4901, 568, 890, 641, 1194, 896, 2798, 18222, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11581, 24102, 1315, 9752, 1315, 23527, 1315, 9119, 1315, 4578, 5811, 543, 28604, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 20154, 2372, 652, 15881, 2510, 692, 8702, 267, 1762, 3988, 256, 4653, 267, 649, 2811, 2469, 547, 7832, 593, 513, 4241, 3460, 998, 513, 9135, 1572, 834, 306, 2869, 3770, 2372, 652 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4831, 693, 519, 2199, 7944, 3075, 560, 2803, 563, 12988, 1287, 519, 14278, 626, 1767, 267, 834, 295, 3266, 514, 1579, 1513, 519, 1950, 542, 267, 3947, 26255, 3599, 547, 519, 2247, 267, 21560, 519, 7181, 543, 6367, 1564, 267, 543, 568, 267, 538, 1249, 267, 513, 3501, 27369, 540, 1072, 1701, 630, 4537, 12177, 26695, 292, 697, 8696, 2600, 540, 10820, 538, 519, 772, 2529, 269, 1185, 693, 2547, 835, 2407, 6066, 22700, 610, 6469, 948, 563, 2467, 941, 827, 476, 15996, 4080, 15294, 619, 538, 519, 3003, 772, 2529, 563, 4517, 594, 4464, 539, 713, 689, 2576, 3116, 1510, 17511, 621, 8885, 267, 543, 2366, 621, 547, 596, 538, 513, 2339, 540, 7643, 2336, 2521, 547, 4952, 1018, 621, 949, 581, 899, 538, 1776, 476, 1911, 1296, 269, 0, 303, 27600, 781, 8376, 540, 24942, 630, 4186, 8094, 2562, 24199, 8121, 12087, 4041, 454, 297, 2002, 5372, 906, 616, 519, 1034, 1455, 23361, 7189, 946, 547, 1521, 4745, 8374, 689, 623, 27600, 781, 2068, 971, 607, 30169, 540, 519, 12048, 610, 12597, 10549, 269, 1403, 513, 4745, 814, 1044, 8697, 676, 713, 2068, 543, 568, 4929, 1928, 267, 707, 4387, 949, 4363, 513, 4745, 10682, 630, 24119, 2056, 593, 519, 4299, 4745, 1916, 302, 4614, 30315, 18788, 513, 530, 8354, 540, 5642, 547, 948, 18534, 1901, 519, 6967, 5642, 269, 1323, 11560, 30315, 585, 519, 12048, 610, 12597, 568, 1776, 5642, 6391, 602, 949, 948, 8488, 513, 4745, 10682, 269, 1809, 621, 568, 2356, 1152, 513, 1434, 3903, 585, 513, 7820, 1268, 563, 2690, 811, 1344, 593, 4745, 10682, 6391, 267, 1294, 912, 2252, 596, 723, 623, 27600, 781, 2068, 543, 616, 2469, 547, 723, 5642, 610, 4745, 6391, 267, 596, 949, 991, 4915, 585, 513, 1974, 540, 942, 1354, 6391, 547, 3500, 519, 15059, 540, 5642, 5160, 543, 6175, 519, 1981, 540, 11702, 1282, 6391, 563, 8448, 2126, 585, 623, 27600, 781, 2068, 2882, 912, 324, 8469, 21778, 10890, 6481, 13129, 689, 2657, 3772, 454, 2414, 1451, 811, 3643, 2657, 3772, 3820, 454, 15100, 476, 1960, 276, 268, 1001, 273, 2657, 3772, 267, 14119, 730, 269, 2657, 3772, 267, 2657, 3772, 585, 1169, 1072, 3375, 267, 543, 519, 2657, 3772, 20446, 616, 30931, 540, 2657, 3772, 267, 14119, 730, 563, 8340, 856, 1018, 2021, 2731, 991, 563, 303, 650, 5772, 8595, 593, 681, 343, 8266, 454, 268, 2656, 267, 2653, 2676, 8340, 513, 10871, 14997, 2329, 454, 268, 1519, 476, 2190, 5662, 267, 7966, 9313, 0, 19559, 316, 910, 513, 4524, 540, 519, 3339, 4189, 6296, 454, 28062, 1566, 5291, 2517, 4178, 269, 19986, 323, 5315, 16691, 16896, 270, 3698, 6873, 21703, 286, 638, 2044, 284, 324, 908, 260, 736, 4134, 4650, 454, 29825, 513, 4524, 540, 519, 3339, 4189, 6296, 454, 28062, 1566, 5291, 2517, 5320, 6339, 19986, 269, 1440, 4532, 17662, 12975, 270, 704, 331, 270, 19986, 1233, 286, 338, 284, 324, 908, 260, 736, 4134, 4650, 454, 1415, 538, 513, 1895, 540, 4713, 538, 799, 9402, 8023, 6208, 616, 2404, 609, 5626, 2188, 269, 18567, 949, 1331, 513, 25302, 10182, 4724, 4189, 267, 7829, 543, 11876, 8973, 1426, 538, 8966, 2081, 267, 2530, 540, 1560, 2597, 267, 9422, 19518, 267, 5959, 11761, 267, 23386, 20817, 267, 513, 2483, 28062, 1566, 5291, 2517, 4178, 269, 1890, 743, 334, 16691, 16896, 15828, 5914, 270, 13975, 4905, 454, 263, 5228, 519, 2376, 2387, 11365, 4524, 319, 264, 5565, 540, 519, 811, 1455, 4189, 4713, 4125, 711, 1152, 17244, 540, 4189, 7180, 855, 849, 1253, 25344, 538, 1560, 8226, 269, 1323, 24803, 6179, 6242, 3267, 1323, 24803, 6179, 6242, 2356, 6238, 538, 3735, 18273, 543, 568, 827, 476, 736, 2053, 811, 1455, 538, 6690, 982, 538, 8695, 269, 570, 2483, 28062, 1566, 5291, 2517, 4178, 12500, 761, 24628, 2593, 270, 20623, 21669, 22271, 27160, 270, 277, 454, 28848, 4713, 3277, 547, 513, 1895, 540, 2175, 3989, 676, 9402, 4189, 6208, 602, 949, 4125, 2901, 13385, 610, 7050, 1426, 6981, 547, 519, 1033, 337, 2939, 540, 606, 1367, 26141, 2168, 543, 2790, 1072, 269, 10089, 574, 807, 6179, 6242, 267, 30604, 6179, 6242, 267, 543, 28675, 4189, 4524, 616, 519, 1034, 1455, 1808, 535, 2483, 28062, 1566, 5291, 2517, 523, 25769, 3820, 28293, 27582, 908, 318, 4134, 4650, 454, 2304, 3665, 267, 5739, 4189, 2623, 602, 666, 2014, 3978, 4576, 610, 1256, 2669, 269, 1323, 1367, 3587, 22350, 14126, 827, 2597, 2744, 543, 4422, 547, 3665, 3800, 547, 1852, 741, 3232, 1608, 7595, 6981, 269, 661, 10620, 836, 4713, 666, 723, 2942, 2360, 538, 513, 4807, 602, 568, 3843, 547, 32230, 267, 9176, 610, 4429, 28062, 1566, 5291, 2517, 4178, 269, 2181, 3913, 1108, 2593, 12458, 313, 27582, 270, 272, 454, 12179, 30442, 543, 9402, 4189, 4806, 602, 814, 1044, 7550, 547, 11883, 609, 6418, 5626, 610, 3929, 2566, 269, 14856, 4713, 1331, 30604, 630, 320, 771, 514, 743, 1588, 547, 3548, 1070, 4439, 574, 807, 630, 319, 6883, 324, 319, 4189, 1070, 543, 31017, 2732, 532, 269, 10613, 1031, 547, 1852, 1426, 6981, 949, 1331, 17509, 267, 1625, 3101, 267, 610, 555, 2483, 28062, 1566, 5291, 2517, 4178, 6745, 1779, 339, 1779, 16691, 16896, 270, 10915, 2397, 270, 1890, 743, 30249, 4215, 10774, 8553, 8657, 8276, 18089, 22903, 274, 11258, 454, 31738, 281, 5595, 4945, 593, 513, 2262, 547, 1397, 922, 2495, 563, 5591, 3169, 13292, 1336, 563, 23777, 513, 2262, 543, 5734, 2387, 15507, 319, 563, 763, 1034, 2487, 19707, 593, 2037, 7094, 334, 269, 9737, 23049, 596, 786, 1265, 519, 1297, 540, 2164, 543, 1297, 540, 1644, 2164, 563, 1892, 5565, 5384, 630, 276, 994, 1892, 4406, 29800, 717, 668, 990, 630, 272, 994, 1892, 7638, 4777, 1941, 26141, 4521, 630, 272, 994, 1892, 12779, 14663, 630, 278, 994, 1892, 796, 331, 3089, 1465, 630, 273, 994, 1892, 5131, 14964, 630, 278, 994, 1892, 744, 5866, 14670, 641, 1817, 639, 5641, 528, 630, 272, 994, 1892, 3397, 1872, 21343, 630, 272, 994, 1892, 744, 344, 752, 11412, 5435, 630, 274, 994, 1892, 32762, 667, 674, 17344, 630, 272, 994, 1892, 623, 27494, 630, 279, 994, 1892, 524, 29403, 15727, 630, 273, 994, 1892, 13957, 3781, 630, 280, 994, 1892, 20534, 5692, 324, 630, 273, 994, 1892, 16092, 21025, 601, 341, 773, 630, 272, 994, 1892, 512, 13116, 630, 1691, 994, 1892, 18039, 27055, 553, 523, 630, 272, 994, 1892, 31996, 29246, 534, 534, 630, 272, 994, 1892, 590, 7709, 4596, 307, 630, 272, 994, 1892, 5917, 7159, 320, 630, 275, 994, 1892, 7638, 1372, 2280, 630, 273, 994, 1892, 28524, 2023, 5398, 5576, 334, 630, 272, 994, 1892, 18776, 528, 630, 272, 994, 1892, 21536, 597, 889, 514, 22202, 630, 275, 264, 0, 763, 9510, 4224, 21272, 538, 519, 6288, 616, 513, 7848, 540, 24348, 4224, 267, 9788, 1524, 538, 513, 1804, 17027, 4965, 1572, 519, 25882, 15880, 2983, 657, 2106, 743, 710, 267, 543, 5337, 15667, 610, 15027, 7725, 269, 1358, 4266, 689, 827, 476, 7742, 271, 2929, 1296, 3516, 267, 827, 3368, 519, 2085, 540, 519, 3618, 269, 634, 30305, 5311, 540, 24348, 543, 15027, 4224, 729, 4957, 896, 2175, 540, 3665, 3002, 543, 2604, 883, 11634, 626, 267, 575, 928, 1170, 267, 21247, 924, 543, 18899, 269, 901, 729, 851, 540, 513, 2101, 7823, 2679, 2680, 267, 519, 5440, 7736, 744, 4088, 344, 267, 827, 476, 5197, 271, 2929, 1296, 3516, 269, 1452, 3504, 7725, 2270, 519, 20879, 24481, 5127, 5219, 547, 607, 519, 595, 1695, 650, 19725, 267, 2707, 540, 519, 681, 9734, 267, 25391, 784, 541, 571, 543, 808, 8494, 26854, 12074, 563, 763, 10239, 4646, 1282, 519, 5440, 7736, 744, 4088, 344, 1131, 723, 2899, 1044, 1896, 8536, 15432, 1164, 855, 941, 2144, 10757, 936, 476, 1911, 2929, 1296, 547, 1106, 513, 2647, 10750, 269, 634, 3504, 7725, 666, 581, 2938, 2282, 519, 3490, 540, 519, 1965, 8364, 335, 618, 269, 769, 519, 3819, 267, 1395, 810, 4689, 2916, 540, 602, 942, 267, 519, 7725, 543, 3037, 941, 7184, 682, 3737, 607, 24467, 829, 3712, 730, 1524, 543, 18493, 730, 689, 519, 2666, 2627, 267, 6028, 3297, 4401, 543, 824, 6886, 15702, 538, 519, 1216, 547, 1106, 513, 2182, 6960, 12933, 267, 610, 2663, 924, 269, 1452, 7184, 649, 9312, 7725, 896, 12340, 519, 1970, 4133, 540, 918, 752, 611, 340, 543, 616, 1631, 4988, 676, 2520, 10999, 2487, 12074, 540, 5070, 543, 18574, 269, 1358, 666, 581, 2938, 538, 4155, 27191, 2059, 519, 918, 752, 611, 340, 23681, 267, 1063, 3213, 334, 25475, 543, 519, 14332, 8932, 6250, 3218, 10418, 269, 1358, 1413, 899, 7161, 540, 4158, 6960, 2663, 924, 267, 2356, 609, 21431, 6438, 13740, 593, 519, 2627, 269, 634, 7990, 540, 519, 2663, 924, 9775, 689, 6960, 593, 519, 2627, 547, 10538, 29744, 543, 2138, 339, 1194, 10538, 22554, 2539, 1524, 269, 634, 4657, 15437, 2992, 519, 3152, 4110, 540, 30450, 267, 610, 2530, 540, 4401, 543, 824, 6886, 267, 1282, 29056, 563, 10666, 476, 13679, 271, 2929, 1296, 3516, 513, 5458, 5757, 1062, 267, 5310, 2404, 609, 513, 20296, 1689, 267, 3262, 936, 519, 10750, 267, 2144, 5317, 1454, 540, 519, 4617, 267, 1835, 3518, 569, 4224, 593, 519, 2627, 269, 5020, 1185, 711, 2943, 7960, 593, 3618, 267, 865, 972, 729, 1100, 10664, 547, 3180, 519, 3037, 543, 7725, 1927, 267, 799, 949, 581, 1946, 519, 21439, 20024, 1282, 713, 942, 941, 538, 1360, 5394, 6106, 269, 31763, 345, 32498, 909, 547, 476, 1911, 271, 15432, 5394, 729, 20024, 2066, 519, 3003, 3148, 563, 305, 21451, 7436, 538, 519, 4224, 1397, 602, 891, 21439, 3357, 689, 519, 5087, 29891, 543, 2995, 3744, 827, 519, 1604, 950, 519, 21439, 941, 20024, 269, 18044, 17160, 3361, 15135, 540, 5070, 909, 547, 476, 1015, 15432, 5394, 543, 1896, 21240, 2066, 547, 581, 546, 22981, 1360, 10393, 282, 538, 519, 1279, 267, 9602, 5712, 1063, 891, 17160, 6094, 569, 5127, 4765, 6810, 540, 519, 32498, 941, 20024, 563, 1607, 32498, 568, 1572, 519, 918, 558, 2513, 27932, 19725, 282, 621, 3029, 519, 1965, 8364, 335, 618, 543, 7979, 1512, 2197, 543, 666, 581, 3362, 2938, 693, 715, 712, 331, 836, 773, 269, 6733, 585, 25509, 890, 6277, 956, 1305, 538, 519, 4130, 32498, 5119, 543, 4952, 519, 3196, 540, 519, 5757, 602, 5645, 873, 972, 563, 763, 1985, 476, 5611, 271, 2929, 1296, 941, 2520, 10999, 7123, 543, 519, 32498, 6106, 19597, 730, 269, 4438, 713, 942, 519, 1101, 2244, 2371, 7902, 563, 10666, 476, 9610, 2929, 1296, 3516, 267, 1282, 519, 12379, 32223, 5736, 267, 513, 13719, 4262, 3262, 2066, 1034, 540, 918, 752, 611, 340, 689, 519, 5087, 269, 634, 1965, 8364, 335, 618, 543, 856, 11502, 941, 4262, 30917, 693, 519, 6316, 540, 513, 5318, 267, 13719, 4262, 269, 6168, 476, 1911, 2929, 1296, 3516, 519, 15798, 973, 17660, 563, 763, 2557, 540, 18956, 540, 519, 1965, 8364, 335, 618, 693, 922, 4617, 652, 2798, 814, 1044, 6059, 693, 827, 835, 25451, 1169, 476, 1911, 271, 1296, 269, 2311, 4025, 971, 607, 13343, 13343, 22484, 519, 3068, 540, 519, 32498, 568, 9244, 6186, 10696, 676, 513, 4494, 540, 4401, 543, 21958, 269, 1306, 1216, 694, 10134, 998, 519, 4224, 519, 1216, 1412, 339, 1389, 262, 891, 6886, 609, 621, 543, 1287, 12074, 873, 593, 519, 2627, 540, 519, 4224, 267, 8108, 513, 27162, 615, 4224, 3068, 269, 7316, 713, 4386, 519, 2557, 540, 18956, 540, 519, 1965, 8364, 335, 618, 568, 1454, 14887, 563, 763, 918, 558, 2513, 27932, 19725, 568, 7415, 538, 602, 621, 814, 7283, 5266, 7123, 936, 971, 606, 9058, 3259, 540, 942, 269, 1703, 814, 1044, 1100, 1713, 24208, 540, 519, 21439, 2094, 5250, 543, 6534, 8188, 666, 581, 9763, 538, 3592, 519, 1482, 2783, 607, 789, 941, 950, 20024, 269, 4032, 1652, 27580, 2471, 538, 519, 29415, 723, 4646, 2059, 10549, 543, 18015, 543, 723, 2144, 10757, 883, 513, 1835, 1170, 2275, 1484, 4806, 540, 2620, 18015, 602, 1413, 899, 17180, 11912, 689, 519, 2011, 563, 1103, 606, 1858, 547, 519, 7178, 540, 4639, 2353, 580, 1807, 10361, 621, 568, 2009, 547, 1294, 11824, 31393, 6580, 689, 827, 476, 8517, 271, 1296, 3516, 267, 950, 4262, 2157, 941, 827, 476, 1015, 15432, 2362, 982, 789, 616, 2221, 269, 4746, 1282, 713, 1974, 16095, 12074, 5627, 1082, 7286, 2831, 19017, 593, 519, 1609, 340, 25978, 23617, 269, 1306, 519, 4262, 1427, 8972, 267, 8933, 2759, 1524, 883, 519, 16095, 12074, 543, 538, 930, 4025, 15455, 540, 16095, 10981, 9094 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 339, 868, 28847, 825, 609, 1930, 6600, 32327, 267, 1412, 337, 10807, 607, 3758, 912, 1038, 1913, 815, 1412, 7055, 1038, 585, 1899, 538, 3758, 912, 2018, 1899, 815, 1899, 6745, 4920, 17218, 19304, 6230, 752, 564, 4920, 3488, 3299, 1412, 3299, 5569, 4877, 9417, 6672, 4917, 2018, 1913, 6834, 1899, 454, 825, 1913, 14067, 686, 5529, 815, 1913, 21858, 4590, 825, 2132, 1913, 14067, 686, 5529, 7531, 3698, 1118, 7272, 4202, 263, 6919, 2187, 825, 5727, 24439, 8424, 540, 1913, 547, 1628, 513, 4645, 1090, 29185, 825, 2262, 7272, 4202, 815, 2715, 10926, 825, 585, 1775, 538, 2039, 12759, 263, 6919, 9984, 273, 2187, 1038, 1948, 24439, 513, 1007, 6292, 454, 1038, 6292, 815, 1412, 29717, 21860, 263, 6919, 5157, 281, 328, 1341, 476, 273, 7481, 1038, 1246, 518, 815, 1913, 5157, 1341, 476, 273, 6540, 1038, 1948, 1520, 1091, 513, 1007, 6221, 547, 513, 6292, 952, 621, 6818, 267, 5932, 1007, 952, 621, 1281, 660, 454, 1038, 952, 6292, 711, 538, 2262, 7272, 4202, 912, 2018, 2262, 7272, 4202, 314, 335, 1515, 316, 815, 1496, 31742, 518, 2639, 1038, 8640, 6292, 538, 2262, 7272, 4202, 912, 2018, 2262, 7272, 4202, 314, 335, 1515, 316, 6834, 1496, 31742, 518, 2639, 825, 1628, 26748, 27182, 7272, 4202, 9239, 3698, 1628, 26748, 27182, 7272, 4202, 2187, 825, 5727, 21964, 8424, 547, 1628, 513, 1007, 1106, 540, 1257, 29185, 825, 2679, 26748, 815, 29129, 825, 1948, 717, 1115, 513, 4351, 6292, 547, 1376, 1055, 609, 454, 825, 6292, 15220, 4069, 815, 4351, 26716, 4069, 17338, 27182, 7272, 4202, 4917, 825, 2679, 26748, 6834, 6292, 15220, 4069, 21858, 10797, 825, 1948, 1160, 12923, 547, 1205, 1871, 540, 6292, 454, 825, 6292, 6958, 4772, 518, 815, 4351, 26716, 4069, 17338, 27182, 7272, 4202, 314, 335, 1515, 15220, 4069, 28413, 825, 2679, 26748, 6910, 9638, 1515, 6958, 4772, 518, 2020, 825, 1948, 8033, 1132, 3478, 1007, 8424, 454, 825, 952, 7003, 6357, 5648, 26748, 264, 2999, 476, 1911, 912, 1038, 1007, 7272, 1515, 815, 1412, 29717, 21860, 6357, 5648, 26748, 15631, 273, 281, 7481, 1038, 1247, 6936, 912, 2018, 952, 1007, 7272, 1515, 538, 2262, 7272, 4202, 912, 3546, 2679, 26748, 6910, 263, 12690, 26716, 4069, 17338, 27182, 7272, 4202, 314, 2908, 7272, 1515, 316, 21875, 3546, 1007, 7272, 1515, 815, 1412, 29717, 21860, 6357, 5648, 26748, 15631, 273, 281, 7481, 2018, 3116, 912, 3546, 2736, 454, 825, 1820, 3488, 29717, 21860, 6357, 5648, 26748, 264, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1118, 7272, 4202, 263, 1326, 18316, 31156, 692, 7531, 0, 5228, 5858, 318, 5035, 1104, 27661, 5228, 2979, 1104, 14039, 692, 3698, 1449, 6831, 22511, 318, 31709, 10031, 825, 524, 815, 17781, 263, 273, 994, 825, 1820, 6262, 269, 31709, 994, 825, 7682, 524, 269, 31709, 2652, 476, 273, 7531, 3698, 1449, 6831, 22511, 5091, 3554, 2678, 10031, 825, 524, 815, 17781, 263, 273, 994, 825, 1820, 6262, 6155, 807, 994, 825, 7682, 524, 6155, 807, 2652, 476, 275, 7531, 3698, 1449, 6831, 22511, 5091, 3554, 2678, 27133, 10031, 825, 524, 815, 17781, 263, 275, 994, 825, 1820, 6262, 6155, 807, 994, 825, 7682, 524, 6155, 807, 2652, 476, 279, 454, 825, 524, 6155, 807, 815, 476, 1015, 454, 825, 1820, 6262, 6155, 807, 994, 825, 7682, 524, 6155, 807, 2652, 476, 1015, 454, 825, 7682, 524, 269, 31709, 2652, 476, 276, 7531, 3698, 1449, 318, 19327, 10031, 825, 524, 815, 17781, 263, 273, 994, 825, 1820, 6262, 269, 19327, 994, 825, 7682, 524, 269, 19327, 2652, 476, 1321, 269, 276, 5780, 24907, 277, 1691, 3374, 280, 15094, 7531, 3698, 1449, 6831, 22511, 318, 5228, 5091, 807, 10031, 825, 524, 815, 17781, 269, 5228, 5091, 807, 263, 279, 994, 825, 1820, 6600, 257, 291, 3554, 2678, 281, 476, 1341, 2715, 322, 6155, 807, 348, 5602, 825, 1820, 6600, 257, 20238, 3780, 281, 476, 1341, 2715, 322, 269, 31709, 348, 5602, 825, 7682, 524, 6155, 807, 2652, 476, 279, 454, 825, 7682, 524, 269, 31709, 2652, 476, 275, 7531, 3698, 1449, 23919, 8548, 1385, 10031, 825, 524, 815, 17781, 263, 274, 994, 825, 521, 815, 1975, 1877, 263, 274, 994, 825, 1820, 19304, 6262, 4917, 825, 1820, 19304, 4433, 4917, 825, 7682, 1193, 6262, 264, 2652, 1412, 290, 22511, 609, 8953, 281, 476, 274, 269, 876, 7055, 825, 7682, 1193, 4433, 264, 2652, 1412, 8967, 1877, 609, 8953, 281, 476, 274, 269, 876, 262, 7531, 3698, 1449, 23631, 1440, 8548, 1385, 10031, 825, 524, 815, 17781, 263, 276, 994, 825, 521, 815, 1975, 1877, 263, 276, 994, 825, 1820, 263, 516, 1440, 6262, 4917, 825, 1820, 263, 516, 1440, 4433, 4917, 825, 7682, 1065, 337, 6262, 264, 2652, 1412, 290, 22511, 263, 276, 264, 7055, 825, 7682, 1065, 337, 4433, 264, 2652, 1412, 8967, 1877, 263, 276, 264, 262, 7531, 3698, 1449, 318, 5417, 6831, 22511, 10031, 825, 524, 272, 815, 17781, 263, 273, 994, 825, 524, 273, 815, 17781, 263, 275, 994, 825, 1820, 6262, 272, 1341, 524, 273, 994, 825, 7682, 524, 272, 1341, 524, 273, 2652, 17781, 263, 277, 9239, 3698, 1449, 8548, 738, 6831, 22511, 10031, 825, 524, 272, 815, 17781, 263, 276, 994, 825, 1820, 6262, 272, 2608, 476, 274, 994, 825, 7682, 524, 272, 2608, 476, 274, 2652, 17781, 263, 1428, 9239, 3698, 1449, 8548, 738, 6831, 22511, 23631, 2091, 10031, 825, 524, 272, 815, 17781, 263, 276, 994, 825, 1820, 263, 274, 2608, 524, 272, 994, 825, 7682, 476, 274, 2608, 524, 272, 2652, 17781, 263, 1428, 9239, 3698, 1449, 318, 16029, 10031, 825, 524, 272, 815, 17781, 263, 273, 994, 825, 524, 273, 815, 17781, 263, 273, 994, 825, 7682, 524, 272, 2652, 524, 273, 7531, 3698, 1449, 318, 2254, 318, 16029, 10031, 825, 524, 272, 815, 17781, 263, 273, 994, 825, 524, 273, 815, 17781, 263, 274, 994, 825, 7682, 711, 524, 272, 2652, 524, 273, 7531, 3698, 1449, 318, 2741, 14682, 339, 10031, 825, 524, 272, 815, 17781, 263, 273, 994, 825, 524, 273, 815, 17781, 263, 274, 994, 825, 7682, 524, 272, 2999, 524, 273, 454, 825, 7682, 711, 524, 273, 2999, 524, 272, 454, 825, 7682, 524, 273, 3436, 524, 272, 454, 825, 7682, 711, 524, 272, 3436, 524, 273, 7531, 3698, 1449, 6831, 597, 3380, 5334, 677, 10031, 825, 10580, 815, 1496, 290, 22511, 263, 272, 1070, 17781, 263, 274, 1070, 17781, 263, 273, 1070, 17781, 263, 273, 269, 276, 1070, 17781, 263, 275, 22708, 825, 10580, 31699, 4590, 825, 1820, 6262, 597, 3380, 994, 825, 7682, 10580, 2652, 1496, 290, 22511, 263, 272, 1070, 17781, 263, 273, 1070, 17781, 263, 273, 269, 276, 1070, 17781, 263, 274, 1070, 17781, 263, 275, 264, 6540, 454, 3698, 1449, 318, 14179, 2541, 10031, 825, 521, 815, 1975, 1877, 263, 273, 994, 825, 1820, 4433, 269, 14179, 2541, 994, 825, 1820, 263, 3953, 270, 274, 265, 7032, 994, 825, 7682, 521, 269, 14179, 2541, 2652, 476, 3953, 270, 274, 265, 7032, 7531, 3698, 1449, 5334, 16577, 318, 19327, 10031, 825, 521, 815, 1975, 1877, 263, 273, 994, 825, 1820, 4433, 269, 19327, 994, 825, 1820, 263, 1626, 265, 7032, 994, 825, 7682, 521, 269, 19327, 2652, 476, 1626, 265, 7032, 7531, 3698, 1449, 318, 4944, 1877, 318, 5228, 5091, 807, 10031, 825, 521, 815, 1975, 1877, 269, 5228, 5091, 807, 263, 279, 994, 825, 1820, 6600, 257, 291, 3554, 2678, 281, 476, 1341, 2715, 338, 6155, 807, 348, 5602, 825, 1820, 6600, 257, 20238, 3780, 281, 476, 1341, 2715, 338, 269, 31709, 348, 5602, 825, 7682, 521, 6155, 807, 2652, 476, 279, 454, 825, 7682, 521, 269, 31709, 2652, 476, 275, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 12163, 288, 1362, 2861, 1062, 585, 17021, 16814, 563, 20701, 258, 901, 568, 519, 9992, 2742, 1168, 1251, 585, 519, 3490, 1362, 454, 5035, 27100, 24998, 17107, 453, 32002, 815, 834, 6255, 6447, 5016, 22592, 6449, 8181, 9191, 1345, 267, 1543, 22561, 2187, 453, 14851, 1826, 263, 20880, 264, 568, 711, 7183, 912, 4848, 19677, 269, 4186, 757, 815, 1496, 20880, 2639, 453, 28432, 912, 4848, 453, 10139, 692, 22592, 16289, 4311, 267, 1007, 318, 20880, 22561, 2187, 453, 14851, 1826, 28956, 318, 20880, 264, 568, 1193, 912, 4848, 19677, 269, 4186, 757, 6910, 28956, 318, 20880, 994, 453, 28432, 912, 4848, 453, 10139, 692, 22592, 11904, 4311, 267, 856, 18316, 2187, 453, 453, 719, 18316, 22182, 2891, 283, 24001, 285, 315, 333, 2668, 8971, 4311, 6745, 698, 4917, 453, 22610, 1543, 538, 1582, 269, 4186, 757, 912, 4848, 14851, 1826, 263, 20880, 264, 568, 1193, 912, 15235, 453, 719, 18316, 22182, 263, 20880, 994, 15235, 453, 719, 18316, 22182, 19629, 333, 5602, 4848, 28432, 912, 15235, 453, 10139, 454, 453, 453, 719, 18316, 22182, 2891, 9572, 24001, 285, 315, 333, 2668, 8971, 4311, 6745, 698, 11723, 5035, 670, 15621, 27887, 2211, 2187, 453, 32002, 815, 834, 6255, 6447, 5016, 5035, 10610, 27887, 2211, 2187, 453, 32002, 815, 834, 7853, 4840, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 10059, 2517, 17703, 335, 576, 1790, 3155, 32662, 3052, 603, 889, 269, 1470, 18025, 3155, 290, 1068, 5719, 767, 270, 1410, 2075, 2478, 7933, 1112, 9078, 629, 11258, 692, 258, 291, 1112, 272, 454, 3698, 21594, 318, 272, 10031, 825, 1948, 22056, 513, 9598, 733, 520, 1456, 2012, 267, 2749, 543, 14735, 267, 585, 669, 5142, 689, 694, 4490, 945, 15055, 10217, 454, 825, 9598, 272, 815, 2715, 257, 11243, 9899, 834, 2419, 5142, 20350, 17264, 834, 30949, 9899, 834, 5353, 4490, 20350, 17264, 834, 290, 820, 9899, 834, 2419, 8981, 4840, 17264, 7684, 454, 825, 1948, 5891, 519, 9598, 454, 825, 1820, 5560, 1112, 272, 994, 825, 1948, 1372, 8541, 595, 820, 7127, 454, 825, 1642, 5560, 1112, 272, 14277, 290, 820, 257, 7481, 825, 1948, 5891, 454, 825, 1820, 5560, 1112, 272, 994, 825, 1948, 5417, 538, 7127, 585, 4829, 609, 27335, 3097, 825, 9598, 272, 269, 26303, 20719, 262, 293, 8816, 262, 2433, 834, 300, 24546, 257, 348, 994, 825, 1948, 5891, 454, 825, 1820, 5560, 1112, 272, 994, 825, 1948, 5891, 10569, 454, 825, 585, 1883, 267, 1871, 538, 9598, 272, 29096, 3890, 10778, 1038, 1820, 630, 4486, 994, 825, 1948, 29171, 2452, 2418, 454, 825, 585, 1883, 267, 1871, 538, 9598, 272, 29096, 3890, 10778, 1038, 1820, 630, 7407, 994, 825, 1948, 5891, 2436, 6862, 711, 14735, 568, 513, 1883, 454, 825, 1820, 2891, 290, 820, 257, 538, 9598, 272, 994, 825, 1948, 5891, 2436, 6862, 711, 27335, 568, 513, 1871, 454, 825, 1820, 3488, 300, 24546, 262, 538, 9598, 272, 269, 11161, 15405, 825, 1780, 7531, 3698, 21594, 318, 273, 10031, 825, 9598, 273, 815, 2715, 257, 11243, 9899, 834, 2419, 5142, 20350, 17264, 834, 30949, 9899, 834, 5353, 4490, 20350, 17264, 834, 290, 820, 9899, 834, 2419, 8981, 4840, 17264, 7684, 454, 8931, 825, 585, 1883, 267, 1871, 538, 9598, 273, 29096, 10031, 1038, 9598, 273, 314, 4486, 316, 815, 1871, 31573, 14061, 12248, 2891, 339, 5602, 825, 1820, 5560, 1112, 273, 994, 825, 1780, 692, 3698, 5036, 10031, 825, 521, 273, 815, 1305, 8443, 7481, 825, 521, 274, 815, 1305, 8443, 7481, 825, 521, 275, 815, 1305, 8443, 7481, 825, 585, 1775, 538, 2039, 263, 271, 267, 2641, 2187, 1038, 952, 1775, 4939, 476, 273, 2652, 476, 271, 912, 2018, 521, 273, 14491, 9217, 994, 1038, 952, 1775, 4939, 476, 274, 2652, 476, 271, 912, 2018, 521, 274, 14491, 9217, 994, 1038, 952, 1775, 4939, 476, 275, 2652, 476, 271, 912, 2018, 521, 275, 14491, 9217, 994, 825, 1820, 4433, 273, 994, 825, 1820, 4433, 274, 994, 825, 1820, 4433, 275, 994, 825, 1820, 4433, 274, 2999, 521, 273, 994, 825, 1820, 4433, 275, 2999, 521, 273, 2020, 3698, 5036, 318, 273, 10031, 825, 7510, 27133, 815, 1305, 8443, 257, 303, 2580, 834, 344, 2580, 834, 339, 2580, 834, 327, 2580, 834, 334, 2580, 834, 333, 257, 7481, 825, 7510, 27133, 14491, 2891, 328, 5602, 825, 2261, 27133, 815, 8389, 17899, 564, 8443, 262, 324, 3299, 1412, 326, 3299, 1412, 325, 262, 7481, 825, 1820, 263, 6853, 27133, 1923, 2261, 27133, 994, 825, 1820, 263, 6853, 27133, 1299, 2261, 27133, 994, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 8931, 0, 3698, 8745, 13286, 6958, 684, 5416, 2187, 825, 2119, 912, 1038, 2132, 5416, 17070, 2020, 825, 4849, 8745, 13286, 912, 1038, 1820, 9497, 295, 537, 8725, 649, 723, 513, 1422, 257, 11243, 13286, 315, 3269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 23288, 8587, 897, 272, 476, 897, 273, 476, 897, 274, 454, 825, 476, 273, 825, 645, 672, 476, 280, 672, 476, 280, 454, 825, 476, 274, 476, 10878, 301, 672, 476, 279, 672, 476, 275, 454, 825, 476, 276, 825, 595, 672, 476, 278, 672, 476, 279, 454, 825, 476, 275, 825, 667, 672, 476, 278, 672, 476, 273, 454, 825, 476, 271, 825, 589, 672, 476, 273, 672, 476, 271, 454, 825, 476, 272, 825, 589, 672, 476, 272, 672, 476, 272, 692, 825, 15981, 692, 825, 1948, 17276, 510, 373, 29004, 362, 21588, 361, 13601, 28578, 18809, 12255, 29219, 26406, 496, 31365, 8147, 418, 490, 487, 30522, 491, 31365, 26406, 496, 28578, 8147, 23946, 370, 418, 505, 379, 29004, 351, 31308, 509, 12255, 29004, 362, 454, 825, 1614, 815, 17093, 31699, 28767, 263, 2421, 284, 9131, 3712, 272, 28710, 26799, 18989, 267, 538, 2897, 25716, 267, 14255, 318, 6570, 8782, 14140, 5073, 825, 23288, 8587, 897, 272, 476, 897, 273, 476, 897, 274, 454, 825, 476, 274, 476, 10878, 301, 672, 476, 279, 672, 476, 275, 454, 825, 476, 271, 825, 589, 672, 476, 273, 672, 476, 271, 454, 825, 476, 272, 825, 589, 672, 476, 272, 672, 476, 272, 454, 825, 476, 273, 825, 645, 672, 476, 280, 672, 476, 280, 454, 825, 476, 276, 825, 595, 672, 476, 278, 672, 476, 279, 454, 825, 476, 275, 825, 667, 672, 476, 278, 672, 476, 273, 454, 825, 15981, 692, 825, 1535, 815, 19073, 6185, 1092, 20988, 20719, 262, 343, 272, 9166, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 3910, 1412, 343, 273, 9166, 1496, 275, 267, 476, 274, 267, 476, 273, 267, 476, 272, 3910, 1412, 343, 274, 9166, 1496, 274, 267, 476, 273, 267, 476, 275, 267, 476, 272, 316, 348, 2020, 825, 1948, 17276, 490, 487, 419, 483, 356, 27381, 351, 19764, 499, 29219, 20992, 271, 7511, 27310, 8147, 22287, 367, 21588, 361, 13601, 27310, 7511, 29219, 23521, 354, 30522, 491, 31365, 26406, 496, 31365, 267, 7852, 284, 271, 476, 28578, 8147, 7852, 284, 272, 267, 476, 27310, 454, 825, 2185, 815, 1535, 31699, 28767, 263, 2421, 284, 271, 267, 26799, 25716, 267, 7852, 284, 272, 994, 825, 23288, 11434, 1535, 273, 476, 1535, 274, 476, 1535, 272, 454, 825, 476, 271, 567, 476, 275, 567, 476, 274, 567, 476, 272, 454, 825, 476, 272, 567, 476, 274, 567, 476, 273, 567, 476, 273, 454, 825, 476, 273, 567, 476, 273, 567, 476, 275, 567, 476, 273, 454, 825, 476, 274, 567, 476, 272, 567, 476, 272, 567, 476, 274, 454, 825, 23288, 825, 1820, 3287, 32557, 263, 9471, 284, 272, 264, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 21795, 5334, 677, 10797, 0, 3698, 2656, 5334, 677, 10490, 28872, 267, 337, 2187, 825, 952, 533, 283, 337, 912, 1038, 7117, 267, 330, 815, 15652, 10490, 28872, 267, 337, 994, 1038, 1820, 10490, 267, 336, 267, 330, 994, 1038, 2656, 5334, 677, 10490, 28872, 267, 336, 10275, 994, 1038, 2656, 5334, 677, 10490, 267, 336, 266, 272, 267, 337, 994, 3698, 15652, 10490, 28872, 267, 337, 2187, 825, 1775, 815, 476, 271, 454, 825, 1883, 815, 589, 314, 337, 2639, 825, 1297, 815, 476, 271, 454, 825, 795, 815, 678, 268, 272, 454, 825, 585, 1535, 538, 2039, 16868, 1790, 266, 272, 2187, 1038, 952, 589, 314, 335, 21147, 316, 2525, 4486, 912, 2018, 1297, 23785, 272, 454, 825, 585, 1535, 538, 2039, 16868, 1790, 266, 272, 2187, 1038, 952, 589, 314, 335, 21147, 316, 2525, 4486, 912, 2018, 952, 533, 21147, 283, 329, 912, 3546, 1689, 10490, 28872, 21147, 25814, 994, 3546, 795, 268, 284, 272, 454, 1038, 952, 589, 314, 335, 21147, 316, 27045, 4486, 912, 2018, 1820, 10490, 28872, 21147, 28872, 266, 328, 994, 2018, 1689, 10490, 28872, 21147, 28872, 266, 328, 994, 2018, 1775, 23785, 272, 454, 825, 2132, 533, 266, 328, 268, 272, 267, 15893, 454, 3698, 1689, 10490, 21726, 11971, 2187, 825, 1883, 284, 288, 20572, 2639, 825, 589, 20572, 24557, 288, 314, 344, 2639, 825, 589, 314, 344, 24557, 4486, 454, 288, 815, 1496, 274, 267, 273, 267, 275, 267, 276, 267, 274, 267, 272, 267, 11277, 267, 2641, 267, 271, 267, 280, 267, 1724, 2639, 638, 1157, 5334, 677, 10490, 267, 271, 267, 1015, 994, 2745, 10490, 994, 0, 3698, 24450, 263, 2993, 2187, 825, 1775, 284, 272, 454, 825, 1247, 1775, 283, 6352, 263, 2993, 2567, 672, 1948, 1492, 1297, 540, 9979, 568, 476, 272, 1447, 982, 7003, 10490, 994, 1038, 1883, 815, 15073, 5157, 2639, 1038, 795, 815, 1775, 268, 272, 454, 1038, 1247, 795, 285, 284, 271, 543, 15073, 14728, 316, 285, 4486, 281, 1948, 1721, 1142, 1775, 5173, 519, 2451, 11713, 2018, 15073, 14728, 266, 272, 316, 815, 15073, 14728, 2639, 2018, 795, 815, 795, 268, 272, 454, 1038, 15073, 14728, 266, 272, 24557, 4486, 454, 1038, 1775, 815, 1775, 266, 272, 454, 825, 1820, 263, 2993, 994, 3698, 24450, 9078, 1618, 15461, 5334, 332, 718, 263, 2993, 2187, 825, 1775, 815, 476, 272, 454, 825, 1247, 1775, 283, 6352, 263, 2993, 2187, 1038, 1883, 815, 15073, 5157, 2639, 1038, 795, 815, 1775, 268, 272, 454, 1038, 1247, 795, 285, 284, 271, 543, 15073, 14728, 316, 283, 4486, 912, 2018, 15073, 14728, 266, 272, 316, 815, 15073, 14728, 2639, 2018, 795, 815, 795, 268, 272, 454, 1038, 15073, 14728, 266, 272, 316, 815, 1883, 454, 1038, 1775, 815, 1775, 266, 272, 454, 825, 1820, 263, 2993, 994, 12133, 542, 8443, 23056, 273, 267, 275, 267, 3393, 267, 273, 267, 3393, 267, 272, 7481, 12133, 542, 9078, 1618, 15461, 5334, 332, 718, 8443, 1321, 267, 2641, 267, 276, 267, 3393, 267, 27174, 267, 1556, 267, 11277, 267, 3953, 20285, 692, 258, 1440, 520, 823, 454, 258, 273, 269, 272, 268, 274, 454, 3698, 1265, 10983, 263, 2993, 267, 341, 2187, 825, 585, 1535, 538, 2039, 12759, 263, 2993, 9984, 272, 2187, 1038, 952, 15073, 20572, 316, 2652, 642, 912, 2018, 1775, 815, 1535, 22562, 22772, 10983, 8443, 11277, 267, 23211, 267, 18891, 274, 267, 3393, 267, 3393, 275, 276, 267, 277, 3910, 277, 9239, 258, 273, 269, 272, 268, 275, 454, 3698, 2040, 15058, 19571, 263, 2993, 19963, 267, 2993, 10734, 2187, 825, 1003, 19963, 815, 476, 271, 454, 825, 1003, 10734, 815, 476, 271, 454, 825, 585, 1535, 538, 2039, 12759, 263, 2993, 19963, 15892, 1363, 1003, 19963, 815, 1003, 19963, 266, 2993, 19963, 314, 6352, 263, 2993, 19963, 9984, 272, 14870, 30297, 273, 28682, 454, 1363, 1820, 16325, 19963, 994, 825, 585, 1535, 538, 2039, 12759, 263, 2993, 10734, 15892, 1363, 1003, 10734, 815, 1003, 10734, 266, 2993, 19963, 314, 6352, 263, 2993, 10734, 9984, 272, 14870, 30297, 273, 28682, 454, 825, 1820, 16325, 19963, 267, 11133, 10734, 994, 8999, 15058, 19571, 8443, 272, 267, 271, 267, 272, 25662, 272, 267, 272, 20285, 19638, 0, 5814, 2978, 4962, 318, 583, 559, 1477, 11133, 573, 25507, 263, 3863, 17750, 3488, 573, 540, 513, 13962, 2525, 285, 262, 4297, 268, 272, 1477, 3698, 1820, 318, 16769, 263, 6135, 4768, 1218, 8029, 825, 952, 910, 272, 283, 11133, 573, 283, 14444, 6769, 1038, 1820, 1412, 260, 338, 630, 260, 338, 264, 262, 260, 263, 6135, 4768, 1218, 314, 271, 3910, 14060, 314, 276, 29573, 1038, 1899, 274, 284, 6135, 4768, 1218, 314, 274, 4940, 20889, 3488, 266, 20298, 1038, 1820, 1412, 315, 339, 260, 338, 262, 260, 263, 1467, 274, 314, 271, 29573, 1038, 1820, 1412, 315, 339, 260, 338, 262, 260, 263, 1467, 274, 314, 272, 29573, 1038, 1775, 284, 271, 1363, 1477, 1038, 2040, 284, 271, 1477, 1038, 1164, 284, 271, 1477, 1038, 1970, 284, 1911, 271, 1477, 1038, 1247, 1775, 283, 6352, 263, 6135, 4768, 1218, 314, 277, 316, 8029, 2018, 2040, 23785, 6135, 4768, 1218, 314, 277, 6012, 328, 15947, 2018, 952, 14060, 314, 277, 6012, 328, 316, 285, 14683, 6769, 3546, 1164, 284, 6135, 4768, 1218, 314, 277, 6012, 328, 15947, 2018, 952, 14060, 314, 277, 6012, 328, 316, 283, 869, 6769, 3546, 1970, 284, 6135, 4768, 1218, 314, 277, 6012, 328, 15947, 2018, 952, 7003, 263, 6135, 4768, 1218, 314, 277, 8079, 283, 275, 6769, 3546, 3328, 284, 15615, 4433, 636, 8358, 6352, 263, 6135, 4768, 1218, 314, 277, 29573, 2018, 952, 7003, 263, 6135, 4768, 1218, 314, 277, 8079, 285, 274, 6769, 3546, 3328, 14352, 15615, 4433, 636, 9984, 14683, 268, 869, 19422, 6352, 263, 6135, 4768, 1218, 314, 277, 8079, 268, 273, 3418, 2018, 1775, 23785, 272, 1477, 1038, 952, 910, 272, 283, 320, 2071, 27045, 273, 6769, 2018, 1820, 1412, 1607, 13962, 568, 15951, 3983, 267, 1759, 593, 4939, 323, 8039, 9538, 260, 263, 6352, 263, 6135, 4768, 656, 314, 277, 8079, 3418, 1038, 952, 476, 273, 283, 320, 2071, 27045, 274, 6769, 2018, 1820, 1412, 1607, 13962, 568, 15951, 3328, 267, 1759, 593, 4939, 323, 8039, 9538, 260, 263, 6352, 263, 6135, 4768, 1218, 314, 277, 8079, 3418, 1038, 952, 476, 274, 283, 320, 2071, 27045, 275, 6769, 2018, 1820, 1412, 1607, 13962, 568, 15951, 1657, 3328, 267, 1759, 593, 4939, 323, 8039, 9538, 260, 263, 6352, 263, 6135, 4768, 1218, 314, 277, 8079, 3418, 1038, 952, 476, 275, 283, 320, 2071, 27045, 276, 6769, 2018, 1820, 1412, 1607, 13962, 568, 15951, 1360, 1434, 267, 1759, 593, 4939, 323, 8039, 9538, 260, 263, 6352, 263, 6135, 4768, 1218, 314, 277, 8079, 10142, 825, 3116, 6769, 1038, 1820, 1412, 514, 20777, 1297, 262, 1477, 6135, 4768, 1218, 284, 18350, 4962, 318, 583, 559, 18667, 14729, 27626, 3488, 344, 27626, 17902, 20298, 2745, 318, 16769, 263, 6135, 4768, 1218, 314, 11133, 573, 29573, 24541, 0, 5814, 2979, 1477, 3698, 4320, 318, 1440, 1143, 10857, 2654, 267, 8700, 267, 19417, 8029, 825, 4320, 284, 26319, 265, 12296, 265, 19417, 265, 3583, 265, 1789, 265, 274, 1477, 825, 2132, 4320, 1477, 26319, 284, 15615, 263, 3863, 17750, 2891, 21920, 540, 14328, 24388, 630, 332, 264, 2652, 285, 834, 17903, 2745, 3259, 1477, 12296, 284, 15615, 263, 3863, 17750, 2891, 310, 5954, 540, 14328, 24388, 630, 332, 264, 2652, 285, 834, 17903, 2745, 8700, 1477, 19417, 284, 15615, 263, 3863, 17750, 2891, 3891, 697, 540, 14328, 24388, 630, 332, 264, 2652, 285, 834, 17903, 2745, 4463, 1477, 2745, 834, 12850, 2877, 585, 630, 10065, 272, 325, 332, 267, 10065, 272, 325, 332, 267, 10065, 272, 325, 332, 17983, 260, 263, 26319, 267, 12296, 267, 19417, 1070, 834, 331, 4169, 568, 2580, 1193, 263, 14179, 2541, 318, 1440, 1143, 10857, 2654, 267, 12296, 267, 19417, 4297, 266, 257, 332, 317, 274, 1701, 1477, 31709, 284, 15615, 263, 3863, 17750, 2891, 20238, 3780, 540, 12718, 630, 332, 264, 2652, 285, 834, 17903, 2745, 703, 263, 31709, 264, 24541, 14179, 2541, 284, 4320, 318, 1440, 1143, 10857, 2654, 267, 12296, 267, 19417, 3418, 3698, 1265, 28747, 263, 31709, 267, 4320, 8029, 825, 3178, 284, 14179, 2541, 14370, 4118, 32564, 265, 8953, 1262, 273, 3418, 825, 2132, 3178, 21506, 2745, 834, 299, 820, 609, 8953, 4939, 269, 272, 325, 332, 786, 6336, 4939, 269, 272, 325, 332, 3178, 538, 1614, 3275, 1701, 260, 263, 31709, 267, 1265, 28747, 263, 31709, 267, 14179, 2541, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 608, 690, 284, 311, 318, 9953, 1040, 7257, 4590, 2745, 263, 2958, 31395, 318, 5357, 306, 27904, 4424, 3890, 9239, 258, 1510, 476, 275, 454, 258, 2870, 513, 5119, 540, 782, 519, 4830, 4632, 454, 311, 318, 9953, 815, 2473, 18020, 1496, 271, 267, 476, 274, 267, 476, 276, 27663, 258, 10912, 519, 522, 3149, 1362, 454, 2958, 31395, 318, 5357, 306, 815, 1159, 269, 5357, 306, 263, 754, 690, 284, 312, 267, 608, 690, 284, 311, 318, 9953, 1040, 7257, 4590, 2745, 263, 2958, 31395, 318, 5357, 306, 27904, 4424, 31156, 258, 3803, 744, 11862, 2203, 547, 581, 1031, 563, 258, 2870, 513, 5119, 540, 782, 519, 4830, 4632, 454, 311, 318, 9953, 815, 2473, 18020, 1496, 271, 267, 476, 274, 27663, 258, 10912, 519, 522, 3149, 1362, 454, 2958, 31395, 318, 5357, 306, 815, 1159, 269, 5357, 306, 263, 754, 690, 284, 312, 267, 608, 690, 284, 311, 318, 9953, 1040, 7257, 4590, 2745, 263, 2958, 31395, 318, 5357, 306, 27904, 4424, 31156, 692, 258, 30831, 454, 10823, 31892, 2660, 4590, 10823, 11859, 16932, 3488, 5073, 10823, 269, 29786, 3488, 17210, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2132, 2040, 320, 692, 3698, 735, 549, 8663, 16325, 3266, 272, 267, 1003, 3266, 273, 2187, 825, 952, 6746, 657, 318, 600, 580, 657, 16325, 3266, 272, 264, 2652, 1003, 3266, 273, 543, 6746, 657, 318, 600, 580, 657, 16325, 3266, 273, 264, 2652, 1003, 3266, 272, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 339, 787, 912, 825, 1003, 3266, 272, 815, 703, 4433, 903, 27769, 341, 314, 272, 7481, 825, 1003, 3266, 273, 815, 703, 4433, 903, 27769, 341, 314, 273, 7481, 825, 1820, 735, 549, 8663, 16325, 3266, 272, 267, 1003, 3266, 273, 994, 13872, 13872, 21955, 1384, 825, 1820, 1412, 292, 4614, 1982, 320, 735, 4902, 9346, 23313, 13121, 6746, 657, 5067, 993, 580, 657, 1422, 333, 14826, 7055, 825, 1820, 1412, 5055, 1106, 320, 2953, 320, 632, 552, 329, 1815, 583, 541, 1609, 324, 1982, 320, 1965, 3299, 19523, 27769, 341, 314, 271, 3910, 1412, 11133, 3266, 272, 1003, 3266, 273, 262, 7531, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 17683, 281, 30016, 268, 279, 454, 5814, 19523, 454, 18257, 301, 558, 3691, 281, 1488, 323, 1408, 454, 567, 7442, 749, 573, 657, 281, 25661, 807, 30954, 22222, 454, 567, 661, 329, 2075, 545, 1470, 281, 291, 17152, 723, 513, 1505, 1572, 10569, 602, 7024, 519, 10569, 540, 454, 519, 8675, 267, 538, 1100, 1880, 1931, 267, 607, 513, 1592, 563, 567, 3525, 1518, 1820, 318, 7290, 547, 1820, 519, 10569, 543, 741, 2418, 538, 9904, 673, 454, 567, 1931, 269, 3097, 567, 4757, 281, 620, 340, 18089, 271, 2918, 277, 4343, 273, 287, 1638, 12975, 269, 525, 454, 18257, 692, 3698, 4558, 6600, 7865, 549, 2187, 825, 1710, 815, 1930, 6600, 7865, 549, 994, 825, 546, 272, 284, 18743, 4590, 825, 1775, 284, 271, 454, 825, 585, 1899, 538, 1710, 912, 1038, 1913, 284, 1467, 21858, 4590, 1038, 585, 1775, 538, 2039, 12759, 263, 6919, 15892, 2018, 546, 272, 314, 6919, 5157, 14963, 284, 328, 454, 825, 2132, 546, 272, 692, 3698, 27008, 4433, 2187, 825, 546, 815, 9598, 4590, 825, 585, 524, 538, 521, 912, 1038, 546, 314, 322, 24557, 323, 10947, 6262, 267, 271, 11924, 272, 454, 825, 2132, 546, 692, 3698, 1820, 318, 7290, 4433, 2187, 825, 554, 284, 7290, 6945, 4433, 994, 825, 737, 284, 327, 269, 12399, 4590, 825, 737, 31699, 4590, 825, 585, 795, 538, 737, 912, 1038, 1820, 795, 267, 554, 14728, 6540, 454, 339, 787, 912, 825, 3693, 334, 815, 19523, 27769, 341, 314, 272, 2639, 672, 1820, 318, 7290, 16216, 2211, 334, 994, 22322, 21955, 912, 22322, 825, 1820, 1412, 574, 18905, 17485, 1130, 2803, 632, 15255, 804, 2314, 620, 325, 12185, 3512, 324, 1422, 333, 14826, 7055, 825, 1820, 1412, 303, 4673, 647, 2953, 334, 721, 334, 632, 2041, 1593, 322, 7398, 572, 3299, 338, 903, 27769, 341, 314, 271, 3910, 1412, 25659, 629, 571, 635, 334, 11188, 552, 329, 6374, 334, 1612, 8527, 7055, 0, 26611, 23591, 24800, 270, 7090, 454, 258, 17683, 281, 30016, 268, 279, 454, 5814, 19523, 454, 18257, 301, 558, 3691, 281, 1488, 323, 1408, 454, 567, 7442, 749, 573, 657, 281, 25661, 807, 30954, 22222, 454, 567, 661, 329, 2075, 545, 1470, 281, 9556, 1518, 9258, 9078, 809, 1575, 865, 602, 621, 13976, 543, 7024, 513, 1592, 540, 454, 567, 782, 10569, 602, 4786, 547, 642, 267, 610, 606, 8900, 1592, 952, 972, 616, 9039, 563, 567, 4757, 281, 620, 340, 18089, 271, 2918, 277, 4343, 273, 287, 1638, 12975, 269, 525, 454, 18257, 692, 3698, 4558, 6600, 7865, 549, 2187, 825, 1710, 815, 1930, 6600, 7865, 549, 994, 825, 546, 272, 284, 18743, 4590, 825, 1775, 284, 271, 454, 825, 585, 1899, 538, 1710, 912, 1038, 1913, 284, 1467, 21858, 4590, 1038, 585, 1775, 538, 2039, 12759, 263, 6919, 15892, 2018, 546, 272, 314, 6919, 5157, 14963, 284, 328, 454, 825, 2132, 546, 272, 692, 3698, 27008, 4433, 2187, 825, 546, 815, 9598, 4590, 825, 585, 524, 538, 521, 912, 1038, 546, 314, 322, 24557, 323, 10947, 6262, 267, 271, 11924, 272, 454, 825, 2132, 546, 692, 3698, 1820, 318, 7290, 4433, 2187, 825, 554, 284, 7290, 6945, 4433, 994, 825, 737, 284, 327, 269, 12399, 4590, 825, 737, 31699, 4590, 825, 585, 795, 538, 737, 912, 1038, 1820, 795, 267, 554, 14728, 6540, 3698, 9258, 9078, 809, 1575, 5560, 267, 642, 2187, 825, 512, 815, 11713, 825, 585, 737, 538, 546, 912, 1038, 952, 546, 25208, 316, 2652, 642, 912, 2018, 512, 6910, 17347, 994, 825, 2132, 512, 1363, 692, 339, 787, 912, 825, 3693, 334, 815, 19523, 27769, 341, 314, 272, 2639, 825, 554, 815, 27008, 16216, 2211, 334, 994, 825, 737, 815, 9258, 9078, 809, 1575, 22607, 267, 272, 994, 825, 1820, 737, 22562, 22322, 21955, 912, 22322, 825, 1820, 1412, 574, 18905, 17485, 1130, 2803, 632, 15255, 804, 2314, 620, 325, 12185, 3512, 324, 1422, 333, 14826, 7055, 825, 1820, 1412, 303, 4673, 647, 2953, 334, 721, 334, 632, 2041, 1593, 322, 7398, 572, 3299, 338, 903, 27769, 341, 314, 271, 3910, 1412, 25659, 629, 571, 635, 334, 11188, 552, 329, 6374, 334, 1612, 8527, 7055, 0, 258, 256, 1315, 23591, 24800, 270, 7090, 454, 18411, 567, 32633, 3691, 281, 1488, 323, 1408, 454, 567, 7442, 749, 573, 657, 281, 25661, 807, 30954, 22222, 454, 567, 1306, 793, 520, 3120, 281, 5358, 30685, 595, 1304, 881, 320, 454, 567, 5136, 27826, 16343, 281, 8065, 541, 3288, 2923, 632, 476, 274, 6746, 657, 7696, 15606, 11188, 751, 743, 5964, 454, 18411, 2745, 1412, 4504, 1238, 345, 8619, 1714, 29194, 1003, 3266, 281, 1412, 454, 11133, 3266, 815, 703, 263, 3863, 17750, 15405, 2745, 1412, 4504, 1238, 345, 8619, 1714, 5302, 1495, 334, 1003, 3266, 281, 1412, 454, 11133, 3266, 273, 815, 703, 263, 3863, 17750, 15405, 2745, 1412, 4504, 1238, 345, 8619, 1714, 1768, 1356, 1003, 3266, 281, 1412, 454, 11133, 3266, 274, 815, 703, 263, 3863, 17750, 31156, 14310, 5964, 815, 630, 11133, 3266, 266, 11133, 3266, 273, 266, 11133, 3266, 274, 8358, 274, 454, 2745, 1267, 5964, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 5078, 2238, 269, 21418, 2597, 2014, 7050, 2566, 2523, 593, 25923, 454, 1993, 700, 276, 4149, 272, 543, 700, 275, 268, 276, 269, 4475, 2732, 1852, 568, 1271, 269, 10466, 609, 513, 561, 29856, 12966, 14053, 2168, 2238, 568, 5363, 563, 763, 1394, 1590, 581, 6854, 3636, 1700, 342, 8960, 513, 7178, 538, 5162, 610, 513, 15144, 523, 6512, 8720, 570, 1321, 4149, 273, 563, 10890, 1299, 29520, 525, 270, 14197, 6176, 623, 4353, 291, 8525, 476, 1015, 454, 763, 16315, 585, 6391, 538, 2013, 540, 623, 4353, 291, 616, 912, 272, 269, 27275, 1928, 799, 568, 4929, 9659, 971, 607, 547, 6861, 519, 3461, 1272, 2511, 585, 1896, 3275, 563, 273, 269, 15043, 14715, 4191, 1775, 4318, 269, 3597, 4191, 610, 10260, 4191, 563, 305, 2393, 4191, 616, 281, 13809, 540, 4887, 3159, 543, 1379, 267, 2530, 540, 25688, 16846, 543, 6662, 2530, 540, 14815, 538, 454, 290, 867, 4191, 616, 281, 15214, 2023, 807, 540, 6091, 267, 27105, 25688, 16846, 525, 543, 12012, 17915, 711, 538, 513, 454, 274, 269, 2349, 9554, 610, 15108, 18063, 799, 949, 581, 5701, 607, 513, 10551, 6595, 563, 272, 269, 570, 573, 344, 779, 4284, 23956, 476, 1321, 628, 7160, 454, 273, 269, 18909, 8523, 1975, 710, 15697, 2593, 454, 274, 269, 11644, 11147, 21806, 540, 8940, 4732, 18090, 268, 8234, 2593, 543, 17018, 2421, 779, 6481, 15610, 454, 275, 269, 631, 831, 807, 2405, 3821, 1299, 1234, 13630, 800, 676, 3220, 269, 13573, 1299, 4173, 2590, 454, 21206, 6176, 666, 581, 1336, 856, 693, 912, 272, 269, 1975, 710, 2657, 2593, 5291, 2517, 4178, 4732, 18090, 268, 8234, 2593, 270, 9008, 923, 270, 4621, 969, 270, 2675, 807, 1410, 270, 2675, 807, 1410, 4905, 11258, 0, 2691, 621, 2501, 547, 1279, 3856, 2895, 1516, 540, 3059, 1344, 267, 972, 616, 1896, 2923, 5079, 267, 1519, 11746, 267, 9804, 2923, 267, 7730, 267, 590, 3198, 267, 543, 1843, 4859, 563, 307, 1901, 281, 6196, 1796, 2421, 454, 307, 1901, 568, 513, 2757, 3070, 585, 19307, 543, 2895, 1516, 2115, 543, 814, 1044, 538, 946, 585, 1082, 1296, 269, 1280, 1279, 3856, 4859, 267, 621, 666, 3100, 693, 1101, 1025, 2313, 547, 581, 513, 1942, 15807, 3070, 950, 3379, 609, 12210, 2861, 4859, 563, 4913, 267, 2899, 596, 1413, 693, 519, 17825, 4478, 3395, 11746, 8021, 543, 519, 1279, 3856, 3790, 540, 1346, 5054, 267, 519, 5413, 3884, 1405, 865, 2312, 269, 769, 2474, 540, 10727, 267, 8668, 9946, 2161, 602, 513, 11145, 5944, 1164, 6871, 540, 11746, 1964, 2803, 3111, 269, 2986, 1576, 267, 519, 11393, 540, 18615, 1569, 547, 1344, 593, 11746, 1797, 602, 6051, 2053, 666, 581, 1279, 543, 4028, 1463, 1569, 547, 1808, 1344, 568, 7543, 563, 18893, 673, 281, 23299, 2557, 7521, 454, 18893, 673, 2923, 814, 519, 2823, 1464, 540, 11746, 267, 855, 621, 3085, 1405, 723, 519, 1482, 4390, 269, 2290, 2312, 5413, 540, 9804, 568, 1463, 1569, 585, 18334, 1964, 2803, 267, 855, 1317, 540, 519, 2470, 540, 5110, 762, 2923, 267, 621, 3085, 1405, 1683, 2228, 1569, 563, 763, 2359, 543, 7829, 2591, 540, 3395, 9804, 19307, 8021, 616, 711, 602, 1114, 689, 11746, 267, 543, 609, 26483, 2362, 2923, 1942, 267, 570, 4596, 540, 9804, 1949, 568, 2147, 269, 23299, 3928, 585, 9804, 2923, 723, 1044, 519, 1641, 540, 513, 2603, 540, 7521, 543, 1353, 269, 14451, 4390, 18671, 11920, 2923, 949, 581, 811, 11630, 547, 2825, 2566, 563, 2793, 306, 543, 590, 3198, 281, 7457, 543, 4027, 454, 2691, 621, 2501, 547, 2773, 585, 1344, 1569, 267, 3060, 7923, 4859, 3435, 7730, 543, 590, 3198, 616, 1390, 269, 21444, 6119, 666, 581, 3533, 22646, 267, 543, 1808, 1344, 666, 581, 17468, 1510, 2348, 547, 7227, 585, 513, 11746, 547, 8095, 563, 17387, 14688, 267, 7730, 543, 590, 3198, 3435, 3142, 1239, 4027, 547, 519, 3349, 899, 17241, 2839, 4027, 547, 2061, 2168, 2923, 2152, 689, 4929, 1239, 2530, 269, 634, 4641, 568, 602, 4859, 3435, 616, 2966, 585, 3119, 4859, 543, 666, 581, 7199, 563, 8505, 558, 730, 27764, 1359, 3435, 666, 9090, 2539, 519, 1269, 270, 11586, 269, 12465, 7730, 1062, 4408, 335, 2167, 616, 3908, 267, 7303, 2208, 2250, 1095, 564, 7182, 269, 5246, 1516, 3435, 585, 930, 3156, 267, 971, 607, 12948, 543, 3782, 267, 991, 547, 6961, 519, 8699, 540, 741, 21517, 543, 2154, 1239, 1799, 583, 1464, 22059, 602, 949, 711, 581, 2139, 538, 590, 3198, 543, 7730, 1949, 563, 30606, 4859, 281, 6056, 3608, 454, 2690, 3059, 2895, 1516, 267, 1843, 4859, 1949, 616, 513, 1390, 3070, 269, 1358, 1810, 1405, 723, 519, 6223, 1308, 2773, 540, 590, 3198, 610, 7730, 267, 855, 789, 723, 519, 2228, 1239, 10333, 540, 3119, 4859, 1949, 563, 5445, 616, 2966, 547, 581, 2653, 547, 4383, 543, 1683, 1239, 4027, 711, 6488, 539, 538, 11746, 3435, 269, 1635, 741, 2470, 267, 1843, 8637, 1810, 1405, 723, 519, 4408, 10628, 7687, 540, 7730, 4859, 267, 543, 865, 666, 4336, 547, 1360, 1804, 19206, 563, 2690, 930, 3156, 267, 1799, 583, 1464, 1590, 581, 21407, 543, 2328, 6823, 576, 270, 1348, 2173, 1415, 630, 310, 3036, 300, 264, 7207, 616, 513, 4183, 540, 1082, 1843, 4859, 1949, 269, 19554, 540, 3638, 27034, 593, 6740, 3615, 6087, 519, 3498, 540, 2359, 4507, 547, 1827, 519, 2934, 540, 519, 4859, 267, 799, 568, 1390, 585, 31150, 3156, 269, 1280, 1383, 267, 1843, 4859, 1949, 666, 946, 27034, 547, 8850, 17982, 829, 268, 15953, 1239, 2359, 4507, 267, 899, 1297, 540, 18187, 553, 610, 9552, 4266, 269, 4414, 1495, 656, 26275, 540, 18763, 715, 3941, 630, 6938, 2562, 264, 568, 519, 2012, 540, 519, 4480, 540, 18187, 908, 1239, 547, 824, 9136, 1369, 519, 1843, 4859, 1062, 547, 3986, 10727, 563, 763, 1318, 6388, 540, 1843, 4859, 3091, 513, 2230, 543, 1648, 18026, 10053, 4859, 3070, 269, 589, 4336, 13050, 6189, 1210, 20161, 8800, 2636, 585, 513, 1942, 15807, 3070, 602, 666, 1376, 1507, 666, 1332, 936, 942, 607, 2877, 563, 763, 4987, 3710, 883, 519, 3301, 4881, 519, 1843, 4859, 1062, 2636, 585, 513, 1447, 10687, 14658, 3562, 17907, 720, 1062, 269, 901, 1935, 2488, 513, 2268, 762, 5818, 538, 13055, 4398, 543, 666, 581, 5963, 2938, 607, 519, 1985, 5123, 538, 2895, 1516, 3435, 269, 0, 10666, 713, 1576, 454, 14549, 9107, 960, 568, 9308, 543, 14156, 14053, 267, 543, 1082, 19493, 4600, 6560, 547, 1265, 513, 2635, 3666, 1063, 519, 7569, 540, 519, 960, 543, 519, 991, 547, 2628, 930, 3007, 547, 741, 1378, 1134, 5630, 269, 634, 3804, 540, 713, 9074, 568, 547, 1683, 606, 7650, 540, 15779, 2566, 607, 621, 568, 1644, 547, 19493, 960, 267, 543, 5363, 12003, 2994, 585, 7231, 609, 621, 563, 1607, 9074, 568, 2139, 538, 1079, 8747, 1765, 1257, 543, 7317, 552, 19543, 563, 299, 13453, 21025, 599, 267, 10615, 540, 9751, 543, 4065, 7896, 267, 1261, 8172, 2023, 4659, 454, 12812, 1934, 585, 606, 7493, 540, 713, 9074, 281, 13262, 543, 5274, 9107, 4518, 269, 0, 334, 7010, 540, 4834, 666, 581, 12193, 676, 24275, 610, 676, 1210, 18839, 610, 17594, 269, 1548, 616, 519, 5294, 543, 931, 540, 1142, 1505, 286, 6904, 1505, 798, 596, 899, 1655, 286, 4208, 286, 522, 1548, 6381, 1131, 2014, 596, 547, 946, 513, 1114, 1505, 888, 1692, 1281, 513, 30011, 781, 1648, 1205, 11843, 888, 305, 636, 5364, 12594, 630, 3712, 5076, 994, 296, 6415, 4974, 585, 513, 681, 636, 5364, 12594, 3803, 981, 543, 723, 513, 7008, 1557, 2055, 602, 594, 6415, 2731, 10010, 609, 1862, 910, 1215, 798, 678, 6058, 1218, 3514, 883, 4264, 1426, 2504, 1949, 286, 910, 27539, 602, 596, 666, 16220, 12189, 513, 15555, 523, 2890, 2041, 547, 1685, 1022, 5114, 630, 324, 3052, 19601, 10521, 14552, 4283, 513, 5198, 609, 476, 276, 1866, 269, 13787, 619, 2721, 4408, 547, 3313, 741, 4358, 7158, 630, 272, 547, 476, 277, 1040, 1548, 781, 519, 5506, 602, 519, 4587, 7015, 786, 1376, 538, 26738, 476, 272, 609, 1010, 7015, 2047, 22290, 1864, 888, 323, 9057, 710, 519, 14496, 540, 519, 1985, 7440, 676, 1210, 25586, 10580, 267, 1287, 14377, 519, 6898, 883, 9266, 6898, 1210, 519, 2596, 1921, 1161, 267, 543, 1210, 5168, 7515, 267, 3313, 519, 14496, 540, 519, 7440, 269, 14424, 707, 4267, 269, 630, 320, 264, 3143, 589, 568, 645, 2368, 595, 568, 589, 2368, 595, 568, 1100, 2483, 288, 476, 6858, 23950, 2527, 540, 4396, 4401, 568, 12699, 676, 513, 18723, 2394, 519, 10917, 540, 519, 4401, 11224, 519, 10917, 540, 519, 18723, 269, 634, 4396, 4401, 568, 1287, 12628, 883, 476, 7742, 23950, 540, 5277, 1216, 693, 476, 2918, 5232, 595, 269, 2991, 476, 276, 25008, 267, 519, 4401, 543, 519, 1216, 616, 1312, 693, 476, 5325, 5232, 595, 269, 16930, 3002, 281, 11635, 268, 1547, 26493, 4826, 268, 476, 275, 269, 7277, 454, 6343, 568, 519, 3483, 540, 519, 25170, 593, 519, 8122, 888, 1410, 21622, 519, 2956, 540, 28681, 14768, 547, 11432, 1272, 454, 13043, 910, 2063, 835, 454, 13433, 267, 855, 1946, 568, 621, 512, 270, 274, 888, 13043, 910, 2063, 835, 454, 296, 1175, 723, 835, 811, 2243, 269, 594, 991, 547, 1265, 519, 3830, 585, 519, 1739, 2262, 1966, 281, 513, 1895, 540, 9493, 6814, 2281, 9428, 676, 476, 4037, 260, 1169, 476, 274, 3108, 269, 2311, 476, 280, 513, 6230, 1421, 972, 616, 476, 1220, 13803, 2281, 269, 3503, 606, 3830, 602, 3631, 519, 1297, 540, 13803, 2281, 1310, 476, 280, 513, 6230, 269, 1924, 2484, 594, 4312, 5249, 856, 3267, 0, 763, 654, 305, 3951, 568, 513, 6007, 540, 2185, 5705, 3949, 540, 5042, 2702, 269, 898, 2708, 525, 1312, 11913, 543, 26068, 5759, 676, 1797, 540, 11913, 543, 3308, 10253, 1107, 519, 11913, 5705, 3949, 616, 6863, 543, 11913, 12746, 625, 543, 519, 3308, 5705, 3949, 616, 14290, 543, 19987, 563, 306, 13990, 6556, 513, 11913, 630, 322, 31051, 2213, 264, 21842, 267, 513, 3308, 630, 22381, 573, 264, 21842, 267, 543, 513, 2489, 21842, 950, 5916, 269, 634, 654, 305, 3951, 729, 849, 1071, 5991, 768, 539, 609, 519, 654, 305, 2969, 630, 629, 913, 1070, 3850, 585, 513, 3102, 4879, 540, 4987, 543, 9740, 543, 513, 1797, 547, 2697, 27753, 563, 15575, 787, 540, 5169, 912, 10908, 583, 1154, 267, 17566, 267, 1299, 590, 1127, 869, 267, 476, 1220, 271, 454, 736, 910, 476, 1789, 3764, 630, 339, 574, 539, 994, 29949, 3951, 13159, 1305, 630, 514, 11079, 3029, 585, 476, 1839, 4218, 5928, 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 ]
[ 476, 273, 5016, 258, 476, 273, 269, 273, 2859, 2037, 4921, 256, 2336, 3698, 19309, 3287, 2187, 22592, 1946, 12169, 2187, 453, 453, 343, 815, 586, 454, 453, 25585, 263, 276, 994, 16596, 1535, 454, 2745, 6357, 1681, 263, 1015, 11723, 3698, 4277, 3287, 2187, 22592, 1317, 12169, 2187, 453, 453, 12061, 29985, 1535, 454, 453, 453, 343, 815, 586, 454, 453, 20357, 263, 276, 994, 16596, 1535, 454, 2745, 263, 15517, 532, 263, 274, 11723, 3698, 1118, 7272, 3205, 28442, 2187, 22592, 7006, 2255, 263, 916, 326, 2187, 453, 14851, 20444, 326, 2652, 1412, 4067, 12466, 4848, 16596, 2012, 454, 453, 453, 19197, 20444, 326, 2652, 1412, 13403, 268, 1518, 12466, 4848, 453, 12061, 29985, 2012, 454, 4848, 453, 4067, 815, 1412, 13403, 7055, 453, 28432, 912, 4848, 13537, 2891, 342, 520, 5602, 16596, 7006, 2255, 692, 21163, 1156, 815, 1118, 7272, 3205, 3488, 21163, 1156, 5073, 2745, 263, 21163, 1156, 3488, 13403, 268, 1518, 29125, 2745, 263, 21163, 1156, 3488, 4067, 10807, 2020, 258, 476, 274, 12793, 609, 10871, 3557, 3097, 12163, 1607, 568, 513, 24888, 547, 513, 5752, 17565, 1572, 8629, 14114, 686, 5034, 14691, 630, 302, 8008, 1070, 513, 2442, 3097, 5882, 540, 5752, 602, 781, 6322, 693, 1818, 3292, 4443, 547, 2601, 827, 563, 20701, 258, 476, 274, 269, 272, 6348, 29985, 3557, 9577, 609, 606, 5113, 476, 7531, 3698, 1118, 6831, 3300, 3287, 2187, 453, 8181, 26371, 815, 1535, 454, 22592, 7006, 2255, 9852, 2187, 453, 453, 12061, 29985, 1535, 454, 453, 14851, 544, 2652, 2048, 4532, 685, 912, 4848, 453, 343, 6834, 476, 272, 454, 453, 453, 19197, 544, 2652, 2048, 12248, 685, 912, 4848, 16596, 1535, 454, 453, 453, 19197, 544, 2652, 2048, 637, 564, 685, 912, 4848, 453, 343, 815, 2332, 26371, 454, 476, 16596, 7006, 2255, 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 ]
[ 29550, 4964, 269, 21984, 1157, 267, 717, 10422, 269, 630, 3192, 273, 264, 634, 1977, 32013, 281, 589, 1290, 22683, 32532, 2762, 269, 4639, 1636, 267, 11632, 281, 5682, 6229, 269, 27672, 517, 267, 808, 269, 630, 3192, 271, 264, 634, 1715, 3840, 17318, 281, 20616, 8648, 547, 476, 5002, 272, 269, 1715, 3840, 281, 10228, 2160, 269, 20484, 267, 595, 269, 543, 2480, 698, 331, 542, 267, 681, 269, 630, 2735, 278, 264, 968, 763, 5169, 543, 4720, 540, 519, 7128, 1599, 538, 2486, 281, 11872, 4724, 513, 3069, 1848, 4521, 1299, 5980, 5623, 267, 476, 2641, 281, 476, 11820, 1700, 14631, 269, 14986, 267, 654, 11482, 269, 630, 539, 4700, 630, 3192, 277, 264, 589, 11657, 776, 3778, 540, 26913, 538, 3345, 3013, 267, 1715, 3840, 281, 10228, 2160, 269, 681, 9801, 5112, 267, 808, 269, 630, 539, 4700, 630, 6977, 275, 264, 20450, 540, 519, 4937, 13909, 540, 519, 3557, 540, 11908, 267, 14205, 20087, 267, 21781, 281, 15656, 570, 269, 28331, 2006, 269, 30426, 5058, 476, 273, 634, 5345, 6295, 15613, 540, 2717, 6005, 476, 3066, 14205, 720, 267, 661, 6993, 269, 630, 5908, 276, 264, 589, 20048, 1670, 3778, 540, 519, 11785, 13772, 543, 17318, 267, 689, 476, 14321, 272, 1700, 5908, 276, 269, 12232, 593, 7732, 540, 1977, 31511, 535, 7865, 1948, 13670, 2537, 269, 5576, 928, 3187, 267, 808, 269, 630, 2735, 271, 264, 24354, 543, 519, 9046, 540, 11352, 267, 476, 8146, 271, 1700, 6642, 271, 281, 589, 17323, 540, 17235, 267, 681, 3999, 267, 543, 2717, 6005, 269, 12493, 267, 17252, 281, 2160, 540, 27228, 269, 590, 1506, 267, 808, 15030, 269, 630, 2735, 271, 264, 968, 288, 1007, 1413, 693, 7810, 17740, 807, 1848, 769, 623, 269, 10127, 22978, 630, 539, 12175, 634, 13639, 538, 3013, 269, 1715, 3840, 281, 5131, 4964, 269, 3244, 332, 976, 267, 681, 5861, 269, 630, 3192, 277, 264, 634, 1977, 16690, 625, 269, 1715, 3840, 281, 21025, 599, 269, 26791, 267, 589, 269, 630, 3192, 277, 264, 968, 8624, 517, 601, 12138, 779, 6215, 2314, 1763, 626, 519, 4793, 1503, 1848, 769, 654, 11482, 269, 14986, 630, 539, 4700, 589, 11657, 776, 3778, 540, 26913, 538, 3345, 3013, 269, 1715, 3840, 281, 10228, 2160, 269, 5204, 323, 24335, 267, 595, 2529, 269, 630, 4350, 274, 264, 26913, 538, 14967, 269, 1715, 3840, 281, 11197, 2023, 31588, 1722, 7577, 269, 13177, 267, 808, 14371, 269, 630, 3422, 274, 264, 27740, 26913, 538, 17039, 269, 1715, 3840, 281, 27740, 29550, 4964, 269, 13177, 267, 744, 15030, 269, 630, 4198, 279, 264, 27740, 26913, 538, 23916, 269, 20736, 5069, 267, 12135, 281, 16099, 2160, 269, 7066, 343, 2401, 267, 670, 6993, 269, 630, 3422, 280, 264, 968, 306, 18561, 538, 16713, 281, 476, 5197, 275, 1700, 5908, 276, 1848, 769, 670, 269, 7066, 343, 2401, 267, 26913, 538, 519, 2276, 281, 29120, 10749, 269, 1715, 3840, 281, 27740, 29550, 4964, 269, 21701, 267, 590, 269, 630, 2735, 271, 264, 15019, 10456, 269, 1715, 3840, 281, 10228, 269, 2443, 17147, 630, 2735, 273, 264, 968, 15575, 532, 2941, 338, 543, 6760, 1848, 3883, 5623, 267, 17352, 538, 1977, 3778, 269, 476, 1015, 281, 476, 18891, 269, 28243, 267, 681, 269, 630, 3192, 276, 264, 634, 15510, 540, 519, 3703, 16690, 625, 538, 3013, 6969, 476, 10082, 277, 281, 589, 11752, 540, 17227, 4578, 269, 23134, 267, 27359, 281, 23134, 2160, 269, 13879, 267, 661, 10611, 1421, 12789, 269, 630, 3192, 273, 264, 968, 20228, 1511, 29862, 3921, 514, 1734, 540, 853, 269, 570, 2459, 684, 344, 3474, 880, 267, 17039, 267, 476, 8146, 276, 1700, 8146, 279, 1848, 17039, 3778, 269, 476, 1724, 281, 476, 274, 4200, 1700, 30329, 269, 13879, 267, 808, 14389, 269, 630, 4198, 280, 264, 966, 690, 1132, 538, 16645, 664, 344, 269, 12052, 267, 14662, 281, 2160, 540, 3162, 10491, 269, 8381, 267, 623, 13034, 269, 630, 3192, 275, 264, 4563, 11683, 640, 281, 27740, 525, 538, 20616, 3162, 10491, 269, 1715, 3840, 281, 12928, 641, 325, 269, 20591, 290, 4785, 31064, 32530, 16739, 476, 272, 269, 4208, 568, 621, 1271, 547, 5431, 519, 6228, 543, 3483, 540, 10553, 29862, 338, 538, 3013, 286, 476, 273, 269, 11512, 875, 2413, 2384, 532, 814, 7960, 998, 513, 3126, 540, 11095, 5933, 269, 476, 274, 269, 9717, 519, 3140, 4527, 540, 10553, 29862, 338, 267, 875, 1223, 891, 1764, 7128, 1700, 10919, 640, 3347, 538, 519, 7013, 3148, 540, 519, 2136, 2276, 286, 30426, 5058, 476, 273, 769, 713, 2376, 267, 6723, 918, 2454, 543, 4460, 18703, 4983, 519, 1686, 540, 1977, 2384, 532, 936, 519, 1576, 540, 1614, 21971, 281, 2797, 267, 6963, 267, 543, 2146, 24579, 12378, 9010, 21971, 269, 2859, 4481, 267, 741, 3140, 7650, 540, 519, 7128, 2882, 513, 1413, 693, 519, 2242, 547, 519, 2707, 540, 7128, 26117, 267, 7128, 1599, 267, 10721, 1374, 267, 3347, 609, 4961, 267, 2959, 540, 7569, 585, 3028, 267, 12485, 543, 2029, 267, 543, 7403, 540, 7128, 7145, 936, 942, 269, 634, 5345, 6295, 15613, 540, 2717, 6005, 6723, 700, 269, 918, 2454, 543, 4460, 670, 269, 18703, 2717, 6005, 267, 899, 782, 22825, 267, 16137, 689, 1995, 269, 898, 5205, 267, 1287, 602, 607, 2413, 7128, 26933, 3406, 585, 811, 2500, 2994, 540, 2384, 532, 267, 789, 786, 581, 11461, 676, 519, 4245, 540, 7128, 1686, 269, 634, 7411, 568, 602, 7128, 1686, 568, 1651, 334, 6254, 267, 922, 4245, 2182, 547, 1224, 269, 2991, 782, 267, 602, 1686, 729, 476, 1789, 22444, 3582, 476, 272, 5990, 25886, 5508, 5990, 623, 5357, 21201, 3812, 676, 5215, 540, 2199, 13623, 13197, 741, 1378, 22649, 543, 14775, 547, 2199, 2175, 269, 4014, 602, 9867, 1995, 568, 5732, 513, 3638, 2707, 540, 4245, 267, 13623, 723, 2451, 1906, 5638, 602, 7866, 519, 3466, 5935, 2413, 2384, 532, 269, 28604, 568, 2556, 269, 586, 6396, 1108, 901, 1557, 6799, 606, 7664, 540, 7128, 1686, 602, 949, 948, 7128, 26933, 6236, 4244, 2104, 2994, 540, 2384, 532, 269, 3776, 2542, 540, 7128, 1686, 814, 3366, 721, 547, 9772, 513, 1880, 1448, 540, 2070, 269, 1284, 1265, 602, 513, 8789, 7678, 13057, 2221, 779, 7128, 26933, 12544, 7678, 602, 7512, 519, 13287, 540, 4830, 267, 3318, 13190, 585, 7128, 13623, 28934, 8876, 519, 7128, 2476, 689, 8236, 741, 5021, 1761, 267, 2523, 538, 2500, 6760, 8165, 269, 1284, 616, 849, 18617, 602, 713, 7678, 538, 2384, 532, 568, 4617, 2287, 1857, 2384, 532, 3448, 547, 4357, 3354, 607, 519, 3119, 9872, 3246, 3354, 547, 2486, 269, 1284, 3494, 602, 713, 814, 5906, 1279, 3856, 6286, 711, 1152, 585, 7128, 13623, 855, 849, 585, 2486, 269, 1284, 1589, 602, 713, 7678, 568, 16756, 532, 2864, 982, 14219, 1173, 532, 7128, 4390, 547, 948, 1711, 3540, 2950, 269, 3776, 10385, 568, 602, 713, 7678, 666, 581, 20328, 1152, 676, 1201, 1371, 532, 7128, 3007, 689, 519, 13287, 540, 3318, 13190, 547, 519, 10661, 540, 2500, 1966, 9010, 12352, 609, 519, 2950, 789, 7128, 269, 5548, 1324, 883, 7128, 1686, 1500, 621, 7805, 602, 930, 10054, 602, 1631, 7500, 607, 24936, 1682, 538, 519, 2361, 540, 2384, 532, 630, 1721, 1383, 602, 7145, 538, 2384, 532, 5673, 593, 26865, 7128, 13623, 689, 6214, 282, 610, 602, 519, 5207, 10862, 540, 7128, 13623, 568, 547, 4308, 609, 3978, 8265, 6760, 282, 610, 602, 519, 1655, 1259, 547, 4308, 609, 8265, 6760, 568, 998, 9859, 29862, 267, 4028, 3210, 547, 7125, 585, 3028, 267, 543, 9952, 24794, 8826, 13753, 264, 616, 711, 15851, 18408, 267, 855, 2864, 5079, 1500, 676, 5449, 7128, 3401, 543, 2054, 1235, 269, 1677, 581, 2386, 267, 519, 5079, 941, 1419, 8797, 543, 2484, 5498, 4370, 607, 1134, 607, 3617, 547, 741, 2053, 269, 1809, 519, 3140, 5133, 2982, 873, 547, 581, 5079, 20866, 267, 543, 4061, 1930, 547, 556, 4621, 573, 3130, 538, 519, 1769, 540, 2663, 3318, 1995, 543, 4657, 2825, 6381, 269, 1284, 616, 16208, 519, 2164, 540, 938, 3140, 1353, 998, 513, 5943, 1759, 593, 519, 1523, 540, 968, 322, 2734, 622, 4640, 1848, 272, 4635, 713, 5943, 267, 649, 666, 4766, 7128, 3906, 538, 2474, 540, 5722, 954, 22366, 6688, 281, 3040, 634, 2959, 689, 799, 519, 7128, 4020, 519, 26117, 543, 11173, 1379, 547, 957, 593, 2486, 269, 3040, 634, 4214, 540, 519, 7128, 1599, 610, 1909, 538, 2486, 269, 3040, 634, 10721, 1374, 540, 7128, 13623, 269, 3040, 634, 3347, 519, 7128, 1711, 609, 519, 5007, 1604, 269, 3040, 634, 2470, 540, 7128, 3646, 547, 2344, 610, 4383, 519, 3747, 585, 741, 2533, 269, 3040, 634, 9030, 2238, 267, 3292, 267, 543, 12485, 593, 799, 7128, 8041, 7048, 547, 11886, 741, 5692, 610, 3035, 10512, 1967, 269, 3040, 634, 6405, 3800, 519, 7128, 946, 547, 5581, 10512, 1967, 610, 5821, 269, 4635, 713, 25107, 5943, 267, 649, 723, 1336, 621, 3730, 547, 7941, 519, 1686, 540, 2384, 532, 883, 1614, 1114, 21971, 269, 1452, 21971, 616, 13747, 689, 835, 1776, 676, 519, 7805, 17282, 540, 513, 1880, 4640, 540, 2384, 532, 269, 634, 2797, 5736, 267, 865, 3957, 1317, 540, 519, 2673, 13218, 1063, 7128, 543, 6214, 267, 18584, 689, 519, 4367, 540, 7128, 883, 25772, 1282, 519, 476, 7277, 271, 779, 267, 4797, 998, 519, 28626, 1974, 267, 543, 8694, 1282, 519, 2038, 476, 5002, 271, 779, 269, 634, 6963, 5736, 2919, 538, 5114, 547, 519, 2797, 269, 898, 3576, 3180, 1282, 519, 476, 4350, 271, 779, 267, 4278, 1882, 1282, 519, 476, 4198, 271, 779, 543, 476, 3422, 271, 779, 267, 3459, 547, 2144, 1712, 1282, 519, 3735, 476, 3192, 271, 779, 269, 634, 6963, 5736, 1631, 4667, 547, 581, 4758, 1259, 547, 606, 5736, 10771, 2146, 1966, 6061, 269, 1635, 12270, 2384, 532, 883, 891, 1614, 21971, 13856, 676, 513, 1880, 4640, 540, 2384, 532, 267, 649, 798, 711, 1611, 547, 17538, 602, 972, 941, 2312, 6302, 1063, 476, 272, 26366, 996, 681, 269, 12448, 338, 267, 634, 10417, 540, 23654, 15613, 267, 5851, 6229, 267, 13325, 267, 9400, 667, 269, 7054, 7773, 267, 5549, 1421, 476, 2735, 271, 269, 30426, 5058, 476, 273, 634, 5345, 6295, 15613, 540, 2717, 6005, 476, 4029, 519, 21971, 269, 7439, 798, 649, 1611, 602, 538, 1346, 21971, 3025, 2384, 539, 538, 519, 1482, 1259, 269, 30052, 267, 519, 1483, 1686, 568, 2484, 811, 1950, 982, 602, 269, 16480, 267, 649, 3494, 602, 972, 568, 513, 1978, 3318, 31672, 602, 11225, 4441, 540, 16169, 267, 3318, 1143, 267, 543, 17284, 538, 2384, 532, 282, 602, 693, 1022, 2016, 942, 267, 835, 1305, 540, 2035, 568, 811, 3532, 267, 811, 4922, 3838, 267, 543, 1732, 6956, 982, 1866, 282, 543, 602, 713, 31672, 2242, 936, 942, 269, 6884, 267, 713, 3318, 31672, 814, 1044, 12799, 13994, 4327, 267, 543, 1346, 945, 723, 13994, 4327, 519, 2035, 723, 1044, 6444, 607, 519, 3401, 540, 741, 3924, 269, 744, 15030, 269, 14355, 267, 585, 1383, 267, 729, 513, 13085, 1163, 657, 3218, 540, 519, 3844, 2609, 540, 519, 6963, 4640, 540, 2384, 532, 269, 4033, 2053, 267, 519, 31672, 568, 17697, 1765, 23100, 539, 676, 782, 607, 519, 512, 659, 527, 10054, 602, 5581, 519, 1870, 540, 2384, 532, 543, 519, 1697, 1106, 585, 513, 7128, 8257, 547, 1491, 269, 3776, 4305, 568, 547, 948, 519, 3924, 1413, 547, 519, 2104, 676, 8204, 922, 2250, 538, 891, 2474, 543, 3843, 547, 1174, 1018, 519, 2250, 2823, 1742, 585, 519, 2104, 269, 586, 634, 11572, 16527, 16024, 2103, 723, 4330, 519, 4162, 540, 2038, 2384, 532, 538, 519, 2136, 2276, 267, 2523, 519, 9620, 1063, 1585, 1719, 2516, 547, 1827, 519, 7128, 269, 273, 22527, 3602, 267, 519, 4589, 540, 713, 1957, 9916, 513, 6712, 540, 1977, 7128, 1686, 538, 2474, 540, 922, 10721, 4640, 269, 274, 634, 1739, 4901, 540, 2609, 540, 519, 7128, 10721, 4640, 1282, 519, 2797, 5736, 21040, 593, 602, 4674, 269, 6181, 527, 22715, 543, 8191, 1436, 7216, 1977, 7128, 941, 17101, 676, 2199, 25772, 269, 9521, 741, 2296, 13413, 267, 1977, 7128, 13623, 26218, 519, 3532, 267, 3844, 6392, 540, 519, 13862, 547, 3715, 513, 16048, 267, 796, 4328, 23626, 585, 741, 13055, 269, 5502, 267, 1977, 7128, 6508, 1312, 741, 28431, 543, 2200, 689, 2199, 2797, 3401, 267, 1419, 20758, 14761, 269, 1358, 941, 267, 540, 1576, 267, 11461, 676, 519, 1876, 607, 547, 1018, 4247, 547, 22738, 543, 1018, 7060, 547, 8415, 269, 1809, 741, 3095, 547, 16973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9642, 2013, 267, 17967, 519, 3844, 3444, 849, 454, 1038, 952, 7003, 263, 9795, 264, 4939, 476, 273, 2652, 476, 272, 912, 2018, 585, 1775, 538, 2039, 22607, 2788, 318, 6352, 2187, 3546, 17967, 318, 4812, 9217, 267, 7003, 263, 9795, 264, 2260, 273, 3738, 1948, 4994, 532, 6238, 693, 4642, 19638, 5814, 1770, 11687, 692, 5035, 9046, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 18873, 585, 2274, 564, 13892, 1966, 476, 4366, 281, 15585, 622, 12005, 269, 8173, 8931, 825, 1219, 1449, 318, 16838, 4311, 2187, 1038, 5727, 4530, 513, 5119, 609, 1256, 2427, 3259, 269, 29185, 1038, 5119, 815, 1496, 454, 2018, 1496, 272, 267, 273, 16689, 2018, 1496, 274, 267, 275, 316, 22322, 1038, 476, 6540, 1038, 1163, 24624, 815, 1496, 454, 2018, 1496, 274, 267, 272, 16689, 2018, 1496, 275, 267, 273, 2639, 1038, 476, 6540, 1038, 8827, 14061, 8527, 622, 24624, 263, 9795, 994, 1038, 1582, 27863, 263, 10339, 24624, 267, 5119, 2020, 825, 1219, 1449, 318, 15957, 4311, 2187, 1038, 5727, 4530, 513, 5119, 609, 9642, 2427, 3259, 269, 29185, 1038, 5119, 815, 1496, 454, 2018, 1496, 272, 267, 273, 267, 274, 16689, 2018, 1496, 275, 267, 276, 267, 277, 16689, 2018, 1496, 278, 267, 279, 267, 280, 2639, 1038, 476, 6540, 1038, 2503, 815, 1496, 454, 2018, 1496, 278, 267, 275, 267, 272, 16689, 2018, 1496, 279, 267, 276, 267, 273, 16689, 2018, 1496, 280, 267, 277, 267, 274, 2639, 1038, 476, 6540, 1038, 8827, 14061, 8527, 622, 24624, 263, 9795, 994, 1038, 1582, 27863, 263, 1410, 1051, 267, 5119, 2020, 825, 1219, 1449, 318, 8527, 318, 6717, 310, 4311, 2187, 1038, 5727, 4530, 519, 4232, 318, 6717, 310, 1505, 269, 29185, 1038, 1582, 27863, 9230, 272, 267, 271, 1070, 8827, 269, 8527, 318, 6717, 310, 263, 16732, 271, 267, 271, 1070, 273, 4917, 1038, 1582, 27863, 9230, 272, 267, 272, 1070, 8827, 269, 8527, 318, 6717, 310, 263, 16732, 272, 267, 271, 1070, 273, 11723, 1038, 1582, 27863, 9230, 272, 267, 271, 1070, 8827, 269, 8527, 318, 6717, 310, 263, 16732, 271, 267, 272, 1070, 274, 4917, 1038, 1582, 27863, 9230, 273, 267, 271, 1070, 8827, 269, 8527, 318, 6717, 310, 263, 16732, 271, 267, 271, 1070, 274, 11723, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 4590, 0, 5035, 8827, 24998, 2187, 825, 5727, 8827, 585, 2274, 564, 13892, 1966, 476, 1704, 281, 14594, 10395, 5209, 907, 1547, 29185, 825, 1219, 4484, 318, 18474, 5209, 4311, 267, 9704, 2187, 1038, 5727, 7049, 4733, 782, 12673, 513, 1297, 1522, 3132, 593, 513, 5985, 1883, 25247, 780, 1038, 2433, 6943, 9704, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 5903, 314, 1598, 2639, 1038, 29185, 1038, 952, 711, 9704, 281, 2132, 29129, 1038, 5022, 815, 13634, 2018, 834, 272, 9899, 1496, 16689, 2018, 834, 273, 9899, 22373, 320, 2580, 834, 321, 2580, 834, 322, 257, 16689, 2018, 834, 274, 9899, 22373, 323, 2580, 834, 324, 2580, 834, 325, 257, 16689, 2018, 834, 275, 9899, 22373, 326, 2580, 834, 327, 2580, 834, 328, 257, 16689, 2018, 834, 276, 9899, 22373, 329, 2580, 834, 330, 2580, 834, 331, 257, 16689, 2018, 834, 277, 9899, 22373, 332, 2580, 834, 333, 2580, 834, 334, 257, 16689, 2018, 834, 278, 9899, 22373, 335, 2580, 834, 336, 2580, 834, 337, 2580, 834, 338, 257, 16689, 2018, 834, 279, 9899, 22373, 339, 2580, 834, 340, 2580, 834, 341, 257, 16689, 2018, 834, 280, 9899, 22373, 342, 2580, 834, 343, 2580, 834, 344, 2580, 834, 345, 257, 16689, 2018, 834, 271, 9899, 22373, 834, 2639, 1038, 7684, 692, 1038, 1267, 815, 1496, 3269, 6540, 1038, 585, 7857, 538, 9704, 912, 2018, 1007, 318, 14310, 815, 29129, 2018, 585, 4484, 538, 5022, 314, 323, 13424, 14158, 3546, 585, 6221, 538, 1267, 912, 7386, 1007, 318, 14310, 6910, 263, 14403, 1341, 4484, 994, 4449, 8931, 2018, 1267, 815, 1007, 318, 14310, 692, 1038, 2132, 1267, 19638, 5814, 1770, 11687, 692, 5035, 9046, 14818, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 5727, 18873, 585, 2274, 564, 13892, 1966, 476, 1704, 281, 14594, 10395, 5209, 907, 1547, 8173, 8931, 825, 1219, 1449, 4311, 2187, 1038, 2665, 815, 13634, 2018, 834, 2537, 9899, 22373, 611, 2580, 834, 2801, 2580, 834, 2378, 2580, 834, 321, 323, 2580, 834, 2041, 2580, 834, 8578, 2580, 834, 7251, 2580, 834, 576, 2580, 834, 22396, 31116, 1038, 7684, 692, 1038, 585, 2013, 267, 2503, 538, 2665, 29096, 10031, 2018, 1582, 27863, 263, 3553, 263, 1410, 1051, 1070, 1305, 263, 11405, 14061, 12072, 318, 18474, 5209, 6262, 848, 4297, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1770, 11687, 6230, 664, 3890, 0, 258, 2936, 4122, 1031, 3252, 1934, 454, 5814, 4351, 454, 5814, 5569, 454, 5814, 579, 328, 692, 258, 5352, 543, 2132, 513, 2189, 543, 4351, 454, 258, 630, 520, 2547, 476, 273, 2027, 1347, 3890, 1410, 1051, 281, 1412, 282, 30670, 476, 273, 1297, 267, 476, 273, 2539, 543, 476, 273, 5580, 2013, 4484, 264, 5569, 454, 258, 621, 1590, 581, 2189, 538, 519, 1592, 454, 3698, 5352, 318, 12690, 6025, 762, 17107, 825, 1247, 6936, 1384, 1038, 1347, 8217, 815, 29129, 1038, 1698, 318, 29582, 815, 1592, 30415, 269, 30913, 328, 318, 6269, 27664, 994, 1038, 1970, 318, 29582, 815, 1592, 30415, 269, 30913, 328, 318, 869, 27664, 994, 1038, 2338, 815, 1592, 30415, 6155, 580, 1080, 994, 1038, 6698, 815, 18358, 287, 3299, 1412, 258, 3299, 1412, 261, 262, 6540, 1038, 1592, 15058, 318, 18196, 815, 1496, 5115, 318, 29582, 267, 1970, 318, 29582, 267, 2338, 267, 6698, 267, 1698, 318, 29582, 267, 1970, 318, 29582, 267, 2338, 267, 6698, 6540, 1038, 585, 1347, 538, 2039, 263, 272, 267, 476, 280, 2187, 2018, 799, 8217, 815, 4351, 26716, 4069, 17338, 15058, 318, 18196, 994, 2018, 1347, 15461, 318, 5417, 815, 4351, 26716, 4069, 263, 6518, 8217, 994, 2018, 1347, 8217, 6910, 263, 10420, 15461, 318, 5417, 994, 2018, 1592, 15058, 318, 18196, 31927, 263, 6518, 8217, 2020, 1038, 2189, 6831, 1712, 815, 834, 2668, 21860, 263, 10420, 8217, 2020, 1038, 952, 2189, 6831, 1712, 711, 538, 3349, 912, 2018, 2132, 2189, 6831, 1712, 7531, 3698, 2307, 318, 1721, 12774, 15461, 318, 5417, 6025, 762, 267, 1592, 15058, 4671, 527, 956, 17107, 825, 3009, 815, 5352, 318, 12690, 6025, 762, 2020, 825, 782, 12774, 815, 1496, 13892, 6540, 825, 585, 2140, 538, 1592, 15058, 4671, 527, 956, 912, 1038, 547, 318, 718, 12774, 815, 1193, 2891, 2668, 21860, 263, 14241, 10947, 17750, 338, 8443, 257, 8923, 4283, 513, 834, 1341, 1193, 6025, 1856, 264, 1341, 834, 281, 834, 3910, 834, 257, 21875, 1038, 782, 12774, 6910, 263, 1729, 318, 718, 12774, 9239, 825, 2132, 782, 12774, 7531, 3698, 2307, 318, 1721, 12774, 15461, 318, 24525, 6025, 762, 267, 7329, 318, 17107, 825, 585, 782, 318, 16769, 538, 3349, 912, 1038, 7329, 15461, 318, 10849, 2925, 815, 834, 2668, 21860, 263, 718, 318, 16769, 314, 271, 7481, 1038, 952, 7329, 15461, 318, 10849, 2925, 2652, 7329, 318, 912, 2018, 2132, 782, 318, 16769, 7531, 3698, 2307, 318, 1721, 12774, 318, 663, 318, 26303, 6025, 762, 267, 7329, 318, 267, 1592, 15058, 4671, 527, 956, 17107, 825, 579, 328, 31428, 318, 5443, 340, 2891, 1432, 798, 596, 1616, 547, 9337, 286, 2580, 1592, 15058, 4671, 527, 956, 267, 834, 12988, 5602, 825, 1297, 14682, 1508, 815, 8771, 454, 825, 1247, 711, 1297, 14682, 1508, 912, 1038, 2119, 912, 2018, 547, 318, 26303, 815, 703, 263, 14241, 10947, 17750, 338, 8443, 257, 8923, 4283, 513, 1297, 281, 834, 3910, 834, 8442, 314, 271, 7481, 2018, 952, 547, 318, 26303, 3436, 11196, 272, 264, 543, 547, 318, 26303, 2999, 476, 276, 912, 3546, 1297, 14682, 1508, 815, 6936, 454, 2018, 3116, 912, 3546, 1297, 14682, 1508, 815, 8771, 454, 1038, 4849, 912, 2018, 1297, 14682, 1508, 815, 8771, 454, 825, 952, 547, 318, 26303, 11203, 476, 271, 912, 1038, 9337, 15461, 815, 1193, 263, 14241, 10947, 17750, 338, 8443, 257, 10000, 11845, 1239, 547, 281, 834, 3910, 834, 8442, 314, 271, 7481, 1038, 585, 782, 318, 16769, 538, 3349, 912, 2018, 7329, 15461, 318, 10849, 2925, 815, 834, 2668, 21860, 263, 718, 318, 16769, 314, 271, 7481, 2018, 952, 7329, 15461, 318, 10849, 2925, 2652, 7329, 318, 912, 3546, 782, 318, 16769, 314, 1729, 318, 26303, 316, 815, 9337, 15461, 454, 1038, 2132, 3349, 454, 825, 3116, 912, 1038, 2132, 3349, 7531, 3698, 1295, 15058, 8217, 17338, 15461, 318, 10849, 2925, 17107, 825, 5934, 815, 476, 1911, 1822, 1822, 1822, 876, 692, 825, 585, 1297, 538, 1592, 15461, 318, 10849, 2925, 912, 1038, 952, 1297, 2999, 5934, 912, 2018, 5934, 815, 1297, 692, 825, 2132, 5934, 7531, 3698, 3193, 15058, 8217, 17338, 15461, 318, 10849, 2925, 17107, 825, 5021, 815, 910, 1911, 1822, 1822, 692, 825, 585, 1297, 538, 1592, 15461, 318, 10849, 2925, 912, 1038, 952, 1297, 3436, 5021, 912, 2018, 5021, 815, 1297, 692, 825, 2132, 5021, 7531, 3698, 7003, 15058, 8217, 17338, 15461, 318, 10849, 2925, 17107, 825, 3259, 815, 476, 271, 692, 825, 585, 6221, 538, 1592, 15461, 318, 10849, 2925, 912, 1038, 3259, 6834, 476, 272, 692, 825, 2132, 3259, 7531, 3698, 2040, 15058, 8217, 17338, 15461, 318, 10849, 2925, 17107, 825, 2040, 15058, 815, 476, 271, 692, 825, 585, 1297, 538, 1592, 15461, 318, 10849, 2925, 912, 1038, 2040, 15058, 6834, 1297, 692, 825, 2132, 2040, 15058, 7531, 3698, 10841, 5334, 677, 5332, 17338, 15461, 5334, 677, 17107, 825, 3312, 8217, 815, 1592, 15461, 5334, 677, 454, 825, 15044, 8217, 815, 29129, 825, 585, 6221, 538, 1592, 15461, 5334, 677, 912, 1038, 15044, 8217, 6910, 263, 2381, 15058, 8217, 263, 13092, 8217, 4917, 1038, 3312, 8217, 31927, 263, 2381, 15058, 8217, 263, 13092, 8217, 11723, 825, 2132, 15044, 8217, 7531, 3698, 1784, 5334, 677, 5332, 17338, 15461, 5334, 677, 17107, 825, 3312, 8217, 815, 1592, 15461, 5334, 677, 454, 825, 15044, 8217, 815, 29129, 825, 585, 6221, 538, 1592, 15461, 5334, 677, 912, 1038, 15044, 8217, 6910, 32384, 15058, 8217, 263, 13092, 8217, 4917, 1038, 3312, 8217, 31927, 32384, 15058, 8217, 263, 13092, 8217, 11723, 825, 2132, 15044, 8217, 7531, 3698, 4994, 15058, 318, 14403, 17338, 15461, 5334, 677, 267, 6221, 17107, 825, 4994, 15058, 318, 14403, 815, 476, 271, 454, 825, 585, 6221, 538, 1592, 15461, 5334, 677, 912, 1038, 4994, 15058, 318, 14403, 6834, 476, 272, 454, 1038, 952, 6221, 2652, 1592, 15461, 5334, 677, 27709, 15058, 318, 14403, 268, 272, 14158, 2018, 2132, 4994, 15058, 318, 14403, 454, 0, 258, 303, 4673, 1073, 1084, 518, 1714, 1784, 340, 550, 334, 1965, 683, 806, 9222, 598, 665, 518, 3288, 18085, 21059, 2698, 632, 3288, 735, 571, 267, 586, 865, 3691, 20527, 560, 320, 513, 2364, 541, 1714, 476, 1428, 10065, 5403, 7845, 618, 324, 267, 1609, 324, 1784, 340, 550, 334, 632, 828, 5451, 1583, 2771, 571, 6403, 4777, 632, 3288, 18085, 21059, 2698, 632, 3288, 735, 571, 16948, 607, 6403, 1073, 1084, 518, 3288, 18085, 21059, 598, 1784, 340, 550, 334, 267, 6446, 1965, 3288, 6446, 1714, 7817, 324, 533, 26196, 5451, 269, 5897, 5035, 735, 571, 6769, 825, 1219, 6449, 8181, 9191, 1345, 8029, 1038, 1780, 1477, 825, 1219, 2836, 4788, 4311, 2567, 5897, 672, 1219, 2196, 28399, 8587, 1820, 2891, 21228, 1693, 13090, 14744, 825, 570, 290, 284, 15615, 9272, 2891, 28808, 516, 572, 2698, 632, 3288, 735, 571, 281, 8442, 3418, 825, 667, 284, 12839, 265, 271, 269, 1428, 1477, 825, 8713, 284, 12839, 5937, 1477, 825, 1820, 14052, 825, 1820, 2891, 22296, 18085, 21059, 513, 533, 26196, 1965, 281, 834, 3418, 825, 1820, 2891, 259, 2580, 9573, 3418, 825, 1820, 2891, 21228, 1693, 13090, 14744, 825, 3403, 2891, 10938, 16948, 2892, 597, 14744, 825, 1820, 2891, 21228, 1693, 13090, 14744, 825, 570, 290, 284, 15615, 9272, 2891, 28808, 516, 572, 2698, 632, 3288, 735, 571, 281, 8442, 3418, 825, 667, 284, 12839, 265, 271, 269, 1428, 1477, 825, 8713, 284, 12839, 5937, 1477, 825, 1820, 14052, 825, 1820, 2891, 22296, 18085, 21059, 513, 533, 26196, 1965, 281, 834, 3418, 825, 1820, 2891, 259, 2580, 9573, 3418, 825, 1820, 2891, 21228, 1693, 13090, 14744, 825, 3403, 2891, 10938, 16948, 2892, 597, 14744, 5897, 0, 18411, 2316, 307, 4041, 281, 1401, 268, 277, 268, 275, 18258, 454, 288, 7473, 295, 3036, 281, 1230, 24335, 18703, 454, 291, 12442, 281, 476, 274, 270, 276, 270, 1704, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]